Documentation

MazurTorsion.Kubert.OrderSevenBacktrackingResultantRecurrence5LookupScalar0ExceptionalPart1.Coefficients220To254

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_220 :
Polynomial.coeff recurrence5Scalar0Exceptional 220 = -(((((85840266 * 10 ^ 70 + 2455331457885766437075491568336515225685238860812437379557192298249666) * 10 ^ 70 + 3764903930833486668445532006281474531360168976700184246694365525640845) * 10 ^ 70 + 8995023384895150624351336932905237357034546174596902983442326673541554) * 10 ^ 70 + 2058821827688113620674093180569205014124470847544717727177950214963611) * 10 ^ 70 + 6446479821842498892970972691907233511177564466487104392938782069419247)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_221 :
Polynomial.coeff recurrence5Scalar0Exceptional 221 = ((((83790923 * 10 ^ 70 + 1676645935090146837858139814703507127158523246179022458962576490303527) * 10 ^ 70 + 8178855418160275056647764561392490494054093667481192571933615503400298) * 10 ^ 70 + 5933287734283086773539335842864461821485613245889165069833797944061153) * 10 ^ 70 + 8426829384396434876317827786054175947708613780582810884261295906337260) * 10 ^ 70 + 5053609808941265274864333233159254171439308182932905798960970148428978
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_222 :
Polynomial.coeff recurrence5Scalar0Exceptional 222 = -(((((78800306 * 10 ^ 70 + 3950913732320820747914647044112403887669544639838416867565419663982408) * 10 ^ 70 + 3489919123942837023490921722779293801127912489093434371993401457726429) * 10 ^ 70 + 1256079736120468630829108014895810065609729283396461547804694837064460) * 10 ^ 70 + 6799003769090501798599968855544317089916750049430005648461999856747042) * 10 ^ 70 + 3618854700165852716412796342566406448081427341452336593132568495729172)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_223 :
Polynomial.coeff recurrence5Scalar0Exceptional 223 = ((((70938575 * 10 ^ 70 + 8053417065244554873590915807919164843769923187040178859376628851512724) * 10 ^ 70 + 6919646021289459958571383063151260601638953989714137235900533497413835) * 10 ^ 70 + 7843682106242810202778667270602880872189920354468057769770415793906887) * 10 ^ 70 + 6782240814586214627493108136957047905660617224167738863407246945163301) * 10 ^ 70 + 2629625503117830957576148842775921441943501239051317492603677084677759
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_224 :
Polynomial.coeff recurrence5Scalar0Exceptional 224 = -(((((60501042 * 10 ^ 70 + 2103333702527924646509060942781570125619024001326566598953137378628957) * 10 ^ 70 + 6328053641923848183245620168038094437650506929592747356242134588515041) * 10 ^ 70 + 5521817118381194027777095486718186818453268018365468238885654529068839) * 10 ^ 70 + 7827936380374014185268257867075262870095393354816165221465835925485394) * 10 ^ 70 + 3547205651470035954510196570411311950183277617019436026392435440241720)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_225 :
Polynomial.coeff recurrence5Scalar0Exceptional 225 = ((((47997150 * 10 ^ 70 + 1831242393798877646608475938465841310298866132379063093736433323179027) * 10 ^ 70 + 6068969932450667409857517267286526168591457840906341281432636492190698) * 10 ^ 70 + 2905648478501854766128300056032295669138585603862125729665625169132883) * 10 ^ 70 + 7537832926640032957616013123379438701023989325099132756174820531318122) * 10 ^ 70 + 1296864524544585506716151547857661898426927470106489104847925072118947
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_226 :
Polynomial.coeff recurrence5Scalar0Exceptional 226 = -(((((34114420 * 10 ^ 70 + 2752460869509869890033745883164799187898889085198994214555304854328153) * 10 ^ 70 + 5790683813852957021614789978928638284130036010797629669209544797709904) * 10 ^ 70 + 2363765998853948414630632415967266398341531471223719906546117288787738) * 10 ^ 70 + 8062922597035439717775211378813570760531549054349776124392839043916122) * 10 ^ 70 + 811981929717713479421438929989081703560941492354190340394404972483738)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_227 :
