# Euler Factors of 16-7168e8-1.1-c1e8-0-1 downloaded from the LMFDB on 18 April 2024.
{"bad_lfactors": [[2, [1]], [7, [1, -8, 28, -56, 70, -56, 28, -8, 1]]], "first_lfactors": [[2, [1]], [3, [1, 0, 6, 4, 22, 36, 58, 176, 130, 528, 522, 972, 1782, 972, 4374, 0, 6561]], [5, [1, -8, 46, -196, 718, -2276, 6522, -16768, 39442, -83840, 163050, -284500, 448750, -612500, 718750, -625000, 390625]], [7, [1, -8, 28, -56, 70, -56, 28, -8, 1]], [11, [1, -12, 120, -836, 5008, -25012, 110776, -431548, 1515358, -4747028, 13403896, -33290972, 73322128, -134638636, 212587320, -233846052, 214358881]], [13, [1, -20, 242, -2104, 14614, -84480, 420214, -1824420, 6996354, -23717460, 71016166, -185602560, 417390454, -781200472, 1168087778, -1254970340, 815730721]], [17, [1, -4, 36, -204, 1420, -6148, 35260, -140460, 681382, -2387820, 10190140, -30205124, 118599820, -289650828, 868952484, -1641354692, 6975757441]], [19, [1, -4, 106, -392, 5390, -17608, 173462, -487988, 3893458, -9271772, 62619782, -120773272, 702430190, -970630808, 4986863386, -3575486956, 16983563041]], [23, [1, -8, 100, -600, 4648, -25432, 158988, -793096, 4198990, -18241208, 84104652, -309431144, 1300700968, -3861805800, 14803588900, -27238603576, 78310985281]], [29, [1, -8, 136, -744, 8404, -35416, 338520, -1205752, 10809670, -34966808, 284695320, -863760824, 5943989524, -15260294856, 80895971656, -137999010472, 500246412961]], [31, [1, 4, 116, 292, 7660, 17236, 363628, 667188, 12635238, 20682828, 349446508, 513477676, 7074170860, 8359712092, 102950426996, 110050456444, 852891037441]], [37, [1, -8, 128, -968, 10276, -66296, 581248, -3372408, 24790566, -124779096, 795728512, -3358091288, 19258878436, -67124950376, 328412980352, -759455017064, 3512479453921]], [41, [1, 12, 252, 2020, 23932, 134252, 1230436, 5322212, 49511686, 218210692, 2068362916, 9252782092, 67626112252, 234029526020, 1197026268732, 2337051286572, 7984925229121]], [43, [1, 4, 224, 668, 23824, 52140, 1619632, 2724756, 80014686, 117164508, 2994699568, 4145494980, 81449515024, 98201639924, 1415985322976, 1087274444428, 11688200277601]], [47, [1, -20, 444, -5796, 76348, -746420, 7220260, -55738788, 423816262, -2619723036, 15949554340, -77495563660, 372553884988, -1329283660572, 4785971606076, -10132462409260, 23811286661761]], [53, [1, -40, 944, -15976, 215620, -2431704, 23723408, -204071384, 1568992486, -10815783352, 66639053072, -362024796408, 1701345513220, -6681091196168, 20923156905776, -46988445593480, 62259690411361]], [59, [1, -4, 266, -688, 34798, -54096, 3056918, -3110036, 203887378, -183492124, 10641131558, -11110182384, 421659928078, -491867917712, 11220021948506, -9954605939276, 146830437604321]], [61, [1, 8, 366, 2292, 60526, 303652, 6159546, 25551600, 439390098, 1558647600, 22919670666, 68923234612, 838033372366, 1935814721892, 18856457016126, 25141942688168, 191707312997281]], [67, [1, -28, 552, -7860, 104224, -1197188, 12702408, -116708268, 1007083326, -7819453956, 57021109512, -360069854444, 2100230435104, -10611983341020, 49933026957288, -169699924949044, 406067677556641]], [71, [1, 16, 552, 6864, 131788, 1322128, 18146008, 148647120, 1592348710, 10553945520, 91474026328, 473204154608, 3348954615628, 12384230265264, 70711356724392, 145521922534256, 645753531245761]], [73, [1, -16, 416, -5296, 86284, -901648, 11082784, -97127472, 972956070, -7090305456, 59060155936, -350756400016, 2450313826444, -10978987156528, 62955038136224, -176758376305552, 806460091894081]], [79, [1, 0, 344, -704, 63740, -170560, 8074984, -22406016, 736732678, -1770075264, 50395975144, -84092731840, 2482678162940, -2166247704896, 83622084699224, 0, 1517108809906561]], [83, [1, 8, 246, 996, 25750, 40580, 1876234, -2703720, 123032194, -224408760, 12925376026, 23203116460, 1222051765750, 3923284480428, 80427331848774, 217088407917016, 2252292232139041]], [89, [1, -16, 744, -9648, 238652, -2520336, 43201112, -369776176, 4832582598, -32910079664, 342196008152, -1776758749584, 14973561299132, -53875005563952, 369754080474984, -707701358328464, 3936588805702081]], [97, [1, 36, 892, 16188, 246108, 3208884, 37592036, 406022892, 4110173318, 39384220524, 353703466724, 2928661786932, 21787764288348, 139011864080316, 743011028396668, 2908738241212068, 7837433594376961]], [101, [1, -12, 426, -2160, 67446, -137016, 9801630, -30978204, 1282918082, -3128798604, 99986427630, -141167721816, 7018457805846, -22701817082160, 452207584156026, -1286562422528412, 10828567056280801]], [103, [1, 28, 700, 11564, 180796, 2321084, 28761956, 312100588, 3337055622, 32146360564, 305135591204, 2536311156068, 20348749081276, 134058453952052, 835836607570300, 3443646823189636, 12667700813876161]], [107, [1, 12, 592, 6596, 152384, 1625972, 23819200, 247229436, 2796307134, 26453549652, 272706020800, 1991885616796, 19974433918784, 92512312156972, 888432368294608, 1926937771774116, 17181861798319201]], [109, [1, -16, 560, -6672, 139620, -1388784, 22934800, -202766192, 2850026726, -22101514928, 272488358800, -1798515554736, 19708502438820, -102656990270928, 939176062070960, -2924862593306704, 19925626416901921]], [113, [1, 4, 536, 1988, 141056, 535196, 24671544, 93305116, 3197616414, 10543478108, 315030945336, 772232702812, 22998808553216, 36627611364484, 1115926139398424, 941042192179268, 26584441929064321]]]}