Recurrence 5 lookup certificate: C1 source coefficients, low 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.recurrence5C1_coeff_0 :
Polynomial.coeff remainder7Coefficient1 0 = -((109 * 10 ^ 70 + 3668627492001675394433994664826131107953950676606119137031697813860165) * 10 ^ 70 + 1937247124165649252180932748749814996500235207123991788709041477672200)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_1 :
Polynomial.coeff remainder7Coefficient1 1 = -((411856 * 10 ^ 70 + 7021989385864801419632846928943507671722009710095464284603056264122337) * 10 ^ 70 + 9288454055510156682151582921648987808145008635129176462917777991438400)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_2 :
Polynomial.coeff remainder7Coefficient1 2 = (762377747 * 10 ^ 70 + 986388098888851548343857347941185800242811413127261816165292069859502) * 10 ^ 70 + 4849854786017886382443560590233267625422078798389380098321000880997000
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_3 :
Polynomial.coeff remainder7Coefficient1 3 = -((145441458811 * 10 ^ 70 + 9653436842313526709245467080046300180736670641822305297657712287545387) * 10 ^ 70 + 7906278101660165064015725950286781492557028336426161709989915657337000)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_4 :
Polynomial.coeff remainder7Coefficient1 4 = -((138556532012103 * 10 ^ 70 + 3975198605840846354154170019905265654454453416446069980427988428040321) * 10 ^ 70 + 2994634670917893690499705192677293385064868561025254480754331642946400)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_5 :
Polynomial.coeff remainder7Coefficient1 5 = (74854218712560599 * 10 ^ 70 + 2010777661859876844618552530580663051834748197324175845432234499467422) * 10 ^ 70 + 7870290702494367420335885311521367421522866099947998770234370402906500
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_6 :
Polynomial.coeff remainder7Coefficient1 6 = -((16873892559123085835 * 10 ^ 70 + 3780442667103577420728735496422611536375282160611561225962296571796198) * 10 ^ 70 + 7623278518573489167519937635217186435062667325941742127638533878811800)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_7 :
Polynomial.coeff remainder7Coefficient1 7 = (2233000481520792879329 * 10 ^ 70 + 8678750096197631603885317806520408919909662702297924463184665157570809) * 10 ^ 70 + 4733086844997534028584545660859474043057248400834914705175965088644800
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_8 :
Polynomial.coeff remainder7Coefficient1 8 = -((195491416419199090236814 * 10 ^ 70 + 1975381369990162424440786843379630551618741995945361414988617795859607) * 10 ^ 70 + 4488767957052314242354548575551537257346061231574012722735196902183200)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_9 :
Polynomial.coeff remainder7Coefficient1 9 = (12086142547850230063625001 * 10 ^ 70 + 1211988398264523881621391908170849688840662341659353401315351592641373) * 10 ^ 70 + 4625183727496705626701851749217433624022490601601808137007524256245500
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_10 :
Polynomial.coeff remainder7Coefficient1 10 = -((550726776995296454140907365 * 10 ^ 70 + 7050465634712291635899289244891463601723618735601375317796476071024389) * 10 ^ 70 + 9859759412395042427528971257462654326960305554783701287120527712876800)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_11 :
Polynomial.coeff remainder7Coefficient1 11 = (19075241550952230057872469803 * 10 ^ 70 + 2288977332844599420283750836629176468381387502285944935758543098903132) * 10 ^ 70 + 371993113898250930563464310186308444923139822597509466690087111036300
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_12 :
Polynomial.coeff remainder7Coefficient1 12 = -((514268970614403235959990426406 * 10 ^ 70 + 7323887834737051383148075909355844349926192501518934693328549639530298) * 10 ^ 70 + 823548183549009178708043512200602783929324580639575781122385356195000)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_13 :
Polynomial.coeff remainder7Coefficient1 13 = (11000523111860103180746238150738 * 10 ^ 70 + 3696681390448056779453964512194873168528116092726079174664773349485418) * 10 ^ 70 + 6357971241224339704517139470069582640615476937265097020213492210798000
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_14 :
Polynomial.coeff remainder7Coefficient1 14 = -((189728231166416778635321846297752 * 10 ^ 70 + 706907072664392277813797016010448929407335928575094165799349661567888) * 10 ^ 70 + 5426284325723128568687449845461534211377270133341851925094998105730900)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_15 :
