/* * Copyright Evan Miller, 2020 * Use, modification and distribution are subject to the * Boost Software License, Version 1.0. (See accompanying file * LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) */ #ifndef SC_ # define SC_(x) static_cast<T>(BOOST_JOIN(x, L)) #endif static const std::array<std::array<T, 6>, 400> jacobi_theta_data = {{ { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.9508075714111328125000000000000000000000e-01), SC_(3.2885959156198046956373565724956688068534e-02), SC_(-2.2416718090563708825527631664766447369533e+00), SC_(2.2416730256716428176498936630325268412281e+00), SC_(8.6501687817251432893648387652790053208630e-02) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(2.5397360324859619140625000000000000000000e-01), SC_(5.5831988474209441900045409328023422992062e-02), SC_(-1.9691670545730865185370026051380898653342e+00), SC_(1.9692070146804315897834982290548176926129e+00), SC_(1.8728278171412944095194972294679425185365e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(2.7095401287078857421875000000000000000000e-01), SC_(6.1414517194706514196626094660315415501479e-02), SC_(-1.9073573818152337347920026599518799545677e+00), SC_(1.9074397029476183499308029984882511761375e+00), SC_(2.1897663035281409511640466400290764283829e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(3.7676393985748291015625000000000000000000e-01), SC_(8.4145606747747875706412202717886523741067e-02), SC_(-1.6199525737027658037878996227105298327933e+00), SC_(1.6216382399667330034766713511913243280071e+00), SC_(4.1180679330462040958324052300483030623371e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(4.4206809997558593750000000000000000000000e-01), SC_(8.9974872037641809899114670882385487978310e-02), SC_(-1.4948280057918640281547902919992903030933e+00), SC_(1.5000473265750476128317440143673362216076e+00), SC_(5.1467354741397891494638231908572839845465e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(5.5699634552001953125000000000000000000000e-01), SC_(9.1690758183633167841811240684147212274744e-02), SC_(-1.3253829252665879780800332116214769334757e+00), SC_(1.3451047394314855351133469239572153244678e+00), SC_(6.5836831869245427680960986308150766818528e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(6.1633396148681640625000000000000000000000e-01), SC_(9.0196440355619018889228716087108355076037e-02), SC_(-1.2537410275781201841590060208091665028950e+00), SC_(1.2857950607472095909819956705437694951374e+00), SC_(7.1585263374832302977228457724224595932690e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.0937628746032714843750000000000000000000e+00), SC_(6.5877232809985905681764619134801086230341e-02), SC_(-8.4541004713259912838041915549137324261762e-01), SC_(1.0635948798051944732048239426082454938934e+00), SC_(9.3640920626489599747404227419818655818329e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.0944409370422363281250000000000000000000e+00), SC_(6.5843024946382135530921273524011201797333e-02), SC_(-8.4495631716962738405779450206308182590358e-01), SC_(1.0634595414471609505348672963192811042462e+00), SC_(9.3654450995432086454672201528973484675506e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.2647185325622558593750000000000000000000e+00), SC_(5.7717402457827552130506520458926747827065e-02), SC_(-7.3869742783791038117941437934053766799270e-01), SC_(1.0371674808910674395048549485514017159826e+00), SC_(9.6283299588492950587203513753732975338901e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.6294469833374023437500000000000000000000e+00), SC_(4.3382185219962659123384493028114502587781e-02), SC_(-5.5453006027422481538616511141963584513263e-01), SC_(1.0118177162202877813354243461741329409210e+00), SC_(9.8818228865282976953190323495768627669719e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.6700167655944824218750000000000000000000e+00), SC_(4.2022677150864693639214706106242554258389e-02), SC_(-5.3713514503810660443759327951192629043962e-01), SC_(1.0104035384590398675130815571225838402607e+00), SC_(9.8959646446778732507698856099061363554844e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.8115835189819335937500000000000000000000e+00), SC_(3.7602545611832097928051600960332852576056e-02), SC_(-4.8060586328526795964620529919138719384821e-01), SC_(1.0066685390881391928580890886073198867059e+00), SC_(9.9333146140593908217654878598148057492365e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.8267517089843750000000000000000000000000e+00), SC_(3.7157356157057774254146348528034331540937e-02), SC_(-4.7491386186047605336495192882655608771272e-01), SC_(1.0063582204164079590214459763047191130700e+00), SC_(9.9364177999192579272821357131004366585243e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.9150133132934570312500000000000000000000e+00), SC_(3.4669293496880933573913973796766377221594e-02), SC_(-4.4310583233589327796733318164596230304260e-01), SC_(1.0048185184419865146698247683731072232283e+00), SC_(9.9518148169270092444326671454923222356603e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.9297766685485839843750000000000000000000e+00), SC_(3.4269674493132122042104988732264751057251e-02), SC_(-4.3799741759362342540558356798192376397563e-01), SC_(1.0046001368516167395772083209713542961695e+00), SC_(9.9539986326026417406727253414204725647095e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