Documentation

MazurTorsion.Kubert.OrderSevenBacktrackingResultantRecurrence4LookupB0Low

Recurrence 4 lookup certificate: B0 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.recurrence4B0_coeff_30 :
Polynomial.coeff remainder5Coefficient0 30 = -(11326449 * 10 ^ 70 + 8714999495182556155513853879792303248713267764998032183764037381103072)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_31 :
Polynomial.coeff remainder5Coefficient0 31 = 231687424 * 10 ^ 70 + 7404541280923740754719677496834713464055526621117991213590491943731302
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_32 :
Polynomial.coeff remainder5Coefficient0 32 = -(3973938455 * 10 ^ 70 + 8883936936827253717741022225307913347502862539219693216828977300642560)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_33 :
Polynomial.coeff remainder5Coefficient0 33 = 59505147162 * 10 ^ 70 + 7005929429080188721404364714239765370856654625524764091032895166211547
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_34 :
Polynomial.coeff remainder5Coefficient0 34 = -(794474175631 * 10 ^ 70 + 4431221808749201154051520176448555079871063640247457266497528879041402)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_35 :
Polynomial.coeff remainder5Coefficient0 35 = 9582320454870 * 10 ^ 70 + 5926602439026853781148868883061758139389362358480933867852156822896436
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_36 :
Polynomial.coeff remainder5Coefficient0 36 = -(105351733438460 * 10 ^ 70 + 6876605402206019425184413646483721211520709104168654329502241657586890)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_37 :
Polynomial.coeff remainder5Coefficient0 37 = 1062940127362624 * 10 ^ 70 + 4749532907494087477248734158257704027784005424961040075868060769280471
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_38 :
Polynomial.coeff remainder5Coefficient0 38 = -(9893892705968742 * 10 ^ 70 + 910011074355011057314683901928848081195128183278597365061627204810745)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_39 :
Polynomial.coeff remainder5Coefficient0 39 = 85329079432408139 * 10 ^ 70 + 5246714028361672843581308608449037934242866570553203143935573016437015
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_40 :
Polynomial.coeff remainder5Coefficient0 40 = -(684359851738989164 * 10 ^ 70 + 4055636350113265734812957669343123737839048743429909754405787145966666)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_41 :
Polynomial.coeff remainder5Coefficient0 41 = 5120318652697546548 * 10 ^ 70 + 8135360967938154814143874952785069541271360156945336214463898549868583
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_42 :
Polynomial.coeff remainder5Coefficient0 42 = -(35837067586821021901 * 10 ^ 70 + 2449414159821985023501744803449135092362883806102763506866020870934047)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_43 :
Polynomial.coeff remainder5Coefficient0 43 = 235208635655594796314 * 10 ^ 70 + 995372543377698186930075944151705738193128538582218841618885795728980
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_44 :
Polynomial.coeff remainder5Coefficient0 44 = -(1450807765581795301238 * 10 ^ 70 + 1990968635986496744204014077081284485004598874375548540147043688991488)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_45 :
Polynomial.coeff remainder5Coefficient0 45 = 8426717830051821298372 * 10 ^ 70 + 4823519948504416295743268906798714047156214305440942000800673860103762
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_46 :
Polynomial.coeff remainder5Coefficient0 46 = -(46171504189600759183412 * 10 ^ 70 + 1537907360524331429008757371321057077570964137531730280228498096717354)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_47 :
Polynomial.coeff remainder5Coefficient0 47 = 239034558744841404434241 * 10 ^ 70 + 4394903167035330091431640800311814446445989887616078499314700805292382
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_48 :
Polynomial.coeff remainder5Coefficient0 48 = -(1171007820132776185988031 * 10 ^ 70 + 7046548327444828128742021358598201755468672784835371918018137485693917)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_49 :
Polynomial.coeff remainder5Coefficient0 49 = 5435712887280180991037964 * 10 ^ 70 + 7157359685329614465626902469018382704599097729708638117375685811357788
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_50 :
