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414 lines
82 KiB
C++
414 lines
82 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 RF, each row contains in order:
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//
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// x, y, z, RF(x, y, z)
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//
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static const boost::array<boost::array<typename table_type<T>::type, 4>, 401> ellint_rf_data = {{
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{{ SC_(0.60682196926171104626767727515008970841312337712241e-30), SC_(0.20031258624e11), SC_(0.10313978271484375e4), SC_(0.69081557947567857896297308369623231790841946303168e-4) }},
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{{ SC_(0.13810928266794127506964991575307193802925529863273e-29), SC_(0.2529551275074481964111328125e-3), SC_(0.7030536597341097149183042347431182861328125e-8), SC_(0.41696748464385961137940994051143282877208328256968e3) }},
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{{ SC_(0.14532352659780781796355564562931230420316401288775e-29), SC_(0.62687453931329231730011467674071804187172354186889e-30), SC_(0.26256847716031594952568184453411959111690521240234e-12), SC_(0.40492940437281068910143789937423107620726714449588e8) }},
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{{ SC_(0.21161119528926488937912315394561157356168786172334e-29), SC_(0.142681614079265273176133632659912109375e-6), SC_(0.1414351724088191986083984375e-1), SC_(0.60023495609336663619731475310462707680628111629781e2) }},
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{{ SC_(0.43727979838159528482554219689363356095561935561375e-29), SC_(0.7798122348544e13), SC_(0.8588943201947652980736e22), SC_(0.12728379993876013222161727164717897397898227135914e-9) }},
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{{ SC_(0.44767214645416419053919245787147718165594030426536e-29), SC_(0.26553176031232e14), SC_(0.2085586588137791946752e23), SC_(0.80511870764678968189176930995818394321307940480734e-10) }},
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{{ SC_(0.60078474312334545656635060929362382794743178141472e-29), SC_(0.37131016039637643189053051173686981201171875e-8), SC_(0.32517390764125836699536241120728208287005145393778e-20), SC_(0.25056280362165428100075135368904610528487634651412e6) }},
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{{ SC_(0.61834249098451553748337548320711315606925672313013e-29), SC_(0.15125532639232e16), SC_(0.11666782739894188125617802143096923828125e-6), SC_(0.69024104942927043057057398977626412595781610122053e-6) }},
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{{ SC_(0.80490202086679616440767211156605911864354431197377e-29), SC_(0.263248904192e12), SC_(0.297980882347216843954978816e27), SC_(0.10843189731083616299141336159195842305986739069878e-11) }},
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{{ SC_(0.15386248307178551019952166983379913769903023636025e-28), SC_(0.11083928e9), SC_(0.210290006361901760101318359375e-2), SC_(0.13041677890491263355196952840107362001464424225232e-2) }},
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{{ SC_(0.21260283480045472585820552908849842179312334994757e-28), SC_(0.117237625e7), SC_(0.28658838e8), SC_(0.56137169413466917815737398640168522533687819147944e-3) }},
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{{ SC_(0.23067565607429071342632211210292164463707216326199e-28), SC_(0.44169701635837554931640625e-1), SC_(0.14622103125e6), SC_(0.23255376087386493123620791606540418922162034060246e-1) }},
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{{ SC_(0.27790564235134654243337661318427908127768828411199e-28), SC_(0.21656921296023725949679903214975529301966616912978e-20), SC_(0.16200692698475904762744903564453125e-4), SC_(0.48848907341566731317828094161181483220489237197822e4) }},
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{{ SC_(0.3576658041416457175462348437019377323527317041928e-28), SC_(0.182191292416e12), SC_(0.355224928e9), SC_(0.1056145023109440334189908118197725710820599937924e-4) }},
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{{ SC_(0.45190074381881787947113833644192369803258850957835e-28), SC_(0.903221837196690095865856e24), SC_(0.197033285648384e15), SC_(0.1316234260403974959059386181123491622884455028604e-10) }},
