Documentation

MazurTorsion.Kubert.OrderSevenBacktrackingResultantRecurrence5LookupA1High

Recurrence 5 lookup certificate: A1 source coefficients, high half #

This is a checked coefficient-lookup shard for the fifth pseudo-division recurrence in the order-seven certificate.

theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_87 :
Polynomial.coeff remainder5Coefficient1 87 = 42839007845953718425051554233140004 * 10 ^ 70 + 4000891652161884007413133708700914307171062905947268861350381323239623
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_88 :
Polynomial.coeff remainder5Coefficient1 88 = -(26347348719335356743096958232304006 * 10 ^ 70 + 9869795524663525862371823519130890024837033548112820730623474991281817)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_89 :
Polynomial.coeff remainder5Coefficient1 89 = 13227925474849931328017757221163467 * 10 ^ 70 + 7190070254520754692880872740709696400577048690749505892168630079768137
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_90 :
Polynomial.coeff remainder5Coefficient1 90 = -(3823748322791275440787283252596325 * 10 ^ 70 + 7979961760357323486608416389551190343610287422461817167226895314288050)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_91 :
Polynomial.coeff remainder5Coefficient1 91 = -(2092651215307467090772540150205516 * 10 ^ 70 + 8892593156431188083619327785300680224684410708916461220070762936449495)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_92 :
Polynomial.coeff remainder5Coefficient1 92 = 5135895308140557995993057129313593 * 10 ^ 70 + 1507885789132704296859638651751727764057958376934182959301738207606292
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_93 :
Polynomial.coeff remainder5Coefficient1 93 = -(6096264634356419999647266276946530 * 10 ^ 70 + 6229215988842645300595735255867518084478704812447465122128823954726072)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_94 :
Polynomial.coeff remainder5Coefficient1 94 = 5755607067977522609506785525060425 * 10 ^ 70 + 2121506588875691747206523055248598001725590616376615038355876443731821
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_95 :
Polynomial.coeff remainder5Coefficient1 95 = -(4763839522346748729584724997726222 * 10 ^ 70 + 199866860377249128900360922029005365527357536009728237730994344313097)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_96 :
Polynomial.coeff remainder5Coefficient1 96 = 3583773497537844040893065686315608 * 10 ^ 70 + 5579588631567809015649436123228056726199833970661846461852670010375388
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_97 :
Polynomial.coeff remainder5Coefficient1 97 = -(2492323182975411566005296195368831 * 10 ^ 70 + 1420018716281245364538196866961519802276404100023958965606439339223176)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_98 :
Polynomial.coeff remainder5Coefficient1 98 = 1616470289857352286345873429262351 * 10 ^ 70 + 9579240606309515110024491589865290828602661540989619202886138797935750
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_99 :
Polynomial.coeff remainder5Coefficient1 99 = -(982137816105600940577965581201774 * 10 ^ 70 + 5461875218876559758948240211283272433453443152895014547564702118817621)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_100 :
Polynomial.coeff remainder5Coefficient1 100 = 559911461864409683996212115592349 * 10 ^ 70 + 6933220615768728573297656255082509305515444525714923599754373086420728
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_101 :
Polynomial.coeff remainder5Coefficient1 101 = -(299248139198978770193567265404244 * 10 ^ 70 + 3081503527308789979863092008930769219288691177282747295711060058763041)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_102 :
Polynomial.coeff remainder5Coefficient1 102 = 149368682576888996996090723466455 * 10 ^ 70 + 9913076209647682289119340331428889256969357740379501061398412854150419
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_103 :
Polynomial.coeff remainder5Coefficient1 103 = -(69053028406976709362983128195956 * 10 ^ 70 + 9625253075786037046722724948486593598297961709987341217107597165473120)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_104 :
Polynomial.coeff remainder5Coefficient1 104 = 29064985992321243181066303456755 * 10 ^ 70 + 3328209709502324780490103615199190206772255660935836379976624453765427
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_105 :
Polynomial.coeff remainder5Coefficient1 105 = -(10720482581971926612840807569943 * 10 ^ 70 + 616176840152778606366033588873468334445065440880249438075178100829597)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_106 :
Polynomial.coeff remainder5Coefficient1 106 = 3108384093738435260595649241869 * 10 ^ 70 + 5077943994043250896964493536951672666158510958897530500818647634446188
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_107 :
Polynomial.coeff remainder5Coefficient1 107 = -(372893031342273612518010815822 * 10 ^ 70 + 5334407526052332657147930456916933080914732176821530147827505098205331)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_108 :
