# Euler Factors of 20-420e10-1.1-c1e10-0-0 downloaded from the LMFDB on 25 April 2024.
{"bad_lfactors": [[2, [1]], [3, [1, -1, -1, 4, 1, -21, 3, 36, -27, -81, 243]], [5, [1, -5, 15, -30, 45, -51, 45, -30, 15, -5, 1]], [7, [1, 5, 19, 6, -91, -533, -637, 294, 6517, 12005, 16807]]], "first_lfactors": [[2, [1]], [3, [1, -1, -1, 4, 1, -21, 3, 36, -27, -81, 243]], [5, [1, -5, 15, -30, 45, -51, 45, -30, 15, -5, 1]], [7, [1, 5, 19, 6, -91, -533, -637, 294, 6517, 12005, 16807]], [11, [1, -6, 51, -234, 1195, -3666, 12622, -19434, 25645, 184704, -509783, 2031744, 3103045, -25866654, 184798702, -590412966, 2117015395, -4559998014, 10932302931, -14147686146, 25937424601]], [13, [1, 0, -49, 0, 1364, 0, -28371, 0, 474775, 0, -6687888, 0, 80236975, 0, -810304131, 0, 6583767476, 0, -39970805329, 0, 137858491849]], [17, [1, 6, -15, -138, 193, 2754, 4928, -30306, -220151, 325680, 6075881, 5536560, -63623639, -148893378, 411591488, 3910286178, 4658550817, -56626736874, -104636361615, 711527258982, 2015993900449]], [19, [1, -3, 83, -240, 3800, -10380, 124845, -315315, 3213415, -7312140, 67225536, -138930660, 1160042815, -2162745585, 16269925245, -25701907620, 178774347800, -214529217360, 1409635732403, -968063093337, 6131066257801]], [23, [1, 24, 338, 3504, 29201, 203310, 1216412, 6430392, 31045441, 143820006, 675418266, 3307860138, 16423038289, 78238579464, 340401950492, 1308572895330, 4322795994689, 11930508366288, 26469113024978, 43227663875112, 41426511213649]], [29, [1, 0, -148, 0, 11438, 0, -619594, 0, 25499257, 0, -826380936, 0, 21444875137, 0, -438227063914, 0, 6803589145598, 0, -74036469118228, 0, 420707233300201]], [31, [1, -15, 167, -1380, 9668, -61404, 363093, -2129475, 12161347, -68552376, 387742776, -2125123656, 11687054467, -63439189725, 335324010453, -1757944388004, 8580385587908, -37967407473180, 142432803252647, -396594332410065, 819628286980801]], [37, [1, 1, -117, -176, 6668, 11380, -299439, -438173, 12712375, 7307172, -492022188, 270365364, 17403241375, -22194776969, -561196895679, 789134230660, 17108263695212, -16708010375408, -410960096108757, 129961739795077, 4808584372417849]], [41, [1, -8, 196, -1904, 20334, -209420, 1624174, -14216912, 105227473, -706530156, 5096863360, -28967736396, 176887382113, -979843791952, 4589527546414, -24262605613420, 96588619636494, -370812137469424, 1565045344907716, -2619055475151688, 13422659310152401]], [43, [1, 26, 515, 7834, 102387, 1149164, 11585922, 104490512, 859022877, 6419853114, 44087276621, 276053683902, 1588333299573, 8307727137584, 39609961719522, 168936810391652, 647225398497963, 2129426999412238, 6019423142964515, 13067407910357918, 21611482313284249]], [47, [1, 14, 49, -70, -1449, -16780, -75362, 133028, 1885261, 57961722, 732803503, 2724200934, 4164541549, 13811366044, -367742519522, -3848409217460, -15619083011721, -35463618432410, 1166753046426289, 15667826623438738, 52599132235830049]], [53, [1, -24, 337, -3480, 28655, -224976, 1724958, -14318448, 120990445, -964554888, 7393360287, -51121409064, 339862160005, -2131687582896, 13610748324798, -94083949233168, 635119768151495, -4087994766632760, 20981515668628657, -79194326203251192, 174887470365513049]], [59, [1, 0, -135, 756, 7351, -84450, -41974, 3597210, -8726459, -56020614, 414268763, -3305216226, -30376803779, 738791392590, -508614110614, -60375357050550, 310069102794991, 1881420522523164, -19822109076583335, 0, 511116753300641401]], [61, [1, -42, 