./Ultimate.py --spec /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/properties/unreach-call.prp --file /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c --full-output --architecture 32bit


--------------------------------------------------------------------------------


Checking for ERROR reachability
Using default analysis
Version 4a390ef5
Calling Ultimate with: /root/.sdkman/candidates/java/current/bin/java -Dosgi.configuration.area=/storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/config -Xmx15G -Xms4m -jar /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/plugins/org.eclipse.equinox.launcher_1.5.800.v20200727-1323.jar -data @noDefault -ultimatedata /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data -tc /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/config/AutomizerReach.xml -i /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c -s /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/config/svcomp-Reach-32bit-Automizer_Default.epf --cacsl2boogietranslator.entry.function main --witnessprinter.witness.directory /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux --witnessprinter.witness.filename witness --witnessprinter.write.witness.besides.input.file false --witnessprinter.graph.data.specification CHECK( init(main()), LTL(G ! call(reach_error())) )

 --witnessprinter.graph.data.producer Automizer --witnessprinter.graph.data.architecture 32bit --witnessprinter.graph.data.programhash 9fc903c4e042f1a917ff23806dc398a0ae6250449674c68af7855fc8b73da478
--- Real Ultimate output ---
This is Ultimate 0.2.5-dev-4a390ef-m
[2024-10-23 22:09:52,927 INFO  L188        SettingsManager]: Resetting all preferences to default values...
[2024-10-23 22:09:52,998 INFO  L114        SettingsManager]: Loading settings from /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/config/svcomp-Reach-32bit-Automizer_Default.epf
[2024-10-23 22:09:53,003 WARN  L101        SettingsManager]: Preference file contains the following unknown settings:
[2024-10-23 22:09:53,005 WARN  L103        SettingsManager]:   * de.uni_freiburg.informatik.ultimate.core.Log level for class
[2024-10-23 22:09:53,030 INFO  L130        SettingsManager]: Preferences different from defaults after loading the file:
[2024-10-23 22:09:53,031 INFO  L151        SettingsManager]: Preferences of UltimateCore differ from their defaults:
[2024-10-23 22:09:53,031 INFO  L153        SettingsManager]:  * Log level for class=de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher=ERROR;
[2024-10-23 22:09:53,032 INFO  L151        SettingsManager]: Preferences of Boogie Preprocessor differ from their defaults:
[2024-10-23 22:09:53,033 INFO  L153        SettingsManager]:  * Use memory slicer=true
[2024-10-23 22:09:53,033 INFO  L151        SettingsManager]: Preferences of Boogie Procedure Inliner differ from their defaults:
[2024-10-23 22:09:53,033 INFO  L153        SettingsManager]:  * Ignore calls to procedures called more than once=ONLY_FOR_SEQUENTIAL_PROGRAMS
[2024-10-23 22:09:53,034 INFO  L151        SettingsManager]: Preferences of BlockEncodingV2 differ from their defaults:
[2024-10-23 22:09:53,034 INFO  L153        SettingsManager]:  * Create parallel compositions if possible=false
[2024-10-23 22:09:53,034 INFO  L153        SettingsManager]:  * Use SBE=true
[2024-10-23 22:09:53,036 INFO  L151        SettingsManager]: Preferences of CACSL2BoogieTranslator differ from their defaults:
[2024-10-23 22:09:53,036 INFO  L153        SettingsManager]:  * Pointer base address is valid at dereference=IGNORE
[2024-10-23 22:09:53,037 INFO  L153        SettingsManager]:  * sizeof long=4
[2024-10-23 22:09:53,037 INFO  L153        SettingsManager]:  * Overapproximate operations on floating types=true
[2024-10-23 22:09:53,037 INFO  L153        SettingsManager]:  * sizeof POINTER=4
[2024-10-23 22:09:53,037 INFO  L153        SettingsManager]:  * Check division by zero=IGNORE
[2024-10-23 22:09:53,038 INFO  L153        SettingsManager]:  * Pointer to allocated memory at dereference=IGNORE
[2024-10-23 22:09:53,038 INFO  L153        SettingsManager]:  * If two pointers are subtracted or compared they have the same base address=IGNORE
[2024-10-23 22:09:53,038 INFO  L153        SettingsManager]:  * Check array bounds for arrays that are off heap=IGNORE
[2024-10-23 22:09:53,039 INFO  L153        SettingsManager]:  * Allow undefined functions=false
[2024-10-23 22:09:53,039 INFO  L153        SettingsManager]:  * sizeof long double=12
[2024-10-23 22:09:53,039 INFO  L153        SettingsManager]:  * Check if freed pointer was valid=false
[2024-10-23 22:09:53,039 INFO  L153        SettingsManager]:  * Use constant arrays=true
[2024-10-23 22:09:53,040 INFO  L151        SettingsManager]: Preferences of RCFGBuilder differ from their defaults:
[2024-10-23 22:09:53,040 INFO  L153        SettingsManager]:  * Size of a code block=SequenceOfStatements
[2024-10-23 22:09:53,040 INFO  L153        SettingsManager]:  * Only consider context switches at boundaries of atomic blocks=true
[2024-10-23 22:09:53,041 INFO  L153        SettingsManager]:  * SMT solver=External_DefaultMode
[2024-10-23 22:09:53,041 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2024-10-23 22:09:53,041 INFO  L151        SettingsManager]: Preferences of TraceAbstraction differ from their defaults:
[2024-10-23 22:09:53,041 INFO  L153        SettingsManager]:  * Compute Interpolants along a Counterexample=FPandBP
[2024-10-23 22:09:53,042 INFO  L153        SettingsManager]:  * Positions where we compute the Hoare Annotation=LoopHeads
[2024-10-23 22:09:53,042 INFO  L153        SettingsManager]:  * Trace refinement strategy=CAMEL
[2024-10-23 22:09:53,042 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in
[2024-10-23 22:09:53,043 INFO  L153        SettingsManager]:  * Apply one-shot large block encoding in concurrent analysis=false
[2024-10-23 22:09:53,043 INFO  L153        SettingsManager]:  * Automaton type used in concurrency analysis=PETRI_NET
[2024-10-23 22:09:53,043 INFO  L153        SettingsManager]:  * Order on configurations for Petri net unfoldings=DBO
[2024-10-23 22:09:53,044 INFO  L153        SettingsManager]:  * SMT solver=External_ModelsAndUnsatCoreMode
[2024-10-23 22:09:53,044 INFO  L153        SettingsManager]:  * Looper check in Petri net analysis=SEMANTIC
WARNING: An illegal reflective access operation has occurred
WARNING: Illegal reflective access by com.sun.xml.bind.v2.runtime.reflect.opt.Injector$1 (file:/storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/plugins/com.sun.xml.bind_2.2.0.v201505121915.jar) to method java.lang.ClassLoader.defineClass(java.lang.String,byte[],int,int)
WARNING: Please consider reporting this to the maintainers of com.sun.xml.bind.v2.runtime.reflect.opt.Injector$1
WARNING: Use --illegal-access=warn to enable warnings of further illegal reflective access operations
WARNING: All illegal access operations will be denied in a future release
Applying setting for plugin de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator: Entry function -> main
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Witness directory -> /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Witness filename -> witness
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Write witness besides input file -> false
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Graph data specification -> CHECK( init(main()), LTL(G ! call(reach_error())) )


Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Graph data producer -> Automizer
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Graph data architecture -> 32bit
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Graph data programhash -> 9fc903c4e042f1a917ff23806dc398a0ae6250449674c68af7855fc8b73da478
[2024-10-23 22:09:53,278 INFO  L75    nceAwareModelManager]: Repository-Root is: /tmp
[2024-10-23 22:09:53,302 INFO  L261   ainManager$Toolchain]: [Toolchain 1]: Applicable parser(s) successfully (re)initialized
[2024-10-23 22:09:53,307 INFO  L217   ainManager$Toolchain]: [Toolchain 1]: Toolchain selected.
[2024-10-23 22:09:53,308 INFO  L270        PluginConnector]: Initializing CDTParser...
[2024-10-23 22:09:53,308 INFO  L274        PluginConnector]: CDTParser initialized
[2024-10-23 22:09:53,309 INFO  L431   ainManager$Toolchain]: [Toolchain 1]: Parsing single file: /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c
[2024-10-23 22:09:54,698 INFO  L533              CDTParser]: Created temporary CDT project at NULL
[2024-10-23 22:09:54,860 INFO  L384              CDTParser]: Found 1 translation units.
[2024-10-23 22:09:54,861 INFO  L180              CDTParser]: Scanning /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c
[2024-10-23 22:09:54,868 INFO  L427              CDTParser]: About to delete temporary CDT project at /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/4ef965f25/aa2b630032d74a95a56f9165b486ffff/FLAG442c888e6
[2024-10-23 22:09:54,883 INFO  L435              CDTParser]: Successfully deleted /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/4ef965f25/aa2b630032d74a95a56f9165b486ffff
[2024-10-23 22:09:54,886 INFO  L299   ainManager$Toolchain]: ####################### [Toolchain 1] #######################
[2024-10-23 22:09:54,888 INFO  L133        ToolchainWalker]: Walking toolchain with 6 elements.
[2024-10-23 22:09:54,890 INFO  L112        PluginConnector]: ------------------------CACSL2BoogieTranslator----------------------------
[2024-10-23 22:09:54,890 INFO  L270        PluginConnector]: Initializing CACSL2BoogieTranslator...
[2024-10-23 22:09:54,895 INFO  L274        PluginConnector]: CACSL2BoogieTranslator initialized
[2024-10-23 22:09:54,895 INFO  L184        PluginConnector]: Executing the observer ACSLObjectContainerObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 23.10 10:09:54" (1/1) ...
[2024-10-23 22:09:54,898 INFO  L204        PluginConnector]: Invalid model from CACSL2BoogieTranslator for observer de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator.ACSLObjectContainerObserver@388d2ffe and model type de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:54, skipping insertion in model container
[2024-10-23 22:09:54,898 INFO  L184        PluginConnector]: Executing the observer CACSL2BoogieTranslatorObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 23.10 10:09:54" (1/1) ...
