Documentation

MazurTorsion.Kubert.OrderSevenBacktrackingResultantRecurrence5LookupC0Low

Recurrence 5 lookup certificate: C0 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.recurrence5C0_coeff_0 :
Polynomial.coeff remainder7Coefficient0 0 = -((5 * 10 ^ 70 + 4008327283555638291083160230361784252244639539585487364791688780931366) * 10 ^ 70 + 1824061586378550580354613962901225431925937541092542804380693406304800)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_1 :
Polynomial.coeff remainder7Coefficient0 1 = (10920 * 10 ^ 70 + 4837767349500624570149985791527758038661149041855451608794715043222420) * 10 ^ 70 + 8252527657429273477029432986277823354245708089121550457762067548305600
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_2 :
Polynomial.coeff remainder7Coefficient0 2 = (37056606 * 10 ^ 70 + 6794969137449109046834315896787996217523928724197092141627918030900238) * 10 ^ 70 + 897171869201048474450226049877275784991166048268941348722384076077200
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_3 :
Polynomial.coeff remainder7Coefficient0 3 = -((29685144736 * 10 ^ 70 + 7251553071227876430162800611750701727456853898673457232417806597762217) * 10 ^ 70 + 3603195517566980673142876375691316186877673573426796307185967142168800)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_4 :
Polynomial.coeff remainder7Coefficient0 4 = -((2257044609597 * 10 ^ 70 + 6822938589408338326052388920057926076042485032028260082797902348687943) * 10 ^ 70 + 9460318488691017595824262221891538174794705613324040955559449240953600)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_5 :
Polynomial.coeff remainder7Coefficient0 5 = (6403982672627040 * 10 ^ 70 + 1460576182840752297080663960899007766988919182482244098163652352445372) * 10 ^ 70 + 1605715954123305359662001455050950442721130752305754386772777260770700
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_6 :
Polynomial.coeff remainder7Coefficient0 6 = -((2148589780138594739 * 10 ^ 70 + 6872462937416043360507949971335105054337461569346229800869312469890778) * 10 ^ 70 + 8585889542620772869502500298078217784697127640322884216129423565217100)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_7 :
Polynomial.coeff remainder7Coefficient0 7 = (367473321843981797135 * 10 ^ 70 + 6933807801686854761951250082254100927936474771832506742769343937478409) * 10 ^ 70 + 5130289349575617676731374194958115929690551354971829414236359362533900
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_8 :
Polynomial.coeff remainder7Coefficient0 8 = -((39288663244435738485404 * 10 ^ 70 + 790337944814174563426874527340961431444163042210722043051601199721406) * 10 ^ 70 + 5213095192362212429178742388950243088235483622763970402445023016841300)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_9 :
Polynomial.coeff remainder7Coefficient0 9 = (2875371859269618031392391 * 10 ^ 70 + 1560899388239389177619046526803421863540392627422182653210108463817618) * 10 ^ 70 + 5032173299415443992850556472154471857999324830585856791018364208544200
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_10 :
Polynomial.coeff remainder7Coefficient0 10 = -((152076381681672063304423058 * 10 ^ 70 + 3481245391746150032946546650566153464132412558845018396763834181510382) * 10 ^ 70 + 6701781520259217800220380220284810888421427135341362280514467270913200)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_11 :
Polynomial.coeff remainder7Coefficient0 11 = (6033194367033882086910056300 * 10 ^ 70 + 6147302294718194591814530963510050808391674382909270673515564767458723) * 10 ^ 70 + 7705964232006953413551753675904093541084624010751688053867513619561300
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_12 :
Polynomial.coeff remainder7Coefficient0 12 = -((184593696910905237419974990341 * 10 ^ 70 + 2930478154602564996682853824868843010513565410294636618180203609493725) * 10 ^ 70 + 8870995617478605830200074324677611350765232476593425229218482491089100)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_13 :
Polynomial.coeff remainder7Coefficient0 13 = (4452576208596100421272364907210 * 10 ^ 70 + 5111413409605698555397954031768527755566063709355451579853871161714759) * 10 ^ 70 + 7402637081301277312747675638364189313317704838188258840707476193001900
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_14 :
Polynomial.coeff remainder7Coefficient0 14 = -((86224014285193444917747214635760 * 10 ^ 70 + 492340925023529217926645810394801883839008115756858989750781891605586) * 10 ^ 70 + 4562905819878994101054730596142025736687622540985589573730406940008200)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_15 :
