# Euler Factors of 12-500e6-1.1-c3e6-0-1 downloaded from the LMFDB on 21 June 2026. {"bad_lfactors": [[2, [1]], [5, [1]]], "first_lfactors": [[2, [1]], [3, [1, -2, 51, -56, 1536, -5468, 53708, -147636, 1119744, -1102248, 27103491, -28697814, 387420489]], [5, [1]], [7, [1, 43, 1727, 50339, 1332702, 29618219, 588366411, 10159049117, 156791057598, 2031360222773, 23903902996127, 204145144927549, 1628413597910449]], [11, [1, 15, 2571, -925, 4783030, 26932775, 9069914455, 35847523525, 8473429409830, -2181101614175, 8068899356549691, 62658722541234765, 5559917313492231481]], [13, [1, 87, 14276, 882726, 79599801, 3692238618, 233059547893, 8111848243746, 384213035865009, 9360867313530798, 332603463208538756, 4453172692225895859, 112455406951957393129]], [17, [1, 76, 24044, 1635932, 265844896, 15066200524, 1683395320122, 74020243174412, 6416849520497824, 194001701973490204, 14008569071952373484, 217544151914746000268, 14063084452067724991009]], [19, [1, 21, 18384, 952000, 114342925, 14391271636, 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16890053810563300749953435929]], [41, [1, 469, 370651, 130519935, 59679335290, 16193636465489, 5357319404847131, 1116081618837967369, 283483063661089964890, 42729868797274054112535, 8363180243321027237108731, 729341109731031280206753869, 107178930967531784356353269521]], [43, [1, 460, 345832, 124655500, 57214872680, 16210134848300, 5719975930729670, 1288819191383788100, 361675982012591601320, 62650933337293132586500, 13819319037878911321910632, 1461452368267059604480581220, 252599333573498060811820806649]], [47, [1, 1321, 1027284, 568530472, 254241148401, 96261836646084, 32639413993908497, 9994192666106379132, 2740520084106623038929, 636259776102699427016024, 119361651534093131249727444, 15935683171433706443342968103, 1252453015827223091648143056289]], [53, [1, 1499, 1482588, 962718538, 509576746097, 218580703559942, 88672564803858969, 32541639403893485134, 11294443023434649263513, 3176743580845378267041554, 728334556344171116156890908, 109632590681653900967007747343, 10888439761782913818722623349689]], [59, [1, -763, 1139444, -637509320, 549686280065, -238249689357988, 147613247387932589, -48931482950654217452, 23186060628277880166665, -5522740573513553476531480, 2027295823028526117053754164, -278807667145750763263411111937, 75047496554032956760519149093721]], [61, [1, -522, 911561, -447929140, 432230538640, -180312066611682, 122189438133494244, -40927413191586192042, 22268679160989475809040, -5238148802397556940768740, 2419601005359681936065249081, -314498101527291090784570346322, 136753052840548005895349735207881]], [67, [1, 1098, 1304607, 804289824, 574654791952, 280805402819484, 179454546747099556, 84455875368196466292, 51982342785641201503888, 21881938761246009174719328, 10675232362016357860794292527, 2702242876333673030679820847214, 740195513856780056217081017732809]], [71, [1, -478, 1597916, -467705510, 1082902123840, -201429750683518, 458346087979780794, -72093923496888610898, 138720069522557902776640, -21443596411257570452860810, 26221294606193802364381841756, -2807392448586265823148584003378, 2102085018129621311776010144838961]], [73, [1, 2352, 3503681, 3738530336, 3327345801196, 2522869246421238, 1686917326084339788, 981439025635050743046, 503541302419949470841644, 220093212837313974765908768, 80241470601575036132640608801, 20954640730568330288918806943664, 3465863721549107204083472585375569]], [79, [1, -1072, 2649204, -2097802080, 2905185093440, -1793103306410512, 1816478252253917634, -884069861089332425968, 706214052181868228882240, -251424927343656353444303520, 156545467391155293834727022964, -31232097712088875598482614021328, 14364405059580771582276370834385761]], [83, [1, 576, 1544378, 347760672, 596656676487, -276466664748192, 44146699494821164, -158080044836374459104, 195071156583766423274703, 65010468795691390334430816, 165078576371417989994315624858, 35204150508402717125632931159232, 34946659039493167390823397237402409]], [89, [1, 459, 2736869, 1264607975, 3728008077875, 1598776797879014, 3233583446540907726, 1127088080423970620566, 1852750267255353721587875, 443063502220805362495941775, 675980378815255428670357215749, 79921345215248672176523499194691, 122749609618842355502421774953773681]], [97, [1, 3228, 7619597, 12374348724, 17384034216012, 19837163355251154, 20598257554511957836, 18104843390927136474642, 14480413834665852314723148, 9407364230607288249758733108, 5286799172313756400734093518477, 2044134838533556138147694781426204, 577951262543040979328274795306257089]], [101, [1, 1864, 4205336, 3136096940, 3428901111640, -803603800583816, 440041705276347006, -827953799345306208616, 3639847624424029114095640, 3429903036988489807481742940, 4738677864915057017206492368536, 2164046132809677269551206079997864, 1196147475686664860781049986817531801]], [103, [1, 1989, 4525713, 5880151413, 8519354503402, 9366520344532437, 11015658066544878889, 10235049676519896285699, 10172554809731836443291658, 7672263880538041285450045779, 6452584580491281053739584835633, 3098797191618920750659019692337523, 1702433061239903677780481956434843889]], [107, [1, -234, 5669319, -441978328, 14621478597016, -225714170748796, 22549652082234479692, -276509564876617298228, 21942896719452444561482584, -812559128801656722505524296, 12768392566935786004172615166519, -645613380527388133561518433225662, 3379932275732534791891466777752413049]], [109, [1, -1298, 2256869, -227152620, 763729033340, 3924928318278262, -2729050587843664856, 5082895995091579359598, 1280850046467003784438940, -493351248785712716561949180, 6347815953397579295108842943189, -4727942232674401041718075652021402, 4717120417286669419611030657597553321]], [113, [1, 2214, 6968928, 8757238878, 16420860878872, 14143075520518062, 24366560578184496494, 20407001239328950105614, 34187440086116124458977048, 26307112850458299072697517694, 30206979399572651077815495593568, 13846954616221787262289123054804998, 9024267965168278308669913635234402529]]]}