./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_bigrange_loose.c --full-output --architecture 32bit


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


Checking for ERROR reachability
Using default analysis
Version a046e57d
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_bigrange_loose.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 c49991d9d00d9a8f949918eb2f11d96d2e43e5c095ed6a075a1c267b2fbdf3ca
--- Real Ultimate output ---
This is Ultimate 0.2.5-tmp.dk.eval-mul-div-a046e57-m
[2024-10-12 17:06:58,649 INFO  L188        SettingsManager]: Resetting all preferences to default values...
[2024-10-12 17:06:58,697 INFO  L114        SettingsManager]: Loading settings from /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/config/svcomp-Reach-32bit-Automizer_Default.epf
[2024-10-12 17:06:58,700 WARN  L101        SettingsManager]: Preference file contains the following unknown settings:
[2024-10-12 17:06:58,701 WARN  L103        SettingsManager]:   * de.uni_freiburg.informatik.ultimate.core.Log level for class
[2024-10-12 17:06:58,723 INFO  L130        SettingsManager]: Preferences different from defaults after loading the file:
[2024-10-12 17:06:58,724 INFO  L151        SettingsManager]: Preferences of UltimateCore differ from their defaults:
[2024-10-12 17:06:58,725 INFO  L153        SettingsManager]:  * Log level for class=de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher=ERROR;
[2024-10-12 17:06:58,725 INFO  L151        SettingsManager]: Preferences of Boogie Preprocessor differ from their defaults:
[2024-10-12 17:06:58,726 INFO  L153        SettingsManager]:  * Use memory slicer=true
[2024-10-12 17:06:58,726 INFO  L151        SettingsManager]: Preferences of Boogie Procedure Inliner differ from their defaults:
[2024-10-12 17:06:58,726 INFO  L153        SettingsManager]:  * Ignore calls to procedures called more than once=ONLY_FOR_SEQUENTIAL_PROGRAMS
[2024-10-12 17:06:58,727 INFO  L151        SettingsManager]: Preferences of BlockEncodingV2 differ from their defaults:
[2024-10-12 17:06:58,727 INFO  L153        SettingsManager]:  * Create parallel compositions if possible=false
[2024-10-12 17:06:58,729 INFO  L153        SettingsManager]:  * Use SBE=true
[2024-10-12 17:06:58,729 INFO  L151        SettingsManager]: Preferences of CACSL2BoogieTranslator differ from their defaults:
[2024-10-12 17:06:58,729 INFO  L153        SettingsManager]:  * Pointer base address is valid at dereference=IGNORE
[2024-10-12 17:06:58,729 INFO  L153        SettingsManager]:  * sizeof long=4
[2024-10-12 17:06:58,729 INFO  L153        SettingsManager]:  * Overapproximate operations on floating types=true
[2024-10-12 17:06:58,730 INFO  L153        SettingsManager]:  * sizeof POINTER=4
[2024-10-12 17:06:58,730 INFO  L153        SettingsManager]:  * Check division by zero=IGNORE
[2024-10-12 17:06:58,732 INFO  L153        SettingsManager]:  * Pointer to allocated memory at dereference=IGNORE
[2024-10-12 17:06:58,733 INFO  L153        SettingsManager]:  * If two pointers are subtracted or compared they have the same base address=IGNORE
[2024-10-12 17:06:58,733 INFO  L153        SettingsManager]:  * Check array bounds for arrays that are off heap=IGNORE
[2024-10-12 17:06:58,733 INFO  L153        SettingsManager]:  * Allow undefined functions=false
[2024-10-12 17:06:58,733 INFO  L153        SettingsManager]:  * sizeof long double=12
[2024-10-12 17:06:58,733 INFO  L153        SettingsManager]:  * Check if freed pointer was valid=false
[2024-10-12 17:06:58,734 INFO  L153        SettingsManager]:  * Use constant arrays=true
[2024-10-12 17:06:58,734 INFO  L151        SettingsManager]: Preferences of RCFGBuilder differ from their defaults:
[2024-10-12 17:06:58,734 INFO  L153        SettingsManager]:  * Size of a code block=SequenceOfStatements
[2024-10-12 17:06:58,734 INFO  L153        SettingsManager]:  * Only consider context switches at boundaries of atomic blocks=true
[2024-10-12 17:06:58,734 INFO  L153        SettingsManager]:  * SMT solver=External_DefaultMode
[2024-10-12 17:06:58,734 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2024-10-12 17:06:58,735 INFO  L151        SettingsManager]: Preferences of TraceAbstraction differ from their defaults:
[2024-10-12 17:06:58,735 INFO  L153        SettingsManager]:  * Compute Interpolants along a Counterexample=FPandBP
[2024-10-12 17:06:58,735 INFO  L153        SettingsManager]:  * Positions where we compute the Hoare Annotation=LoopHeads
[2024-10-12 17:06:58,735 INFO  L153        SettingsManager]:  * Trace refinement strategy=CAMEL
[2024-10-12 17:06:58,735 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in
[2024-10-12 17:06:58,735 INFO  L153        SettingsManager]:  * Apply one-shot large block encoding in concurrent analysis=false
[2024-10-12 17:06:58,735 INFO  L153        SettingsManager]:  * Automaton type used in concurrency analysis=PETRI_NET
[2024-10-12 17:06:58,736 INFO  L153        SettingsManager]:  * Order on configurations for Petri net unfoldings=DBO
[2024-10-12 17:06:58,736 INFO  L153        SettingsManager]:  * SMT solver=External_ModelsAndUnsatCoreMode
[2024-10-12 17:06:58,736 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 -> c49991d9d00d9a8f949918eb2f11d96d2e43e5c095ed6a075a1c267b2fbdf3ca
[2024-10-12 17:06:58,928 INFO  L75    nceAwareModelManager]: Repository-Root is: /tmp
[2024-10-12 17:06:58,946 INFO  L261   ainManager$Toolchain]: [Toolchain 1]: Applicable parser(s) successfully (re)initialized
[2024-10-12 17:06:58,949 INFO  L217   ainManager$Toolchain]: [Toolchain 1]: Toolchain selected.
