// Copyright John Maddock 2008
// 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)
//
// High precision test data generated with NTL::RR at 1000 bit presision, a few values
// (5) are commented out as they are too close to numeric_limits<double>::min(), to expect
// our implementation to cope :-(
//
#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
   static const boost::array<boost::array<T, 7>, 1542-5> hypergeometric_dist_data2 = {{
      { SC_(3), SC_(3), SC_(4), SC_(3), SC_(0.25), SC_(1), SC_(0) }, 
      { SC_(3), SC_(3), SC_(15), SC_(1), SC_(0.4351648351648351648351648351648351648351648351648351648351648351648351648351648351648351648351648352), SC_(0.9186813186813186813186813186813186813186813186813186813186813186813186813186813186813186813186813187), SC_(0.08131868131868131868131868131868131868131868131868131868131868131868131868131868131868131868131868132) }, 
      { SC_(3), SC_(3), SC_(29), SC_(1), SC_(0.2668308702791461412151067323481116584564860426929392446633825944170771756978653530377668308702791461), SC_(0.9783798576902025177887246852764094143404488232074438970990695128626163108921729611384783798576902025), SC_(0.02162014230979748221127531472359058565955117679255610290093048713738368910782703886152162014230979748) }, 
      { SC_(3), SC_(3), SC_(36), SC_(0), SC_(0.7641456582633053221288515406162464985994397759103641456582633053221288515406162464985994397759103641), SC_(0.7641456582633053221288515406162464985994397759103641456582633053221288515406162464985994397759103641), SC_(0.2358543417366946778711484593837535014005602240896358543417366946778711484593837535014005602240896359) }, 
      { SC_(3), SC_(3), SC_(126), SC_(1), SC_(0.06915207373271889400921658986175115207373271889400921658986175115207373271889400921658986175115207373), SC_(0.9988632872503840245775729646697388632872503840245775729646697388632872503840245775729646697388632873), SC_(0.00113671274961597542242703533026113671274961597542242703533026113671274961597542242703533026113671275) }, 
      { SC_(3), SC_(3), SC_(244), SC_(1), SC_(0.03627933583224194252510198858932092911228529708410483373225549082479037769648797964744313477547456683), SC_(0.9996972540440001940250325744612878244274170752064443072888179693942237409698909947295441582575213971), SC_(0.000302745955999805974967425538712175572582924793555692711182030605776259030109005270455841742478602886) }, 
      { SC_(3), SC_(3), SC_(312), SC_(1), SC_(0.02847574062696975257912919981170162686602889901302928997151588169117471057103875276264032617108024223), SC_(0.9998148931247157572227585711664126766294591209019172923332242904901342822720273192215936744512618385), SC_(0.0001851068752842427772414288335873233705408790980827076667757095098657177279726807784063255487381615377) }, 
      { SC_(3), SC_(3), SC_(835), SC_(2), SC_(0.2581655589043871544223599921164347357001646994902729971495771013355154666872564732609107917496038177e-4), SC_(0.999999989656828569535771056796474674822326294063914283242267742404763568288643161568250269995561228), SC_(0.1034317143046422894320352532517767370593608571675773225759523643171135683843174973000443877201938372e-7) }, 
      { SC_(3), SC_(3), SC_(1339), SC_(2), SC_(0.1003947183170306346342155134292225965295905454265948800011213749375291485656947505252493605792007758e-4), SC_(0.9999999974951417585571198943559003635423503859882598446458363273173309646325062733110092184319021812), SC_(0.2504858241442880105644099636457649614011740155354163672682669035367493726688990781568097818842334726e-8) }, 
      { SC_(3), SC_(3), SC_(2247), SC_(0), SC_(0.9959982256598179603781831335142372603637685458403018690405199622630601323646210027212323518973270201), SC_(0.9959982256598179603781831335142372603637685458403018690405199622630601323646210027212323518973270201), SC_(0.004001774340182039621816866485762739636231454159698130959480037736939867635378997278767648102672979931) }, 
      { SC_(3), SC_(3), SC_(6337), SC_(3), SC_(0.2358879496308800831829226846824974806129072443631243697852416096666081626809510143119559709141024524e-10), SC_(1), SC_(0) }, 
      { SC_(3), SC_(3), SC_(10473), SC_(0), SC_(0.9991408114976269951015415508516841451171918547688566755322788787348098070250189775285068875184289701), SC_(0.9991408114976269951015415508516841451171918547688566755322788787348098070250189775285068875184289701), SC_(0.0008591885023730048984584491483158548828081452311433244677211212651901929749810224714931124815710299385) }, 
      { SC_(3), SC_(3), SC_(19470), SC_(1), SC_(0.0004621546458171547706035663976460440873902809077223878291601948898604009482839619586692293887835934892), SC_(0.9999999525159191114148724475287847286487033774428645094517372539046053407646527981249525685746332899), SC_(0.474840808885851275524712152713512966225571354905482627460953946592353472018750474314253667100720009e-7) }, 
      { SC_(3), SC_(3), SC_(50688), SC_(1), SC_(0.000177542806299746271839033476123055921258690574273239708494936745387243192897196272502864976921637669), SC_(0.9999999929940820013404761079588834178272825101176741447805926107966813260382970495239146011235174132), SC_(0.7005917998659523892041116582172717489882325855219407389203318673961702950476085398876482586792219422e-8) }, 
