./Ultimate.py --spec ../../sv-benchmarks/c/properties/unreach-call.prp --file ../../sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c --full-output --architecture 32bit


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


Checking for ERROR reachability
Using default analysis
Version 0e0057cc
Calling Ultimate with: /usr/lib/jvm/java-1.11.0-openjdk-amd64/bin/java -Dosgi.configuration.area=/tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/data/config -Xmx15G -Xms4m -jar /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/plugins/org.eclipse.equinox.launcher_1.5.800.v20200727-1323.jar -data @noDefault -ultimatedata /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/data -tc /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/config/AutomizerReach.xml -i ../../sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c -s /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/config/svcomp-Reach-32bit-Automizer_Default.epf --cacsl2boogietranslator.entry.function main --witnessprinter.witness.directory /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme --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 5423b27090f3cf0121cc8887f927af7adf1f36a8d0cd9b6a020d1176d1eeff74
--- Real Ultimate output ---
This is Ultimate 0.2.4-dev-0e0057c
[2023-11-26 11:50:11,115 INFO  L188        SettingsManager]: Resetting all preferences to default values...
[2023-11-26 11:50:11,224 INFO  L114        SettingsManager]: Loading settings from /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/config/svcomp-Reach-32bit-Automizer_Default.epf
[2023-11-26 11:50:11,230 WARN  L101        SettingsManager]: Preference file contains the following unknown settings:
[2023-11-26 11:50:11,230 WARN  L103        SettingsManager]:   * de.uni_freiburg.informatik.ultimate.core.Log level for class
[2023-11-26 11:50:11,255 INFO  L130        SettingsManager]: Preferences different from defaults after loading the file:
[2023-11-26 11:50:11,255 INFO  L151        SettingsManager]: Preferences of UltimateCore differ from their defaults:
[2023-11-26 11:50:11,256 INFO  L153        SettingsManager]:  * Log level for class=de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher=ERROR;
[2023-11-26 11:50:11,257 INFO  L151        SettingsManager]: Preferences of Boogie Preprocessor differ from their defaults:
[2023-11-26 11:50:11,257 INFO  L153        SettingsManager]:  * Use memory slicer=true
[2023-11-26 11:50:11,258 INFO  L151        SettingsManager]: Preferences of Boogie Procedure Inliner differ from their defaults:
[2023-11-26 11:50:11,258 INFO  L153        SettingsManager]:  * Ignore calls to procedures called more than once=ONLY_FOR_SEQUENTIAL_PROGRAMS
[2023-11-26 11:50:11,259 INFO  L151        SettingsManager]: Preferences of BlockEncodingV2 differ from their defaults:
[2023-11-26 11:50:11,260 INFO  L153        SettingsManager]:  * Create parallel compositions if possible=false
[2023-11-26 11:50:11,260 INFO  L153        SettingsManager]:  * Use SBE=true
[2023-11-26 11:50:11,261 INFO  L151        SettingsManager]: Preferences of CACSL2BoogieTranslator differ from their defaults:
[2023-11-26 11:50:11,262 INFO  L153        SettingsManager]:  * Pointer base address is valid at dereference=IGNORE
[2023-11-26 11:50:11,262 INFO  L153        SettingsManager]:  * sizeof long=4
[2023-11-26 11:50:11,262 INFO  L153        SettingsManager]:  * Overapproximate operations on floating types=true
[2023-11-26 11:50:11,263 INFO  L153        SettingsManager]:  * sizeof POINTER=4
[2023-11-26 11:50:11,263 INFO  L153        SettingsManager]:  * Check division by zero=IGNORE
[2023-11-26 11:50:11,264 INFO  L153        SettingsManager]:  * Pointer to allocated memory at dereference=IGNORE
[2023-11-26 11:50:11,264 INFO  L153        SettingsManager]:  * If two pointers are subtracted or compared they have the same base address=IGNORE
[2023-11-26 11:50:11,265 INFO  L153        SettingsManager]:  * Check array bounds for arrays that are off heap=IGNORE
[2023-11-26 11:50:11,265 INFO  L153        SettingsManager]:  * sizeof long double=12
[2023-11-26 11:50:11,266 INFO  L153        SettingsManager]:  * Check if freed pointer was valid=false
[2023-11-26 11:50:11,266 INFO  L153        SettingsManager]:  * Use constant arrays=true
[2023-11-26 11:50:11,266 INFO  L151        SettingsManager]: Preferences of RCFGBuilder differ from their defaults:
[2023-11-26 11:50:11,267 INFO  L153        SettingsManager]:  * Size of a code block=SequenceOfStatements
[2023-11-26 11:50:11,267 INFO  L153        SettingsManager]:  * Only consider context switches at boundaries of atomic blocks=true
[2023-11-26 11:50:11,267 INFO  L153        SettingsManager]:  * SMT solver=External_DefaultMode
[2023-11-26 11:50:11,268 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2023-11-26 11:50:11,268 INFO  L151        SettingsManager]: Preferences of TraceAbstraction differ from their defaults:
[2023-11-26 11:50:11,269 INFO  L153        SettingsManager]:  * Compute Interpolants along a Counterexample=FPandBP
[2023-11-26 11:50:11,269 INFO  L153        SettingsManager]:  * Positions where we compute the Hoare Annotation=LoopHeads
[2023-11-26 11:50:11,269 INFO  L153        SettingsManager]:  * Trace refinement strategy=CAMEL
[2023-11-26 11:50:11,269 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in
[2023-11-26 11:50:11,269 INFO  L153        SettingsManager]:  * Apply one-shot large block encoding in concurrent analysis=false
[2023-11-26 11:50:11,270 INFO  L153        SettingsManager]:  * Automaton type used in concurrency analysis=PETRI_NET
[2023-11-26 11:50:11,270 INFO  L153        SettingsManager]:  * Compute Hoare Annotation of negated interpolant automaton, abstraction and CFG=true
[2023-11-26 11:50:11,270 INFO  L153        SettingsManager]:  * Order on configurations for Petri net unfoldings=DBO
[2023-11-26 11:50:11,270 INFO  L153        SettingsManager]:  * SMT solver=External_ModelsAndUnsatCoreMode
[2023-11-26 11:50:11,271 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:/tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/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 -> /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme
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 -> 5423b27090f3cf0121cc8887f927af7adf1f36a8d0cd9b6a020d1176d1eeff74
[2023-11-26 11:50:11,558 INFO  L75    nceAwareModelManager]: Repository-Root is: /tmp
[2023-11-26 11:50:11,580 INFO  L261   ainManager$Toolchain]: [Toolchain 1]: Applicable parser(s) successfully (re)initialized
[2023-11-26 11:50:11,583 INFO  L217   ainManager$Toolchain]: [Toolchain 1]: Toolchain selected.
[2023-11-26 11:50:11,584 INFO  L270        PluginConnector]: Initializing CDTParser...
[2023-11-26 11:50:11,585 INFO  L274        PluginConnector]: CDTParser initialized
[2023-11-26 11:50:11,586 INFO  L431   ainManager$Toolchain]: [Toolchain 1]: Parsing single file: /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/../../sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c
[2023-11-26 11:50:14,638 INFO  L533              CDTParser]: Created temporary CDT project at NULL
[2023-11-26 11:50:14,950 INFO  L384              CDTParser]: Found 1 translation units.
[2023-11-26 11:50:14,952 INFO  L180              CDTParser]: Scanning /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c
[2023-11-26 11:50:14,963 INFO  L427              CDTParser]: About to delete temporary CDT project at /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/data/b4eab500e/8a53ad96f08843bea94ab42a4735f799/FLAG76e4770d4
[2023-11-26 11:50:14,982 INFO  L435              CDTParser]: Successfully deleted /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/data/b4eab500e/8a53ad96f08843bea94ab42a4735f799
[2023-11-26 11:50:14,992 INFO  L299   ainManager$Toolchain]: ####################### [Toolchain 1] #######################
[2023-11-26 11:50:14,994 INFO  L133        ToolchainWalker]: Walking toolchain with 6 elements.
[2023-11-26 11:50:14,997 INFO  L112        PluginConnector]: ------------------------CACSL2BoogieTranslator----------------------------
[2023-11-26 11:50:14,997 INFO  L270        PluginConnector]: Initializing CACSL2BoogieTranslator...
[2023-11-26 11:50:15,003 INFO  L274        PluginConnector]: CACSL2BoogieTranslator initialized
[2023-11-26 11:50:15,003 INFO  L184        PluginConnector]: Executing the observer ACSLObjectContainerObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 26.11 11:50:14" (1/1) ...
[2023-11-26 11:50:15,004 INFO  L204        PluginConnector]: Invalid model from CACSL2BoogieTranslator for observer de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator.ACSLObjectContainerObserver@69fd825b and model type de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15, skipping insertion in model container
[2023-11-26 11:50:15,005 INFO  L184        PluginConnector]: Executing the observer CACSL2BoogieTranslatorObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 26.11 11:50:14" (1/1) ...
[2023-11-26 11:50:15,040 INFO  L177         MainTranslator]: Built tables and reachable declarations
[2023-11-26 11:50:15,236 WARN  L240   ndardFunctionHandler]: Function reach_error is already implemented but we override the implementation for the call at /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c[686,699]
[2023-11-26 11:50:15,279 INFO  L209          PostProcessor]: Analyzing one entry point: main
[2023-11-26 11:50:15,345 INFO  L202         MainTranslator]: Completed pre-run
[2023-11-26 11:50:15,357 WARN  L240   ndardFunctionHandler]: Function reach_error is already implemented but we override the implementation for the call at /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c[686,699]
[2023-11-26 11:50:15,376 INFO  L209          PostProcessor]: Analyzing one entry point: main
[2023-11-26 11:50:15,440 INFO  L206         MainTranslator]: Completed translation
[2023-11-26 11:50:15,441 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15 WrapperNode
[2023-11-26 11:50:15,441 INFO  L131        PluginConnector]: ------------------------ END CACSL2BoogieTranslator----------------------------
[2023-11-26 11:50:15,442 INFO  L112        PluginConnector]: ------------------------Boogie Procedure Inliner----------------------------
[2023-11-26 11:50:15,442 INFO  L270        PluginConnector]: Initializing Boogie Procedure Inliner...