Polynomial.coeff remainder5Coefficient0 50 = -(23937863875881329174746485 * 10 ^ 70 + 7556473673475092394677659152956535842338698483317092340958289901227230)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_51 :
Polynomial.coeff remainder5Coefficient0 51 = 100123281544262259505981396 * 10 ^ 70 + 8236332114746982416332770559689156771755981372690973775919450035097727
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_52 :
Polynomial.coeff remainder5Coefficient0 52 = -(398155141402022928237601435 * 10 ^ 70 + 6920440533596595012539365120557430487271887852095979268091246922934109)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_53 :
Polynomial.coeff remainder5Coefficient0 53 = 1506765451223968972262942646 * 10 ^ 70 + 1451227728505681878019872182607369524742199704166268925971086976384040
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_54 :
Polynomial.coeff remainder5Coefficient0 54 = -(5431108575438797143759885055 * 10 ^ 70 + 7665708507346268702578261202533478262930015915656189209274882040910068)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_55 :
Polynomial.coeff remainder5Coefficient0 55 = 18660448535995011753694541582 * 10 ^ 70 + 9853877297720489641463655677681339984352922324903215478602958538715211
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_56 :
Polynomial.coeff remainder5Coefficient0 56 = -(61158686041306839404091406377 * 10 ^ 70 + 2088162296226133127611704325252144974150259434942515615179101544564573)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_57 :
Polynomial.coeff remainder5Coefficient0 57 = 191329205793070466164989489039 * 10 ^ 70 + 6110472704748055000747334535575154979395187526071955624118758991633955
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_58 :
Polynomial.coeff remainder5Coefficient0 58 = -(571677521334184191012689678804 * 10 ^ 70 + 9250410680547903706395400509991507546235707173281922332795334225285294)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_59 :
Polynomial.coeff remainder5Coefficient0 59 = 1632316976399195611587173073528 * 10 ^ 70 + 1870524784866876222188686450937614827450004948767598673224838836175651
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_60 :
Polynomial.coeff remainder5Coefficient0 60 = -(4456123933955960731809436413387 * 10 ^ 70 + 7384023557985226534905262530789622839281072616492225232195603228842131)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_61 :
Polynomial.coeff remainder5Coefficient0 61 = 11636062687267213896627407406533 * 10 ^ 70 + 5757436555693248046523831693456188969647694620069399853040469394129594
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_62 :
Polynomial.coeff remainder5Coefficient0 62 = -(29075684806921527817763431638831 * 10 ^ 70 + 5105922683526793073933332415764717528187606223666847855925365036563421)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_63 :
Polynomial.coeff remainder5Coefficient0 63 = 69549178636088182871034694361742 * 10 ^ 70 + 1696479838373984598028512647266279435604589961722051285943410821810206
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_64 :
Polynomial.coeff remainder5Coefficient0 64 = -(159309125789417493428163940784944 * 10 ^ 70 + 7205991083419461212179413582964036644734131101707474092641341443121857)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_65 :
Polynomial.coeff remainder5Coefficient0 65 = 349551442116073380694987905484751 * 10 ^ 70 + 4762747922977764434004797794653711833758649082659921185397910671631189
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_66 :
Polynomial.coeff remainder5Coefficient0 66 = -(734897197142545534039006166595572 * 10 ^ 70 + 7297789376458434716590175405229677479337751491295152176201521668430134)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_67 :
Polynomial.coeff remainder5Coefficient0 67 = 1480811244380893341196991283636431 * 10 ^ 70 + 9573019480663410545928739569337870706768003416793653569772332565440367
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_68 :
Polynomial.coeff remainder5Coefficient0 68 = -(2860444776487941119332018778494857 * 10 ^ 70 + 1515451027288870268655322317190352948297806619183709976953334662988135)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_69 :
Polynomial.coeff remainder5Coefficient0 69 = 5298136340065355922206131007550661 * 10 ^ 70 + 6079040861684780246967180871471795521090464818133849612153000008391215