      { SC_(3), SC_(3), SC_(130605), SC_(0), SC_(0.9999310909828938264780256376352712049908502603854155913311921295205351793875440461586537741274280803), SC_(0.9999310909828938264780256376352712049908502603854155913311921295205351793875440461586537741274280803), SC_(0.6890901710617352197436236472879500914973961458440866880787047946482061245595384134622587257191965793e-4) }, 
      { SC_(3), SC_(3), SC_(256574), SC_(3), SC_(0.3552371635159513860325600038240152740963615324848620192169438646974730526842238040838310286570387811e-15), SC_(1), SC_(0) }, 
      { SC_(3), SC_(3), SC_(523360), SC_(0), SC_(0.9999828034897454825588550340971601268382643851743865821447352933652727689275377226040612992775727358), SC_(0.9999828034897454825588550340971601268382643851743865821447352933652727689275377226040612992775727358), SC_(0.1719651025451744114496590283987316173561482561341785526470663472723107246227739593870072242726417493e-4) }, 
      { SC_(3), SC_(3), SC_(1030167), SC_(0), SC_(0.9999912635693755541371926426083995287806774581972598520754866150606576927567956450750202377959147594), SC_(0.9999912635693755541371926426083995287806774581972598520754866150606576927567956450750202377959147594), SC_(0.8736430624445862807357391600471219322541802740147924513384939342307243204354924979762204085240624246e-5) }, 
      { SC_(3), SC_(3), SC_(2063277), SC_(2), SC_(0.4228218588078016537393349224242898158519654500706774154042360990115337890442550174169690336289444862e-11), SC_(0.9999999999999999993169078871608882230549845820699047309406224442792096195912643384389346637753886614), SC_(0.6830921128391117769450154179300952690593775557207903804087356615610653362246113385544044834804609231e-18) }, 
      { SC_(3), SC_(3), SC_(2427690), SC_(1), SC_(0.3707221750341069722722473098862872930454653367564927579893098340856950440114769756467321264276216895e-5), SC_(0.9999999999969458799372235119189781595585754725019076995712217203898365865515984553898056310910853473), SC_(0.3054120062776488081021840441424527498092300428778279610163413448401544610194368908914652696290939e-11) }, 
      { SC_(4), SC_(3), SC_(15), SC_(3), SC_(0.008791208791208791208791208791208791208791208791208791208791208791208791208791208791208791208791208791), SC_(1), SC_(0) }, 
      { SC_(4), SC_(3), SC_(29), SC_(3), SC_(0.001094690749863163656267104542966611932129173508483853311439518336070060207991242474001094690749863164), SC_(1), SC_(0) }, 
      { SC_(4), SC_(3), SC_(36), SC_(0), SC_(0.6946778711484593837535014005602240896358543417366946778711484593837535014005602240896358543417366947), SC_(0.6946778711484593837535014005602240896358543417366946778711484593837535014005602240896358543417366947), SC_(0.3053221288515406162464985994397759103641456582633053221288515406162464985994397759103641456582633053) }, 
      { SC_(4), SC_(3), SC_(126), SC_(1), SC_(0.09070353302611367127496159754224270353302611367127496159754224270353302611367127496159754224270353303), SC_(0.9977388632872503840245775729646697388632872503840245775729646697388632872503840245775729646697388633), SC_(0.002261136712749615975422427035330261136712749615975422427035330261136712749615975422427035330261136713) }, 
      { SC_(4), SC_(3), SC_(244), SC_(2), SC_(0.0006021466528172936518689126736816751719881377109394993150581824203284709991118336870944918634933538063), SC_(0.999998327370408840850967030798128662013411144061914056946347060604387976469446911573091404189268074), SC_(0.1672629591159149032969201871337986588855938085943053652939395612023530553088426908595810731925982795e-5) }, 
      { SC_(4), SC_(3), SC_(312), SC_(1), SC_(0.03772190883486392251043220859629945824324000861704419426647411296306639113401897345471663488466724646), SC_(0.9996305841238939465264535278019356434458602283516711480615639935212593650515027965499908244436820311), SC_(0.0003694158761060534735464721980643565541397716483288519384360064787406349484972034500091755563179689308) }, 
      { SC_(4), SC_(3), SC_(835), SC_(0), SC_(0.9856803963130937982395818793635577696378167861294347575759722749221172120250331640862953547420777642), SC_(0.9856803963130937982395818793635577696378167861294347575759722749221172120250331640862953547420777642), SC_(0.0143196036869062017604181206364422303621832138705652424240277250778827879749668359137046452579222358) }, 
      { SC_(4), SC_(3), SC_(1339), SC_(2), SC_(0.2006391451395746964620923808802577340823403864438685101818817897329362475077881616036046352892710116e-4), SC_(0.9999999899805670342284795774236014541694015439530393785833453092693238585300250932440368737276087246), SC_(0.1001943296577152042257639854583059845604696062141665469073067614146997490675596312627239127536933891e-7) }, 
      { SC_(4), SC_(3), SC_(2247), SC_(0), SC_(0.9946666772297914657787470598063305260584693900303549414081128500140453460914062687603750893947904866), SC_(0.9946666772297914657787470598063305260584693900303549414081128500140453460914062687603750893947904866), SC_(0.00533332277020853422125294019366947394153060996964505859188714998595465390859373123962491060520951338) }, 
      { SC_(4), SC_(3), SC_(6337), SC_(1), SC_(0.001891847586779657220992289872156166488235360255077830625107557828393192391528917256534678376235067316), SC_(0.9999991035786138127295078882572136695730741748298899712547699421248349449556601798499554117049193322), SC_(0.8964213861872704921117427863304269258251701100287452300578751650550443398201500445882950806677721395e-6) }, 
