Documentation

MazurTorsion.Kubert.OrderSevenBacktrackingResultantRecurrence5LookupScalar0ExceptionalPart1.Coefficients255To289

Recurrence 5 lookup certificate: Scalar0Exceptional coefficient convolution #

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

theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_255 :
Polynomial.coeff recurrence5Scalar0Exceptional 255 = ((((779825 * 10 ^ 70 + 808417969438452345960826725796097779678647998538146070099022800924348) * 10 ^ 70 + 5150604394713651160415178821404264161884808559005276998299929389963921) * 10 ^ 70 + 9136184455185865261421004606704782544404942864738343473461496487590590) * 10 ^ 70 + 7037851312874690429278946902260189916610617238579904328000711108435453) * 10 ^ 70 + 7740692367668375115638480577653681226037877763974499045953445536283990
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_256 :
Polynomial.coeff recurrence5Scalar0Exceptional 256 = -(((((545541 * 10 ^ 70 + 8770036587577033449782008098452834670630620730094179801697557710506552) * 10 ^ 70 + 3092284289832930800865169501503413110769323245511604117076297286188166) * 10 ^ 70 + 8251379928802739093501002369147335642153305551170574071731567134807933) * 10 ^ 70 + 3537244212659380737934552128477253311534286009894219735547392065552508) * 10 ^ 70 + 7637616208717231703113448484961115404135282032336832952136241099797984)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_257 :
Polynomial.coeff recurrence5Scalar0Exceptional 257 = ((((370180 * 10 ^ 70 + 499413355368911741170904319683293715090722679116633581222184819976682) * 10 ^ 70 + 1233078309779657716912500622729403400694145277256621586993209538768555) * 10 ^ 70 + 6670515944922045889831980138628032689282190575261643742748022844410757) * 10 ^ 70 + 4955785558003698800023008272663808711333139502869868777193313849355917) * 10 ^ 70 + 9424320742484097617136527907889958514155697338703399194801264084052535
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_258 :
Polynomial.coeff recurrence5Scalar0Exceptional 258 = -(((((243575 * 10 ^ 70 + 5458862720069739592551727994033082149017312747865321749109450270905122) * 10 ^ 70 + 5869639904909428664337046221322518389988589432251249481245652021735757) * 10 ^ 70 + 9820669943673439082495192747324340929578341385646349656530868268441389) * 10 ^ 70 + 174257351795252265528274954279152467710981368526603555783932458260249) * 10 ^ 70 + 1518686541176236673771001530757856351966690994416695501975063157663160)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_259 :
Polynomial.coeff recurrence5Scalar0Exceptional 259 = ((((155274 * 10 ^ 70 + 2212389478055452281891297839131102484158604081544789431905123901905963) * 10 ^ 70 + 431844193858437600183874620508837959613809556902326500180877951928387) * 10 ^ 70 + 5900376136764897258093233270935932618109359530897352012589708722913551) * 10 ^ 70 + 6365666554895847450532638768051619565019240112334675343460297710402423) * 10 ^ 70 + 8606876811659582668630295960294927545237091920192874634944697720614029
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_260 :
Polynomial.coeff recurrence5Scalar0Exceptional 260 = -(((((95736 * 10 ^ 70 + 6074934386732764247459941837537494114732439145456902320363191321179239) * 10 ^ 70 + 8903667528818962935196964412738902337815503030694148004949485670323441) * 10 ^ 70 + 4234859035137780291616223183524268788315892055011359358791081497738708) * 10 ^ 70 + 4346250080310468032603511408060960523322890680709525872522772666215675) * 10 ^ 70 + 1593851439424983865124957160704724774265116424774599500338807057286582)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_261 :