Polynomial.coeff remainder5Coefficient1 108 = -(372481948314550209092489907465 * 10 ^ 70 + 2058606192905109909625777717955985958668657814228882955069959899669759)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_109 :
Polynomial.coeff remainder5Coefficient1 109 = 424034552492407705907495462384 * 10 ^ 70 + 8449840890526830234049260027188414350340163246907653914240479487062204
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_110 :
Polynomial.coeff remainder5Coefficient1 110 = -(300628886481166292197737980717 * 10 ^ 70 + 1151672790811578063992275833255836566334766347612942049549288340423104)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_111 :
Polynomial.coeff remainder5Coefficient1 111 = 176887319085179249032655390930 * 10 ^ 70 + 4857728604099297447982982458672091971526907220536566921307797967872452
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_112 :
Polynomial.coeff remainder5Coefficient1 112 = -(92682059645979436696142953133 * 10 ^ 70 + 5018273547232135877015342253760284185588034464598054779045100382091035)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_113 :
Polynomial.coeff remainder5Coefficient1 113 = 44361348695037996783886329090 * 10 ^ 70 + 2878849587599526799643497423600022286193853325937221511086246490908225
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_114 :
Polynomial.coeff remainder5Coefficient1 114 = -(19564852870708177009107801236 * 10 ^ 70 + 8484741819857120111796040381550527504295834048030077934862095625330347)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_115 :
Polynomial.coeff remainder5Coefficient1 115 = 7943531233637823869061583606 * 10 ^ 70 + 3044784763851632000944032892636905445624752885351929616236763685876759
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_116 :
Polynomial.coeff remainder5Coefficient1 116 = -(2940866841856704166266224455 * 10 ^ 70 + 6929597112196412182312141540922827829629335165595163427799598090404702)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_117 :
Polynomial.coeff remainder5Coefficient1 117 = 970873444813667815780152148 * 10 ^ 70 + 2827212312820593873810838829419242938494066502735250124213456086392838
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_118 :
Polynomial.coeff remainder5Coefficient1 118 = -(271388137560775949620265149 * 10 ^ 70 + 15156899234081557564590240210104656211478606552421631888451560768802)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_119 :
Polynomial.coeff remainder5Coefficient1 119 = 54675883029817776384557955 * 10 ^ 70 + 6296589481409596988099099684772901724688806829636564863558226957973504
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_120 :
Polynomial.coeff remainder5Coefficient1 120 = -(821357840003261720866526 * 10 ^ 70 + 3753831835815979129825456126977310019446997306194193259632685952841573)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_121 :
Polynomial.coeff remainder5Coefficient1 121 = -(6654058423898957783751707 * 10 ^ 70 + 3810895534386276741438208000255510205000868417604672093008592107405963)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_122 :
Polynomial.coeff remainder5Coefficient1 122 = 4565380707861872267949858 * 10 ^ 70 + 9196995840994583967359069059180531522457731903189871498630999587188470
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_123 :
Polynomial.coeff remainder5Coefficient1 123 = -(2211919528947627747551324 * 10 ^ 70 + 3725816622739297367205701956812738517102959793295946238884436997203660)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_124 :
Polynomial.coeff remainder5Coefficient1 124 = 920866695799986620069206 * 10 ^ 70 + 8122133255521843397458969565549416620699218667403610189494287379704353
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_125 :
Polynomial.coeff remainder5Coefficient1 125 = -(356888769656560599503190 * 10 ^ 70 + 2445673700390938049684495047330244354532569450990283148506298340904139)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_126 :
Polynomial.coeff remainder5Coefficient1 126 = 135328515465305404844059 * 10 ^ 70 + 7169538683533538952863890350505341095442444311893217858940083600115356
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_127 :
Polynomial.coeff remainder5Coefficient1 127 = -(51105436436530587327124 * 10 ^ 70 + 4970201429772845504886653883609991515033812962224022733029180620542280)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_128 :
Polynomial.coeff remainder5Coefficient1 128 = 18724522924764368019831 * 10 ^ 70 + 1861291247175064706077620950639205990935729075217609689616901392987641
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_129 :
Polynomial.coeff remainder5Coefficient1 129 = -(6216603415618809070554 * 10 ^ 70 + 9490777440719767998140419079678390027566678235152851737418010751752813)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_130 :
Polynomial.coeff remainder5Coefficient1 130 = 1647619764840444874522 * 10 ^ 70 + 8931028135508640422119462195451291482765769639528814374066385531337289
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_131 :
Polynomial.coeff remainder5Coefficient1 131 = -(223057891902494616899 * 10 ^ 70 + 4844119841455309114286528009536039107603706425377492925866115857178094)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_132 :