      { SC_(4), SC_(3), SC_(10473), SC_(1), SC_(0.001145147061888397702122110660001930252283314446726483295739001580211816397736411435562758610336308275), SC_(0.9999996717940432933781331338466855928064043406039015380040831299199686693233212861051789564761812013), SC_(0.3282059567066218668661533144071935956593960984619959168700800313306766787138948210435238187987321505e-6) }, 
      { SC_(4), SC_(3), SC_(19470), SC_(0), SC_(0.9993837621484391269391302975464367060307904716165822291704854305575073462056712912693552634670662399), SC_(0.9993837621484391269391302975464367060307904716165822291704854305575073462056712912693552634670662399), SC_(0.0006162378515608730608697024535632939692095283834177708295145694424926537943287087306447365329337601333) }, 
      { SC_(4), SC_(3), SC_(50688), SC_(2), SC_(0.1401146740059159687000362838102443888793059676616274704507737953139928522420410555413751420906679839e-7), SC_(0.9999999999998157016362745429606976083395019540829725278619661333353710917379396616259673781922745177), SC_(0.1842983637254570393023916604980459170274721380338666646289082620603383740326218077254822588202299001e-12) }, 
      { SC_(4), SC_(3), SC_(130605), SC_(3), SC_(0.1077312767938766344390907616615286138463711258594000990959287806376972053683257695934949699507976875e-13), SC_(1), SC_(0) }, 
      { SC_(4), SC_(3), SC_(256574), SC_(3), SC_(0.1420948654063805544130240015296061096385446129939448076867775458789892210736894719317979792309046884e-14), SC_(1), SC_(0) }, 
      { SC_(4), SC_(3), SC_(523360), SC_(2), SC_(0.1314318489170914747961350984206668104616213903674985872735338593180689053854775895523763664456140065e-9), SC_(0.9999999999999998325781444917144037122785784811016969180680195157170424802825618788227889935366343215), SC_(0.1674218555082855962877214215188983030819319804842829575197174381211772110064633656785356306142944377e-15) }, 
      { SC_(4), SC_(3), SC_(1030167), SC_(1), SC_(0.116485289360067976066396337974349660300380614138788758148273861062187583424300947722703945197920028e-4), SC_(0.9999999999660775592353976223337476050051999867433202612323477356002373559905965339602305294458630394), SC_(0.3392244076460237766625239499480001325667973876765226439976264400940346603976947055413696055605937866e-10) }, 
      { SC_(4), SC_(3), SC_(2063277), SC_(3), SC_(0.2732368451356447107780061671720381076237510222883161521634942646244261344898444398493772797510164856e-17), SC_(1), SC_(0) }, 
      { SC_(4), SC_(3), SC_(2427690), SC_(3), SC_(0.1677382432156413377242616054304921472914716600670585866309205358076859280920068600936144194911254535e-17), SC_(1), SC_(0) }, 
      { SC_(4), SC_(4), SC_(15), SC_(2), SC_(0.2417582417582417582417582417582417582417582417582417582417582417582417582417582417582417582417582418), SC_(0.967032967032967032967032967032967032967032967032967032967032967032967032967032967032967032967032967), SC_(0.03296703296703296703296703296703296703296703296703296703296703296703296703296703296703296703296703297) }, 
      { SC_(4), SC_(4), SC_(29), SC_(2), SC_(0.07578628268283440697233800682076544145509662751042061386888973095869647593785524820007578628268283441), SC_(0.9957475474716854027198854785061681613405751336785819544440234095406509199612647888509957475474716854), SC_(0.004252452528314597280114521493831838659424866321418045555976590459349080038735211149004252452528314597) }, 
      { SC_(4), SC_(4), SC_(36), SC_(2), SC_(0.05052202699261522790934555640437993379169849758085052202699261522790934555640437993379169849758085052), SC_(0.9978100331041507512095747389865036923860453272217978100331041507512095747389865036923860453272217978), SC_(0.00218996689584924879042526101349630761395467277820218996689584924879042526101349630761395467277820219) }, 
      { SC_(4), SC_(4), SC_(126), SC_(1), SC_(0.1179883356437251008454785008679579883356437251008454785008679579883356437251008454785008679579883356), SC_(0.995526581993930538383724851073395526581993930538383724851073395526581993930538383724851073395526582), SC_(0.004473418006069461616275148926604473418006069461616275148926604473418006069461616275148926604473418006) }, 
      { SC_(4), SC_(4), SC_(244), SC_(4), SC_(0.6940371747548336236386729756589155970356589568228438393939400879765686942275630326123695983095364296e-8), SC_(1), SC_(0) }, 
      { SC_(4), SC_(4), SC_(312), SC_(2), SC_(0.0007324642492206586895229555067242613251114564780008581410965847177294444880392033680527501919352863389), SC_(0.9999968162485042758712150055552977741084159565906715771321122858801240872955223982340171995396496742), SC_(0.3183751495724128784994444702225891584043409328422867887714119875912704477601765982800460350325761298e-5) }, 
      { SC_(4), SC_(4), SC_(835), SC_(2), SC_(0.0001028941677509724898412851084980980319980090827127785192792956118852539541178586164607109839551672529), SC_(0.9999998346584374697424940569628764124242063834736297681756742475761483873064351548770776333425052069), SC_(0.1653415625302575059430371235875757936165263702318243257524238516126935648451229223666574947930983215e-6) }, 
      { SC_(4), SC_(4), SC_(1339), SC_(0), SC_(0.9880909320426824437134692361830228840844758238421095618838255536221414907847590547315977953304078473), SC_(0.9880909320426824437134692361830228840844758238421095618838255536221414907847590547315977953304078473), SC_(0.01190906795731755628653076381697711591552417615789043811617444637785850921524094526840220466959215269) }, 