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_70 :
Polynomial.coeff remainder5Coefficient0 70 = -(9411447826555658618025003315947917 * 10 ^ 70 + 2770448195139388982143683242981935381452740027188165557956119295322222)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_71 :
Polynomial.coeff remainder5Coefficient0 71 = 16036736550276335274554057653397162 * 10 ^ 70 + 2620841655701793052303117716290990196501875413380403771295736645631298
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_72 :
Polynomial.coeff remainder5Coefficient0 72 = -(26216830646887135752800176957696623 * 10 ^ 70 + 4183299183213561726796853007361683377452384820971925555130963560507579)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_73 :
Polynomial.coeff remainder5Coefficient0 73 = 41126794497004408367551300142090161 * 10 ^ 70 + 1167099546730892418935027948040240114769885793896055258239594308535512
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_74 :
Polynomial.coeff remainder5Coefficient0 74 = -(61919152039956767651397917379434832 * 10 ^ 70 + 6796057013962313078721166176959815558521680842725668233761257861622960)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_75 :
Polynomial.coeff remainder5Coefficient0 75 = 89486310243001259935457437560569698 * 10 ^ 70 + 7612857108252901539798226547855367342171911980562494905877926301476561
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_76 :
Polynomial.coeff remainder5Coefficient0 76 = -(124164856438049782603024935910088518 * 10 ^ 70 + 7082866496188776513635281914185184899482005316140924152326491972920466)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_77 :
Polynomial.coeff remainder5Coefficient0 77 = 165438087338405025268063752741835370 * 10 ^ 70 + 3575587088970557143090312595229950392524459740461728854517786663210807
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_78 :
Polynomial.coeff remainder5Coefficient0 78 = -(211718470892814818149351123099125982 * 10 ^ 70 + 2283028350335698018097981095338374505423186859138490990217001370359556)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_79 :
Polynomial.coeff remainder5Coefficient0 79 = 260297462351817494862697006271819896 * 10 ^ 70 + 2517623694194833343259771956122989021675077360716008329749151835304143
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_80 :
Polynomial.coeff remainder5Coefficient0 80 = -(307526461409996066913756217047807698 * 10 ^ 70 + 4674254522717532200451165358834291349018790024487901267676213429203588)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_81 :
Polynomial.coeff remainder5Coefficient0 81 = 349239665380013329937954137094088623 * 10 ^ 70 + 2153412932869011989103931606436024022167691774754309554283001751461191
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_82 :
Polynomial.coeff remainder5Coefficient0 82 = -(381359926020766459983986293433501353 * 10 ^ 70 + 6741729606880763146845237922564643233148420610041927320355752144134513)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_83 :
Polynomial.coeff remainder5Coefficient0 83 = 400565442267181068985388715955408179 * 10 ^ 70 + 6076442350875644654576171949281150250608338654174122507197679536491805
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_84 :
Polynomial.coeff remainder5Coefficient0 84 = -(404862933058487126089385281268509210 * 10 ^ 70 + 396203678983565364388919311358989611632729853202522127176132739688346)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_85 :
Polynomial.coeff remainder5Coefficient0 85 = 393927286528283979441148634009500441 * 10 ^ 70 + 8427976985601367575651235380823240782739109063166891311688142130194069
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_86 :
Polynomial.coeff remainder5Coefficient0 86 = -(369126738800481839759908256992710194 * 10 ^ 70 + 5621769250933224382290814418722678270430104546972132621553143295302900)
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_87 :
Polynomial.coeff remainder5Coefficient0 87 = 333236826929963856231256738191043055 * 10 ^ 70 + 1424431443627908077517731394037363989415597489885590615852578495449821
theorem MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B0_coeff_88 :
Polynomial.coeff remainder5Coefficient0 88 = -(289926340930413391493594466822976939 * 10 ^ 70 + 5020980558870460893368627812229004713684663731465865614623594148701096)