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215 lines
41 KiB
C++
215 lines
41 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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// Test data for RD, each row contains in order:
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//
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// x, y, z, RD(x, y, z)
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//
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static const boost::array<boost::array<typename table_type<T>::type, 4>, 201> ellint_rd_data = {{
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{{ SC_(0.60682196926171104626767727515008970841312337712241e-30), SC_(0.20031258624e11), SC_(0.10313978271484375e4), SC_(0.20551372495384815463856604017047221545095240191057e-7) }},
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{{ SC_(0.13810928266794127506964991575307193802925529863273e-29), SC_(0.2529551275074481964111328125e-3), SC_(0.7030536597341097149183042347431182861328125e-8), SC_(0.26827491422802771467722943731540343461246213838861e11) }},
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{{ SC_(0.44767214645416419053919245787147718165594030426536e-29), SC_(0.26553176031232e14), SC_(0.2085586588137791946752e23), SC_(0.10585138723496739834534066073267118675522211779171e-31) }},
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{{ SC_(0.60078474312334545656635060929362382794743178141472e-29), SC_(0.37131016039637643189053051173686981201171875e-8), SC_(0.32517390764125836699536241120728208287005145393778e-20), SC_(0.15139742233407639223792275679902886417433224652453e26) }},
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{{ SC_(0.61834249098451553748337548320711315606925672313013e-29), SC_(0.15125532639232e16), SC_(0.11666782739894188125617802143096923828125e-6), SC_(0.66117253645648417600031762235375783237535720054585e0) }},
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{{ SC_(0.80490202086679616440767211156605911864354431197377e-29), SC_(0.263248904192e12), SC_(0.297980882347216843954978816e27), SC_(0.10333434770883940055455846219131687005742728721005e-37) }},
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{{ SC_(0.15386248307178551019952166983379913769903023636025e-28), SC_(0.11083928e9), SC_(0.210290006361901760101318359375e-2), SC_(0.13550514102538012513935665942320904977981297554257e0) }},
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{{ SC_(0.27790564235134654243337661318427908127768828411199e-28), SC_(0.21656921296023725949679903214975529301966616912978e-20), SC_(0.16200692698475904762744903564453125e-4), SC_(0.85856403820113222790454310518632166416049096576362e9) }},
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{{ SC_(0.75787209056271355952485380019348769132814133643247e-28), SC_(0.3443290234375e5), SC_(0.87738095954812459262649215691458087947041111220869e-24), SC_(0.18256962837089036695688975681087926934231777165353e23) }},
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{{ SC_(0.83892250504513065845701871993405683214864787598623e-28), SC_(0.1116302655645995400846004486083984375e-5), SC_(0.5191992844812585795584e22), SC_(0.25853043071836854153543603031360043116599575432972e-30) }},
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{{ SC_(0.1287535325337014953720268054032123824574619620157e-27), SC_(0.13705567485615801022446745431989965211687137938007e-26), SC_(0.5078582763671875e0), SC_(0.25453721736248252436275234446728359554220261644493e3) }},
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{{ SC_(0.55263283825603576259688637477087526891102295303199e-27), SC_(0.14570690537170526341649579027404115549870766699314e-16), SC_(0.12941088853490731622934705547460304161866623869764e-26), SC_(0.36729174819285901249546490822632941293048355712711e36) }},
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{{ SC_(0.56127809703514701593677302775789618452802567406812e-27), SC_(0.9228809556838246663801328395493328571319580078125e-11), SC_(0.86422194270699415064029835775727406144142150878906e-12), SC_(0.10781910269701214744433782310389927085727282773814e19) }},
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{{ SC_(0.11649136528196886067987694424015483218044894522109e-26), SC_(0.36767340167168e14), SC_(0.4968523085117340087890625e0), SC_(0.99577870866168728614595399908281899687867831139901e-6) }},
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{{ SC_(0.25172518744793432127678756566548684645107602196601e-26), SC_(0.432213410600102056165376e24), SC_(0.1959631583933896656101239768660304818581607833039e-18), SC_(0.23283511871909436551998718906785080640182682915363e8) }},
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{{ SC_(0.28601321158264026057365024112938563807684451932578e-26), SC_(0.40558081566683637682324548023871102486737072467804e-15), SC_(0.208714828125e6), SC_(0.76237261396619453885730994908723652541092525168043e-6) }},
