Documentation

MazurTorsion.Kubert.OrderSevenBacktrackingResultantRecurrence5LookupC0High

Recurrence 5 lookup certificate: C0 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.recurrence5C0_coeff_45 :
Polynomial.coeff remainder7Coefficient0 45 = (299216319995934435925003618516585357981123498 * 10 ^ 70 + 6811672939790032310212632978540189535299913307672002487816957679682893) * 10 ^ 70 + 9878201698464192341875767949401194618130465210053324628640518141093800
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_46 :
Polynomial.coeff remainder7Coefficient0 46 = -((167379318465759567086372557667630211074737758 * 10 ^ 70 + 9791387508073864454885617547688676950570390907836431765487923413844118) * 10 ^ 70 + 3389905771624271938278336779563419635003316002588002913488700184283900)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_47 :
Polynomial.coeff remainder7Coefficient0 47 = (82802897070280529040724718141089545704414818 * 10 ^ 70 + 3809203324104021674793638081713660214335002434211289552413447610559929) * 10 ^ 70 + 8183085602950358180417107149840757069477896220270044834125720347797400
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_48 :
Polynomial.coeff remainder7Coefficient0 48 = -((35163661406667961304884785817600637448968244 * 10 ^ 70 + 3029646140386876211995307106107439360689710769610891532550937215574707) * 10 ^ 70 + 5223045307657141565419802456910558942597285810494727802038956693652000)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_49 :
Polynomial.coeff remainder7Coefficient0 49 = (11949456545612271069056122320190369183214660 * 10 ^ 70 + 5774121331368364335364425470311118175298287772908210796905840113890203) * 10 ^ 70 + 7503100621629798582240077951829039349523244146848372669547921036158700
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_50 :
Polynomial.coeff remainder7Coefficient0 50 = -((2518019641233534069676373089106191142771972 * 10 ^ 70 + 5185605499524598615340389147870375366700046766973856438324866314832129) * 10 ^ 70 + 7773175700025108301088942084883132883257935729068847062301381855863200)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_51 :
Polynomial.coeff remainder7Coefficient0 51 = -((360602202850647375465124148581123422110034 * 10 ^ 70 + 7658729991087813810881153001301155310543181501427908874819710642750816) * 10 ^ 70 + 4131997940737449516230759015144734716650300925065684251387828117430300)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_52 :
Polynomial.coeff remainder7Coefficient0 52 = (737328762161682688248893420782040622202699 * 10 ^ 70 + 8952803049625106028093041346070803558265137438312109298872685665563323) * 10 ^ 70 + 536392397143934091052502421345008144522560414696110411588742260299900
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_53 :
Polynomial.coeff remainder7Coefficient0 53 = -((465690278722343877685358238697594902042660 * 10 ^ 70 + 687388323304117057368660917922017512977349393695776914553954538386818) * 10 ^ 70 + 7533762444618505758977156616470496361067539513805532575786933331390100)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_54 :
Polynomial.coeff remainder7Coefficient0 54 = (193000455234211694250461692806540316175518 * 10 ^ 70 + 316292999357417611085114281580836605060397300173625273498543953169893) * 10 ^ 70 + 8784009166065585985966196512808799196555527288060521552779333901494600
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_55 :
Polynomial.coeff remainder7Coefficient0 55 = -((45489183151752191752346519041430743890101 * 10 ^ 70 + 4665452674663995569587177951157421747938056251083786321905923358680861) * 10 ^ 70 + 6000742871586416599132600025051508967138008592727572273096690832966800)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_56 :
Polynomial.coeff remainder7Coefficient0 56 = -((9865098188415408972871554774085380880276 * 10 ^ 70 + 8276043976610924202926831721313967582854161606977827437293056992914891) * 10 ^ 70 + 3035623483666843925741078214215520099719841731248237032635247103615500)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_57 :
Polynomial.coeff remainder7Coefficient0 57 = (21705449740189662314493746367775104903176 * 10 ^ 70 + 8091344493531861601029971129317284863695248798307946075557965431955464) * 10 ^ 70 + 7966172143674587237955068705703194974351248373583301078997341433088700
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_58 :
Polynomial.coeff remainder7Coefficient0 58 = -((18981771659769225282048495550338448083101 * 10 ^ 70 + 31478298025092123378788167733264085852264910018885643361539607749953) * 10 ^ 70 + 6885051653368836353653261459111917985490586162202531644711314449048700)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_59 :