[2024-10-12 17:06:58,950 INFO  L270        PluginConnector]: Initializing CDTParser...
[2024-10-12 17:06:58,950 INFO  L274        PluginConnector]: CDTParser initialized
[2024-10-12 17:06:58,951 INFO  L431   ainManager$Toolchain]: [Toolchain 1]: Parsing single file: /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_bigrange_loose.c
[2024-10-12 17:07:00,123 INFO  L533              CDTParser]: Created temporary CDT project at NULL
[2024-10-12 17:07:00,279 INFO  L384              CDTParser]: Found 1 translation units.
[2024-10-12 17:07:00,279 INFO  L180              CDTParser]: Scanning /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_bigrange_loose.c
[2024-10-12 17:07:00,290 INFO  L427              CDTParser]: About to delete temporary CDT project at /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/a033f9d4b/7de2275b7ca5400cbf903a206c14aa98/FLAG29d09f436
[2024-10-12 17:07:00,301 INFO  L435              CDTParser]: Successfully deleted /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/a033f9d4b/7de2275b7ca5400cbf903a206c14aa98
[2024-10-12 17:07:00,303 INFO  L299   ainManager$Toolchain]: ####################### [Toolchain 1] #######################
[2024-10-12 17:07:00,304 INFO  L133        ToolchainWalker]: Walking toolchain with 6 elements.
[2024-10-12 17:07:00,306 INFO  L112        PluginConnector]: ------------------------CACSL2BoogieTranslator----------------------------
[2024-10-12 17:07:00,307 INFO  L270        PluginConnector]: Initializing CACSL2BoogieTranslator...
[2024-10-12 17:07:00,311 INFO  L274        PluginConnector]: CACSL2BoogieTranslator initialized
[2024-10-12 17:07:00,312 INFO  L184        PluginConnector]: Executing the observer ACSLObjectContainerObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,314 INFO  L204        PluginConnector]: Invalid model from CACSL2BoogieTranslator for observer de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator.ACSLObjectContainerObserver@161e1002 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00, skipping insertion in model container
[2024-10-12 17:07:00,314 INFO  L184        PluginConnector]: Executing the observer CACSL2BoogieTranslatorObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,332 INFO  L175         MainTranslator]: Built tables and reachable declarations
[2024-10-12 17:07:00,449 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_bigrange_loose.c[690,703]
[2024-10-12 17:07:00,475 INFO  L210          PostProcessor]: Analyzing one entry point: main
[2024-10-12 17:07:00,509 INFO  L200         MainTranslator]: Completed pre-run
[2024-10-12 17:07:00,545 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_bigrange_loose.c[690,703]
[2024-10-12 17:07:00,560 INFO  L210          PostProcessor]: Analyzing one entry point: main
[2024-10-12 17:07:00,627 INFO  L204         MainTranslator]: Completed translation
[2024-10-12 17:07:00,627 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00 WrapperNode
[2024-10-12 17:07:00,628 INFO  L131        PluginConnector]: ------------------------ END CACSL2BoogieTranslator----------------------------
[2024-10-12 17:07:00,628 INFO  L112        PluginConnector]: ------------------------Boogie Procedure Inliner----------------------------
[2024-10-12 17:07:00,628 INFO  L270        PluginConnector]: Initializing Boogie Procedure Inliner...
[2024-10-12 17:07:00,629 INFO  L274        PluginConnector]: Boogie Procedure Inliner initialized
[2024-10-12 17:07:00,635 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,650 INFO  L184        PluginConnector]: Executing the observer Inliner from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,682 INFO  L138                Inliner]: procedures = 21, calls = 381, calls flagged for inlining = 5, calls inlined = 5, statements flattened = 404
[2024-10-12 17:07:00,683 INFO  L131        PluginConnector]: ------------------------ END Boogie Procedure Inliner----------------------------
[2024-10-12 17:07:00,683 INFO  L112        PluginConnector]: ------------------------Boogie Preprocessor----------------------------
[2024-10-12 17:07:00,683 INFO  L270        PluginConnector]: Initializing Boogie Preprocessor...
[2024-10-12 17:07:00,683 INFO  L274        PluginConnector]: Boogie Preprocessor initialized
[2024-10-12 17:07:00,691 INFO  L184        PluginConnector]: Executing the observer EnsureBoogieModelObserver from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,692 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,696 INFO  L184        PluginConnector]: Executing the observer MemorySlicer from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,714 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].
[2024-10-12 17:07:00,715 INFO  L184        PluginConnector]: Executing the observer ConstExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,715 INFO  L184        PluginConnector]: Executing the observer StructExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,727 INFO  L184        PluginConnector]: Executing the observer UnstructureCode from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,729 INFO  L184        PluginConnector]: Executing the observer FunctionInliner from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,731 INFO  L184        PluginConnector]: Executing the observer LTLStepAnnotator from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,732 INFO  L184        PluginConnector]: Executing the observer BoogieSymbolTableConstructor from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,735 INFO  L131        PluginConnector]: ------------------------ END Boogie Preprocessor----------------------------
[2024-10-12 17:07:00,738 INFO  L112        PluginConnector]: ------------------------RCFGBuilder----------------------------
[2024-10-12 17:07:00,739 INFO  L270        PluginConnector]: Initializing RCFGBuilder...