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{{ SC_(0.73955594308673193523198369636584653936223991005372e-26), SC_(0.15995684594580228399252064264146611094474792480469e-12), SC_(0.170420291286861873152e22), SC_(0.1687006236430131643441016712281856878753726523535e-29) }},
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{{ SC_(0.25325901731494375978251987705874090841683295149966e-25), SC_(0.2247014312744140625e3), SC_(0.275117858615052709715247104e27), SC_(0.18485690522734605390476411600907452658544362635922e-37) }},
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{{ SC_(0.34857664908449107348958795506280082952452713251912e-25), SC_(0.4151866912841796875e2), SC_(0.84098145009994339684283693509730169685090217512879e-22), SC_(0.54257544703354289137242893169458880766652554745316e22) }},
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{{ SC_(0.34919368622379363366113344149995795887854964367758e-25), SC_(0.253342638931968e15), SC_(0.7562174072265625e3), SC_(0.249241547815296223838694888499925239323224138633e-9) }},
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{{ SC_(0.43573388456807634241895548780677530339229715228289e-25), SC_(0.4951682e8), SC_(0.27826294978205525521980137859608542144911232096849e-25), SC_(0.68052511685869677076187126812000404571638179018885e22) }},
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{{ SC_(0.79820903020739723608895214436397557193018231780357e-25), SC_(0.64729720161775472443612539086288393264112528413534e-17), SC_(0.68450550546432e14), SC_(0.19125532541215326384896730405964498227631338694385e-18) }},
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{{ SC_(0.87440356429873925658498856170228582591246249688943e-25), SC_(0.897631640625e4), SC_(0.386145068359375e4), SC_(0.70431488067233168809120506088634745460689092194161e-5) }},
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{{ SC_(0.94440849851249091320281320378524601844016927998382e-25), SC_(0.339495296e9), SC_(0.27455182077952e14), SC_(0.12588696277491280442424745508482566976425259261561e-18) }},
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{{ SC_(0.14235380836999617679740726134029336127093459674064e-24), SC_(0.13978527726259656235898667313173260930711863658793e-24), SC_(0.2028485946357250213623046875e-1), SC_(0.27366411869676160015961055866442893198667542321359e5) }},
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{{ SC_(0.19953517994584643852448181812338140391502663839596e-24), SC_(0.20741449842688e14), SC_(0.4743499375e6), SC_(0.13886820075171731514726499953757541277555907027004e-11) }},
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{{ SC_(0.24754359063412526643006257824154938047573476511687e-24), SC_(0.542938704356835328e18), SC_(0.44974670432440498891960159215184658369128360699829e-26), SC_(0.10752772537029819829836280199737653161290081988757e18) }},
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{{ SC_(0.31317834636651731435069138009717243018286553235541e-24), SC_(0.446171086848e12), SC_(0.49623249953612003082525916397571563720703125e-9), SC_(0.90507658227268922734361508605808168072270615976688e4) }},
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{{ SC_(0.49794778812580822691949943719295546451682199506905e-24), SC_(0.1241846768099137683456e22), SC_(0.16907547929525060340181807204941172504655995389999e-25), SC_(0.78343915398198934519415679862427240727586271564883e15) }},
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{{ SC_(0.56225779987930131445265275562229206527363467582603e-24), SC_(0.59220483766176692878700381014733800100202643079683e-19), SC_(0.170295034922225631232e22), SC_(0.20048163240230817674563773499193885173665982026089e-29) }},
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{{ SC_(0.63171350201374448567926894124993295043246632758382e-24), SC_(0.34594001439795600424927311319582115491182941913878e-27), SC_(0.63795086741914598182229839666991088459324643622494e-23), SC_(0.30128244387255120033790929863955407018683622956366e36) }},
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{{ SC_(0.13769532587968157644195235343886302517048270122046e-23), SC_(0.2007315487162486533634364604949951171875e-6), SC_(0.484821384427736035149791860021650791168212890625e-10), SC_(0.13804448026385854623972866111304415486550268685946e15) }},
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{{ SC_(0.1809900535358029636909945199492450026643175498009e-23), SC_(0.4521496521192602813243865966796875e-5), SC_(0.8669365225699721122509799897670745849609375e-10), SC_(0.16273113459057256254769276696724703797987842259227e14) }},
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{{ SC_(0.23768503319901658006414734019219381138884883419848e-23), SC_(0.545301093941248e15), SC_(0.1237108193663516431115567684173583984375e-9), SC_(0.10384732803004085499895888503014146907429299054875e4) }},
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{{ SC_(0.30307608021550191165014175615417981032514993522398e-23), SC_(0.112407951746718026697635650634765625e-5), SC_(0.2082685879058432e16), SC_(0.78504137547976820009624215245629935490941195781392e-21) }},