      { SC_(4), SC_(4), SC_(2247), SC_(0), SC_(0.9928936528497027109377867263663905429460657012780726687852819893188331440484625855718539216775092202), SC_(0.9928936528497027109377867263663905429460657012780726687852819893188331440484625855718539216775092202), SC_(0.007106347150297289062213273633609457053934298721927331214718010681166855951537414428146078322490779845) }, 
      { SC_(4), SC_(4), SC_(6337), SC_(2), SC_(0.1792088020315431532357710646185190863500499136480420547938955947325411169746369362047374527535586343e-5), SC_(0.9999999996226239704452740671125367621685059250794582114650439116028086076612450530346364353921831), SC_(0.3773760295547259328874632378314940749205417885349560883971913923387549469653635646078168999789679461e-9) }, 
      { SC_(4), SC_(4), SC_(10473), SC_(0), SC_(0.9984729184189811975305760619552847385187612855550137652891623349764942906131013656439544533776439971), SC_(0.9984729184189811975305760619552847385187612855550137652891623349764942906131013656439544533776439971), SC_(0.001527081581018802469423938044715261481238714444986234710837665023505709386898634356045546622356002859) }, 
      { SC_(4), SC_(4), SC_(19470), SC_(1), SC_(0.0008213972463335401464543116433319457182150638283179388537898888831828282498223013643761074749819211917), SC_(0.9999998100831892820489710312789356653194517694878206833108278472198944673930380172926373440733026808), SC_(0.1899168107179510289687210643346805482305121793166891721527801055326069619827073626559266973192396099e-6) }, 
      { SC_(4), SC_(4), SC_(50688), SC_(3), SC_(0.7371789102938592940714151264226464838607396937246521085174380076366727946705655482101878509258780512e-12), SC_(0.9999999999999999963638480077842154621211076157039377127853972963625004512398488298246350195793270647), SC_(0.36361519922157845378788923842960622872146027036374995487601511701753649804206729352960887603872921e-17) }, 
      { SC_(4), SC_(4), SC_(130605), SC_(0), SC_(0.9998774974256664887745632210109924461885365380324673187739144251096710547802769442529237855403490051), SC_(0.9998774974256664887745632210109924461885365380324673187739144251096710547802769442529237855403490051), SC_(0.0001225025743335112254367789890075538114634619675326812260855748903289452197230557470762144596509948626) }, 
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      { SC_(10473), SC_(312), SC_(19470), SC_(220), SC_(0.4559307236688022436648508807971245026407418486978069455804074761032777240850731633153050970407190673e-9), SC_(0.9999999995911343687010815034625705717112543312962932170281699680584552233220941919345437446820280641), SC_(0.4088656312989184965374294282887456687037067829718300319415447766779058080654562553179719359058818826e-9) }, 
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      { SC_(10473), SC_(312), SC_(256574), SC_(197), SC_(0.2392258725782898212957391954202455183566451003424916411400137112497869896292163167605268576212160462e-188), SC_(1), SC_(0.5946584605429456304736785408126173278900851897686177769823714902610789563874268850497782501605896695e-190) }, 
      { SC_(10473), SC_(312), SC_(523360), SC_(11), SC_(0.02681679950539037130074528328242701569228616001428129733356555054878852844095781380117446570333624126), SC_(0.9751844406690695702742015640759797709320069752538674431982886738393874617473514178723800859854455349), SC_(0.02481555933093042972579843592402022906799302474613255680171132616061253825264858212761991401455446514) }, 
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      { SC_(10473), SC_(312), SC_(2063277), SC_(54), SC_(0.4738794576881264791554289025565236807708775686950027269467495731857458851098641138654609609077081112e-63), SC_(0.9999999999999999999999999999999999999999999999999999999999999999884471671417074549616459183229209638), SC_(0.1155283285829254503835408167707903623978512241340031913221732392463715100165731473098449300483711266e-64) }, 
      { SC_(10473), SC_(312), SC_(2427690), SC_(54), SC_(0.8843826003795339457681488141391333190505899441247583286301786053514419852254996866497453098909066278e-67), SC_(0.9999999999999999999999999999999999999999999999999999999999999999999981755704067598094195305505400228), SC_(0.1824429593240190580469449459977150990481120818329633155227000704596407976341215127476971520749823115e-68) }, 
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      { SC_(10473), SC_(835), SC_(50688), SC_(704), SC_(0.178287746938317031639049657938648766364525106536724281535690042465037837973719716212165092288233541e-346), SC_(1), SC_(0.8452795665397214669388314478513364991012616186000006870514482736570243677004970486032836858550995969e-348) }, 
      { SC_(10473), SC_(835), SC_(130605), SC_(225), SC_(0.3351736685114387627716133015705795776777192109052393840915347109646912444154656613362823898534277977e-59), SC_(0.9999999999999999999999999999999999999999999999999999999999989931746223995058010886988116457964883398), SC_(0.1006825377600494198911301188354203511660166365445446154288473551434462903221283774828884795593398435e-59) }, 
      { SC_(10473), SC_(835), SC_(256574), SC_(647), SC_(0.2898470237476624559879538684565767505073457463606731462214747765134268576723920950106626434761903295e-718), SC_(1), SC_(0.3399173309371244139991036070672975601911334074995989862162856718850195577253195012986118345109756953e-720) }, 