[2024-10-12 17:07:00,739 INFO  L274        PluginConnector]: RCFGBuilder initialized
[2024-10-12 17:07:00,739 INFO  L184        PluginConnector]: Executing the observer RCFGBuilderObserver from plugin RCFGBuilder for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (1/1) ...
[2024-10-12 17:07:00,750 INFO  L173          SolverBuilder]: Constructing external solver with command: z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2024-10-12 17:07:00,758 INFO  L189       MonitoredProcess]: No working directory specified, using /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3
[2024-10-12 17:07:00,771 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)
[2024-10-12 17:07:00,773 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
[2024-10-12 17:07:00,812 INFO  L130     BoogieDeclarations]: Found specification of procedure #Ultimate.allocInit
[2024-10-12 17:07:00,812 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_POS
[2024-10-12 17:07:00,812 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_POS
[2024-10-12 17:07:00,813 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~int#0
[2024-10-12 17:07:00,813 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~int#1
[2024-10-12 17:07:00,813 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_0_180
[2024-10-12 17:07:00,813 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_0_180
[2024-10-12 17:07:00,814 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_180
[2024-10-12 17:07:00,814 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_180
[2024-10-12 17:07:00,814 INFO  L130     BoogieDeclarations]: Found specification of procedure read~real#0
[2024-10-12 17:07:00,814 INFO  L130     BoogieDeclarations]: Found specification of procedure read~real#1
[2024-10-12 17:07:00,815 INFO  L130     BoogieDeclarations]: Found specification of procedure ULTIMATE.start
[2024-10-12 17:07:00,815 INFO  L138     BoogieDeclarations]: Found implementation of procedure ULTIMATE.start
[2024-10-12 17:07:00,815 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~real#0
[2024-10-12 17:07:00,815 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~real#1
[2024-10-12 17:07:00,887 INFO  L238             CfgBuilder]: Building ICFG
[2024-10-12 17:07:00,889 INFO  L264             CfgBuilder]: Building CFG for each procedure with an implementation
[2024-10-12 17:07:01,173 INFO  L?                        ?]: Removed 17 outVars from TransFormulas that were not future-live.
[2024-10-12 17:07:01,173 INFO  L287             CfgBuilder]: Performing block encoding
[2024-10-12 17:07:01,221 INFO  L309             CfgBuilder]: Using the 1 location(s) as analysis (start of procedure ULTIMATE.start)
[2024-10-12 17:07:01,221 INFO  L314             CfgBuilder]: Removed 0 assume(true) statements.
[2024-10-12 17:07:01,221 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 12.10 05:07:01 BoogieIcfgContainer
[2024-10-12 17:07:01,222 INFO  L131        PluginConnector]: ------------------------ END RCFGBuilder----------------------------
[2024-10-12 17:07:01,224 INFO  L112        PluginConnector]: ------------------------TraceAbstraction----------------------------
[2024-10-12 17:07:01,224 INFO  L270        PluginConnector]: Initializing TraceAbstraction...
[2024-10-12 17:07:01,227 INFO  L274        PluginConnector]: TraceAbstraction initialized
[2024-10-12 17:07:01,227 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "CDTParser AST 12.10 05:07:00" (1/3) ...
[2024-10-12 17:07:01,227 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@1eeaa1d and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 12.10 05:07:01, skipping insertion in model container
[2024-10-12 17:07:01,227 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:00" (2/3) ...
[2024-10-12 17:07:01,227 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@1eeaa1d and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 12.10 05:07:01, skipping insertion in model container
[2024-10-12 17:07:01,228 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 12.10 05:07:01" (3/3) ...
[2024-10-12 17:07:01,228 INFO  L112   eAbstractionObserver]: Analyzing ICFG sin_interpolated_bigrange_loose.c
[2024-10-12 17:07:01,241 INFO  L209   ceAbstractionStarter]: Automizer settings: Hoare:LoopHeads NWA Interpolation:FPandBP Determinization: PREDICATE_ABSTRACTION
[2024-10-12 17:07:01,242 INFO  L149   ceAbstractionStarter]: Applying trace abstraction to program that has 1 error locations.
[2024-10-12 17:07:01,280 INFO  L332      AbstractCegarLoop]: ======== Iteration 0 == of CEGAR loop == AllErrorsAtOnce ========
[2024-10-12 17:07:01,287 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;@67d11ea5, mLbeIndependenceSettings=[IndependenceType=SEMANTIC, AbstractionType=NONE, UseConditional=false, UseSemiCommutativity=true, Solver=Z3, SolverTimeout=1000ms]
[2024-10-12 17:07:01,287 INFO  L334      AbstractCegarLoop]: Starting to check reachability of 1 error locations.
[2024-10-12 17:07:01,295 INFO  L276                IsEmpty]: Start isEmpty. Operand  has 32 states, 21 states have (on average 1.2857142857142858) internal successors, (27), 22 states have internal predecessors, (27), 6 states have call successors, (6), 3 states have call predecessors, (6), 3 states have return successors, (6), 6 states have call predecessors, (6), 6 states have call successors, (6)
[2024-10-12 17:07:01,302 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 24
[2024-10-12 17:07:01,302 INFO  L207           NwaCegarLoop]: Found error trace
[2024-10-12 17:07:01,303 INFO  L215           NwaCegarLoop]: trace histogram [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[2024-10-12 17:07:01,303 INFO  L396      AbstractCegarLoop]: === Iteration 1 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2024-10-12 17:07:01,308 INFO  L157       PredicateUnifier]: Initialized classic predicate unifier
[2024-10-12 17:07:01,308 INFO  L85        PathProgramCache]: Analyzing trace with hash -574403304, now seen corresponding path program 1 times
[2024-10-12 17:07:01,315 INFO  L118   FreeRefinementEngine]: Executing refinement strategy CAMEL
[2024-10-12 17:07:01,315 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleSmtInterpolCraig [1901401769]
[2024-10-12 17:07:01,316 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2024-10-12 17:07:01,316 INFO  L127          SolverBuilder]: Constructing new instance of SMTInterpol with explicit timeout -1 ms and remaining time -1 ms
[2024-10-12 17:07:01,488 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is sat
[2024-10-12 17:07:01,489 INFO  L356             TraceCheck]: Trace is feasible, we will do another trace check, this time with branch encoders.