[2024-10-23 22:09:54,922 INFO  L175         MainTranslator]: Built tables and reachable declarations
[2024-10-23 22:09:55,105 WARN  L248   ndardFunctionHandler]: Function reach_error is already implemented but we override the implementation for the call at /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c[684,697]
[2024-10-23 22:09:55,155 INFO  L210          PostProcessor]: Analyzing one entry point: main
[2024-10-23 22:09:55,261 INFO  L200         MainTranslator]: Completed pre-run
[2024-10-23 22:09:55,282 WARN  L248   ndardFunctionHandler]: Function reach_error is already implemented but we override the implementation for the call at /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c[684,697]
[2024-10-23 22:09:55,321 INFO  L210          PostProcessor]: Analyzing one entry point: main
[2024-10-23 22:09:55,391 INFO  L204         MainTranslator]: Completed translation
[2024-10-23 22:09:55,392 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55 WrapperNode
[2024-10-23 22:09:55,392 INFO  L131        PluginConnector]: ------------------------ END CACSL2BoogieTranslator----------------------------
[2024-10-23 22:09:55,393 INFO  L112        PluginConnector]: ------------------------Boogie Procedure Inliner----------------------------
[2024-10-23 22:09:55,394 INFO  L270        PluginConnector]: Initializing Boogie Procedure Inliner...
[2024-10-23 22:09:55,394 INFO  L274        PluginConnector]: Boogie Procedure Inliner initialized
[2024-10-23 22:09:55,400 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,416 INFO  L184        PluginConnector]: Executing the observer Inliner from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,455 INFO  L138                Inliner]: procedures = 21, calls = 382, calls flagged for inlining = 4, calls inlined = 4, statements flattened = 405
[2024-10-23 22:09:55,456 INFO  L131        PluginConnector]: ------------------------ END Boogie Procedure Inliner----------------------------
[2024-10-23 22:09:55,457 INFO  L112        PluginConnector]: ------------------------Boogie Preprocessor----------------------------
[2024-10-23 22:09:55,457 INFO  L270        PluginConnector]: Initializing Boogie Preprocessor...
[2024-10-23 22:09:55,457 INFO  L274        PluginConnector]: Boogie Preprocessor initialized
[2024-10-23 22:09:55,473 INFO  L184        PluginConnector]: Executing the observer EnsureBoogieModelObserver from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,474 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,482 INFO  L184        PluginConnector]: Executing the observer MemorySlicer from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,510 INFO  L175           MemorySlicer]: Split 366 memory accesses to 2 slices as follows [2, 364]. 99 percent of accesses are in the largest equivalence class. The 364 initializations are split as follows [2, 362]. The 0 writes are split as follows [0, 0].
[2024-10-23 22:09:55,514 INFO  L184        PluginConnector]: Executing the observer ConstExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,514 INFO  L184        PluginConnector]: Executing the observer StructExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,545 INFO  L184        PluginConnector]: Executing the observer UnstructureCode from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,552 INFO  L184        PluginConnector]: Executing the observer FunctionInliner from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,555 INFO  L184        PluginConnector]: Executing the observer LTLStepAnnotator from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,560 INFO  L184        PluginConnector]: Executing the observer BoogieSymbolTableConstructor from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,571 INFO  L131        PluginConnector]: ------------------------ END Boogie Preprocessor----------------------------
[2024-10-23 22:09:55,572 INFO  L112        PluginConnector]: ------------------------RCFGBuilder----------------------------
[2024-10-23 22:09:55,572 INFO  L270        PluginConnector]: Initializing RCFGBuilder...
[2024-10-23 22:09:55,572 INFO  L274        PluginConnector]: RCFGBuilder initialized
[2024-10-23 22:09:55,573 INFO  L184        PluginConnector]: Executing the observer RCFGBuilderObserver from plugin RCFGBuilder for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (1/1) ...
[2024-10-23 22:09:55,578 INFO  L173          SolverBuilder]: Constructing external solver with command: z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2024-10-23 22:09:55,589 INFO  L189       MonitoredProcess]: No working directory specified, using /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3
[2024-10-23 22:09:55,604 INFO  L229       MonitoredProcess]: Starting monitored process 1 with /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (exit command is (exit), workingDir is null)
[2024-10-23 22:09:55,608 INFO  L327       MonitoredProcess]: [MP /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (1)] Waiting until timeout for monitored process
[2024-10-23 22:09:55,655 INFO  L130     BoogieDeclarations]: Found specification of procedure #Ultimate.allocInit
[2024-10-23 22:09:55,655 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_POS
[2024-10-23 22:09:55,655 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_POS
[2024-10-23 22:09:55,656 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~int#0
[2024-10-23 22:09:55,656 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~int#1
[2024-10-23 22:09:55,656 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_0_180
[2024-10-23 22:09:55,656 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_0_180
[2024-10-23 22:09:55,657 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_180
[2024-10-23 22:09:55,658 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_180
[2024-10-23 22:09:55,658 INFO  L130     BoogieDeclarations]: Found specification of procedure read~real#0
[2024-10-23 22:09:55,658 INFO  L130     BoogieDeclarations]: Found specification of procedure read~real#1
[2024-10-23 22:09:55,658 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN
[2024-10-23 22:09:55,658 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN
[2024-10-23 22:09:55,658 INFO  L130     BoogieDeclarations]: Found specification of procedure ULTIMATE.start
[2024-10-23 22:09:55,658 INFO  L138     BoogieDeclarations]: Found implementation of procedure ULTIMATE.start
[2024-10-23 22:09:55,658 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~real#0
[2024-10-23 22:09:55,659 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~real#1
[2024-10-23 22:09:55,737 INFO  L238             CfgBuilder]: Building ICFG
[2024-10-23 22:09:55,739 INFO  L264             CfgBuilder]: Building CFG for each procedure with an implementation
[2024-10-23 22:09:56,108 INFO  L?                        ?]: Removed 15 outVars from TransFormulas that were not future-live.
[2024-10-23 22:09:56,108 INFO  L287             CfgBuilder]: Performing block encoding
[2024-10-23 22:09:56,170 INFO  L309             CfgBuilder]: Using the 1 location(s) as analysis (start of procedure ULTIMATE.start)
[2024-10-23 22:09:56,171 INFO  L314             CfgBuilder]: Removed 1 assume(true) statements.
[2024-10-23 22:09:56,171 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 23.10 10:09:56 BoogieIcfgContainer
[2024-10-23 22:09:56,171 INFO  L131        PluginConnector]: ------------------------ END RCFGBuilder----------------------------
[2024-10-23 22:09:56,173 INFO  L112        PluginConnector]: ------------------------TraceAbstraction----------------------------
[2024-10-23 22:09:56,173 INFO  L270        PluginConnector]: Initializing TraceAbstraction...
[2024-10-23 22:09:56,176 INFO  L274        PluginConnector]: TraceAbstraction initialized
[2024-10-23 22:09:56,177 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "CDTParser AST 23.10 10:09:54" (1/3) ...
[2024-10-23 22:09:56,178 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@badbab3 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 23.10 10:09:56, skipping insertion in model container
[2024-10-23 22:09:56,178 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:09:55" (2/3) ...
[2024-10-23 22:09:56,178 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@badbab3 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 23.10 10:09:56, skipping insertion in model container
[2024-10-23 22:09:56,179 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 23.10 10:09:56" (3/3) ...
[2024-10-23 22:09:56,180 INFO  L112   eAbstractionObserver]: Analyzing ICFG sin_interpolated_negation.c
[2024-10-23 22:09:56,193 INFO  L209   ceAbstractionStarter]: Automizer settings: Hoare:LoopHeads NWA Interpolation:FPandBP Determinization: PREDICATE_ABSTRACTION
[2024-10-23 22:09:56,193 INFO  L149   ceAbstractionStarter]: Applying trace abstraction to program that has 1 error locations.
[2024-10-23 22:09:56,251 INFO  L332      AbstractCegarLoop]: ======== Iteration 0 == of CEGAR loop == AllErrorsAtOnce ========
[2024-10-23 22:09:56,258 INFO  L333      AbstractCegarLoop]: Settings: SEPARATE_VIOLATION_CHECK=true, mInterprocedural=true, mMaxIterations=1000000, mWatchIteration=1000000, mArtifact=RCFG, mInterpolation=FPandBP, mInterpolantAutomaton=STRAIGHT_LINE, mDumpAutomata=false, mAutomataFormat=ATS_NUMERATE, mDumpPath=., mDeterminiation=PREDICATE_ABSTRACTION, mMinimize=MINIMIZE_SEVPA, mAutomataTypeConcurrency=PETRI_NET, mHoareTripleChecks=INCREMENTAL, mHoareAnnotationPositions=LoopHeads, mDumpOnlyReuseAutomata=false, mLimitTraceHistogram=0, mErrorLocTimeLimit=0, mLimitPathProgramCount=0, mCollectInterpolantStatistics=true, mHeuristicEmptinessCheck=false, mHeuristicEmptinessCheckAStarHeuristic=ZERO, mHeuristicEmptinessCheckAStarHeuristicRandomSeed=1337, mHeuristicEmptinessCheckSmtFeatureScoringMethod=DAGSIZE, mSMTFeatureExtraction=false, mSMTFeatureExtractionDumpPath=., mOverrideInterpolantAutomaton=false, mMcrInterpolantMethod=WP, mPorIndependenceSettings=[Lde.uni_freiburg.informatik.ultimate.lib.tracecheckerutils.partialorder.independence.IndependenceSettings;@9d22506, mLbeIndependenceSettings=[IndependenceType=SEMANTIC, AbstractionType=NONE, UseConditional=false, UseSemiCommutativity=true, Solver=Z3, SolverTimeout=1000ms]
[2024-10-23 22:09:56,259 INFO  L334      AbstractCegarLoop]: Starting to check reachability of 1 error locations.
[2024-10-23 22:09:56,262 INFO  L276                IsEmpty]: Start isEmpty. Operand  has 39 states, 25 states have (on average 1.32) internal successors, (33), 26 states have internal predecessors, (33), 8 states have call successors, (8), 4 states have call predecessors, (8), 4 states have return successors, (8), 8 states have call predecessors, (8), 8 states have call successors, (8)
[2024-10-23 22:09:56,270 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 50
[2024-10-23 22:09:56,270 INFO  L207           NwaCegarLoop]: Found error trace
[2024-10-23 22:09:56,271 INFO  L215           NwaCegarLoop]: trace histogram [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[2024-10-23 22:09:56,271 INFO  L396      AbstractCegarLoop]: === Iteration 1 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2024-10-23 22:09:56,276 INFO  L157       PredicateUnifier]: Initialized classic predicate unifier
[2024-10-23 22:09:56,276 INFO  L85        PathProgramCache]: Analyzing trace with hash -86602883, now seen corresponding path program 1 times
[2024-10-23 22:09:56,285 INFO  L118   FreeRefinementEngine]: Executing refinement strategy CAMEL
[2024-10-23 22:09:56,285 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleSmtInterpolCraig [564486934]
[2024-10-23 22:09:56,286 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2024-10-23 22:09:56,286 INFO  L127          SolverBuilder]: Constructing new instance of SMTInterpol with explicit timeout -1 ms and remaining time -1 ms
[2024-10-23 22:09:56,455 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,591 INFO  L368   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 4
[2024-10-23 22:09:56,597 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,603 INFO  L368   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 2
[2024-10-23 22:09:56,606 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,609 INFO  L368   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 2
[2024-10-23 22:09:56,611 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,614 INFO  L368   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 2
[2024-10-23 22:09:56,615 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,617 INFO  L368   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 25
[2024-10-23 22:09:56,621 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,625 INFO  L368   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 2
[2024-10-23 22:09:56,627 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,630 INFO  L368   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 2
[2024-10-23 22:09:56,632 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,636 INFO  L368   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 2
[2024-10-23 22:09:56,637 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:09:56,639 INFO  L134       CoverageAnalysis]: Checked inductivity of 20 backedges. 0 proven. 0 refuted. 0 times theorem prover too weak. 20 trivial. 0 not checked.