      { SC_(10473), SC_(835), SC_(523360), SC_(83), SC_(0.2425099897594934941198081062076907471595446724530007323365129864945389422837360119471524338832938231e-31), SC_(0.9999999999999999999999999999999946369770041562631742880986001207301159729292428610210300854026026984), SC_(0.5363022995843736825711901399879269884027070757138978969914597397301571070136812192084991725125892781e-32) }, 
      { SC_(10473), SC_(835), SC_(1030167), SC_(603), SC_(0.3330882422349393622646040200782815154729052804967498394287132336578813546613984931938089737431515726e-997), SC_(1), SC_(0.1243266464213039170821701345775776514318016845655929122997683166385539600673501366957182201829838152e-999) }, 
      { SC_(10473), SC_(835), SC_(2063277), SC_(239), SC_(0.5714643964478763937867695686886536632979036203609085469032297133849439280104583314914875051453453633e-335), SC_(1), SC_(0.7165182443520489152153266798118997130610925661276455857031263349999879026579841740997884047889522069e-337) }, 
      { SC_(10473), SC_(835), SC_(2427690), SC_(180), SC_(0.8851072866802102717040257166059240372699780690721104706602360537153365649333940617934920383940239285e-240), SC_(1), SC_(0.1385477957354884646238909719028225271502706930607609814423462896899167159459984979453353381853625361e-241) }, 
      { SC_(10473), SC_(1339), SC_(19470), SC_(481), SC_(0.1364862326728530459818902644718065497682725000145519605664465962349214279080576071561078225812425931e-41), SC_(0.2503224217781448651280394315361847552290918581097819391636540195638167636297026304340798114780953665e-41), SC_(0.9999999999999999999999999999999999999999974967757822185513487196056846381524477090814189021806083635) }, 
      { SC_(10473), SC_(1339), SC_(50688), SC_(656), SC_(0.3223558872818804547640723176864171409598836237806882375153324827201446568978953401288717542930686338e-120), SC_(1), SC_(0.112011777240362102735829304252915316098237109227862758376630311804838471710048544049091601216199531e-120) }, 
      { SC_(10473), SC_(1339), SC_(130605), SC_(899), SC_(0.63047818120127722738967687185506327092205415108401465408527724059743566030540577331780389448572703e-649), SC_(1), SC_(0.2565457654490029896570326900155311672819162113726546195433190064454517822254513102922982261651137255e-650) }, 
      //{ SC_(10473), SC_(1339), SC_(256574), SC_(474), SC_(0.203518785659476281950934415552222941808864139562855170957627515226947957872858883206028323805960837e-301), SC_(1), SC_(0.1631839064425172634241764208197138810139462522407672666840822354590785138926015197258346864306790786e-302) }, 
      { SC_(10473), SC_(1339), SC_(523360), SC_(1005), SC_(0.9331296449495271628440210755090582376064578510511456618428283823460869251557597207545352464839489806e-1406), SC_(1), SC_(0.575797476267876731079684271414200375159139357856116020247953112758362970747546502223465866728881829e-1408) }, 
      { SC_(10473), SC_(1339), SC_(1030167), SC_(682), SC_(0.532761022557672177860227953754896496746360357093530032717971514321133408605542976722104073666514969e-970), SC_(1), SC_(0.4969740636274041383574605536487997596063984621766649052069624607967634924556315597528042729931488232e-972) }, 
      { SC_(10473), SC_(1339), SC_(2063277), SC_(292), SC_(0.248373715232413476627121146798958296862060575023781825978560076259075082406264965317917404458086561e-370), SC_(1), SC_(0.4483149507495574190080628733681177411442457773686449111155267972860668264358887792297625826211120785e-372) }, 
      { SC_(10473), SC_(1339), SC_(2427690), SC_(1051), SC_(0.2265887593761264255991554102885625596650472824973631669172606644181333366279925620901460437789873003e-2208), SC_(1), SC_(0.2420782508157641642538029555835804281692649612837476641512194756779139590120235761772334891250095596e-2211) }, 
      { SC_(10473), SC_(2247), SC_(19470), SC_(2034), SC_(0.646680061681881774889453623821176958908241953087419490957793433268782444571492304172670862573647138e-349), SC_(1), SC_(0.7224087184144022101324339232439345548963117393245964679951302936754411447294406751289800859412117322e-350) }, 
      { SC_(10473), SC_(2247), SC_(50688), SC_(907), SC_(0.1499570306685635255491840421141752380378108838973695831394439353626704080517019077202577350257269734e-104), SC_(1), SC_(0.8535369878574129467314653221488654757205922425262075087219363906322024657755332338950819873243921429e-105) }, 
      { SC_(10473), SC_(2247), SC_(130605), SC_(1024), SC_(0.3079294259741135284271724958813415000609479350786060181098404620959358681975902444039509835389427219e-512), SC_(1), SC_(0.322468623591147084392129394556108112325926066911123550167169423762875338211884722051887286510929832e-513) }, 
      { SC_(10473), SC_(2247), SC_(256574), SC_(1597), SC_(0.1509110261987108352668241344661375024813748999107730675274060891180620598052869851060564510513629477e-1696), SC_(1), SC_(0.2252832074736923379458051188888616859316344465773984771993799097262561566849846492219782825748805244e-1698) }, 
      { SC_(10473), SC_(2247), SC_(523360), SC_(1595), SC_(0.1358559687554210642954893018690749494571001783618395886737923384480522879575931092005942362856517741e-2182), SC_(1), SC_(0.9687624920827451732010420476301431289871032394797775481318329357401717097825965378271032105049498788e-2185) }, 
      { SC_(10473), SC_(2247), SC_(1030167), SC_(1778), SC_(0.2073088283869054068306764283231680996410668683801513182286425662963725586714336496446437362171910777e-3115), SC_(1), SC_(0.4672925658356327727756943617852615197902556509163516158215981742180828688369085656577964775457232159e-3118) }, 