1112, -22008, 361073, -5062200, 62481246, -687242394, 6821292673, -61325603712, 502052393310, -3740861826432, 25382030036233, -155990965832514, 865105397597886, -4275515394922200, 18602616131649353, -69165484335150168, 213178532052976472, -491154135899033922, 713342911662882601]], [67, [1, -7, -94, 1731, 26, -170241, 879508, 10247793, -116682655, -286659444, 9801469996, -19206182748, -523788438295, 3082156966059, 17723072128468, -229846648340787, 2351917936394, 10491091788814113, -38170361690324254, -190445740774064629, 1822837804551761449]], [71, [1, 0, -422, 0, 92093, 0, -13410012, 0, 1429352290, 0, -115763220252, 0, 7205364893890, 0, -340770947150172, 0, 11797139447136653, 0, -272507990185711142, 0, 3255243551009881201]], [73, [1, 3, 115, 336, 8912, 58260, 290497, 1508853, -7279937, -55999116, -744209196, -4087935468, -38794784273, 586969467501, 8249603815777, 120777151008180, 1348690624687568, 3711925902416592, 92742910567819315, 176614760124803739, 4297625829703557649]], [79, [1, -1, -201, 740, 18128, -100900, -805347, 5115611, 21370651, -77003688, -699661200, -6083291352, 133374232891, 2522195731829, -31368330883107, -310474990659100, 4406689393684688, 14210892649757660, -304938870791218761, -119851595982618319, 9468276082626847201]], [83, [1, -8, 88, -896, 9786, 20764, 545782, -5633576, 64866121, -645391476, 14793518080, -53567492508, 446862707569, -3221205520312, 25901897352022, 81790239911252, 3199438493789034, -24313901686705792, 198201716428235608, -1495522042140323224, 15516041187205853449]], [89, [1, 28, 118, -2240, 12999, 635638, 2053984, -15180164, 276922069, 3387791550, 10662822610, 301513447950, 2193499708549, -10701545034916, 128871559138144, 3549440380043462, 6460259801202039, -99078190165984960, 464517479072845558, 9809979303809585852, 31181719929966183601]], [97, [1, 0, -758, 0, 269933, 0, -59888792, 0, 9235543570, 0, -1040392525668, 0, 86897229450130, 0, -5301911695718552, 0, 224846632206499757, 0, -5940774664537736438, 0, 73742412689492826049]], [101, [1, -10, -134, 3896, -18045, -274930, 4612672, -26836822, -34106231, 2720102526, -39536239310, 274730355126, -347917662431, -27650004543422, 479996498001472, -2889541930739930, -19155131117595045, 417703933180891096, -1451027985541627334, -10936852726843609010, 110462212541120451001]], [103, [1, 27, 656, 11151, 174836, 2374857, 29638044, 347304663, 3780216583, 40332422178, 407986257312, 4154239484334, 40104317729047, 379509182486001, 3335787963316764, 27531101502698751, 208763327315944244, 1371432347335272537, 8310011733902761616, 35228875963389603741, 134391637934412192049]], [107, [1, 42, 1010, 17724, 251549, 3147462, 34147928, 324072306, 2750714533, 22738756722, 216674491338, 2433046969254, 31492930688317, 397002509959158, 4476096777216728, 44144782754124834, 377507219277264101, 2846087088910369332, 17353680416302393010, 77215286921646489294, 196715135728956532249]], [109, [1, 7, -330, -4175, 54386, 955105, -2900460, -123199403, -318513851, 5848824234, 77663172732, 637521841506, -3784263063731, -159546799667687, -409423599654060, 14695474324447645, 91210766628198626, -763206332940968075, -6575456717577633930, 15203252956096165723, 236736367459211723401]], [113, [1, 0, -762, 0, 285517, 0, -69292088, 0, 12047067538, 0, -1565342015132, 0, 153829005392722, 0, -11297892086579768, 0, 594432618549663853, 0, -20257344749947012602, 0, 339456738992222314849]]]}