Query:
/api/mf_hecke_nf/?_offset=0
Table mf_hecke_nf
Hecke eigenvalues of Galois orbits of newforms
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 0, -9, 0, 0, -1, 0, 0], [0, 208, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-3060, 0, 0, 0, 0, 0, 0, -2], [0, 0, 0, -57, -114, 0, 0, 0], [0, 0, 608, 0, 0, 0, 0, 0], [0, -6327, 0, 0, 0, 0, 17, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -42], [0, 0, 0, -1664, 208, 0, 0, 0], [0, 0, -816, 0, 0, -1632, 0, 0], [0, 0, 0, 0, 0, 0, -228, 0], [0, 0, 0, 0, 0, 0, 0, 0], [325376, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 20026, 0, 0, 0, 0], [0, 0, 15714, 0, 0, 6120, 0, 0], [0, 77956, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [761292, 0, 0, 0, 0, 0, 0, -969], [0, 0, 0, 7560, 15120, 0, 0, 0], [0, 0, -53941, 0, 0, 0, 0, 0], [0, 930240, 0, 0, 0, 0, -608, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -3264], [0, 0, 0, -75915, -32337, 0, 0, 0], [0, 0, -11856, 0, 0, -23712, 0, 0], [0, 0, 0, 0, 0, 0, 3762, 0], [0, 0, 0, 0, 0, 0, 0, 0], [9878632, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 339456, 0, 0, 0, 0], [0, 0, -248346, 0, 0, 64260, 0, 0], [0, 7209360, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1316016, 0, 0, 0, 0, 0, 0, 3536], [0, 0, 0, 43188, 86376, 0, 0, 0], [0, 0, -155912, 0, 0, 0, 0, 0], [0, 10898496, 0, 0, 0, 0, 13872, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2622], [0, 0, 0, 1697004, 348840, 0, 0, 0], [0, 0, 146319, 0, 0, 292638, 0, 0], [0, 0, 0, 0, 0, 0, 8736, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-19418760, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3696279, 0, 0, 0, 0], [0, 0, -2928384, 0, 0, -325376, 0, 0], [0, -46433681, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-30639780, 0, 0, 0, 0, 0, 0, -20026], [0, 0, 0, 169728, 339456, 0, 0, 0], [0, 0, -547772, 0, 0, 0, 0, 0], [0, -21508740, 0, 0, 0, 0, -64674, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 69312], [0, 0, 0, -623648, 77956, 0, 0, 0], [0, 0, 677160, 0, 0, 1354320, 0, 0], [0, 0, 0, 0, 0, 0, -129846, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-35396278, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 19757264, 0, 0, 0, 0], [0, 0, -12581325, 0, 0, 721278, 0, 0], [0, -44388352, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-100971360, 0, 0, 0, 0, 0, 0, 128520], [0, 0, 0, 1569933, 3139866, 0, 0, 0], [0, 0, -4165408, 0, 0, 0, 0, 0], [0, -82529730, 0, 0, 0, 0, 53941, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -228684], [0, 0, 0, -2916576, 1860480, 0, 0, 0], [0, 0, -813276, 0, 0, -1626552, 0, 0], [0, 0, 0, 0, 0, 0, 172752, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-16214848, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 31974264, 0, 0, 0, 0], [0, 0, -19300032, 0, 0, 4993920, 0, 0], [0, 272053856, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [307358631, 0, 0, 0, 0, 0, 0, -215118], [0, 0, 0, -471960, -943920, 0, 0, 0], [0, 0, 54919367, 0, 0, 0, 0, 0], [0, 158348736, 0, 0, 0, 0, 201552, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 585276], [0, 0, 0, -28000566, -5755860, 0, 0, 0], [0, 0, -2298240, 0, 0, -4596480, 0, 0], [0, 0, 0, 0, 0, 0, 585276, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1242428544, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -11219728, 0, 0, 0, 0], [0, 0, -88907688, 0, 0, -9878632, 0, 0], [0, 1330660440, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-519367680, 0, 0, 0, 0, 0, 0, -339456], [0, 0, 0, -86052, -172104, 0, 0, 0], [0, 0, 92867362, 0, 0, 0, 0, 0], [0, -858256560, 0, 0, 0, 0, -265734, 0], [0, 0, 0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 2, 0, 0, 0, 0], [0, 0, -9, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -57, -114, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -42], [0, 0, -816, 0, 0, -1632, 0, 0], [0, 0, 0, 20026, 0, 0, 0, 0], [0, 77956, 0, 0, 0, 0, 0, 0], [0, 0, -53941, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3762, 0], [9878632, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 43188, 86376, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2622], [0, 0, 146319, 0, 0, 292638, 0, 0], [0, 0, 0, 3696279, 0, 0, 0, 0], [0, 0, -547772, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -129846, 