Polynomial.coeff recurrence5Scalar0Exceptional 261 = ((((56932 * 10 ^ 70 + 6166418383807289310649054340094022582098476587861197725885183009858469) * 10 ^ 70 + 3817675495552508592071489785403095182684927493162497283138484872880088) * 10 ^ 70 + 3493080925209962565810798823292042918767555067941008531066219324788804) * 10 ^ 70 + 9132642971392321423603603047477327841637151687079660705450999130730444) * 10 ^ 70 + 9298863547202335728326513666969748412614682166453243114595101879883616
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_262 :
Polynomial.coeff recurrence5Scalar0Exceptional 262 = -(((((32509 * 10 ^ 70 + 2646498111140800413705784916290232964613554604211906465583041703688222) * 10 ^ 70 + 8566993893250532812372346486354151388355724309787411857094476546995891) * 10 ^ 70 + 3612831121732986063248438088898384954328189570630258476409932177362026) * 10 ^ 70 + 6479069977829362312541264447808858270621998144306990757219650045499356) * 10 ^ 70 + 7347595812902106254481924166776149733934128988829078129649096135782416)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_263 :
Polynomial.coeff recurrence5Scalar0Exceptional 263 = ((((17694 * 10 ^ 70 + 3628826451571084545418029281126725104808817520952376729831766896111840) * 10 ^ 70 + 5995495175137333548705221309088299445422462069879937750419468881497046) * 10 ^ 70 + 7859202053174356352621486111045397819509185973876728697204473708540506) * 10 ^ 70 + 1727379116543537166324203563986891017941361725144705436354651675404918) * 10 ^ 70 + 2718396324213706845237080191908312308628839879509623983780151117134530
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_264 :
Polynomial.coeff recurrence5Scalar0Exceptional 264 = -(((((9064 * 10 ^ 70 + 1719683200544388286840678672566257917742094575468192749831135995269294) * 10 ^ 70 + 1405384222445034106068695586978668570089611582061819606893211201966073) * 10 ^ 70 + 444174280094523925172973199070028052815356922042242894083788032575955) * 10 ^ 70 + 3061001647868465927233001839520657016060489166282494362736239510610680) * 10 ^ 70 + 2547039756211737392754561748155066075015239160652583115114501250040953)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_265 :
Polynomial.coeff recurrence5Scalar0Exceptional 265 = ((((4264 * 10 ^ 70 + 8001453095266641121116584896543055324477816940594159474784842310953181) * 10 ^ 70 + 5393082958380036101974535271187239878183718344256359656571650380232866) * 10 ^ 70 + 1023624092722034922432143890006876852095071973160177887026819854137554) * 10 ^ 70 + 3846978630720032364631741398921614488004970864359289799470988523741854) * 10 ^ 70 + 9973145686527364533383813636507549308051231988958534661414287373648028
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_266 :
Polynomial.coeff recurrence5Scalar0Exceptional 266 = -(((((1742 * 10 ^ 70 + 9059198139911590431114404301453754844889068813199721680563694226850694) * 10 ^ 70 + 800376083451263134499388550120685637954470091566427082920076217659023) * 10 ^ 70 + 6435854388029384681102584621527506030045522903687511160296324753876237) * 10 ^ 70 + 1436915111960074454477707134353319296816385101862153361743713441755000) * 10 ^ 70 + 5708552899662795306723030756396309795378334480402596121007565305381768)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_267 :
Polynomial.coeff recurrence5Scalar0Exceptional 267 = ((((514 * 10 ^ 70 + 5079966859034356395470624530653209832114071158213158900056607161887526) * 10 ^ 70 + 1373489824094236707887313898901197213716043778910661757919280489843385) * 10 ^ 70 + 4940425037566871091134739142990374491715744699392812001762785690772507) * 10 ^ 70 + 9514805180433892163912854532608208702914660793065730331076336684810040) * 10 ^ 70 + 2461345853673296108443089395753179976737958614816023927969738904995376
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_268 :