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{{ SC_(0.75787209056271355952485380019348769132814133643247e-28), SC_(0.3443290234375e5), SC_(0.87738095954812459262649215691458087947041111220869e-24), SC_(0.18482788150207164039886687903794355893352157342876e0) }},
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{{ SC_(0.83892250504513065845701871993405683214864787598623e-28), SC_(0.1116302655645995400846004486083984375e-5), SC_(0.5191992844812585795584e22), SC_(0.46130757625625887687399713890619646292026008752597e-9) }},
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{{ SC_(0.10848934303015863927446282468623299997624646840919e-27), SC_(0.62221619626030569058053553009209074892000950850727e-30), SC_(0.343400804652490021666816e24), SC_(0.10342135228893151111628599880598474090206795712037e-9) }},
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{{ SC_(0.1287535325337014953720268054032123824574619620157e-27), SC_(0.13705567485615801022446745431989965211687137938007e-26), SC_(0.5078582763671875e0), SC_(0.44492840412794216795211644099170510281671666177003e2) }},
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{{ SC_(0.20347543751535935665284243442334458135561822645851e-27), SC_(0.440987377729536e16), SC_(0.287391328125e5), SC_(0.21480602601200030281855562249446563848311273705777e-6) }},
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{{ SC_(0.22256795142604778055852756615936599983521384333793e-27), SC_(0.18143533359633255599212774654416246988830607733689e-18), SC_(0.21148944142623804509639739990234375e-5), SC_(0.11297576663225845000545238152727773376633249003903e5) }},
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{{ SC_(0.27311316429626442094674415847188181871613594240214e-27), SC_(0.10845691548033613824e20), SC_(0.400673984e9), SC_(0.40680160276715551282981129022255804380967818080019e-8) }},
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{{ SC_(0.55263283825603576259688637477087526891102295303199e-27), SC_(0.14570690537170526341649579027404115549870766699314e-16), SC_(0.12941088853490731622934705547460304161866623869764e-26), SC_(0.3263066756541685311171843349919704700385781288154e10) }},
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{{ SC_(0.56127809703514701593677302775789618452802567406812e-27), SC_(0.9228809556838246663801328395493328571319580078125e-11), SC_(0.86422194270699415064029835775727406144142150878906e-12), SC_(0.85882928958216539680438351403609321208964637689442e6) }},
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{{ SC_(0.88887406204705208581375488864563298833942634608052e-27), SC_(0.5811525927157390469801612198352813720703125e-8), SC_(0.32174132911148321865672794483970164947095327079296e-17), SC_(0.15798257631853654027208341257989620757183444492979e6) }},
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{{ SC_(0.11649136528196886067987694424015483218044894522109e-26), SC_(0.36767340167168e14), SC_(0.4968523085117340087890625e0), SC_(0.28619662675577147008545299820464843681562410993599e-5) }},
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{{ SC_(0.12708737924245050134296546672544059482912572403568e-26), SC_(0.903024183216244059537408e24), SC_(0.15518063165544166788813746673722175600112280614926e-28), SC_(0.62957032534216916589353715070316990128108284888469e-10) }},
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{{ SC_(0.25172518744793432127678756566548684645107602196601e-26), SC_(0.432213410600102056165376e24), SC_(0.1959631583933896656101239768660304818581607833039e-18), SC_(0.76260606376287472971690034770273684734039141637871e-10) }},
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{{ SC_(0.28601321158264026057365024112938563807684451932578e-26), SC_(0.40558081566683637682324548023871102486737072467804e-15), SC_(0.208714828125e6), SC_(0.5522837672610515535667805214004803961305903914157e-1) }},
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{{ SC_(0.42244364291200267661460233749011480646438909669627e-26), SC_(0.477498138427734375e3), SC_(0.17728046030944125033074269511337850424581574770855e-19), SC_(0.12451945453260696576552580190880249825955248401269e1) }},
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{{ SC_(0.48457483625271488463909528606996389233426292958429e-26), SC_(0.34402809559391418553704811749276853293953368218006e-26), SC_(0.3426654976e10), SC_(0.71831384058159540985490355058964459192302194019864e-3) }},
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{{ SC_(0.51977933341075693398899317919762114747383096799438e-26), SC_(0.266911591494591876579813490688e30), SC_(0.53580234866956732986409406294114887714385986328125e-11), SC_(0.93375161793411865686174480682610243788243937917932e-13) }},
