# Euler Factors of 32-273e16-1.1-c1e16-0-2 downloaded from the LMFDB on 25 April 2024.
{"bad_lfactors": [[3, [1, -8, 36, -112, 266, -504, 784, -1016, 1107, -1016, 784, -504, 266, -112, 36, -8, 1]], [7, [1, 0, -4, 0, 10, 0, -16, 0, 19, 0, -16, 0, 10, 0, -4, 0, 1]], [13, [1, 12, 87, 468, 1971, 6738, 18453, 41646, 110993, 541398, 3118557, 14803386, 56293731, 173765124, 419932383, 752982204, 815730721]]], "first_lfactors": [[2, [1, 0, 1, 0, -4, 6, -3, 12, 0, -18, 6, -48, 79, 72, 68, 84, -247, 168, 272, 576, 1264, -1536, 384, -2304, 0, 6144, -3072, 12288, -16384, 0, 16384, 0, 65536]], [3, [1, -8, 36, -112, 266, -504, 784, -1016, 1107, -1016, 784, -504, 266, -112, 36, -8, 1]], [5, [1, 0, -30, 0, 443, 0, -4276, 0, 31505, 0, -203174, 0, 1263211, 0, -7525488, 0, 40314529, 0, -188137200, 0, 789506875, 0, -3174593750, 0, 12306640625, 0, -41757812500, 0, 108154296875, 0, -183105468750, 0, 152587890625]], [7, [1, 0, -4, 0, 10, 0, -16, 0, 19, 0, -16, 0, 10, 0, -4, 0, 1]], [11, [1, 0, 20, 0, 171, -318, -2362, 3534, -57733, 143502, -362522, 2412444, 567417, -4761456, 51307768, -433232568, 375326845, -4765558248, 6208239928, -6337497936, 8307552297, 388526518644, -642229836842, 2796448012842, -12375581276773, 8332987139994, -61264196907562, -90729111254298, 536671252419291, 0, 7594996671664820, 0, 45949729863572161]], [13, [1, 12, 87, 468, 1971, 6738, 18453, 41646, 110993, 541398, 3118557, 14803386, 56293731, 173765124, 419932383, 752982204, 815730721]], [17, [1, 2, -41, -294, 410, 10276, 29791, -156214, -1204593, -974078, 21633218, 86511284, -86539833, -1854440930, -4715816279, 13819057390, 132905859300, 234923975630, -1362870904631, -9110868289090, -7227893391993, 122833652166388, 522173292167042, -399701873918494, -8402948583126513, -18525086539102358, 60058474288276159, 352178006457236708, 238875117264202010, -2911945941674345478, -6903490888935438089, 5724846103019631586, 48661191875666868481]], [19, [1, 0, 73, 0, 2948, 3252, 83129, 168408, 1831657, 4550772, 39248064, 73946484, 786856534, 634369176, 14674043478, 3299885748, 274620956664, 62697829212, 5297329695558, 4351138178184, 102543930367414, 183098815085916, 1846459748424384, 4067806481432508, 31108062128988937, 54343189807565832, 509669406944739329, 378826321937008188, 6524852381407042628, 0, 58327488062150540833, 0, 288441413567621167681]], [23, [1, 6, -91, -110, 7457, -9202, -318656, 1428804, 9322934, -72919476, -85790918, 2524398078, -4220508830, -52607690920, 270181836017, 525549339486, -7695179930327, 12087634808178, 142926191252993, -640077775423640, -1181071411496030, 16247891898548754, -12700134814256102, -248278087466705772, 730088147249734454, 2573494127308980252, -13200806357296535744, -8767755392323956254, 163417354389575533697, -55443999813011412130, -1054948105533026232619, 1599811412786347473642, 6132610415680998648961]], [29, [1, 12, 18, -376, -2161, 1840, 103824, 520926, -1572752, -17528284, 18821586, 544344096, 2161393422, -1395042284, -60229103551, 28609096538, 2256146434858, 829663799602, -50652676086391, -34023686264476, 1528712500905582, 11165122860326304, 11195518291007106, -302360730909023756, -786763546477238672, 7557149524625534694, 43679507790160068624, 22448937968898725360, -764593746507018597601, -3857996396072434423064, 5356048188164390342658, 103550264971178213291388, 250246473680347348787521]], [31, [1, 0, -258, 0, 33109, 0, -2840472, 0, 184703268, 0, -9745394772, 0, 433512768044, 0, -16589494630446, 0, 551196695485436, 0, -15942504339858606, 0, 400358145056762924, 0, -8649073732948155732, 0, 157531761863263057188, 0, -2328131199576929778072, 0, 26078727108455094036949, 0, -195291535286965450642818, 0, 727423121747185263828481]], [37, [1, 6, 177, 