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{{ SC_(0.62520772668534154026944814518561754825703991045316e-23), SC_(0.19445130267235161963321360384e29), SC_(0.27158976561908717618255837411567199524142779409885e-16), SC_(0.79176099627370786959440226480012961415298742955765e3) }},
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{{ SC_(0.13102694856934221302627057835335012189043046859638e-22), SC_(0.557648090759990083584e22), SC_(0.511986668338959560742296162061393260955810546875e-10), SC_(0.78466137092077764354738487755677479556614922112935e0) }},
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{{ SC_(0.22752379870925977520487843277428559665698237779452e-22), SC_(0.169495918280704e15), SC_(0.106314858496e12), SC_(0.21650121297190654998249828534683860885914030587266e-17) }},
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{{ SC_(0.25335998731998849030698736206528910198942927678445e-22), SC_(0.99404931640625e3), SC_(0.204871795654296875e3), SC_(0.42132166564785080959023378471888313620164092769291e-3) }},
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{{ SC_(0.34646067293379381351152691325339738961930358129848e-22), SC_(0.26973976499394821796760860105960760360263583912399e-23), SC_(0.238645943284598871514390339143574237823486328125e-10), SC_(0.35432548942737632785957707186626141058866961729541e18) }},
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{{ SC_(0.71863877935764437100797607417958061393203905709015e-22), SC_(0.174722980453023744e19), SC_(0.13073324703744e14), SC_(0.1736004266338139270794293208784155064732837114576e-21) }},
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{{ SC_(0.96362472102334232055222076765519517715929964651878e-21), SC_(0.229194643907248973846435546875e-3), SC_(0.354709317473833607436972670257091522216796875e-9), SC_(0.55865475580945127826780252757531774517543358031385e12) }},
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{{ SC_(0.27589042212186362242123678200494962808875243354123e-20), SC_(0.16342684e8), SC_(0.10564504593401150001064081607182743027806282043457e-12), SC_(0.70232843197284835279286086968072241001475849391442e10) }},
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{{ SC_(0.10233203223084091273258880352287070181205308472272e-19), SC_(0.85809811133878005628972118756792042404413223266602e-13), SC_(0.231948544e9), SC_(0.21282358830663000454676497251299241238551176927446e-10) }},
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{{ SC_(0.18673345450030310831705831391483241255002667458029e-19), SC_(0.16140768350376832622251404282443946390469477480956e-24), SC_(0.35751782069791464758326094786154009108614104661683e-22), SC_(0.57362515961254887975882907105995424791809261862104e33) }},
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{{ SC_(0.21109476364529939751075359117074570214356299402425e-19), SC_(0.8756801014807582267041677127782781970980266472715e-25), SC_(0.19232578752860259808180970650021732008816410797181e-22), SC_(0.10040849239749431240730130421363049484424180456536e34) }},
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{{ SC_(0.48988976909583188869227858043553514022505623870529e-19), SC_(0.20838384443777613341808319091796875e-4), SC_(0.15278292e8), SC_(0.70563639547351817695354788729725173202298905165509e-9) }},
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{{ SC_(0.82997499668329372719087076888666576479636205476709e-19), SC_(0.13155479315039595949803718770027355301939497866925e-23), SC_(0.1327809695148788465823841420387907419353723526001e-14), SC_(0.32382452643409713657086228689471450756020929884496e24) }},
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{{ SC_(0.16677509527778160624086499150275919589603290660307e-18), SC_(0.50082130538252574789989333416135111329551950562359e-29), SC_(0.27393523857242675896004658903787332135948417999316e-20), SC_(0.26379890286497467800536742716267974869467674676907e31) }},
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{{ SC_(0.30420727664434581210352358596193944606511649908498e-18), SC_(0.28656053473241627216339111328125e-4), SC_(0.94969911521617292598785838378394608128019171999767e-19), SC_(0.21152520435266024826733886337057191990575481859773e22) }},
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{{ SC_(0.75868695590633990953827528458397466692986199632287e-18), SC_(0.930611462144e12), SC_(0.18147922618313051311153033283257685840533790511131e-24), SC_(0.83768344778024722769204816337111831433373325848511e16) }},
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{{ SC_(0.79597584432992412060764095271814255738718202337623e-18), SC_(0.75974287571611502022633594876763844865744160884209e-30), SC_(0.20657736771171195551744e23), SC_(0.47403170903497016250215067728483228381506772219895e-31) }},