[2023-11-26 11:50:15,443 INFO  L274        PluginConnector]: Boogie Procedure Inliner initialized
[2023-11-26 11:50:15,451 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,470 INFO  L184        PluginConnector]: Executing the observer Inliner from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,529 INFO  L138                Inliner]: procedures = 21, calls = 381, calls flagged for inlining = 5, calls inlined = 5, statements flattened = 413
[2023-11-26 11:50:15,530 INFO  L131        PluginConnector]: ------------------------ END Boogie Procedure Inliner----------------------------
[2023-11-26 11:50:15,531 INFO  L112        PluginConnector]: ------------------------Boogie Preprocessor----------------------------
[2023-11-26 11:50:15,531 INFO  L270        PluginConnector]: Initializing Boogie Preprocessor...
[2023-11-26 11:50:15,531 INFO  L274        PluginConnector]: Boogie Preprocessor initialized
[2023-11-26 11:50:15,544 INFO  L184        PluginConnector]: Executing the observer EnsureBoogieModelObserver from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,545 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,554 INFO  L184        PluginConnector]: Executing the observer MemorySlicer from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,598 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].
[2023-11-26 11:50:15,598 INFO  L184        PluginConnector]: Executing the observer ConstExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,599 INFO  L184        PluginConnector]: Executing the observer StructExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,639 INFO  L184        PluginConnector]: Executing the observer UnstructureCode from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,643 INFO  L184        PluginConnector]: Executing the observer FunctionInliner from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,660 INFO  L184        PluginConnector]: Executing the observer LTLStepAnnotator from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,663 INFO  L184        PluginConnector]: Executing the observer BoogieSymbolTableConstructor from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,669 INFO  L131        PluginConnector]: ------------------------ END Boogie Preprocessor----------------------------
[2023-11-26 11:50:15,686 INFO  L112        PluginConnector]: ------------------------RCFGBuilder----------------------------
[2023-11-26 11:50:15,686 INFO  L270        PluginConnector]: Initializing RCFGBuilder...
[2023-11-26 11:50:15,686 INFO  L274        PluginConnector]: RCFGBuilder initialized
[2023-11-26 11:50:15,687 INFO  L184        PluginConnector]: Executing the observer RCFGBuilderObserver from plugin RCFGBuilder for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (1/1) ...
[2023-11-26 11:50:15,694 INFO  L173          SolverBuilder]: Constructing external solver with command: z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2023-11-26 11:50:15,725 INFO  L189       MonitoredProcess]: No working directory specified, using /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/z3
[2023-11-26 11:50:15,744 INFO  L229       MonitoredProcess]: Starting monitored process 1 with /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (exit command is (exit), workingDir is null)
[2023-11-26 11:50:15,768 INFO  L327       MonitoredProcess]: [MP /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (1)] Waiting until timeout for monitored process
[2023-11-26 11:50:15,796 INFO  L130     BoogieDeclarations]: Found specification of procedure #Ultimate.allocInit
[2023-11-26 11:50:15,796 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_POS
[2023-11-26 11:50:15,797 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_POS
[2023-11-26 11:50:15,797 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~int#0
[2023-11-26 11:50:15,797 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~int#1
[2023-11-26 11:50:15,797 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_0_180
[2023-11-26 11:50:15,798 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_0_180
[2023-11-26 11:50:15,799 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_180
[2023-11-26 11:50:15,799 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_180
[2023-11-26 11:50:15,800 INFO  L130     BoogieDeclarations]: Found specification of procedure read~real#0
[2023-11-26 11:50:15,800 INFO  L130     BoogieDeclarations]: Found specification of procedure read~real#1
[2023-11-26 11:50:15,800 INFO  L130     BoogieDeclarations]: Found specification of procedure ULTIMATE.start
[2023-11-26 11:50:15,800 INFO  L138     BoogieDeclarations]: Found implementation of procedure ULTIMATE.start
[2023-11-26 11:50:15,800 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~real#0
[2023-11-26 11:50:15,801 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~real#1
[2023-11-26 11:50:15,930 INFO  L241             CfgBuilder]: Building ICFG
[2023-11-26 11:50:15,932 INFO  L267             CfgBuilder]: Building CFG for each procedure with an implementation
[2023-11-26 11:50:16,471 INFO  L282             CfgBuilder]: Performing block encoding
[2023-11-26 11:50:16,552 INFO  L304             CfgBuilder]: Using the 1 location(s) as analysis (start of procedure ULTIMATE.start)
[2023-11-26 11:50:16,552 INFO  L309             CfgBuilder]: Removed 1 assume(true) statements.
[2023-11-26 11:50:16,560 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 26.11 11:50:16 BoogieIcfgContainer
[2023-11-26 11:50:16,560 INFO  L131        PluginConnector]: ------------------------ END RCFGBuilder----------------------------
[2023-11-26 11:50:16,563 INFO  L112        PluginConnector]: ------------------------TraceAbstraction----------------------------
[2023-11-26 11:50:16,563 INFO  L270        PluginConnector]: Initializing TraceAbstraction...
[2023-11-26 11:50:16,575 INFO  L274        PluginConnector]: TraceAbstraction initialized
[2023-11-26 11:50:16,575 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "CDTParser AST 26.11 11:50:14" (1/3) ...
[2023-11-26 11:50:16,577 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@2995383f and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 26.11 11:50:16, skipping insertion in model container
[2023-11-26 11:50:16,577 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:15" (2/3) ...
[2023-11-26 11:50:16,577 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@2995383f and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 26.11 11:50:16, skipping insertion in model container
[2023-11-26 11:50:16,577 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 26.11 11:50:16" (3/3) ...
[2023-11-26 11:50:16,579 INFO  L112   eAbstractionObserver]: Analyzing ICFG sin_interpolated_smallrange.c
[2023-11-26 11:50:16,617 INFO  L203   ceAbstractionStarter]: Automizer settings: Hoare:true NWA Interpolation:FPandBP Determinization: PREDICATE_ABSTRACTION
[2023-11-26 11:50:16,617 INFO  L162   ceAbstractionStarter]: Applying trace abstraction to program that has 1 error locations.
[2023-11-26 11:50:16,667 INFO  L356      AbstractCegarLoop]: ======== Iteration 0 == of CEGAR loop == AllErrorsAtOnce ========
[2023-11-26 11:50:16,674 INFO  L357      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, mHoare=true, 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;@2c8bf1e9, mLbeIndependenceSettings=[IndependenceType=SEMANTIC, AbstractionType=NONE, UseConditional=false, UseSemiCommutativity=true, Solver=Z3, SolverTimeout=1000ms]
[2023-11-26 11:50:16,674 INFO  L358      AbstractCegarLoop]: Starting to check reachability of 1 error locations.
[2023-11-26 11:50:16,678 INFO  L276                IsEmpty]: Start isEmpty. Operand  has 34 states, 23 states have (on average 1.3478260869565217) internal successors, (31), 24 states have internal predecessors, (31), 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)
[2023-11-26 11:50:16,686 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 25
[2023-11-26 11:50:16,686 INFO  L187           NwaCegarLoop]: Found error trace
[2023-11-26 11:50:16,687 INFO  L195           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, 1]
[2023-11-26 11:50:16,687 INFO  L420      AbstractCegarLoop]: === Iteration 1 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2023-11-26 11:50:16,693 INFO  L160       PredicateUnifier]: Initialized classic predicate unifier
[2023-11-26 11:50:16,693 INFO  L85        PathProgramCache]: Analyzing trace with hash 85631131, now seen corresponding path program 1 times
[2023-11-26 11:50:16,704 INFO  L118   FreeRefinementEngine]: Executing refinement strategy CAMEL
[2023-11-26 11:50:16,704 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleSmtInterpolCraig [708152693]
[2023-11-26 11:50:16,704 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2023-11-26 11:50:16,705 INFO  L127          SolverBuilder]: Constructing new instance of SMTInterpol with explicit timeout -1 ms and remaining time -1 ms
[2023-11-26 11:50:16,899 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2023-11-26 11:50:17,056 INFO  L376   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 5
[2023-11-26 11:50:17,065 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2023-11-26 11:50:17,079 INFO  L376   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 2
[2023-11-26 11:50:17,087 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2023-11-26 11:50:17,105 INFO  L376   atingTraceCheckCraig]: Compute interpolants for subsequence at non-pending call position 2
[2023-11-26 11:50:17,107 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2023-11-26 11:50:17,130 INFO  L134       CoverageAnalysis]: Checked inductivity of 0 backedges. 0 proven. 0 refuted. 0 times theorem prover too weak. 0 trivial. 0 not checked.
[2023-11-26 11:50:17,131 INFO  L136   FreeRefinementEngine]: Strategy CAMEL found an infeasible trace
[2023-11-26 11:50:17,131 INFO  L334   FreeRefinementEngine]: Using interpolant generator IpTcStrategyModuleSmtInterpolCraig [708152693]
[2023-11-26 11:50:17,132 INFO  L158   FreeRefinementEngine]: IpTcStrategyModuleSmtInterpolCraig [708152693] provided 1 perfect and 0 imperfect interpolant sequences
[2023-11-26 11:50:17,133 INFO  L185   FreeRefinementEngine]: Found 1 perfect and 0 imperfect interpolant sequences.