Polynomial.coeff remainder7Coefficient1 15 = (2675663671167821118618234682312190 * 10 ^ 70 + 5716206634001397747390357189592803442700905226578587559303952242469318) * 10 ^ 70 + 7695984220871596194341123932671721116591542808006385733670974618543500
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_16 :
Polynomial.coeff remainder7Coefficient1 16 = -((31243286546665870522320811607122574 * 10 ^ 70 + 9611258879421509611402994670659931505163156950364114549515672649681148) * 10 ^ 70 + 2424074298538289729756628289410669827243618294471311858233088999704800)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_17 :
Polynomial.coeff remainder7Coefficient1 17 = (305549767680281780756309122945637955 * 10 ^ 70 + 5357452504705733692558444588541196115062898416921598966344309812118012) * 10 ^ 70 + 115057683414812713754326479968601591790337072675375978676539249087000
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_18 :
Polynomial.coeff remainder7Coefficient1 18 = -((2529401652115669509625093293591017235 * 10 ^ 70 + 5423129450176131908446516446595559521580619912777861611315355702622050) * 10 ^ 70 + 1004474801947547738358897149312764577332791168497214556606267949529100)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_19 :
Polynomial.coeff remainder7Coefficient1 19 = (17900885256329515831943276119469514881 * 10 ^ 70 + 6147824933149978805769311994445102962915193965415628234093855154418970) * 10 ^ 70 + 7397091104212339815604283847425888916657500258104675102344332478942100
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_20 :
Polynomial.coeff remainder7Coefficient1 20 = -((109319368313228189000348413043914382243 * 10 ^ 70 + 2147176144478554290800314799357644864115881120174815940188430080891694) * 10 ^ 70 + 598393309335859841037493536606966358130876167861309312653803565256100)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_21 :
Polynomial.coeff remainder7Coefficient1 21 = (581139763781811068884305058217217238497 * 10 ^ 70 + 1220815011541927728282067538764800621902110883784856237156030418817061) * 10 ^ 70 + 9962489964992668137095065881450336991007712687881280573536806451516200
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_22 :
Polynomial.coeff remainder7Coefficient1 22 = -((2711254037058867852017477288639112678524 * 10 ^ 70 + 5731648020254624555351110656320264175357198722775124201640213746930232) * 10 ^ 70 + 9172833190757847390226110147632751785277368441387737629524351861471000)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_23 :
Polynomial.coeff remainder7Coefficient1 23 = (11185345497206780918869428255734827040187 * 10 ^ 70 + 4829438842257650972777891062728087926871119396368124799244085326882372) * 10 ^ 70 + 1773081680826917042495242564601194642732927045414322589867897306458600
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_24 :
Polynomial.coeff remainder7Coefficient1 24 = -((41088179284411376532531302301499658544816 * 10 ^ 70 + 6402289064218705864810468816561129478727208928187717827783831170478107) * 10 ^ 70 + 4541829444540613798747392628704474610461746015625476367947242758144500)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_25 :
Polynomial.coeff remainder7Coefficient1 25 = (135224661201581008763275693405257481811396 * 10 ^ 70 + 7683259599166313913050928142595870439907424088703572026130395847937274) * 10 ^ 70 + 8215236092740806433428470385074552256198216462382234533446795775708000
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_26 :
Polynomial.coeff remainder7Coefficient1 26 = -((400867228948276184196256815204853300816016 * 10 ^ 70 + 4790611190249660624477692600404124310094096741149895815233583269322956) * 10 ^ 70 + 4134202562875944250616373660372633588040454495530073580838721039851000)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_27 :
Polynomial.coeff remainder7Coefficient1 27 = (1075244597673637159774524643333283720499724 * 10 ^ 70 + 8273529793308914531750459159023946280834586659031428080945125618675219) * 10 ^ 70 + 7275243076552722501453316048776723012451562576694993682906554016753300
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_28 :
Polynomial.coeff remainder7Coefficient1 28 = -((2619023658909728040831322062001345142124021 * 10 ^ 70 + 3760017857263700399561477785393029016922442965310629674690690462579010) * 10 ^ 70 + 6530330327510673705839303345831916838299975311925277927045719561092000)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_29 :