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{{ SC_(0.73955594308673193523198369636584653936223991005372e-26), SC_(0.15995684594580228399252064264146611094474792480469e-12), SC_(0.170420291286861873152e22), SC_(0.98255728430318667072571074195808505094006175327076e-9) }},
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{{ SC_(0.16358995318300954765782308898640009098138844295667e-25), SC_(0.98936341703850100293138325469044502824544906616211e-13), SC_(0.17837596956010162360661830405206274008378386497498e-14), SC_(0.10825479757466109087874722747675913053273852855701e8) }},
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{{ SC_(0.19129386995031684168433400267318972464065419958335e-25), SC_(0.74098306733179406810366224487118565210547929972832e-30), SC_(0.40798337829960889676546298421300207337480969727039e-16), SC_(0.18975656681089523246977362390571886102543681656904e10) }},
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{{ SC_(0.20621651441981357349985057544616166528433660182218e-25), SC_(0.37752524088656425060861465681227855384349822998047e-12), SC_(0.20065922661601206578897704790875877733924426138401e-16), SC_(0.1026562701139222168152586002247636059939894265944e8) }},
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{{ SC_(0.21288901426793981534691419438692370107505096726852e-25), SC_(0.5289344906157640122368e23), SC_(0.11510209314816e14), SC_(0.54396628344807662681292826103022096566324190444093e-10) }},
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{{ SC_(0.25325901731494375978251987705874090841683295149966e-25), SC_(0.2247014312744140625e3), SC_(0.275117858615052709715247104e27), SC_(0.1755537214869906012774193839638577210495131605845e-11) }},
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{{ SC_(0.34857664908449107348958795506280082952452713251912e-25), SC_(0.4151866912841796875e2), SC_(0.84098145009994339684283693509730169685090217512879e-22), SC_(0.44454486362140376311920208456593332541577968986099e1) }},
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{{ SC_(0.34919368622379363366113344149995795887854964367758e-25), SC_(0.253342638931968e15), SC_(0.7562174072265625e3), SC_(0.92072944143905544126698873573853448498100607354808e-6) }},
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{{ SC_(0.43573388456807634241895548780677530339229715228289e-25), SC_(0.4951682e8), SC_(0.27826294978205525521980137859608542144911232096849e-25), SC_(0.55217533865229231709379440218980932604236253984141e-2) }},
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{{ SC_(0.79820903020739723608895214436397557193018231780357e-25), SC_(0.64729720161775472443612539086288393264112528413534e-17), SC_(0.68450550546432e14), SC_(0.44847121597179922927679996550818082257097417243103e-5) }},
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{{ SC_(0.87440356429873925658498856170228582591246249688943e-25), SC_(0.897631640625e4), SC_(0.386145068359375e4), SC_(0.20246560118180263593246019999683330284223142080123e-1) }},
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{{ SC_(0.94440849851249091320281320378524601844016927998382e-25), SC_(0.339495296e9), SC_(0.27455182077952e14), SC_(0.13429247262567663626711145473545103648849120559512e-5) }},
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{{ SC_(0.14235380836999617679740726134029336127093459674064e-24), SC_(0.13978527726259656235898667313173260930711863658793e-24), SC_(0.2028485946357250213623046875e-1), SC_(0.19206251584392463442370997640025081765353159971305e3) }},
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{{ SC_(0.19953517994584643852448181812338140391502663839596e-24), SC_(0.20741449842688e14), SC_(0.4743499375e6), SC_(0.22359243991203761053744717290515382846472784535058e-5) }},
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{{ SC_(0.24754359063412526643006257824154938047573476511687e-24), SC_(0.542938704356835328e18), SC_(0.44974670432440498891960159215184658369128360699829e-26), SC_(0.67866272584068105190014692037620145928646359916575e-7) }},
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{{ SC_(0.31317834636651731435069138009717243018286553235541e-24), SC_(0.446171086848e12), SC_(0.49623249953612003082525916397571563720703125e-9), SC_(0.38191286535568014551586929918910276720789086531549e-4) }},
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{{ SC_(0.47603821186323272660218327918596801064457513241734e-24), SC_(0.2276554752e10), SC_(0.1719185896217823028564453125e-1), SC_(0.29742088232825551204748453119751505500500823727615e-3) }},