      { SC_(10473), SC_(2247), SC_(2063277), SC_(1742), SC_(0.9798258313750047798510666915398981689222657150110956819744796289496847590852221139918014473315341887e-3546), SC_(1), SC_(0.1209205803402081533299019186926616014915813682002122451515829572800295137892997783765836440737292791e-3548) }, 
      { SC_(10473), SC_(2247), SC_(2427690), SC_(1130), SC_(0.6619685297940856211573826736611136034423488412330288773252320335982491657796113592378492652146758556e-2027), SC_(1), SC_(0.2537802478266899294428381315186340650960704627133415890246949968638483976621438984929601062822126701e-2029) }, 
      { SC_(10473), SC_(6337), SC_(19470), SC_(6149), SC_(0.3389625652317688290864418372188657311369405886025935045167528196007009439598879315388692039367724169e-1856), SC_(1), SC_(0.516262349851222795824008212674787255949291965446973227090552396978789367029852982460475925658831783e-1858) }, 
      { SC_(10473), SC_(6337), SC_(50688), SC_(4202), SC_(0.6970470540620002904065534050464836094997728174390752260341085134621401670001263381951650314871528147e-1609), SC_(1), SC_(0.6362520239484871583193378389239851052363846409514744182170427465700071061282355334262837358108248406e-1610) }, 
      { SC_(10473), SC_(6337), SC_(130605), SC_(6329), SC_(BOOST_MATH_SMALL_CONSTANT(0.4358652987584007202257896858534549119423424915348602556700871963302970495430636148619036902144573757e-7922)), SC_(1), SC_(BOOST_MATH_SMALL_CONSTANT(0.1900384495520811308655204878486430921457113124741692643277437965039981178948987173638121323946922506e-7926)) }, 
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      { SC_(10473), SC_(6337), SC_(1030167), SC_(907), SC_(0.165889090615039873939631279604814613427453540596492487591191730124400494388755683356826468496984924e-718), SC_(1), SC_(0.9914833455754618112979481835649961694268039091902648448579792393681477629517588567889571999149662392e-720) }, 
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      { SC_(10473), SC_(10473), SC_(19470), SC_(10222), SC_(0.232176076494910574627491618848872550158244106810655170103294645593622818122737427278278410667702451e-4825), SC_(1), SC_(0.1636933403548001657973800880912164524245845127505268602908100804547350633633034114682340681374520837e-4828) }, 
      { SC_(10473), SC_(10473), SC_(50688), SC_(8695), SC_(BOOST_MATH_SMALL_CONSTANT(0.5599835536704939070078365520614185454795258686134727114491288031301984616048241967729772448492083996e-5981)), SC_(1), SC_(BOOST_MATH_SMALL_CONSTANT(0.5346629944552498186245479477139475041960866359542513860676367946862886040159275682955316718632231764e-5983)) }, 
      { SC_(10473), SC_(10473), SC_(130605), SC_(8356), SC_(BOOST_MATH_SMALL_CONSTANT(0.8470087940293155166578665437576866760914885543706746013129152278946538347531119068129483778786781697e-8926)), SC_(1), SC_(BOOST_MATH_SMALL_CONSTANT(0.386646597984919876751741241600890685536659858718829399763342629543608830607390340705304275696806045e-8928)) }, 
      { SC_(10473), SC_(10473), SC_(256574), SC_(4427), SC_(0.3514427930804025423763954720854603366597323066849774767077897163299965210006739237660000186926559597e-3581), SC_(1), SC_(0.1251582388507550852508965517277196668848768130829506498596150700755097191053684439730659150019647233e-3582) }, 
      { SC_(10473), SC_(10473), SC_(523360), SC_(2743), SC_(0.504270955429900770438109090048491453486599933371325104290466937499829733144917406266852548661570009e-2265), SC_(1), SC_(0.2271618727269752249645213900494422046475776467017347629948838560449257547299867545456805858983955468e-2266) }, 
      { SC_(10473), SC_(10473), SC_(1030167), SC_(1840), SC_(0.3527529968092875050953921861289275622725779971993119535362757176989405962456747351663332336698247924e-1660), SC_(1), SC_(0.1471278062711829984904788013738329116989710513192869791301438012551506320700258584304706293857378659e-1661) }, 
      { SC_(10473), SC_(10473), SC_(2063277), SC_(6550), SC_(BOOST_MATH_SMALL_CONSTANT(0.7970331005886673655672024634426030425282082568179511324599500165732380396567208730918925299601243268e-13193)), SC_(1), SC_(BOOST_MATH_SMALL_CONSTANT(0.9149267908611955742113708185129115471611093036511846654405945196656014450931710673179923310935994776e-13196)) }, 
      { SC_(10473), SC_(10473), SC_(2427690), SC_(2865), SC_(0.7061711765528215415140537522186488982266631488315721139755523130347396468536346162661062166038264485e-4307), SC_(1), SC_(0.5968719023791774414389271090477348120461526899071619354497127249533515310282702345811674292035990173e-4309) }, 
      { SC_(19470), SC_(3), SC_(50688), SC_(2), SC_(0.2726127509746102753275935067358178538493769715306106751561291219726854452175294385343073889183562491), SC_(0.9433315711451330125773849446992877829164833228505143547105353562414393379087400099367256470896858708), SC_(0.05666842885486698742261505530071221708351667714948564528946464375856066209125999006327435291031412921) }, 
      { SC_(19470), SC_(3), SC_(130605), SC_(2), SC_(0.05672993297660790697626696784512705849469250246585994438090714075840689082799501781857472597029820584), SC_(0.9966874571911380971100794369310330271748333899071538777246666960108068565685303497903878087046400878), SC_(0.003312542808861902889920563068966972825166610092846122275333303989193143431469650209612191295359912208) }, 