Polynomial.coeff remainder7Coefficient1 29 = (5808603629938132456446368659778570937425706 * 10 ^ 70 + 7322729870857736697026583339026245691309251555437977819345440566807881) * 10 ^ 70 + 1582909019934256638638094361896232831268171360128451855114395949041300
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_30 :
Polynomial.coeff remainder7Coefficient1 30 = -((11752120546333417165533985502192354551418600 * 10 ^ 70 + 648355850985507647987940633746982725872756852720584061986758894124297) * 10 ^ 70 + 6159005394581724190355852558129534742995239341899979741164660390250600)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_31 :
Polynomial.coeff remainder7Coefficient1 31 = (21715303464190810628156696376500916370290754 * 10 ^ 70 + 9916045847009809308900129729598371963146444474022564713411546538602269) * 10 ^ 70 + 4635066095340405896498744484334068109910346648378154548570196936506100
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_32 :
Polynomial.coeff remainder7Coefficient1 32 = -((36664706653791903445343340862064220219743520 * 10 ^ 70 + 1458574778973224928701729054938451752204452819325062579851609362777510) * 10 ^ 70 + 5018903631976367661523204828619863980435414288626526202138101909670800)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_33 :
Polynomial.coeff remainder7Coefficient1 33 = (56569040083718506639818572513182768047804167 * 10 ^ 70 + 6873594500998550652758456514075564116013706518013713069838130625163635) * 10 ^ 70 + 7294331932664725615335103467515950826228687781567274751459720839963500
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_34 :
Polynomial.coeff remainder7Coefficient1 34 = -((79727244954223011897759154219421855255114195 * 10 ^ 70 + 7039105408847362302319554436950133571838529172740396814719319755054614) * 10 ^ 70 + 4286180536156009364047299802309015618850843754211098148060330427324700)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_35 :
Polynomial.coeff remainder7Coefficient1 35 = (102575876680591497354449314111224497782555304 * 10 ^ 70 + 4848625081909351305712240783309857027986267597154589062945994781688921) * 10 ^ 70 + 9178078600542726679521870176677873799562165691410867733399921660771400
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_36 :
Polynomial.coeff remainder7Coefficient1 36 = -((120360381549769321769604300296928797227994994 * 10 ^ 70 + 2428582472779063898719934935455380779691003872638368201476393599996) * 10 ^ 70 + 2240773546156566731708324753394860439836293602936183465072007089423500)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_37 :
Polynomial.coeff remainder7Coefficient1 37 = (128640267626845844871783284236179748061772226 * 10 ^ 70 + 3380756762264449169137906116301333265791895369830921499187217096576088) * 10 ^ 70 + 4746108405969082400083279410047531732811049771807439483777313506138700
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_38 :
Polynomial.coeff remainder7Coefficient1 38 = -((125028287630023308300164665233770601262709975 * 10 ^ 70 + 5900780667029654942867594270034243815587757320984973257176731976667065) * 10 ^ 70 + 3496697988865414494497167361016857095141427732166846452543317722129300)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_39 :
Polynomial.coeff remainder7Coefficient1 39 = (110257889718880697403840974611779357168791240 * 10 ^ 70 + 8839938203799162046723580757217656953389989111517706422388198509931394) * 10 ^ 70 + 2257400958683697401754387255810052506425013962986728966543407405533000
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_40 :
Polynomial.coeff remainder7Coefficient1 40 = -((87946235831429590751564519270494540286551781 * 10 ^ 70 + 6194609437231668973206815811259602712154988478178496382088988641807529) * 10 ^ 70 + 9022435137382301380153326311891775727096326737300978247307157055541900)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_41 :
Polynomial.coeff remainder7Coefficient1 41 = (63154269720438939736664879369597904815712612 * 10 ^ 70 + 1818422083400786493448658639074019055418717405647721385417615725674009) * 10 ^ 70 + 2240106883233865317906191976798698025751962964160181691143428140133700
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C1_coeff_42 :
Polynomial.coeff remainder7Coefficient1 42 = -((40527667127888957120699419021654306711665225 * 10 ^ 70 + 1880795752079586373075903647186739456560609948025876867404637025846901) * 10 ^ 70 + 6619467480560273862619894634353371054772012594370590329904770781927500)