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{{ SC_(0.49794778812580822691949943719295546451682199506905e-24), SC_(0.1241846768099137683456e22), SC_(0.16907547929525060340181807204941172504655995389999e-25), SC_(0.1517664520587024793869311011872864378396584169184e-8) }},
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{{ SC_(0.56225779987930131445265275562229206527363467582603e-24), SC_(0.59220483766176692878700381014733800100202643079683e-19), SC_(0.170295034922225631232e22), SC_(0.11622667635419788310904431315435991769296091794395e-8) }},
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{{ SC_(0.59662314470867055698475524004384740249344598606029e-24), SC_(0.3658255674684168267104256e25), SC_(0.347205125e7), SC_(0.11573263812518641898043129899137636153559584538173e-10) }},
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{{ SC_(0.63171350201374448567926894124993295043246632758382e-24), SC_(0.34594001439795600424927311319582115491182941913878e-27), SC_(0.63795086741914598182229839666991088459324643622494e-23), SC_(0.10133993353996022465682119843291432134218242147239e13) }},
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{{ SC_(0.13769532587968157644195235343886302517048270122046e-23), SC_(0.2007315487162486533634364604949951171875e-6), SC_(0.484821384427736035149791860021650791168212890625e-10), SC_(0.12389402269001445927668245292756768857373060188716e5) }},
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{{ SC_(0.1809900535358029636909945199492450026643175498009e-23), SC_(0.4521496521192602813243865966796875e-5), SC_(0.8669365225699721122509799897670745849609375e-10), SC_(0.32060615134261499907655037885120005642674260522623e4) }},
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{{ SC_(0.23768503319901658006414734019219381138884883419848e-23), SC_(0.545301093941248e15), SC_(0.1237108193663516431115567684173583984375e-9), SC_(0.12743839987290518287222259493370574805423695673748e-5) }},
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{{ SC_(0.30307608021550191165014175615417981032514993522398e-23), SC_(0.112407951746718026697635650634765625e-5), SC_(0.2082685879058432e16), SC_(0.56691050322635168060617985774434728756046014923614e-6) }},
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{{ SC_(0.62520772668534154026944814518561754825703991045316e-23), SC_(0.19445130267235161963321360384e29), SC_(0.27158976561908717618255837411567199524142779409885e-16), SC_(0.38026907216974328094743665088443755531206213714277e-12) }},
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{{ SC_(0.10943329334993736046425619587286570504047755747479e-22), SC_(0.29924868096e11), SC_(0.2513091862201690673828125e0), SC_(0.81727074296930034500798079272025541361956733831224e-4) }},
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{{ SC_(0.11566333023752935340761337633447216211718400202813e-22), SC_(0.18755437374336002170666266863907623019258608110249e-17), SC_(0.776579078820560653184656985104084014892578125e-9), SC_(0.40565905858913068184819366045065677568636761097112e6) }},
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{{ SC_(0.12363192189691982984868135714653404610974263277967e-22), SC_(0.35982240840770946433031796107826494335313327610493e-16), SC_(0.322920703887939453125e1), SC_(0.11632490874358186871413249990505026788809575604058e2) }},
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{{ SC_(0.13102694856934221302627057835335012189043046859638e-22), SC_(0.557648090759990083584e22), SC_(0.511986668338959560742296162061393260955810546875e-10), SC_(0.51248664482931459540724013275829878903910451492033e-9) }},
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{{ SC_(0.22752379870925977520487843277428559665698237779452e-22), SC_(0.169495918280704e15), SC_(0.106314858496e12), SC_(0.38973804069223761667690578386406821821893138424283e-6) }},
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{{ SC_(0.25335998731998849030698736206528910198942927678445e-22), SC_(0.99404931640625e3), SC_(0.204871795654296875e3), SC_(0.71159937657740084998191009093579819438581801376454e-1) }},
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{{ SC_(0.34646067293379381351152691325339738961930358129848e-22), SC_(0.26973976499394821796760860105960760360263583912399e-23), SC_(0.238645943284598871514390339143574237823486328125e-10), SC_(0.30233137727518071307294329779222831890404522453607e7) }},
