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409 lines
56 KiB
C++
409 lines
56 KiB
C++
// (C) Copyright John Maddock 2006-7.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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static const boost::array<boost::array<typename table_type<T>::type, 4>, 400> assoc_legendre_p = {{
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{{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.264718532562255859375), SC_(0.018682285998021253444483874168352748715136623066073) }},
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{{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.67001712322235107421875), SC_(0.0085227010576716344744906184676725516467064196759033) }},
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{{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.91501367092132568359375), SC_(0.0013678553914178941694232605088191864494205442141689) }},
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{{ SC_(3.755727291107177734375), SC_(-3.0), SC_(0.93538987636566162109375), SC_(0.00092121779437596438014780141399846622556782069609554) }},
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{{ SC_(3.755727291107177734375), SC_(-2.0), SC_(-0.804919183254241943359375), SC_(-0.035427019537072229468317544697039851719910785732282) }},
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{{ SC_(3.755727291107177734375), SC_(-2.0), SC_(-0.62323606014251708984375), SC_(-0.047644590452413896385001513687947050090798484234256) }},
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{{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.62944734096527099609375), SC_(0.047507226872528274797147731134568104938153965122183) }},
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{{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.92977702617645263671875), SC_(0.015749804707019642230489140711548190498803023729124) }},
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{{ SC_(3.755727291107177734375), SC_(-2.0), SC_(0.98576259613037109375), SC_(0.0034836978383022116191949923980075709550874307751656) }},
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{{ SC_(3.755727291107177734375), SC_(-1.0), SC_(0.09376299381256103515625), SC_(-0.11897883801786023759113449248494493928619190467444) }},
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{{ SC_(3.755727291107177734375), SC_(0.0), SC_(-0.72904598712921142578125), SC_(0.12483445078630286253952851342405305778981983166886) }},
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{{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.0944411754608154296875), SC_(-0.13955592906053357908142302859499928047171124489978) }},
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{{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.826751708984375), SC_(0.1726224256643575927228084765374660491943359375) }},
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{{ SC_(3.755727291107177734375), SC_(0.0), SC_(0.99292266368865966796875), SC_(0.95791076106518834501582130387317692843396343960194) }},
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{{ SC_(3.755727291107177734375), SC_(1.0), SC_(-0.5579319000244140625), SC_(-0.69267329476836900305232758748436796165065650726706) }},
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{{ SC_(3.755727291107177734375), SC_(1.0), SC_(-0.38366591930389404296875), SC_(0.36569809882896106974883774476288881583212189972924) }},
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{{ SC_(3.755727291107177734375), SC_(2.0), SC_(-0.74602639675140380859375), SC_(-4.9623208282269009166469230084559050020232007227605) }},
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{{ SC_(3.755727291107177734375), SC_(2.0), SC_(-0.44300353527069091796875), SC_(-5.340947203111010720410977109344485835862315070699) }},
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{{ SC_(3.755727291107177734375), SC_(2.0), SC_(0.81158387660980224609375), SC_(4.1552884837362426955817673026802316904593226354336) }},
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{{ SC_(3.755727291107177734375), SC_(2.0), SC_(0.93773555755615234375), SC_(1.6970953962729668417983019956807311245938763022423) }},
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{{ SC_(4.285762786865234375), SC_(-4.0), SC_(0.0944411754608154296875), SC_(0.0025579199993109637443137263005669146428545187165902) }},
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{{ SC_(4.285762786865234375), SC_(-4.0), SC_(0.67001712322235107421875), SC_(0.00079084875024561627663099583678188315474519799498067) }},
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{{ SC_(4.285762786865234375), SC_(-3.0), SC_(-0.74602639675140380859375), SC_(-0.0045895703969571628891682136050294568676142831603226) }},
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{{ SC_(4.285762786865234375), SC_(-2.0), SC_(-0.62323606014251708984375), SC_(0.021901614369568242657323933337327101674854041794065) }},
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{{ SC_(4.285762786865234375), SC_(-2.0), SC_(0.62944734096527099609375), SC_(0.022308096300309799048219090710479861660073888191704) }},
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{{ SC_(4.285762786865234375), SC_(-2.0), SC_(0.93538987636566162109375), SC_(0.013350407227053037260147784930747976172856146131701) }},