Polynomial.coeff recurrence5Scalar0Exceptional 227 = ((((19660338 * 10 ^ 70 + 2574898244128920080717503537624187858802696727028781425016045186034739) * 10 ^ 70 + 5652888185263254458421038108349160398212089282013858332601703071880941) * 10 ^ 70 + 7152872000295440410718417076508331949714389077863002057835760102261720) * 10 ^ 70 + 2962638263446296300006227017484670918165553455849951923223973434236819) * 10 ^ 70 + 2863876948821376273780545844371494214227000108439231987386866650080831
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_228 :
Polynomial.coeff recurrence5Scalar0Exceptional 228 = -(((((5488615 * 10 ^ 70 + 2183220932700908546624796398941086508884246340193501414420204525746718) * 10 ^ 70 + 4483904588149722877748417972414749364612984179601478860790322618629652) * 10 ^ 70 + 5351359711987560774594104008888428773145586949129028097843795555443947) * 10 ^ 70 + 4477063882087083842331156034821374524576339268900250454969439260194486) * 10 ^ 70 + 3486507022534010755645512034400646045197504762316737037501927484025505)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_229 :
Polynomial.coeff recurrence5Scalar0Exceptional 229 = -(((((7581175 * 10 ^ 70 + 7371226567215651479568109305358811124315315667385822144048233885011037) * 10 ^ 70 + 7907268246483660862048779115316523369053775958097346357827797980788296) * 10 ^ 70 + 8227346052111308677452004699432317969857615192732700765106859708070696) * 10 ^ 70 + 9103594632229324608101217787979768486364656354359026432735555831515802) * 10 ^ 70 + 5088441899250848610775874307603650316533158769357660961412665584983761)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_230 :
Polynomial.coeff recurrence5Scalar0Exceptional 230 = ((((18840360 * 10 ^ 70 + 725081188228548642676100581612669348026674007903937439785158553607601) * 10 ^ 70 + 3338694412009367183688062115953351815184268288574609917681028630661775) * 10 ^ 70 + 7617111626639290297659635703681531114241692069701163320122065186990358) * 10 ^ 70 + 7323109552584639063867550717094258255421960893593940840042361474991116) * 10 ^ 70 + 9488797988234567418783502050634551818482697750836216705201152799866583
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_231 :
Polynomial.coeff recurrence5Scalar0Exceptional 231 = -(((((27754498 * 10 ^ 70 + 6346013579964132565297952288444687905942110158992441051203099243250426) * 10 ^ 70 + 7595642263006686852297637038484329018901599259489387295113427358341032) * 10 ^ 70 + 3072170689615516213776267996890537404914388317311684335619355115440906) * 10 ^ 70 + 8124356284691272269267353244934932222380881320810758039883222203264654) * 10 ^ 70 + 9517191113533436365493966086762812725833897559254664509125678694286348)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_232 :
Polynomial.coeff recurrence5Scalar0Exceptional 232 = ((((34005465 * 10 ^ 70 + 9532611399172574582890794918084343664057952855129999848344483732589735) * 10 ^ 70 + 2866527944750106705026578708588961845100108908501899885865167538687845) * 10 ^ 70 + 4227711955415907273903348178322339042308744330110999202893127977840621) * 10 ^ 70 + 4376498706789355313205494443459645527505835131702637821006315403884185) * 10 ^ 70 + 8852449515936714787878288875750902453938982460995287888049994203534971
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_233 :
Polynomial.coeff recurrence5Scalar0Exceptional 233 = -(((((37507653 * 10 ^ 70 + 3976561871486781258101095992618038628935619188090391256739307678817527) * 10 ^ 70 + 9684876371993243138075540668872799202982235270799383244133985641664606) * 10 ^ 70 + 5583614446217185217854809252658549533106825037204999803790679171374307) * 10 ^ 70 + 737206315019764566125361717894418317061168828129542134490253574289654) * 10 ^ 70 + 1480861821613720271217212359809596317976969223837093924741747820714472)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_234 :