[2024-10-12 17:07:01,548 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is sat
[2024-10-12 17:07:01,581 INFO  L130   FreeRefinementEngine]: Strategy CAMEL found a feasible trace
[2024-10-12 17:07:01,583 INFO  L325         BasicCegarLoop]: Counterexample is feasible
[2024-10-12 17:07:01,584 INFO  L782   garLoopResultBuilder]: Registering result UNSAFE for location ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION (0 of 1 remaining)
[2024-10-12 17:07:01,585 WARN  L453      AbstractCegarLoop]: Destroyed unattended storables created during the last iteration: SelfDestructingSolverStorable0
[2024-10-12 17:07:01,589 INFO  L407         BasicCegarLoop]: Path program histogram: [1]
[2024-10-12 17:07:01,633 INFO  L165   ceAbstractionStarter]: Computing trace abstraction results
[2024-10-12 17:07:01,638 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction CFG 12.10 05:07:01 BoogieIcfgContainer
[2024-10-12 17:07:01,638 INFO  L131        PluginConnector]: ------------------------ END TraceAbstraction----------------------------
[2024-10-12 17:07:01,640 INFO  L112        PluginConnector]: ------------------------Witness Printer----------------------------
[2024-10-12 17:07:01,640 INFO  L270        PluginConnector]: Initializing Witness Printer...
[2024-10-12 17:07:01,640 INFO  L274        PluginConnector]: Witness Printer initialized
[2024-10-12 17:07:01,641 INFO  L184        PluginConnector]: Executing the observer RCFGCatcher from plugin Witness Printer for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 12.10 05:07:01" (3/4) ...
[2024-10-12 17:07:01,642 INFO  L142         WitnessPrinter]: No result that supports witness generation found
[2024-10-12 17:07:01,643 INFO  L131        PluginConnector]: ------------------------ END Witness Printer----------------------------
[2024-10-12 17:07:01,644 INFO  L158              Benchmark]: Toolchain (without parser) took 1339.73ms. Allocated memory was 159.4MB in the beginning and 241.2MB in the end (delta: 81.8MB). Free memory was 88.9MB in the beginning and 108.3MB in the end (delta: -19.5MB). Peak memory consumption was 64.1MB. Max. memory is 16.1GB.
[2024-10-12 17:07:01,644 INFO  L158              Benchmark]: CDTParser took 0.17ms. Allocated memory is still 159.4MB. Free memory is still 110.9MB. There was no memory consumed. Max. memory is 16.1GB.
[2024-10-12 17:07:01,647 INFO  L158              Benchmark]: CACSL2BoogieTranslator took 321.28ms. Allocated memory was 159.4MB in the beginning and 241.2MB in the end (delta: 81.8MB). Free memory was 88.7MB in the beginning and 208.0MB in the end (delta: -119.3MB). Peak memory consumption was 24.3MB. Max. memory is 16.1GB.
[2024-10-12 17:07:01,648 INFO  L158              Benchmark]: Boogie Procedure Inliner took 54.42ms. Allocated memory is still 241.2MB. Free memory was 208.0MB in the beginning and 203.8MB in the end (delta: 4.2MB). Peak memory consumption was 4.2MB. Max. memory is 16.1GB.
[2024-10-12 17:07:01,649 INFO  L158              Benchmark]: Boogie Preprocessor took 51.64ms. Allocated memory is still 241.2MB. Free memory was 203.8MB in the beginning and 198.5MB in the end (delta: 5.2MB). Peak memory consumption was 4.2MB. Max. memory is 16.1GB.
[2024-10-12 17:07:01,650 INFO  L158              Benchmark]: RCFGBuilder took 483.64ms. Allocated memory is still 241.2MB. Free memory was 198.5MB in the beginning and 165.0MB in the end (delta: 33.6MB). Peak memory consumption was 33.6MB. Max. memory is 16.1GB.
[2024-10-12 17:07:01,650 INFO  L158              Benchmark]: TraceAbstraction took 414.94ms. Allocated memory is still 241.2MB. Free memory was 163.9MB in the beginning and 109.4MB in the end (delta: 54.5MB). Peak memory consumption was 54.5MB. Max. memory is 16.1GB.
[2024-10-12 17:07:01,651 INFO  L158              Benchmark]: Witness Printer took 2.94ms. Allocated memory is still 241.2MB. Free memory was 109.4MB in the beginning and 108.3MB in the end (delta: 1.0MB). There was no memory consumed. Max. memory is 16.1GB.
[2024-10-12 17:07:01,654 INFO  L338   ainManager$Toolchain]: #######################  End [Toolchain 1] #######################
 --- Results ---
 * Results from de.uni_freiburg.informatik.ultimate.core:
  - StatisticsResult: Toolchain Benchmarks
    Benchmark results are:
 * CDTParser took 0.17ms. Allocated memory is still 159.4MB. Free memory is still 110.9MB. There was no memory consumed. Max. memory is 16.1GB.
 * CACSL2BoogieTranslator took 321.28ms. Allocated memory was 159.4MB in the beginning and 241.2MB in the end (delta: 81.8MB). Free memory was 88.7MB in the beginning and 208.0MB in the end (delta: -119.3MB). Peak memory consumption was 24.3MB. Max. memory is 16.1GB.
