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393 lines
64 KiB
C++
393 lines
64 KiB
C++
// Copyright (c) 2006 John Maddock
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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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//
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// Each row of data contains in order:
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//
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// n, phi, k, PI(n, phi, k)
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//
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static const boost::array<boost::array<typename table_type<T>::type, 4>, 380> ellint_pi3_large_data = {{
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{{ SC_(-0.882951507568359375e2), SC_(-0.80491924285888671875e1), SC_(0.814723670482635498046875e0), SC_(-0.87472421400728425336727040442604900083192977041785e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(-0.7460263729095458984375e1), SC_(0.135477006435394287109375e0), SC_(-0.82718880423302271609361236805097048706326618138613e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(-0.729045963287353515625e1), SC_(0.905791938304901123046875e0), SC_(-0.87747551276758882959544200152954525505618423971659e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(-0.623236083984375e1), SC_(0.835008561611175537109375e0), SC_(-0.65215237953434450934522345100560800793657047297229e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(-0.5579319000244140625e1), SC_(0.12698681652545928955078125e0), SC_(-0.5122762429234107157399593560830350036728566184486e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(-0.443003559112548828125e1), SC_(0.968867778778076171875e0), SC_(-0.54332403292257364440317808333720203684254160082478e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(-0.38366591930389404296875e1), SC_(0.9133758544921875e0), SC_(-0.51338947010848800530828929008203919356014977411471e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.9376299381256103515625e0), SC_(0.22103404998779296875e0), SC_(0.15824345778373739469179000212986130442374553398e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.944411754608154296875e0), SC_(0.6323592662811279296875e0), SC_(0.16010110842241419282972789586647601062389080124406e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.264718532562255859375e1), SC_(0.308167040348052978515625e0), SC_(0.18812698999986759709990325160594334177917367010501e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.62944736480712890625e1), SC_(0.97540400922298431396484375e-1), SC_(0.6764648718685968528811245633241126898305817526621e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.670017147064208984375e1), SC_(0.54722058773040771484375e0), SC_(0.81778541776042463995319059339588552698088433898419e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.81158390045166015625e1), SC_(0.278498232364654541015625e0), SC_(0.83745249382380518272911191808287678555946548573727e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.826751708984375e1), SC_(0.188381969928741455078125e0), SC_(0.83757094918096990315704827205570637800372489102387e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.91501369476318359375e1), SC_(0.546881496906280517578125e0), SC_(0.88536530789452037214536364734769886885031477691156e0) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.929777050018310546875e1), SC_(0.992881298065185546875e0), SC_(0.10670104592156217618232174187269358103233999652509e1) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.93538990020751953125e1), SC_(0.957506835460662841796875e0), SC_(0.10357277056795963385227029717982264964969263725296e1) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.93773555755615234375e1), SC_(0.996461331844329833984375e0), SC_(0.11393287366513926492075339545953276894721889046337e1) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.98576259613037109375e1), SC_(0.964888513088226318359375e0), SC_(0.12490646709828734017662810793035855992633603697925e1) }},
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{{ SC_(-0.882951507568359375e2), SC_(0.992922687530517578125e1), SC_(0.967694938182830810546875e0), SC_(0.12562075694306417376583251897842403492180529464883e1) }},
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{{ SC_(-0.8681658935546875e2), SC_(-0.80491924285888671875e1), SC_(0.15761308372020721435546875e0), SC_(-0.84140469773208335456919923830249117896698295285825e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(-0.7460263729095458984375e1), SC_(0.725838959217071533203125e0), SC_(-0.85987671052370888277919669524246227679947360493402e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(-0.729045963287353515625e1), SC_(0.970592796802520751953125e0), SC_(-0.91443922525100421734210147418874666650910614494338e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(-0.623236083984375e1), SC_(0.981109678745269775390625e0), SC_(-0.7106272156738935312370492307790173553201815649551e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(-0.5579319000244140625e1), SC_(0.957166969776153564453125e0), SC_(-0.58106009812366507614405013631862001052582083043834e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(-0.443003559112548828125e1), SC_(0.109861753880977630615234375e0), SC_(-0.49983870530384115095256605303312645824352714073227e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(-0.38366591930389404296875e1), SC_(0.4853756427764892578125e0), SC_(-0.49428566816516318921025209597689924685446558273393e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.9376299381