# Euler Factors of 32-33e32-1.1-c1e16-0-0 downloaded from the LMFDB on 24 April 2024.
{"bad_lfactors": [[3, [1, 2, 9, 26, 64, 156, 327, 612, 1215, 1836, 2943, 4212, 5184, 6318, 6561, 4374, 6561]], [11, [1]]], "first_lfactors": [[2, [1, 0, 0, 0, -2, 0, 18, 0, 7, 0, -54, 0, 151, 0, 171, 0, -635, 0, 684, 0, 2416, 0, -3456, 0, 1792, 0, 18432, 0, -8192, 0, 0, 0, 65536]], [3, [1, 2, 9, 26, 64, 156, 327, 612, 1215, 1836, 2943, 4212, 5184, 6318, 6561, 4374, 6561]], [5, [1, -4, -6, 8, 125, -12, -210, -2136, -860, 4752, 39884, 8492, -60605, -529324, -373620, 669228, 7650271, 3346140, -9340500, -66165500, -37878125, 26537500, 623187500, 371250000, -335937500, -4171875000, -2050781250, -585937500, 30517578125, 9765625000, -36621093750, -122070312500, 152587890625]], [7, [1, 0, -7, 0, -58, 0, 931, 0, -466, 0, -46550, 0, 285549, 0, 1116948, 0, -19877423, 0, 54730452, 0, 685603149, 0, -5476560950, 0, -2686397266, 0, 262984456819, 0, -802794657658, 0, -4747561509943, 0, 33232930569601]], [11, [1]], [13, [1, 0, -68, 0, 2502, 0, -60646, 0, 1046819, 0, -12593835, 0, 91300879, 0, -46501493, 0, -5919985413, 0, -7858752317, 0, 2607644405119, 0, -60788036122515, 0, 853922417626499, 0, -8360566096674454, 0, 58291808976447462, 0, -267741594227551652, 0, 665416609183179841]], [17, [1, 0, 108, 0, 5578, 0, 184044, 0, 4530739, 0, 96771996, 0, 2033365396, 0, 41863245936, 0, 770310140773, 0, 12098478075504, 0, 169828711239316, 0, 2335840730717724, 0, 31605336292478899, 0, 371031581414235756, 0, 3249866839267606858, 0, 18184805268415300332, 0, 48661191875666868481]], [19, [1, 0, 152, 0, 10136, 0, 383752, 0, 9145628, 0, 164397208, 0, 3588787368, 0, 102343574088, 0, 2353894440070, 0, 36946030245768, 0, 467694358585128, 0, 7734211484300248, 0, 155325349687534748, 0, 2352808938563649352, 0, 22434160019654607896, 0, 121449016238998386392, 0, 288441413567621167681]], [23, [1, -46, 1023, -15346, 182897, -1880826, 17207910, -142518006, 1088403142, -7753407690, 51771181283, -325939537894, 1945632663226, -11031835462744, 59508977418846, -306218329479012, 1503813539266249, -7043021578017276, 31480249054569534, -134224342075206248, 544467790109827066, -2097858663147281642, 7663992845809065587, -26398999803877487430, 85233922432956152902, -256696685813299802778, 712863676578462763590, -1792069365738219663702, 4008119064743220649937, -7734942010277028459518, 11859471560003141054607, -12265220831361997297922, 6132610415680998648961]], [29, [1, 0, -66, 0, 2053, 0, -49590, 0, 823564, 0, -15682284, 0, 502358035, 0, -4781857164, 0, -62685690833, 0, -4021541874924, 0, 355308293352835, 0, -9328188249745164, 0, 411984936843813004, 0, -20862871699356967590, 0, 726381749920827941173, 0, -19638843356602764589746, 0, 250246473680347348787521]], [31, [1, -14, -109, 1798, 13425, -167698, -1176746, 10512950, 88978526, -522427438, -5254997569, 18890089030, 260125197762, -497921234180, -10507839919218, 5794151062272, 358514665608817, 179618682930432, -10098034162368498, -14833571487456380, 240231082762360002, 540807211243313530, -4663829686133551489, -14373344502692377618, 75888987350110991966, 277958425794026189450, -964494308191509653546, -4260950758573297349038, 10574372872361280541425, 43902748242806186578618, -82506888939066798914989, -328513667885825603019314, 727423121747185263828481]], [37, [1, 12, 362, 2736, 53055, 272700, 5002342, 19238328, 383423879, 1181923056, 24577160238, 59617247256, 1307592770632, 2570437401936, 60206804005760, 105725440069308, 2410970741398287, 3911841282564396, 82423114683885440, 130200365720264208, 2450639374600439752, 4134095830178431992, 63058269080861325342, 112202174332851878448, 1346768497130191579559, 2500246577628344111256, 24054183566689447602358, 48518135459258854625100, 349258518669843071833455, 666405397455198451566192, 3262366189150193004487418, 4001355215421783685061916, 12337511914217166362274241]], [41, [1, 0, -243, 0, 31798, 0, -2835873, 0, 191144758, 0, -10321101702, 0, 472062936229, 0, -19565071633296, 0, 795062132797705, 0, -32888885415570576, 0, 1333937034741395269, 0, -49026308966462518182, 0, 1526276600568428097718, 0, -38064957125859819881073, 0, 717473864571043985003638, 0, -9216802208364480788925123, 0, 63759030914653054346432641]], [43, [1, 0, -187, 0, 15470, 0, -910217, 0, 55847702, 0, -3571755902, 0, 195432590901, 0, -8765578837884, 0, 367545452133793, 0, -16207555271247516, 0, 668145137204929701, 0, -22578365778950465198, 