Polynomial.coeff recurrence5Scalar0Exceptional 268 = ((((17 * 10 ^ 70 + 8614813593292298344496647742525252179022563536643077012488591589852349) * 10 ^ 70 + 12266211254808735494441268598024633942677456352669245980347063870799) * 10 ^ 70 + 5473921801860817297391562095824656005166748533533825064286588265038492) * 10 ^ 70 + 9884948774808100053857272630664113594166271200669091163327517229465706) * 10 ^ 70 + 1186110800991225624612780302696888867017797221215032324544027801330253
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_269 :
Polynomial.coeff recurrence5Scalar0Exceptional 269 = -(((((200 * 10 ^ 70 + 7379080002611428390410801385677102743841557411068183427823749914546087) * 10 ^ 70 + 2780187019656503702180826037452198998079146262260301812483540933735326) * 10 ^ 70 + 1712143522802727110937322066238945718043961706642907243877050359475043) * 10 ^ 70 + 9371471115752945445769435070056883142193932766492269916670232123194593) * 10 ^ 70 + 7021320647953017375272179753980363925094392765240535571246229987548383)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_270 :
Polynomial.coeff recurrence5Scalar0Exceptional 270 = ((((224 * 10 ^ 70 + 8614769319275318108530373518744409177769895887358566655029472450250434) * 10 ^ 70 + 8071834798836000508291327559999998916412487265259746871273057910449475) * 10 ^ 70 + 384811921252425643175351771169708057899036907912413939230384939408528) * 10 ^ 70 + 7634136304842245754627886636648872735393372158687536155511899563576319) * 10 ^ 70 + 1321815843020687893357034288061918176817954394205903219665636086009065
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_271 :
Polynomial.coeff recurrence5Scalar0Exceptional 271 = -(((((188 * 10 ^ 70 + 6637920003834135867674387956554209487895166184848166412139374680437768) * 10 ^ 70 + 3474625154239651466790913111381912419308725499303027764393928383589839) * 10 ^ 70 + 5106258398644329735201108703173738947858287042592153518474475125721695) * 10 ^ 70 + 7550183639577248020629472255763886956772498098026676912002820615846535) * 10 ^ 70 + 5290161595133759579109186063355536267814734008057259943589238035551475)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_272 :
Polynomial.coeff recurrence5Scalar0Exceptional 272 = ((((138 * 10 ^ 70 + 6387613161801658840136037787220730833819750227560159482603057775934616) * 10 ^ 70 + 9942190764596056919535236098104089884770476533853431853630420385081670) * 10 ^ 70 + 6846842868232556786359598375708696171755798710022051211530335252013017) * 10 ^ 70 + 2569140065357304733320048107261716155241369967241021804621002475841308) * 10 ^ 70 + 2810726712763814189509210320685269781407717579684268219845722414295206
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_273 :
Polynomial.coeff recurrence5Scalar0Exceptional 273 = -(((((93 * 10 ^ 70 + 7941753409941404240444650789848506827902976185849964720258276827444930) * 10 ^ 70 + 4420984436476465223516949922674487123680822596866971905611236490027984) * 10 ^ 70 + 748650235959905677968284833746303297989816996096770648363295262587334) * 10 ^ 70 + 2618522510105709580601734342330876063950719590036437766416011073676520) * 10 ^ 70 + 8227756411287685121287896426862812884908093601169809198492267798084442)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_274 :
Polynomial.coeff recurrence5Scalar0Exceptional 274 = ((((59 * 10 ^ 70 + 7115056333923836235782315820971382046246681263011604204820361795765463) * 10 ^ 70 + 3037348485200031762093203030866521355393374947793261732403454457178768) * 10 ^ 70 + 4538029696241688478003733117353086284424001197096592810571087936987422) * 10 ^ 70 + 9440818912708589880871670597032549087394282751590443242022746701789073) * 10 ^ 70 + 3352486067857359571258643644645121555722092854147112524960296698605438
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_275 :