[2023-11-26 11:50:17,133 INFO  L198   FreeRefinementEngine]: Number of different interpolants: perfect sequences [2] imperfect sequences [] total 2
[2023-11-26 11:50:17,135 INFO  L121   tionRefinementEngine]: Using interpolant automaton builder IpAbStrategyModuleStraightlineAll [1594621795]
[2023-11-26 11:50:17,135 INFO  L85    oduleStraightlineAll]: Using 1 perfect interpolants to construct interpolant automaton
[2023-11-26 11:50:17,140 INFO  L571      AbstractCegarLoop]: INTERPOLANT automaton has 2 states
[2023-11-26 11:50:17,142 INFO  L100   FreeRefinementEngine]: Using predicate unifier PredicateUnifier provided by strategy CAMEL
[2023-11-26 11:50:17,188 INFO  L143   InterpolantAutomaton]: Constructing interpolant automaton starting with 2 interpolants.
[2023-11-26 11:50:17,188 INFO  L145   InterpolantAutomaton]: CoverageRelationStatistics Valid=1, Invalid=1, Unknown=0, NotChecked=0, Total=2
[2023-11-26 11:50:17,191 INFO  L87              Difference]: Start difference. First operand  has 34 states, 23 states have (on average 1.3478260869565217) internal successors, (31), 24 states have internal predecessors, (31), 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) Second operand  has 2 states, 2 states have (on average 9.0) internal successors, (18), 2 states have internal predecessors, (18), 2 states have call successors, (3), 1 states have call predecessors, (3), 1 states have return successors, (3), 2 states have call predecessors, (3), 2 states have call successors, (3)
[2023-11-26 11:50:17,250 INFO  L144             Difference]: Subtrahend was deterministic. Have not used determinization.
[2023-11-26 11:50:17,251 INFO  L93              Difference]: Finished difference Result 67 states and 85 transitions.
[2023-11-26 11:50:17,254 INFO  L141   InterpolantAutomaton]: Switched to read-only mode: deterministic interpolant automaton has 2 states. 
[2023-11-26 11:50:17,256 INFO  L78                 Accepts]: Start accepts. Automaton has  has 2 states, 2 states have (on average 9.0) internal successors, (18), 2 states have internal predecessors, (18), 2 states have call successors, (3), 1 states have call predecessors, (3), 1 states have return successors, (3), 2 states have call predecessors, (3), 2 states have call successors, (3) Word has length 24
[2023-11-26 11:50:17,256 INFO  L84                 Accepts]: Finished accepts. some prefix is accepted.
[2023-11-26 11:50:17,264 INFO  L225             Difference]: With dead ends: 67
[2023-11-26 11:50:17,265 INFO  L226             Difference]: Without dead ends: 32
[2023-11-26 11:50:17,269 INFO  L412           NwaCegarLoop]: 0 DeclaredPredicates, 8 GetRequests, 8 SyntacticMatches, 0 SemanticMatches, 0 ConstructedPredicates, 0 IntricatePredicates, 0 DeprecatedPredicates, 0 ImplicationChecksByTransitivity, 0.0s TimeCoverageRelationStatistics Valid=1, Invalid=1, Unknown=0, NotChecked=0, Total=2
[2023-11-26 11:50:17,275 INFO  L413           NwaCegarLoop]: 36 mSDtfsCounter, 0 mSDsluCounter, 0 mSDsCounter, 0 mSdLazyCounter, 4 mSolverCounterSat, 0 mSolverCounterUnsat, 0 mSolverCounterUnknown, 0 mSolverCounterNotChecked, 0.0s Time, 0 mProtectedPredicate, 0 mProtectedAction, 0 SdHoareTripleChecker+Valid, 36 SdHoareTripleChecker+Invalid, 4 SdHoareTripleChecker+Unknown, 0 SdHoareTripleChecker+Unchecked, 0.0s SdHoareTripleChecker+Time, 0 IncrementalHoareTripleChecker+Valid, 4 IncrementalHoareTripleChecker+Invalid, 0 IncrementalHoareTripleChecker+Unknown, 0 IncrementalHoareTripleChecker+Unchecked, 0.0s IncrementalHoareTripleChecker+Time
[2023-11-26 11:50:17,277 INFO  L414           NwaCegarLoop]: SdHoareTripleChecker [0 Valid, 36 Invalid, 4 Unknown, 0 Unchecked, 0.0s Time], IncrementalHoareTripleChecker [0 Valid, 4 Invalid, 0 Unknown, 0 Unchecked, 0.0s Time]
[2023-11-26 11:50:17,295 INFO  L82        GeneralOperation]: Start minimizeSevpa. Operand 32 states.
[2023-11-26 11:50:17,320 INFO  L88        GeneralOperation]: Finished minimizeSevpa. Reduced states from 32 to 32.
[2023-11-26 11:50:17,321 INFO  L82        GeneralOperation]: Start removeUnreachable. Operand  has 32 states, 22 states have (on average 1.1818181818181819) internal successors, (26), 22 states have internal predecessors, (26), 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)
[2023-11-26 11:50:17,324 INFO  L88        GeneralOperation]: Finished removeUnreachable. Reduced from 32 states to 32 states and 38 transitions.
[2023-11-26 11:50:17,326 INFO  L78                 Accepts]: Start accepts. Automaton has 32 states and 38 transitions. Word has length 24
[2023-11-26 11:50:17,327 INFO  L84                 Accepts]: Finished accepts. word is rejected.
[2023-11-26 11:50:17,327 INFO  L495      AbstractCegarLoop]: Abstraction has 32 states and 38 transitions.
[2023-11-26 11:50:17,328 INFO  L496      AbstractCegarLoop]: INTERPOLANT automaton has  has 2 states, 2 states have (on average 9.0) internal successors, (18), 2 states have internal predecessors, (18), 2 states have call successors, (3), 1 states have call predecessors, (3), 1 states have return successors, (3), 2 states have call predecessors, (3), 2 states have call successors, (3)
[2023-11-26 11:50:17,328 INFO  L276                IsEmpty]: Start isEmpty. Operand 32 states and 38 transitions.
[2023-11-26 11:50:17,331 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 25
[2023-11-26 11:50:17,332 INFO  L187           NwaCegarLoop]: Found error trace
[2023-11-26 11:50:17,332 INFO  L195           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, 1]
[2023-11-26 11:50:17,332 WARN  L477      AbstractCegarLoop]: Destroyed unattended storables created during the last iteration: SelfDestructingSolverStorable0
[2023-11-26 11:50:17,333 INFO  L420      AbstractCegarLoop]: === Iteration 2 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2023-11-26 11:50:17,333 INFO  L160       PredicateUnifier]: Initialized classic predicate unifier
[2023-11-26 11:50:17,334 INFO  L85        PathProgramCache]: Analyzing trace with hash 304485849, now seen corresponding path program 1 times
[2023-11-26 11:50:17,334 INFO  L118   FreeRefinementEngine]: Executing refinement strategy CAMEL
[2023-11-26 11:50:17,335 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleSmtInterpolCraig [860926346]
[2023-11-26 11:50:17,335 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2023-11-26 11:50:17,336 INFO  L127          SolverBuilder]: Constructing new instance of SMTInterpol with explicit timeout -1 ms and remaining time -1 ms
[2023-11-26 11:50:17,455 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is sat
[2023-11-26 11:50:17,455 INFO  L356             TraceCheck]: Trace is feasible, we will do another trace check, this time with branch encoders.
[2023-11-26 11:50:17,518 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is sat
[2023-11-26 11:50:17,559 INFO  L130   FreeRefinementEngine]: Strategy CAMEL found a feasible trace
[2023-11-26 11:50:17,559 INFO  L360         BasicCegarLoop]: Counterexample is feasible
[2023-11-26 11:50:17,561 INFO  L805   garLoopResultBuilder]: Registering result UNSAFE for location ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION (0 of 1 remaining)
[2023-11-26 11:50:17,563 WARN  L477      AbstractCegarLoop]: Destroyed unattended storables created during the last iteration: SelfDestructingSolverStorable1
[2023-11-26 11:50:17,567 INFO  L445         BasicCegarLoop]: Path program histogram: [1, 1]
[2023-11-26 11:50:17,571 INFO  L178   ceAbstractionStarter]: Computing trace abstraction results
[2023-11-26 11:50:17,601 WARN  L1572  BoogieBacktranslator]: Unfinished Backtranslation: IdentifierExpression #t~ret6 could not be translated
[2023-11-26 11:50:17,602 WARN  L1572  BoogieBacktranslator]: Unfinished Backtranslation: IdentifierExpression #t~ret8 could not be translated
[2023-11-26 11:50:17,602 WARN  L1572  BoogieBacktranslator]: Unfinished Backtranslation: IdentifierExpression #t~ret11 could not be translated
[2023-11-26 11:50:17,629 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction CFG 26.11 11:50:17 BoogieIcfgContainer
[2023-11-26 11:50:17,629 INFO  L131        PluginConnector]: ------------------------ END TraceAbstraction----------------------------
[2023-11-26 11:50:17,630 INFO  L112        PluginConnector]: ------------------------Witness Printer----------------------------
[2023-11-26 11:50:17,630 INFO  L270        PluginConnector]: Initializing Witness Printer...
[2023-11-26 11:50:17,630 INFO  L274        PluginConnector]: Witness Printer initialized
[2023-11-26 11:50:17,631 INFO  L184        PluginConnector]: Executing the observer RCFGCatcher from plugin Witness Printer for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 26.11 11:50:16" (3/4) ...
[2023-11-26 11:50:17,633 INFO  L140         WitnessPrinter]: No result that supports witness generation found
[2023-11-26 11:50:17,634 INFO  L131        PluginConnector]: ------------------------ END Witness Printer----------------------------
[2023-11-26 11:50:17,635 INFO  L158              Benchmark]: Toolchain (without parser) took 2640.83ms. Allocated memory is still 151.0MB. Free memory was 122.7MB in the beginning and 39.6MB in the end (delta: 83.1MB). Peak memory consumption was 80.8MB. Max. memory is 16.1GB.