0, 652759126019777922902, 0, -19671138596750649272033, 0, 618175488433652056923470, 0, -13816561823353900204138963, 0, 136614025729312093462315201]], [47, [1, -16, -108, 1892, 18446, -162498, -2148786, 11058810, 163889227, -475395612, -11476388491, 24106050974, 684557223499, -984360205306, -38112556162317, 13387521967668, 1991552726746219, 629213532480396, -84190636562558253, -102199229595484838, 3340420876920823819, 5528602429374386818, -123706462743746378539, -240846408405857608356, 3902413364871420748747, 12376251267253610727270, -113024278960500307670514, -401720928132721831212894, 2143268097427665474233486, 10332211443980143371502684, -27720034508268080208111852, -193013573613125891819445488, 566977372488557307219621121]], [53, [1, 96, 4880, 172764, 4752804, 107696124, 2083029766, 35216302020, 529159326230, 7153126248528, 87781125886386, 984616024553676, 10146931615284505, 96445259840982552, 847854891542752226, 6906884712353755812, 52196578309047893373, 366064889754749058036, 2381624390343591002834, 14358480949345959394104, 80064171118701696296905, 411761983803924639782268, 1945612574456069528689794, 8402857088806290623409936, 32945295829364178297299030, 116205471243503911808208660, 364295806471806580928416534, 998239242810122788382270028, 2334857285186985094682363364, 4498208226755478981161079372, 6734137758838861589726456720, 7021166581346747493550863072, 3876269050118516845397872321]], [59, [1, -48, 980, -11628, 105150, -952434, 7641214, -39657198, 130844195, -418974156, -2846477451, 37925283870, 493790067403, -10490220615738, 109744471664627, -1250328039496020, 11865248309949363, -73769354330265180, 382020505864566587, -2154471019839654702, 5983432504936483483, 27113706985135757130, -120065937880253429091, -1042680655430187337764, 19211910409835109766595, -343550140453571009600922, 3905552490955407282300814, -28721493454975442435082006, 187082608527886865180037150, -1220621947178067899481643812, 6069518488633977119713505780, -17539669754909615513294539152, 21559177407076402401757871041]], [61, [1, 0, -193, 0, 16973, 0, -831926, 0, 14728058, 0, 1257423403, 0, -179400783930, 0, 15766156767906, 0, -1069559799784055, 0, 58665869333378226, 0, -2483954729570135130, 0, 64782924452842570483, 0, 2823476424848108410298, 0, -593448515128055270719526, 0, 45052265140752929865182333, 0, -1906228678938734392356701113, 0, 36751693856637464631913392961]], [67, [1, 22, -211, -5690, 65658, 1200128, -12782645, -163419586, 2137044350, 17648705048, -275068052338, -1380151393820, 29490745742853, 78770055956260, -2574112723768356, -1971977945455866, 189839170507308241, -132122522345543022, -11555192016996150084, 23691118339572626380, 594271585844465688213, -1863377048257426638740, -24882211000873297961122, 106963711503336213770504, 867784636040041454028350, -4446080587537280172631942, -23300688548164550727252605, 146571792142973456405786624, 537260957840384134397586138, -3119497928013184129220990030, -7750499509371244997328143419, 54143299890110024294131200946, 164890958756244164895763202881]], [71, [1, -68, 2958, -93872, 2432153, -53333244, 1025530314, -17576628708, 272940270772, -3873651194112, 50692338577580, -614690457301448, 6942101694882823, -73215134571927872, 723200962239610596, -6698108887106320980, 58249227769631227399, -475565730984548789580, 3645656050649877014436, -26204502029773276595392, 176410473739921630455463, -1109042564842884736400248, 6493702964407459285091180, -35231323062143419726593792, 176252143670193169817197492, -805862073946649863509381948, 3338350941013638485164227114, -12326501599565987275780169124, 39910859106697770722577650873, -109369091414289829818336451792, 244689341237497032968162869998, -399378005238213548062978477468, 416997623116370028124580469121]], [73, [1, 0, 914, 0, 396905, 0, 109465438, 0, 21619373204, 0, 3263922601708, 0, 391633752109407, 0, 38215903918217724, 0, 3069338340547597255, 0, 203652551980182251196, 0, 11121709676137198353087, 0, 493943201596660089901612, 0, 17435161700790272377605524, 0, 470441493808613348206035262, 0, 9089937379892216133896242505, 0, 111549142832328382047757603826, 0, 650377879817809571042122834561]], [79, [1, 0, -518, 0, 146001, 0, -28480138, 0, 4266348260, 0, -520709117172, 0, 54072666209671, 0, -4948361973049124, 0, 409224108771995319, 0, -30882727073799582884, 0, 2106134728752648433351, 0, -126577854359927727306612, 0, 6472514531375527284933860, 