# Euler Factors of 16-1503e8-1.1-c1e8-0-1 downloaded from the LMFDB on 18 May 2024. {"bad_lfactors": [[3, [1]], [167, [1, -8, 28, -56, 70, -56, 28, -8, 1]]], "first_lfactors": [[2, [1, 3, 8, 14, 25, 36, 57, 81, 125, 162, 228, 288, 400, 448, 512, 384, 256]], [3, [1]], [5, [1, 7, 47, 195, 785, 2416, 7321, 18114, 44442, 90570, 183025, 302000, 490625, 609375, 734375, 546875, 390625]], [7, [1, 4, 37, 131, 637, 2096, 7091, 21477, 57412, 150339, 347459, 718928, 1529437, 2201717, 4353013, 3294172, 5764801]], [11, [1, 13, 129, 897, 5403, 26878, 120351, 466726, 1652716, 5133986, 14562471, 35774618, 79105323, 144462747, 228531369, 253333223, 214358881]], [13, [1, 0, 67, -52, 2166, -2407, 46871, -49521, 723870, -643773, 7921199, -5288179, 61863126, -19307236, 323396203, 0, 815730721]], [17, [1, 11, 116, 683, 4251, 18412, 96214, 371378, 1794794, 6313426, 27805846, 90458156, 355047771, 969762331, 2799958004, 4513725403, 6975757441]], [19, [1, -12, 157, -1298, 10390, -65307, 390291, -1947317, 9226946, -36999023, 140895051, -447940713, 1354035190, -3213976502, 7386203317, -10726460868, 16983563041]], [23, [1, 7, 165, 1013, 12309, 65238, 541223, 2417292, 15329148, 55597716, 286306967, 793750746, 3444562869, 6520015459, 24425921685, 23833778129, 78310985281]], [29, [1, 1, 129, 195, 6633, 16732, 181393, 805780, 4241976, 23367620, 152551513, 408076748, 4691394873, 3999674055, 76732208409, 17249876309, 500246412961]], [31, [1, 2, 42, -147, 2272, 556, 120062, -147459, 2714766, -4571229, 115379582, 16563796, 2098239712, -4208485197, 37275154602, 55025228222, 852891037441]], [37, [1, 9, 189, 1437, 17491, 112148, 1044441, 5719578, 44753916, 211624386, 1429839729, 5680632644, 32780950051, 99647266209, 484922291301, 854386894197, 3512479453921]], [41, [1, 4, 140, 355, 11350, 28966, 691586, 1546337, 31338264, 63399817, 1162556066, 1996365686, 32072387350, 41128951355, 665014593740, 779017095524, 7984925229121]], [43, [1, -2, 306, -625, 42368, -81466, 3468520, -5843465, 183436652, -251268995, 6413293480, -6477117262, 144847760768, -91880276875, 1934337092994, -543637222214, 11688200277601]], [47, [1, 17, 343, 3782, 46162, 389283, 3631945, 25382322, 198853598, 1192969134, 8022966505, 40416528909, 225255834322, 867382816474, 3697270857847, 8612593047871, 23811286661761]], [53, [1, 9, 371, 2932, 62840, 427509, 6314527, 36165056, 411010840, 1916747968, 17737506343, 63646257393, 495837826040, 1226149185476, 8222977978859, 10572400258533, 62259690411361]], [59, [1, 29, 741, 12436, 187204, 2234733, 24274943, 220913290, 1841244926, 13033884110, 84501076583, 458967228807, 2268418448644, 8890798582364, 31255775427981, 72170893059751, 146830437604321]], [61, [1, 12, 389, 4096, 72802, 647219, 8262029, 61325593, 615125834, 3740861173, 30743009909, 146906415839, 1008004916482, 3459466448896, 20041425626429, 37712914032252, 191707312997281]], [67, [1, 0, 359, -320, 64940, -71061, 7533739, -8111583, 600908932, -543476061, 33818954371, -21372519543, 1308613797740, -432040034240, 32474559198671, 0, 406067677556641]], [71, [1, 13, 534, 5116, 118293, 877603, 15080094, 90574920, 1280201724, 6430819320, 76018753854, 314103767333, 3006023980533, 9230437359716, 68405551613814, 118236562059083, 645753531245761]], [73, [1, 20, 415, 5020, 66722, 623383, 6619959, 52721729, 512092382, 3848686217, 35277761511, 242506584511, 1894787436002, 10406819396860, 62803703909935, 220947970381940, 806460091894081]], [79, [1, -8, 168, -573, 22756, -69216, 2102300, -2692689, 175872908, -212722431, 13120454300, -34126187424, 886348043236, -1763153316627, 40838692527528, -153631271889272, 1517108809906561]], [83, [1, 33, 921, 17544, 295768, 4076215, 50726539, 543414180, 5301266758, 45103376940, 349455127171, 2330726746205, 14036652685528, 69106529040792, 301112083872849, 895489682657691, 2252292232139041]], [89, [1, 4, 513, 2094, 127678, 487693, 19972765, 67413913, 2130074694, 5999838257, 158204271565, 343808446517, 8010803846398, 11693020486206, 254951402262993, 176925339582116, 3936588805702081]], [97, [1, 31, 826, 15984, 265829, 3793587, 48345108, 548722798, 5707233480, 53226111406, 454879121172, 3462304428051, 23533650238949, 137260046667888, 688034876071354, 2504746818821503, 7837433594376961]], [101, [1, -4, 429, -609, 92447, -14840, 14457713, -1171243, 1710465146, -118295543, 147483130313, -15289666840, 9620071891247, -6400651205109, 455392144607829, -428854140842804, 10828567056280801]], [103, [1, 5, 603, 3091, 175743, 849968, 32023461, 137138262, 3961546614, 14125240986, 339736897749, 928782982736, 19780029479583, 35833161636613, 720013534806987, 614936932712435, 12667700813876161]], [107, [1, 18, 577, 7515, 146853, 1526084, 23466743, 208147011, 2809698000, 22271730177, 268670740607, 1869518521612, 19249432645653, 105401762562105, 865921413016873, 2890406657661174, 17181861798319201]], [109, [1, 38, 1235, 27549, 535895, 8612560, 122939147, 1527148461, 16985719556, 166459182249, 1460640005507, 11153514964240, 75645952689095, 423875513335401, 2071218636888635, 6946548659103422, 19925626416901921]], [113, [1, 23, 723, 12798, 245472, 3456825, 50546173, 584291428, 6916796964, 66024931364, 645424083037, 4987842422025, 40023561799392, 235794854246814, 1505251117136307, 5410992605030791, 26584441929064321]]]}