[2024-10-23 22:09:56,640 INFO  L136   FreeRefinementEngine]: Strategy CAMEL found an infeasible trace
[2024-10-23 22:09:56,640 INFO  L334   FreeRefinementEngine]: Using interpolant generator IpTcStrategyModuleSmtInterpolCraig [564486934]
[2024-10-23 22:09:56,641 INFO  L158   FreeRefinementEngine]: IpTcStrategyModuleSmtInterpolCraig [564486934] provided 1 perfect and 0 imperfect interpolant sequences
[2024-10-23 22:09:56,641 INFO  L185   FreeRefinementEngine]: Found 1 perfect and 0 imperfect interpolant sequences.
[2024-10-23 22:09:56,641 INFO  L198   FreeRefinementEngine]: Number of different interpolants: perfect sequences [2] imperfect sequences [] total 2
[2024-10-23 22:09:56,645 INFO  L121   tionRefinementEngine]: Using interpolant automaton builder IpAbStrategyModuleStraightlineAll [213835148]
[2024-10-23 22:09:56,646 INFO  L85    oduleStraightlineAll]: Using 1 perfect interpolants to construct interpolant automaton
[2024-10-23 22:09:56,650 INFO  L548      AbstractCegarLoop]: INTERPOLANT automaton has 2 states
[2024-10-23 22:09:56,650 INFO  L100   FreeRefinementEngine]: Using predicate unifier PredicateUnifier provided by strategy CAMEL
[2024-10-23 22:09:56,671 INFO  L143   InterpolantAutomaton]: Constructing interpolant automaton starting with 2 interpolants.
[2024-10-23 22:09:56,672 INFO  L145   InterpolantAutomaton]: CoverageRelationStatistics Valid=1, Invalid=1, Unknown=0, NotChecked=0, Total=2
[2024-10-23 22:09:56,674 INFO  L87              Difference]: Start difference. First operand  has 39 states, 25 states have (on average 1.32) internal successors, (33), 26 states have internal predecessors, (33), 8 states have call successors, (8), 4 states have call predecessors, (8), 4 states have return successors, (8), 8 states have call predecessors, (8), 8 states have call successors, (8) Second operand  has 2 states, 2 states have (on average 10.0) internal successors, (20), 2 states have internal predecessors, (20), 2 states have call successors, (5), 1 states have call predecessors, (5), 1 states have return successors, (5), 2 states have call predecessors, (5), 2 states have call successors, (5)
[2024-10-23 22:09:56,720 INFO  L144             Difference]: Subtrahend was deterministic. Have not used determinization.
[2024-10-23 22:09:56,721 INFO  L93              Difference]: Finished difference Result 77 states and 97 transitions.
[2024-10-23 22:09:56,722 INFO  L141   InterpolantAutomaton]: Switched to read-only mode: deterministic interpolant automaton has 2 states. 
[2024-10-23 22:09:56,723 INFO  L78                 Accepts]: Start accepts. Automaton has  has 2 states, 2 states have (on average 10.0) internal successors, (20), 2 states have internal predecessors, (20), 2 states have call successors, (5), 1 states have call predecessors, (5), 1 states have return successors, (5), 2 states have call predecessors, (5), 2 states have call successors, (5) Word has length 49
[2024-10-23 22:09:56,723 INFO  L84                 Accepts]: Finished accepts. some prefix is accepted.
[2024-10-23 22:09:56,729 INFO  L225             Difference]: With dead ends: 77
[2024-10-23 22:09:56,730 INFO  L226             Difference]: Without dead ends: 37
[2024-10-23 22:09:56,733 INFO  L431           NwaCegarLoop]: 0 DeclaredPredicates, 18 GetRequests, 18 SyntacticMatches, 0 SemanticMatches, 0 ConstructedPredicates, 0 IntricatePredicates, 0 DeprecatedPredicates, 0 ImplicationChecksByTransitivity, 0.0s TimeCoverageRelationStatistics Valid=1, Invalid=1, Unknown=0, NotChecked=0, Total=2
[2024-10-23 22:09:56,738 INFO  L432           NwaCegarLoop]: 42 mSDtfsCounter, 0 mSDsluCounter, 0 mSDsCounter, 0 mSdLazyCounter, 4 mSolverCounterSat, 0 mSolverCounterUnsat, 0 mSolverCounterUnknown, 0 mSolverCounterNotChecked, 0.0s Time, 0 mProtectedPredicate, 0 mProtectedAction, 0 SdHoareTripleChecker+Valid, 42 SdHoareTripleChecker+Invalid, 4 SdHoareTripleChecker+Unknown, 0 SdHoareTripleChecker+Unchecked, 0.0s SdHoareTripleChecker+Time, 0 IncrementalHoareTripleChecker+Valid, 4 IncrementalHoareTripleChecker+Invalid, 0 IncrementalHoareTripleChecker+Unknown, 0 IncrementalHoareTripleChecker+Unchecked, 0.0s IncrementalHoareTripleChecker+Time
[2024-10-23 22:09:56,740 INFO  L433           NwaCegarLoop]: SdHoareTripleChecker [0 Valid, 42 Invalid, 4 Unknown, 0 Unchecked, 0.0s Time], IncrementalHoareTripleChecker [0 Valid, 4 Invalid, 0 Unknown, 0 Unchecked, 0.0s Time]
[2024-10-23 22:09:56,754 INFO  L82        GeneralOperation]: Start minimizeSevpa. Operand 37 states.
[2024-10-23 22:09:56,772 INFO  L88        GeneralOperation]: Finished minimizeSevpa. Reduced states from 37 to 37.
[2024-10-23 22:09:56,773 INFO  L82        GeneralOperation]: Start removeUnreachable. Operand  has 37 states, 24 states have (on average 1.1666666666666667) internal successors, (28), 24 states have internal predecessors, (28), 8 states have call successors, (8), 4 states have call predecessors, (8), 4 states have return successors, (8), 8 states have call predecessors, (8), 8 states have call successors, (8)
[2024-10-23 22:09:56,775 INFO  L88        GeneralOperation]: Finished removeUnreachable. Reduced from 37 states to 37 states and 44 transitions.
[2024-10-23 22:09:56,777 INFO  L78                 Accepts]: Start accepts. Automaton has 37 states and 44 transitions. Word has length 49
[2024-10-23 22:09:56,777 INFO  L84                 Accepts]: Finished accepts. word is rejected.
[2024-10-23 22:09:56,777 INFO  L471      AbstractCegarLoop]: Abstraction has 37 states and 44 transitions.
[2024-10-23 22:09:56,778 INFO  L472      AbstractCegarLoop]: INTERPOLANT automaton has  has 2 states, 2 states have (on average 10.0) internal successors, (20), 2 states have internal predecessors, (20), 2 states have call successors, (5), 1 states have call predecessors, (5), 1 states have return successors, (5), 2 states have call predecessors, (5), 2 states have call successors, (5)
[2024-10-23 22:09:56,779 INFO  L276                IsEmpty]: Start isEmpty. Operand 37 states and 44 transitions.
[2024-10-23 22:09:56,780 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 50
[2024-10-23 22:09:56,781 INFO  L207           NwaCegarLoop]: Found error trace
[2024-10-23 22:09:56,781 INFO  L215           NwaCegarLoop]: trace histogram [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[2024-10-23 22:09:56,782 WARN  L453      AbstractCegarLoop]: Destroyed unattended storables created during the last iteration: SelfDestructingSolverStorable0
[2024-10-23 22:09:56,782 INFO  L396      AbstractCegarLoop]: === Iteration 2 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2024-10-23 22:09:56,783 INFO  L157       PredicateUnifier]: Initialized classic predicate unifier
[2024-10-23 22:09:56,783 INFO  L85        PathProgramCache]: Analyzing trace with hash -1961596225, now seen corresponding path program 1 times
[2024-10-23 22:09:56,783 INFO  L118   FreeRefinementEngine]: Executing refinement strategy CAMEL
[2024-10-23 22:09:56,783 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleSmtInterpolCraig [1730426506]
[2024-10-23 22:09:56,784 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2024-10-23 22:09:56,784 INFO  L127          SolverBuilder]: Constructing new instance of SMTInterpol with explicit timeout -1 ms and remaining time -1 ms
[2024-10-23 22:09:56,855 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is sat
[2024-10-23 22:09:56,855 INFO  L356             TraceCheck]: Trace is feasible, we will do another trace check, this time with branch encoders.
[2024-10-23 22:09:56,938 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is sat
[2024-10-23 22:09:56,972 INFO  L130   FreeRefinementEngine]: Strategy CAMEL found a feasible trace
[2024-10-23 22:09:56,972 INFO  L325         BasicCegarLoop]: Counterexample is feasible
[2024-10-23 22:09:56,974 INFO  L782   garLoopResultBuilder]: Registering result UNSAFE for location ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION (0 of 1 remaining)
[2024-10-23 22:09:56,976 WARN  L453      AbstractCegarLoop]: Destroyed unattended storables created during the last iteration: SelfDestructingSolverStorable1
[2024-10-23 22:09:56,979 INFO  L407         BasicCegarLoop]: Path program histogram: [1, 1]
[2024-10-23 22:09:57,031 INFO  L165   ceAbstractionStarter]: Computing trace abstraction results
[2024-10-23 22:09:57,039 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction CFG 23.10 10:09:57 BoogieIcfgContainer
[2024-10-23 22:09:57,039 INFO  L131        PluginConnector]: ------------------------ END TraceAbstraction----------------------------
[2024-10-23 22:09:57,040 INFO  L112        PluginConnector]: ------------------------Witness Printer----------------------------
[2024-10-23 22:09:57,040 INFO  L270        PluginConnector]: Initializing Witness Printer...
[2024-10-23 22:09:57,040 INFO  L274        PluginConnector]: Witness Printer initialized
[2024-10-23 22:09:57,041 INFO  L184        PluginConnector]: Executing the observer RCFGCatcher from plugin Witness Printer for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 23.10 10:09:56" (3/4) ...
