# Euler Factors of 16-31e16-1.1-c1e8-0-5 downloaded from the LMFDB on 16 December 2025. {"bad_lfactors": [[31, [1]]], "first_lfactors": [[2, [1, 8, 24, 18, -82, -252, -199, 374, 1053, 748, -796, -2016, -1312, 576, 1536, 1024, 256]], [3, [1, 0, 2, 0, 15, 0, 22, 0, 169, 0, 198, 0, 1215, 0, 1458, 0, 6561]], [5, [1, 0, 20, 0, 250, 0, 2000, 0, 11875, 0, 50000, 0, 156250, 0, 312500, 0, 390625]], [7, [1, -2, -11, 38, 68, -32, -949, -436, 12223, -3052, -46501, -10976, 163268, 638666, -1294139, -1647086, 5764801]], [11, [1, 0, -4, 0, -105, 0, 904, 0, 9089, 0, 109384, 0, -1537305, 0, -7086244, 0, 214358881]], [13, [1, 0, 46, 0, 1047, 0, 17438, 0, 244505, 0, 2947022, 0, 29903367, 0, 222033214, 0, 815730721]], [17, [1, 0, -12, 0, 575, 0, -13122, 0, 166429, 0, -3792258, 0, 48024575, 0, -289650828, 0, 6975757441]], [19, [1, 2, -35, -110, 860, 536, -24013, 3460, 653335, 65740, -8668693, 3676424, 112076060, -272370890, -1646605835, 1787743478, 16983563041]], [23, [1, 0, -64, 0, 1047, 0, 18958, 0, -981475, 0, 10028782, 0, 292993527, 0, -9474296896, 0, 78310985281]], [29, [1, 0, -36, 0, 1895, 0, -82914, 0, 2002669, 0, -69730674, 0, 1340297495, 0, -21413639556, 0, 500246412961]], [31, [1]], [37, [1, 0, 224, 0, 24292, 0, 1622432, 0, 72597670, 0, 2221109408, 0, 45527119012, 0, 574722715616, 0, 3512479453921]], [41, [1, -14, 105, -1170, 14180, -109332, 691343, -5609540, 43250535, -229991140, 1162147583, -7535270772, 40069290980, -135551755170, 498760945305, -2726559834334, 7984925229121]], [43, [1, 0, -144, 0, 6287, 0, 99078, 0, -15616595, 0, 183195222, 0, 21494001887, 0, -910276279056, 0, 11688200277601]], [47, [1, -36, 518, -3792, 15051, -47556, 728320, -12855456, 120735269, -604206432, 1608858880, -4937406588, 73444078731, -869676266544, 5583633540422, -18238432336668, 23811286661761]], [53, [1, 0, 182, 0, 16635, 0, 1141492, 0, 65975189, 0, 3206451028, 0, 131258151435, 0, 4033913725478, 0, 62259690411361]], [59, [1, 46, 909, 10446, 84476, 634968, 6101651, 66790348, 599587527, 3940630532, 21239847131, 130409092872, 1023626187836, 7468099227354, 38342105079669, 114477968301674, 146830437604321]], [61, [1, 0, 60, 0, 1024, 0, 226980, 0, 34393326, 0, 844592580, 0, 14178141184, 0, 3091222461660, 0, 191707312997281]], [67, [1, -48, 1544, -34608, 621628, -9012528, 110335736, -1138037424, 10094145958, -76248507408, 495297118904, -2710634958864, 12526501044988, -46725129703056, 139667742068936, -290914157055504, 406067677556641]], [71, [1, 26, 165, -750, -8260, -37632, -544237, 8859980, 189297375, 629058580, -2743498717, -13468906752, -209900485060, -1353172013250, 21136546846965, 236473124118166, 645753531245761]], [73, [1, 0, -128, 0, 11055, 0, -732928, 0, 34902689, 0, -3905773312, 0, 313942554255, 0, -19370780964992, 0, 806460091894081]], [79, [1, 0, -230, 0, 13719, 0, 1400990, 0, -238413799, 0, 8743578590, 0, 534356161239, 0, -55910114769830, 0, 1517108809906561]], [83, [1, 0, -156, 0, 17447, 0, -1647048, 0, 136747105, 0, -11346513672, 0, 828005326487, 0, -51002698245564, 0, 2252292232139041]], [89, [1, 0, 182, 0, 24303, 0, 2899174, 0, 320768105, 0, 22964357254, 0, 1524824683023, 0, 90450594954902, 0, 3936588805702081]], [97, [1, -14, -47, 2702, -16804, 133756, -1016305, -20877724, 515718439, -2025139228, -9562413745, 122075489788, -1487646037924, 23202993374414, -39149684231663, -1131175982693582, 7837433594376961]], [101, [1, -10, -147, 810, 29108, -108060, -3574429, -1632400, 525809655, -164872400, -36462750229, -111334326060, 3028990152308, 8513181405810, -156043462138347, -1072135352107010, 10828567056280801]], [103, [1, 38, 457, 814, -19324, -198832, -820105, 57112192, 1116958039, 5882555776, -8700493945, -217269094864, -2174933224444, 9436490964802, 545681899513753, 4673520688614506, 12667700813876161]], [107, [1, -26, 93, 2118, -4444, -36456, -2457205, -20160956, 796971399, -2157222292, -28132540045, -44660167608, -582517746844, 29706045656226, 139567922721957, -4175031838843918, 17181861798319201]], [109, [1, 14, 229, 3874, 71156, 833492, 9869531, 117242512, 1474919287, 12779433808, 117259897811, 1079396311268, 10044250104116, 59606292012826, 384055925382589, 2559254769143366, 19925626416901921]], [113, [1, -34, 381, 1914, -116452, 1563516, -5216701, -154320208, 2780916783, -17438183504, -66612055069, 2255992545852, -18987191283172, 35264209331802, 793223617744029, -7998858633523778, 26584441929064321]]]}