.9353895187377929687500000000000000000000e+00), SC_(3.4118954296499040189528020840058110228868e-02), SC_(-4.3607075353491976987733384704372494896805e-01), SC_(1.0045197322883877810757800087423430817192e+00), SC_(9.9548026781587368895570806333888285193359e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.9377355575561523437500000000000000000000e+00), SC_(3.4056153222157931904248573342730647957311e-02), SC_(-4.3526796792144445779854041542761157145315e-01), SC_(1.0044865429698043837327880338227974626757e+00), SC_(9.9551345713142820070531172057902884449025e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.9857625961303710937500000000000000000000e+00), SC_(3.2795600559509299554238288287266474520164e-02), SC_(-4.1915475739250961854397536490612733958572e-01), SC_(1.0038582012197738610159379154069365034703e+00), SC_(9.9614179883558823208000122028308835467598e-01) }, { SC_(-3.2196769714355468750000000000000000000000e+00), SC_(1.9929223060607910156250000000000000000000e+00), SC_(3.2611717401368608560226578350702144470825e-02), SC_(-4.1680430305278540963672957062261370260009e-01), SC_(1.0037723878277962279347696844063471461102e+00), SC_(9.9622761222280235400179541749559509865075e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.9508075714111328125000000000000000000000e-01), SC_(-6.9676853953032381244877372361276859265833e-02), SC_(-2.1742880296700880641378638549557311881085e+00), SC_(2.1742903337996054679352276490976794472551e+00), SC_(1.0429228242216249027210077880725313508125e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(2.5397360324859619140625000000000000000000e-01), SC_(-1.1535719738182461019719051252071974536393e-01), SC_(-1.9235293961360632224820892506863158635906e+00), SC_(1.9235905656343136619049504876148897791741e+00), SC_(2.0928717318774198825798484556769369833088e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(2.7095401287078857421875000000000000000000e-01), SC_(-1.2635606006211526599393189133213144552846e-01), SC_(-1.8658821428950401443604145995458179840698e+00), SC_(1.8660028810074116923960226415367933524933e+00), SC_(2.4134071780300068649120025619519327491542e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(3.7676393985748291015625000000000000000000e-01), SC_(-1.7073301400235555436898762012301610560970e-01), SC_(-1.5943378570131547445128235218495685582267e+00), SC_(1.5964292250840093437662989986717842943046e+00), SC_(4.3197035975376943991056461366142957045398e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(4.4206809997558593750000000000000000000000e-01), SC_(-1.8190450172600248007541912663061189329094e-01), SC_(-1.4743415382434155511176429567081690793979e+00), SC_(1.4804680749326598915746552573628936838561e+00), SC_(5.3203204217740411884133203721898526466513e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(5.5699634552001953125000000000000000000000e-01), SC_(-1.8480392459732740055543915197923581287778e-01), SC_(-1.3101212425899176980652377630798437311952e+00), SC_(1.3319726015184572938123653999752144911655e+00), SC_(6.7097651919854720751533622326405618291680e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(6.1633396148681640625000000000000000000000e-01), SC_(-1.8164564889940919584594762321826678234933e-01), SC_(-1.2401321367224119949259298157673037404433e+00), SC_(1.2749895020493837716763882331848463726145e+00), SC_(7.2640962511757515582157310777022082156911e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.0937628746032714843750000000000000000000e+00), SC_(-1.3246258568705527992211615576017298058888e-01), SC_(-8.3743545401533823531663790430500265498361e-01), SC_(1.0612109917512709375781295169244701713145e+00), SC_(9.3879247790386561583883622379999064947649e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.0944409370422363281250000000000000000000e+00), SC_(-1.3239375881014655157772587188263018492868e-01), SC_(-8.3698627647842741248597884484034588564926e-01), SC_(1.0610807280962611731979716026543372826837e+00), SC_(9.3892271212029174466583508938869642523974e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.2647185325622558593750000000000000000000e+00), SC_(-1.1604932787313472262372052163118333717661e-01), SC_(-7.3176635108630629644306636069888832789020e-01), SC_(1.0357743463550976342229037664925377339235e+00), SC_(9.6422605849559022961364190753251083632592e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.6294469833374023437500000000000000000000e+00), SC_(-8.7224207683535554113287784850157950558384e-02), SC_(-5.4933993228145764731195546461730437273983e-01), SC_(1.0113747655797527788528860145495129630519e+00), SC_(9.8862523855821768348144342164147409054536e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.6700167655944824218750000000000000000000e+00), SC_(-8.4490730814468820010723822599677937278912e-02), SC_(-5.3210814209271451763108098996476942969166e-01), SC_(1.0100135939870993647805628127464053793266e+00), SC_(9.8998640849819353958187285746302860345875e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.8115835189819335937500000000000000000000e+00), SC_(-7.5603529589824223493793039662986816850983e-02), SC_(-4.7610848910259253445426140056414334146921e-01), SC_(1.0064185895975358726720008714824337215412e+00), SC_(9.9358141082200691217433377814640273722659e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.8267517089843750000000000000000000000000e+00), SC_(-7.4708