Documentation

MazurTorsion.Kubert.OrderSevenBacktrackingResultantRecurrence2LookupC4High

Recurrence 2 lookup certificate: C4 source coefficients, high half #

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

theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_90 :
Polynomial.coeff remainder4Coefficient4 90 = 6210420738552904494225994994 * 10 ^ 70 + 686289484120249041336375928705806317762389016918791591075768597445252
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_91 :
Polynomial.coeff remainder4Coefficient4 91 = -(6581994871993202286249679846 * 10 ^ 70 + 9479778532291202471128205707467871911106490057203564089293008850216717)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_92 :
Polynomial.coeff remainder4Coefficient4 92 = 6735266917308732707472504411 * 10 ^ 70 + 8189695046460205389778759885755358408467579406097326053985494402097542
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_93 :
Polynomial.coeff remainder4Coefficient4 93 = -(6654132170779652911378936589 * 10 ^ 70 + 3269654396591840065680149808340965511387782098109881478937017950746100)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_94 :
Polynomial.coeff remainder4Coefficient4 94 = 6346585665206735929615808504 * 10 ^ 70 + 8215724337587306860125243558213916606130127114516718325137033758265934
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_95 :
Polynomial.coeff remainder4Coefficient4 95 = -(5843431133120115195221730980 * 10 ^ 70 + 8538256518778490297912786247634886104338508703755948921392211217016678)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_96 :
Polynomial.coeff remainder4Coefficient4 96 = 5193209928108119021555096413 * 10 ^ 70 + 2391738047325528662554319116703631201279933714794839550176899184663721
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_97 :
Polynomial.coeff remainder4Coefficient4 97 = -(4454502695544242401241266584 * 10 ^ 70 + 564382533206960669975216378414681604851816187422209504469444923325602)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_98 :
Polynomial.coeff remainder4Coefficient4 98 = 3687290035255789466748041298 * 10 ^ 70 + 3495260736797743326459227355337035101247642209753988092065343827977189
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_99 :
Polynomial.coeff remainder4Coefficient4 99 = -(2945123269492600016689978494 * 10 ^ 70 + 4899468868784200092993764679169534891293083068131905070795139713280425)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_100 :
Polynomial.coeff remainder4Coefficient4 100 = 2269473587641257466327857326 * 10 ^ 70 + 2601923942060886116267164754225409439668608839258438579272789447599544
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_101 :
Polynomial.coeff remainder4Coefficient4 101 = -(1686955297106901174483989548 * 10 ^ 70 + 87536785074755614294509298308344688957807427793810184645953840367182)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_102 :
Polynomial.coeff remainder4Coefficient4 102 = 1209383289691897792690081485 * 10 ^ 70 + 4480655959580371032030685208361240420977265888012754723399525824646434
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_103 :
Polynomial.coeff remainder4Coefficient4 103 = -(836036458962234012804703235 * 10 ^ 70 + 310480721415116591340449013261227441068363155607628376259832097609075)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_104 :
Polynomial.coeff remainder4Coefficient4 104 = 557185593979977413220940120 * 10 ^ 70 + 2199648167527154417929965386722848731819689564127511489736752827311937
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_105 :
Polynomial.coeff remainder4Coefficient4 105 = -(357926588004230691439407809 * 10 ^ 70 + 5102251189048938203875141211786131836178731843755126286417998195817138)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_106 :
Polynomial.coeff remainder4Coefficient4 106 = 221567849700912147005751175 * 10 ^ 70 + 1984069583252799643273235169417592697827462240875969365795342137446337
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_107 :
Polynomial.coeff remainder4Coefficient4 107 = -(132138865098665292845378265 * 10 ^ 70 + 2759911432590871680366802617536859832974150205176506551808493946581874)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_108 :
Polynomial.coeff remainder4Coefficient4 108 = 75901560007842297404270428 * 10 ^ 70 + 90939334313878442323577850035240047946698365671645680461664502202999
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_109 :
Polynomial.coeff remainder4Coefficient4 109 = -(41980279921955775914085615 * 10 ^ 70 + 2193527005953105376843810320195165314296140637481900552245630331728656)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_110 :