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{{ SC_(4.285762786865234375), SC_(-1.0), SC_(0.91501367092132568359375), SC_(0.13200123550282267507521242420636682233158093275439) }},
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{{ SC_(4.285762786865234375), SC_(-1.0), SC_(0.98576259613037109375), SC_(0.07877427388685735435597041845896354141179322010808) }},
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{{ SC_(4.285762786865234375), SC_(0.0), SC_(-0.38366591930389404296875), SC_(-0.082202061657178565574671344721658600769778582062621) }},
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{{ SC_(4.285762786865234375), SC_(1.0), SC_(0.09376299381256103515625), SC_(0.68576243868873072515243076289551241703397054367008) }},
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{{ SC_(4.285762786865234375), SC_(1.0), SC_(0.264718532562255859375), SC_(1.6015108598580622790613880161520031562290080195803) }},
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{{ SC_(4.285762786865234375), SC_(1.0), SC_(0.826751708984375), SC_(-2.075091388628511047552411495370343087881224878243) }},
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{{ SC_(4.285762786865234375), SC_(1.0), SC_(0.92977702617645263671875), SC_(-2.6110232658679238686101145865940662146504977908866) }},
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{{ SC_(4.285762786865234375), SC_(1.0), SC_(0.99292266368865966796875), SC_(-1.1501152124516827856720730990547167000673318754544) }},
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{{ SC_(4.285762786865234375), SC_(3.0), SC_(-0.804919183254241943359375), SC_(17.658347776050435476592152301745513462355419797644) }},
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{{ SC_(4.285762786865234375), SC_(3.0), SC_(-0.72904598712921142578125), SC_(24.546943351788936569134344357322020563417724549234) }},
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{{ SC_(4.285762786865234375), SC_(3.0), SC_(-0.5579319000244140625), SC_(33.483200432942805434592337100676821594014587089232) }},
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{{ SC_(4.285762786865234375), SC_(4.0), SC_(-0.44300353527069091796875), SC_(67.831116663749312786686560206270714301013197988912) }},
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{{ SC_(4.285762786865234375), SC_(4.0), SC_(0.81158387660980224609375), SC_(12.23326322639646526677027003435192961976317891902) }},
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{{ SC_(4.285762786865234375), SC_(4.0), SC_(0.93773555755615234375), SC_(1.5284756464094009019523190775027909687425881068989) }},
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{{ SC_(4.43858623504638671875), SC_(-4.0), SC_(0.09376299381256103515625), SC_(0.0025585788865558103020054987182935328386974024573462) }},
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{{ SC_(4.43858623504638671875), SC_(-4.0), SC_(0.81158387660980224609375), SC_(0.00030340434589276947586235788775674428620444392160269) }},
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{{ SC_(4.43858623504638671875), SC_(-4.0), SC_(0.826751708984375), SC_(0.00026083492327811402025075290800337768359895562753081) }},
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{{ SC_(4.43858623504638671875), SC_(-4.0), SC_(0.92977702617645263671875), SC_(0.47823512832424889615550406883421003863012687163716e-4) }},
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{{ SC_(4.43858623504638671875), SC_(-3.0), SC_(-0.804919183254241943359375), SC_(-0.0035036404317560387850381254566955383853879801185802) }},
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{{ SC_(4.43858623504638671875), SC_(-3.0), SC_(-0.72904598712921142578125), SC_(-0.0048704252682120905891139572137543691594082786804035) }},
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{{ SC_(4.43858623504638671875), SC_(-3.0), SC_(-0.62323606014251708984375), SC_(-0.0062099464278749790063643151908339184429802189273533) }},
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{{ SC_(4.43858623504638671875), SC_(-3.0), SC_(0.93538987636566162109375), SC_(0.00086169779878718081099879281321850193219169946462828) }},
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{{ SC_(4.43858623504638671875), SC_(-2.0), SC_(-0.5579319000244140625), SC_(0.016916718454958990171262790356133102641009169353481) }},
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{{ SC_(4.43858623504638671875), SC_(-2.0), SC_(-0.44300353527069091796875), SC_(0.0062585992120013346073049856968548291009012658140108) }},
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{{ SC_(4.43858623504638671875), SC_(-2.0), SC_(0.91501367092132568359375), SC_(0.016480979075286992096829450389735978618066029926915) }},
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{{ SC_(4.43858623504638671875), SC_(-1.0), SC_(0.62944734096527099609375), SC_(-0.013852284088400384102197697049644481796357180917995) }},
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{{ SC_(4.43858623504638671875), SC_(0.0), SC_(-0.38366591930389404296875), SC_(-0.082202061657178565574671344721658600769778582062621) }},
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{{ SC_(4.43858623504638671875), SC_(0.0), SC_(0.0944411754608154296875), SC_(0.3419012769545217228869883142677928817338726938716) }},
