# Euler Factors of 12-2205e6-1.1-c3e6-0-0 downloaded from the LMFDB on 19 April 2024.
{"bad_lfactors": [[3, [1]], [5, [1, -30, 375, -2500, 9375, -18750, 15625]], [7, [1]]], "first_lfactors": [[2, [1, 0, 14, 0, 113, 0, 976, 0, 7232, 0, 57344, 0, 262144]], [3, [1]], [5, [1, -30, 375, -2500, 9375, -18750, 15625]], [7, [1]], [11, [1, 0, 4474, 0, 10690519, 0, 16986506732, 0, 18938906530159, 0, 14041328557449754, 0, 5559917313492231481]], [13, [1, 0, 6438, 0, 27862663, 0, 71083547284, 0, 134487752532367, 0, 149993072018532678, 0, 112455406951957393129]], [17, [1, -44, 18242, -389820, 166062863, -2973843800, 1035189937436, -14610494589400, 4008353814000047, -46227926016060540, 10628194851545300162, -125946614266431894892, 14063084452067724991009]], [19, [1, 0, 21978, 0, 221297479, 0, 1589592507244, 0, 10411134862633999, 0, 48644235291236086458, 0, 104127350297911241532841]], [23, [1, 0, 49178, 0, 1213984799, 0, 18399433839724, 0, 179713318952451311, 0, 1077717400317895346138, 0, 3244150909895248285300369]], [29, [1, 0, 124478, 0, 6905589367, 0, 217717211232388, 0, 4107605600741227807, 0, 44042156583850375285598, 0, 210457284365172120330305161]], [31, [1, 0, 51250, 0, 1551151871, 0, 34382118836764, 0, 1376652995302537151, 0, 40367717669163175251250, 0, 699053619999045038539170241]], [37, [1, -380, 234410, -76562780, 27264647655, -6739056478520, 1819169578300204, -341353427806473560, 69953626520513420895, -9950232092347725434060, 1543109779688962670219210, -126709581821689816693627340, 16890053810563300749953435929]], [41, [1, -612, 410642, -150361140, 63298906559, -18049957932360, 5719108136228156, -1244021150656183560, 300676404496568616719, -49225520870881185075540, 9265516783922971384674002, -951720168774821201463823812, 107178930967531784356353269521]], [43, [1, 328, 504738, 129783480, 103507480423, 20588754352720, 11083196034764284, 1636950092321709040, 654308362041043089727, 65228218199453024753640, 20169144129348718287487938, 1042079079981729457107892696, 252599333573498060811820806649]], [47, [1, -120, 224138, -2869800, 34434420335, -1524660538800, 4867536660264140, -158294831119832400, 371176031520261315215, -3211680631710320736600, 26042926641073516429781258, -1447601802098444188645841160, 1252453015827223091648143056289]], [53, [1, 0, 558230, 0, 156874030999, 0, 28183915930956148, 0, 3477012674823776637871, 0, 274235458123232241305245430, 0, 10888439761782913818722623349689]], [59, [1, -136, 316418, 60550920, 82780616519, 2654037231920, 29369972794185404, 545083512654497680, 3491730579902399815679, 524552366775709718993880, 562970088684516463210052258, -49695730972243910621001194264, 75047496554032956760519149093721]], [61, [1, 0, 807486, 0, 291238309815, 0, 72313154579372420, 0, 15004706749933700653215, 0, 2143349635859660656637991006, 0, 136753052840548005895349735207881]], [67, [1, -1112, 833842, -205716328, 178814011639, -165765617119472, 153593313865898012, -49856164301703757136, 16175226202012676064991, -5596828353611493301794616, 6823094696876870867135033362, -2736697703536470318866995247816, 740195513856780056217081017732809]], [71, [1, 0, 1993522, 0, 1707171677167, 0, 802969695744376412, 0, 218689176546982452931807, 0, 32713063556487751093954386802, 0, 2102085018129621311776010144838961]], [73, [1, 0, 361278, 0, -19156046897, 0, -93754135461399356, 0, -2898965535913294275233, 0, 8274006114139907686780883838, 0, 3465863721549107204083472585375569]], [79, [1, -1400, 3723050, -3655755048, 5182006848175, -3707341378087600, 3539549306404845964, -1827863885710932216400, 1259680859215257712524175, -438148077024313439941524312, 220000650146474456746773915050, -40788187310563830072645204878600, 14364405059580771582276370834385761]], [83, [1, -2912, 5890658, -8448527520, 10018002675863, -9668828474982080, 8012966072027621564, -5528510427224578576960, 3275289535258290304292447, -1579369891223640057457390560, 629652479205806061795710175938, -177976538681369292135144263082784, 34946659039493167390823397237402409]], [89, [1, -372, 2410610, -775065540, 3148338455711, -892187187817320, 2752774312601233916, -628964309608388263080, 1564665310101413903128271, -271549175232000025555597860, 595397536738456568037070757810, -64772854945691734312999437255828, 122749609618842355502421774953773681]], [97, [1, 0, 3688174, 0, 6610702894847, 0, 7408695484892503204, 0, 5506530444310649852700863, 0, 2559011355921988551300162545134, 0, 577951262543040979328274795306257089]], [101, [1, -3196, 7136810, -13229337180, 19410313673831, -24471277754069560, 27148271894295782444, -25212781941295621737560, 20604439094257732712622431, -14468731241141654072137599180, 8041936143296142822112065908810, -3710456781362515318393591540597196, 1196147475686664860781049986817531801]], [103, [1, 0, 119562, 0, 2194292153535, 0, -287562189585031540, 0, 2620099585184031815580015, 0, 170466823153102847075634765642, 0, 1702433061239903677780481956434843889]], [107, [1, 0, 2800258, 0, 3996816756583, 0, 4823064007230120764, 0, 5998144217382784576971967, 0, 6306717514520257238033774250658, 0, 3379932275732534791891466777752413049]], [109, [1, 684, 3613146, 452061612, 7329156863415, 1395657685622808, 12789111197829402380, 1807417176954419421432, 12291729788004372397782015, 981829576996656843394075068, 10162568505639738079527582436026, 2491458002426263723062529850525916, 4717120417286669419611030657597553321]], [113, [1, 0, 3710446, 0, 6074756380063, 0, 7869090925451783204, 0, 12647349692144867355834367, 0, 16083013899013843291403813378926, 0, 9024267965168278308669913635234402529]]]}