990, 14228, 57474, 700051, 1451718, 27383363, 40001820, 1268583512, 2809915104, 61371023941, 107556285678, 2179482108429, 1787110561974, 69771935069668, 66123090793038, 2983711006439301, 5448048538447734, 115019179600288501, 194850632145426528, 3254838218760368408, 3797447861336382060, 96183499916760516323, 188667796971829592286, 3366254298495487610299, 10225637394152707776762, 93662241139092021978068, 241133531973920492343030, 1595134849391116469044953, 2000677607710891842530958, 12337511914217166362274241]], [41, [1, 30, 575, 8250, 95739, 943848, 8050892, 60437796, 404003135, 2433000642, 13621179079, 74819963034, 440654529114, 2931357770826, 21090258657235, 150632286782634, 1006165188471556, 6175923758087994, 35452724802812035, 202032108923098746, 1245184382843705754, 8668356676079673834, 64702020510578374039, 473837273384716831602, 3225934825305477294335, 19786242564987598549956, 108064380458831483991692, 519426955927317658540968, 2160205997866758289208859, 7632100594098862441898250, 21809305637076446311242575, 46652949449746137326658030, 63759030914653054346432641]], [43, [1, -14, -25, 98, 12097, -22968, -305704, -3814866, 12100128, 118230986, 1147656572, -1958074954, -50432478520, -244451897020, 306361524951, 8746158934314, 26545402320665, 376084834175502, 566462459634399, -19435636976369140, -172418607996654520, -287853550264836622, 7254753847182808028, 32137382404331161502, 141428719448607632928, -1917323467129056508038, -6606716589100248056296, -21344018608175043134376, 483391653754485386722897, 168389884179664496953814, -1847133933603462594136225, -44478985121171379266800298, 136614025729312093462315201]], [47, [1, 0, -186, 0, 13601, 0, -661588, 0, 40610180, 0, -2326785416, 0, 99861652240, 0, -5727716857806, 0, 335125347067804, 0, -12652526538893454, 0, 487293007064135440, 0, -25080921023440841864, 0, 966980637365713326980, 0, -34798954697638330457812, 0, 1580320361764809612655841, 0, -47740059430906138136192634, 0, 566977372488557307219621121]], [53, [1, -28, 796, -13920, 232804, -2969780, 36369064, -364067724, 3590779170, -30113743496, 263125713316, -2041626496516, 17590279769792, -136854241575812, 1171729154113764, -8757812409282408, 68906356873564955, -464164057691967624, 3291387193905563076, -20374448923082163124, 138795768308228149952, -853798999232371402388, 5832013332261548093764, -35374949946945205250152, 223560799459763810150370, -1201337420605467619655292, 6360493602521447471916136, -27526997522330947160938660, 114367037946582875705043364, -362431169204442287847944160, 1098437224597486439635708924, -2047840252892801352285668396, 3876269050118516845397872321]], [59, [1, 24, 539, 8328, 115251, 1326900, 14050742, 129142968, 1111014044, 8281314384, 56882945752, 309726060258, 1283893911360, -1007575966098, -71532433148903, -980486075231754, -8181376692863111, -57848678438673486, -249004399791331343, -206934944341241142, 15557406009651120960, 221430686511982409142, 2399353006891414043032, 20609305337994542336496, 163130678265066346084124, 1118764991792688590318952, 7181569632504960759969542, 40013848377322643424227100, 205054281649524385153252131, 874212209846830879504913112, 3338235168748687415842428179, 8769834877454807756647269576, 21559177407076402401757871041]], [61, [1, -2, -348, 528, 62122, -67978, -8083588, 6720190, 871782213, -567006886, -80756580288, 36167132182, 6542766246442, -1582215717876, -471197353489472, 34085218272410, 30371717222165356, 2079198314617010, -1753325352334325312, -359132905859212356, 90590101148402747722, 30546626058695258782, -4160609248551913195968, -1781956828951075840606, 167127025573053293162853, 78586883631603066006790, -5766370200603137838852388, -2957989091390185440497458, 