# Euler Factors of 18-87e18-1.1-c1e9-0-2 downloaded from the LMFDB on 14 January 2025. {"bad_lfactors": [[3, [1]], [29, [1]]], "first_lfactors": [[2, [1, -1, 4, -7, 18, -27, 55, -78, 134, -183, 268, -312, 440, -432, 576, -448, 512, -256, 512]], [3, [1]], [5, [1, 0, 18, -24, 177, -337, 1492, -2633, 9457, -15649, 47285, -65825, 186500, -210625, 553125, -375000, 1406250, 0, 1953125]], [7, [1, -5, 31, -128, 463, -1405, 4100, -9956, 25827, -65596, 180789, -487844, 1406300, -3373405, 7781641, -15059072, 25529833, -28824005, 40353607]], [11, [1, -3, 49, -52, 991, 513, 13154, 27866, 138787, 445824, 1526657, 3371786, 17507974, 7510833, 159601541, -92121172, 954871379, -643076643, 2357947691]], [13, [1, -5, 102, -429, 4788, -17120, 135677, -412188, 2557299, -6530585, 33244887, -69659772, 298082369, -488964320, 1777750884, -2070701061, 6400348734, -4078653605, 10604499373]], [17, [1, -16, 190, -1544, 11104, -66663, 376150, -1868520, 8820919, -37225411, 149955623, -540002280, 1848024950, -5567760423, 15766092128, -37268406536, 77964347870, -111612119056, 118587876497]], [19, [1, -1, 144, -154, 9521, -10329, 382344, -394400, 10349226, -9381584, 196635294, -142378400, 2622497496, -1346085609, 23574938579, -7245065674, 128717530416, -16983563041, 322687697779]], [23, [1, -10, 184, -1416, 15023, -94178, 734858, -3853590, 24114842, -106498388, 554641366, -2038549110, 8941017286, -26354865698, 96693180889, -209618818824, 626487882248, -783109852810, 1801152661463]], [29, [1]], [31, [1, -4, 95, -604, 4724, -31293, 171357, -961972, 4798255, -27630886, 148745905, -924455092, 5104896387, -28899742653, 135244109324, -536052223324, 2613698340545, -3411564149764, 26439622160671]], [37, [1, 25, 476, 6436, 74730, 726039, 6338716, 48776974, 344118462, 2179787403, 12732383094, 66775677406, 321074981548, 1360713978279, 5182073906610, 16513015168324, 45187573515308, 87811986348025, 129961739795077]], [41, [1, -34, 788, -12970, 175640, -1971845, 19301782, -164588816, 1253221727, -8463182695, 51382090807, -276673799696, 1330298117222, -5571962699045, 20348983143640, -61608852005770, 153466367818228, -271487457790114, 327381934393961]], [43, [1, 12, 217, 2702, 28804, 281927, 2520869, 19935336, 147994305, 1019469718, 6363755115, 36860436264, 200426731583, 963852309527, 4234431192172, 17080322958398, 58984638610219, 140258403331212, 502592611936843]], [47, [1, -8, 268, -2089, 38781, -267015, 3604314, -21845867, 235040160, -1222532802, 11046887520, -48257520203, 374210692422, -1302948022215, 8894228716467, -22517780822281, 135774996284084, -190490293294088, 1119130473102767]], [53, [1, -32, 777, -13556, 199931, -2475132, 27002767, -258706391, 2223873503, -17047663403, 117865295659, -726706252319, 4020090942659, -19529982018492, 83610243110983, -300460079464724, 912750555653349, -1992310093163552, 3299763591802133]], [59, [1, 10, 263, 1652, 30369, 110304, 2000488, 1128580, 96017121, -142377228, 5665010139, 3928586980, 410858224952, 1336593387744, 21711536036331, 69682241574932, 654515340507397, 1468304376043210, 8662995818654939]], [61, [1, 51, 1613, 36289, 649772, 9576025, 120261378, 1302879380, 12352053601, 102748700237, 753475269661, 4848014172980, 27297047839818, 132588119562025, 548795027693372, 1869622865186329, 5069244194501873, 9777072962861331, 11694146092834141]], [67, [1, -7, 271, -2196, 43720, -328746, 4849035, -33932684, 408787801, -2583256998, 27388782667, -152323818476, 1458410313705, -6624600424266, 59027469678040, -198646607243124, 1642452845042533, -2842473742896487, 27206534396294947]], [71, [1, 7, 403, 2578, 79996, 463984, 10354421, 54242872, 972589151, 4513565462, 69053829721, 273438317752, 3705961174531, 11790613397104, 144331131162596, 330242531948338, 3665333423831573, 4520274718720327, 45848500718449031]], [73, [1, 17, 401, 6426, 92991, 1179384, 13953041, 144174105, 1416502918, 12512366475, 103404713014, 768303805545, 5427970150697, 33492431063544, 192777000504663, 972473738133114, 4430006806157897, 13709821562199377, 58871586708267913]], [79, [1, 13, 543, 6692, 144736, 1578690, 24184789, 226132206, 2738544831, 21609843142, 216345041649, 1411291097646, 11924044183771, 61490103373890, 445360834965664, 1626741252346532, 10427722579484337, 19722414528785293, 119851595982618319]], [83, [1, -31, 1023, -20178, 391292, -5722828, 81071705, -933533148, 10375704955, -96245293542, 861183511265, -6431109856572, 46355746986835, -271595808251788, 1541315091280756, -6597002853839682, 27760180162388421, -69821059196310271, 186940255267540403]], [89, [1, 32, 894, 16539, 282952, 3946842, 51974585, 593765484, 6445461922, 62230806243, 573646111058, 4703216398764, 36640471212865, 247633711952922, 1580020789213448, 8219573571203979, 39542813396602926, 125970841782466592, 350356403707485209]], [97, [1, 16, 446, 5487, 94470, 931906, 13217605, 110931128, 1428628652, 11184892691, 138576979244, 1043750983352, 12063351208165, 82500968139586, 811246034078790, 4570517391045423, 36036034877238398, 125398937510031376, 760231058654565217]], [101, [1, -33, 1090, -23446, 466980, -7542181, 111933296, -1438771186, 17014486414, -178189212619, 1718463127814, -14676904868386, 115324986802096, -784842379274581, 4908006731956980, -24888401450991046, 116862753379664090, -357342712857266433, 1093685272684360901]], [103, [1, -30, 963, -17314, 319848, -4160247, 57413755, -606833508, 7182366865, -67869156114, 739783787095, -6437896686372, 62737560259885, -468239465027607, 3707914941167064, -20673821462103106, 118436853240414981, -380031024416284830, 1304773183829244583]], [107, [1, -8, 354, -3034, 84510, -678512, 14499009, -108233504, 1963631156, -13134879476, 210108533692, -1239165387296, 17761909482387, -88939082233712, 1185296467614570, -4553215887509866, 56844664267336422, -137454894386553608, 1838459212420154507]], [109, [1, -22, 484, -7606, 123761, -1633311, 21674782, -251306651, 2952710881, -30958534197, 321845486029, -2985774320531, 28069471258678, -230555177101071, 1904216392823789, -12756023443056646, 88477093447527796, -438363781171842262, 2171893279442309389]], [113, [1, -56, 2098, -57538, 1291658, -24367383, 398207860, -5699636230, 72241044975, -813604921685, 8163238082175, -72778655020870, 574572926570420, -3973037492626263, 23797961388242794, -119791339941616642, 493576629798026066, -1488728748027601976, 3004041937984268273]]]}