[2023-11-26 11:50:17,636 INFO  L158              Benchmark]: CDTParser took 0.29ms. Allocated memory is still 151.0MB. Free memory was 122.7MB in the beginning and 122.5MB in the end (delta: 176.2kB). There was no memory consumed. Max. memory is 16.1GB.
[2023-11-26 11:50:17,636 INFO  L158              Benchmark]: CACSL2BoogieTranslator took 444.85ms. Allocated memory is still 151.0MB. Free memory was 122.2MB in the beginning and 102.3MB in the end (delta: 19.9MB). Peak memory consumption was 18.9MB. Max. memory is 16.1GB.
[2023-11-26 11:50:17,637 INFO  L158              Benchmark]: Boogie Procedure Inliner took 87.91ms. Allocated memory is still 151.0MB. Free memory was 102.3MB in the beginning and 97.6MB in the end (delta: 4.7MB). Peak memory consumption was 6.3MB. Max. memory is 16.1GB.
[2023-11-26 11:50:17,638 INFO  L158              Benchmark]: Boogie Preprocessor took 154.21ms. Allocated memory is still 151.0MB. Free memory was 97.6MB in the beginning and 92.9MB in the end (delta: 4.7MB). Peak memory consumption was 4.2MB. Max. memory is 16.1GB.
[2023-11-26 11:50:17,638 INFO  L158              Benchmark]: RCFGBuilder took 874.79ms. Allocated memory is still 151.0MB. Free memory was 92.9MB in the beginning and 62.5MB in the end (delta: 30.4MB). Peak memory consumption was 29.4MB. Max. memory is 16.1GB.
[2023-11-26 11:50:17,639 INFO  L158              Benchmark]: TraceAbstraction took 1066.09ms. Allocated memory is still 151.0MB. Free memory was 61.9MB in the beginning and 40.4MB in the end (delta: 21.5MB). Peak memory consumption was 19.9MB. Max. memory is 16.1GB.
[2023-11-26 11:50:17,639 INFO  L158              Benchmark]: Witness Printer took 4.47ms. Allocated memory is still 151.0MB. Free memory is still 39.6MB. There was no memory consumed. Max. memory is 16.1GB.
[2023-11-26 11:50:17,643 INFO  L338   ainManager$Toolchain]: #######################  End [Toolchain 1] #######################
 --- Results ---
 * Results from de.uni_freiburg.informatik.ultimate.core:
  - StatisticsResult: Toolchain Benchmarks
    Benchmark results are:
 * CDTParser took 0.29ms. Allocated memory is still 151.0MB. Free memory was 122.7MB in the beginning and 122.5MB in the end (delta: 176.2kB). There was no memory consumed. Max. memory is 16.1GB.
 * CACSL2BoogieTranslator took 444.85ms. Allocated memory is still 151.0MB. Free memory was 122.2MB in the beginning and 102.3MB in the end (delta: 19.9MB). Peak memory consumption was 18.9MB. Max. memory is 16.1GB.
 * Boogie Procedure Inliner took 87.91ms. Allocated memory is still 151.0MB. Free memory was 102.3MB in the beginning and 97.6MB in the end (delta: 4.7MB). Peak memory consumption was 6.3MB. Max. memory is 16.1GB.
 * Boogie Preprocessor took 154.21ms. Allocated memory is still 151.0MB. Free memory was 97.6MB in the beginning and 92.9MB in the end (delta: 4.7MB). Peak memory consumption was 4.2MB. Max. memory is 16.1GB.
 * RCFGBuilder took 874.79ms. Allocated memory is still 151.0MB. Free memory was 92.9MB in the beginning and 62.5MB in the end (delta: 30.4MB). Peak memory consumption was 29.4MB. Max. memory is 16.1GB.
 * TraceAbstraction took 1066.09ms. Allocated memory is still 151.0MB. Free memory was 61.9MB in the beginning and 40.4MB in the end (delta: 21.5MB). Peak memory consumption was 19.9MB. Max. memory is 16.1GB.
 * Witness Printer took 4.47ms. Allocated memory is still 151.0MB. Free memory is still 39.6MB. There was no memory consumed. Max. memory is 16.1GB.
 * Results from de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator:
  - GenericResult: Unfinished Backtranslation
    Unfinished Backtranslation: IdentifierExpression #t~ret6 could not be translated
  - GenericResult: Unfinished Backtranslation
    Unfinished Backtranslation: IdentifierExpression #t~ret8 could not be translated
  - GenericResult: Unfinished Backtranslation
    Unfinished Backtranslation: IdentifierExpression #t~ret11 could not be translated
  - GenericResult: Unfinished Backtranslation
    The program execution was not completely translated back.
 * 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 156, overapproximation of to_real at line 122. 
Possible FailurePath: 
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,



WARNING: YOUR LOGFILE WAS TOO LONG, SOME LINES IN THE MIDDLE WERE REMOVED.



  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L20-L112]              const double T[362] = {
  0.00000000000000, 0.01745240643728, 0.03489949670250, 0.05233595624294,
  0.06975647374413, 0.08715574274766, 0.10452846326765, 0.12186934340515,
  0.13917310096007, 0.15643446504023, 0.17364817766693, 0.19080899537654,
  0.20791169081776, 0.22495105434386, 0.24192189559967, 0.25881904510252,
  0.27563735581700, 0.29237170472274, 0.30901699437495, 0.32556815445716,
  0.34202014332567, 0.35836794954530, 0.37460659341591, 0.39073112848927,
  0.40673664307580, 0.42261826174070, 0.43837114678908, 0.45399049973955,
  0.46947156278589, 0.48480962024634, 0.50000000000000, 0.51503807491005,
  0.52991926423320, 0.54463903501503, 0.55919290347075, 0.57357643635105,
  0.58778525229247, 0.60181502315205, 0.61566147532566, 0.62932039104984,
  0.64278760968654, 0.65605902899051, 0.66913060635886, 0.68199836006250,
  0.69465837045900, 0.70710678118655, 0.71933980033865, 0.73135370161917,
  0.74314482547739, 0.75470958022277, 0.76604444311898, 0.77714596145697,
  0.78801075360672, 0.79863551004729, 0.80901699437495, 0.81915204428899,
  0.82903757255504, 0.83867056794542, 0.84804809615643, 0.85716730070211,
  0.86602540378444, 0.87461970713940, 0.88294759285893, 0.89100652418837,
  0.89879404629917, 0.90630778703665, 0.91354545764260, 0.92050485345244,
  0.92718385456679, 0.93358042649720, 0.93969262078591, 0.94551857559932,
  0.95105651629515, 0.95630475596304, 0.96126169593832, 0.96592582628907,
  0.97029572627600, 0.97437006478524, 0.97814760073381, 0.98162718344766,
  0.98480775301221, 0.98768834059514, 0.99026806874157, 0.99254615164132,
  0.99452189536827, 0.99619469809175, 0.99756405025982, 0.99862953475457,
  0.99939082701910, 0.99984769515639, 1.00000000000000, 0.99984769515639,
  0.99939082701910, 0.99862953475457, 0.99756405025982, 0.99619469809175,
  0.99452189536827, 0.99254615164132, 0.99026806874157, 0.98768834059514,
  0.98480775301221, 0.98162718344766, 0.97814760073381, 0.97437006478524,
  0.97029572627600, 0.96592582628907, 0.96126169593832, 0.95630475596304,
  0.95105651629515, 0.94551857559932, 0.93969262078591, 0.93358042649720,
  0.92718385456679, 0.92050485345244, 0.91354545764260, 0.90630778703665,
  0.89879404629917, 0.89100652418837, 0.88294759285893, 0.87461970713940,
  0.86602540378444, 0.85716730070211, 0.84804809615643, 0.83867056794542,
  0.82903757255504, 0.81915204428899, 0.80901699437495, 0.79863551004729,
  0.78801075360672, 0.77714596145697, 0.76604444311898, 0.75470958022277,
  0.74314482547739, 0.73135370161917, 0.71933980033865, 0.70710678118655,
  0.69465837045900, 0.68199836006250, 0.66913060635886, 0.65605902899051,
  0.64278760968654, 0.62932039104984, 0.61566147532566, 0.60181502315205,
  0.58778525229247, 0.57357643635105, 0.55919290347075, 0.54463903501503,
  0.52991926423320, 0.51503807491005, 0.50000000000000, 0.48480962024634,
  0.46947156278589, 0.45399049973955, 0.43837114678908, 0.42261826174070,
  0.40673664307580, 0.39073112848927, 0.37460659341591, 0.35836794954530,
  0.34202014332567, 0.32556815445716, 0.30901699437495, 0.29237170472274,
  0.27563735581700, 0.25881904510252, 0.24192189559967, 0.22495105434387,
  0.20791169081776, 0.19080899537654, 0.17364817766693, 0.15643446504023,
  0.13917310096007, 0.12186934340515, 0.10452846326765, 0.08715574274766,
  0.06975647374413, 0.05233595624294, 0.03489949670250, 0.01745240643728,
  0.00000000000000, -0.01745240643728, -0.03489949670250, -0.05233595624294,
  -0.06975647374412, -0.08715574274766, -0.10452846326765, -0.12186934340515,
  -0.13917310096007, -0.15643446504023, -0.17364817766693, -0.19080899537654,
  -0.20791169081776, -0.22495105434386, -0.24192189559967, -0.25881904510252,
  -0.27563735581700, -0.29237170472274, -0.30901699437495, -0.32556815445716,
  -0.34202014332567, -0.35836794954530, -0.37460659341591, -0.39073112848927,
  -0.40673664307580, -0.42261826174070, -0.43837114678908, -0.45399049973955,
  -0.46947156278589, -0.48480962024634, -0.50000000000000, -0.51503807491005,
  -0.52991926423320, -0.54463903501503, -0.55919290347075, -0.57357643635105,