0], [-35396278, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1569933, 3139866, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -228684], [0, 0, -813276, 0, 0, -1626552, 0, 0], [0, 272053856, 0, 0, 0, 0, 0, 0], [0, 0, 54919367, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 585276, 0], [0, 0, 0, -86052, -172104, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1644750], [0, 0, 11238309, 0, 0, 22476618, 0, 0], [0, 0, 0, -69430125, 0, 0, 0, 0], [0, -2028284314, 0, 0, 0, 0, 0, 0], [0, 0, 88470006, 0, 0, 0, 0, 0], [0, 0, 0, -8106807, -16213614, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5141514], [0, 0, 0, -159152702, 0, 0, 0, 0], [0, -1183003004, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -4193220, 0], [10216909672, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -724812, -1449624, 0, 0, 0], [0, 0, -4351551, 0, 0, -8703102, 0, 0], [0, 0, 0, -532798819, 0, 0, 0, 0], [0, 0, -1242578756, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2827542, 0], [7259733142, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 18089292], [0, 0, 109618884, 0, 0, 219237768, 0, 0], [0, 0, 0, -1167539056, 0, 0, 0, 0], [0, 23800956896, 0, 0, 0, 0, 0, 0], [-28008788668, 0, 0, 0, 0, 0, 0, 0], [0, 0, 65760369, 0, 0, 131520738, 0, 0], [0, 0, 0, -3227196343, 0, 0, 0, 0], [0, 20200408486, 0, 0, 0, 0, 0, 0], [0, 0, 2180248062, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 65973396, 0], [65477453402, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -24583530], [0, 0, 0, -4296284030, 0, 0, 0, 0], [0, 0, 5850079461, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -29667132, 0], [-10260148048, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 123879468, 247758936, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 72506394], [0, 0, 170335779, 0, 0, 340671558, 0, 0], [0, 0, -389317940, 0, 0, 0, 0, 0], [0, 0, 0, 1020909483, 2041818966, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 238762668], [0, 0, 318900864, 0, 0, 637801728, 0, 0], [0, 0, 0, -7710988384, 0, 0, 0, 0], [-164748706108, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -106966752, -213933504, 0, 0, 0], [0, 0, 0, -4183084821, 0, 0, 0, 0], [0, -149642356574, 0, 0, 0, 0, 0, 0], [0, 0, -27583167882, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 29964744, 0], [0, 0, 0, -1337807727, -2675615454, 0, 0, 0], [0, 0, 2794498284, 0, 0, 5588996568, 0, 0], [0, 187410598756, 0, 0, 0, 0, 0, 0], [0, 0, 8176530697, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 236672436, 0], [0, 0, 0, 122070288, 244140576, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -329131680], [0, -713332935794, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -330456702, 0], [-446486560958, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 843435384], [0, 0, -197153556, 0, 0, -394307112, 0, 0], [0, 378075541376, 0, 0, 0, 0, 0, 0], [0, 0, 22736142805, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 222744030, 0], [0, 0, 0, -9356439192, -18712878384, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 523087518], [0, 0, -9509949141, 0, 0, -19019898282, 0, 0], [0, 0, 0, 15839145161, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2030792052, 0], [0, 0, 0, 10177186143, 20354372286, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1894222518], [0, 2557262102636, 0, 0, 0, 0, 0, 0], [0, 0, 115921121483, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -808837866, 0], [0, 0, 0, 0, 0, 0, 0, 683449836], [0, 0, 12636106749, 0, 0, 25272213498, 0, 0], [585395449922, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 421816113, 843632226, 0, 0, 0], [0, 0, 0, -287215882980, 0, 0, 0, 0], [0, 0, -191337370839, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1604917878, 0], [-2875797617308, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -8680464792, -17360929584, 0, 0, 0], [0, 0, 0, 257553264373, 0, 0, 0, 0], [0, 0, 59129109410, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1810014480, 0], [1408438907602, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 14903358243, 29806716486, 0, 0, 0], [0, 0, -3965287536, 0, 0, -7930575072, 0, 0], [0, 0, 0, -337599037334, 0, 0, 0, 0], [0, 3553400769356, 0, 0, 0, 0, 0, 