# Euler Factors of 12-57e6-1.1-c1e6-0-2 downloaded from the LMFDB on 08 August 2026.
{"bad_lfactors": [[3, [1, 0, 0, -1, 0, 0, 1]], [19, [1, -18, 162, -883, 3078, -6498, 6859]]], "first_lfactors": [[2, [1, -3, 6, -8, 15, -27, 47, -54, 60, -64, 96, -96, 64]], [3, [1, 0, 0, -1, 0, 0, 1]], [5, [1, 6, 18, 45, 81, 87, 109, 435, 2025, 5625, 11250, 18750, 15625]], [7, [1, -3, -12, 19, 171, -126, -1161, -882, 8379, 6517, -28812, -50421, 117649]], [11, [1, -3, -6, 13, -27, 192, -61, 2112, -3267, 17303, -87846, -483153, 1771561]], [13, [1, 6, 30, 86, 288, 180, 231, 2340, 48672, 188942, 856830, 2227758, 4826809]], [17, [1, 12, 114, 809, 4965, 25191, 111881, 428247, 1434885, 3974617, 9521394, 17038284, 24137569]], [19, [1, -18, 162, -883, 3078, -6498, 6859]], [23, [1, 9, 18, -130, -603, 4725, 49121, 108675, -318987, -1581710, 5037138, 57927087, 148035889]], [29, [1, -12, 60, -26, -1200, 9792, -51073, 283968, -1009200, -634114, 42436860, -246133788, 594823321]], [31, [1, 24, 294, 2814, 23334, 160962, 949331, 4989822, 22423974, 83831874, 271515174, 687099624, 887503681]], [37, [1, -12, 240, -2010, 22668, -141888, 1124219, -5249856, 31032492, -101812530, 449798640, -832127484, 2565726409]], [41, [1, -6, 81, -351, 4257, -12003, 138106, -492123, 7156017, -24191271, 228886641, -695137206, 4750104241]], [43, [1, -18, 144, -520, 2610, -49554, 474393, -2130822, 4825890, -41343640, 492307344, -2646151974, 6321363049]], [47, [1, 33, 477, 3357, 648, -230538, -2370995, -10835286, 1431432, 348533811, 2327607837, 7568385231, 10779215329]], [53, [1, 24, 375, 4609, 47013, 413955, 3190646, 21939615, 132059517, 686174093, 2958930375, 10036691832, 22164361129]], [59, [1, 0, 54, 661, 5391, 27351, 485585, 1613709, 18766071, 135755519, 654337494, 0, 42180533641]], [61, [1, 21, 204, 872, -5166, -119673, -1122129, -7300053, -19222686, 197927432, 2824551564, 17736522321, 51520374361]], [67, [1, -30, 372, -1966, -7344, 261360, -2850267, 17511120, -32967216, -591300058, 7496217012, -40503753210, 90458382169]], [71, [1, -18, 144, -180, -4734, 88470, -842507, 6281370, -23864094, -64423980, 3659282064, -32476128318, 128100283921]], [73, [1, 27, 324, 2356, 4887, -141291, -1960287, -10314243, 26042823, 916524052, 9201030084, 55972933011, 151334226289]], [79, [1, -12, 168, -1772, 24948, -218700, 2149713, -17277300, 155700468, -873665108, 6543613608, -36924676788, 243087455521]], [83, [1, -15, -60, 603, 20985, -88800, -1199405, -7370400, 144565665, 344787561, -2847499260, -59085609645, 326940373369]], [89, [1, -45, 900, -9000, 10575, 1004445, -14638319, 89395605, 83764575, -6344721000, 56468016900, -251282675205, 496981290961]], [97, [1, -21, 210, -814, -6003, 250281, -3257067, 24277257, -56482227, -742915822, 18591149010, -180334145397, 832972004929]], [101, [1, 6, 84, 1694, 17382, 147222, 1823531, 14869422, 177313782, 1745329894, 8741073684, 63060603006, 1061520150601]], [103, [1, 15, -30, -2213, -6525, 141030, 2215215, 14526090, -69223725, -2418204851, -3376526430, 173891111145, 1194052296529]], [107, [1, -12, -141, 900, 24810, -21108, -3224045, -2258556, 284049690, 1102538700, -18482223741, -168306207684, 1500730351849]], [109, [1, 33, 384, 838, -14472, 69849, 2993355, 7613541, -171941832, 1085234302, 54204733824, 507745905117, 1677100110841]], [113, [1, 24, 702, 10952, 191967, 2250528, 28683716, 254309664, 2451226623, 15802607944, 114459247422, 442184443032, 2081951752609]]]}