Polynomial.coeff remainder7Coefficient0 15 = (1361599297502749867498620067801065 * 10 ^ 70 + 7788834490917529914767648721697990847551767572333408053086095733856060) * 10 ^ 70 + 9136094081025004910953962604967580094646739044261813255279406799977600
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_16 :
Polynomial.coeff remainder7Coefficient0 16 = -((17777294562045989311122708657449169 * 10 ^ 70 + 3240640625946109074342108318731113546255630049661103412699236088065447) * 10 ^ 70 + 4232656382533766865302853797560463526062703008976428511003486551759900)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_17 :
Polynomial.coeff remainder7Coefficient0 17 = (194301724588211868572972786537566964 * 10 ^ 70 + 963102958214510439199395011233202165520569842404976389082316044449135) * 10 ^ 70 + 7769208009458679257115913293612940909736642465500061144015737217772500
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_18 :
Polynomial.coeff remainder7Coefficient0 18 = -((1798080121709546127662088738744036411 * 10 ^ 70 + 3376495752024373433930007637453646659595459870609649084588485130374364) * 10 ^ 70 + 6553123387362650462273874688361331993444531945901555147782080780101400)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_19 :
Polynomial.coeff remainder7Coefficient0 19 = (14235940781240338753253745476909138053 * 10 ^ 70 + 6876861938317086141361877050238546972230178789768155714115951559868673) * 10 ^ 70 + 1061304986576464520822036350986423174162819200086897214025886043994800
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_20 :
Polynomial.coeff remainder7Coefficient0 20 = -((97357120273167762252495615253941194289 * 10 ^ 70 + 3622054930003776938582725646106316751735065058653383694691017667942792) * 10 ^ 70 + 7934999437870788909029690663242394113335904292040541525928518708542800)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_21 :
Polynomial.coeff remainder7Coefficient0 21 = (580194230130158183913998702912652427369 * 10 ^ 70 + 9692354332791985766106240272032395358632483064322895024240817723133905) * 10 ^ 70 + 5168452314289598707096439238933028200414595810962461041928692729883200
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_22 :
Polynomial.coeff remainder7Coefficient0 22 = -((3037378736139365251490167874204992005105 * 10 ^ 70 + 5030212669305669249926251508961153665697482815631951581042850842919220) * 10 ^ 70 + 3320172512858878821323217899151053198876474290079721563974652012182600)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_23 :
Polynomial.coeff remainder7Coefficient0 23 = (14071109497484721573050971901511522160324 * 10 ^ 70 + 1869337458036686184868061814274334003110671441061959487526452365466997) * 10 ^ 70 + 6468902601568721054310260947602091589021211971832675405834612815415500
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_24 :
Polynomial.coeff remainder7Coefficient0 24 = -((58068957256032402917674879616182812609784 * 10 ^ 70 + 164676513051435681501053151291217921783941914203283834285481655353220) * 10 ^ 70 + 6527873210537272779727913568302739593731003990969900729698429238791600)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_25 :
Polynomial.coeff remainder7Coefficient0 25 = (214750958558953640255382111941225572657311 * 10 ^ 70 + 9344724538726288560440360493702223604567196492747618351843925214647158) * 10 ^ 70 + 1786774591135213942029325102094485111190783169672815749608433058001700
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_26 :
Polynomial.coeff remainder7Coefficient0 26 = -((715490041971486516534268012273846984394807 * 10 ^ 70 + 2728780116391759791458121495701526396956353158284219160582316373371695) * 10 ^ 70 + 3558372208738266402358172899230627998320105122313124196485552527882200)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_27 :
Polynomial.coeff remainder7Coefficient0 27 = (2157590469891245850024113461316626271355194 * 10 ^ 70 + 1030828701419723083427229031286829185256351585254465012773504476542731) * 10 ^ 70 + 2774871527701927030409612720661410148382786934564985703129641740385200
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_28 :
Polynomial.coeff remainder7Coefficient0 28 = -((5912521435475214592937223600082828360557451 * 10 ^ 70 + 8534956915164498765118227003169406685165356981548823855939120288776199) * 10 ^ 70 + 5430820756080774328634229938203703238009251676142333705368266628625500)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_29 :
Polynomial.coeff remainder7Coefficient0 29 = (14773508102568993204939607722016805997446475 * 10 ^ 70 + 126146117479724556803028924753195582633615679300819985521090537575444) * 10 ^ 70 + 713013263601157051303336411394124478971021398239719651662467272051700
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_30 :
