Recurrence 5 lookup certificate: Scalar1Exceptional 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.recurrence5Scalar1Exceptional_coeff_254 :
Polynomial.coeff recurrence5Scalar1Exceptional 254 = -(((((45294 * 10 ^ 70 + 6154621772248728720518031078058755777434861780321099004727963741632418) * 10 ^ 70 + 5803905045138885397849210069554686341103528384032222085748680021775897) * 10 ^ 70 + 4535711543629627251250242466179776384839495674902087464691243494963022) * 10 ^ 70 + 2545356499868134882679621434809366622950334498920448590964709521934134) * 10 ^ 70 + 3682818451771172629378902951454118349310213262288301737420857156233799)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_255 :
Polynomial.coeff recurrence5Scalar1Exceptional 255 = ((((29984 * 10 ^ 70 + 9255071226311741139002154176236716709379595551065375218435014576036188) * 10 ^ 70 + 5252539619869275986048220251297073182499351932142670982265700029174429) * 10 ^ 70 + 6808059468237828287704410465778027013988084046910858594148153922471034) * 10 ^ 70 + 4144514148533557873448569352870148365806506392900529220591231270864690) * 10 ^ 70 + 1158743133693240284774897678949937512281429507779139310441260979051325
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_256 :
Polynomial.coeff recurrence5Scalar1Exceptional 256 = -(((((19209 * 10 ^ 70 + 7472089996566949740003437199959910541957805005452895711987775417398672) * 10 ^ 70 + 3652429957500067681282593895603868498517360250180469396322626617960270) * 10 ^ 70 + 6550020909100480472956930463412555005123983120293865823905431792543323) * 10 ^ 70 + 9040873707424566835701317888112775526719675754054179436042331722651019) * 10 ^ 70 + 243963741732372861646900547211026531296378724171166825502545020691053)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_257 :
Polynomial.coeff recurrence5Scalar1Exceptional 257 = ((((11890 * 10 ^ 70 + 9014737141742737322542800283777705762794002225464688676080613134197712) * 10 ^ 70 + 7065116402469489125838157707307458065129868852508781242632723471756504) * 10 ^ 70 + 6591768478046350063763424533050352269816373495118544320905766536097009) * 10 ^ 70 + 5714565207867316126840721833691437527668015930207049816720402902651271) * 10 ^ 70 + 194118046887249053025283684024934243326171950231648260329762063272010
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_258 :
Polynomial.coeff recurrence5Scalar1Exceptional 258 = -(((((7092 * 10 ^ 70 + 8026221932374916028541447385104588622372902192143964940204465129991537) * 10 ^ 70 + 6198764413442224548432353547909497235624475812173119742196097720433274) * 10 ^ 70 + 2109992668978467740969069510761462633790930904033385096071998975933460) * 10 ^ 70 + 4801569539369415820658032491588307268051614994758502508390477326718771) * 10 ^ 70 + 9788012565447177214242750104969526703701916355094027704612313643215750)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_259 :
Polynomial.coeff recurrence5Scalar1Exceptional 259 = ((((4059 * 10 ^ 70 + 2021657652723947806282968422565303461690731259613313270834260556280323) * 10 ^ 70 + 7755269734657953075445271696143288514761212740669289751018255982466542) * 10 ^ 70 + 2175050108880972457859159029619879335145052762414434595883406190493647) * 10 ^ 70 + 9802776096012342841414934485938615105093981289308105346505180275873) * 10 ^ 70 + 283596738540146962486752245962606880277553605004981621256562609416281
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_260 :
Polynomial.coeff recurrence5Scalar1Exceptional 260 = -(((((2212 * 10 ^ 70 + 9539559362218792253374849307378567422529343921736455684234201339275636) * 10 ^ 70 + 581199167662156892457036573838257230085947612221354343375275111480094) * 10 ^ 70 + 1146753986107769971776683224331867876245006667074926563390986555483850) * 10 ^ 70 + 614749263790380503537627066083303996616257666263210268519277991779899) * 10 ^ 70 + 1085984849764917946831388773069191873185579398528939362263595260923172)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_261 :