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{{ SC_(4.43858623504638671875), SC_(0.0), SC_(0.67001712322235107421875), SC_(-0.42675937253158873957266351661277594541380955593248) }},
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{{ SC_(4.43858623504638671875), SC_(1.0), SC_(-0.74602639675140380859375), SC_(1.1126727867403958433914301847632907446425470781145) }},
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{{ SC_(4.43858623504638671875), SC_(1.0), SC_(0.93773555755615234375), SC_(-2.5694907092758592654019226620729417580286717814693) }},
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{{ SC_(4.43858623504638671875), SC_(2.0), SC_(0.264718532562255859375), SC_(-3.5532540894315570371583179746027713002035183960381) }},
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{{ SC_(4.43858623504638671875), SC_(2.0), SC_(0.99292266368865966796875), SC_(0.62426196438718111041026481024591411942721351148618) }},
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{{ SC_(4.43858623504638671875), SC_(4.0), SC_(0.98576259613037109375), SC_(0.083927746199061397527375080044175506771911288161903) }},
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{{ SC_(5.390875339508056640625), SC_(-5.0), SC_(0.0944411754608154296875), SC_(0.0002546487231919752178607492517299512129462633725364) }},
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{{ SC_(5.390875339508056640625), SC_(-5.0), SC_(0.264718532562255859375), SC_(0.00021716384956208715694799696662224323122616129459559) }},
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{{ SC_(5.390875339508056640625), SC_(-5.0), SC_(0.67001712322235107421875), SC_(0.58708312450036459613075249881849855560840725857318e-4) }},
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{{ SC_(5.390875339508056640625), SC_(-5.0), SC_(0.91501367092132568359375), SC_(0.27827305046113328781834314319875323548924440626817e-5) }},
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{{ SC_(5.390875339508056640625), SC_(-3.0), SC_(0.92977702617645263671875), SC_(0.00088084918348099199582932467310763476850348538284308) }},
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{{ SC_(5.390875339508056640625), SC_(-2.0), SC_(0.62944734096527099609375), SC_(0.0044802133341411818740038475673044511324305084281699) }},
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{{ SC_(5.390875339508056640625), SC_(-2.0), SC_(0.826751708984375), SC_(0.017179972428025654957727173029455910568258358850358) }},
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{{ SC_(5.390875339508056640625), SC_(-2.0), SC_(0.93773555755615234375), SC_(0.011582986702578200018657376926081178305253584288072) }},
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{{ SC_(5.390875339508056640625), SC_(-1.0), SC_(-0.804919183254241943359375), SC_(0.027614447937383812923403611365941023696827330290191) }},
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{{ SC_(5.390875339508056640625), SC_(-1.0), SC_(-0.74602639675140380859375), SC_(-0.011942526133146833219086796223309547055717483576189) }},
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{{ SC_(5.390875339508056640625), SC_(-1.0), SC_(-0.44300353527069091796875), SC_(-0.052598650339880048670991840817375710928478745804392) }},
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{{ SC_(5.390875339508056640625), SC_(-1.0), SC_(0.81158387660980224609375), SC_(0.032475028650926011657602131247192442876513897830463) }},
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{{ SC_(5.390875339508056640625), SC_(-1.0), SC_(0.98576259613037109375), SC_(0.075928872430285790876424723398166177311286253675933) }},
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{{ SC_(5.390875339508056640625), SC_(1.0), SC_(-0.5579319000244140625), SC_(2.0588360348849268576901634118752070496134490686058) }},
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{{ SC_(5.390875339508056640625), SC_(1.0), SC_(-0.38366591930389404296875), SC_(1.0488997903645254423314161051388628455007799361763) }},
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{{ SC_(5.390875339508056640625), SC_(1.0), SC_(0.99292266368865966796875), SC_(-1.694428428045302980695459253870012855657911579182) }},
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{{ SC_(5.390875339508056640625), SC_(3.0), SC_(0.09376299381256103515625), SC_(47.709869098409296824126378544766494005231382182091) }},
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{{ SC_(5.390875339508056640625), SC_(5.0), SC_(-0.72904598712921142578125), SC_(-141.96691257606284385923672899667345613424951478332) }},
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{{ SC_(5.390875339508056640625), SC_(5.0), SC_(-0.62323606014251708984375), SC_(-276.41355575741464167724815651046032240942755898478) }},
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{{ SC_(5.390875339508056640625), SC_(5.0), SC_(0.93538987636566162109375), SC_(-5.2252178435591148637339332297779102344828532461685) }},
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{{ SC_(5.9786128997802734375), SC_(-5.0), SC_(-0.72904598712921142578125), SC_(0.39122275291022609088193543043615921553750417433674e-4) }},
