# Euler Factors of 12-378e6-1.1-c1e6-0-4 downloaded from the LMFDB on 24 February 2026. {"bad_lfactors": [[2, [1, -6, 15, -20, 15, -6, 1]], [3, [1]], [7, [1, -2, -4, 31, -28, -98, 343]]], "first_lfactors": [[2, [1, -6, 15, -20, 15, -6, 1]], [3, [1]], [5, [1, 1, -8, -17, 23, 52, -11, 260, 575, -2125, -5000, 3125, 15625]], [7, [1, -2, -4, 31, -28, -98, 343]], [11, [1, -1, -26, 23, 407, -202, -4853, -2222, 49247, 30613, -380666, -161051, 1771561]], [13, [1, -8, 24, -42, -32, 1408, -7901, 18304, -5408, -92274, 685464, -2970344, 4826809]], [17, [1, -4, -23, 68, 410, -220, -8111, -3740, 118490, 334084, -1920983, -5679428, 24137569]], [19, [1, 3, -12, -67, -153, 54, 6315, 1026, -55233, -459553, -1563852, 7428297, 47045881]], [23, [1, -7, -32, 83, 2423, -3946, -46865, -90758, 1281767, 1009861, -8954912, -45054401, 148035889]], [29, [1, -5, 4, -251, 197, 3418, 20293, 99122, 165677, -6121639, 2829124, -102555745, 594823321]], [31, [1, 40, 828, 11442, 116704, 920548, 5744215, 28536988, 112152544, 340868622, 764675388, 1145166040, 887503681]], [37, [1, -3, -105, 104, 8109, -4221, -342138, -156177, 11101221, 5267912, -196786905, -208031871, 2565726409]], [41, [1, 0, -90, -18, 4410, 810, -194177, 33210, 7413210, -1240578, -254318490, 0, 4750104241]], [43, [1, 6, -24, -418, -1314, 3474, 88971, 149382, -2429586, -33233926, -82051224, 882050658, 6321363049]], [47, [1, 18, 255, 2880, 27573, 227682, 1708639, 10701054, 60908757, 299010240, 1244318655, 4128210126, 10779215329]], [53, [1, 15, 0, 33, 13635, 60360, -225155, 3199080, 38300715, 4912941, 0, 6272932395, 22164361129]], [59, [1, 28, 628, 9226, 116636, 1140748, 9805639, 67304132, 406009916, 1894826654, 7609702708, 20017880372, 42180533641]], [61, [1, 16, 420, 4614, 67528, 547612, 5575387, 33404332, 251271688, 1047290334, 5815253220, 13513540816, 51520374361]], [67, [1, 2, 179, 24, 19693, 7198, 1677847, 482266, 88401877, 7218312, 3607050659, 2700250214, 90458382169]], [71, [1, 14, 79, -988, -6031, 67514, 1600591, 4793494, -30402271, -353616068, 2007522799, 25259210914, 128100283921]], [73, [1, -19, 134, -27, -5759, 41986, -314903, 3064978, -30689711, -10503459, 3805364294, -39388360267, 151334226289]], [79, [1, 10, 351, 2568, 57013, 344074, 5715991, 27181846, 355818133, 1266124152, 13671478431, 30770563990, 243087455521]], [83, [1, 2, -182, 2, 18788, -13564, -1721225, -1125812, 129430532, 1143574, -8637414422, 7878081286, 326940373369]], [89, [1, -9, -144, 1197, 16101, -73314, -1141967, -6524946, 127536021, 843847893, -9034882704, -50256535041, 496981290961]], [97, [1, -28, 281, -2724, 45178, -388196, 2169217, -37655012, 425079802, -2486121252, 24876727961, -240445527196, 832972004929]], [101, [1, -29, 364, -2843, 19997, -122678, 696157, -12390478, 203989397, -2929145743, 37877985964, -304792914529, 1061520150601]], [103, [1, 0, -270, -22, 45090, 2970, -5323125, 305910, 478359810, -24039994, -30388737870, 0, 1194052296529]], [107, [1, 27, 288, 1665, 9027, 19386, -481061, 2074302, 103350123, 2039696595, 37750925088, 378688967289, 1500730351849]], [109, [1, 5, -298, -507, 63817, 50038, -7953107, 5454142, 758209777, -656579703, -42065131978, 76931197745, 1677100110841]], [113, [1, -35, 544, -6473, 82973, -971966, 10198537, -109832158, 1059482237, -9339872281, 88697764384, -644852312755, 2081951752609]]]}