# Euler Factors of 8-3312e4-1.1-c1e4-0-1 downloaded from the LMFDB on 17 August 2026.
{"bad_lfactors": [[2, [1]], [3, [1]], [23, [1, -4, 6, -4, 1]]], "first_lfactors": [[2, [1]], [3, [1]], [5, [1, -4, 12, -36, 106, -180, 300, -500, 625]], [7, [1, 2, 2, -6, 2, -42, 98, 686, 2401]], [11, [1, 2, 22, -6, 194, -66, 2662, 2662, 14641]], [13, [1, -4, 32, -108, 526, -1404, 5408, -8788, 28561]], [17, [1, -2, 46, -30, 938, -510, 13294, -9826, 83521]], [19, [1, 8, 60, 216, 1114, 4104, 21660, 54872, 130321]], [23, [1, -4, 6, -4, 1]], [29, [1, -12, 144, -996, 6574, -28884, 121104, -292668, 707281]], [31, [1, 12, 152, 1068, 7406, 33108, 146072, 357492, 923521]], [37, [1, -14, 138, -938, 5882, -34706, 188922, -709142, 1874161]], [41, [1, -4, 88, -108, 3662, -4428, 147928, -275684, 2825761]], [43, [1, 4, 28, 220, 3178, 9460, 51772, 318028, 3418801]], [47, [1, -12, 132, -972, 8006, -45684, 291588, -1245876, 4879681]], [53, [1, -8, 140, -920, 10906, -48760, 393260, -1191016, 7890481]], [59, [1, -16, 144, -912, 5166, -53808, 501264, -3286064, 12117361]], [61, [1, -6, 234, -1090, 21114, -66490, 870714, -1361886, 13845841]], [67, [1, 8, 140, 696, 10906, 46632, 628460, 2406104, 20151121]], [71, [1, -12, 256, -2396, 26398, -170116, 1290496, -4294932, 25411681]], [73, [1, -16, 224, -2112, 21950, -154176, 1193696, -6224272, 28398241]], [79, [1, 10, 282, 2082, 32722, 164478, 1759962, 4930390, 38950081]], [83, [1, -14, 382, -3542, 49650, -293986, 2631598, -8005018, 47458321]], [89, [1, -14, 230, -2954, 28234, -262906, 1821830, -9869566, 62742241]], [97, [1, -4, 284, -1116, 37766, -108252, 2672156, -3650692, 88529281]], [101, [1, -32, 712, -10752, 124574, -1085952, 7263112, -32969632, 104060401]], [103, [1, 22, 450, 5542, 66626, 570826, 4774050, 24039994, 112550881]], [107, [1, -14, 318, -2982, 44658, -319074, 3640782, -17150602, 131079601]], [109, [1, -6, 146, -1506, 25322, -164154, 1734626, -7770174, 141158161]], [113, [1, 18, 406, 5974, 66346, 675062, 5184214, 25972146, 163047361]]]}