[2024-10-23 22:09:57,043 INFO  L142         WitnessPrinter]: No result that supports witness generation found
[2024-10-23 22:09:57,044 INFO  L131        PluginConnector]: ------------------------ END Witness Printer----------------------------
[2024-10-23 22:09:57,045 INFO  L158              Benchmark]: Toolchain (without parser) took 2156.33ms. Allocated memory is still 186.6MB. Free memory was 119.2MB in the beginning and 120.1MB in the end (delta: -856.9kB). Peak memory consumption was 184.7kB. Max. memory is 16.1GB.
[2024-10-23 22:09:57,045 INFO  L158              Benchmark]: CDTParser took 0.16ms. Allocated memory is still 113.2MB. Free memory is still 74.8MB. There was no memory consumed. Max. memory is 16.1GB.
[2024-10-23 22:09:57,045 INFO  L158              Benchmark]: CACSL2BoogieTranslator took 502.79ms. Allocated memory is still 186.6MB. Free memory was 118.9MB in the beginning and 152.9MB in the end (delta: -34.0MB). Peak memory consumption was 18.9MB. Max. memory is 16.1GB.
[2024-10-23 22:09:57,046 INFO  L158              Benchmark]: Boogie Procedure Inliner took 63.00ms. Allocated memory is still 186.6MB. Free memory was 152.9MB in the beginning and 148.1MB in the end (delta: 4.8MB). Peak memory consumption was 4.2MB. Max. memory is 16.1GB.
[2024-10-23 22:09:57,046 INFO  L158              Benchmark]: Boogie Preprocessor took 114.67ms. Allocated memory is still 186.6MB. Free memory was 148.1MB in the beginning and 143.1MB in the end (delta: 4.9MB). Peak memory consumption was 6.3MB. Max. memory is 16.1GB.
[2024-10-23 22:09:57,047 INFO  L158              Benchmark]: RCFGBuilder took 599.49ms. Allocated memory is still 186.6MB. Free memory was 143.1MB in the beginning and 110.3MB in the end (delta: 32.8MB). Peak memory consumption was 31.5MB. Max. memory is 16.1GB.
[2024-10-23 22:09:57,047 INFO  L158              Benchmark]: TraceAbstraction took 866.40ms. Allocated memory is still 186.6MB. Free memory was 109.6MB in the beginning and 121.1MB in the end (delta: -11.6MB). Peak memory consumption was 77.3MB. Max. memory is 16.1GB.
[2024-10-23 22:09:57,047 INFO  L158              Benchmark]: Witness Printer took 4.01ms. Allocated memory is still 186.6MB. Free memory was 121.1MB in the beginning and 120.1MB in the end (delta: 1.1MB). There was no memory consumed. Max. memory is 16.1GB.
[2024-10-23 22:09:57,050 INFO  L338   ainManager$Toolchain]: #######################  End [Toolchain 1] #######################
 --- Results ---
 * Results from de.uni_freiburg.informatik.ultimate.core:
  - StatisticsResult: Toolchain Benchmarks
    Benchmark results are:
 * CDTParser took 0.16ms. Allocated memory is still 113.2MB. Free memory is still 74.8MB. There was no memory consumed. Max. memory is 16.1GB.
 * CACSL2BoogieTranslator took 502.79ms. Allocated memory is still 186.6MB. Free memory was 118.9MB in the beginning and 152.9MB in the end (delta: -34.0MB). Peak memory consumption was 18.9MB. Max. memory is 16.1GB.
 * Boogie Procedure Inliner took 63.00ms. Allocated memory is still 186.6MB. Free memory was 152.9MB in the beginning and 148.1MB in the end (delta: 4.8MB). Peak memory consumption was 4.2MB. Max. memory is 16.1GB.
 * Boogie Preprocessor took 114.67ms. Allocated memory is still 186.6MB. Free memory was 148.1MB in the beginning and 143.1MB in the end (delta: 4.9MB). Peak memory consumption was 6.3MB. Max. memory is 16.1GB.
 * RCFGBuilder took 599.49ms. Allocated memory is still 186.6MB. Free memory was 143.1MB in the beginning and 110.3MB in the end (delta: 32.8MB). Peak memory consumption was 31.5MB. Max. memory is 16.1GB.
 * TraceAbstraction took 866.40ms. Allocated memory is still 186.6MB. Free memory was 109.6MB in the beginning and 121.1MB in the end (delta: -11.6MB). Peak memory consumption was 77.3MB. Max. memory is 16.1GB.
 * Witness Printer took 4.01ms. Allocated memory is still 186.6MB. Free memory was 121.1MB in the beginning and 120.1MB in the end (delta: 1.1MB). There was no memory consumed. Max. memory is 16.1GB.
 * Results from de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction:
  - StatisticsResult: ErrorAutomatonStatistics
    NumberErrorTraces: 0, NumberStatementsAllTraces: 0, NumberRelevantStatements: 0, 0.0s ErrorAutomatonConstructionTimeTotal, 0.0s FaulLocalizationTime, NumberStatementsFirstTrace: -1, TraceLengthAvg: 0, 0.0s ErrorAutomatonConstructionTimeAvg, 0.0s ErrorAutomatonDifferenceTimeAvg, 0.0s ErrorAutomatonDifferenceTimeTotal, NumberOfNoEnhancement: 0, NumberOfFiniteEnhancement: 0, NumberOfInfiniteEnhancement: 0
  - UnprovableResult [Line: 17]: Unable to prove that a call to reach_error is unreachable
    Unable to prove that a call to reach_error is unreachable
 Reason: overapproximation of to_int at line 121, overapproximation of someUnaryDOUBLEoperation at line 130, overapproximation of someBinaryArithmeticDOUBLEoperation at line 154, overapproximation of someBinaryDOUBLEComparisonOperation at line 156, overapproximation of to_real at line 122. 
Possible FailurePath: 
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L148]                  double a, aa, r;
[L150]                  a = -360
            VAL         [T={4:0}]
[L150]      COND TRUE   a <= 360
[L151]                  aa = __VERIFIER_nondet_double()
[L152]      CALL        assume_abort_if_not(aa >= a / 2. && aa <= (a+1.) / 2.)
[L15]       COND FALSE  !(!cond)
            VAL         [T={4:0}]
[L152]      RET         assume_abort_if_not(aa >= a / 2. && aa <= (a+1.) / 2.)
[L154]      CALL, EXPR  SIN(aa)
            VAL         [T={4:0}, \old(x)=2897]
[L142]      COND FALSE  !(x<0)
            VAL         [T={4:0}, \old(x)=2897, x=2897]
[L143]      CALL, EXPR  SIN_POS(x)
            VAL         [T={4:0}, \old(x)=2897]
[L136]      COND TRUE   x>180
            VAL         [T={4:0}, \old(x)=2897, x=2897]
[L136]      CALL, EXPR  SIN_180(x-360.*(int)((x+180.)/360.))
            VAL         [T={4:0}]
[L130]      COND TRUE   x<0
            VAL         [T={4:0}, \old(x)=2899, x=2899]
[L130]      CALL, EXPR  SIN_0_180(-x)
            VAL         [T={4:0}]
[L117]                  double dx, i_dx, v_inf;
[L118]                  double v_sup;
[L119]                  int i;
[L120]                  dx = 2*x
[L121]                  i = dx
[L122]                  i_dx = i
[L123]      EXPR        T[i]
[L123]                  v_inf = T[i]
[L124]      EXPR        T[i+1]
[L124]                  v_sup = T[i+1]
[L125]                  return v_inf + (dx - i_dx) * (v_sup - v_inf);
[L130]      RET, EXPR   SIN_0_180(-x)
            VAL         [T={4:0}, \old(x)=2899, x=2899]
[L130]                  return -SIN_0_180(-x);
[L136]      RET, EXPR   SIN_180(x-360.*(int)((x+180.)/360.))
            VAL         [T={4:0}, \old(x)=2897, x=2897]
[L136]                  return SIN_180(x-360.*(int)((x+180.)/360.));
[L143]      RET, EXPR   SIN_POS(x)
            VAL         [T={4:0}, \old(x)=2897, x=2897]
[L143]                  return SIN_POS(x);
[L154]      RET, EXPR   SIN(aa)
            VAL         [T={4:0}, aa=2897]
[L154]      CALL, EXPR  SIN(-aa)
            VAL         [T={4:0}]
[L142]      COND FALSE  !(x<0)
            VAL         [T={4:0}, \old(x)=2900, x=2900]
[L143]      CALL, EXPR  SIN_POS(x)
            VAL         [T={4:0}, \old(x)=2900]
[L136]      COND TRUE   x>180
            VAL         [T={4:0}, \old(x)=2900, x=2900]
[L136]      CALL, EXPR  SIN_180(x-360.*(int)((x+180.)/360.))
            VAL         [T={4:0}]
[L130]      COND TRUE   x<0
            VAL         [T={4:0}, \old(x)=2901, x=2901]
[L130]      CALL, EXPR  SIN_0_180(-x)
            VAL         [T={4:0}]
[L117]                  double dx, i_dx, v_inf;
[L118]                  double v_sup;
[L119]                  int i;
[L120]                  dx = 2*x
[L121]                  i = dx
[L122]                  i_dx = i
[L123]      EXPR        T[i]
[L123]                  v_inf = T[i]
[L124]      EXPR        T[i+1]
[L124]                  v_sup = T[i+1]
[L125]                  return v_inf + (dx - i_dx) * (v_sup - v_inf);
[L130]      RET, EXPR   SIN_0_180(-x)
            VAL         [T={4:0}, \old(x)=2901, x=2901]
[L130]                  return -SIN_0_180(-x);
[L136]      RET, EXPR   SIN_180(x-360.*(int)((x+180.)/360.))