256103515625e0), SC_(0.79810583591461181640625e0), SC_(0.16264406175756977733142719519534386130654412249944e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.944411754608154296875e0), SC_(0.80028045177459716796875e0), SC_(0.16282022749627678393354605008370427957677491731307e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.264718532562255859375e1), SC_(0.297029435634613037109375e0), SC_(0.18977993070188281230059741069586097466083740104406e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.62944736480712890625e1), SC_(0.14188633859157562255859375e0), SC_(0.68239209777614933756004515248637654641240799137633e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.670017147064208984375e1), SC_(0.47834846191108226776123046875e-2), SC_(0.81288526517388767163902468894469430412802255190882e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.81158390045166015625e1), SC_(0.4217612743377685546875e0), SC_(0.84924877776215008160678238935268625874487764674281e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.826751708984375e1), SC_(0.1124645173549652099609375e0), SC_(0.8436484863509619135739901228550661577676789921708e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.91501369476318359375e1), SC_(0.915735542774200439453125e0), SC_(0.95373283829252902405087581062925853275855864089375e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.929777050018310546875e1), SC_(0.639763355255126953125e0), SC_(0.93674317644311585360231935232845892831637346827973e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.93538990020751953125e1), SC_(0.792207300662994384765625e0), SC_(0.98735879657086553764434857657877232118368138213484e0) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.93773555755615234375e1), SC_(0.878430664539337158203125e0), SC_(0.1025248511731665221473972396370335124655052772948e1) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.98576259613037109375e1), SC_(0.9594924449920654296875e0), SC_(0.12550759972155121101731042438144441861148487473869e1) }},
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{{ SC_(-0.8681658935546875e2), SC_(0.992922687530517578125e1), SC_(0.50366270542144775390625e0), SC_(0.11673484395886820589854473845868240195541869146431e1) }},
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{{ SC_(-0.847615814208984375e2), SC_(-0.80491924285888671875e1), SC_(0.655740678310394287109375e0), SC_(-0.87330537529798589363707267477409442925913183364478e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(-0.7460263729095458984375e1), SC_(0.797928631305694580078125e0), SC_(-0.87904389668569057123243043710903035434038423609968e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(-0.729045963287353515625e1), SC_(0.357116796076297760009765625e-1), SC_(-0.84078525712373178220947745986249080780651559495176e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(-0.623236083984375e1), SC_(0.3612940013408660888671875e0), SC_(-0.63550174673913486415783145741809241052044800786891e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(-0.5579319000244140625e1), SC_(0.84912931919097900390625e0), SC_(-0.55823097207697128640129681058469928375758518851429e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(-0.443003559112548828125e1), SC_(0.21192432940006256103515625e0), SC_(-0.50653264566656418790206483978766196380143408274079e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(-0.38366591930389404296875e1), SC_(0.93399322032928466796875e0), SC_(-0.52768082863143565944979426054840570548981898393827e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.9376299381256103515625e0), SC_(0.6813595294952392578125e0), SC_(0.16345840597997446286580518084575460850493778657533e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.944411754608154296875e0), SC_(0.67873513698577880859375e0), SC_(0.16358167818281164666410027933856064945511994225518e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.264718532562255859375e1), SC_(0.3987385332584381103515625e0), SC_(0.19345780441354699416180322379934184345689867702227e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.62944736480712890625e1), SC_(0.75774013996124267578125e0), SC_(0.71608605816567507682817792208387170386687198164273e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.670017147064208984375e1), SC_(0.740647256374359130859375e0), SC_(0.8478488690134601561699988304099457366052743530796e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.81158390045166015625e1), SC_(0.74313247203826904296875e0), SC_(0.88382693905031403996710245196053643566630916949913e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.826751708984375e1), SC_(0.474758684635162353515625e0), SC_(0.86418097073779732383859343034185666552250993263043e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.91501369476318359375e1), SC_(0.3922270238399505615234375e0), SC_(0.89564552708012969117963354018008675677974201436592e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.929777050018310546875e1), SC_(0.42208766937255859375e0), SC_(0.9334232677038391406419076040839712278510329146248e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.93538990020751953125e1), SC_(0.65547788143157958984375e0), SC_(0.98146659133251440967385843955400661406021307071047e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.93773555755615234375e1), SC_(0.1738651692867279052734375e0), SC_(0.97451533127978846620711239186218485925497514027631e0) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.98576259613037109375e1), SC_(0.1711866855621337890625e0), SC_(0.11640615124862612845435426946332017761732520618732e1) }},