  -0.58778525229247, -0.60181502315205, -0.61566147532566, -0.62932039104984,
  -0.64278760968654, -0.65605902899051, -0.66913060635886, -0.68199836006250,
  -0.69465837045900, -0.70710678118655, -0.71933980033865, -0.73135370161917,
  -0.74314482547739, -0.75470958022277, -0.76604444311898, -0.77714596145697,
  -0.78801075360672, -0.79863551004729, -0.80901699437495, -0.81915204428899,
  -0.82903757255504, -0.83867056794542, -0.84804809615643, -0.85716730070211,
  -0.86602540378444, -0.87461970713940, -0.88294759285893, -0.89100652418837,
  -0.89879404629917, -0.90630778703665, -0.91354545764260, -0.92050485345244,
  -0.92718385456679, -0.93358042649720, -0.93969262078591, -0.94551857559932,
  -0.95105651629515, -0.95630475596304, -0.96126169593832, -0.96592582628907,
  -0.97029572627600, -0.97437006478524, -0.97814760073381, -0.98162718344766,
  -0.98480775301221, -0.98768834059514, -0.99026806874157, -0.99254615164132,
  -0.99452189536827, -0.99619469809175, -0.99756405025982, -0.99862953475457,
  -0.99939082701910, -0.99984769515639, -1.00000000000000, -0.99984769515639,
  -0.99939082701910, -0.99862953475457, -0.99756405025982, -0.99619469809175,
  -0.99452189536827, -0.99254615164132, -0.99026806874157, -0.98768834059514,
  -0.98480775301221, -0.98162718344766, -0.97814760073381, -0.97437006478524,
  -0.97029572627600, -0.96592582628907, -0.96126169593832, -0.95630475596304,
  -0.95105651629515, -0.94551857559932, -0.93969262078591, -0.93358042649720,
  -0.92718385456679, -0.92050485345244, -0.91354545764260, -0.90630778703665,
  -0.89879404629917, -0.89100652418837, -0.88294759285893, -0.87461970713940,
  -0.86602540378444, -0.85716730070211, -0.84804809615643, -0.83867056794542,
  -0.82903757255504, -0.81915204428899, -0.80901699437495, -0.79863551004729,
  -0.78801075360672, -0.77714596145697, -0.76604444311898, -0.75470958022277,
  -0.74314482547739, -0.73135370161917, -0.71933980033865, -0.70710678118655,
  -0.69465837045900, -0.68199836006250, -0.66913060635886, -0.65605902899051,
  -0.64278760968654, -0.62932039104984, -0.61566147532566, -0.60181502315205,
  -0.58778525229247, -0.57357643635105, -0.55919290347075, -0.54463903501503,
  -0.52991926423321, -0.51503807491005, -0.50000000000000, -0.48480962024634,
  -0.46947156278589, -0.45399049973955, -0.43837114678908, -0.42261826174070,
  -0.40673664307580, -0.39073112848927, -0.37460659341591, -0.35836794954530,
  -0.34202014332567, -0.32556815445716, -0.30901699437495, -0.29237170472274,
  -0.27563735581700, -0.25881904510252, -0.24192189559967, -0.22495105434387,
  -0.20791169081776, -0.19080899537654, -0.17364817766693, -0.15643446504023,
  -0.13917310096007, -0.12186934340515, -0.10452846326765, -0.08715574274766,
  -0.06975647374413, -0.05233595624294, -0.03489949670250, -0.01745240643728,
  0, 0
};
[L148]                  double a, aa, r;
[L150]                  a = -720
            VAL         [T={4:0}]
[L150]      COND TRUE   a <= 720
[L151]                  aa = __VERIFIER_nondet_double()
[L152]      CALL        assume_abort_if_not(aa >= a+0.1 && aa <= a+0.9)
[L15]       COND FALSE  !(!cond)
            VAL         [T={4:0}, \old(cond)=1, cond=1]
[L152]      RET         assume_abort_if_not(aa >= a+0.1 && aa <= a+0.9)
[L154]      CALL, EXPR  SIN(aa)
[L142]      COND FALSE  !(x<0)
            VAL         [T={4:0}, \old(x)=2902, x=2902]
[L143]      CALL, EXPR  SIN_POS(x)
            VAL         [T={4:0}, \old(x)=2902]
[L136]      COND TRUE   x>180
            VAL         [T={4:0}, \old(x)=2902, x=2902]
[L136]      CALL, EXPR  SIN_180(x-360.*(int)((x+180.)/360.))
            VAL         [T={4:0}]
[L130]      COND TRUE   x<0
            VAL         [T={4:0}, \old(x)=2899, x=2899]
[L130]      CALL, EXPR  SIN_0_180(-x)
            VAL         [T={4:0}]
[L117]                  double dx, i_dx, v_inf;
[L118]                  double v_sup;
[L119]                  int i;
[L120]                  dx = 2*x
[L121]                  i = dx
[L122]                  i_dx = i
[L123]      EXPR        T[i]
[L123]                  v_inf = T[i]
[L124]      EXPR        T[i+1]
[L124]                  v_sup = T[i+1]
[L125]                  return v_inf + (dx - i_dx) * (v_sup - v_inf);
[L130]      RET, EXPR   SIN_0_180(-x)
            VAL         [T={4:0}, \old(x)=2899, x=2899]
[L130]                  return -SIN_0_180(-x);
[L136]      RET, EXPR   SIN_180(x-360.*(int)((x+180.)/360.))
            VAL         [T={4:0}, \old(x)=2902, x=2902]
[L136]                  return SIN_180(x-360.*(int)((x+180.)/360.));
[L143]      RET, EXPR   SIN_POS(x)
            VAL         [T={4:0}, \old(x)=2902, x=2902]
[L143]                  return SIN_POS(x);
[L154]      RET, EXPR   SIN(aa)
[L154]                  r = SIN(aa)
[L156]      CALL        __VERIFIER_assert(r >= -1.1 && r <= 1.1)
[L17]       COND TRUE   !(cond)
            VAL         [T={4:0}, \old(cond)=0, cond=0]
[L17]                   reach_error()
            VAL         [T={4:0}, \old(cond)=0, cond=0]

  - StatisticsResult: Ultimate Automizer benchmark data
    CFG has 4 procedures, 34 locations, 1 error locations. Started 1 CEGAR loops. OverallTime: 0.9s, OverallIterations: 2, TraceHistogramMax: 1, PathProgramHistogramMax: 1, EmptinessCheckTime: 0.0s, AutomataDifference: 0.1s, DeadEndRemovalTime: 0.0s, HoareAnnotationTime: 0.0s, InitialAbstractionConstructionTime: 0.0s, HoareTripleCheckerStatistics: 0 mSolverCounterUnknown, 0 SdHoareTripleChecker+Valid, 0.0s IncrementalHoareTripleChecker+Time, 0 mSdLazyCounter, 0 mSDsluCounter, 36 SdHoareTripleChecker+Invalid, 0.0s Time, 0 mProtectedAction, 0 SdHoareTripleChecker+Unchecked, 0 IncrementalHoareTripleChecker+Unchecked, 0 mSDsCounter, 0 IncrementalHoareTripleChecker+Valid, 0 mProtectedPredicate, 4 IncrementalHoareTripleChecker+Invalid, 4 SdHoareTripleChecker+Unknown, 0 mSolverCounterNotChecked, 0 mSolverCounterUnsat, 36 mSDtfsCounter, 4 mSolverCounterSat, 0.0s SdHoareTripleChecker+Time, 0 IncrementalHoareTripleChecker+Unknown, PredicateUnifierStatistics: 0 DeclaredPredicates, 8 GetRequests, 8 SyntacticMatches, 0 SemanticMatches, 0 ConstructedPredicates, 0 IntricatePredicates, 0 DeprecatedPredicates, 0 ImplicationChecksByTransitivity, 0.0s Time, 0.0s BasicInterpolantAutomatonTime, BiggestAbstraction: size=34occurred in iteration=0, InterpolantAutomatonStates: 2, traceCheckStatistics: No data available, InterpolantConsolidationStatistics: No data available, PathInvariantsStatistics: No data available, 0/0 InterpolantCoveringCapability, TotalInterpolationStatistics: No data available, 0.0s DumpTime, AutomataMinimizationStatistics: 0.0s AutomataMinimizationTime, 1 MinimizatonAttempts, 0 StatesRemovedByMinimization, 0 NontrivialMinimizations, HoareAnnotationStatistics: No data available, RefinementEngineStatistics: TRACE_CHECK: 0.0s SsaConstructionTime, 0.2s SatisfiabilityAnalysisTime, 0.2s InterpolantComputationTime, 48 NumberOfCodeBlocks, 48 NumberOfCodeBlocksAsserted, 2 NumberOfCheckSat, 23 ConstructedInterpolants, 0 QuantifiedInterpolants, 23 SizeOfPredicates, 0 NumberOfNonLiveVariables, 0 ConjunctsInSsa, 0 ConjunctsInUnsatCore, 1 InterpolantComputations, 1 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
[2023-11-26 11:50:18,188 INFO  L540       MonitoredProcess]: [MP /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (1)] Forceful destruction successful, 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: /usr/lib/jvm/java-1.11.0-openjdk-amd64/bin/java -Dosgi.configuration.area=/tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/data/config -Xmx15G -Xms4m -jar /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/plugins/org.eclipse.equinox.launcher_1.5.800.v20200727-1323.jar -data @noDefault -ultimatedata /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/data -tc /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/config/AutomizerReach.xml -i ../../sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c -s /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/config/svcomp-Reach-32bit-Automizer_Bitvector.epf --cacsl2boogietranslator.entry.function main --witnessprinter.witness.directory /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme --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 5423b27090f3cf0121cc8887f927af7adf1f36a8d0cd9b6a020d1176d1eeff74
--- Real Ultimate output ---
This is Ultimate 0.2.4-dev-0e0057c
[2023-11-26 11:50:20,995 INFO  L188        SettingsManager]: Resetting all preferences to default values...
