# Euler Factors of 16-416e8-1.1-c1e8-0-2 downloaded from the LMFDB on 17 December 2025. {"bad_lfactors": [[2, [1]], [13, [1, -2, -23, -2, 508, -26, -3887, -4394, 28561]]], "first_lfactors": [[2, [1]], [3, [1, 0, -5, 0, 5, 0, -10, 0, 94, 0, -90, 0, 405, 0, -3645, 0, 6561]], [5, [1, 4, 30, 96, 449, 1176, 4070, 8884, 24756, 44420, 101750, 147000, 280625, 300000, 468750, 312500, 390625]], [7, [1, 0, -5, 0, -75, 0, -10, 0, 6374, 0, -490, 0, -180075, 0, -588245, 0, 5764801]], [11, [1, 0, -13, 0, 93, 0, 2158, 0, -29314, 0, 261118, 0, 1361613, 0, -23030293, 0, 214358881]], [13, [1, -2, -23, -2, 508, -26, -3887, -4394, 28561]], [17, [1, 8, 6, -144, -631, -2208, -6058, 49064, 445044, 834088, -1750762, -10847904, -52701751, -204459408, 144825414, 3282709384, 6975757441]], [19, [1, 0, 3, 0, -507, 0, -618, 0, 132686, 0, -223098, 0, -66072747, 0, 141137643, 0, 16983563041]], [23, [1, 0, -29, 0, -83, 0, 3886, 0, 129046, 0, 2055694, 0, -23226803, 0, -4293040781, 0, 78310985281]], [29, [1, -20, 134, -840, 11585, -85960, 343126, -2594220, 20313364, -75232380, 288568966, -2096478440, 8193850385, -17229365160, 79706325014, -344997526180, 500246412961]], [31, [1, 0, 136, 0, 10236, 0, 512312, 0, 18608006, 0, 492331832, 0, 9453160956, 0, 120700500616, 0, 852891037441]], [37, [1, -8, -74, 464, 5129, -14912, -294298, 97496, 14211364, 3607352, -402893962, -755337536, 9612571769, 32175596048, -189863754266, -759455017064, 3512479453921]], [41, [1, 0, -130, 0, 9313, 0, -549250, 0, 26327908, 0, -923289250, 0, 26316312193, 0, -617513551330, 0, 7984925229121]], [43, [1, 0, -101, 0, 5181, 0, -133522, 0, 2919950, 0, -246882178, 0, 17712807981, 0, -638457667949, 0, 11688200277601]], [47, [1, 0, 144, 0, 9948, 0, 661104, 0, 38336198, 0, 1460378736, 0, 48543066588, 0, 1552207007376, 0, 23811286661761]], [53, [1, 4, 414, 1440, 75521, 224472, 7925990, 19634548, 523367412, 1040631044, 22264105910, 33418717944, 595897015601, 602201509920, 9176045507406, 4698844559348, 62259690411361]], [59, [1, 0, -21, 0, -6627, 0, -2226, 0, 36304142, 0, -7748706, 0, -80301751347, 0, -885791206461, 0, 146830437604321]], [61, [1, -12, -18, 1032, -7415, 47448, -229554, -4063428, 68542788, -247869108, -854170434, 10769794488, -102666911015, 871623382632, -927366738498, -37712914032252, 191707312997281]], [67, [1, 0, -149, 0, 8901, 0, -643978, 0, 57078590, 0, -2890817242, 0, 179365128021, 0, -13478298943181, 0, 406067677556641]], [71, [1, 0, -205, 0, 21645, 0, -2111090, 0, 178084694, 0, -10642004690, 0, 550035835245, 0, -26260558203805, 0, 645753531245761]], [73, [1, 84, 3518, 98112, 2040913, 33517512, 448653926, 4986235716, 46458623428, 363995207268, 2390876771654, 13038881965704, 57958339234033, 203393200132416, 532393808084702, 927981475604148, 806460091894081]], [79, [1, 0, -128, 0, 24444, 0, -2101120, 0, 232536710, 0, -13113089920, 0, 952095779964, 0, -31115194306688, 0, 1517108809906561]], [83, [1, 0, 504, 0, 120636, 0, 17869320, 0, 1785891110, 0, 123101745480, 0, 5725182012156, 0, 164777948177976, 0, 2252292232139041]], [89, [1, 18, -77, -1746, 24265, 185220, -3139058, 311544, 452851714, 27727416, -24864478418, 130574358180, 1522440477865, -9749767797954, -38267559403997, 796164028119522, 3936588805702081]], [97, [1, 2, -173, -386, 3833, -5644, -1339906, 2350792, 326601778, 228026824, -12607175554, -5151126412, 339332734073, -3314713339202, -144104156852717, 161596568956226, 7837433594376961]], [101, [1, 16, -210, -2208, 66113, 380352, -9311602, -6034160, 1286335092, -609450160, -94987652002, 391877045952, 6879745291313, -23206301906208, -222919231626210, 1715416563371216, 10828567056280801]], [103, [1, 0, 456, 0, 119868, 0, 20315256, 0, 2480157638, 0, 215524550904, 0, 13491249003708, 0, 544487847217224, 0, 12667700813876161]], [107, [1, 0, -309, 0, 49941, 0, -6996378, 0, 849650030, 0, -80101531722, 0, 6546246353541, 0, -463725678721341, 0, 17181861798319201]], [109, [1, 24, 1056, 18600, 451228, 6142680, 104550624, 1121275944, 14522745318, 122219077896, 1242165963744, 7954948737720, 63694514671708, 286184055611400, 1771017717048096, 4387293889960056, 19925626416901921]], [113, [1, 16, 14, -2592, -41071, -386176, -814802, 50650512, 944148004, 5723507856, -10404206738, -557212191872, -6696518163631, -47755919847456, 29147324536526, 3764168768717072, 26584441929064321]]]}