Polynomial.coeff recurrence5Scalar1Exceptional 261 = ((((1135 * 10 ^ 70 + 397198693339505635532334099565465400927127824625649690721225902737068) * 10 ^ 70 + 3218084412583366337524735982544048027133154798691952468917715333827506) * 10 ^ 70 + 1050335571108000630767952877539131120208757089110912722649212042859481) * 10 ^ 70 + 6364554869325413300407446092644469285400126868086504512807745956992436) * 10 ^ 70 + 7840160628608632893300048340191597355252712063661234548778799582042245
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_262 :
Polynomial.coeff recurrence5Scalar1Exceptional 262 = -(((((534 * 10 ^ 70 + 8086178775320463441093597750703941694072287215122527570973310185022307) * 10 ^ 70 + 6754993181287410136913347383090226422063916197362830519203079294716174) * 10 ^ 70 + 9151335612833162618024887677688022695069859204759074658289852517904533) * 10 ^ 70 + 9343802336035014135197498860804147074941556275285810359329175739927424) * 10 ^ 70 + 6005540770470325093267061683776296074602319366249517317125562499600499)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_263 :
Polynomial.coeff recurrence5Scalar1Exceptional 263 = ((((219 * 10 ^ 70 + 2242189000925969300768437083919741096827516364751007437579401557962488) * 10 ^ 70 + 323925471506156230766753432172516058633219356940865410015229423630816) * 10 ^ 70 + 6483611122966631745613650788778662152218138446483778911136832729312981) * 10 ^ 70 + 149268416802956070044257347138239943846192323547106606542505516646502) * 10 ^ 70 + 8648675642091872108061136345309643961918302112438685864032035501891506
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_264 :
Polynomial.coeff recurrence5Scalar1Exceptional 264 = -(((((65 * 10 ^ 70 + 4749323635496771801637841235646253386824837891901236377516776190146719) * 10 ^ 70 + 5848646189659557298917107681924786367204460707513137529586560440977676) * 10 ^ 70 + 7987635295708023702530757788838004551571746546544159724014406926054648) * 10 ^ 70 + 9238916233046339147114152478404822699706804670792389064115835599257276) * 10 ^ 70 + 5035768958616531507637288796471477508743400427601005441722263548074449)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_265 :
Polynomial.coeff recurrence5Scalar1Exceptional 265 = -(((((1 * 10 ^ 70 + 1957898748089028024189174558454920562271975339828751884545937864844224) * 10 ^ 70 + 3833961609401158846507397822857557031894046471525853239241694143198899) * 10 ^ 70 + 4489377525793824846975786053297232990412873503326344189648128788327711) * 10 ^ 70 + 513876058347290612489711644488714274890548976967433925077785165118222) * 10 ^ 70 + 2702627083183942093679869305064950843401651884220360513995245695276235)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_266 :
Polynomial.coeff recurrence5Scalar1Exceptional 266 = ((((24 * 10 ^ 70 + 1836845903267623227400969815720682342783810480132060574900664977183834) * 10 ^ 70 + 2928160032582131692541361181756650556783052749383741314094121701169208) * 10 ^ 70 + 5979728551125591419431459795391759078271541600967392935499312630335933) * 10 ^ 70 + 9133564692309094582157635084825465083571046754422726410429735549085366) * 10 ^ 70 + 8272574046372281152100151312143131842347106182378494436446478375314123
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_267 :
Polynomial.coeff recurrence5Scalar1Exceptional 267 = -(((((27 * 10 ^ 70 + 3588001505581563515093118141768193471744178833987000242351664897151983) * 10 ^ 70 + 2228862819787576118973937045606686869416885929846154261089786090032141) * 10 ^ 70 + 7732207763469691616891042563631925839676011364258884686655002062172375) * 10 ^ 70 + 9423719281278844772648753893235960775602232104596964477778436513966666) * 10 ^ 70 + 6602641919187081849191903013520728537500403143054494781196868945420139)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_268 :
