# Euler Factors of 12-57e12-1.1-c1e6-0-3 downloaded from the LMFDB on 11 December 2025. {"bad_lfactors": [[3, [1]], [19, [1]]], "first_lfactors": [[2, [1, 0, 3, 1, 6, 6, 8, 12, 24, 8, 48, 0, 64]], [3, [1]], [5, [1, 9, 48, 188, 609, 1695, 4076, 8475, 15225, 23500, 30000, 28125, 15625]], [7, [1, -9, 57, -252, 984, -3186, 9257, -22302, 48216, -86436, 136857, -151263, 117649]], [11, [1, 9, 72, 324, 1413, 4311, 15868, 47421, 170973, 431244, 1054152, 1449459, 1771561]], [13, [1, 3, 66, 156, 1929, 3657, 32297, 47541, 326001, 342732, 1885026, 1113879, 4826809]], [17, [1, 15, 138, 900, 4983, 24117, 105892, 409989, 1440087, 4421700, 11525898, 21297855, 24137569]], [19, [1]], [23, [1, 6, 99, 395, 4065, 12417, 108158, 285591, 2150385, 4805965, 27704259, 38618058, 148035889]], [29, [1, 15, 249, 2300, 21231, 136605, 861062, 3961545, 17855271, 56094700, 176112969, 307667235, 594823321]], [31, [1, 0, 150, 10, 10266, 750, 407343, 23250, 9865626, 297910, 138528150, 0, 887503681]], [37, [1, -6, 138, -248, 5688, 14688, 146841, 543456, 7786872, -12561944, 258634218, -416063742, 2565726409]], [41, [1, -6, 159, -635, 11889, -35895, 577886, -1471695, 19985409, -43764835, 449295999, -695137206, 4750104241]], [43, [1, -15, 192, -1678, 15297, -108039, 788787, -4645677, 28284153, -133412746, 656409792, -2205126645, 6321363049]], [47, [1, 9, 282, 1926, 32541, 171513, 2020408, 8061111, 71883069, 199963098, 1376070042, 2064105063, 10779215329]], [53, [1, 6, 219, 1323, 21777, 126951, 1374406, 6728403, 61171593, 196964271, 1728015339, 2509172958, 22164361129]], [59, [1, 15, 378, 3870, 55179, 421431, 4291516, 24864429, 192078099, 794816730, 4580362458, 10723864485, 42180533641]], [61, [1, -3, 213, -584, 21186, -52218, 1453581, -3185298, 78833106, -132556904, 2949164133, -2533788903, 51520374361]], [67, [1, -18, 357, -4373, 54933, -510171, 4792818, -34181457, 246594237, -1315236599, 7193950197, -24302251926, 90458382169]], [71, [1, 15, 387, 4446, 64233, 581379, 5950702, 41277909, 323798553, 1591272306, 9834320547, 27063440265, 128100283921]], [73, [1, 6, 300, 2038, 43782, 286698, 3940299, 20928954, 233314278, 792816646, 8519472300, 12438429558, 151334226289]], [79, [1, 21, 420, 6402, 81501, 888861, 8552927, 70220019, 508647741, 3156435678, 16359034020, 64618184379, 243087455521]], [83, [1, -3, 222, -1246, 34209, -157407, 3488216, -13064781, 235665801, -712446602, 10535747262, -11817121929, 326940373369]], [89, [1, 24, 531, 7099, 93819, 932253, 9844202, 82970517, 743140299, 5004574931, 33316129971, 134017426776, 496981290961]], [97, [1, -3, 306, 110, 38589, 171843, 3552945, 16668771, 363083901, 100394030, 27089959986, -25762020771, 832972004929]], [101, [1, 21, 537, 7528, 117099, 1263579, 14885726, 127621479, 1194526899, 7756105928, 55880435337, 220712110521, 1061520150601]], [103, [1, 27, 807, 13960, 235284, 2879778, 33533049, 296617134, 2496127956, 15254468920, 90828560967, 313004000061, 1194052296529]], [107, [1, 0, 210, -80, 40839, 816, 4503356, 87312, 467565711, -98003440, 27526716210, 0, 1500730351849]], [109, [1, 24, 696, 11515, 192093, 2346366, 27944487, 255753894, 2282256933, 14912258935, 98246080056, 369269749176, 1677100110841]], [113, [1, 0, 126, -720, 34335, -91440, 3173572, -10332720, 438423615, -1038885840, 20543967486, 0, 2081951752609]]]}