164893466981314647327217162, 85491271764176654987202768, -3437137721609738697099129468, -1204973569070080807603717802, 36751693856637464631913392961]], [67, [1, -30, 735, -13050, 203725, -2666316, 31653972, -334495446, 3283743828, -29916484650, 262104541728, -2242119948858, 19092620081732, -164189360358072, 1404467812435059, -11974380158039754, 98830332492887945, -802283470588663518, 6304656010020979851, -49382084589374808936, 384737697474011421572, -3027142435858741777806, 23709552803862031648032, -181315185708722387791950, 1333422229926914004161748, -9100461857003019044311362, 57700056825822929457325428, -325637527446642703436676228, 1667024408846328821775689725, -7154560274265738644346910350, 26998185494729218355621731815, -73831772577422760401088001290, 164890958756244164895763202881]], [71, [1, 6, 344, 1992, 60465, 284676, 6504830, 22932720, 460917815, 1130102280, 23713389340, 84334955376, 1329013275657, 13430256823806, 119003779607140, 1583719176585852, 9915173847443161, 112444061537595492, 599898052999592740, 4806836650065229266, 33772461405760749417, 152159601804654440976, 3037691907183214802140, 10278416027871630231480, 297639306650330388132215, 1051430829395990462194320, 21174805907915605532700830, 65794969632037514795087196, 992211466912846645231882065, 2320854249374311200337973112, 28456096479276193151131855064, 35239235756312960123203983306, 416997623116370028124580469121]], [73, [1, 0, -618, 0, 196687, 0, -42567516, 0, 6980445477, 0, -917847146298, 0, 100043030404079, 0, -9221904620581356, 0, 726792737728641401, 0, -49143529723078046124, 0, 2841046087785362825039, 0, -138901687736574420628122, 0, 5629450700843042079521637, 0, -182939256267919465480729884, 0, 4504535124120029515192930927, 0, -75423818676563391800343762762, 0, 650377879817809571042122834561]], [79, [1, -92, 4862, -185668, 5651929, -144238872, 3184934816, -62130792828, 1086805353576, -17231968491376, 249687286809896, -3326700591172660, 40947567017260544, -467270151828796840, 4956211485617363886, -48947474590219375704, 450559037141563267556, -3866850492627330680616, 30931715881737968012526, -230382408387518165196760, 1594911052075226586904064, -10236445341624916366851340, 60695847226559763882635816, -330921154560744312894864784, 1648801976563764599127212136, -7446474680101215866786616132, 30155842143058338386777050016, -107889783493471343737899184488, 333981024853739066047014449689, -866740810948081260092005619452, 1793057565135274338274873292222, -2680366594694194547630970606308, 2301619141096101839813550846721]], [83, [1, 0, -756, 0, 269174, 0, -60833818, 0, 9951538541, 0, -1276173252560, 0, 136102909547275, 0, -12723814226688534, 0, 1091530395618435706, 0, -87654356207657310726, 0, 6459215570328541625275, 0, -417232559675497535074640, 0, 22413772953726585382279181, 0, -943900025662984817251138282, 0, 28772010943046369501980677014, 0, -556692139063597183462568941524, 0, 5072820298953863752478356399681]], [89, [1, -18, 501, -7074, 120388, -1606998, 22974801, -291334410, 3686800389, -42582618516, 491883376368, -5340094232172, 58241112783722, -598116184864884, 6127033409533722, -58887883494753720, 572157617159140568, -5241021631033081080, 48532231636916611962, -421653368728012408596, 3654177934384466601002, -29819403655710456393228, 244456835389624079409648, -1883486060309750121014964, 14513417140195477648909509, -102070876163842015947741690, 716393810228707004962438401, -4459697579197405943185142022, 29734680704414778546860286148, -155501700219039129865132572306, 980161904306861148085439110341, -3134170400597987144177392125282, 15496731425178936435099327730561]], [97, [1, 6, 547, 3210, 165383, 808812, 32896490, 106625022, 4598294392, 