# Euler Factors of 12-57e12-1.1-c1e6-0-2 downloaded from the LMFDB on 09 December 2025. {"bad_lfactors": [[3, [1]], [19, [1]]], "first_lfactors": [[2, [1, 0, 0, 0, 9, 0, 1, 0, 36, 0, 0, 0, 64]], [3, [1]], [5, [1, 0, 9, 0, 63, 0, 379, 0, 1575, 0, 5625, 0, 15625]], [7, [1, 6, 39, 176, 693, 2214, 6567, 15498, 33957, 60368, 93639, 100842, 117649]], [11, [1, 0, 39, 0, 843, 0, 11311, 0, 102003, 0, 570999, 0, 1771561]], [13, [1, 18, 189, 1406, 8226, 39114, 154677, 508482, 1390194, 3088982, 5398029, 6683274, 4826809]], [17, [1, 0, 9, 0, 585, 0, 6103, 0, 169065, 0, 751689, 0, 24137569]], [19, [1]], [23, [1, 0, 108, 0, 5382, 0, 157591, 0, 2847078, 0, 30222828, 0, 148035889]], [29, [1, 0, 81, 0, 4122, 0, 136873, 0, 3466602, 0, 57289761, 0, 594823321]], [31, [1, 24, 408, 4730, 44352, 327456, 2026599, 10151136, 42622272, 140911430, 376796568, 687099624, 887503681]], [37, [1, 24, 444, 5450, 55800, 443556, 3016203, 16411572, 76390200, 276058850, 832127484, 1664254968, 2565726409]], [41, [1, 0, 0, 0, 234, 0, 87211, 0, 393354, 0, 0, 0, 4750104241]], [43, [1, -18, 369, -4138, 47034, -367362, 2839377, -15796566, 86965866, -328999966, 1261537569, -2646151974, 6321363049]], [47, [1, 0, 99, 0, 8631, 0, 438319, 0, 19065879, 0, 483088419, 0, 10779215329]], [53, [1, 0, 198, 0, 18936, 0, 1192555, 0, 53191224, 0, 1562315238, 0, 22164361129]], [59, [1, 0, 153, 0, 17757, 0, 1169119, 0, 61812117, 0, 1853956233, 0, 42180533641]], [61, [1, 18, 423, 4916, 66645, 569034, 5468727, 34711074, 247986045, 1115838596, 5856790743, 15202733418, 51520374361]], [67, [1, 0, 306, 128, 43911, 19584, 3742428, 1312128, 197116479, 38497664, 6166243026, 0, 90458382169]], [71, [1, 0, 117, 0, 8154, 0, 550837, 0, 41104314, 0, 2973166677, 0, 128100283921]], [73, [1, 0, 324, 326, 49896, 52812, 4636227, 3855276, 265895784, 126819542, 9201030084, 0, 151334226289]], [79, [1, 54, 1593, 32582, 504738, 6177654, 60981177, 488034666, 3150069858, 16064196698, 62047479033, 166161045546, 243087455521]], [83, [1, 0, 291, 0, 42819, 0, 4241671, 0, 294980091, 0, 13810371411, 0, 326940373369]], [89, [1, 0, 234, 0, 36522, 0, 3597895, 0, 289290762, 0, 14681684394, 0, 496981290961]], [97, [1, 0, 540, -34, 125280, -9180, 15968235, -890460, 1178759520, -31030882, 47805811740, 0, 832972004929]], [101, [1, 0, 441, 0, 92826, 0, 11744353, 0, 946918026, 0, 45890636841, 0, 1061520150601]], [103, [1, 42, 1227, 24980, 413361, 5475978, 61311255, 564025734, 4385346849, 27296320460, 138099930987, 486895111206, 1194052296529]], [107, [1, 0, 462, 0, 100311, 0, 13308388, 0, 1148460639, 0, 60558775662, 0, 1500730351849]], [109, [1, -18, 603, -7540, 150597, -1467702, 21384399, -159979518, 1789242957, -9764518660, 85118371083, -276952311882, 1677100110841]], [113, [1, 0, 462, 0, 108159, 0, 15266788, 0, 1381082271, 0, 75327880782, 0, 2081951752609]]]}