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{{ SC_(5.9786128997802734375), SC_(-5.0), SC_(-0.38366591930389404296875), SC_(0.00017489900689655423627775194820998979395800601640731) }},
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{{ SC_(5.9786128997802734375), SC_(-5.0), SC_(0.93538987636566162109375), SC_(0.14399299612982569620078078785763641519187756961443e-5) }},
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{{ SC_(5.9786128997802734375), SC_(-4.0), SC_(-0.62323606014251708984375), SC_(-0.00060704847503506154620171592993567892964928692547447) }},
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{{ SC_(5.9786128997802734375), SC_(-4.0), SC_(0.264718532562255859375), SC_(0.00059613981311034434030663336977459595577939813266618) }},
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{{ SC_(5.9786128997802734375), SC_(-3.0), SC_(0.62944734096527099609375), SC_(0.0031349671707415505384457022694976904859365129000026) }},
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{{ SC_(5.9786128997802734375), SC_(-3.0), SC_(0.67001712322235107421875), SC_(0.0032389529371683531093138459783060646462307543487447) }},
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{{ SC_(5.9786128997802734375), SC_(-2.0), SC_(0.91501367092132568359375), SC_(0.014070467978894087845837622000095287182388864142753) }},
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{{ SC_(5.9786128997802734375), SC_(-2.0), SC_(0.99292266368865966796875), SC_(0.0017135580072319634875733505499327690870804859765117) }},
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{{ SC_(5.9786128997802734375), SC_(-1.0), SC_(-0.74602639675140380859375), SC_(-0.011942526133146833219086796223309547055717483576189) }},
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{{ SC_(5.9786128997802734375), SC_(-1.0), SC_(0.93773555755615234375), SC_(0.10697160990790480346676465130193776610937898528547) }},
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{{ SC_(5.9786128997802734375), SC_(0.0), SC_(-0.5579319000244140625), SC_(0.047804048918209109846499488120279081448233535491368) }},
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{{ SC_(5.9786128997802734375), SC_(0.0), SC_(-0.44300353527069091796875), SC_(-0.20426834340719068505951661242682923196540890996203) }},
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{{ SC_(5.9786128997802734375), SC_(0.0), SC_(0.98576259613037109375), SC_(0.79688047965898906667942422168075865228912496237335) }},
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{{ SC_(5.9786128997802734375), SC_(2.0), SC_(-0.804919183254241943359375), SC_(-14.041412871300637007325237563186908954938502617465) }},
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{{ SC_(5.9786128997802734375), SC_(3.0), SC_(0.09376299381256103515625), SC_(47.709869098409296824126378544766494005231382182091) }},
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{{ SC_(5.9786128997802734375), SC_(3.0), SC_(0.0944411754608154296875), SC_(47.641150834624152676066344832804794889226504703822) }},
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{{ SC_(5.9786128997802734375), SC_(3.0), SC_(0.826751708984375), SC_(-48.15370209637736090987750799064280741291078069631) }},
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{{ SC_(5.9786128997802734375), SC_(4.0), SC_(0.92977702617645263671875), SC_(16.135533061554449755055362055976172128279602633683) }},
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{{ SC_(5.9786128997802734375), SC_(5.0), SC_(0.81158387660980224609375), SC_(-64.324006256133565068416408251533490438742435471623) }},
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{{ SC_(7.0129680633544921875), SC_(-6.0), SC_(-0.44300353527069091796875), SC_(-0.49917660497843442012283615070189075267419679644049e-5) }},
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{{ SC_(7.0129680633544921875), SC_(-6.0), SC_(0.62944734096527099609375), SC_(0.3006891273213370799141727869232359504461493153624e-5) }},
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{{ SC_(7.0129680633544921875), SC_(-6.0), SC_(0.81158387660980224609375), SC_(0.70040699133541810527562096226330143819869790187691e-6) }},
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{{ SC_(7.0129680633544921875), SC_(-6.0), SC_(0.98576259613037109375), SC_(0.48343073413896634965208304544121619980890063725753e-9) }},
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{{ SC_(7.0129680633544921875), SC_(-3.0), SC_(0.67001712322235107421875), SC_(0.000233323277056834438037424623276038206336990557194) }},
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{{ SC_(7.0129680633544921875), SC_(-2.0), SC_(-0.804919183254241943359375), SC_(-0.0027739031343697825991513090446807124968690478954398) }},
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{{ SC_(7.0129680633544921875), SC_(-1.0), SC_(-0.38366591930389404296875), SC_(0.039786558334548825835304799167391994654559424625062) }},
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{{ SC_(7.0129680633544921875), SC_(-1.0), SC_(0.92977702617645263671875), SC_(0.054454932483310305073733979576928070746123404332102) }},
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{{ SC_(7.0129680633544921875), SC_(0.0), SC_(0.0944411754608154296875), SC_(-0.19033023284194947443250862014615331274337558869229) }},
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