Polynomial.coeff recurrence5Scalar0Exceptional 275 = -(((((36 * 10 ^ 70 + 1647263399594236553749976498350552563575096717689838912267943561260937) * 10 ^ 70 + 3470204156788463261793727742056145773079231311831163035059995937527274) * 10 ^ 70 + 9143998350763212139609103917222381190351419250713287282275674862363127) * 10 ^ 70 + 2671279683541304482503382721944827176034678111606910091446878500772346) * 10 ^ 70 + 608785153712406902966013221271110583437280837256902406947257674899162)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_276 :
Polynomial.coeff recurrence5Scalar0Exceptional 276 = ((((20 * 10 ^ 70 + 9538461440370069986505155279642730064190254523488983314129151357454965) * 10 ^ 70 + 6473288705292821894574376585202236338539419005321043242170680812890913) * 10 ^ 70 + 3101209456788384400056124711600045658055424334269318097449778838918381) * 10 ^ 70 + 2736942809507481216795598625528811466693674374927294560142214375474155) * 10 ^ 70 + 1996375376606074144173547953768460517234145003027670758692243720922887
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_277 :
Polynomial.coeff recurrence5Scalar0Exceptional 277 = -(((((11 * 10 ^ 70 + 6402454746389040047162690238430710330731719008737678983939089596176504) * 10 ^ 70 + 6684527469245138297057163335871239157881959162328200766173924711861888) * 10 ^ 70 + 1553994335086115070289658148682315916999559355067193512642348890286012) * 10 ^ 70 + 5047069219534694250620251282037828215938769575057170711305397530865510) * 10 ^ 70 + 277317016846361167541444230275799803906054255468663684364549714779464)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_278 :
Polynomial.coeff recurrence5Scalar0Exceptional 278 = ((((6 * 10 ^ 70 + 1976323733171381961620585493335965181433042724380915310824155610873769) * 10 ^ 70 + 9653984928175089691050415978203215902645056931171304447282172768577792) * 10 ^ 70 + 6135716073386560407828548689766791709747793125769827766889825082025548) * 10 ^ 70 + 635535923927558698370788945450918528390579922320768275136111047352926) * 10 ^ 70 + 9132642002741538464951358223786657313467981167987010953522066362513183
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_279 :
Polynomial.coeff recurrence5Scalar0Exceptional 279 = -(((((3 * 10 ^ 70 + 1531069922812740045427755980637725964469751341132159896802663067023343) * 10 ^ 70 + 4266527510519030930105773929769959887181015886946113324651965881984734) * 10 ^ 70 + 9727793631888941061676032931092082508662010406241007647392267073983628) * 10 ^ 70 + 2238191356009058100870703579962560500881601191233921337870389000474913) * 10 ^ 70 + 8494338394844138195713496934514982653419742203837368176663515391155811)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_280 :
Polynomial.coeff recurrence5Scalar0Exceptional 280 = ((((1 * 10 ^ 70 + 5226616168999460030427739816621652582531999831690157329142959089232947) * 10 ^ 70 + 6257621384533024021340859093098804971796187239627792632152811044865121) * 10 ^ 70 + 6727350189124478466593358158595644197786322910949175493333112685080466) * 10 ^ 70 + 4459873870077907477142368941744360250679916154248005726554589314556402) * 10 ^ 70 + 2588838824396229827524537218941000797460299727111085134260646001241361
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_281 :
Polynomial.coeff recurrence5Scalar0Exceptional 281 = -((((6889768018083371028670633566571540941032012068757255126269035345983775 * 10 ^ 70 + 8687334723895176746055581237253062734214036958291973103718685119214373) * 10 ^ 70 + 9268345062516246196017108134725172215504114281786958259870766236000845) * 10 ^ 70 + 3227106558211801222659816050351792632890211884646074604330059042272825) * 10 ^ 70 + 5147498507195506267068079950525987609621690938088242322284388544999453)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_282 :
Polynomial.coeff recurrence5Scalar0Exceptional 282 = (((2845440244570482218846254807004037133507690479810171369706939613260539 * 10 ^ 70 + 1907308226829830919913786813993928118140899926039713725086059923768880) * 10 ^ 70 + 1056638205135620382961160503579843225575237163224963291886456490379064) * 10 ^ 70 + 6212312154327274578432412339264940473176036068331204071957111247551461) * 10 ^ 70 + 7494675916057743710646911499617953920079428040668322262917710049250453
