# Euler Factors of 12-200e6-1.1-c2e6-0-1 downloaded from the LMFDB on 17 April 2026. {"bad_lfactors": [[2, [1, -3, 8, -14, 32, -48, 64]], [5, [1]]], "first_lfactors": [[2, [1, -3, 8, -14, 32, -48, 64]], [3, [1, 2, 33, 78, 590, 1186, 6757, 10674, 47790, 56862, 216513, 118098, 531441]], [5, [1]], [7, [1, 0, -78, 0, 6879, 0, -314724, 0, 16516479, 0, -449654478, 0, 13841287201]], [11, [1, -30, 865, -16754, 287150, -3890110, 47707301, -470703310, 4204163150, -29680732994, 185420432065, -778122738030, 3138428376721]], [13, [1, 0, -398, 0, 116079, 0, -22631204, 0, 3315332319, 0, -324660826958, 0, 23298085122481]], [17, [1, -2, 1093, -4358, 616970, -2265866, 223419917, -654835274, 51529951370, -105191525702, 7624502883013, -4031987800898, 582622237229761]], [19, [1, 2, 1217, 3406, 810830, 2031138, 362448837, 733240818, 105668176430, 160238270686, 20668996220897, 12262132515602, 2213314919066161]], [23, [1, 0, -38, 0, 249839, 0, -186877524, 0, 69915195599, 0, -2975817440678, 0, 21914624432020321]], [29, [1, 0, -2126, 0, 3163695, 0, -3151366820, 0, 2237621363295, 0, -1063523873955086, 0, 353814783205469041]], [31, [1, 0, -166, 0, 422415, 0, -78680020, 0, 390109123215, 0, -141579912215206, 0, 787662783788549761]], [37, [1, 0, -4878, 0, 11381519, 0, -18009516964, 0, 21330799030559, 0, -17133874776226638, 0, 6582952005840035281]], [41, [1, 70, 5845, 344146, 19487930, 891071230, 42684926861, 1497890737630, 55068232564730, 1634729374123186, 46671887964212245, 939586151710668070, 22563490300366186081]], [43, [1, 76, 8730, 517916, 35903087, 1649895672, 86120076364, 3050657097528, 122745509738687, 3273935064885884, 102037988423456730, 1642472655809602924, 39959630797262576401]], [47, [1, 0, -8078, 0, 32098559, 0, -84067879524, 0, 156630728479679, 0, -192347573653705358, 0, 116191483108948578241]], [53, [1, 0, -7318, 0, 23442399, 0, -56470960564, 0, 184971803903919, 0, -455616414430339798, 0, 491258904256726154641]], [59, [1, 44, 19162, 730748, 159271343, 4950473528, 728868003788, 17232598350968, 1929948360085823, 30823340597093468, 2813564845373999002, 22489137145228221644, 1779197418239532716881]], [61, [1, 0, -4526, 0, 43251375, 0, -123231264740, 0, 598851661281375, 0, -867667298625693806, 0, 2654348974297586158321]], [67, [1, 18, 9793, 212702, 68305550, 1363522354, 399813740357, 6120851847106, 1376433403021550, 19240678804110638, 3976620766312185313, 32811080481931706082, 8182718904632857144561]], [71, [1, 0, -10286, 0, 75091935, 0, -379525698980, 0, 1908212297892735, 0, -6642220822393897646, 0, 16409682740640811134241]], [73, [1, -18, 11413, -607702, 97043210, -3920037914, 713365329917, -20889882043706, 2755856464993610, -91966111984277878, 9204129028787146453, -77357264934664037682, 22902048046490258711521]], [79, [1, 0, -29166, 0, 396253055, 0, -3149992522660, 0, 15434088588747455, 0, -44247995549734758126, 0, 59091511031674153381441]], [83, [1, -398, 101873, -18138082, 2541887150, -283163805294, 26023760462997, -1950715454670366, 120633696310475150, -5930071301277538258, 229447766564700523793, -6175384392507929672702, 106890007738661124410161]], [89, [1, -98, 45957, -3491974, 885817130, -52622730282, 9269672612557, -416824646563722, 55578151852388330, -1735445746522247014, 180913811743650536517, -3055808553136685992898, 246990403565262140303521]], [97, [1, -76, 33730, -2419996, 609714287, -37532491672, 7181409156764, -353143214141848, 53977567443537647, -2015788920040160284, 264356635138334894530, -5604423364401454779724, 693842360995438000295041]], [101, [1, 0, -43086, 0, 892858895, 0, -11299264202020, 0, 92911254650116895, 0, -466559640186914591886, 0, 1126825030131969720661201]], [103, [1, 0, -35118, 0, 701067359, 0, -9065037543844, 0, 78905748895793279, 0, -444864317181703021998, 0, 1425760886846178945447841]], [107, [1, 258, 95793, 16252942, 3251932110, 389851198434, 52355718376917, 4463406370870866, 426261963457888110, 24391283366241389758, 1645902087246391221393, 50752505018070785320242, 2252191588960823337718801]], [109, [1, 0, -31406, 0, 289571055, 0, -1359308997860, 0, 40875317602629855, 0, -625784223249221730926, 0, 2812664781782894485727281]], [113, [1, -58, 52373, -3709262, 1386129050, -85606510914, 22618861553037, -1093109537860866, 226004683607937050, -7722504521785964558, 1392306977150885683733, -19688490861548894261242, 4334523100191686738306881]]]}