Recurrence 4 lookup certificate: B2 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.recurrence4B2_coeff_15 :
Polynomial.coeff remainder5Coefficient2 15 = -146240481794592037497312872183826122870456310226440638140
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_16 :
Polynomial.coeff remainder5Coefficient2 16 = 15248292486417181916145038731119252740424528550185793254729
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_17 :
Polynomial.coeff remainder5Coefficient2 17 = -1153050847284561192427896846738382619079941644461776748115589
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_18 :
Polynomial.coeff remainder5Coefficient2 18 = 68258184381873605073543443106253861453016797280312861122182652
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_19 :
Polynomial.coeff remainder5Coefficient2 19 = -3277715656710412524663169147642284477795866187021559136508094854
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_20 :
Polynomial.coeff remainder5Coefficient2 20 = 130211125860514281835901566322519233337728016826811275053504616878
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_21 :
Polynomial.coeff remainder5Coefficient2 21 = -4326368135038741439595326005605585911596955320739625826782538095391
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_22 :
Polynomial.coeff remainder5Coefficient2 22 = 120686240136790556720623182219609045480772587261215924304388667361148
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_23 :
Polynomial.coeff remainder5Coefficient2 23 = -2812648938529590556619802321001536768531044382413144410826830335438135
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_24 :
Polynomial.coeff remainder5Coefficient2 24 = 5 * 10 ^ 70 + 3625878708580417242433943240748179601805795298718588737548856443678977
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_25 :
Polynomial.coeff remainder5Coefficient2 25 = -(78 * 10 ^ 70 + 4340088970730194866367079113948863730391169245469734222202437532827026)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_26 :
Polynomial.coeff remainder5Coefficient2 26 = 671 * 10 ^ 70 + 6100482695014821088497135835834770897053125034460347332106138331046799
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_27 :
Polynomial.coeff remainder5Coefficient2 27 = 5360 * 10 ^ 70 + 6800094290567322647116682415528722482981029148268669662047019653765462
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_28 :
Polynomial.coeff remainder5Coefficient2 28 = -(393731 * 10 ^ 70 + 3707336141988997742466959905434240134898271575363261548613531158212504)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_29 :
Polynomial.coeff remainder5Coefficient2 29 = 10708598 * 10 ^ 70 + 4797650928247110118159056941613982537926038607106183398538199938682691
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_30 :
Polynomial.coeff remainder5Coefficient2 30 = -(215494668 * 10 ^ 70 + 5506587377961901764180554649198091883272998655642802608400637721491036)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_31 :
Polynomial.coeff remainder5Coefficient2 31 = 3607543772 * 10 ^ 70 + 381252641903967716514729648870302172247610925533987578083112664486253
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_32 :
Polynomial.coeff remainder5Coefficient2 32 = -(52517133007 * 10 ^ 70 + 5692315026854207875757695230761066664209690181626496629554032185003315)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_33 :
Polynomial.coeff remainder5Coefficient2 33 = 680048490274 * 10 ^ 70 + 3735071683097265578953417144482668200102710731048712144385250345509695
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_34 :
Polynomial.coeff remainder5Coefficient2 34 = -(7941632772587 * 10 ^ 70 + 2253146697798679491404522994654241282790865766915253558715128549573841)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_35 :
Polynomial.coeff remainder5Coefficient2 35 = 84428650001058 * 10 ^ 70 + 5542383267528288488752497252128823963187356609681971013889521130790039
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_36 :
Polynomial.coeff remainder5Coefficient2 36 = -(822796666141926 * 10 ^ 70 + 1369937885619487389685219170370809357161388625724502697827027921435164)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_37 :
Polynomial.coeff remainder5Coefficient2 37 = 7390489940400932 * 10 ^ 70 + 3550014308267611312653323812874083302844971258924211157881399626893683
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_38 :
Polynomial.coeff remainder5Coefficient2 38 = -(61454176874452596 * 10 ^ 70 + 3532249289194988239761266238355789116783272447143756982198563530322657)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_39 :
Polynomial.coeff remainder5Coefficient2 39 = 474831318003330366 * 10 ^ 70 + 6677184698920343257540216068164348820598620540427892523496985443744611
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_40 :