Polynomial.coeff remainder7Coefficient0 59 = (13557315518886969851270252430668246594332 * 10 ^ 70 + 691132285605044158591918978742420395247798754059383330379135232229750) * 10 ^ 70 + 9872705462834546600280432829151993778410840913100086840594584961513100
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_60 :
Polynomial.coeff remainder7Coefficient0 60 = -((8861136362341469306255974361565195378834 * 10 ^ 70 + 5166797563124041182394873038304655127427325171054004532351589540124988) * 10 ^ 70 + 3658906841358641226791923091515607132821488720121066076356492321311300)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_61 :
Polynomial.coeff remainder7Coefficient0 61 = (5414826848425349309103566999050054244074 * 10 ^ 70 + 893264801282049249915546199124019915021918803325513118936732263257917) * 10 ^ 70 + 8444164141019239142289446645486501535676377961187877489986173093799300
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_62 :
Polynomial.coeff remainder7Coefficient0 62 = -((3065114515082650692917572527895564183513 * 10 ^ 70 + 3898519529744000396575549796981404911235998064803338550317268444406709) * 10 ^ 70 + 6875948042646842002857847267994759337780757031205678762830072117161700)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_63 :
Polynomial.coeff remainder7Coefficient0 63 = (1576929229338252800596971686011781513955 * 10 ^ 70 + 4023750470013581286536434065673507944217417163867312763986873260936092) * 10 ^ 70 + 8419566945678540244598807703189030324825483586038641692241517845798800
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_64 :
Polynomial.coeff remainder7Coefficient0 64 = -((719686177566377803399882653297752870310 * 10 ^ 70 + 3149356717942084099915577717538477345159368241147758174047884482347060) * 10 ^ 70 + 5310595348812716456205182724803412582123820056782100236165425040280600)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_65 :
Polynomial.coeff remainder7Coefficient0 65 = (280889371719455291818599939720386480989 * 10 ^ 70 + 7938802563144923576720185462936925364686691076003275748490428344133702) * 10 ^ 70 + 218562566299795328130960874811190270006568356919391082185295837714500
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_66 :
Polynomial.coeff remainder7Coefficient0 66 = -((86838390668895088481903497456792890604 * 10 ^ 70 + 345960081250455125125307694777648996750016089634837675310878661116614) * 10 ^ 70 + 5708923395088774563128637896451309893515716096343673989658030337195600)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_67 :
Polynomial.coeff remainder7Coefficient0 67 = (16306246705588576411208798896532487486 * 10 ^ 70 + 3215691994213056015068009760750960081868098311170762509791881719047457) * 10 ^ 70 + 9701816572886996672346057482757892151280053517864041091028149138100400
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_68 :
Polynomial.coeff remainder7Coefficient0 68 = (2168295487138244923417913298235211224 * 10 ^ 70 + 4044092626158367473480577941528595086487542709398752582305578492794740) * 10 ^ 70 + 2839871603316831583856938903402831845161092256395924445130145772892200
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_69 :
Polynomial.coeff remainder7Coefficient0 69 = -((3664179009963021418686699948231695811 * 10 ^ 70 + 2643767207022873742928113129351322626654604772315437073821454115015497) * 10 ^ 70 + 296215473098415897015666692586534788656524215597962336287145161673500)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_70 :
Polynomial.coeff remainder7Coefficient0 70 = (1911172683317283413602587072080793761 * 10 ^ 70 + 6162202573476189713858834876361711044224397788519754491163998141402545) * 10 ^ 70 + 3774936573057029560740013032248101128939096132230990309411609408084100
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_71 :
Polynomial.coeff remainder7Coefficient0 71 = -((649089845708781725918220795025204273 * 10 ^ 70 + 1669239846801338793408944864034557762687741933683806854116955963988903) * 10 ^ 70 + 720197901743685674578528603668955701090875626384862093485669898433600)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_72 :
Polynomial.coeff remainder7Coefficient0 72 = (147776373074621610818035990130057117 * 10 ^ 70 + 8772869893925500433278319730371973726953441445759260568804020231834001) * 10 ^ 70 + 3848588808276495134138237128688530195301903840787541927825589803622800
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_73 :
Polynomial.coeff remainder7Coefficient0 73 = -((17552901927930098500221291737503152 * 10 ^ 70 + 4733997638205847404768086305268314025994338663622094437587088144789859) * 10 ^ 70 + 9138705578495017132035592111077609980923415294245132791933244355735500)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_74 :