[2023-11-26 11:50:21,134 INFO  L114        SettingsManager]: Loading settings from /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/config/svcomp-Reach-32bit-Automizer_Bitvector.epf
[2023-11-26 11:50:21,143 WARN  L101        SettingsManager]: Preference file contains the following unknown settings:
[2023-11-26 11:50:21,143 WARN  L103        SettingsManager]:   * de.uni_freiburg.informatik.ultimate.core.Log level for class
[2023-11-26 11:50:21,192 INFO  L130        SettingsManager]: Preferences different from defaults after loading the file:
[2023-11-26 11:50:21,192 INFO  L151        SettingsManager]: Preferences of UltimateCore differ from their defaults:
[2023-11-26 11:50:21,193 INFO  L153        SettingsManager]:  * Log level for class=de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher=ERROR;
[2023-11-26 11:50:21,194 INFO  L151        SettingsManager]: Preferences of Boogie Preprocessor differ from their defaults:
[2023-11-26 11:50:21,199 INFO  L153        SettingsManager]:  * Use memory slicer=true
[2023-11-26 11:50:21,200 INFO  L151        SettingsManager]: Preferences of Boogie Procedure Inliner differ from their defaults:
[2023-11-26 11:50:21,200 INFO  L153        SettingsManager]:  * Ignore calls to procedures called more than once=ONLY_FOR_SEQUENTIAL_PROGRAMS
[2023-11-26 11:50:21,201 INFO  L151        SettingsManager]: Preferences of BlockEncodingV2 differ from their defaults:
[2023-11-26 11:50:21,203 INFO  L153        SettingsManager]:  * Create parallel compositions if possible=false
[2023-11-26 11:50:21,203 INFO  L153        SettingsManager]:  * Use SBE=true
[2023-11-26 11:50:21,204 INFO  L151        SettingsManager]: Preferences of CACSL2BoogieTranslator differ from their defaults:
[2023-11-26 11:50:21,204 INFO  L153        SettingsManager]:  * Pointer base address is valid at dereference=IGNORE
[2023-11-26 11:50:21,205 INFO  L153        SettingsManager]:  * sizeof long=4
[2023-11-26 11:50:21,205 INFO  L153        SettingsManager]:  * sizeof POINTER=4
[2023-11-26 11:50:21,206 INFO  L153        SettingsManager]:  * Check division by zero=IGNORE
[2023-11-26 11:50:21,207 INFO  L153        SettingsManager]:  * Pointer to allocated memory at dereference=IGNORE
[2023-11-26 11:50:21,207 INFO  L153        SettingsManager]:  * If two pointers are subtracted or compared they have the same base address=IGNORE
[2023-11-26 11:50:21,208 INFO  L153        SettingsManager]:  * Check array bounds for arrays that are off heap=IGNORE
[2023-11-26 11:50:21,208 INFO  L153        SettingsManager]:  * Adapt memory model on pointer casts if necessary=true
[2023-11-26 11:50:21,208 INFO  L153        SettingsManager]:  * Use bitvectors instead of ints=true
[2023-11-26 11:50:21,209 INFO  L153        SettingsManager]:  * Memory model=HoenickeLindenmann_4ByteResolution
[2023-11-26 11:50:21,209 INFO  L153        SettingsManager]:  * sizeof long double=12
[2023-11-26 11:50:21,209 INFO  L153        SettingsManager]:  * Check if freed pointer was valid=false
[2023-11-26 11:50:21,210 INFO  L153        SettingsManager]:  * Use constant arrays=true
[2023-11-26 11:50:21,210 INFO  L151        SettingsManager]: Preferences of RCFGBuilder differ from their defaults:
[2023-11-26 11:50:21,212 INFO  L153        SettingsManager]:  * Size of a code block=SequenceOfStatements
[2023-11-26 11:50:21,212 INFO  L153        SettingsManager]:  * Only consider context switches at boundaries of atomic blocks=true
[2023-11-26 11:50:21,212 INFO  L153        SettingsManager]:  * SMT solver=External_DefaultMode
[2023-11-26 11:50:21,212 INFO  L153        SettingsManager]:  * Command for external solver=z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2023-11-26 11:50:21,213 INFO  L151        SettingsManager]: Preferences of TraceAbstraction differ from their defaults:
[2023-11-26 11:50:21,213 INFO  L153        SettingsManager]:  * Compute Interpolants along a Counterexample=FPandBP
[2023-11-26 11:50:21,214 INFO  L153        SettingsManager]:  * Positions where we compute the Hoare Annotation=LoopHeads
[2023-11-26 11:50:21,214 INFO  L153        SettingsManager]:  * Trace refinement strategy=WOLF
[2023-11-26 11:50:21,215 INFO  L153        SettingsManager]:  * Command for external solver=cvc4 --incremental --print-success --lang smt
[2023-11-26 11:50:21,215 INFO  L153        SettingsManager]:  * Apply one-shot large block encoding in concurrent analysis=false
[2023-11-26 11:50:21,215 INFO  L153        SettingsManager]:  * Automaton type used in concurrency analysis=PETRI_NET
[2023-11-26 11:50:21,215 INFO  L153        SettingsManager]:  * Compute Hoare Annotation of negated interpolant automaton, abstraction and CFG=true
[2023-11-26 11:50:21,216 INFO  L153        SettingsManager]:  * Order on configurations for Petri net unfoldings=DBO
[2023-11-26 11:50:21,216 INFO  L153        SettingsManager]:  * SMT solver=External_ModelsAndUnsatCoreMode
[2023-11-26 11:50:21,216 INFO  L153        SettingsManager]:  * Logic for external solver=AUFBV
[2023-11-26 11:50:21,217 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:/tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/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 -> /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme
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 -> 5423b27090f3cf0121cc8887f927af7adf1f36a8d0cd9b6a020d1176d1eeff74
[2023-11-26 11:50:21,643 INFO  L75    nceAwareModelManager]: Repository-Root is: /tmp
[2023-11-26 11:50:21,674 INFO  L261   ainManager$Toolchain]: [Toolchain 1]: Applicable parser(s) successfully (re)initialized
[2023-11-26 11:50:21,677 INFO  L217   ainManager$Toolchain]: [Toolchain 1]: Toolchain selected.
[2023-11-26 11:50:21,678 INFO  L270        PluginConnector]: Initializing CDTParser...
[2023-11-26 11:50:21,679 INFO  L274        PluginConnector]: CDTParser initialized
[2023-11-26 11:50:21,681 INFO  L431   ainManager$Toolchain]: [Toolchain 1]: Parsing single file: /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/../../sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c
[2023-11-26 11:50:24,746 INFO  L533              CDTParser]: Created temporary CDT project at NULL
[2023-11-26 11:50:25,128 INFO  L384              CDTParser]: Found 1 translation units.
[2023-11-26 11:50:25,129 INFO  L180              CDTParser]: Scanning /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c
[2023-11-26 11:50:25,139 INFO  L427              CDTParser]: About to delete temporary CDT project at /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/data/3efe31f18/c14ee8ce8c7f4e59b95d547954018c56/FLAG975ecf6fc
[2023-11-26 11:50:25,155 INFO  L435              CDTParser]: Successfully deleted /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/data/3efe31f18/c14ee8ce8c7f4e59b95d547954018c56
[2023-11-26 11:50:25,157 INFO  L299   ainManager$Toolchain]: ####################### [Toolchain 1] #######################
[2023-11-26 11:50:25,159 INFO  L133        ToolchainWalker]: Walking toolchain with 6 elements.
[2023-11-26 11:50:25,160 INFO  L112        PluginConnector]: ------------------------CACSL2BoogieTranslator----------------------------
[2023-11-26 11:50:25,161 INFO  L270        PluginConnector]: Initializing CACSL2BoogieTranslator...
[2023-11-26 11:50:25,165 INFO  L274        PluginConnector]: CACSL2BoogieTranslator initialized
[2023-11-26 11:50:25,166 INFO  L184        PluginConnector]: Executing the observer ACSLObjectContainerObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:25,167 INFO  L204        PluginConnector]: Invalid model from CACSL2BoogieTranslator for observer de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator.ACSLObjectContainerObserver@48319a64 and model type de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25, skipping insertion in model container
[2023-11-26 11:50:25,167 INFO  L184        PluginConnector]: Executing the observer CACSL2BoogieTranslatorObserver from plugin CACSL2BoogieTranslator for "CDTParser AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:25,195 INFO  L177         MainTranslator]: Built tables and reachable declarations
[2023-11-26 11:50:25,386 WARN  L240   ndardFunctionHandler]: Function reach_error is already implemented but we override the implementation for the call at /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c[686,699]
[2023-11-26 11:50:25,462 INFO  L209          PostProcessor]: Analyzing one entry point: main
[2023-11-26 11:50:25,581 INFO  L202         MainTranslator]: Completed pre-run
[2023-11-26 11:50:25,599 WARN  L240   ndardFunctionHandler]: Function reach_error is already implemented but we override the implementation for the call at /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/sv-benchmarks/c/float-benchs/sin_interpolated_smallrange.c[686,699]
[2023-11-26 11:50:25,637 INFO  L209          PostProcessor]: Analyzing one entry point: main
[2023-11-26 11:50:25,744 INFO  L206         MainTranslator]: Completed translation
[2023-11-26 11:50:25,745 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25 WrapperNode
[2023-11-26 11:50:25,745 INFO  L131        PluginConnector]: ------------------------ END CACSL2BoogieTranslator----------------------------
[2023-11-26 11:50:25,747 INFO  L112        PluginConnector]: ------------------------Boogie Procedure Inliner----------------------------
[2023-11-26 11:50:25,747 INFO  L270        PluginConnector]: Initializing Boogie Procedure Inliner...