            VAL         [T={4:0}, \old(x)=2900, x=2900]
[L136]                  return SIN_180(x-360.*(int)((x+180.)/360.));
[L143]      RET, EXPR   SIN_POS(x)
            VAL         [T={4:0}, \old(x)=2900, x=2900]
[L143]                  return SIN_POS(x);
[L154]      RET, EXPR   SIN(-aa)
            VAL         [T={4:0}, aa=2897]
[L154]                  r = SIN(aa) + SIN(-aa)
[L156]      CALL        __VERIFIER_assert(r >= -0.06 && r <= 0.06)
[L17]       COND TRUE   !(cond)
            VAL         [T={4:0}]
[L17]                   reach_error()
            VAL         [T={4:0}]

  - StatisticsResult: Ultimate Automizer benchmark data
    CFG has 5 procedures, 39 locations, 1 error locations. Started 1 CEGAR loops. OverallTime: 0.7s, OverallIterations: 2, TraceHistogramMax: 2, PathProgramHistogramMax: 1, EmptinessCheckTime: 0.0s, AutomataDifference: 0.1s, DeadEndRemovalTime: 0.0s, HoareAnnotationTime: 0.0s, InitialAbstractionConstructionTime: 0.0s, HoareTripleCheckerStatistics: 0 mSolverCounterUnknown, 0 SdHoareTripleChecker+Valid, 0.0s IncrementalHoareTripleChecker+Time, 0 mSdLazyCounter, 0 mSDsluCounter, 42 SdHoareTripleChecker+Invalid, 0.0s Time, 0 mProtectedAction, 0 SdHoareTripleChecker+Unchecked, 0 IncrementalHoareTripleChecker+Unchecked, 0 mSDsCounter, 0 IncrementalHoareTripleChecker+Valid, 0 mProtectedPredicate, 4 IncrementalHoareTripleChecker+Invalid, 4 SdHoareTripleChecker+Unknown, 0 mSolverCounterNotChecked, 0 mSolverCounterUnsat, 42 mSDtfsCounter, 4 mSolverCounterSat, 0.0s SdHoareTripleChecker+Time, 0 IncrementalHoareTripleChecker+Unknown, PredicateUnifierStatistics: 0 DeclaredPredicates, 18 GetRequests, 18 SyntacticMatches, 0 SemanticMatches, 0 ConstructedPredicates, 0 IntricatePredicates, 0 DeprecatedPredicates, 0 ImplicationChecksByTransitivity, 0.0s Time, 0.0s BasicInterpolantAutomatonTime, BiggestAbstraction: size=39occurred in iteration=0, InterpolantAutomatonStates: 2, traceCheckStatistics: No data available, InterpolantConsolidationStatistics: No data available, PathInvariantsStatistics: No data available, 0/0 InterpolantCoveringCapability, TotalInterpolationStatistics: No data available, 0.0s DumpTime, AutomataMinimizationStatistics: 0.0s AutomataMinimizationTime, 1 MinimizatonAttempts, 0 StatesRemovedByMinimization, 0 NontrivialMinimizations, HoareAnnotationStatistics: No data available, RefinementEngineStatistics: TRACE_CHECK: 0.0s SsaConstructionTime, 0.1s SatisfiabilityAnalysisTime, 0.2s InterpolantComputationTime, 98 NumberOfCodeBlocks, 98 NumberOfCodeBlocksAsserted, 2 NumberOfCheckSat, 48 ConstructedInterpolants, 0 QuantifiedInterpolants, 48 SizeOfPredicates, 0 NumberOfNonLiveVariables, 0 ConjunctsInSsa, 0 ConjunctsInUnsatCore, 1 InterpolantComputations, 1 PerfectInterpolantSequences, 20/20 InterpolantCoveringCapability, INVARIANT_SYNTHESIS: No data available, INTERPOLANT_CONSOLIDATION: No data available, ABSTRACT_INTERPRETATION: No data available, PDR: No data available, ACCELERATED_INTERPOLATION: No data available, SIFA: No data available, ReuseStatistics: No data available
RESULT: Ultimate could not prove your program: unable to determine feasibility of some traces
[2024-10-23 22:09:57,505 INFO  L552       MonitoredProcess]: [MP /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (1)] Ended with exit code 0
Received shutdown request...
--- End real Ultimate output ---

Execution finished normally
Using bit-precise analysis
Retrying with bit-precise analysis

### Bit-precise run ###
Calling Ultimate with: /root/.sdkman/candidates/java/current/bin/java -Dosgi.configuration.area=/storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/config -Xmx15G -Xms4m -jar /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/plugins/org.eclipse.equinox.launcher_1.5.800.v20200727-1323.jar -data @noDefault -ultimatedata /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data -tc /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/config/AutomizerReach.xml -i /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c -s /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/config/svcomp-Reach-32bit-Automizer_Bitvector.epf --cacsl2boogietranslator.entry.function main --witnessprinter.witness.directory /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux --witnessprinter.witness.filename witness --witnessprinter.write.witness.besides.input.file false --witnessprinter.graph.data.specification CHECK( init(main()), LTL(G ! call(reach_error())) )

 --witnessprinter.graph.data.producer Automizer --witnessprinter.graph.data.architecture 32bit --witnessprinter.graph.data.programhash 9fc903c4e042f1a917ff23806dc398a0ae6250449674c68af7855fc8b73da478
--- Real Ultimate output ---
This is Ultimate 0.2.5-dev-4a390ef-m
[2024-10-23 22:09:59,581 INFO  L188        SettingsManager]: Resetting all preferences to default values...
[2024-10-23 22:09:59,668 INFO  L114        SettingsManager]: Loading settings from /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/config/svcomp-Reach-32bit-Automizer_Bitvector.epf
[2024-10-23 22:09:59,674 WARN  L101        SettingsManager]: Preference file contains the following unknown settings:
[2024-10-23 22:09:59,674 WARN  L103        SettingsManager]:   * de.uni_freiburg.informatik.ultimate.core.Log level for class
[2024-10-23 22:09:59,707 INFO  L130        SettingsManager]: Preferences different from defaults after loading the file:
[2024-10-23 22:09:59,709 INFO  L151        SettingsManager]: Preferences of UltimateCore differ from their defaults:
[2024-10-23 22:09:59,709 INFO  L153        SettingsManager]:  * Log level for class=de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher=ERROR;
[2024-10-23 22:09:59,710 INFO  L151        SettingsManager]: Preferences of Boogie Preprocessor differ from their defaults:
[2024-10-23 22:09:59,711 INFO  L153        SettingsManager]:  * Use memory slicer=true
[2024-10-23 22:09:59,712 INFO  L151        SettingsManager]: Preferences of Boogie Procedure Inliner differ from their defaults:
[2024-10-23 22:09:59,712 INFO  L153        SettingsManager]:  * Ignore calls to procedures called more than once=ONLY_FOR_SEQUENTIAL_PROGRAMS
[2024-10-23 22:09:59,713 INFO  L151        SettingsManager]: Preferences of BlockEncodingV2 differ from their defaults:
[2024-10-23 22:09:59,713 INFO  L153        SettingsManager]:  * Create parallel compositions if possible=false
[2024-10-23 22:09:59,713 INFO  L153        SettingsManager]:  * Use SBE=true
[2024-10-23 22:09:59,717 INFO  L151        SettingsManager]: Preferences of CACSL2BoogieTranslator differ from their defaults:
[2024-10-23 22:09:59,717 INFO  L153        SettingsManager]:  * Pointer base address is valid at dereference=IGNORE
[2024-10-23 22:09:59,717 INFO  L153        SettingsManager]:  * sizeof long=4
[2024-10-23 22:09:59,718 INFO  L153        SettingsManager]:  * sizeof POINTER=4
[2024-10-23 22:09:59,718 INFO  L153        SettingsManager]:  * Check division by zero=IGNORE
[2024-10-23 22:09:59,718 INFO  L153        SettingsManager]:  * Pointer to allocated memory at dereference=IGNORE
[2024-10-23 22:09:59,719 INFO  L153        SettingsManager]:  * If two pointers are subtracted or compared they have the same base address=IGNORE
[2024-10-23 22:09:59,719 INFO  L153        SettingsManager]:  * Check array bounds for arrays that are off heap=IGNORE
[2024-10-23 22:09:59,722 INFO  L153        SettingsManager]:  * Adapt memory model on pointer casts if necessary=true
[2024-10-23 22:09:59,722 INFO  L153        SettingsManager]:  * Use bitvectors instead of ints=true
[2024-10-23 22:09:59,723 INFO  L153        SettingsManager]:  * Allow undefined functions=false
[2024-10-23 22:09:59,723 INFO  L153        SettingsManager]:  * Memory model=HoenickeLindenmann_4ByteResolution
[2024-10-23 22:09:59,723 INFO  L153        SettingsManager]:  * sizeof long double=12
[2024-10-23 22:09:59,724 INFO  L153        SettingsManager]:  * Check if freed pointer was valid=false
[2024-10-23 22:09:59,724 INFO  L153        SettingsManager]:  * Use constant arrays=true
[2024-10-23 22:09:59,724 INFO  L151        SettingsManager]: Preferences of RCFGBuilder differ from their defaults:
[2024-10-23 22:09:59,725 INFO  L153        SettingsManager]:  * Size of a code block=SequenceOfStatements
[2024-10-23 22:09:59,725 INFO  L153        SettingsManager]:  * Only consider context switches at boundaries of atomic blocks=true
[2024-10-23 22:09:59,725 INFO  L153        SettingsManager]:  * SMT solver=External_DefaultMode
[2024-10-23 22:09:59,725 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2024-10-23 22:09:59,726 INFO  L151        SettingsManager]: Preferences of TraceAbstraction differ from their defaults:
[2024-10-23 22:09:59,726 INFO  L153        SettingsManager]:  * Compute Interpolants along a Counterexample=FPandBP
[2024-10-23 22:09:59,726 INFO  L153        SettingsManager]:  * Positions where we compute the Hoare Annotation=LoopHeads
[2024-10-23 22:09:59,726 INFO  L153        SettingsManager]:  * Trace refinement strategy=WOLF
[2024-10-23 22:09:59,727 INFO  L153        SettingsManager]:  * Command for external solver=cvc4 --incremental --print-success --lang smt
[2024-10-23 22:09:59,727 INFO  L153        SettingsManager]:  * Apply one-shot large block encoding in concurrent analysis=false
[2024-10-23 22:09:59,728 INFO  L153        SettingsManager]:  * Automaton type used in concurrency analysis=PETRI_NET
[2024-10-23 22:09:59,728 INFO  L153        SettingsManager]:  * Order on configurations for Petri net unfoldings=DBO
[2024-10-23 22:09:59,729 INFO  L153        SettingsManager]:  * SMT solver=External_ModelsAndUnsatCoreMode
[2024-10-23 22:09:59,729 INFO  L153        SettingsManager]:  * Logic for external solver=AUFBV
[2024-10-23 22:09:59,729 INFO  L153        SettingsManager]:  * Looper check in Petri net analysis=SEMANTIC
WARNING: An illegal reflective access operation has occurred
WARNING: Illegal reflective access by com.sun.xml.bind.v2.runtime.reflect.opt.Injector$1 (file:/storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/plugins/com.sun.xml.bind_2.2.0.v201505121915.jar) to method java.lang.ClassLoader.defineClass(java.lang.String,byte[],int,int)
WARNING: Please consider reporting this to the maintainers of com.sun.xml.bind.v2.runtime.reflect.opt.Injector$1
WARNING: Use --illegal-access=warn to enable warnings of further illegal reflective access operations
WARNING: All illegal access operations will be denied in a future release
Applying setting for plugin de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator: Entry function -> main
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Witness directory -> /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Witness filename -> witness
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Write witness besides input file -> false
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Graph data specification -> CHECK( init(main()), LTL(G ! call(reach_error())) )


Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Graph data producer -> Automizer
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Graph data architecture -> 32bit
Applying setting for plugin de.uni_freiburg.informatik.ultimate.witnessprinter: Graph data programhash -> 9fc903c4e042f1a917ff23806dc398a0ae6250449674c68af7855fc8b73da478
[2024-10-23 22:10:00,048 INFO  L75    nceAwareModelManager]: Repository-Root is: /tmp
[2024-10-23 22:10:00,072 INFO  L261   ainManager$Toolchain]: [Toolchain 1]: Applicable parser(s) successfully (re)initialized
[2024-10-23 22:10:00,075 INFO  L217   ainManager$Toolchain]: [Toolchain 1]: Toolchain selected.