 * Boogie Procedure Inliner took 54.42ms. Allocated memory is still 241.2MB. Free memory was 208.0MB in the beginning and 203.8MB in the end (delta: 4.2MB). Peak memory consumption was 4.2MB. Max. memory is 16.1GB.
 * Boogie Preprocessor took 51.64ms. Allocated memory is still 241.2MB. Free memory was 203.8MB in the beginning and 198.5MB in the end (delta: 5.2MB). Peak memory consumption was 4.2MB. Max. memory is 16.1GB.
 * RCFGBuilder took 483.64ms. Allocated memory is still 241.2MB. Free memory was 198.5MB in the beginning and 165.0MB in the end (delta: 33.6MB). Peak memory consumption was 33.6MB. Max. memory is 16.1GB.
 * TraceAbstraction took 414.94ms. Allocated memory is still 241.2MB. Free memory was 163.9MB in the beginning and 109.4MB in the end (delta: 54.5MB). Peak memory consumption was 54.5MB. Max. memory is 16.1GB.
 * Witness Printer took 2.94ms. Allocated memory is still 241.2MB. Free memory was 109.4MB in the beginning and 108.3MB in the end (delta: 1.0MB). 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 120, overapproximation of someBinaryDOUBLEComparisonOperation at line 155, 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,
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  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -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, r;
[L150]                  a = __VERIFIER_nondet_double()
[L151]      CALL        assume_abort_if_not(a >= -1e10 && a <= 1e10)
[L15]       COND FALSE  !(!cond)
            VAL         [T={4:0}]
[L151]      RET         assume_abort_if_not(a >= -1e10 && a <= 1e10)
[L153]      CALL, EXPR  SIN(a)
[L142]      COND FALSE  !(x<0)
            VAL         [T={4:0}, x=2899]
[L143]      CALL, EXPR  SIN_POS(x)
            VAL         [T={4:0}, \old(x)=2899]
[L136]      COND TRUE   x>180
            VAL         [T={4:0}, \old(x)=2899, x=2899]
[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)=2897, x=2897]
[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)=2897, x=2897]
[L130]                  return -SIN_0_180(-x);
[L136]      RET, EXPR   SIN_180(x-360.*(int)((x+180.)/360.))
            VAL         [T={4:0}, \old(x)=2899, x=2899]
[L136]                  return SIN_180(x-360.*(int)((x+180.)/360.));
[L143]      RET, EXPR   SIN_POS(x)
            VAL         [T={4:0}, x=2899]
[L143]                  return SIN_POS(x);
[L153]      RET, EXPR   SIN(a)
[L153]                  r = SIN(a)
[L155]      CALL        __VERIFIER_assert(r >= -1e5 && r <= 1e5)
[L17]       COND TRUE   !(cond)
            VAL         [T={4:0}]
[L17]                   reach_error()
            VAL         [T={4:0}]

  - StatisticsResult: Ultimate Automizer benchmark data
    CFG has 4 procedures, 32 locations, 1 error locations. Started 1 CEGAR loops. OverallTime: 0.3s, OverallIterations: 1, TraceHistogramMax: 1, PathProgramHistogramMax: 1, EmptinessCheckTime: 0.0s, AutomataDifference: 0.0s, DeadEndRemovalTime: 0.0s, HoareAnnotationTime: 0.0s, InitialAbstractionConstructionTime: 0.0s, HoareTripleCheckerStatistics: , PredicateUnifierStatistics: No data available, 0.0s BasicInterpolantAutomatonTime, BiggestAbstraction: size=32occurred in iteration=0, InterpolantAutomatonStates: 0, traceCheckStatistics: No data available, InterpolantConsolidationStatistics: No data available, PathInvariantsStatistics: No data available, 0/0 InterpolantCoveringCapability, TotalInterpolationStatistics: No data available, 0.0s DumpTime, AutomataMinimizationStatistics: No data available, HoareAnnotationStatistics: No data available, RefinementEngineStatistics: TRACE_CHECK: 0.0s SsaConstructionTime, 0.1s SatisfiabilityAnalysisTime, 0.0s InterpolantComputationTime, 23 NumberOfCodeBlocks, 23 NumberOfCodeBlocksAsserted, 1 NumberOfCheckSat, 0 ConstructedInterpolants, 0 QuantifiedInterpolants, 0 SizeOfPredicates, 0 NumberOfNonLiveVariables, 0 ConjunctsInSsa, 0 ConjunctsInUnsatCore, 0 InterpolantComputations, 0 PerfectInterpolantSequences, 0/0 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
[2024-10-12 17:07:02,045 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_bigrange_loose.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 c49991d9d00d9a8f949918eb2f11d96d2e43e5c095ed6a075a1c267b2fbdf3ca
--- Real Ultimate output ---
This is Ultimate 0.2.5-tmp.dk.eval-mul-div-a046e57-m
[2024-10-12 17:07:03,830 INFO  L188        SettingsManager]: Resetting all preferences to default values...