1440052458, 442215729636, -2528804866020, 24902565584716, -614588315539890, 62333990757309, -86521863369201144, -100749508181265495, -8392620746812510968, 586500519035520381, -560918161708738025970, 2204606226270252069196, -21715707828071037367140, 368353322926039523375844, 116353768164889872851754, 36038826944695982500302712, 81059653354126306663059774, 2425866541615773857192668010, 5785443584344764947367347436, 114749731188508522802794765703, 216041695943149530151866916170, 3571014437709523651192494300643, 3799507134820736316259655727558, 61425365346268570446197767595521]], [101, [1, 14, -190, -1552, 31827, -112412, -4213688, 39448662, 235856048, -6811319606, -11202505758, 673374851150, -2345773362690, -55726005622842, 792636124335309, 3033689503519206, -97384949278842134, 306402639855439806, 8085681104344487109, -57414559319219735442, -244102116776639838690, 7077237360432415426150, -11891685599340729660558, -730265654409219062303806, 2553983031397383302134448, 43144420656503185869564462, -465453299437968750937501688, -1254145101853415645930365612, 35863460234010200299484044227, -176632077123246517653084579152, -2184001005151482392888333166190, 16253565375179979492337384721014, 117257864492369852051862561201601]], [103, [1, -24, 814, -15088, 362627, -5824360, 110526386, -1578381648, 25914361721, -335360544344, 4865839258844, -57705325495064, 759440266427902, -8288206624367288, 99550663756869112, -1004378336549483704, 11121357356985075538, -103450968664596821512, 1056132991796624409208, -9056747160024993514376, 85475671053335093081662, -668962877954705078192552, 5810066541563645473752476, -41245116898334380403543528, 328275381064192932252833081, -2059430048158610015510612784, 14853822049511084621513904914, -80622763872926318472898904920, 517019393114369332450914238307, -2215723666855720236678453575824, 12312480360320605519856502167566, -37391217998418349932537190857768, 160470643909878751793805444097921]], [107, [1, -6, -540, 2120, 156797, -305168, -31787526, -853476, 5050573039, 8404316108, -655911312000, -1779346618656, 73072980527793, 196813330185706, -7501441853936704, -9088238856775492, 780981004904110201, -972441557674977644, -85884007785721324096, 241104792450687835358, 9578377131463875850593, -24956256795111657079392, -984346014039499215888000, 1349549512869569236355044, 86778247958415012086621839, -1569080814779503788016332, -6253087491577734721734925974, -6423334605794360152569823024, 353136884574290216884294840397, 510887140039873165928132818840, -13924084411086731852512978430460, -16554189244292003424654318800658, 295216374856540727739668685278401]], [109, [1, 0, -658, 0, 253465, 0, -68614640, 0, 14591579480, 0, -2549941764760, 0, 380991691472960, 0, -49634407746678122, 0, 5737706570984267572, 0, -589706398438282767482, 0, 53780086524602414826560, 0, -4276507616317091147763160, 0, 290746361551011995636181080, 0, -16243580628121527084939190640, 0, 712912078914601350824865278665, 0, -21988563839214570655281193219138, 0, 397030588105939686862303733490241]], [113, [1, -6, -228, 5884, -2923, -1135690, 14256738, 57425274, -2737868786, 18577325356, 218386132548, -4206618901998, 7858045412838, 445977892450478, -4269802121138353, -20024646028553678, 626152159974884914, -2262785001226565614, -54521103284815629457, 643500163083117354766, 1281233567181391420518, -77504226509494542582414, 454669391403809978817732, 4370511744459435078479852, -72784713750814830652184306, 172507931396237613266531802, 4839545790146497580555702562, -43563491501386696564847271530, -12669811021860300336071013163, 2881989733132650978806338721852, -12619235806327263735208448475492, -37525622266183705317856702045542, 706732552679793116819634555191041]]]}