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{{ SC_(0.12784377253954858878954355810853016350847610738128e-17), SC_(0.687874899968e12), SC_(0.2496727752685546875e2), SC_(0.14487562897240575462420431915733354323986381404974e-6) }},
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{{ SC_(0.22468750405760049766485005051652734664457966573536e-17), SC_(0.20721947294077835977077484130859375e-4), SC_(0.33333534375e6), SC_(0.1891939096717128299814570834532131624242218004607e-6) }},
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{{ SC_(0.33297255999405977634352134242323728585688513703644e-17), SC_(0.31191365320704e14), SC_(0.2293932139873504638671875e0), SC_(0.23416581491449832804939246015659888605843645930834e-5) }},
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{{ SC_(0.35736448257653877024582131372021365223190514370799e-17), SC_(0.1626183676572159287754752e26), SC_(0.18501463382170069138510370976291596889495849609375e-11), SC_(0.40153851788485548350521938534047362493332593188358e0) }},
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{{ SC_(0.46871312598868006987253009842930850936681963503361e-17), SC_(0.3093168493023691324522496e26), SC_(0.16793731632787596740420928687663819571897812904515e-26), SC_(0.60797270634828688834833132685695209121001352766598e10) }},
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{{ SC_(0.57842544071306897015280826246375056598481023684144e-17), SC_(0.29870528793496387010009129880927503108978271484375e-12), SC_(0.2262512535863296e17), SC_(0.29646119268293442517889863887012770015886764481583e-22) }},
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{{ SC_(0.152616857880340486461855087352290638591512106359e-16), SC_(0.2803833618070566221119488e25), SC_(0.130162216009921394288539886474609375e-4), SC_(0.13764477533975189296577420989460030210624358668897e-6) }},
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{{ SC_(0.27022364375023134885640124780437076879024971276522e-16), SC_(0.27506543358959030582888269221280574638246675400223e-29), SC_(0.10302131894484992e19), SC_(0.11533202298793762115879808476821158493089208267767e-24) }},
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{{ SC_(0.51905646303429040628284185654450766378431580960751e-16), SC_(0.15583587e8), SC_(0.46741176605224609375e2), SC_(0.16258625638384341129980088810715602413277009050755e-4) }},
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{{ SC_(0.54374770505732477601443242143375300656771287322044e-16), SC_(0.4562802734375e3), SC_(0.10197021348467909816516131089894163913918803398168e-29), SC_(0.18861228040658158783485684274667884467513804993808e23) }},
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{{ SC_(0.60475637804894883005346617466102543403394520282745e-16), SC_(0.56145323516737172227849140410116390853545453865081e-18), SC_(0.64836257251954521052539348602294921875e-7), SC_(0.19426856083161503849129240968279840607620575171493e13) }},
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{{ SC_(0.17055543082513291604229710429763144929893314838409e-15), SC_(0.6943710148334503173828125e-1), SC_(0.61840874921367523613102701318666731822304427623749e-15), SC_(0.12070723069489973584177449356829135215953130632198e17) }},
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{{ SC_(0.31354745663454523796342954256033408455550670623779e-15), SC_(0.18973853599391077295877039432525634765625e-8), SC_(0.15741248433312655941040958396115456707775592803955e-13), SC_(0.38340329268483399676355291918194933462116017467071e19) }},
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{{ SC_(0.92657114094649205629505850367877428652718663215637e-15), SC_(0.32666126748015500425026402808725833892822265625e-10), SC_(0.62660384591791979530528422515089914668351411819458e-14), SC_(0.60469431091148756507917001500985998650828444618344e20) }},
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{{ SC_(0.10318525717298732830018437311991874594241380691528e-14), SC_(0.14367766698608619435617583803832530975341796875e-9), SC_(0.5059831664766534231603145599365234375e-6), SC_(0.37240456346135514582020163258162977421115936310552e11) }},
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{{ SC_(0.63024210653626119155168439078806841280311346054077e-14), SC_(0.83430262439221944230360872296614616061560809612274e-15), SC_(0.38344456302173223195286237326130017242619817813276e-26), SC_(0.21127757229591123502084107843796645070269626006089e29) }},
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{{ SC_(0.68559452379320356268932457055598206352442502975464e-14), SC_(0.322791595458984375e3), SC_(0.86205957643638764405225050069248027284629642963409e-15), SC_(0.5070464522925097491100578039956621014507338348222e14) }},
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{{ SC_(0.96442290460109492133966568871983326971530914306641e-14), SC_(0.9353629648877212663808e22), SC_(0.52655215867828667928533109554578572897298727184534e-17), SC_(0.13450724270522347382379901409784950912908729078726e6) }},
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