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      { SC_(1030167), SC_(50688), SC_(2063277), SC_(5958), SC_(BOOST_MATH_SMALL_CONSTANT(0.2696611800809340133866864913059483733762650252007098931107252423414951968838899485622090902801604347e-7429)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3094335971442905044072386934961293807150112770244272987590834754277833101226687685341807913602359489e-7429)), SC_(1) }, 
      { SC_(1030167), SC_(50688), SC_(2427690), SC_(24749), SC_(0.2578716269345720961744344112334709803169389018972677518401353907891401845167717494934082857214768696e-188), SC_(1), SC_(0.8538547595672537381757380908369587958654029695913527955575657852406906964195281915375545945375373932e-188) }, 
      { SC_(1030167), SC_(130605), SC_(2063277), SC_(67199), SC_(0.1772402217747576023975265826925769595264611577464025377584499804202175059831312745179381288679219898e-30), SC_(0.9999999999999999999999999999973844048905181626720565455251696667915520055031995673391485820685310697), SC_(0.2615595109481837327943454474830333208447994496800432660851417931468930325870724472627377999209154375e-29) }, 
      { SC_(1030167), SC_(130605), SC_(2427690), SC_(62807), SC_(0.2526562134449195027792279400361520142369933233947774941848233866437381584491456912781842143198296159e-391), SC_(1), SC_(0.9235445258826835146504359095658972972561150774551460899132768721999586312051548667127893915560202981e-391) }, 
      { SC_(1030167), SC_(256574), SC_(2063277), SC_(136078), SC_(0.1889505875800464975393622983597902398805285201058519859012948813401757384027515978291586034505061829e-248), SC_(1), SC_(0.1236113837302074642637204443211773020459272585535378891152669651196365415708839777030544349579933748e-247) }, 
      { SC_(1030167), SC_(256574), SC_(2427690), SC_(5059), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.3415687552349317027106561182030892561608054053847049256991933370024960969305479793930443943170209826e-55782))), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.3494259919719804048098668133719877462120862735795090904931820959068567376960513319071259582269982684e-55782))), SC_(1) }, 
      { SC_(1030167), SC_(523360), SC_(2063277), SC_(45322), SC_(BOOST_MATH_SMALL_CONSTANT(0.6406250319059851000414186122521980525283948930917260704720124702812431881419266715502486311348930843e-116984)), SC_(BOOST_MATH_SMALL_CONSTANT(0.6767892889836179660205690345292677556531677014893649920196102930641077389045148072153989233371368326e-116984)), SC_(1) }, 
      { SC_(1030167), SC_(523360), SC_(2427690), SC_(169882), SC_(BOOST_MATH_SMALL_CONSTANT(0.2359533635629512164764734112351286744012027902065592462710641731769499440473362833287635226506536775e-6029)), SC_(BOOST_MATH_SMALL_CONSTANT(0.5661726060614987628669304125055108672612592607173491522003446602490067211732156035758926889094610648e-6029)), SC_(1) }, 
      { SC_(1030167), SC_(1030167), SC_(2063277), SC_(744478), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.4511153571077027519604414144322801206679870058587253174456021218360208321437627577138707488632852896e-92404))), SC_(1), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.7754310234985811873988039144864472895479722845395841523576919087158739737428332572815461903769407882e-92405))) }, 
      { SC_(1030167), SC_(1030167), SC_(2427690), SC_(572726), SC_(BOOST_MATH_SMALL_CONSTANT(0.1391919893786702038962612009846824397331628724453809213678113652788484674273410824482758277274826774e-27643)), SC_(1), SC_(BOOST_MATH_SMALL_CONSTANT(0.8848627313045931655152816475946061877553473103461211294820092561884413448622321591917114894334786741e-27644)) }, 
      { SC_(2063277), SC_(3), SC_(2427690), SC_(1), SC_(0.05744948917837785396631837850087687638865986911538300396398836885344514018919283261725123608911631573), SC_(0.06083168584917255775414716520408138122920687784053330869080901476158912618517300547284053088480152357), SC_(0.9391683141508274422458528347959186187707931221594666913091909852384108738148269945271594691151984764) }, 
      { SC_(2063277), SC_(4), SC_(2427690), SC_(2), SC_(0.09765192319603535795200082936537967044984677193469420307214403317599152054043820712170776297045732308), SC_(0.1096576474471902367301475798867712164541302638078804102268810313495852909563466728647636960006874216), SC_(0.8903423525528097632698524201132287835458697361921195897731189686504147090436533271352363039993125784) }, 
      { SC_(2063277), SC_(15), SC_(2427690), SC_(2), SC_(0.1489538545802902607664120997954020858865667522818151389900602349430345082934769865095821871577947918e-8), SC_(0.1527562590656629047323044385006577628342277802825044663380264946841620738937005774513717697678843875e-8), SC_(0.9999999984724374093433709526769556149934223716577221971749553366197350531583792610629942254862823023) }, 
      { SC_(2063277), SC_(29), SC_(2427690), SC_(24), SC_(0.1825580820948670496065127391210869986226421373788908976816528717196305923822458800333980579115728127), SC_(0.445163736077329563124004070889775468206373091875399633746378366762360683651027004054511129031081457), SC_(0.554836263922670436875995929110224531793626908124600366253621633237639316348972995945488870968918543) }, 
      { SC_(2063277), SC_(36), SC_(2427690), SC_(22), SC_(0.0003125643546548426465134199665900176038001607706081738565500117820653374268332937528261593867942722811), SC_(0.0004170661129387665482411517580309840599293201092352328271804108145419950379407776296795046335742746907), SC_(0.9995829338870612334517588482419690159400706798907647671728195891854580049620592223703204953664257253) }, 