Polynomial.coeff remainder5Coefficient2 40 = -(3419967268121142796 * 10 ^ 70 + 1081486082328413834764204671117466462476096937972333292757865308173539)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_41 :
Polynomial.coeff remainder5Coefficient2 41 = 23025467468786996970 * 10 ^ 70 + 9456175154186617880065289725511536971013502993327056838723833239344885
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_42 :
Polynomial.coeff remainder5Coefficient2 42 = -(145267245007742123734 * 10 ^ 70 + 4361441613496547239508970513866131860820049684312465390020113721493365)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_43 :
Polynomial.coeff remainder5Coefficient2 43 = 860701983671610967056 * 10 ^ 70 + 4258237467202546168965401980225550612045440959140528789259174333939582
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_44 :
Polynomial.coeff remainder5Coefficient2 44 = -(4798651117566125098829 * 10 ^ 70 + 1536326351389853687853317835415854359636878116891962121983868345438989)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_45 :
Polynomial.coeff remainder5Coefficient2 45 = 25219588378537785911101 * 10 ^ 70 + 8218857373156860187561585465932237209619053525712905522344182043434676
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_46 :
Polynomial.coeff remainder5Coefficient2 46 = -(125143010686210879918089 * 10 ^ 70 + 8678846085804371350473274779775111173476699899353588722121928025927341)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_47 :
Polynomial.coeff remainder5Coefficient2 47 = 587160368252486177697131 * 10 ^ 70 + 1431380996008477547719676886862934876389339746596699377824349593675430
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_48 :
Polynomial.coeff remainder5Coefficient2 48 = -(2608322246740818674633953 * 10 ^ 70 + 9941366911775449147619930209973610712011424265786577937782213173095032)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_49 :
Polynomial.coeff remainder5Coefficient2 49 = 10983472566203357853310194 * 10 ^ 70 + 3352735667181074857215680445776814980056719336933955341374120168908765
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_50 :
Polynomial.coeff remainder5Coefficient2 50 = -(43889738893697888849049941 * 10 ^ 70 + 4628930848294568881657626603276068273290098651060279256736447572493963)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_51 :
Polynomial.coeff remainder5Coefficient2 51 = 166593408122492983949038106 * 10 ^ 70 + 8122708792977361567383422554617558162626861787462679029859526032574294
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_52 :
Polynomial.coeff remainder5Coefficient2 52 = -(601187507045704043526090236 * 10 ^ 70 + 1949229710423010243260962345466744752111913901373716277087590752698764)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_53 :
Polynomial.coeff remainder5Coefficient2 53 = 2064275839240507432282761360 * 10 ^ 70 + 5818940945953748592775308033940543929208064654046348673762068662810595
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_54 :
Polynomial.coeff remainder5Coefficient2 54 = -(6749085101777891110996492264 * 10 ^ 70 + 3893057275104394320871879394892358327851883502617071328492625121459716)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_55 :
Polynomial.coeff remainder5Coefficient2 55 = 21024382172476823291333063939 * 10 ^ 70 + 4672342583733747956800340751816982395504265507116055743330649135555902
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_56 :
Polynomial.coeff remainder5Coefficient2 56 = -(62438846032158517704049171670 * 10 ^ 70 + 868494143884183472150626839566604869802198225054034248152829434782794)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_57 :
Polynomial.coeff remainder5Coefficient2 57 = 176874127641426313703373225797 * 10 ^ 70 + 5558728590449554321326121383737442730767825687823141880777478249245274
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_58 :
Polynomial.coeff remainder5Coefficient2 58 = -(478134719723108710836609905641 * 10 ^ 70 + 9899913479650921489243010353121852120210903954166500719471170047761633)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_59 :
Polynomial.coeff remainder5Coefficient2 59 = 1233920453440663732157465389047 * 10 ^ 70 + 4875268480870654859879803253631462811396693144240801215664763511930056
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_60 :
Polynomial.coeff remainder5Coefficient2 60 = -(3041068607623164921631358504367 * 10 ^ 70 + 9006988115774766001933856949116843756243670105440930637964532332193094)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_61 :
Polynomial.coeff remainder5Coefficient2 61 = 7159727272219938722640580178810 * 10 ^ 70 + 9230895991687462477646958561316688165742328549755770011258873459101570
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_62 :
Polynomial.coeff remainder5Coefficient2 62 = -(16106653750531272580204760374185 * 10 ^ 70 + 5687933077295684837139437188650072929313857455038601095929319568360822)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_63 :