427701638229443998430123216167944731e-02), SC_(-4.7046978790332388429864217046816597084144e-01), SC_(1.0061199022616371000288254867133191226320e+00), SC_(9.9388009808509637928433380895692034379079e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.9150133132934570312500000000000000000000e+00), SC_(-6.9705916375482701082280646757898724193655e-02), SC_(-4.3895954984627461602882569445920348316658e-01), SC_(1.0046379112460061575235741827372786441206e+00), SC_(9.9536208886836265030422606968365669324474e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.9297766685485839843750000000000000000000e+00), SC_(-6.8902441621096209562870934973072666084946e-02), SC_(-4.3389895310038263230276048357410242920558e-01), SC_(1.0044277150121370456245412530982408343091e+00), SC_(9.9557228508286577569616361340888122471534e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.9353895187377929687500000000000000000000e+00), SC_(-6.8599403369089294855997739969130536471752e-02), SC_(-4.3199032338645380135375585492512352774591e-01), SC_(1.0043503241645036599869455358699721945301e+00), SC_(9.9564967592402916912017636521145645320973e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.9377355575561523437500000000000000000000e+00), SC_(-6.8473135446507010543494025919642828982783e-02), SC_(-4.3119505209695623239971510541478368818257e-01), SC_(1.0043183788445501225325357032936252817910e+00), SC_(9.9568162124141075156049052526605245801640e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.9857625961303710937500000000000000000000e+00), SC_(-6.5938667856032805499247953082639466279535e-02), SC_(-4.1523265838400988098451372863518061943789e-01), SC_(1.0037135885347991840554425975715737922150e+00), SC_(9.9628641151221111347436480987777782966621e-01) }, { SC_(-2.9841060638427734375000000000000000000000e+00), SC_(1.9929223060607910156250000000000000000000e+00), SC_(-6.5568952497981488574466097832940398530291e-02), SC_(-4.1290420275596585095673395612028777682163e-01), SC_(1.0036309915913907956383436936638691404650e+00), SC_(9.9636900845157460285737793522060407676557e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.9508075714111328125000000000000000000000e-01), SC_(-1.0638124256040449522259464034480143699687e-01), SC_(-2.0839514985288259310740565295492424084695e+00), SC_(2.0839558026423675763831595653354870910202e+00), SC_(1.2980363891774324439110618936460778126902e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(2.5397360324859619140625000000000000000000e-01), SC_(-1.7049865099987792267730709322475468291487e-01), SC_(-1.8618246337229031927995835312739933943865e+00), SC_(1.8619205858385442093235450053842179174263e+00), SC_(2.4008155347217191851084263398550522889137e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(2.7095401287078857421875000000000000000000e-01), SC_(-1.8571910380134416398456036857916714119148e-01), SC_(-1.8097047546393151131110178736917818008416e+00), SC_(1.8098871857898295077646042246594644892592e+00), SC_(2.7251598072852339587994209011284928293062e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(3.7676393985748291015625000000000000000000e-01), SC_(-2.4633897832788700386327974982707008703909e-01), SC_(-1.5593643243887396638493765503019746112799e+00), SC_(1.5620599962672167004834007175358813569852e+00), SC_(4.5974175845707997595867502970177778756781e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(4.4206809997558593750000000000000000000000e-01), SC_(-2.6118453981003000041489363092064349843461e-01), SC_(-1.4462720595319897223486648056537220973423e+00), SC_(1.4537201945268860467137013839853152671969e+00), SC_(5.5587588286753552867205362345249713136055e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(5.5699634552001953125000000000000000000000e-01), SC_(-2.6424067019114790962633510954852273540602e-01), SC_(-1.2891144929895939986617882287184684317098e+00), SC_(1.3140021770065402325964153782318227519816e+00), SC_(6.8826180113127887392731536598283018106079e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(6.1633396148681640625000000000000000000000e-01), SC_(-2.5943956282720049402054893750677009247457e-01), SC_(-1.2213686904484515426893737796789651339889e+00), SC_(1.2601971734750615594009189797290879626099e+00), SC_(7.4087690711491610649149820681298518882551e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.0937628746032714843750000000000000000000e+00), SC_(-1.8878956567519166004513773387574370846947e-01), SC_(-8.2639204425528085671355741732273647904376e-01), SC_(1.0579458740210507414129773499466612213543e+00), SC_(9.4205678956044801196042392214867387481805e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.0944409370422363281250000000000000000000e+00), SC_(-1.8869138679375539622398712684155527733590e-01), SC_(-8.2594915845073138151521885317788371054166e-01), SC_(1.0578225608657991493755731555963898529971e+00), SC_(9.4218008011631619696162723904199888269708e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.2647185325622558593750000000000000000000e+00), SC_(-1.6538542013400175221396832958690244866121e-01), SC_(-7.2216632402491545130272107870423759074292e-01), SC_(1.0338662158250433764582773722516415265089e+00), SC_(9.6613409497034103828041799145683991519336e-01) }, { SC_(-2.9161844253540039062500000000000000000000e+00), SC_(1.6294469833374023437500000000000000000000e+00), 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