      { SC_(2063277), SC_(126), SC_(2427690), SC_(124), SC_(0.3090497262600759339310995264132131683837693477210209596697565157782818504892226262835886329947677904e-6), SC_(0.9999999707466493421791804803401295750261251967731062983856754109793651076882563380203078160781201427), SC_(0.292533506578208195196598704249738748032268937016143245890206348923117436619796921839218798573098886e-7) }, 
      { SC_(2063277), SC_(244), SC_(2427690), SC_(125), SC_(0.1926311146754487317839352173396317360254859601590752007913400851592802919026180964385042186799388985e-34), SC_(0.2358551776787649570027910244313940189611854169940576794125495099425455366841057480399695284027407998e-34), SC_(0.9999999999999999999999999999999999764144822321235042997208975568605981038814583005942320587450490057) }, 
      { SC_(2063277), SC_(312), SC_(2427690), SC_(101), SC_(0.1166767818366514624165565698899735105639350733982911242849414658751117357600131962830133143705241353e-96), SC_(0.1273746118350149699556320311421523675800002438203319168937701298695872308610721640141197137021741127e-96), SC_(0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998726) }, 
      { SC_(2063277), SC_(835), SC_(2427690), SC_(537), SC_(0.23461228902101219097178707917291860335053529413516261545028998077215105088793120601212977276059809e-48), SC_(0.3431363619828340409481381658562477455080489826352272059292470590381196707245019036327290686732838148e-48), SC_(0.9999999999999999999999999999999999999999999999996568636380171659590518618341437522544919510173647728) }, 
      { SC_(2063277), SC_(1339), SC_(2427690), SC_(567), SC_(0.3041470601326637639494336714081772092631985361508198839012668100830373463893945362825999488268208953e-281), SC_(0.3492944674692955483087920207427729775582252986994579321749324087059134559172244801668433526825047348e-281), SC_(1) }, 
      { SC_(2063277), SC_(2247), SC_(2427690), SC_(146), SC_(0.1961583257344876361407986442912971748133704876860571439720756997039603833526484722848050981525197114e-1509), SC_(0.1985803181231377171100024006050801391647985792237330316683697442131384730223214433005701459145186371e-1509), SC_(1) }, 
      { SC_(2063277), SC_(6337), SC_(2427690), SC_(2672), SC_(0.1946697310930234468246720701513688516379049429450611162377788936941304610494217178093823793465460629e-1340), SC_(0.2231398150887527500500636624540547473831434192427597288446010950080238974412696796973001269796604522e-1340), SC_(1) }, 
      { SC_(2063277), SC_(10473), SC_(2427690), SC_(9239), SC_(0.1551193531816254902127180217675278330953801636526937883589391307214311968656400971435645306065954152e-21), SC_(0.9999999999999999999995265520566596472139336012063899453012696720276036981041380189756120978583403695), SC_(0.4734479433403527860663987936100546987303279723963018958619810243879021416596305465302368046704094033e-21) }, 
      { SC_(2063277), SC_(19470), SC_(2427690), SC_(4675), SC_(BOOST_MATH_SMALL_CONSTANT(0.623040705399711425127124917791866020596913429898404691576374003232002649354732173377846476674429555e-7957)), SC_(BOOST_MATH_SMALL_CONSTANT(0.6583688419938623576817522468445990251506727431116697161171189880925188638737939276886488942322787167e-7957)), SC_(1) }, 
      { SC_(2063277), SC_(50688), SC_(2427690), SC_(5656), SC_(BOOST_MATH_SMALL_CONSTANT(0.1529278237073002921981596930779124386741258366470694934804851463595902054455594437519411007451134623e-30822)), SC_(BOOST_MATH_SMALL_CONSTANT(0.1559684068913597863769291907119127621669934794968537447893450088285543334777687079420401191985208386e-30822)), SC_(1) }, 
      { SC_(2063277), SC_(130605), SC_(2427690), SC_(12086), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.1838031979064376860156110323884379948298364325044049860781553255686817375515358349062016312896522764e-88900))), SC_(BOOST_MATH_SMALL_CONSTANT(BOOST_MATH_SMALL_CONSTANT(0.1860779122972254559882711932578481205298684299140770720149987268252855087660161273279636415996449002e-88900))), SC_(1) }, 
      { SC_(2063277), SC_(256574), SC_(2427690), SC_(208651), SC_(0.1043358350305396213816825473194597727628397567524572489210649347280772703074417268374663807425040052e-624), SC_(0.4058279349421142862579906719998452318972757308871573552913945099588747110076803516651018133973772923e-624), SC_(1) }, 
      { SC_(2063277), SC_(523360), SC_(2427690), SC_(184261), SC_(BOOST_MATH_SMALL_CONSTANT(0.3757927138352356631892501916344494185815670042854429196331040880186979716874474145827399077949946912e-240005)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3785639581119621756070451029910607902592003937852821432380999689590450613028232909193510596494914717e-240005)), SC_(1) }, 
      { SC_(2063277), SC_(1030167), SC_(2427690), SC_(803033), SC_(BOOST_MATH_SMALL_CONSTANT(0.2014503510496423731073796011823145616941176229174944683082735797595277609595578046438978094454227689e-14930)), SC_(BOOST_MATH_SMALL_CONSTANT(0.3276248348930073080804548929222879527457119577454409744322412672836109490789223127331688301365927403e-14930)), SC_(1) }, 
      { SC_(2063277), SC_(2063277), SC_(2427690), SC_(1949025), SC_(BOOST_MATH_SMALL_CONSTANT(0.9948928329918925300825475902876870461866169772968706503745565572554925906532956518816712676968759027e-155653)), SC_(1), SC_(BOOST_MATH_SMALL_CONSTANT(0.2736845628398119894621780530003341353062573210278622168826610191467448846343071724458397259050505966e-155654)) }
   }};
#undef SC_