Polynomial.coeff remainder4Coefficient4 110 = 22350441650431528431228845 * 10 ^ 70 + 3395739653126256680851182254319018315428678578260951400105073250327199
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_111 :
Polynomial.coeff remainder4Coefficient4 111 = -(11450899387002501470401585 * 10 ^ 70 + 9413250820759960266371341799071682523182753816953183431388369982489086)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_112 :
Polynomial.coeff remainder4Coefficient4 112 = 5643784134951827112283683 * 10 ^ 70 + 9629698119366801527094024816754112975316201427577378659062305797100309
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_113 :
Polynomial.coeff remainder4Coefficient4 113 = -(2675142847488356287627834 * 10 ^ 70 + 9721298906954658224713415926411352559287034989952976971087647710921845)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_114 :
Polynomial.coeff remainder4Coefficient4 114 = 1219134407349354642814059 * 10 ^ 70 + 6880990181180089038528244742070850527962578053008338554443138586490933
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_115 :
Polynomial.coeff remainder4Coefficient4 115 = -(534066697096263445114891 * 10 ^ 70 + 4048019190472597622560570642069584086164824469417179248629004686878098)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_116 :
Polynomial.coeff remainder4Coefficient4 116 = 224874696649380389252977 * 10 ^ 70 + 4617888509302421960210705452999369077409440661405116965223592868793315
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_117 :
Polynomial.coeff remainder4Coefficient4 117 = -(91017873647578202937535 * 10 ^ 70 + 6207263838153553588830314160649045020038547163728918115795927879520818)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_118 :
Polynomial.coeff remainder4Coefficient4 118 = 35424245168842571119710 * 10 ^ 70 + 4647030894731091489536568015106624902165430761226738818778561029115072
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_119 :
Polynomial.coeff remainder4Coefficient4 119 = -(13265896892185361456985 * 10 ^ 70 + 9768696282944525561174370778026751507896666546756943297186061988034724)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_120 :
Polynomial.coeff remainder4Coefficient4 120 = 4784394203273554029143 * 10 ^ 70 + 1419858300881266057247987170370984389640023870148766648224570620345439
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_121 :
Polynomial.coeff remainder4Coefficient4 121 = -(1663427202525079230938 * 10 ^ 70 + 1202325793316517410852716118726642460695811906999767498578805217727246)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_122 :
Polynomial.coeff remainder4Coefficient4 122 = 557860212949992930891 * 10 ^ 70 + 4087950975495947997104490417024268929857874284414583646778010187528439
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_123 :
Polynomial.coeff remainder4Coefficient4 123 = -(180301329830428494187 * 10 ^ 70 + 2038929741657565978703813599435324811576961230444056221302086149512139)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_124 :
Polynomial.coeff remainder4Coefficient4 124 = 55890950950301215424 * 10 ^ 70 + 220729973597370949265169863859927558836246710020035751157977507827761
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_125 :
Polynomial.coeff remainder4Coefficient4 125 = -(16378512205863762538 * 10 ^ 70 + 9089135477919797431962329773517885340258827396104957518949509560136417)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_126 :
Polynomial.coeff remainder4Coefficient4 126 = 4353344837498179262 * 10 ^ 70 + 6112850267318820084096592260922119883191126135083800023163045208605087
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_127 :
Polynomial.coeff remainder4Coefficient4 127 = -(907588927164474076 * 10 ^ 70 + 6398630736756589004642729865915085452837603574743263806014364353106016)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_128 :
Polynomial.coeff remainder4Coefficient4 128 = 25519060589270721 * 10 ^ 70 + 5774412122592332342012434451836128891876566291782254376017445027952399
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_129 :
Polynomial.coeff remainder4Coefficient4 129 = 138158260300660659 * 10 ^ 70 + 6592689715527343596432001432110834316124330707404513402089855716671960
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_130 :
Polynomial.coeff remainder4Coefficient4 130 = -(124955248840235861 * 10 ^ 70 + 9067539719307382659869977022674061726665387033969667336314649990791786)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_131 :