[2024-10-23 22:10:00,076 INFO  L270        PluginConnector]: Initializing CDTParser...
[2024-10-23 22:10:00,077 INFO  L274        PluginConnector]: CDTParser initialized
[2024-10-23 22:10:00,079 INFO  L431   ainManager$Toolchain]: [Toolchain 1]: Parsing single file: /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c
[2024-10-23 22:10:01,631 INFO  L533              CDTParser]: Created temporary CDT project at NULL
[2024-10-23 22:10:01,858 INFO  L384              CDTParser]: Found 1 translation units.
[2024-10-23 22:10:01,858 INFO  L180              CDTParser]: Scanning /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c
[2024-10-23 22:10:01,866 INFO  L427              CDTParser]: About to delete temporary CDT project at /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/0c51df0c9/835d7f9e51e0470ca2b5b7df2fccc8b5/FLAG67c2cb532
[2024-10-23 22:10:02,214 INFO  L435              CDTParser]: Successfully deleted /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/0c51df0c9/835d7f9e51e0470ca2b5b7df2fccc8b5
[2024-10-23 22:10:02,216 INFO  L299   ainManager$Toolchain]: ####################### [Toolchain 1] #######################
[2024-10-23 22:10:02,217 INFO  L133        ToolchainWalker]: Walking toolchain with 6 elements.
[2024-10-23 22:10:02,218 INFO  L112        PluginConnector]: ------------------------CACSL2BoogieTranslator----------------------------
[2024-10-23 22:10:02,219 INFO  L270        PluginConnector]: Initializing CACSL2BoogieTranslator...
[2024-10-23 22:10:02,223 INFO  L274        PluginConnector]: CACSL2BoogieTranslator initialized
[2024-10-23 22:10:02,224 INFO  L184        PluginConnector]: Executing the observer ACSLObjectContainerObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,225 INFO  L204        PluginConnector]: Invalid model from CACSL2BoogieTranslator for observer de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator.ACSLObjectContainerObserver@242ded62 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02, skipping insertion in model container
[2024-10-23 22:10:02,225 INFO  L184        PluginConnector]: Executing the observer CACSL2BoogieTranslatorObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,246 INFO  L175         MainTranslator]: Built tables and reachable declarations
[2024-10-23 22:10:02,433 WARN  L248   ndardFunctionHandler]: Function reach_error is already implemented but we override the implementation for the call at /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c[684,697]
[2024-10-23 22:10:02,497 INFO  L210          PostProcessor]: Analyzing one entry point: main
[2024-10-23 22:10:02,578 INFO  L200         MainTranslator]: Completed pre-run
[2024-10-23 22:10:02,591 WARN  L248   ndardFunctionHandler]: Function reach_error is already implemented but we override the implementation for the call at /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_negation.c[684,697]
[2024-10-23 22:10:02,617 INFO  L210          PostProcessor]: Analyzing one entry point: main
[2024-10-23 22:10:02,750 INFO  L204         MainTranslator]: Completed translation
[2024-10-23 22:10:02,750 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02 WrapperNode
[2024-10-23 22:10:02,750 INFO  L131        PluginConnector]: ------------------------ END CACSL2BoogieTranslator----------------------------
[2024-10-23 22:10:02,752 INFO  L112        PluginConnector]: ------------------------Boogie Procedure Inliner----------------------------
[2024-10-23 22:10:02,752 INFO  L270        PluginConnector]: Initializing Boogie Procedure Inliner...
[2024-10-23 22:10:02,752 INFO  L274        PluginConnector]: Boogie Procedure Inliner initialized
[2024-10-23 22:10:02,760 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,792 INFO  L184        PluginConnector]: Executing the observer Inliner from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,857 INFO  L138                Inliner]: procedures = 22, calls = 382, calls flagged for inlining = 4, calls inlined = 4, statements flattened = 406
[2024-10-23 22:10:02,857 INFO  L131        PluginConnector]: ------------------------ END Boogie Procedure Inliner----------------------------
[2024-10-23 22:10:02,858 INFO  L112        PluginConnector]: ------------------------Boogie Preprocessor----------------------------
[2024-10-23 22:10:02,858 INFO  L270        PluginConnector]: Initializing Boogie Preprocessor...
[2024-10-23 22:10:02,858 INFO  L274        PluginConnector]: Boogie Preprocessor initialized
[2024-10-23 22:10:02,868 INFO  L184        PluginConnector]: Executing the observer EnsureBoogieModelObserver from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,869 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,881 INFO  L184        PluginConnector]: Executing the observer MemorySlicer from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,917 INFO  L175           MemorySlicer]: Split 366 memory accesses to 2 slices as follows [2, 364]. 99 percent of accesses are in the largest equivalence class. The 364 initializations are split as follows [2, 362]. The 0 writes are split as follows [0, 0].
[2024-10-23 22:10:02,918 INFO  L184        PluginConnector]: Executing the observer ConstExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,918 INFO  L184        PluginConnector]: Executing the observer StructExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,953 INFO  L184        PluginConnector]: Executing the observer UnstructureCode from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,960 INFO  L184        PluginConnector]: Executing the observer FunctionInliner from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,963 INFO  L184        PluginConnector]: Executing the observer LTLStepAnnotator from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,970 INFO  L184        PluginConnector]: Executing the observer BoogieSymbolTableConstructor from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,982 INFO  L131        PluginConnector]: ------------------------ END Boogie Preprocessor----------------------------
[2024-10-23 22:10:02,987 INFO  L112        PluginConnector]: ------------------------RCFGBuilder----------------------------
[2024-10-23 22:10:02,987 INFO  L270        PluginConnector]: Initializing RCFGBuilder...
[2024-10-23 22:10:02,987 INFO  L274        PluginConnector]: RCFGBuilder initialized
[2024-10-23 22:10:02,988 INFO  L184        PluginConnector]: Executing the observer RCFGBuilderObserver from plugin RCFGBuilder for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (1/1) ...
[2024-10-23 22:10:02,997 INFO  L173          SolverBuilder]: Constructing external solver with command: z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2024-10-23 22:10:03,015 INFO  L189       MonitoredProcess]: No working directory specified, using /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3
[2024-10-23 22:10:03,035 INFO  L229       MonitoredProcess]: Starting monitored process 1 with /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (exit command is (exit), workingDir is null)
[2024-10-23 22:10:03,042 INFO  L327       MonitoredProcess]: [MP /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (1)] Waiting until timeout for monitored process
[2024-10-23 22:10:03,082 INFO  L130     BoogieDeclarations]: Found specification of procedure #Ultimate.allocInit
[2024-10-23 22:10:03,082 INFO  L130     BoogieDeclarations]: Found specification of procedure read~intFLOATTYPE8#0
[2024-10-23 22:10:03,082 INFO  L130     BoogieDeclarations]: Found specification of procedure read~intFLOATTYPE8#1
[2024-10-23 22:10:03,082 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_POS
[2024-10-23 22:10:03,082 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_POS
[2024-10-23 22:10:03,082 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intINTTYPE1#0
[2024-10-23 22:10:03,082 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intINTTYPE1#1
[2024-10-23 22:10:03,082 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_0_180
[2024-10-23 22:10:03,082 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_0_180
[2024-10-23 22:10:03,083 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_180
[2024-10-23 22:10:03,083 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_180
[2024-10-23 22:10:03,083 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intFLOATTYPE8#0
[2024-10-23 22:10:03,083 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intFLOATTYPE8#1
[2024-10-23 22:10:03,083 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN
[2024-10-23 22:10:03,083 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN
[2024-10-23 22:10:03,083 INFO  L130     BoogieDeclarations]: Found specification of procedure ULTIMATE.start
[2024-10-23 22:10:03,083 INFO  L138     BoogieDeclarations]: Found implementation of procedure ULTIMATE.start
[2024-10-23 22:10:03,164 INFO  L238             CfgBuilder]: Building ICFG
[2024-10-23 22:10:03,166 INFO  L264             CfgBuilder]: Building CFG for each procedure with an implementation
[2024-10-23 22:10:10,830 INFO  L?                        ?]: Removed 15 outVars from TransFormulas that were not future-live.
[2024-10-23 22:10:10,831 INFO  L287             CfgBuilder]: Performing block encoding
[2024-10-23 22:10:11,148 INFO  L309             CfgBuilder]: Using the 1 location(s) as analysis (start of procedure ULTIMATE.start)
[2024-10-23 22:10:11,149 INFO  L314             CfgBuilder]: Removed 1 assume(true) statements.
[2024-10-23 22:10:11,150 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 23.10 10:10:11 BoogieIcfgContainer
[2024-10-23 22:10:11,150 INFO  L131        PluginConnector]: ------------------------ END RCFGBuilder----------------------------
[2024-10-23 22:10:11,152 INFO  L112        PluginConnector]: ------------------------TraceAbstraction----------------------------
[2024-10-23 22:10:11,154 INFO  L270        PluginConnector]: Initializing TraceAbstraction...
[2024-10-23 22:10:11,157 INFO  L274        PluginConnector]: TraceAbstraction initialized
[2024-10-23 22:10:11,158 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "CDTParser AST 23.10 10:10:02" (1/3) ...
[2024-10-23 22:10:11,159 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@357859e4 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 23.10 10:10:11, skipping insertion in model container
[2024-10-23 22:10:11,159 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 23.10 10:10:02" (2/3) ...
[2024-10-23 22:10:11,159 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@357859e4 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 23.10 10:10:11, skipping insertion in model container
[2024-10-23 22:10:11,161 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 23.10 10:10:11" (3/3) ...
[2024-10-23 22:10:11,162 INFO  L112   eAbstractionObserver]: Analyzing ICFG sin_interpolated_negation.c
[2024-10-23 22:10:11,181 INFO  L209   ceAbstractionStarter]: Automizer settings: Hoare:LoopHeads NWA Interpolation:FPandBP Determinization: PREDICATE_ABSTRACTION
[2024-10-23 22:10:11,181 INFO  L149   ceAbstractionStarter]: Applying trace abstraction to program that has 1 error locations.