Polynomial.coeff recurrence5Scalar0Exceptional 234 = ((((38397547 * 10 ^ 70 + 38202124625140109739153584031786362971980193238650033280733277142035) * 10 ^ 70 + 7623455593730540774836971559331056934108077438337796098859617530802301) * 10 ^ 70 + 1292871385607138141609529216246555384269423151699728256058356734255038) * 10 ^ 70 + 1066454604122252081661067512765991455497764631739411616714178785979553) * 10 ^ 70 + 905519456176959580469650406881454927176853841654916956233851319132130
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_235 :
Polynomial.coeff recurrence5Scalar0Exceptional 235 = -(((((36999750 * 10 ^ 70 + 2858112768608636732377909648538313321443715953459331493594712106072450) * 10 ^ 70 + 1436136494972353350200560930618689192362345719170138051570518881939135) * 10 ^ 70 + 5092998109198936206697322147251926932444341861784116311673795014583675) * 10 ^ 70 + 7508035832623120995151451018632351593212978305586889907711143845431580) * 10 ^ 70 + 5970549974149890279929225781188695574960563996525873319619132793253377)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_236 :
Polynomial.coeff recurrence5Scalar0Exceptional 236 = ((((33775637 * 10 ^ 70 + 3084845272230811473732433659573535827757687534636158507653879283199856) * 10 ^ 70 + 3043656742666084859731364276035478422943226413231828919802776324611651) * 10 ^ 70 + 2429167974133547488954425746374794423479700462089225273982108868232612) * 10 ^ 70 + 9417129154786638786751549057650286098138950699582137671703204911463594) * 10 ^ 70 + 2827386885098298417429444825735734037661729724571389369292284142507487
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_237 :
Polynomial.coeff recurrence5Scalar0Exceptional 237 = -(((((29262738 * 10 ^ 70 + 8195184203436298885738881893072446337990127160063228429039163345521149) * 10 ^ 70 + 5591352880311807604929554779554179357504726595193910048466794110633067) * 10 ^ 70 + 7116913210506184111804080995679679412503590916282315853893494930757523) * 10 ^ 70 + 5402533631377208656479872210173477698262585727756167454118758655429524) * 10 ^ 70 + 4706462652555915388747426800692961009480416043329321966960894963873319)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_238 :
Polynomial.coeff recurrence5Scalar0Exceptional 238 = ((((24013449 * 10 ^ 70 + 8967197252210505896626613182189139383603574454192802025587829924671376) * 10 ^ 70 + 4785876459182000367257652518871591993270534564691888162773397210019735) * 10 ^ 70 + 9030069570505017806858851152976421665288147192393628676675686609169670) * 10 ^ 70 + 7036252304795019879450340400134951949889821910306138810061020296517994) * 10 ^ 70 + 6134406412954990956882495283647906765527130763326100251959063376563377
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_239 :
Polynomial.coeff recurrence5Scalar0Exceptional 239 = -(((((18540752 * 10 ^ 70 + 6322533697603068401581670192212542621590387191187230797256155129486745) * 10 ^ 70 + 6859689924959695665202751534130423126597316379184441289693948376446250) * 10 ^ 70 + 8280066438016168665789953874768094196108540289257511625529086082894973) * 10 ^ 70 + 4702751065623151353889321309434068573621838303825140716754186617644550) * 10 ^ 70 + 5053937735193329586568686164466016050908628178150809418464757757331987)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_240 :
Polynomial.coeff recurrence5Scalar0Exceptional 240 = ((((13276673 * 10 ^ 70 + 1628098427117805450107004364527953689508598132631717306661427106409289) * 10 ^ 70 + 3595331498193077834741722985200878846824759179994967645977940526795972) * 10 ^ 70 + 8152478894497789833387246203078745228618073463396547111829645004312148) * 10 ^ 70 + 6798101329785628550264179629143019424712119532842610905159560234617647) * 10 ^ 70 + 8570130156166589491289752948588738070724306646388658987239093505542197
