# Euler Factors of 12-112e6-1.1-c2e6-0-1 downloaded from the LMFDB on 01 October 2025. {"bad_lfactors": [[2, [1]], [7, [1, -14, 159, -1204, 7791, -33614, 117649]]], "first_lfactors": [[2, [1]], [3, [1, -3, 11, -24, 73, -405, 1062, -3645, 5913, -17496, 72171, -177147, 531441]], [5, [1, 1, -21, -84, -119, 691, 21334, 17275, -74375, -1312500, -8203125, 9765625, 244140625]], [7, [1, -14, 159, -1204, 7791, -33614, 117649]], [11, [1, 33, 647, 9372, 99785, 897939, 8784494, 108650619, 1460952185, 16603069692, 138690196007, 855935011833, 3138428376721]], [13, [1, -28, 674, -14700, 250015, -3844568, 56188444, -649731992, 7140678415, -70954092300, 549802505954, -3860037771772, 23298085122481]], [17, [1, 5, -597, -4140, 189001, 874775, -52481738, 252809975, 15785552521, -99929535660, -4164527192277, 10079969502245, 582622237229761]], [19, [1, -63, 2687, -85932, 2344025, -55178949, 1125045854, -19919600589, 305475682025, -4042746646092, 45634833891167, -386257174241463, 2213314919066161]], [23, [1, 33, 1091, 24024, 239153, -2995065, -92805178, -1584389385, 66924814673, 3556414197336, 85437284941571, 1367074870050417, 21914624432020321]], [29, [1, 100, 8706, 481620, 23413855, 863296360, 28259007580, 726032238760, 16560174778255, 286478807860020, 4355145271238466, 42070723330020100, 353814783205469041]], [31, [1, 69, 4719, 216108, 9775473, 341517135, 11766553198, 328197966735, 9027854600433, 191796645493548, 4024792805684079, 56554351801675269, 787662783788549761]], [37, [1, -15, -1557, -33940, 790041, 51498435, 375470262, 70501357515, 1480664030601, -87080754321460, -5468930509754997, -72128765586267735, 6582952005840035281]], [41, [1, -124, 13746, -1030380, 66977935, -3444274264, 156994251196, -5789825037784, 189263636583535, -4894412407841580, 109760782199497266, -1664409754458897724, 22563490300366186081]], [43, [1, 0, -3670, 0, 12561503, 0, -23327513140, 0, 42945279017903, 0, -42895695018795670, 0, 39959630797262576401]], [47, [1, -171, 17823, -1380996, 90217905, -5234761233, 263209480846, -11563587563697, 440234596888305, -14886053252487684, 424388562172566303, -8994451612326938379, 116191483108948578241]], [53, [1, 97, 1179, -23940, 4735705, -335970173, -51150763946, -943740215957, 37366990324105, -530614805428260, 73404174994994619, 16964084625454765753, 491258904256726154641]], [59, [1, -27, 5867, -151848, 13078745, -314287821, 27132604934, -1094035904901, 158479874591945, -6405029672318568, 861454177424551307, -13800152339117317827, 1779197418239532716881]], [61, [1, 89, -3749, -138740, 40371865, 372749339, -166841025514, 1387000290419, 558982423663465, -7147936738845140, -718710716426806469, 63487519137996551489, 2654348974297586158321]], [67, [1, 309, 53283, 6629904, 664897785, 56444370027, 4088196283606, 253378777051203, 13398435718166985, 599730389775781776, 21636504063250502403, 563256881606494287741, 8182718904632857144561]], [71, [1, 0, -12262, 0, 65975471, 0, -264226747348, 0, 1676547622876751, 0, -7918229800135521382, 0, 16409682740640811134241]], [73, [1, -123, -2541, 161020, 74498025, -953468913, -428445487386, -5081035837377, 2115612867974025, 24367837117054780, -2049215093502859821, -528607977053537590827, 22902048046490258711521]], [79, [1, 201, 34179, 4163112, 467823873, 44136675375, 3764890310758, 275456991015375, 18221777747083713, 1012000303128941352, 51853262013796348419, 1903123492607996287401, 59091511031674153381441]], [83, [1, 0, -24694, 0, 317726975, 0, -2615092039540, 0, 15078788769908975, 0, -55618104380441478454, 0, 106890007738661124410161]], [89, [1, -91, -8109, 1152060, 18525385, -3745251601, 93648370726, -29666137931521, 1162324170287785, 572552266064529660, -31921798625438174829, -2837536513626922707691, 246990403565262140303521]], [97, [1, -124, 39794, -4952940, 830244655, -80913969944, 10281763163836, -761319543203096, 73500962361243055, -4125660362093041260, 311882832454636786034, -9144059173497110430076, 693842360995438000295041]], [101, [1, 257, 16443, 1641276, 527415049, 42142167971, 991740948406, 429892255472171, 54883021492374649, 1742247546697806876, 178054128106425210843, 28388788623067955907257, 1126825030131969720661201]], [103, [1, -279, 50603, -6879024, 814774625, -92788135257, 9597733885526, -984389326941513, 91703601860194625, -8213914405078107696, 641023664284575375083, -37495266983701001581671, 1425760886846178945447841]], [107, [1, 9, 31103, 279684, 610893065, 8810316387, 8085950832446, 100869312314763, 80075619213867065, 419730267726535716, 534407447513122108703, 1770436221560608790241, 2252191588960823337718801]], [109, [1, -55, -25093, 315180, 405356041, 2810777995, -5599728497162, 33394853358595, 57219313297800601, 528588412934866380, -499993743679319903653, -13020500210256644787055, 2812664781782894485727281]], [113, [1, 4, 33714, -2224620, 709949935, -37119258776, 12733686320956, -473975815310744, 115755463343871535, -4631551507889033580, 896267875196474518194, 1357826955968889259396, 4334523100191686738306881]]]}