[2024-10-23 22:10:11,256 INFO  L332      AbstractCegarLoop]: ======== Iteration 0 == of CEGAR loop == AllErrorsAtOnce ========
[2024-10-23 22:10:11,264 INFO  L333      AbstractCegarLoop]: Settings: SEPARATE_VIOLATION_CHECK=true, mInterprocedural=true, mMaxIterations=1000000, mWatchIteration=1000000, mArtifact=RCFG, mInterpolation=FPandBP, mInterpolantAutomaton=STRAIGHT_LINE, mDumpAutomata=false, mAutomataFormat=ATS_NUMERATE, mDumpPath=., mDeterminiation=PREDICATE_ABSTRACTION, mMinimize=MINIMIZE_SEVPA, mAutomataTypeConcurrency=PETRI_NET, mHoareTripleChecks=INCREMENTAL, mHoareAnnotationPositions=LoopHeads, mDumpOnlyReuseAutomata=false, mLimitTraceHistogram=0, mErrorLocTimeLimit=0, mLimitPathProgramCount=0, mCollectInterpolantStatistics=true, mHeuristicEmptinessCheck=false, mHeuristicEmptinessCheckAStarHeuristic=ZERO, mHeuristicEmptinessCheckAStarHeuristicRandomSeed=1337, mHeuristicEmptinessCheckSmtFeatureScoringMethod=DAGSIZE, mSMTFeatureExtraction=false, mSMTFeatureExtractionDumpPath=., mOverrideInterpolantAutomaton=false, mMcrInterpolantMethod=WP, mPorIndependenceSettings=[Lde.uni_freiburg.informatik.ultimate.lib.tracecheckerutils.partialorder.independence.IndependenceSettings;@6a966610, mLbeIndependenceSettings=[IndependenceType=SEMANTIC, AbstractionType=NONE, UseConditional=false, UseSemiCommutativity=true, Solver=Z3, SolverTimeout=1000ms]
[2024-10-23 22:10:11,264 INFO  L334      AbstractCegarLoop]: Starting to check reachability of 1 error locations.
[2024-10-23 22:10:11,269 INFO  L276                IsEmpty]: Start isEmpty. Operand  has 39 states, 25 states have (on average 1.32) internal successors, (33), 26 states have internal predecessors, (33), 8 states have call successors, (8), 4 states have call predecessors, (8), 4 states have return successors, (8), 8 states have call predecessors, (8), 8 states have call successors, (8)
[2024-10-23 22:10:11,281 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 50
[2024-10-23 22:10:11,282 INFO  L207           NwaCegarLoop]: Found error trace
[2024-10-23 22:10:11,282 INFO  L215           NwaCegarLoop]: trace histogram [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[2024-10-23 22:10:11,283 INFO  L396      AbstractCegarLoop]: === Iteration 1 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2024-10-23 22:10:11,288 INFO  L157       PredicateUnifier]: Initialized classic predicate unifier
[2024-10-23 22:10:11,288 INFO  L85        PathProgramCache]: Analyzing trace with hash -86602883, now seen corresponding path program 1 times
[2024-10-23 22:10:11,305 INFO  L118   FreeRefinementEngine]: Executing refinement strategy WOLF
[2024-10-23 22:10:11,305 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleMathsat [63543292]
[2024-10-23 22:10:11,306 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2024-10-23 22:10:11,306 INFO  L173          SolverBuilder]: Constructing external solver with command: mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3
[2024-10-23 22:10:11,306 INFO  L189       MonitoredProcess]: No working directory specified, using /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat
[2024-10-23 22:10:11,309 INFO  L229       MonitoredProcess]: Starting monitored process 2 with /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3 (exit command is (exit), workingDir is null)
[2024-10-23 22:10:11,311 INFO  L327       MonitoredProcess]: [MP /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3 (2)] Waiting until timeout for monitored process
[2024-10-23 22:10:14,168 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:10:14,331 INFO  L255         TraceCheckSpWp]: Trace formula consists of 1172 conjuncts, 1 conjuncts are in the unsatisfiable core
[2024-10-23 22:10:14,336 INFO  L278         TraceCheckSpWp]: Computing forward predicates...
[2024-10-23 22:10:14,357 INFO  L134       CoverageAnalysis]: Checked inductivity of 20 backedges. 0 proven. 0 refuted. 0 times theorem prover too weak. 20 trivial. 0 not checked.
[2024-10-23 22:10:14,357 INFO  L307         TraceCheckSpWp]: Omiting computation of backward sequence because forward sequence was already perfect
[2024-10-23 22:10:14,358 INFO  L136   FreeRefinementEngine]: Strategy WOLF found an infeasible trace
[2024-10-23 22:10:14,358 INFO  L334   FreeRefinementEngine]: Using interpolant generator IpTcStrategyModuleMathsat [63543292]
[2024-10-23 22:10:14,359 INFO  L158   FreeRefinementEngine]: IpTcStrategyModuleMathsat [63543292] provided 1 perfect and 0 imperfect interpolant sequences
[2024-10-23 22:10:14,359 INFO  L185   FreeRefinementEngine]: Found 1 perfect and 0 imperfect interpolant sequences.
[2024-10-23 22:10:14,359 INFO  L198   FreeRefinementEngine]: Number of different interpolants: perfect sequences [2] imperfect sequences [] total 2
[2024-10-23 22:10:14,360 INFO  L121   tionRefinementEngine]: Using interpolant automaton builder IpAbStrategyModuleStraightlineAll [16626987]
[2024-10-23 22:10:14,361 INFO  L85    oduleStraightlineAll]: Using 1 perfect interpolants to construct interpolant automaton
[2024-10-23 22:10:14,365 INFO  L548      AbstractCegarLoop]: INTERPOLANT automaton has 2 states
[2024-10-23 22:10:14,365 INFO  L100   FreeRefinementEngine]: Using predicate unifier PredicateUnifier provided by strategy WOLF
[2024-10-23 22:10:14,386 INFO  L143   InterpolantAutomaton]: Constructing interpolant automaton starting with 2 interpolants.
[2024-10-23 22:10:14,386 INFO  L145   InterpolantAutomaton]: CoverageRelationStatistics Valid=1, Invalid=1, Unknown=0, NotChecked=0, Total=2
[2024-10-23 22:10:14,388 INFO  L87              Difference]: Start difference. First operand  has 39 states, 25 states have (on average 1.32) internal successors, (33), 26 states have internal predecessors, (33), 8 states have call successors, (8), 4 states have call predecessors, (8), 4 states have return successors, (8), 8 states have call predecessors, (8), 8 states have call successors, (8) Second operand  has 2 states, 2 states have (on average 10.0) internal successors, (20), 2 states have internal predecessors, (20), 1 states have call successors, (5), 1 states have call predecessors, (5), 1 states have return successors, (5), 1 states have call predecessors, (5), 1 states have call successors, (5)
[2024-10-23 22:10:18,863 WARN  L539   Checker$ProtectedHtc]: IncrementalHoareTripleChecker took 4.22s for a HTC check with result UNKNOWN. Formula has sorts [Array, Bool, FloatingPoint, RoundingMode, BitVec], hasArrays=true, hasNonlinArith=false, quantifiers []
[2024-10-23 22:10:19,007 INFO  L144             Difference]: Subtrahend was deterministic. Have not used determinization.
[2024-10-23 22:10:19,007 INFO  L93              Difference]: Finished difference Result 77 states and 97 transitions.
[2024-10-23 22:10:19,014 INFO  L141   InterpolantAutomaton]: Switched to read-only mode: deterministic interpolant automaton has 2 states. 
[2024-10-23 22:10:19,015 INFO  L78                 Accepts]: Start accepts. Automaton has  has 2 states, 2 states have (on average 10.0) internal successors, (20), 2 states have internal predecessors, (20), 1 states have call successors, (5), 1 states have call predecessors, (5), 1 states have return successors, (5), 1 states have call predecessors, (5), 1 states have call successors, (5) Word has length 49
[2024-10-23 22:10:19,015 INFO  L84                 Accepts]: Finished accepts. some prefix is accepted.
[2024-10-23 22:10:19,020 INFO  L225             Difference]: With dead ends: 77
[2024-10-23 22:10:19,021 INFO  L226             Difference]: Without dead ends: 37
[2024-10-23 22:10:19,022 INFO  L431           NwaCegarLoop]: 0 DeclaredPredicates, 48 GetRequests, 48 SyntacticMatches, 0 SemanticMatches, 0 ConstructedPredicates, 0 IntricatePredicates, 0 DeprecatedPredicates, 0 ImplicationChecksByTransitivity, 0.0s TimeCoverageRelationStatistics Valid=1, Invalid=1, Unknown=0, NotChecked=0, Total=2
[2024-10-23 22:10:19,025 INFO  L432           NwaCegarLoop]: 42 mSDtfsCounter, 0 mSDsluCounter, 0 mSDsCounter, 0 mSdLazyCounter, 3 mSolverCounterSat, 0 mSolverCounterUnsat, 1 mSolverCounterUnknown, 0 mSolverCounterNotChecked, 4.5s Time, 0 mProtectedPredicate, 0 mProtectedAction, 0 SdHoareTripleChecker+Valid, 42 SdHoareTripleChecker+Invalid, 4 SdHoareTripleChecker+Unknown, 0 SdHoareTripleChecker+Unchecked, 0.0s SdHoareTripleChecker+Time, 0 IncrementalHoareTripleChecker+Valid, 3 IncrementalHoareTripleChecker+Invalid, 1 IncrementalHoareTripleChecker+Unknown, 0 IncrementalHoareTripleChecker+Unchecked, 4.6s IncrementalHoareTripleChecker+Time
[2024-10-23 22:10:19,026 INFO  L433           NwaCegarLoop]: SdHoareTripleChecker [0 Valid, 42 Invalid, 4 Unknown, 0 Unchecked, 0.0s Time], IncrementalHoareTripleChecker [0 Valid, 3 Invalid, 1 Unknown, 0 Unchecked, 4.6s Time]
[2024-10-23 22:10:19,038 INFO  L82        GeneralOperation]: Start minimizeSevpa. Operand 37 states.
[2024-10-23 22:10:19,051 INFO  L88        GeneralOperation]: Finished minimizeSevpa. Reduced states from 37 to 37.