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{{ SC_(-0.847615814208984375e2), SC_(0.992922687530517578125e1), SC_(0.3019131124019622802734375e0), SC_(0.11713665086347343936895377340529335101677296861788e1) }},
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{{ SC_(-0.8374275970458984375e2), SC_(-0.80491924285888671875e1), SC_(0.70604610443115234375e0), SC_(-0.88372212295494797215463296933963444292870259636239e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(-0.7460263729095458984375e1), SC_(0.797279894351959228515625e0), SC_(-0.884389956118873376054758977202078439642291683025e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(-0.729045963287353515625e1), SC_(0.318328440189361572265625e-1), SC_(-0.84577029328727123401881371301402450233725081369182e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(-0.623236083984375e1), SC_(0.316550433635711669921875e0), SC_(-0.63846339574416113373567010945277191420999632246177e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(-0.5579319000244140625e1), SC_(0.2769229710102081298828125e0), SC_(-0.52812726569592954195895319102905048273155320868794e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(-0.443003559112548828125e1), SC_(0.872428834438323974609375e0), SC_(-0.53746635053062118915090780793573108757406487056503e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(-0.38366591930389404296875e1), SC_(0.46171389520168304443359375e-1), SC_(-0.4978762597668464206276192008228893226722813811404e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.9376299381256103515625e0), SC_(0.1491139829158782958984375e0), SC_(0.16209570966545400371269348571638126889054705147418e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.944411754608154296875e0), SC_(0.9713177382946014404296875e-1), SC_(0.16215817203425741002240097327218770385678258272821e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.264718532562255859375e1), SC_(0.99406850337982177734375e0), SC_(0.24935641010054892689504363293132394056863376116041e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.62944736480712890625e1), SC_(0.82345783710479736328125e0), SC_(0.72852379014503319754408501161321583349729036432449e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.670017147064208984375e1), SC_(0.821903288364410400390625e0), SC_(0.86270426560123185475538774782641331349592543872963e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.81158390045166015625e1), SC_(0.69482862949371337890625e0), SC_(0.88363983765216152553062848228708719834142032113472e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.826751708984375e1), SC_(0.12518276274204254150390625e0), SC_(0.85904842549017092823420177568413379740184383148217e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.91501369476318359375e1), SC_(0.3170994818210601806640625e0), SC_(0.89832924292136367981143072212508421961914678883024e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.929777050018310546875e1), SC_(0.763750016689300537109375e0), SC_(0.97059068496073066167426174338823328956007114792457e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.93538990020751953125e1), SC_(0.950222074985504150390625e0), SC_(0.10612006545080664262749301630323796044048051408918e1) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.93773555755615234375e1), SC_(0.4905890524387359619140625e0), SC_(0.99255282683993851607920003517607189200775637266586e0) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.98576259613037109375e1), SC_(0.344460792839527130126953125e-1), SC_(0.11694252936742709575870544267044683470268199336139e1) }},
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{{ SC_(-0.8374275970458984375e2), SC_(0.992922687530517578125e1), SC_(0.663605511188507080078125e0), SC_(0.12020640620567294828443963915397922730117672481235e1) }},
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{{ SC_(-0.8108643341064453125e2), SC_(-0.80491924285888671875e1), SC_(0.438744366168975830078125e0), SC_(-0.87859118361492932890635940712463342603487276934114e0) }},
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{{ SC_(-0.8108643341064453125e2), SC_(-0.7460263729095458984375e1), SC_(0.125896632671356201171875e0), SC_(-0.86246232942728654389337818078876608085517066480744e0) }},
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{{ SC_(-0.8108643341064453125e2), SC_(-0.729045963287353515625e1), SC_(0.3815584480762481689453125e0), SC_(-0.86531869882965558516728450736093330408902320934679e0) }},
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{{ SC_(-0.8108643341064453125e2), SC_(-0.623236083984375e1), SC_(0.210209071636199951171875e0), SC_(-0.64738119246583903225050875393603159385656430274696e0) }},
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{{ SC_(-0.8108643341064453125e2), SC_(-0.5579319000244140625e1), SC_(0.765516817569732666015625e0), SC_(-0.56059463304084913173305663916600337025735588584011e0) }},
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{{ SC_(-0.8108643341064453125e2), SC_(-0.443003559112548828125e1), SC_(0.512164272367954254150390625e-1), SC_(-0.51665269949646002578918679272747584030640662128209e0) }},
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{{ SC_(-0.8108643341064453125e2), SC_(-0.38366591930389404296875e1), SC_(0.795199930667877197265625e0), SC_(-0.52384451344806999102617231824644764934621420943259e0) }},
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{{ SC_(-0.8108643341064453125e2), SC_(0.9376299381256103515625e0), SC_(0.3644125163555145263671875e-1), SC_(0.16445840518160456987391702277105422285907920849628e0) }},
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}};
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