# Euler Factors of 8-7440e4-1.1-c1e4-0-3 downloaded from the LMFDB on 25 August 2026. {"bad_lfactors": [[2, [1]], [3, [1, -4, 6, -4, 1]], [5, [1, -4, 6, -4, 1]], [31, [1, -4, 6, -4, 1]]], "first_lfactors": [[2, [1]], [3, [1, -4, 6, -4, 1]], [5, [1, -4, 6, -4, 1]], [7, [1, -1, 12, 9, 72, 63, 588, -343, 2401]], [11, [1, 1, 18, -11, 210, -121, 2178, 1331, 14641]], [13, [1, -10, 80, -404, 1730, -5252, 13520, -21970, 28561]], [17, [1, -12, 92, -512, 2326, -8704, 26588, -58956, 83521]], [19, [1, 5, 60, 269, 1590, 5111, 21660, 34295, 130321]], [23, [1, 1, 70, 13, 2126, 299, 37030, 12167, 279841]], [29, [1, -2, 50, 128, 882, 3712, 42050, -48778, 707281]], [31, [1, -4, 6, -4, 1]], [37, [1, -2, 140, -212, 7630, -7844, 191660, -101306, 1874161]], [41, [1, -4, 76, -316, 4918, -12956, 127756, -275684, 2825761]], [43, [1, -9, 102, -749, 6938, -32207, 188598, -715563, 3418801]], [47, [1, 0, 88, -340, 4022, -15980, 194392, 0, 4879681]], [53, [1, -13, 100, -907, 8954, -48071, 280900, -1935401, 7890481]], [59, [1, -6, 226, -1004, 19790, -59236, 786706, -1232274, 12117361]], [61, [1, 0, 92, -64, 6550, -3904, 342332, 0, 13845841]], [67, [1, -8, 144, -1346, 13306, -90182, 646416, -2406104, 20151121]], [71, [1, -9, 96, 707, -4836, 50197, 483936, -3221199, 25411681]], [73, [1, -7, 174, -1695, 15380, -123735, 927246, -2723119, 28398241]], [79, [1, 5, 172, 813, 20122, 64227, 1073452, 2465195, 38950081]], [83, [1, 2, 160, 446, 14350, 37018, 1102240, 1143574, 47458321]], [89, [1, -5, 162, -275, 11628, -24475, 1283202, -3524845, 62742241]], [97, [1, -6, 100, -2, 10534, -194, 940900, -5476038, 88529281]], [101, [1, 3, 172, -595, 15446, -60095, 1754572, 3090903, 104060401]], [103, [1, 22, 496, 6416, 80862, 660848, 5262064, 24039994, 112550881]], [107, [1, -1, 326, 247, 46022, 26429, 3732374, -1225043, 131079601]], [109, [1, 2, 308, 1274, 42598, 138866, 3659348, 2590058, 141158161]], [113, [1, -15, 446, -4769, 75186, -538897, 5694974, -21643455, 163047361]]]}