[2024-10-23 22:10:19,052 INFO  L82        GeneralOperation]: Start removeUnreachable. Operand  has 37 states, 24 states have (on average 1.1666666666666667) internal successors, (28), 24 states have internal predecessors, (28), 8 states have call successors, (8), 4 states have call predecessors, (8), 4 states have return successors, (8), 8 states have call predecessors, (8), 8 states have call successors, (8)
[2024-10-23 22:10:19,053 INFO  L88        GeneralOperation]: Finished removeUnreachable. Reduced from 37 states to 37 states and 44 transitions.
[2024-10-23 22:10:19,055 INFO  L78                 Accepts]: Start accepts. Automaton has 37 states and 44 transitions. Word has length 49
[2024-10-23 22:10:19,055 INFO  L84                 Accepts]: Finished accepts. word is rejected.
[2024-10-23 22:10:19,055 INFO  L471      AbstractCegarLoop]: Abstraction has 37 states and 44 transitions.
[2024-10-23 22:10:19,055 INFO  L472      AbstractCegarLoop]: INTERPOLANT automaton has  has 2 states, 2 states have (on average 10.0) internal successors, (20), 2 states have internal predecessors, (20), 1 states have call successors, (5), 1 states have call predecessors, (5), 1 states have return successors, (5), 1 states have call predecessors, (5), 1 states have call successors, (5)
[2024-10-23 22:10:19,055 INFO  L276                IsEmpty]: Start isEmpty. Operand 37 states and 44 transitions.
[2024-10-23 22:10:19,057 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 50
[2024-10-23 22:10:19,057 INFO  L207           NwaCegarLoop]: Found error trace
[2024-10-23 22:10:19,058 INFO  L215           NwaCegarLoop]: trace histogram [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[2024-10-23 22:10:19,173 INFO  L552       MonitoredProcess]: [MP /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3 (2)] Ended with exit code 0
[2024-10-23 22:10:19,258 WARN  L453      AbstractCegarLoop]: Destroyed unattended storables created during the last iteration: 2 /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3
[2024-10-23 22:10:19,259 INFO  L396      AbstractCegarLoop]: === Iteration 2 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2024-10-23 22:10:19,259 INFO  L157       PredicateUnifier]: Initialized classic predicate unifier
[2024-10-23 22:10:19,259 INFO  L85        PathProgramCache]: Analyzing trace with hash -1717116803, now seen corresponding path program 1 times
[2024-10-23 22:10:19,261 INFO  L118   FreeRefinementEngine]: Executing refinement strategy WOLF
[2024-10-23 22:10:19,261 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleMathsat [545271221]
[2024-10-23 22:10:19,261 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2024-10-23 22:10:19,261 INFO  L173          SolverBuilder]: Constructing external solver with command: mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3
[2024-10-23 22:10:19,261 INFO  L189       MonitoredProcess]: No working directory specified, using /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat
[2024-10-23 22:10:19,264 INFO  L229       MonitoredProcess]: Starting monitored process 3 with /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3 (exit command is (exit), workingDir is null)
[2024-10-23 22:10:19,264 INFO  L327       MonitoredProcess]: [MP /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3 (3)] Waiting until timeout for monitored process
[2024-10-23 22:10:22,066 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2024-10-23 22:10:22,231 INFO  L255         TraceCheckSpWp]: Trace formula consists of 1172 conjuncts, 11 conjuncts are in the unsatisfiable core
[2024-10-23 22:10:22,236 INFO  L278         TraceCheckSpWp]: Computing forward predicates...
[2024-10-23 22:10:32,488 WARN  L286               SmtUtils]: Spent 7.25s on a formula simplification that was a NOOP. DAG size: 10 (called from [L 728] de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher.simplify)
[2024-10-23 22:10:38,377 WARN  L286               SmtUtils]: Spent 5.89s on a formula simplification that was a NOOP. DAG size: 7 (called from [L 728] de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher.simplify)
[2024-10-23 22:10:42,491 WARN  L851   $PredicateComparison]: unable to prove that (let ((.cse1 ((_ to_fp 11 53) c_currentRoundingMode 1.0)) (.cse0 ((_ to_fp 11 53) c_currentRoundingMode 2.0))) (or (and (= |c_ULTIMATE.start_assume_abort_if_not_~cond#1| (_ bv0 32)) (or (exists ((|ULTIMATE.start_main_~a~0#1| (_ FloatingPoint 11 53))) (not (fp.geq |c_ULTIMATE.start_main_~aa~0#1| (fp.div c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| .cse0)))) (exists ((|ULTIMATE.start_main_~a~0#1| (_ FloatingPoint 11 53))) (not (fp.leq |c_ULTIMATE.start_main_~aa~0#1| (fp.div c_currentRoundingMode (fp.add c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| .cse1) .cse0)))))) (and (exists ((|ULTIMATE.start_main_~a~0#1| (_ FloatingPoint 11 53))) (and (fp.leq |c_ULTIMATE.start_main_~aa~0#1| (fp.div c_currentRoundingMode (fp.add c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| .cse1) .cse0)) (fp.geq |c_ULTIMATE.start_main_~aa~0#1| (fp.div c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| .cse0)))) (= |c_ULTIMATE.start_assume_abort_if_not_~cond#1| (_ bv1 32))))) is different from false
[2024-10-23 22:10:49,144 WARN  L286               SmtUtils]: Spent 6.63s on a formula simplification that was a NOOP. DAG size: 10 (called from [L 728] de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher.simplify)
[2024-10-23 22:10:54,543 WARN  L286               SmtUtils]: Spent 5.40s on a formula simplification that was a NOOP. DAG size: 7 (called from [L 728] de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher.simplify)
[2024-10-23 22:10:58,574 WARN  L851   $PredicateComparison]: unable to prove that (exists ((|ULTIMATE.start_main_~a~0#1| (_ FloatingPoint 11 53))) (let ((.cse0 ((_ to_fp 11 53) c_currentRoundingMode 2.0))) (and (fp.leq |c_ULTIMATE.start_main_~aa~0#1| (fp.div c_currentRoundingMode (fp.add c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| ((_ to_fp 11 53) c_currentRoundingMode 1.0)) .cse0)) (fp.geq |c_ULTIMATE.start_main_~aa~0#1| (fp.div c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| .cse0))))) is different from false
[2024-10-23 22:11:02,633 WARN  L873   $PredicateComparison]: unable to prove that (exists ((|ULTIMATE.start_main_~a~0#1| (_ FloatingPoint 11 53))) (let ((.cse0 ((_ to_fp 11 53) c_currentRoundingMode 2.0))) (and (fp.leq |c_ULTIMATE.start_main_~aa~0#1| (fp.div c_currentRoundingMode (fp.add c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| ((_ to_fp 11 53) c_currentRoundingMode 1.0)) .cse0)) (fp.geq |c_ULTIMATE.start_main_~aa~0#1| (fp.div c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| .cse0))))) is different from true
[2024-10-23 22:11:08,676 WARN  L286               SmtUtils]: Spent 6.04s on a formula simplification that was a NOOP. DAG size: 10 (called from [L 728] de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher.simplify)
[2024-10-23 22:11:20,489 WARN  L286               SmtUtils]: Spent 6.93s on a formula simplification that was a NOOP. DAG size: 10 (called from [L 728] de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher.simplify)
[2024-10-23 22:11:28,257 WARN  L851   $PredicateComparison]: unable to prove that (exists ((|v_ULTIMATE.start_main_~aa~0#1_BEFORE_CALL_1| (_ FloatingPoint 11 53)) (|ULTIMATE.start_main_~a~0#1| (_ FloatingPoint 11 53))) (let ((.cse0 ((_ to_fp 11 53) c_currentRoundingMode 2.0))) (and (fp.geq |v_ULTIMATE.start_main_~aa~0#1_BEFORE_CALL_1| (fp.div c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| .cse0)) (fp.leq |v_ULTIMATE.start_main_~aa~0#1_BEFORE_CALL_1| (fp.div c_currentRoundingMode (fp.add c_currentRoundingMode |ULTIMATE.start_main_~a~0#1| ((_ to_fp 11 53) c_currentRoundingMode 1.0)) .cse0))))) is different from false
[2024-10-23 22:11:30,461 INFO  L134       CoverageAnalysis]: Checked inductivity of 18 backedges. 16 proven. 0 refuted. 0 times theorem prover too weak. 2 trivial. 0 not checked.
[2024-10-23 22:11:30,462 INFO  L307         TraceCheckSpWp]: Omiting computation of backward sequence because forward sequence was already perfect
[2024-10-23 22:11:30,462 INFO  L136   FreeRefinementEngine]: Strategy WOLF found an infeasible trace
[2024-10-23 22:11:30,462 INFO  L334   FreeRefinementEngine]: Using interpolant generator IpTcStrategyModuleMathsat [545271221]
[2024-10-23 22:11:30,462 INFO  L158   FreeRefinementEngine]: IpTcStrategyModuleMathsat [545271221] provided 1 perfect and 0 imperfect interpolant sequences
[2024-10-23 22:11:30,462 INFO  L185   FreeRefinementEngine]: Found 1 perfect and 0 imperfect interpolant sequences.
[2024-10-23 22:11:30,463 INFO  L198   FreeRefinementEngine]: Number of different interpolants: perfect sequences [10] imperfect sequences [] total 10
[2024-10-23 22:11:30,463 INFO  L121   tionRefinementEngine]: Using interpolant automaton builder IpAbStrategyModuleStraightlineAll [519322516]
[2024-10-23 22:11:30,463 INFO  L85    oduleStraightlineAll]: Using 1 perfect interpolants to construct interpolant automaton
[2024-10-23 22:11:30,464 INFO  L548      AbstractCegarLoop]: INTERPOLANT automaton has 10 states
[2024-10-23 22:11:30,464 INFO  L100   FreeRefinementEngine]: Using predicate unifier PredicateUnifier provided by strategy WOLF
[2024-10-23 22:11:30,465 INFO  L143   InterpolantAutomaton]: Constructing interpolant automaton starting with 10 interpolants.
[2024-10-23 22:11:30,466 INFO  L145   InterpolantAutomaton]: CoverageRelationStatistics Valid=18, Invalid=43, Unknown=3, NotChecked=26, Total=90
[2024-10-23 22:11:30,466 INFO  L87              Difference]: Start difference. First operand 37 states and 44 transitions. Second operand  has 10 states, 9 states have (on average 3.5555555555555554) internal successors, (32), 10 states have internal predecessors, (32), 5 states have call successors, (8), 2 states have call predecessors, (8), 4 states have return successors, (8), 3 states have call predecessors, (8), 5 states have call successors, (8)
[2024-10-23 22:11:32,458 WARN  L539   Checker$ProtectedHtc]: IncrementalHoareTripleChecker took 1.69s for a HTC check with result INVALID. Formula has sorts [Bool, FloatingPoint, RoundingMode, Real, BitVec], hasArrays=false, hasNonlinArith=false, quantifiers []