Polynomial.coeff remainder7Coefficient0 30 = -((33752609807337603107917979018166065367745434 * 10 ^ 70 + 247672806195138930344238524237311740475372750334349254267283184656996) * 10 ^ 70 + 815052381306851169202218206314648928189563480184959482542810420578900)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_31 :
Polynomial.coeff remainder7Coefficient0 31 = (70664346412568966891297133543231525291424840 * 10 ^ 70 + 6906464440617304417194031803181644688858316475602132716940325988599339) * 10 ^ 70 + 5837149935596705560392458308908650770534536979646329483712066211672200
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_32 :
Polynomial.coeff remainder7Coefficient0 32 = -((135796739869714121949272918154043049582071782 * 10 ^ 70 + 7743813477926995317165574744684951708774975735403789668138666157974739) * 10 ^ 70 + 2160450878072140135444575870994831910356029585309763535229729371031100)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_33 :
Polynomial.coeff remainder7Coefficient0 33 = (239825547876705949062304134473956538805591761 * 10 ^ 70 + 5468288602300472479425680699863051617846894004714250043569425374068691) * 10 ^ 70 + 8869352575602627098908771450997234122519446981612181528631653306795300
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_34 :
Polynomial.coeff remainder7Coefficient0 34 = -((389547819470644194018491354853093349634320674 * 10 ^ 70 + 6217243562688509839867880147547812487846950603179420310615301449805313) * 10 ^ 70 + 4431146100138067904471047025437350012132347747573170709490533299953800)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_35 :
Polynomial.coeff remainder7Coefficient0 35 = (582204022202223191262989097577145350794130463 * 10 ^ 70 + 4384132372013133859938253329552972469177649827265083839732813512137063) * 10 ^ 70 + 6650900292038571468684938003389167590736762718458820987273062032549800
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_36 :
Polynomial.coeff remainder7Coefficient0 36 = -((800756060549276848275832634883329323730479909 * 10 ^ 70 + 7295373788196229465216950259100335595471306240774447574182592169738074) * 10 ^ 70 + 733370982925477231791048360676542881574606545208815640860699512787600)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_37 :
Polynomial.coeff remainder7Coefficient0 37 = (1013415596897760899264844190597686412932434264 * 10 ^ 70 + 9601227272099781236599588289804704163095470477631998482262783828790233) * 10 ^ 70 + 4852759539359179407701181802235396577262241133468924665505178723154200
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_38 :
Polynomial.coeff remainder7Coefficient0 38 = -((1179749803922032062339197024297899895708295023 * 10 ^ 70 + 6735073676543863819970554704279834477191992842015132894376050699992172) * 10 ^ 70 + 2673241884351121994946158545244524494713277067670186906413653507338300)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_39 :
Polynomial.coeff remainder7Coefficient0 39 = (1262587205134630151154432367289975166974966370 * 10 ^ 70 + 5588747567901892974628733782718715615135436509685597478634020840186572) * 10 ^ 70 + 9908442613227989925152587192808135321720401897648393280291871810928800
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_40 :
Polynomial.coeff remainder7Coefficient0 40 = -((1241208416436289093195405228030175578369294424 * 10 ^ 70 + 2359883239535049665883801119922660034830060886314149001329118877541835) * 10 ^ 70 + 5224733785862976429810529134112993161205960753055638355674139162242800)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_41 :
Polynomial.coeff remainder7Coefficient0 41 = (1119539640858086558654466444403427626054808438 * 10 ^ 70 + 8873168411829173072338777915224398515913570290511367322106593705199279) * 10 ^ 70 + 6382040275932912925179318703877394636035522058754717459715159195469700
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_42 :
Polynomial.coeff remainder7Coefficient0 42 = -((925001175949113305317030818529578882139424406 * 10 ^ 70 + 4241309370964925512438112509221160040781737582459858675717314666051955) * 10 ^ 70 + 7483482058823501701280333905763509886524165084445689759986649889020800)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_43 :
Polynomial.coeff remainder7Coefficient0 43 = (698459855055079965625911903353135363528610121 * 10 ^ 70 + 7099059987328580645110326490939427432955957096059584986388650056256978) * 10 ^ 70 + 4525684424469563864180492084744468341164616987846950299982256228804600
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence5C0_coeff_44 :
Polynomial.coeff remainder7Coefficient0 44 = -((480322080330864609751306142701685449939643225 * 10 ^ 70 + 8181914697863458943310154041712343833464060019041662742681364664710250) * 10 ^ 70 + 3604523819536680419567109824816377133417434714908847737835863845590300)