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_241 :
Polynomial.coeff recurrence5Scalar0Exceptional 241 = -(((((8546604 * 10 ^ 70 + 3800538632934538863978242779962362576943799656787490505356015442703828) * 10 ^ 70 + 6892705286250382057046645814920318473833922972316011847591806466388399) * 10 ^ 70 + 3182945922553405327235101384662993947504295483887918760899977255472393) * 10 ^ 70 + 7764209136392894306050088459133953929807072403065537122659031457394980) * 10 ^ 70 + 8727081322504230851606587717843520111684205075348077064031575436899447)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_242 :
Polynomial.coeff recurrence5Scalar0Exceptional 242 = ((((4559942 * 10 ^ 70 + 1745354523599762782697880005812281291050385877101138182180177206687482) * 10 ^ 70 + 1621894428553426476235539340983465875441905838239128133738975105413878) * 10 ^ 70 + 2151539284668837455016893821142735083963768060888831010127414280722272) * 10 ^ 70 + 533475342307626643591481028068218552500860721718726256828090869651423) * 10 ^ 70 + 5344395562547584761664499231525683848938731940653516861780624956572709
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_243 :
Polynomial.coeff recurrence5Scalar0Exceptional 243 = -(((((1415166 * 10 ^ 70 + 1808779588521034541324768638949330635769389997973994560409793720557775) * 10 ^ 70 + 6482220850643367993680437306372494194154890092138443644476906264792205) * 10 ^ 70 + 299998033650797157339014189274206993109983919965201146296068709247007) * 10 ^ 70 + 1890937986697407518658702622264464583953020317947366086057912520771683) * 10 ^ 70 + 7767590394172024210864092801878276524786460159366699743319464694006115)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_244 :
Polynomial.coeff recurrence5Scalar0Exceptional 244 = -(((((884130 * 10 ^ 70 + 4740149889891664569671915905747379862322363662425316542654347537911670) * 10 ^ 70 + 392869999764815559551526000989705486598250592620708847039465428230815) * 10 ^ 70 + 5511950337809357368711878387264642289608584987980677242650979696611732) * 10 ^ 70 + 7593928492089225508691431869475342221852969137866344041773624931484572) * 10 ^ 70 + 7172883178790731572371975927975061136846472036062070364893076980554014)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_245 :
Polynomial.coeff recurrence5Scalar0Exceptional 245 = ((((2406549 * 10 ^ 70 + 2050635600024809546631885831855790790926671709107236247544090149467025) * 10 ^ 70 + 3228253607714488219417031352046170587091006344739857170717653778530515) * 10 ^ 70 + 9112849359575394572376857551468313269394712911899290815099144160779034) * 10 ^ 70 + 8787241120932336186224618038708740795343720372191643986958801780066874) * 10 ^ 70 + 8011064014492902435548949935507502686042169594241584414703064146261576
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_246 :
Polynomial.coeff recurrence5Scalar0Exceptional 246 = -(((((3267805 * 10 ^ 70 + 8092136285703403408980980100645182831384508063000739259004767062075962) * 10 ^ 70 + 2561611872944733212926492078070283722944266227123024287327655126405129) * 10 ^ 70 + 5630789873638748226197809214631200332961999867862327767717030378003884) * 10 ^ 70 + 811556844716833571751162267760955780742070964472598923179150988544031) * 10 ^ 70 + 7998052494221628656152456430368812890822269072517401208207489349955402)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_247 :
Polynomial.coeff recurrence5Scalar0Exceptional 247 = ((((3606887 * 10 ^ 70 + 3791631443728910185047832383833905391637417539487406639454356299185207) * 10 ^ 70 + 3312561606115915256283904115160333117572686351037473721812385750621179) * 10 ^ 70 + 9661447890013930915574770502419910723845582964566536247417836885785790) * 10 ^ 70 + 7385049179914207308531452664399835568236439237442490964340187403148612) * 10 ^ 70 + 4555032750424182145997927527260356474905058945388450467445678461833518