Polynomial.coeff remainder4Coefficient4 131 = 83499258298824992 * 10 ^ 70 + 7417144175463553005553660265708019106153948807175617973980498971328733
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_132 :
Polynomial.coeff remainder4Coefficient4 132 = -(49123395817065368 * 10 ^ 70 + 9128621576264693540916615084672051870689377535241762969316670834679603)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_133 :
Polynomial.coeff remainder4Coefficient4 133 = 26540293971453107 * 10 ^ 70 + 4369408629416436195321508381914986370299131039760769808350988693589865
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_134 :
Polynomial.coeff remainder4Coefficient4 134 = -(13317460590976925 * 10 ^ 70 + 6805638583704068273821313315646740678131722141705465053112975339491586)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_135 :
Polynomial.coeff remainder4Coefficient4 135 = 6212553598504407 * 10 ^ 70 + 4238916863489848457710735003575081389058303720837271317856121940453176
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_136 :
Polynomial.coeff remainder4Coefficient4 136 = -(2685335082901387 * 10 ^ 70 + 5686229228979889657283283870165894931486525236511650187814627936884257)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_137 :
Polynomial.coeff remainder4Coefficient4 137 = 1068807201464699 * 10 ^ 70 + 8655420831241993695517516253347367474681547032008599355949270014132500
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_138 :
Polynomial.coeff remainder4Coefficient4 138 = -(387957355983257 * 10 ^ 70 + 5508028655406617722108153200363505861119417594993213051838142236818847)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_139 :
Polynomial.coeff remainder4Coefficient4 139 = 126455964093411 * 10 ^ 70 + 1884152309099598738598442191697892728467857522445832727804603026593886
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_140 :
Polynomial.coeff remainder4Coefficient4 140 = -(36002488192354 * 10 ^ 70 + 3842213115730975629648308174133851804186399480063538097260249536642325)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_141 :
Polynomial.coeff remainder4Coefficient4 141 = 8428313489602 * 10 ^ 70 + 7013315514375359597905245095794130126753475765787971858380601307648885
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_142 :
Polynomial.coeff remainder4Coefficient4 142 = -(1336401855253 * 10 ^ 70 + 6870106112488135192565731441381999351929648986298365038924702054279607)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_143 :
Polynomial.coeff remainder4Coefficient4 143 = -(32734369917 * 10 ^ 70 + 464699761577302195337859688747287944340462394824154300059207815927899)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_144 :
Polynomial.coeff remainder4Coefficient4 144 = 132016461434 * 10 ^ 70 + 8386054945744650273411942337121270898397010916003411711181767723643938
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_145 :
Polynomial.coeff remainder4Coefficient4 145 = -(64885929403 * 10 ^ 70 + 1554303075994940072301282245381788888328688285925895513176919200506617)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_146 :
Polynomial.coeff remainder4Coefficient4 146 = 22083875493 * 10 ^ 70 + 4821328039472574611241147356114157598311043155632389385373058272559210
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_147 :
Polynomial.coeff remainder4Coefficient4 147 = -(5980929851 * 10 ^ 70 + 7875523413435358484867096141946328509644746511162971903616631684174536)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_148 :
Polynomial.coeff remainder4Coefficient4 148 = 1326869935 * 10 ^ 70 + 8787120083745940782141519398626870522869114268170496163073085797698098
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_149 :
Polynomial.coeff remainder4Coefficient4 149 = -(237975880 * 10 ^ 70 + 6351378093643712567944979390393126207060485801086902854493514851917653)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_150 :
Polynomial.coeff remainder4Coefficient4 150 = 32349513 * 10 ^ 70 + 6230844301152310059355271687388990380724381784426088649625088068668506
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_151 :
Polynomial.coeff remainder4Coefficient4 151 = -(2587275 * 10 ^ 70 + 9314091325945026746045196141902077915564978069299674746520061572358274)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_152 :
Polynomial.coeff remainder4Coefficient4 152 = -(128469 * 10 ^ 70 + 873474399391019722153023448905064209907681060632575395376874198328604)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence2C4_coeff_154 :
Polynomial.coeff remainder4Coefficient4 154 = -(17339 * 10 ^ 70 + 5091353026135608808498531891181617944919444523197138612866070863771009)