[2024-10-12 17:07:03,885 INFO  L114        SettingsManager]: Loading settings from /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/config/svcomp-Reach-32bit-Automizer_Bitvector.epf
[2024-10-12 17:07:03,891 WARN  L101        SettingsManager]: Preference file contains the following unknown settings:
[2024-10-12 17:07:03,891 WARN  L103        SettingsManager]:   * de.uni_freiburg.informatik.ultimate.core.Log level for class
[2024-10-12 17:07:03,916 INFO  L130        SettingsManager]: Preferences different from defaults after loading the file:
[2024-10-12 17:07:03,920 INFO  L151        SettingsManager]: Preferences of UltimateCore differ from their defaults:
[2024-10-12 17:07:03,921 INFO  L153        SettingsManager]:  * Log level for class=de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher=ERROR;
[2024-10-12 17:07:03,921 INFO  L151        SettingsManager]: Preferences of Boogie Preprocessor differ from their defaults:
[2024-10-12 17:07:03,922 INFO  L153        SettingsManager]:  * Use memory slicer=true
[2024-10-12 17:07:03,922 INFO  L151        SettingsManager]: Preferences of Boogie Procedure Inliner differ from their defaults:
[2024-10-12 17:07:03,922 INFO  L153        SettingsManager]:  * Ignore calls to procedures called more than once=ONLY_FOR_SEQUENTIAL_PROGRAMS
[2024-10-12 17:07:03,923 INFO  L151        SettingsManager]: Preferences of BlockEncodingV2 differ from their defaults:
[2024-10-12 17:07:03,923 INFO  L153        SettingsManager]:  * Create parallel compositions if possible=false
[2024-10-12 17:07:03,923 INFO  L153        SettingsManager]:  * Use SBE=true
[2024-10-12 17:07:03,924 INFO  L151        SettingsManager]: Preferences of CACSL2BoogieTranslator differ from their defaults:
[2024-10-12 17:07:03,924 INFO  L153        SettingsManager]:  * Pointer base address is valid at dereference=IGNORE
[2024-10-12 17:07:03,924 INFO  L153        SettingsManager]:  * sizeof long=4
[2024-10-12 17:07:03,924 INFO  L153        SettingsManager]:  * sizeof POINTER=4
[2024-10-12 17:07:03,924 INFO  L153        SettingsManager]:  * Check division by zero=IGNORE
[2024-10-12 17:07:03,925 INFO  L153        SettingsManager]:  * Pointer to allocated memory at dereference=IGNORE
[2024-10-12 17:07:03,925 INFO  L153        SettingsManager]:  * If two pointers are subtracted or compared they have the same base address=IGNORE
[2024-10-12 17:07:03,925 INFO  L153        SettingsManager]:  * Check array bounds for arrays that are off heap=IGNORE
[2024-10-12 17:07:03,925 INFO  L153        SettingsManager]:  * Adapt memory model on pointer casts if necessary=true
[2024-10-12 17:07:03,926 INFO  L153        SettingsManager]:  * Use bitvectors instead of ints=true
[2024-10-12 17:07:03,926 INFO  L153        SettingsManager]:  * Allow undefined functions=false
[2024-10-12 17:07:03,926 INFO  L153        SettingsManager]:  * Memory model=HoenickeLindenmann_4ByteResolution
[2024-10-12 17:07:03,926 INFO  L153        SettingsManager]:  * sizeof long double=12
[2024-10-12 17:07:03,927 INFO  L153        SettingsManager]:  * Check if freed pointer was valid=false
[2024-10-12 17:07:03,927 INFO  L153        SettingsManager]:  * Use constant arrays=true
[2024-10-12 17:07:03,927 INFO  L151        SettingsManager]: Preferences of RCFGBuilder differ from their defaults:
[2024-10-12 17:07:03,927 INFO  L153        SettingsManager]:  * Size of a code block=SequenceOfStatements
[2024-10-12 17:07:03,927 INFO  L153        SettingsManager]:  * Only consider context switches at boundaries of atomic blocks=true
[2024-10-12 17:07:03,928 INFO  L153        SettingsManager]:  * SMT solver=External_DefaultMode
[2024-10-12 17:07:03,928 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2024-10-12 17:07:03,928 INFO  L151        SettingsManager]: Preferences of TraceAbstraction differ from their defaults:
[2024-10-12 17:07:03,932 INFO  L153        SettingsManager]:  * Compute Interpolants along a Counterexample=FPandBP
[2024-10-12 17:07:03,933 INFO  L153        SettingsManager]:  * Positions where we compute the Hoare Annotation=LoopHeads
[2024-10-12 17:07:03,933 INFO  L153        SettingsManager]:  * Trace refinement strategy=WOLF
[2024-10-12 17:07:03,933 INFO  L153        SettingsManager]:  * Command for external solver=cvc4 --incremental --print-success --lang smt
[2024-10-12 17:07:03,933 INFO  L153        SettingsManager]:  * Apply one-shot large block encoding in concurrent analysis=false
[2024-10-12 17:07:03,934 INFO  L153        SettingsManager]:  * Automaton type used in concurrency analysis=PETRI_NET
[2024-10-12 17:07:03,934 INFO  L153        SettingsManager]:  * Order on configurations for Petri net unfoldings=DBO
[2024-10-12 17:07:03,934 INFO  L153        SettingsManager]:  * SMT solver=External_ModelsAndUnsatCoreMode
[2024-10-12 17:07:03,934 INFO  L153        SettingsManager]:  * Logic for external solver=AUFBV
[2024-10-12 17:07:03,934 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 -> c49991d9d00d9a8f949918eb2f11d96d2e43e5c095ed6a075a1c267b2fbdf3ca
[2024-10-12 17:07:04,181 INFO  L75    nceAwareModelManager]: Repository-Root is: /tmp
[2024-10-12 17:07:04,199 INFO  L261   ainManager$Toolchain]: [Toolchain 1]: Applicable parser(s) successfully (re)initialized
[2024-10-12 17:07:04,203 INFO  L217   ainManager$Toolchain]: [Toolchain 1]: Toolchain selected.
[2024-10-12 17:07:04,204 INFO  L270        PluginConnector]: Initializing CDTParser...
[2024-10-12 17:07:04,205 INFO  L274        PluginConnector]: CDTParser initialized
[2024-10-12 17:07:04,206 INFO  L431   ainManager$Toolchain]: [Toolchain 1]: Parsing single file: /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_bigrange_loose.c
[2024-10-12 17:07:05,420 INFO  L533              CDTParser]: Created temporary CDT project at NULL
[2024-10-12 17:07:05,560 INFO  L384              CDTParser]: Found 1 translation units.