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_248 :
Polynomial.coeff recurrence5Scalar0Exceptional 248 = -(((((3566032 * 10 ^ 70 + 1497795437880098950518418336124149419964839492265341834146855513690651) * 10 ^ 70 + 3742342527036566070097466661427997871723286782410798355592496337090384) * 10 ^ 70 + 5393424277030133649441320703155723173390471832981746364910796198473185) * 10 ^ 70 + 4207422009291861528703355221105526246975720248263083680092720777402922) * 10 ^ 70 + 2135247755684050475627692615367506821068614629876795581847587973949492)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_249 :
Polynomial.coeff recurrence5Scalar0Exceptional 249 = ((((3275947 * 10 ^ 70 + 5025778582503324121358064535733184363223423208260441767172562699163057) * 10 ^ 70 + 8653464452117427724286663175328592590369572638225879726219196627688474) * 10 ^ 70 + 4647834837213388237419638772005344916626801336331580782574376304500481) * 10 ^ 70 + 3916743198654534247687474022639979296805777424987876523294537629256603) * 10 ^ 70 + 6423365437144123969053256520803091839422086845259360343855882985628846
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_250 :
Polynomial.coeff recurrence5Scalar0Exceptional 250 = -(((((2846600 * 10 ^ 70 + 7139790463914812890543336685293501175554390160162705112641642020636912) * 10 ^ 70 + 6823224750317020163635197450264320197548666320174747013691232143775278) * 10 ^ 70 + 7739562832312370228709932878561639625663628030677455372056665206135664) * 10 ^ 70 + 5769690618529625674722747059045811035733643947869272427116326216394613) * 10 ^ 70 + 2487123254152925018287834911704393000465956939002930596028129520096196)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_251 :
Polynomial.coeff recurrence5Scalar0Exceptional 251 = ((((2363076 * 10 ^ 70 + 9023204808544958039037921448465037799887214505914440773057458746203169) * 10 ^ 70 + 6788814599128018060858896924734689923790325514967129182308380310139198) * 10 ^ 70 + 7557775331193245954535189379565104514099027970461691831380345925072802) * 10 ^ 70 + 9739544294381939551277753755901983951691826073053549903761611305451229) * 10 ^ 70 + 5550577074032364760290203205576869464845851330956297468062701419480341
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_252 :
Polynomial.coeff recurrence5Scalar0Exceptional 252 = -(((((1885468 * 10 ^ 70 + 4464606525258990156940897908696483082216933053343317773319718143348194) * 10 ^ 70 + 3324060670457568793213106277736956063022768710108174943299724755073870) * 10 ^ 70 + 577755766876330892570451630065100886983778531810112022410938356513365) * 10 ^ 70 + 5165259958254735291491799247055742558910941744376798764798708412181452) * 10 ^ 70 + 670550867544780419299132287207854877483682367188612956106963826665578)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_253 :
Polynomial.coeff recurrence5Scalar0Exceptional 253 = ((((1451536 * 10 ^ 70 + 7809927786806527691094252519996815671287570524926458109112874717721843) * 10 ^ 70 + 7588175155177206911859446120295986828380952211632152719009760587518734) * 10 ^ 70 + 9423208863843773787262940116392869570635929658628146178379601789998742) * 10 ^ 70 + 4901134821927648513632012670003489750754185130036293126586630007351900) * 10 ^ 70 + 2470125481540162920682299850416109537444570395720159515548765421922013
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5Scalar0Exceptional_coeff_254 :
Polynomial.coeff recurrence5Scalar0Exceptional 254 = -(((((1080915 * 10 ^ 70 + 8758517576829717571285139673249299910983829674307345831016774232819063) * 10 ^ 70 + 9310580269130853409734643183723391658435086499872642401813569336072595) * 10 ^ 70 + 6381174914674237792796684353726681867470148157265892474011631246538922) * 10 ^ 70 + 3999600043848220527595940729254210259740922475828656053291367877830472) * 10 ^ 70 + 8211531328539027007855145707342266480898238874085614920865277628887098)