0], [-1099207874608, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -3173540778], [0, 0, 32990126949, 0, 0, 65980253898, 0, 0], [0, 0, 0, -590368333051, 0, 0, 0, 0], [0, 0, -357800848172, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -6019073346, 0], [2872020934222, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1018151916, 0, 0, -2036303832, 0, 0], [0, 0, 0, 424533119412, 0, 0, 0, 0], [0, 0, -137009125763, 0, 0, 0, 0, 0], [-1277968426508, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -5905602120], [0, -10109922616154, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4892096208, 0], [0, 0, 0, 61103683593, 122207367186, 0, 0, 0], [0, 0, -67925818596, 0, 0, -135851637192, 0, 0], [0, -3668127836924, 0, 0, 0, 0, 0, 0], [0, 0, -439962888555, 0, 0, 0, 0, 0], [2279490905032, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -75951991332, -151903982664, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -3285860232], [0, 10991754183026, 0, 0, 0, 0, 0, 0], [0, 0, 1001935668824, 0, 0, 0, 0, 0], [0, 0, 0, -925037307, -1850074614, 0, 0, 0], [0, 0, 0, 128210126864, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -8650305636, 0], [-459234899948, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -8646092424], [0, 0, -16829109381, 0, 0, -33658218762, 0, 0], [0, 0, 0, -958422002603, 0, 0, 0, 0], [0, 12835984654186, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -19938816144, 0], [0, 0, -88425128736, 0, 0, -176850257472, 0, 0], [0, 0, 0, -773202035390, 0, 0, 0, 0], [0, 24822433998956, 0, 0, 0, 0, 0, 0], [0, 0, -20348090639, 0, 0, 0, 0, 0], [0, 0, 0, 109802235588, 219604471176, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 23231330814], [0, 0, 158260404639, 0, 0, 316520809278, 0, 0], [0, 0, 0, 1032775258243, 0, 0, 0, 0], [0, 0, 0, -25187801667, -50375603334, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5234512008], [0, -1447464837224, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -29050903518, 0], [0, 0, 0, 35221262388, 70442524776, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3514968042], [0, 0, 0, 3619412809399, 0, 0, 0, 0], [0, 0, 3417928760598, 0, 0, 0, 0, 0], [0, 0, 0, 109791921933, 219583843866, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -43509501174], [0, 0, 0, -24860117178, 0, 0, 0, 0], [0, 0, -327996606493, 0, 0, 0, 0, 0], [15984799138352, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 107557893288, 215115786576, 0, 0, 0]], 'char_orbit_index': 5, 'field_poly': [75229001, 516580, -3172180, -3720, 51573, -20, -370, 0, 1], 'hecke_orbit_code': 18014673555161163, 'hecke_ring_character_values': [[26, [-1, 0, 0, 0, 0, 0, 0, 0]], [52, [0, -1, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 39441307653, 1814839183242591, 1814839183242591, 1814839183242591, 1814839183242591, 133727, 32771], 'hecke_ring_inverse_denominators': [1, 24, 72, 24, 72, 72, 36, 72], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 12, -5, -1, -2, -2, 0, 0], [6660, -360, -3, -9, 6, -6, 2, -2], [180, 3336, -1187, -87, -214, -154, 1, 1], [607572, -199800, -765, -6207, 930, -1290, 348, -388], [500400, 1535616, -518448, 16962, -77076, -21876, 975, 875], [26316990, -22846950, -142014, -752619, 33978, -117228, 20438, -29638], [161680680, 189605268, -63120351, 13120329, -9303042, 1233918, 210882, 146132]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-279766247600, 18690271350, 7071824955, -615714322, -52942655, 6506688, 115230, -23362], [-40149782228929150, 15282643585024074, 980347923565950, -339359992828280, -7160605025500, 2539809651876, 15747194550, -7448345780], [8960992574618098, -24497895821144520, -262715761648236, 826808143518890, -19663144658, -8855530432890, -1164411084, 31930598660], [496669676770478056, -109747176032529010, -15435470903557333, 2596180462106353, 162491838114844, -20814895781503, -590479742326, 52001660128], [-478014142655367430, 67171492276480693, 15068362552692886, -2331172193241502, -159197008056475, 20689516304674, 583506890353, -55795922692], [630316068, 21993210, -26220054, -475518, 311982, 4410, -1146, -12], [358593096, -5412950, -10320518, 184486, 101994, -1490, -362, 4]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 9300, 'label': '75.10.e.e', 'level': 75, 'maxp': 997, 'weight': 10}