# Euler Factors of 12-378e6-1.1-c3e6-0-2 downloaded from the LMFDB on 20 May 2024. {"bad_lfactors": [[2, [1, 6, 24, 56, 96, 96, 64]], [3, [1]], [7, [1, -8, -154, 6811, -52822, -941192, 40353607]]], "first_lfactors": [[2, [1, 6, 24, 56, 96, 96, 64]], [3, [1]], [5, [1, 5, -242, -1291, 31349, 94946, -3671531, 11868250, 489828125, -2521484375, -59082031250, 152587890625, 3814697265625]], [7, [1, -8, -154, 6811, -52822, -941192, 40353607]], [11, [1, -29, -2564, 60061, 4759283, -58883294, -5900798285, -78373664314, 8431360150763, 141620696269151, -8046930357912644, -121140196913053879, 5559917313492231481]], [13, [1, -20, 13116, -216834, 71816956, -946572092, 210156213331, -2079618886124, 346646729573404, -2299416017045082, 305577684466460796, -1023717860281815140, 112455406951957393129]], [17, [1, -38, -10148, 214318, 64981502, -384215870, -350665294625, -1887652569310, 1568495488248638, 25415516515084046, -5912450463407614628, -108772075957373000134, 14063084452067724991009]], [19, [1, -57, -14838, 254831, 166435821, -166961520, -1338012994557, -1145189065680, 7830119828903301, 82230828712720349, -32841166769103696918, -865324240702863503043, 104127350297911241532841]], [23, [1, -14, -24188, 1111042, 287732402, -11473339118, -3133578440789, -139596117048706, 42594721924175378, 2001156255297174446, -530070935761707524348, -3732893296501477438498, 3244150909895248285300369]], [29, [1, 362, 121531, 35449820, 7643263205, 1467483172382, 258002184349975, 35790447091224598, 4546391202875203805, 514275713558280393580, 42999464417743858021771, 3123766326630542767623538, 210457284365172120330305161]], [31, [1, 88, -19176, 2427606, -74706896, -63836425952, 24418143111607, -1901750965536032, -66302645196084176, 64184985394977883626, -15104221541929230216936, 2064943055282332361835688, 699053619999045038539170241]], [37, [1, -384, 6558, 23609678, -2205845910, -979004345454, 385902155257863, -49589507110281462, -5659597105471637190, 3068354828881553955206, 43170999254298951372798, -128043366893497077921981312, 16890053810563300749953435929]], [41, [1, -432, 426972, -142024050, 75304995504, -19099646219340, 6978658947274411, -1316366717083132140, 357706578512036332464, -46496108219464636762050, 9633978580527951203376732, -671802472076344377503875632, 107178930967531784356353269521]], [43, [1, 726, 369507, 188519864, 70137886437, 23601580221762, 7530228520363527, 1876490838691631334, 443367043657810066413, 94748690849738418949352, 14765363297004102818204307, 2306553085569315810549786882, 252599333573498060811820806649]], [47, [1, -183, -263418, 21765813, 50364860037, -1987643355060, -5827318049035865, -206363096052394380, 542893671353769907173, 24358784600156356304571, -30606928097593016583087738, -2207592748200127387684907769, 1252453015827223091648143056289]], [53, [1, -396, -171222, 33593058, 26399387130, 3085597337094, -6213949690744577, 459374474754543438, 585125549933594869770, 110849149725697378392714, -84114332104645165649941302, -28962312148055333410897310172, 10888439761782913818722623349689]], [59, [1, -427, -20846, 184632833, -58389254833, -9945164910982, 19570132793727955, -2042528024252572178, -2462889927756278336953, 1599473460265415637012187, -37089149380621299016101326, -156029978861383454670349337873, 75047496554032956760519149093721]], [61, [1, 427, -325797, -168225036, 60617986357, 21366910723417, -7516285932983282, 4849882762911914077, 3123061350122630592877, -1967248147456282711754076, -864778932779230677622506837, 257261856996462252423393750727, 136753052840548005895349735207881]], [67, [1, 32, -507154, 145892682, 107477835646, -39824972320442, -19149017206317005, -11977878150013097246, 9722271131562838996174, 3969234271000720680877854, -4149898623360172032292689394, 78753890749250944427827201376, 740195513856780056217081017732809]], [71, [1, 790, 1701451, 944166712, 1282031105045, 577556027544706, 586920380116026271, 206713655374553269166, 164228548551817875481445, 43288628173467659338856072, 27920271108746048745165483691, 4639832707914539749555191135290, 2102085018129621311776010144838961]], [73, [1, -373, -1002964, 125934813, 757146856945, -40185482983214, -334578208592440487, -15632836033680960638, 114582233782919741227105, 7413982263119005177555269, -22969929716900055838341948244, -3323163687288259862996052291661, 3465863721549107204083472585375569]], [79, [1, -1364, 318072, 576829470, -209637930452, -324379754397308, 410997275277132367, -159931869728294339012, -50960351094265041425492, 69133932589307854161060930, 18795355096866661314341701752, -39739348208292188727920042467436, 14364405059580771582276370834385761]], [83, [1, 154, 2175355, 688383220, 2457194857817, 711364910178034, 1791237335227803895, 406749207895967526758, 803356204255076848275473, 128686534868691424097237660, 232523712784335170291265782155, 9412220795649337564839360066878, 34946659039493167390823397237402409]], [89, [1, -1233, -175281, 162125424, 290804803809, 425032882464177, -812862837191430722, 299635006117888395513, 144524546814657150070449, 56801680502191211482853616, -43292724927322713214541464401, -214690672440962119376151360581817, 122749609618842355502421774953773681]], [97, [1, -1180, 5633882, -5136751260, 12999765882367, -9162903095428040, 15868409066087035660, -8362734256813595550920, 10828441050642850758186943, -3905117848434971783176923420, 3909025988449700231978226179162, -747236403181411475531065626419740, 577951262543040979328274795306257089]], [101, [1, 1391, -1223924, -778324159, 3126248736533, 591520249263866, -3458968634854021355, 609443904336810403666, 3318576029620696130606333, -851241670072740870723307259, -1379148198179240908390539772724, 1614907816919667962417235867637891, 1196147475686664860781049986817531801]], [103, [1, 747, -2155275, -1395827842, 3118671234423, 1105740393793551, -3172668509659723482, 1208272383288845603577, 3723856549581714468217767, -1821238737483843762779079886, -3072906795397398326650095511275, 1163801660200771141650220065448029, 1702433061239903677780481956434843889]], [107, [1, -783, -1201200, 2033885295, -283363871259, -828215102061684, 1707777940609562731, -1014599113274951552412, -425252762215813808607891, 3739215157598633613415274565, -2705332536659740993267823761200, -2160321696380106446917388603485869, 3379932275732534791891466777752413049]], [109, [1, -1780, -820867, 856683492, 3665789654266, -465960779599292, -5748589347507512627, -603432722443691519468, 6147896235489299668497706, 1860625118883969419912906388, -2308823701427779247815495972627, -6483618778243785712063308675345220, 4717120417286669419611030657597553321]], [113, [1, 3242, 7166029, 12475320110, 19994907355274, 28979767716698162, 38358976400320467829, 41814819899120627855314, 41628432411567289319409866, 37476384800218514849791870030, 31061318237143532725622520145549, 20276344564494595440081904671941194, 9024267965168278308669913635234402529]]]}