Polynomial.coeff remainder7Coefficient0 74 = -((1408938487289987084416991636620179 * 10 ^ 70 + 6959035552335976021258639709518396010900926670407682392686205967931394) * 10 ^ 70 + 6827515643993902802929748424321294310005470107484272642551102672107200)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_75 :
Polynomial.coeff remainder7Coefficient0 75 = (1003027400475099197649105315510029 * 10 ^ 70 + 1308941196709880316035146088816529003184748836210081599636958214880567) * 10 ^ 70 + 3740288705294235555554605534352319607294460953502528525384404117634900
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_76 :
Polynomial.coeff remainder7Coefficient0 76 = -((152922664346163787977457807376287 * 10 ^ 70 + 2764033281982808879130836776910707568431484106465010144965508063628116) * 10 ^ 70 + 4532833407205725388643524831797314215515044086309275752231560892829200)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_77 :
Polynomial.coeff remainder7Coefficient0 77 = -((1141237593406432259428694812810 * 10 ^ 70 + 1597452924110703353320181611787637242983179087769304666966861021355699) * 10 ^ 70 + 3143816179006249520189917827438767605709711756890755731720160100676400)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_78 :
Polynomial.coeff remainder7Coefficient0 78 = (1890694466184193372708948421663 * 10 ^ 70 + 3265177583364361244612532968098083686711347708081215324031066965070246) * 10 ^ 70 + 2845888629507477920107925229095817833066353337517732865587425407397800
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_79 :
Polynomial.coeff remainder7Coefficient0 79 = (458050984484617742450235318171 * 10 ^ 70 + 8535292860428834385931611938795127562511230566491951753476043921843758) * 10 ^ 70 + 8695732965434993037833657206859726533590965158153208027541947473153300
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_80 :
Polynomial.coeff remainder7Coefficient0 80 = -((157845728812479329550429125969 * 10 ^ 70 + 8322968285837173055598475502131480448389326403457823323563646460376776) * 10 ^ 70 + 3643835090316473249586776019411593483125913346876053394913682520225200)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_81 :
Polynomial.coeff remainder7Coefficient0 81 = (7073511337725100179962869969 * 10 ^ 70 + 3247056352002797664943806053225564930831703890971590246550540660912522) * 10 ^ 70 + 7235917539423429345614127146107231506906906152573563682200594042309100
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_82 :
Polynomial.coeff remainder7Coefficient0 82 = (1144729829415442013739630619 * 10 ^ 70 + 7399484369445518132158204012530554070653916363199420341340580951693627) * 10 ^ 70 + 4961984703876526085102136603319404267792454600482438065997691975687900
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_83 :
Polynomial.coeff remainder7Coefficient0 83 = -((20030881010336799704514853 * 10 ^ 70 + 7908662109328630650854611578575069671025878821522459985317012253171057) * 10 ^ 70 + 3076743694872341668373877531003795741639344995679810078928047085959700)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_84 :
Polynomial.coeff remainder7Coefficient0 84 = -((46124915926125853507119 * 10 ^ 70 + 3087570402812029906407284303664036779779700940772685386039116076008438) * 10 ^ 70 + 2714151177703274012456096570984688992356232848917866324540513853405400)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_85 :
Polynomial.coeff remainder7Coefficient0 85 = (238193801912679644342 * 10 ^ 70 + 9153428417952291744740482273313182492430055369360657216089240525618643) * 10 ^ 70 + 9973650838350753771863311732418152847918447104971966339951464493570900
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_86 :
Polynomial.coeff remainder7Coefficient0 86 = -((171559361212805156 * 10 ^ 70 + 7704550613142743225714329810818397985723916716118494364937279152596181) * 10 ^ 70 + 5221777699471252854218841329784006696570200672767771521984204686578000)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_87 :
Polynomial.coeff remainder7Coefficient0 87 = (5209116126870 * 10 ^ 70 + 4885071110470606579691760175672717076399907211131260617880672954003718) * 10 ^ 70 + 5420790376879655959915435709609219266167472673780784225470842870679000
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_88 :
Polynomial.coeff remainder7Coefficient0 88 = -((927037 * 10 ^ 70 + 4104281385090204337589455937976768067173631172597890319603141623827532) * 10 ^ 70 + 2427124817368784950967216852004366970391858104331311383428698675793700)