[2023-11-26 11:50:25,748 INFO  L274        PluginConnector]: Boogie Procedure Inliner initialized
[2023-11-26 11:50:25,756 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:25,793 INFO  L184        PluginConnector]: Executing the observer Inliner from plugin Boogie Procedure Inliner for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:25,876 INFO  L138                Inliner]: procedures = 22, calls = 381, calls flagged for inlining = 5, calls inlined = 5, statements flattened = 414
[2023-11-26 11:50:25,876 INFO  L131        PluginConnector]: ------------------------ END Boogie Procedure Inliner----------------------------
[2023-11-26 11:50:25,877 INFO  L112        PluginConnector]: ------------------------Boogie Preprocessor----------------------------
[2023-11-26 11:50:25,878 INFO  L270        PluginConnector]: Initializing Boogie Preprocessor...
[2023-11-26 11:50:25,878 INFO  L274        PluginConnector]: Boogie Preprocessor initialized
[2023-11-26 11:50:25,890 INFO  L184        PluginConnector]: Executing the observer EnsureBoogieModelObserver from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:25,890 INFO  L184        PluginConnector]: Executing the observer TypeChecker from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:25,915 INFO  L184        PluginConnector]: Executing the observer MemorySlicer from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:25,947 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].
[2023-11-26 11:50:25,956 INFO  L184        PluginConnector]: Executing the observer ConstExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:25,956 INFO  L184        PluginConnector]: Executing the observer StructExpander from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:26,006 INFO  L184        PluginConnector]: Executing the observer UnstructureCode from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:26,013 INFO  L184        PluginConnector]: Executing the observer FunctionInliner from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:26,025 INFO  L184        PluginConnector]: Executing the observer LTLStepAnnotator from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:26,043 INFO  L184        PluginConnector]: Executing the observer BoogieSymbolTableConstructor from plugin Boogie Preprocessor for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:26,051 INFO  L131        PluginConnector]: ------------------------ END Boogie Preprocessor----------------------------
[2023-11-26 11:50:26,052 INFO  L112        PluginConnector]: ------------------------RCFGBuilder----------------------------
[2023-11-26 11:50:26,052 INFO  L270        PluginConnector]: Initializing RCFGBuilder...
[2023-11-26 11:50:26,052 INFO  L274        PluginConnector]: RCFGBuilder initialized
[2023-11-26 11:50:26,058 INFO  L184        PluginConnector]: Executing the observer RCFGBuilderObserver from plugin RCFGBuilder for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (1/1) ...
[2023-11-26 11:50:26,065 INFO  L173          SolverBuilder]: Constructing external solver with command: z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000
[2023-11-26 11:50:26,078 INFO  L189       MonitoredProcess]: No working directory specified, using /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/z3
[2023-11-26 11:50:26,107 INFO  L229       MonitoredProcess]: Starting monitored process 1 with /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (exit command is (exit), workingDir is null)
[2023-11-26 11:50:26,141 INFO  L327       MonitoredProcess]: [MP /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/z3 SMTLIB2_COMPLIANT=true -memory:2024 -smt2 -in -t:4000 (1)] Waiting until timeout for monitored process
[2023-11-26 11:50:26,153 INFO  L130     BoogieDeclarations]: Found specification of procedure #Ultimate.allocInit
[2023-11-26 11:50:26,153 INFO  L130     BoogieDeclarations]: Found specification of procedure read~intFLOATTYPE8#0
[2023-11-26 11:50:26,154 INFO  L130     BoogieDeclarations]: Found specification of procedure read~intFLOATTYPE8#1
[2023-11-26 11:50:26,154 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_POS
[2023-11-26 11:50:26,155 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_POS
[2023-11-26 11:50:26,156 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intINTTYPE1#0
[2023-11-26 11:50:26,156 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intINTTYPE1#1
[2023-11-26 11:50:26,157 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_0_180
[2023-11-26 11:50:26,157 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_0_180
[2023-11-26 11:50:26,157 INFO  L130     BoogieDeclarations]: Found specification of procedure SIN_180
[2023-11-26 11:50:26,157 INFO  L138     BoogieDeclarations]: Found implementation of procedure SIN_180
[2023-11-26 11:50:26,157 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intFLOATTYPE8#0
[2023-11-26 11:50:26,157 INFO  L130     BoogieDeclarations]: Found specification of procedure write~init~intFLOATTYPE8#1
[2023-11-26 11:50:26,158 INFO  L130     BoogieDeclarations]: Found specification of procedure ULTIMATE.start
[2023-11-26 11:50:26,158 INFO  L138     BoogieDeclarations]: Found implementation of procedure ULTIMATE.start
[2023-11-26 11:50:26,289 INFO  L241             CfgBuilder]: Building ICFG
[2023-11-26 11:50:26,292 INFO  L267             CfgBuilder]: Building CFG for each procedure with an implementation
[2023-11-26 11:50:32,557 INFO  L282             CfgBuilder]: Performing block encoding
[2023-11-26 11:50:32,991 INFO  L304             CfgBuilder]: Using the 1 location(s) as analysis (start of procedure ULTIMATE.start)
[2023-11-26 11:50:32,991 INFO  L309             CfgBuilder]: Removed 1 assume(true) statements.
[2023-11-26 11:50:32,992 INFO  L201        PluginConnector]: Adding new model de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 26.11 11:50:32 BoogieIcfgContainer
[2023-11-26 11:50:32,992 INFO  L131        PluginConnector]: ------------------------ END RCFGBuilder----------------------------
[2023-11-26 11:50:32,995 INFO  L112        PluginConnector]: ------------------------TraceAbstraction----------------------------
[2023-11-26 11:50:32,995 INFO  L270        PluginConnector]: Initializing TraceAbstraction...
[2023-11-26 11:50:32,999 INFO  L274        PluginConnector]: TraceAbstraction initialized
[2023-11-26 11:50:32,999 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "CDTParser AST 26.11 11:50:25" (1/3) ...
[2023-11-26 11:50:33,001 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@7c41c18a and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 26.11 11:50:33, skipping insertion in model container
[2023-11-26 11:50:33,001 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.cacsl2boogietranslator AST 26.11 11:50:25" (2/3) ...
[2023-11-26 11:50:33,004 INFO  L204        PluginConnector]: Invalid model from TraceAbstraction for observer de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction.TraceAbstractionObserver@7c41c18a and model type de.uni_freiburg.informatik.ultimate.plugins.generator.traceabstraction AST 26.11 11:50:33, skipping insertion in model container
[2023-11-26 11:50:33,004 INFO  L184        PluginConnector]: Executing the observer TraceAbstractionObserver from plugin TraceAbstraction for "de.uni_freiburg.informatik.ultimate.plugins.generator.rcfgbuilder CFG 26.11 11:50:32" (3/3) ...
[2023-11-26 11:50:33,006 INFO  L112   eAbstractionObserver]: Analyzing ICFG sin_interpolated_smallrange.c
[2023-11-26 11:50:33,027 INFO  L203   ceAbstractionStarter]: Automizer settings: Hoare:true NWA Interpolation:FPandBP Determinization: PREDICATE_ABSTRACTION
[2023-11-26 11:50:33,028 INFO  L162   ceAbstractionStarter]: Applying trace abstraction to program that has 1 error locations.
[2023-11-26 11:50:33,091 INFO  L356      AbstractCegarLoop]: ======== Iteration 0 == of CEGAR loop == AllErrorsAtOnce ========
[2023-11-26 11:50:33,100 INFO  L357      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, mHoare=true, 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;@e3a1522, mLbeIndependenceSettings=[IndependenceType=SEMANTIC, AbstractionType=NONE, UseConditional=false, UseSemiCommutativity=true, Solver=Z3, SolverTimeout=1000ms]
[2023-11-26 11:50:33,100 INFO  L358      AbstractCegarLoop]: Starting to check reachability of 1 error locations.
[2023-11-26 11:50:33,104 INFO  L276                IsEmpty]: Start isEmpty. Operand  has 34 states, 23 states have (on average 1.3478260869565217) internal successors, (31), 24 states have internal predecessors, (31), 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)
[2023-11-26 11:50:33,115 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 25
[2023-11-26 11:50:33,115 INFO  L187           NwaCegarLoop]: Found error trace
[2023-11-26 11:50:33,121 INFO  L195           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, 1]
[2023-11-26 11:50:33,122 INFO  L420      AbstractCegarLoop]: === Iteration 1 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2023-11-26 11:50:33,129 INFO  L160       PredicateUnifier]: Initialized classic predicate unifier
[2023-11-26 11:50:33,130 INFO  L85        PathProgramCache]: Analyzing trace with hash 85631131, now seen corresponding path program 1 times
[2023-11-26 11:50:33,154 INFO  L118   FreeRefinementEngine]: Executing refinement strategy WOLF
[2023-11-26 11:50:33,155 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleMathsat [269766268]
[2023-11-26 11:50:33,155 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2023-11-26 11:50:33,156 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
[2023-11-26 11:50:33,156 INFO  L189       MonitoredProcess]: No working directory specified, using /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/mathsat
[2023-11-26 11:50:33,161 INFO  L229       MonitoredProcess]: Starting monitored process 2 with /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/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)
[2023-11-26 11:50:33,217 INFO  L327       MonitoredProcess]: [MP /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/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
[2023-11-26 11:50:36,880 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2023-11-26 11:50:37,131 INFO  L262         TraceCheckSpWp]: Trace formula consists of 1144 conjuncts, 1 conjunts are in the unsatisfiable core
[2023-11-26 11:50:37,137 INFO  L285         TraceCheckSpWp]: Computing forward predicates...
[2023-11-26 11:50:37,161 INFO  L134       CoverageAnalysis]: Checked inductivity of 0 backedges. 0 proven. 0 refuted. 0 times theorem prover too weak. 0 trivial. 0 not checked.