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{{ SC_(0.37901014673404386117887019380781393404489243437183e-22), SC_(0.2586026539574959315359592437744140625e-5), SC_(0.13906271765126904778015790844071007475134249542492e-23), SC_(0.1280499683576237130421033280426088849010239336608e5) }},
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{{ SC_(0.71863877935764437100797607417958061393203905709015e-22), SC_(0.174722980453023744e19), SC_(0.13073324703744e14), SC_(0.551341711330108745264600223041680382705817370824e-8) }},
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{{ SC_(0.15427949623089271042983806318685344877161824683753e-21), SC_(0.47543684043676020384294744758335582446306943893433e-14), SC_(0.3374483874642825322028299383742755000492569610633e-30), SC_(0.14514502843791109783476535555536915858928043263431e9) }},
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{{ SC_(0.34863327790830662300885857654195697230559147783424e-21), SC_(0.941622257232666015625e-2), SC_(0.1611729536e10), SC_(0.35667604443925075539035226902339321756810277364901e-3) }},
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{{ SC_(0.37816734667556745747025163289015137202397909277352e-21), SC_(0.24983507829808709876928674020746257156133651733398e-14), SC_(0.3642084375e5), SC_(0.12287059533687168356517432791650885505026509128221e0) }},
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{{ SC_(0.96362472102334232055222076765519517715929964651878e-21), SC_(0.229194643907248973846435546875e-3), SC_(0.354709317473833607436972670257091522216796875e-9), SC_(0.53342978039746190271353828468457072780992822953649e3) }},
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{{ SC_(0.27589042212186362242123678200494962808875243354123e-20), SC_(0.16342684e8), SC_(0.10564504593401150001064081607182743027806282043457e-12), SC_(0.6092631429182695881654167011697706266534023656226e-2) }},
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{{ SC_(0.7376334675354954747676196864e28), SC_(0.3832167254355459644063744e25), SC_(0.86986000872677090266227306614155168063007295131683e-15), SC_(0.60174664703890956134939928112815630373518374796924e-13) }},
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{{ SC_(0.1240879712420966629044649984e29), SC_(0.35030939907262229474824187104684165838808240778235e-22), SC_(0.23553908385443359223970771765266363217961043119431e-16), SC_(0.47464339774120723669000561802171052279059315153073e-12) }},
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{{ SC_(0.13622372113626680630865559552e29), SC_(0.5065993732313771067901500902430633743733778828755e-18), SC_(0.1568245533434264871175400912761688232421875e-11), SC_(0.40583512551936497170672012442547588122036553493224e-12) }},
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{{ SC_(0.21413030105610117647127543808e29), SC_(0.56796892335439872e17), SC_(0.44545595303495604738852208133448318250202646595426e-19), SC_(0.10055266250578662063485344934342287093203087991764e-12) }},
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{{ SC_(0.240611655851932728105631744e29), SC_(0.15126033260477136128765155826087636266509091563425e-30), SC_(0.147685372829437255859375e1), SC_(0.21832951144880765009500199074282822236333957933832e-12) }},
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{{ SC_(0.61731988312258099732254031872e29), SC_(0.47155488899394500240213479534565823420775918905622e-28), SC_(0.4463543296e10), SC_(0.94272971828494080864224866724511415301020102514649e-13) }},
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{{ SC_(0.74469943825056746033385570304e29), SC_(0.25381451890023692523876122624e29), SC_(0.353061568e9), SC_(0.73993207202984769111475156231178550093712585836288e-14) }},
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{{ SC_(0.117661009908837424815142862848e30), SC_(0.434518829345703125e3), SC_(0.429355800151824951171875e0), SC_(0.9266881807310148034392861576649650379030278607074e-13) }},
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{{ SC_(0.593089902380358100434877939712e30), SC_(0.6506956228718475954142519412926048971712589263916e-14), SC_(0.61562469482421875e2), SC_(0.43634363152950073747311554335524072760111106270713e-13) }},
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{{ SC_(0.1138966491359350198995104301056e31), SC_(0.16628866613248e14), SC_(0.83722254681922700089433337836521478725337885862245e-21), SC_(0.19460821722924338220942178264562269988472467417183e-13) }}
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}};
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