[2024-10-12 17:07:05,561 INFO  L180              CDTParser]: Scanning /storage/repos/ultimate/releaseScripts/default/sv-benchmarks/c/float-benchs/sin_interpolated_bigrange_loose.c
[2024-10-12 17:07:05,571 INFO  L427              CDTParser]: About to delete temporary CDT project at /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/dc4a2455a/9237e37f87a04c39925633d8071f47a9/FLAGb6c85623d
[2024-10-12 17:07:05,973 INFO  L435              CDTParser]: Successfully deleted /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/data/dc4a2455a/9237e37f87a04c39925633d8071f47a9
[2024-10-12 17:07:05,975 INFO  L299   ainManager$Toolchain]: ####################### [Toolchain 1] #######################
[2024-10-12 17:07:05,976 INFO  L133        ToolchainWalker]: Walking toolchain with 6 elements.
[2024-10-12 17:07:05,977 INFO  L112        PluginConnector]: ------------------------CACSL2BoogieTranslator----------------------------
[2024-10-12 17:07:05,977 INFO  L270        PluginConnector]: Initializing CACSL2BoogieTranslator...
[2024-10-12 17:07:05,981 INFO  L274        PluginConnector]: CACSL2BoogieTranslator initialized
[2024-10-12 17:07:05,981 INFO  L184        PluginConnector]: Executing the observer ACSLObjectContainerObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 12.10 05:07:05" (1/1) ...
[2024-10-12 17:07:05,982 INFO  L204        PluginConnector]: Invalid model from CACSL2BoogieTranslator for observer de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator.ACSLObjectContainerObserver@3fb8c35f and model type de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:05, skipping insertion in model container
[2024-10-12 17:07:05,982 INFO  L184        PluginConnector]: Executing the observer CACSL2BoogieTranslatorObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 12.10 05:07:05" (1/1) ...
[2024-10-12 17:07:06,015 INFO  L175         MainTranslator]: Built tables and reachable declarations
[2024-10-12 17:07:06,151 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_bigrange_loose.c[690,703]
[2024-10-12 17:07:06,192 INFO  L210          PostProcessor]: Analyzing one entry point: main
[2024-10-12 17:07:06,251 INFO  L200         MainTranslator]: Completed pre-run
[2024-10-12 17:07:06,260 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_bigrange_loose.c[690,703]
[2024-10-12 17:07:06,271 INFO  L210          PostProcessor]: Analyzing one entry point: main
[2024-10-12 17:07:06,341 INFO  L204         MainTranslator]: Completed translation
[2024-10-12 17:07:06,341 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06 WrapperNode
[2024-10-12 17:07:06,341 INFO  L131        PluginConnector]: ------------------------ END CACSL2BoogieTranslator----------------------------
[2024-10-12 17:07:06,342 INFO  L112        PluginConnector]: ------------------------Boogie Procedure Inliner----------------------------
[2024-10-12 17:07:06,342 INFO  L270        PluginConnector]: Initializing Boogie Procedure Inliner...
[2024-10-12 17:07:06,342 INFO  L274        PluginConnector]: Boogie Procedure Inliner initialized
[2024-10-12 17:07:06,348 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,376 INFO  L184        PluginConnector]: Executing the observer Inliner from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,420 INFO  L138                Inliner]: procedures = 22, calls = 381, calls flagged for inlining = 5, calls inlined = 5, statements flattened = 405
[2024-10-12 17:07:06,420 INFO  L131        PluginConnector]: ------------------------ END Boogie Procedure Inliner----------------------------
[2024-10-12 17:07:06,421 INFO  L112        PluginConnector]: ------------------------Boogie Preprocessor----------------------------
[2024-10-12 17:07:06,421 INFO  L270        PluginConnector]: Initializing Boogie Preprocessor...
[2024-10-12 17:07:06,421 INFO  L274        PluginConnector]: Boogie Preprocessor initialized
[2024-10-12 17:07:06,429 INFO  L184        PluginConnector]: Executing the observer EnsureBoogieModelObserver from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,429 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,435 INFO  L184        PluginConnector]: Executing the observer MemorySlicer from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,454 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].
[2024-10-12 17:07:06,454 INFO  L184        PluginConnector]: Executing the observer ConstExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,454 INFO  L184        PluginConnector]: Executing the observer StructExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,479 INFO  L184        PluginConnector]: Executing the observer UnstructureCode from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,481 INFO  L184        PluginConnector]: Executing the observer FunctionInliner from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,488 INFO  L184        PluginConnector]: Executing the observer LTLStepAnnotator from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,490 INFO  L184        PluginConnector]: Executing the observer BoogieSymbolTableConstructor from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,503 INFO  L131        PluginConnector]: ------------------------ END Boogie Preprocessor----------------------------
[2024-10-12 17:07:06,504 INFO  L112        PluginConnector]: ------------------------RCFGBuilder----------------------------
[2024-10-12 17:07:06,504 INFO  L270        PluginConnector]: Initializing RCFGBuilder...
[2024-10-12 17:07:06,504 INFO  L274        PluginConnector]: RCFGBuilder initialized
[2024-10-12 17:07:06,505 INFO  L184        PluginConnector]: Executing the observer RCFGBuilderObserver from plugin RCFGBuilder for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (1/1) ...