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_283 :
Polynomial.coeff recurrence5Scalar0Exceptional 283 = -((((1007209215560642040169586751673491003632085268974798270449389469845430 * 10 ^ 70 + 580625802605954540672265433044023719810436362783838173164730214552908) * 10 ^ 70 + 4469670381993067995654622346534162401551725795074651855471820155546214) * 10 ^ 70 + 6636206381478633528511588407010488939851250089962916409626139318395607) * 10 ^ 70 + 4834990927661068311555328664266676118920675663880462133750056898157405)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_284 :
Polynomial.coeff recurrence5Scalar0Exceptional 284 = (((244065136359568000093842825154992310226793660241644583555159945983218 * 10 ^ 70 + 9696817363067570720088163571941210393405934754220928833612477195876854) * 10 ^ 70 + 5623599776762064270971595004936476837163606463154683976544001944197269) * 10 ^ 70 + 6590212290965373446941988996479206352398802665814631405322661456173758) * 10 ^ 70 + 9747730645955493895886487654624412230523895613862881516142545574404243
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_285 :
Polynomial.coeff recurrence5Scalar0Exceptional 285 = (((28288038323035477932883863519319826605222888161852820788508473286134 * 10 ^ 70 + 5149972246772256533679894686172482910611889995276551569072124367867585) * 10 ^ 70 + 1450787051966536587016531476183827053040397580655425028236207079767202) * 10 ^ 70 + 7547220402788943053294369646270687531889980212188577161670795418058030) * 10 ^ 70 + 8804191981792928673647367988593929110209131491550076789234659807335939
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_286 :
Polynomial.coeff recurrence5Scalar0Exceptional 286 = -((((95888840537029312493592202046159183264004375353780025403046267797909 * 10 ^ 70 + 5248837793030529669040126640130439670087685998648860298406600070481427) * 10 ^ 70 + 7035131622754386757640045154351829508016572022362905682655774169297156) * 10 ^ 70 + 4690760204424344105877313375590560357953888788741256530112919840466286) * 10 ^ 70 + 3760378330442752858177123920353362976636327575226280674335783220181580)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_287 :
Polynomial.coeff recurrence5Scalar0Exceptional 287 = (((89874919858216498964504785138281642019644356246435507060492627577906 * 10 ^ 70 + 2219174334155690807439686703986519438334771319430615201410521621477118) * 10 ^ 70 + 9875957301452737731877625685786092775133674648937624013301580043483726) * 10 ^ 70 + 2180825772651730886749130391454301833566392887063419207727973818425052) * 10 ^ 70 + 4179162932774556314419867608039345410733040611875305065799512069342900
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_288 :
Polynomial.coeff recurrence5Scalar0Exceptional 288 = -((((65207880504948520473279947305864972824316724276851017071947420673136 * 10 ^ 70 + 7451280036890335040377122866537676206710564402109266628538629525845816) * 10 ^ 70 + 6973415464974723344146728168484281425934274750946335232600127709362400) * 10 ^ 70 + 2794088642465785236764919773807934461362108682312830941869752707437606) * 10 ^ 70 + 5477281636476184279678535027430490828111244116373318931575338599998990)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_289 :
Polynomial.coeff recurrence5Scalar0Exceptional 289 = (((41780198995733693422676260369709601746176515342667572968546404173513 * 10 ^ 70 + 6629523467909702225339959732191845936185924328713360071619204192632961) * 10 ^ 70 + 756264690665988273442530107415480124646652057922376743066768889466525) * 10 ^ 70 + 2739782851917154182103055963151958328167674289790337503221072842425549) * 10 ^ 70 + 3326355257300704265388429719840242267740609179202702572146662281594712