Recurrence 4 lookup certificate: A2 source coefficients, low half #
This is a checked coefficient-lookup shard for the fourth pseudo-division recurrence in the order-seven certificate.
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_23 :
Polynomial.coeff remainder4Coefficient2 23 = -12222722310470569412386330677039986054254267809425800840
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_24 :
Polynomial.coeff remainder4Coefficient2 24 = 411386922754061508530848991732466558940850015096336542133
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_25 :
Polynomial.coeff remainder4Coefficient2 25 = -12514518301451981747490897816687493764383777762293189923117
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_26 :
Polynomial.coeff remainder4Coefficient2 26 = 345503400883236698909120295379973368672444877929995688065553
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_27 :
Polynomial.coeff remainder4Coefficient2 27 = -8690079482694159383495186147314633248071379744405240828821265
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_28 :
Polynomial.coeff remainder4Coefficient2 28 = 199832944043783648616752415312412166562677580938084751418105106
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_29 :
Polynomial.coeff remainder4Coefficient2 29 = -4215153552850333486976018580773660803425722159412792138801825559
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_30 :
Polynomial.coeff remainder4Coefficient2 30 = 81808171928975585462345479061177475364132915418493790665125735006
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_31 :
Polynomial.coeff remainder4Coefficient2 31 = -1465085524130665393471410606242097795431139616663159740506711353520
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_32 :
Polynomial.coeff remainder4Coefficient2 32 = 24276060177275660450661533255735744866863772927207302588938780068632
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_33 :
Polynomial.coeff remainder4Coefficient2 33 = -373108474151595088797085509708516268664083886217018733844471627411652
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_34 :
Polynomial.coeff remainder4Coefficient2 34 = 5331621480563295178346664345243197107509598408829027718310413009700835
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_35 :
Polynomial.coeff remainder4Coefficient2 35 = -(7 * 10 ^ 70 + 992854974766708070542941634942146886423648861751204543620501823485323)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_36 :
Polynomial.coeff remainder4Coefficient2 36 = 88 * 10 ^ 70 + 2689541031152503618183255663115435205937769017174569346850481750998813
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_37 :
Polynomial.coeff remainder4Coefficient2 37 = -(1026 * 10 ^ 70 + 8180563947718613862446603906791906599770392394356660756324728573630997)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_38 :
Polynomial.coeff remainder4Coefficient2 38 = 11196 * 10 ^ 70 + 3511290058583513763857217873521774935641030703934743551893562298962248
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_39 :
Polynomial.coeff remainder4Coefficient2 39 = -(114634 * 10 ^ 70 + 9269490689930531085774163938506065921542460294169656178465224116085207)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_40 :
Polynomial.coeff remainder4Coefficient2 40 = 1103907 * 10 ^ 70 + 1527243014212589557762745413691673747548615002205470576236836806867653
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_41 :
Polynomial.coeff remainder4Coefficient2 41 = -(10013862 * 10 ^ 70 + 429250878292738793251966595484855992510161222125863263008059593927708)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_42 :
Polynomial.coeff remainder4Coefficient2 42 = 85697012 * 10 ^ 70 + 9898858237764491910478462042142181285313995551730326039936847361552707
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_43 :
Polynomial.coeff remainder4Coefficient2 43 = -(692838407 * 10 ^ 70 + 2108573058237082493081576601393362221927092791863611155719242716850858)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_44 :
Polynomial.coeff remainder4Coefficient2 44 = 5298773666 * 10 ^ 70 + 2964008295645781653987743253557955527605415918039609157178066771212689
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_45 :
Polynomial.coeff remainder4Coefficient2 45 = -(38383155575 * 10 ^ 70 + 8588257394069248908014392420750440878730775187456836094839513814671876)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_46 :
Polynomial.coeff remainder4Coefficient2 46 = 263660005580 * 10 ^ 70 + 2097803164475023877498218048342576236187708099368663392249242719952462
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_47 :
Polynomial.coeff remainder4Coefficient2 47 = -(1719395647171 * 10 ^ 70 + 2731370699530723262595222805039125853183824652363809323964862661291784)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_48 :