Polynomial.coeff remainder5Coefficient2 63 = 34628898647837603484806932119158 * 10 ^ 70 + 1518702623142179769831123086955917965572169334556488616772112413493718
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_64 :
Polynomial.coeff remainder5Coefficient2 64 = -(71164083425035438686871250976953 * 10 ^ 70 + 6142747007291482446764896327637453744587471512989289770221064068708243)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_65 :
Polynomial.coeff remainder5Coefficient2 65 = 139802175790552342054296264711958 * 10 ^ 70 + 6764628892198754854963538434937951225861033084528296682989515273864412
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_66 :
Polynomial.coeff remainder5Coefficient2 66 = -(262552745926616556641542231511944 * 10 ^ 70 + 1292345485823440329360740611072879209531122923307068852953974004696743)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_67 :
Polynomial.coeff remainder5Coefficient2 67 = 471370360596554978358070586011271 * 10 ^ 70 + 847841740224289086005796543650471316445176151528692546371058258914689
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_68 :
Polynomial.coeff remainder5Coefficient2 68 = -(808940975629059665662139601311155 * 10 ^ 70 + 8992813342920912128196921078229703492729129234257674013304324521058101)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_69 :
Polynomial.coeff remainder5Coefficient2 69 = 1326828399584128846854692684185114 * 10 ^ 70 + 3265232326407096440602477260961578959115362666201293028457150846054336
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_70 :
Polynomial.coeff remainder5Coefficient2 70 = -(2079478250260570660548190148918241 * 10 ^ 70 + 4061452722080672530768976560481190980900061449939120266106489299917303)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_71 :
Polynomial.coeff remainder5Coefficient2 71 = 3113086590544124092333828149385047 * 10 ^ 70 + 2872532012724567009534138779567505873644747963921521905738484982492975
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_72 :
Polynomial.coeff remainder5Coefficient2 72 = -(4449678943384358055276361386941395 * 10 ^ 70 + 5720026517494472625372653272198640283108271669315286186730863301887801)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_73 :
Polynomial.coeff remainder5Coefficient2 73 = 6068836639659817783353098983834720 * 10 ^ 70 + 1241164025084094431048307875525275415896651818165674449271299739273166
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_74 :
Polynomial.coeff remainder5Coefficient2 74 = -(7891820587525188565581898251881977 * 10 ^ 70 + 700717212473828031076378084737000364156596211677480211291914529408303)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_75 :
Polynomial.coeff remainder5Coefficient2 75 = 9774407261503846186066833504800445 * 10 ^ 70 + 2470188828046459055095288469815490854009907252886542379241341557170580
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_76 :
Polynomial.coeff remainder5Coefficient2 76 = -(11514452332111669998914171608060949 * 10 ^ 70 + 7111831232225463660673273907143356151531158108130327072332823232325881)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_77 :
Polynomial.coeff remainder5Coefficient2 77 = 12877314131718046685321323374377921 * 10 ^ 70 + 7835217858856667967098033242671384373762674067872601378107818909339621
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_78 :
Polynomial.coeff remainder5Coefficient2 78 = -(13637049275983123526416106364825534 * 10 ^ 70 + 5571445851015848956938867083371661836479116302742408090896820233112375)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_79 :
Polynomial.coeff remainder5Coefficient2 79 = 13625208987494172389839358675065467 * 10 ^ 70 + 6343307782759518624250686422817615530570004539378932731114853091626257
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_80 :
Polynomial.coeff remainder5Coefficient2 80 = -(12774477868872078770496080714719971 * 10 ^ 70 + 7463906087883508248205876316241921840851320442123902806804727691656654)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_81 :
Polynomial.coeff remainder5Coefficient2 81 = 11143616245134050984850639521813302 * 10 ^ 70 + 8911161634928558279121047336448476057851156252472751373750385947328566
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_82 :
Polynomial.coeff remainder5Coefficient2 82 = -(8914280116848690864359806800484255 * 10 ^ 70 + 2203878506415793455783729792458513207132800211159914855346056823564522)
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_83 :
Polynomial.coeff remainder5Coefficient2 83 = 6358381435836985426820898238016912 * 10 ^ 70 + 9846063276244013636825165295549155804687678200437528652829898784519866
theorem
MazurTorsion.Kubert.OrderSevenBacktrackingCertificate.Internal.ResultantCertificate.recurrence4B2_coeff_84 :
Polynomial.coeff remainder5Coefficient2 84 = -(3783919235287082799367635333006711 * 10 ^ 70 + 7817976646411081427391618219076593506964666191688760857017444128470589)