Polynomial.coeff recurrence5Scalar1Exceptional 268 = ((((23 * 10 ^ 70 + 141386949395964285768701700863134975236658497593074130940188099011743) * 10 ^ 70 + 9763403050670771295841324122239687634976466015686965772356100728640083) * 10 ^ 70 + 358928525840706184249998461213517782497930989606882851083542003079344) * 10 ^ 70 + 4678037924081703956862198865683318608018743446404622338784584542912177) * 10 ^ 70 + 4767202132554330597702360996510304401027570426821602355064792047810050
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_269 :
Polynomial.coeff recurrence5Scalar1Exceptional 269 = -(((((16 * 10 ^ 70 + 9369627936354551210884986372108710324485914122385426916309815746203774) * 10 ^ 70 + 4460343781931277596425620445039678785569519521715603349713975036033553) * 10 ^ 70 + 3032331492801465702697939616269176648360368651242646370423005504642668) * 10 ^ 70 + 1838021465214052984831178448823326260162521595692770084141879707905784) * 10 ^ 70 + 8842866751855529480826796624573200274878786892148425364523310457763545)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_270 :
Polynomial.coeff recurrence5Scalar1Exceptional 270 = ((((11 * 10 ^ 70 + 4823094025117643065082564325156064733177684308888974732000633478621190) * 10 ^ 70 + 7428874021849330869670372502653786174155776053462554150460826316793843) * 10 ^ 70 + 5366408979789016214101155024354097017632353719265359288557480925352216) * 10 ^ 70 + 2528761499011563157437278970691176514109598368737409726168824176198766) * 10 ^ 70 + 8515680659698796385553259879512649948965508693695679376362031072324027
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_271 :
Polynomial.coeff recurrence5Scalar1Exceptional 271 = -(((((7 * 10 ^ 70 + 3370869028932396466660811344410914564326595878895853207836175319347154) * 10 ^ 70 + 9609637465957278243670096416648973854827030626987211298490007699192787) * 10 ^ 70 + 4413332527048533033426137554046006110016842310263852654062333095942759) * 10 ^ 70 + 9411742701951702990095230480706130814820768842648198875333369733298578) * 10 ^ 70 + 3568301691603723118057631733261568738858336271400266764867442678014919)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_272 :
Polynomial.coeff recurrence5Scalar1Exceptional 272 = ((((4 * 10 ^ 70 + 4720332264816964192065356216236757816007398563135438307980708956112722) * 10 ^ 70 + 6746449849930212737406251258914010947560818055514757952153578918144872) * 10 ^ 70 + 526860478748263771999432525628659588647426033818873867536939425910488) * 10 ^ 70 + 1164224483675356961526737363755437219875357992712393686927887903422118) * 10 ^ 70 + 1812855199413624721940823257946991756316660259384892632287030955875615
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_273 :
Polynomial.coeff recurrence5Scalar1Exceptional 273 = -(((((2 * 10 ^ 70 + 6175104730107535720520755894214407439813485192772151273298547864996565) * 10 ^ 70 + 7760031638266301278632091031119842568576421200399884573622187739032286) * 10 ^ 70 + 9712077890579057692318286104311159603785274331505588069219567699154783) * 10 ^ 70 + 5512801871843421002381646339185248735770064297838534139054740901138284) * 10 ^ 70 + 5595950989457369628032568110193877882261606169439623734926553290504984)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_274 :
Polynomial.coeff recurrence5Scalar1Exceptional 274 = ((((1 * 10 ^ 70 + 4767449745963351080625226494237786030998390345517638785685098955306460) * 10 ^ 70 + 7334835102547335367361879401405937250394517917193071059001857401680091) * 10 ^ 70 + 7795474236894677545533867878985093341989271236626791625229100659252837) * 10 ^ 70 + 6359318319076978122068973855402797638541860532939251249599976214726534) * 10 ^ 70 + 7244092927762699276587881220999548568383113176486716849698088308959263