[2023-11-26 11:50:37,161 INFO  L323         TraceCheckSpWp]: Omiting computation of backward sequence because forward sequence was already perfect
[2023-11-26 11:50:37,162 INFO  L136   FreeRefinementEngine]: Strategy WOLF found an infeasible trace
[2023-11-26 11:50:37,163 INFO  L334   FreeRefinementEngine]: Using interpolant generator IpTcStrategyModuleMathsat [269766268]
[2023-11-26 11:50:37,164 INFO  L158   FreeRefinementEngine]: IpTcStrategyModuleMathsat [269766268] provided 1 perfect and 0 imperfect interpolant sequences
[2023-11-26 11:50:37,164 INFO  L185   FreeRefinementEngine]: Found 1 perfect and 0 imperfect interpolant sequences.
[2023-11-26 11:50:37,165 INFO  L198   FreeRefinementEngine]: Number of different interpolants: perfect sequences [2] imperfect sequences [] total 2
[2023-11-26 11:50:37,167 INFO  L121   tionRefinementEngine]: Using interpolant automaton builder IpAbStrategyModuleStraightlineAll [940682237]
[2023-11-26 11:50:37,168 INFO  L85    oduleStraightlineAll]: Using 1 perfect interpolants to construct interpolant automaton
[2023-11-26 11:50:37,177 INFO  L571      AbstractCegarLoop]: INTERPOLANT automaton has 2 states
[2023-11-26 11:50:37,177 INFO  L100   FreeRefinementEngine]: Using predicate unifier PredicateUnifier provided by strategy WOLF
[2023-11-26 11:50:37,215 INFO  L143   InterpolantAutomaton]: Constructing interpolant automaton starting with 2 interpolants.
[2023-11-26 11:50:37,215 INFO  L145   InterpolantAutomaton]: CoverageRelationStatistics Valid=1, Invalid=1, Unknown=0, NotChecked=0, Total=2
[2023-11-26 11:50:37,218 INFO  L87              Difference]: Start difference. First operand  has 34 states, 23 states have (on average 1.3478260869565217) internal successors, (31), 24 states have internal predecessors, (31), 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) Second operand  has 2 states, 2 states have (on average 9.0) internal successors, (18), 2 states have internal predecessors, (18), 1 states have call successors, (3), 1 states have call predecessors, (3), 1 states have return successors, (3), 1 states have call predecessors, (3), 1 states have call successors, (3)
[2023-11-26 11:50:41,787 WARN  L539   Checker$ProtectedHtc]: IncrementalHoareTripleChecker took 4.26s for a HTC check with result UNKNOWN. Formula has sorts [Array, Bool, FloatingPoint, RoundingMode, BitVec], hasArrays=true, hasNonlinArith=false, quantifiers []
[2023-11-26 11:50:42,024 INFO  L144             Difference]: Subtrahend was deterministic. Have not used determinization.
[2023-11-26 11:50:42,024 INFO  L93              Difference]: Finished difference Result 67 states and 85 transitions.
[2023-11-26 11:50:42,033 INFO  L141   InterpolantAutomaton]: Switched to read-only mode: deterministic interpolant automaton has 2 states. 
[2023-11-26 11:50:42,034 INFO  L78                 Accepts]: Start accepts. Automaton has  has 2 states, 2 states have (on average 9.0) internal successors, (18), 2 states have internal predecessors, (18), 1 states have call successors, (3), 1 states have call predecessors, (3), 1 states have return successors, (3), 1 states have call predecessors, (3), 1 states have call successors, (3) Word has length 24
[2023-11-26 11:50:42,034 INFO  L84                 Accepts]: Finished accepts. some prefix is accepted.
[2023-11-26 11:50:42,040 INFO  L225             Difference]: With dead ends: 67
[2023-11-26 11:50:42,040 INFO  L226             Difference]: Without dead ends: 32
[2023-11-26 11:50:42,043 INFO  L412           NwaCegarLoop]: 0 DeclaredPredicates, 23 GetRequests, 23 SyntacticMatches, 0 SemanticMatches, 0 ConstructedPredicates, 0 IntricatePredicates, 0 DeprecatedPredicates, 0 ImplicationChecksByTransitivity, 0.0s TimeCoverageRelationStatistics Valid=1, Invalid=1, Unknown=0, NotChecked=0, Total=2
[2023-11-26 11:50:42,047 INFO  L413           NwaCegarLoop]: 36 mSDtfsCounter, 0 mSDsluCounter, 0 mSDsCounter, 0 mSdLazyCounter, 3 mSolverCounterSat, 0 mSolverCounterUnsat, 1 mSolverCounterUnknown, 0 mSolverCounterNotChecked, 4.7s Time, 0 mProtectedPredicate, 0 mProtectedAction, 0 SdHoareTripleChecker+Valid, 36 SdHoareTripleChecker+Invalid, 4 SdHoareTripleChecker+Unknown, 0 SdHoareTripleChecker+Unchecked, 0.0s SdHoareTripleChecker+Time, 0 IncrementalHoareTripleChecker+Valid, 3 IncrementalHoareTripleChecker+Invalid, 1 IncrementalHoareTripleChecker+Unknown, 0 IncrementalHoareTripleChecker+Unchecked, 4.8s IncrementalHoareTripleChecker+Time
[2023-11-26 11:50:42,048 INFO  L414           NwaCegarLoop]: SdHoareTripleChecker [0 Valid, 36 Invalid, 4 Unknown, 0 Unchecked, 0.0s Time], IncrementalHoareTripleChecker [0 Valid, 3 Invalid, 1 Unknown, 0 Unchecked, 4.8s Time]
[2023-11-26 11:50:42,064 INFO  L82        GeneralOperation]: Start minimizeSevpa. Operand 32 states.
[2023-11-26 11:50:42,079 INFO  L88        GeneralOperation]: Finished minimizeSevpa. Reduced states from 32 to 32.
[2023-11-26 11:50:42,081 INFO  L82        GeneralOperation]: Start removeUnreachable. Operand  has 32 states, 22 states have (on average 1.1818181818181819) internal successors, (26), 22 states have internal predecessors, (26), 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)
[2023-11-26 11:50:42,082 INFO  L88        GeneralOperation]: Finished removeUnreachable. Reduced from 32 states to 32 states and 38 transitions.
[2023-11-26 11:50:42,084 INFO  L78                 Accepts]: Start accepts. Automaton has 32 states and 38 transitions. Word has length 24
[2023-11-26 11:50:42,084 INFO  L84                 Accepts]: Finished accepts. word is rejected.
[2023-11-26 11:50:42,084 INFO  L495      AbstractCegarLoop]: Abstraction has 32 states and 38 transitions.
[2023-11-26 11:50:42,085 INFO  L496      AbstractCegarLoop]: INTERPOLANT automaton has  has 2 states, 2 states have (on average 9.0) internal successors, (18), 2 states have internal predecessors, (18), 1 states have call successors, (3), 1 states have call predecessors, (3), 1 states have return successors, (3), 1 states have call predecessors, (3), 1 states have call successors, (3)
[2023-11-26 11:50:42,085 INFO  L276                IsEmpty]: Start isEmpty. Operand 32 states and 38 transitions.
[2023-11-26 11:50:42,087 INFO  L282                IsEmpty]: Finished isEmpty. Found accepting run of length 25
[2023-11-26 11:50:42,087 INFO  L187           NwaCegarLoop]: Found error trace
[2023-11-26 11:50:42,087 INFO  L195           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, 1]
[2023-11-26 11:50:42,163 INFO  L552       MonitoredProcess]: [MP /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3 (2)] Ended with exit code 0
[2023-11-26 11:50:42,288 WARN  L477      AbstractCegarLoop]: Destroyed unattended storables created during the last iteration: 2 /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/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
[2023-11-26 11:50:42,288 INFO  L420      AbstractCegarLoop]: === Iteration 2 === Targeting ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION === [ULTIMATE.startErr0ASSERT_VIOLATIONERROR_FUNCTION] ===
[2023-11-26 11:50:42,289 INFO  L160       PredicateUnifier]: Initialized classic predicate unifier
[2023-11-26 11:50:42,289 INFO  L85        PathProgramCache]: Analyzing trace with hash -668207011, now seen corresponding path program 1 times
[2023-11-26 11:50:42,292 INFO  L118   FreeRefinementEngine]: Executing refinement strategy WOLF
[2023-11-26 11:50:42,292 INFO  L334   FreeRefinementEngine]: Using trace check IpTcStrategyModuleMathsat [1838731602]
[2023-11-26 11:50:42,292 INFO  L95    rtionOrderModulation]: Keeping assertion order NOT_INCREMENTALLY
[2023-11-26 11:50:42,293 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
[2023-11-26 11:50:42,293 INFO  L189       MonitoredProcess]: No working directory specified, using /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/mathsat
[2023-11-26 11:50:42,294 INFO  L229       MonitoredProcess]: Starting monitored process 3 with /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/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)
[2023-11-26 11:50:42,335 INFO  L327       MonitoredProcess]: [MP /tmp/vcloud_worker_vcloud-master_on_vcloud-master/run_dir_c12e5e20-ef3c-4009-b088-320a22161087/bin/uautomizer-verify-VRDe98Ueme/mathsat -theory.fp.to_bv_overflow_mode=1 -theory.fp.minmax_zero_mode=4 -theory.bv.div_by_zero_mode=1 -unsat_core_generation=3 (3)] Waiting until timeout for monitored process
[2023-11-26 11:50:49,935 INFO  L136    AnnotateAndAsserter]: Conjunction of SSA is unsat
[2023-11-26 11:50:50,200 INFO  L262         TraceCheckSpWp]: Trace formula consists of 1144 conjuncts, 42 conjunts are in the unsatisfiable core
[2023-11-26 11:50:50,206 INFO  L285         TraceCheckSpWp]: Computing forward predicates...
[2023-11-26 11:51:11,322 WARN  L293               SmtUtils]: Spent 8.42s on a formula simplification that was a NOOP. DAG size: 38 (called from [L 731] de.uni_freiburg.informatik.ultimate.lib.smtlibutils.quantifier.QuantifierPusher.simplify)