Polynomial.coeff remainder5Coefficient1 132 = -(82678103487240988285 * 10 ^ 70 + 425215879500558015990202775431304684914566134154706726255550900741895)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_133 :
Polynomial.coeff remainder5Coefficient1 133 = 79338898000673021292 * 10 ^ 70 + 6007436398625790081814026989282072660549464867251585149272902786851301
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_134 :
Polynomial.coeff remainder5Coefficient1 134 = -(35735303254734803292 * 10 ^ 70 + 5678085571914256210574942272807176777242788823855151899829506921487155)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_135 :
Polynomial.coeff remainder5Coefficient1 135 = 10524624162576581317 * 10 ^ 70 + 8363821263024617882960977132697141843836451375973542887212021311698958
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_136 :
Polynomial.coeff remainder5Coefficient1 136 = -(1706981875558846956 * 10 ^ 70 + 8109700613910549206269329367717555337269819206360089497554834846500269)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_137 :
Polynomial.coeff remainder5Coefficient1 137 = -(141214937184320669 * 10 ^ 70 + 1704752716359652143431188249428619966907401447423958383282514469429899)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_138 :
Polynomial.coeff remainder5Coefficient1 138 = 172008813180505805 * 10 ^ 70 + 6926942797246013510239280722728189394486598332099139845353927822301830
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_139 :
Polynomial.coeff remainder5Coefficient1 139 = -(31456977061084661 * 10 ^ 70 + 3577681356811676193722656661063374646887680269900933350978982922260017)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_140 :
Polynomial.coeff remainder5Coefficient1 140 = -(17836168224905651 * 10 ^ 70 + 256538288433172620311208747558241046427208352880575704020714225865698)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_141 :
Polynomial.coeff remainder5Coefficient1 141 = 17590538337641690 * 10 ^ 70 + 6878421933606487646987908208739914473620068254347964314449417879038479
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_142 :
Polynomial.coeff remainder5Coefficient1 142 = -(8904793049613992 * 10 ^ 70 + 5942229548663423304273769086715329922891628565443715506239308695401982)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_143 :
Polynomial.coeff remainder5Coefficient1 143 = 3426194784195303 * 10 ^ 70 + 132783883263089412079667430183689591252370068022080453442023744099401
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_144 :
Polynomial.coeff remainder5Coefficient1 144 = -(1114605734660233 * 10 ^ 70 + 7932946423651466465950289554745322695521047064667561872726714668697676)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_145 :
Polynomial.coeff remainder5Coefficient1 145 = 320358833283393 * 10 ^ 70 + 2136125227567575460269316171621932024069857163167682690802930185775755
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_146 :
Polynomial.coeff remainder5Coefficient1 146 = -(82086180396764 * 10 ^ 70 + 8993578323488848430623627419661028981808713280898219819864039351411744)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_147 :
Polynomial.coeff remainder5Coefficient1 147 = 18402426013506 * 10 ^ 70 + 9036654175884344631353369053144373052319448979270525673104783998609611
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_148 :
Polynomial.coeff remainder5Coefficient1 148 = -(3455579783778 * 10 ^ 70 + 6644339617277587886239089348584610252259148324937535206582921634787906)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_149 :
Polynomial.coeff remainder5Coefficient1 149 = 499739527343 * 10 ^ 70 + 3289175931372346322438317158013085196164910164030010086405408888087190
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_150 :
Polynomial.coeff remainder5Coefficient1 150 = -(43325449024 * 10 ^ 70 + 1461793963560044500634737587992254263498987197557460266765459139968846)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_151 :
Polynomial.coeff remainder5Coefficient1 151 = -(1737443471 * 10 ^ 70 + 6553617271990044249606160487901360117923157818324213698182219658746789)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_152 :
Polynomial.coeff remainder5Coefficient1 152 = 1437919785 * 10 ^ 70 + 8271253558070668762929755683357335944481885148643634006405012288146369
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_153 :
Polynomial.coeff remainder5Coefficient1 153 = -(278191423 * 10 ^ 70 + 3791984630331748072416157530893765507759472931848760588294940174807181)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_154 :
Polynomial.coeff remainder5Coefficient1 154 = 28468552 * 10 ^ 70 + 476186376648561314130211292983830267522805773582305285357374920960672
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_155 :
Polynomial.coeff remainder5Coefficient1 155 = -(485094 * 10 ^ 70 + 1269474103411838445771996007883105807322425776374788640735334272347304)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5A1_coeff_156 :
Polynomial.coeff remainder5Coefficient1 156 = -(359166 * 10 ^ 70 + 7300519127655402501758383911121049453839011447209853632586129035250260)