Polynomial.coeff remainder4Coefficient2 48 = 10656141591253 * 10 ^ 70 + 388736594233790307679285788639835123700399110820348711834784139946210
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_49 :
Polynomial.coeff remainder4Coefficient2 49 = -(62828644072256 * 10 ^ 70 + 4372221074878478319663331087712869600443498394183629209322141957220871)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_50 :
Polynomial.coeff remainder4Coefficient2 50 = 352750445912482 * 10 ^ 70 + 8133320043293001879892906443836767458358775472717950775576274049273412
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_51 :
Polynomial.coeff remainder4Coefficient2 51 = -(1887674865668027 * 10 ^ 70 + 3205647851608673811072682858565939327139301575123805574631489506014132)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_52 :
Polynomial.coeff remainder4Coefficient2 52 = 9636385934816933 * 10 ^ 70 + 1004485810552715227163237389300311685144067034040308815989435281077356
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_53 :
Polynomial.coeff remainder4Coefficient2 53 = -(46966405385741741 * 10 ^ 70 + 3368351807891529581108980668168416776785878007589101027058749348241794)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_54 :
Polynomial.coeff remainder4Coefficient2 54 = 218719506213624762 * 10 ^ 70 + 1427064741214456220758710836272029834510901805363754100951499846177369
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_55 :
Polynomial.coeff remainder4Coefficient2 55 = -(973954659731464715 * 10 ^ 70 + 8648378262686849800818103444677813569226336057558089742588288155163844)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_56 :
Polynomial.coeff remainder4Coefficient2 56 = 4150007509834221740 * 10 ^ 70 + 3680147496646869493094372101595165010823405888385624326657738585175024
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_57 :
Polynomial.coeff remainder4Coefficient2 57 = -(16932089581160756195 * 10 ^ 70 + 6785742371007369644483548852057274836126980165944762473991987035413858)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_58 :
Polynomial.coeff remainder4Coefficient2 58 = 66191442280922050599 * 10 ^ 70 + 8224800097474783918835593992977463016985735798888404218072789683943778
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_59 :
Polynomial.coeff remainder4Coefficient2 59 = -(248077277567451272603 * 10 ^ 70 + 3346179085935314668915769646020135962083482309196217859589315964566200)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_60 :
Polynomial.coeff remainder4Coefficient2 60 = 891901810636039035903 * 10 ^ 70 + 8487649127147390305761838732234926072901701483960436358593955270941114
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_61 :
Polynomial.coeff remainder4Coefficient2 61 = -(3077729878565279932698 * 10 ^ 70 + 7273893010823505062771513497221044900781778745877849746532495811320130)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_62 :
Polynomial.coeff remainder4Coefficient2 62 = 10198911517450411867818 * 10 ^ 70 + 8265611275741086766571688033292335826059259129676171535618569719932037
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_63 :
Polynomial.coeff remainder4Coefficient2 63 = -(32471474340401189655587 * 10 ^ 70 + 7155563488039607472355536975006636679594949551017189553984374588390709)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_64 :
Polynomial.coeff remainder4Coefficient2 64 = 99375439441874071090678 * 10 ^ 70 + 8461293322277674844128970662024087483488231093300220474004635214731074
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_65 :
Polynomial.coeff remainder4Coefficient2 65 = -(292468083468597291561124 * 10 ^ 70 + 3609126573313260397542941078657176225738049308901941379015695880819701)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_66 :
Polynomial.coeff remainder4Coefficient2 66 = 828101686947707215193765 * 10 ^ 70 + 5911106606954355052514843137822270941059516961744390602789408673771650
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_67 :
Polynomial.coeff remainder4Coefficient2 67 = -(2256671628369314291976269 * 10 ^ 70 + 7518287981461960451834270808873875619044106360371072603386115313764921)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_68 :
Polynomial.coeff remainder4Coefficient2 68 = 5921026740809069934994780 * 10 ^ 70 + 2423313928314391663721331837469721046736187553438976299543737136728616
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_69 :
Polynomial.coeff remainder4Coefficient2 69 = -(14963222798095145602913718 * 10 ^ 70 + 606635211617287637954181092775888903559699432864573765820471597929886)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_70 :
Polynomial.coeff remainder4Coefficient2 70 = 36433395279547574999232290 * 10 ^ 70 + 7106778035948051559467320724861525528262376576186578361319515661870036
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_71 :
