# Euler Factors of 8-1152e4-1.1-c4e4-0-7 downloaded from the LMFDB on 17 May 2026. {"bad_lfactors": [[2, [1]], [3, [1]]], "first_lfactors": [[2, [1]], [3, [1]], [5, [1, 0, -1276, 0, 1188294, 0, -498437500, 0, 152587890625]], [7, [1, 0, -4420, 0, 16413702, 0, -25480420420, 0, 33232930569601]], [11, [1, 0, 19396, 0, 522768966, 0, 4157704855876, 0, 45949729863572161]], [13, [1, 0, -94660, 0, 3871590342, 0, -77217070049860, 0, 665416609183179841]], [17, [1, -64, 335620, -16052416, 42111186694, -1340713836736, 2341203712348420, -37287823182704704, 48661191875666868481]], [19, [1, 0, -105404, 0, 36744626886, 0, -1790135478773564, 0, 288441413567621167681]], [23, [1, 0, 207740, 0, 167410947462, 0, 16268324082274940, 0, 6132610415680998648961]], [29, [1, 0, -2475388, 0, 2532379263558, 0, -1238303967686703868, 0, 250246473680347348787521]], [31, [1, 0, -2817988, 0, 3691046166918, 0, -2403436708816288708, 0, 727423121747185263828481]], [37, [1, 0, 4743356, 0, 12649815443526, 0, 16660940492632898876, 0, 12337511914217166362274241]], [41, [1, -1856, 12594820, -16133426624, 55256404225414, -45589207750460864, 100568695974237753220, -41877837997479641366336, 63759030914653054346432641]], [43, [1, 0, 13048516, 0, 65942343005766, 0, 152513668333481090116, 0, 136614025729312093462315201]], [47, [1, 0, -7574788, 0, 61966926634758, 0, -180365448470067281668, 0, 566977372488557307219621121]], [53, [1, 0, -11193340, 0, 155842095911622, 0, -696893883069103535740, 0, 3876269050118516845397872321]], [59, [1, 0, 21991876, 0, 414571527708486, 0, 3229076776819964496196, 0, 21559177407076402401757871041]], [61, [1, 0, -19172548, 0, 475311275197638, 0, -3675517660391393841988, 0, 36751693856637464631913392961]], [67, [1, 0, 17935684, 0, 892557545250246, 0, 7283101547269805077444, 0, 164890958756244164895763202881]], [71, [1, 0, -80413060, 0, 2908072117132422, 0, -51927017453277254038660, 0, 416997623116370028124580469121]], [73, [1, -3592, 118431388, -308916048184, 5114216300400070, -8772672385096844344, 95510188049623561814428, -82264156582993009291783432, 650377879817809571042122834561]], [79, [1, 0, -7740100, 0, 3049194906815622, 0, -11742573899557772796100, 0, 2301619141096101839813550846721]], [83, [1, 0, 189480772, 0, 13480325203707078, 0, 426766070915308700019652, 0, 5072820298953863752478356399681]], [89, [1, -28288, 551048068, -6739330489216, 63776122332494470, -422840697733038173056, 2169249655892559118629508, -6986864536054135424906002048, 15496731425178936435099327730561]], [97, [1, 9464, 387704860, 2566502401736, 53002934914635334, 227210612310461231816, 3038611094467216451730460, 6566524104460825234792268024, 61425365346268570446197767595521]], [101, [1, 0, -290119420, 0, 42699453577845702, 0, -3141577593799293343255420, 0, 117257864492369852051862561201601]], [103, [1, 0, -350043460, 0, 55968007599945222, 0, -4434245823134027407957060, 0, 160470643909878751793805444097921]], [107, [1, 0, null, null, null, null, null, 0, 295216374856540727739668685278401]], [109, [1, 0, -402457540, 0, 80344270709516742, 0, -8019218590705361546934340, 0, 397030588105939686862303733490241]], [113, [1, -62336, 2109355780, -45630147672704, 693662395341499654, -7439875160074678934144, 56076046241146175493125380, -270196831973548984519097734016, 706732552679793116819634555191041]]]}