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_275 :
Polynomial.coeff recurrence5Scalar1Exceptional 275 = -((((8045041667490213510178161673938450699173296288088701984395401489991266 * 10 ^ 70 + 3150771734966170959961150927881048069550145686914093792994886979115567) * 10 ^ 70 + 3351723349733862164272226327832453226254801924349956057373279204027502) * 10 ^ 70 + 7195649368826029833428577958454173665799532366964878128587717121814170) * 10 ^ 70 + 4005080266161076947242024405919109660680329131834215403435676621391967)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_276 :
Polynomial.coeff recurrence5Scalar1Exceptional 276 = (((4232764377489492211065626064960965194754972853586739243734614015123462 * 10 ^ 70 + 8107304243348683327986880499498204159749428480727974332267679378186544) * 10 ^ 70 + 3346599744815511729120415054956065940674353877001527004061077497604244) * 10 ^ 70 + 9203767923443136194473705199879927969338734758391421821576122226475142) * 10 ^ 70 + 9759424994808820847377602576722066189023527459801223119272827500567005
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_277 :
Polynomial.coeff recurrence5Scalar1Exceptional 277 = -((((2147475350649081650753907225537177570759468791417264702984905814099723 * 10 ^ 70 + 3003396179774505140695947832469684542783299821248147254747715679486550) * 10 ^ 70 + 6050974284436164732217905297520742016279438738132636825315338840209901) * 10 ^ 70 + 2957923954771713319525818231741285748793035941939709564835085167407851) * 10 ^ 70 + 5553846318718171291394071140227343803501427285904562942676040396283334)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_278 :
Polynomial.coeff recurrence5Scalar1Exceptional 278 = (((1046682268542196117924595217309219206189984564540982366119470044603012 * 10 ^ 70 + 6895991325139863025467523036707816616041101278047561656925687970086550) * 10 ^ 70 + 5668475096419847036714751237929404444756850647787098564927088616368223) * 10 ^ 70 + 890447659655187834059177985678012052522128828257970885469935052109567) * 10 ^ 70 + 4669246291587760120194656571445759408133891153887302156717932919849555
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_279 :
Polynomial.coeff recurrence5Scalar1Exceptional 279 = -((((486539963082342125800698307324133084806393126904560474851313162752593 * 10 ^ 70 + 2763124419417293366510538119500433159349007022227678179319544541960757) * 10 ^ 70 + 2796903855018438469851661359986743990883266921416991059194297790634216) * 10 ^ 70 + 3356787291709752935307176161012612891237318781872783359614587633505898) * 10 ^ 70 + 6492505524916892875583722518292859434415606796169833785287747051868050)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_280 :
Polynomial.coeff recurrence5Scalar1Exceptional 280 = (((212688930241249563739193988811859202760477107401345429036845316432826 * 10 ^ 70 + 4179162528218744732225540978982643029967709134412847175449446537924344) * 10 ^ 70 + 9764089333238347578979835376363644285200385351551209654964739848103646) * 10 ^ 70 + 1960529349911265781461269941764707009544078463349841621283971563669551) * 10 ^ 70 + 7992233854785749020916487326784684215001431014367144730512640722036973
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_281 :
Polynomial.coeff recurrence5Scalar1Exceptional 281 = -((((84901029891489378939380702062853600946526961337019338943677746804534 * 10 ^ 70 + 4830385410303499369052317557785249910030649157710323831131187591012980) * 10 ^ 70 + 2631364656256200314592867529734935623779056469879633876302546155933773) * 10 ^ 70 + 2935755682176957773945110720687797989597434849617790625272230915954740) * 10 ^ 70 + 4182732919260185740850547953507092941269324546007281289629320946017958)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_282 :