0, -269657809455312010789393738, 0, 8627419702135458067843767441, 0, -191033282340615406669350959558, 0, 2301619141096101839813550846721]], [83, [1, 0, -321, 0, 40717, 0, -3828030, 0, 506523742, 0, -58337531937, 0, 4772524815106, 0, -427440725025378, 0, 40285302216725329, 0, -2944639154699829042, 0, 226496014655766197026, 0, -19072894472908741785753, 0, 1140839489500599711611422, 0, -59395871145859623178375470, 0, 4352240445095065002608525437, 0, -236373249523035312025773320409, 0, 5072820298953863752478356399681]], [89, [1, 16, 660, 7936, 215354, 2194656, 49241316, 449845632, 8938846003, 74682830304, 1341422400260, 10318246366096, 170534135413252, 1217996702236000, 18713424293666736, 124754028401553120, 1786142177753580757, 11103108527738227680, 148229033830134215856, 858649917178610684000, 10699693822824891577732, 57617701117708282041104, 666661836205218062049860, 3303321278122185875310816, 35188561111304590355632243, 157606297851040826973257088, 1535428924494962716010858916, 6090550237381167952696226784, 53190371369393462962924461434, 174450309999758910744938096384, 1291231251182691332807165295060, 2785929244975988572602126333584, 15496731425178936435099327730561]], [97, [1, 4, -170, 2912, 20633, -594412, 5018778, 69291036, -1118602908, 4333683264, 143371758948, -1476803776440, -929814306081, 213333898273176, -1343547825796716, -7755290914415652, 239215082369250375, -752263218698318244, -12641441492921300844, 194704088938674359448, -82315791980864857761, -12681816521112840145080, 119424661501112855854692, 350154173202709282400832, -8766976009926961022802588, 52677197653551590015494812, 370096798472947426532548122, -4251837376123920542591504236, 14316049434418872260087580953, 195985488656215399315338461024, -1109821671683032944611926930730, 2533004756547157544173103818372, 61425365346268570446197767595521]], [101, [1, 0, -723, 0, 287518, 0, -79798233, 0, 17096357878, 0, -2979043498422, 0, 435819852759949, 0, -54582701850675336, 0, 5915710546096547305, 0, -556798141578739102536, 0, 45351588641961249679549, 0, -3162314703091851345851622, 0, 185129057700097541556500278, 0, -8814689374051851830042881233, 0, 323982479013483670145067189118, 0, -8310698561708009316096130942923, 0, 117257864492369852051862561201601]], [103, [1, 0, -706, 384, 270753, -223104, -72938750, 63032256, 15313411964, -11520549888, -2648703413436, 1458564778560, 389173878383455, -125084050597440, -49365812473457188, 5012948252404224, 5446821411509462055, 516333669997635072, -523721904530907307492, -136682719357188818880, 43801862874244716073855, 16908763334717284870080, -3162690393637457154763644, -1416882322257461315091456, 193985721199583741071790204, 82242797345060004842269248, -9802358081388607272813998750, -3088281134941067062574709888, 386029037396263488016839294273, 56391694596540069650353007232, -10678883457477085377172838489314, 0, 160470643909878751793805444097921]], [107, [1, 0, 1560, 0, 1155268, 0, 539046096, 0, 177355987114, 0, 43627949181288, 0, 8299731684196624, 0, 1245545838037829160, 0, 149016225973312470067, 0, 14260254299695106052840, 0, 1087925517571551479467024, 0, 65473787525284631727001512, 0, 3047306059697229079414775914, 0, 106038525938804132862521549904, 0, 2601884872595592455719723793668, 0, 40225132743139447573926382132440, 0, 295216374856540727739668685278401]], [109, [1, 0, 520, 0, 195924, 0, 50959568, 0, 11069518106, 0, 1956273878424, 0, 302441244103024, 0, 39915385002371224, 0, 4681662853611971043, 0, 474234689213172512344, 0, 42692049828134962378864, 0, 3280867138340243358394584, 0, 220567082395287718935681626, 0, 12063983015610687045050450768, 0, 551068534706031819221631802644, 0, 17376980541628536080161429291720, 0, 397030588105939686862303733490241]], [113, [1, 24, -172, -10188, -35430, 2017530, 21390622, -183435690, -4686106393, -14838060996, 486739403745, 6821421450642, 2936327430535, -954122105572194, -9334698097118881, 49899105771083388, 1556428845702531843, 5638598952132422844, -119194760002110991489, -1376699923763802006018, 478760438580642568135, 125680268534944593701106, 1013367954690762408120705, -3490810361841383187657732, -124577523278125567146304153, -551048505683081459802863370, 7261190789135288476899946078, 77389649471944546417135235610, -153572153439791461138212793830, -4990093711957078207355366909964, -9519774380211795449367776920108, 150102489064734821271426808182168, 706732552679793116819634555191041]]]}