[2024-10-12 17:07:06,509 INFO  L173          SolverBuilder]: Constructing external solver with command: z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2024-10-12 17:07:06,518 INFO  L189       MonitoredProcess]: No working directory specified, using /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/z3
[2024-10-12 17:07:06,533 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)
[2024-10-12 17:07:06,537 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
[2024-10-12 17:07:06,573 INFO  L130     BoogieDeclarations]: Found specification of procedure #Ultimate.allocInit
[2024-10-12 17:07:06,573 INFO  L130     BoogieDeclarations]: Found specification of procedure read~intFLOATTYPE8#0
[2024-10-12 17:07:06,573 INFO  L130     BoogieDeclarations]: Found specification of procedure read~intFLOATTYPE8#1
[2024-10-12 17:07:06,573 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_POS
[2024-10-12 17:07:06,574 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_POS
[2024-10-12 17:07:06,574 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intINTTYPE1#0
[2024-10-12 17:07:06,575 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intINTTYPE1#1
[2024-10-12 17:07:06,575 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_0_180
[2024-10-12 17:07:06,575 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_0_180
[2024-10-12 17:07:06,575 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_180
[2024-10-12 17:07:06,575 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_180
[2024-10-12 17:07:06,575 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intFLOATTYPE8#0
[2024-10-12 17:07:06,575 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intFLOATTYPE8#1
[2024-10-12 17:07:06,576 INFO  L130     BoogieDeclarations]: Found specification of procedure ULTIMATE.start
[2024-10-12 17:07:06,576 INFO  L138     BoogieDeclarations]: Found implementation of procedure ULTIMATE.start
[2024-10-12 17:07:06,636 INFO  L238             CfgBuilder]: Building ICFG
[2024-10-12 17:07:06,637 INFO  L264             CfgBuilder]: Building CFG for each procedure with an implementation
[2024-10-12 17:07:11,529 INFO  L?                        ?]: Removed 17 outVars from TransFormulas that were not future-live.
[2024-10-12 17:07:11,529 INFO  L287             CfgBuilder]: Performing block encoding
[2024-10-12 17:07:11,812 INFO  L309             CfgBuilder]: Using the 1 location(s) as analysis (start of procedure ULTIMATE.start)
[2024-10-12 17:07:11,812 INFO  L314             CfgBuilder]: Removed 0 assume(true) statements.
[2024-10-12 17:07:11,813 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 12.10 05:07:11 BoogieIcfgContainer
[2024-10-12 17:07:11,813 INFO  L131        PluginConnector]: ------------------------ END RCFGBuilder----------------------------
[2024-10-12 17:07:11,816 INFO  L112        PluginConnector]: ------------------------TraceAbstraction----------------------------
[2024-10-12 17:07:11,816 INFO  L270        PluginConnector]: Initializing TraceAbstraction...
[2024-10-12 17:07:11,818 INFO  L274        PluginConnector]: TraceAbstraction initialized
[2024-10-12 17:07:11,819 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "CDTParser AST 12.10 05:07:05" (1/3) ...
[2024-10-12 17:07:11,819 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@fdf0a19 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 12.10 05:07:11, skipping insertion in model container
[2024-10-12 17:07:11,819 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 12.10 05:07:06" (2/3) ...
[2024-10-12 17:07:11,820 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@fdf0a19 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 12.10 05:07:11, skipping insertion in model container
[2024-10-12 17:07:11,820 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 12.10 05:07:11" (3/3) ...
[2024-10-12 17:07:11,821 INFO  L112   eAbstractionObserver]: Analyzing ICFG sin_interpolated_bigrange_loose.c
[2024-10-12 17:07:11,833 INFO  L209   ceAbstractionStarter]: Automizer settings: Hoare:LoopHeads NWA Interpolation:FPandBP Determinization: PREDICATE_ABSTRACTION
[2024-10-12 17:07:11,833 INFO  L149   ceAbstractionStarter]: Applying trace abstraction to program that has 1 error locations.
[2024-10-12 17:07:11,875 INFO  L332      AbstractCegarLoop]: ======== Iteration 0 == of CEGAR loop == AllErrorsAtOnce ========
[2024-10-12 17:07:11,880 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;@2e8d5db0, mLbeIndependenceSettings=[IndependenceType=SEMANTIC, AbstractionType=NONE, UseConditional=false, UseSemiCommutativity=true, Solver=Z3, SolverTimeout=1000ms]
[2024-10-12 17:07:11,881 INFO  L334      AbstractCegarLoop]: Starting to check reachability of 1 error locations.
[2024-10-12 17:07:11,884 INFO  L276                IsEmpty]: Start isEmpty. Operand  has 32 states, 21 states have (on average 1.2857142857142858) internal successors, (27), 22 states have internal predecessors, (27), 6 states have call successors, (6), 3 states have call predecessors, (6), 3 states have return successors, (6), 6 states have call predecessors, (6), 6 states have call successors, (6)
[2024-10-12 17:07:11,889 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 24
[2024-10-12 17:07:11,889 INFO  L207           NwaCegarLoop]: Found error trace
[2024-10-12 17:07:11,890 INFO  L215           NwaCegarLoop]: trace histogram [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[2024-10-12 17:07:11,890 INFO  L396      AbstractCegarLoop]: === Iteration 1 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2024-10-12 17:07:11,894 INFO  L157       PredicateUnifier]: Initialized classic predicate unifier
[2024-10-12 17:07:11,894 INFO  L85        PathProgramCache]: Analyzing trace with hash -574403304, now seen corresponding path program 1 times
[2024-10-12 17:07:11,909 INFO  L118   FreeRefinementEngine]: Executing refinement strategy WOLF
[2024-10-12 17:07:11,909 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleMathsat [668488863]
[2024-10-12 17:07:11,909 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2024-10-12 17:07:11,909 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
[2024-10-12 17:07:11,910 INFO  L189       MonitoredProcess]: No working directory specified, using /storage/repos/ultimate/releaseScripts/default/UAutomizer-linux/mathsat
[2024-10-12 17:07:11,912 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)
[2024-10-12 17:07:11,913 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