Polynomial.coeff recurrence5Scalar1Exceptional 282 = (((28705698740785025858245603165447691529088569428657665043690495738335 * 10 ^ 70 + 1356685633645687549811361622240910231392957584379909130258016075678108) * 10 ^ 70 + 6459820458206260613909408346748860493643529788577323216304612198135709) * 10 ^ 70 + 4035566549840818283869143945517388138827446341263975148999404352421667) * 10 ^ 70 + 7592790178281222275301140378676928844449543815507004499787713066685275
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_283 :
Polynomial.coeff recurrence5Scalar1Exceptional 283 = -((((6022374278649168120339232806596000081262790777889267964458656025500 * 10 ^ 70 + 8313454653617635256898094184220164020414485764420722379621430257583931) * 10 ^ 70 + 7429724702239508909344549442301690253301312091324591156348287979521219) * 10 ^ 70 + 1747243848510365833231136508437639908909177204885988186857924110909420) * 10 ^ 70 + 623909433542823746342279740453118638807175998623278306752043604424593)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_284 :
Polynomial.coeff recurrence5Scalar1Exceptional 284 = -((((1852163455161984163280125472938642803079042310070309235897372228533 * 10 ^ 70 + 1581874846022352448001966224663867320095860765948126870794395019364899) * 10 ^ 70 + 7223960210001551332644139565767352827082745798343452947143788201249708) * 10 ^ 70 + 6697775341862840688869358461996937397308430698991839695213547228225415) * 10 ^ 70 + 4674301179199065367523622569760174603560476992561259181837079377999620)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_285 :
Polynomial.coeff recurrence5Scalar1Exceptional 285 = (((3693637067682904626111906889478587591999056280827659936365524522258 * 10 ^ 70 + 1540098719005879519857711619037634845709986866156190304779741852157863) * 10 ^ 70 + 8683515103973782354829053251643434920798064270611525799897663169474362) * 10 ^ 70 + 9619978710071805435068896538867639620301194657709231527766577532106353) * 10 ^ 70 + 8778934054502734760666919550092353173408314554714310487257387306691425
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_286 :
Polynomial.coeff recurrence5Scalar1Exceptional 286 = -((((3394589826893880931385844918201701369304427316114911129248043648523 * 10 ^ 70 + 2956870111566660348513292488466306286121247828624857388588179754006109) * 10 ^ 70 + 2885700779780819381917114632999464691775673744055329445104227241302436) * 10 ^ 70 + 5295178733148270103049424199403822275986498371078626863526845351910991) * 10 ^ 70 + 4947265527293691352219592496065433849160987395534489522161966103779932)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_287 :
Polynomial.coeff recurrence5Scalar1Exceptional 287 = (((2552651656042288911913626903492653142487292619836041113299420120860 * 10 ^ 70 + 3459095608679969814093149746281439272724718702236635568319663488225517) * 10 ^ 70 + 1112102175789662439534806255319119140844806357955002003904597224012620) * 10 ^ 70 + 2765665834409690771010773327073296878804319877531029405781168097334262) * 10 ^ 70 + 9676416828863014601446192690973367144517691326334620529612192115891984
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar1Exceptional_coeff_288 :
Polynomial.coeff recurrence5Scalar1Exceptional 288 = -((((1744842985629965263077718833707054745868269654756721895177789069576 * 10 ^ 70 + 6054545324740770901321466768500031805935726140707636476889309687278993) * 10 ^ 70 + 9099618025115738578561655544257120757069059559665824501787708963674509) * 10 ^ 70 + 3353138680721590481685941854095770539944636744581093092489613287340794) * 10 ^ 70 + 3494156124917334604008852352651865207262206452123292418769826190635524)