Polynomial.coeff remainder4Coefficient2 71 = -(85498632699300719803348288 * 10 ^ 70 + 502365132423169332523310590882918208689262171156245731532508319439615)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_72 :
Polynomial.coeff remainder4Coefficient2 72 = 193434693770070372008240833 * 10 ^ 70 + 7223743874277185834401683657197060963104143382786898758820798983698851
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_73 :
Polynomial.coeff remainder4Coefficient2 73 = -(422034741013949425480939590 * 10 ^ 70 + 1148001564088970089038787852206353993115811085787084360170381512928960)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_74 :
Polynomial.coeff remainder4Coefficient2 74 = 888211074294128082329361588 * 10 ^ 70 + 373373889415502999932613975650630861745995507045417387700964281867362
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_75 :
Polynomial.coeff remainder4Coefficient2 75 = -(1803626641255156282950351649 * 10 ^ 70 + 7383993496191666320846231917583198181561309070525628661977132698390120)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_76 :
Polynomial.coeff remainder4Coefficient2 76 = 3534605514705894813177772723 * 10 ^ 70 + 3474278013192487099134756130163153669711824799115428733409238479196973
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_77 :
Polynomial.coeff remainder4Coefficient2 77 = -(6686421551978203422996160975 * 10 ^ 70 + 8224803949331496788189400204802888991817907542481725736055939187704901)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_78 :
Polynomial.coeff remainder4Coefficient2 78 = 12212179305057105926541068046 * 10 ^ 70 + 7956950583533818323380669662812983585593684234675443721969063703637986
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_79 :
Polynomial.coeff remainder4Coefficient2 79 = -(21538775393854985404213127596 * 10 ^ 70 + 1574061195061056555166692664129199622093659264106934117043743125237880)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_80 :
Polynomial.coeff remainder4Coefficient2 80 = 36690440903384647644763931966 * 10 ^ 70 + 2927974378790342185073919586757118861297427876283524256255084729818174
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_81 :
Polynomial.coeff remainder4Coefficient2 81 = -(60375211521786864465868451615 * 10 ^ 70 + 1200740790114727420822655729345957748755141536965846498325660566273595)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_82 :
Polynomial.coeff remainder4Coefficient2 82 = 95984733268740667568953764596 * 10 ^ 70 + 8450310900226297748472655474363391638912942693374688475488241118018005
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_83 :
Polynomial.coeff remainder4Coefficient2 83 = -(147448978675660617338157549656 * 10 ^ 70 + 6396784075936960116521968124698124445780037675371462894761876966470162)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_84 :
Polynomial.coeff remainder4Coefficient2 84 = 218892252433145884291542309621 * 10 ^ 70 + 2554568569882908791278909871983891823874436530448808342861587660505699
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_85 :
Polynomial.coeff remainder4Coefficient2 85 = -(314062187206594230587038850414 * 10 ^ 70 + 3014145178409502194934683165199900636416263404022746489263071046526215)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_86 :
Polynomial.coeff remainder4Coefficient2 86 = 435552036027729819824764840679 * 10 ^ 70 + 7307554567999191950821442201508489032820912197449449474447902954506351
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_87 :
Polynomial.coeff remainder4Coefficient2 87 = -(583903538059132727089209263241 * 10 ^ 70 + 7412519662542313947483600507328704891912320718414589915683415857935327)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_88 :
Polynomial.coeff remainder4Coefficient2 88 = 756748433199527775844580598249 * 10 ^ 70 + 3854960037548204726401879001103135132298619969125831139530899088068468
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_89 :
Polynomial.coeff remainder4Coefficient2 89 = -(948198698086687502385996383951 * 10 ^ 70 + 6077410535422110262749055797820823441908047011301749945288814607788429)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_90 :
Polynomial.coeff remainder4Coefficient2 90 = 1148703911544035274752762430256 * 10 ^ 70 + 5126901497616571146657109744611313294923879027151200572884000115715139
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_91 :
Polynomial.coeff remainder4Coefficient2 91 = -(1345540973618139205350386177161 * 10 ^ 70 + 8492342642518286104420303234204772726985976545847068312851787136043423)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_92 :
Polynomial.coeff remainder4Coefficient2 92 = 1523985366802048875101310630457 * 10 ^ 70 + 450159015511582268803776589428910216084561837992394568837912577020244
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4A2_coeff_93 :
Polynomial.coeff remainder4Coefficient2 93 = -(1669054940321917222182339972505 * 10 ^ 70 + 8212908934709544089911296039693967331634309604203488359676909752809639)