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, -1, 0, 0], [0, 0, 0, 0], [-14, 0, 0, -1], [0, 0, 0, 0], [0, 2, -5, 0], [0, 0, 0, 0], [-951, 0, 0, 6], [0, 0, 0, 0], [0, 17, -14, 0], [0, 0, 0, 0], [-2174, 0, 0, -5], [0, 0, 0, 0], [0, -34, -87, 0], [0, 0, 0, 0], [-1326, 0, 0, -34], [0, 0, 0, 0], [0, -125, 102, 0], [0, 0, 0, 0], [-480, 0, 0, 68], [0, 0, 0, 0], [0, 246, -139, 0], [0, 0, 0, 0], [9147, 0, 0, 28], [0, 0, 0, 0], [0, 510, 522, 0], [0, 0, 0, 0], [19394, 0, 0, -137], [0, 0, 0, 0], [0, -952, 40, 0], [0, 0, 0, 0], [17808, 0, 0, 122], [0, 0, 0, 0], [0, -1212, 484, 0], [0, 0, 0, 0], [31314, 0, 0, -221], [0, 0, 0, 0], [0, 1934, -435, 0], [0, 0, 0, 0], [-52462, 0, 0, -68], [0, 0, 0, 0], [0, 1513, -740, 0], [0, 0, 0, 0], [-134142, 0, 0, 867], [0, 0, 0, 0], [0, -1156, -322, 0], [0, 0, 0, 0], [23889, 0, 0, -296], [0, 0, 0, 0], [0, -306, -2958, 0], [0, 0, 0, 0], [-17166, 0, 0, -197], [0, 0, 0, 0], [0, -3006, 2347, 0], [0, 0, 0, 0], [-131664, 0, 0, -882], [0, 0, 0, 0], [0, -1955, -3128, 0], [0, 0, 0, 0], [59554, 0, 0, -1173], [0, 0, 0, 0], [0, 5202, 2271, 0], [0, 0, 0, 0], [153316, 0, 0, 2244], [0, 0, 0, 0], [0, 4063, 3094, 0], [0, 0, 0, 0], [306528, 0, 0, 748], [0, 0, 0, 0], [0, 306, 3655, 0], [0, 0, 0, 0], [54882, 0, 0, 2686], [0, 0, 0, 0], [0, -7803, 2436, 0], [0, 0, 0, 0], [-257056, 0, 0, -1604], [0, 0, 0, 0], [0, 2244, 5270, 0], [0, 0, 0, 0], [564417, 0, 0, -7038], [0, 0, 0, 0], [0, 12739, -2176, 0], [0, 0, 0, 0], [854148, 0, 0, 1802], [0, 0, 0, 0], [0, -25970, -11919, 0], [0, 0, 0, 0], [-930750, 0, 0, -850], [0, 0, 0, 0], [0, -10268, 12940, 0], [0, 0, 0, 0], [-1568640, 0, 0, 5072], [0, 0, 0, 0], [0, 21862, -17199, 0], [0, 0, 0, 0], [729586, 0, 0, 4710], [0, 0, 0, 0], [0, 441, 408, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, -1, 0, 0], [-14, 0, 0, -1], [0, 2, -5, 0], [0, 17, -14, 0], [-2174, 0, 0, -5], [-1326, 0, 0, -34], [0, -125, 102, 0], [0, 246, -139, 0], [19394, 0, 0, -137], [0, -952, 40, 0], [31314, 0, 0, -221], [-52462, 0, 0, -68], [0, 1513, -740, 0], [0, -1156, -322, 0], [-17166, 0, 0, -197], [0, -1955, -3128, 0], [59554, 0, 0, -1173], [0, 4063, 3094, 0], [0, 306, 3655, 0], [54882, 0, 0, 2686], [0, 2244, 5270, 0], [0, 12739, -2176, 0], [-930750, 0, 0, -850], [729586, 0, 0, 4710], [-213230, 0, 0, -2261], [0, 39066, -11101, 0], [0, 8041, -12930, 0], [200994, 0, 0, -6409], [-27614, 0, 0, 6768], [0, -5440, 38700, 0], [0, -32113, -30566, 0], [-519214, 0, 0, -6868], [0, 19041, 36692, 0], [1540370, 0, 0, 1479], [0, -118762, 14261, 0], [990626, 0, 0, -27773], [0, 74919, -40380, 0], [0, 65162, 9367, 0], [-4012670, 0, 0, -1853], [0, 59099, 348, 0], [-1626990, 0, 0, 46495], [0, 208400, 9860, 0], [-2520398, 0, 0, -61642], [-4767694, 0, 0, -3561], [0, -123726, -9221, 0], [0, 279427, 67852, 0], [0, 148472, -171464, 0], [0, 87703, -99776, 0], [-14334094, 0, 0, -47481], [-4576094, 0, 0, 32334], [0, 5644, 304466, 0], [-22388206, 0, 0, -27170], [0, 161741, -284376, 0], [-10052606, 0, 0, 9632], [0, -346654, 323527, 0], [16562466, 0, 0, -20481], [0, 211604, -293118, 0], [8066738, 0, 0, 43435], [5609474, 0, 0, -23466], [0, -250427, -288082, 0], [-6913934, 0, 0, -201161], [0, -209877, 419454, 0], [0, 314878, -160939, 0], [-27207310, 0, 0, 11900], [5079554, 0, 0, -107321], [0, -81471, 81422, 0], [-19597918, 0, 0, 18424], [0, -1414619, 176324, 0], [39004802, 0, 0, 77503], [1591298, 0, 0, 41208], [0, -1273510, -301293, 0], [0, 859724, -2482, 0], [44793010, 0, 0, 119459], [0, 456909, 306316, 0], [0, 1032672, 200464, 0], [32065426, 0, 0, 448035], [-19984542, 0, 0, 223431], [8227922, 0, 0, 46062], [62107442, 0, 0, 145452], [0, -993769, 1094582, 0], [-36571214, 0, 0, -367841], [0, -1122756, -1294734, 0], [76399122, 0, 0, 71502], [0, 823582, 877013, 0], [0, 1526957, -1401646, 0], [-23161422, 0, 0, -521450], [-1427630, 0, 0, -1044660], [-27552478, 0, 0, -318801], [0, -590172, 661606, 0], [0, 2930963, -657942, 0], [0, -743240, -1324952, 0], [0, 2116186, -302889, 0], [0, -3372551, 1572736, 0], [0, -4140341, 759104, 0], [0, -5219442, 1205849, 0], [-1272094, 0, 0, 153731], [-11505838, 0, 0, 1032444], [0, 878577, -1974058, 0], [105120610, 0, 0, -235845], [0, 3376183, -1568698, 0], [-87263550, 0, 0, 685355], [0, -3189013, -97138, 0], [-2583182, 0, 0, -174692], [0, 1757581, -101558, 0], [-256689342, 0, 0, 433432], [0, 2456289, 3775394, 0], [-158070174, 0, 0, 130288], [0, 4980966, -2835431, 0], [-11368382, 0, 0, 2214894], [0, 111928, 437468, 0], [-133732302, 0, 0, 119391], [-157196830, 0, 0, 1311958], [0, 3501065, -2669974, 0], [0, 3312558, -2325447, 0], [393548722, 0, 0, 761990], [0, -2727633, -994874, 0], [0, 2378946, -823977, 0], [48275362, 0, 0, 433007], [0, -4708269, 2162248, 0], [-24517294, 0, 0, 476911], [64104178, 0, 0, 129302], [427026898, 0, 0, 626803], [0, -4130967, 3897216, 0], [0, -10618149, 3086956, 0], [-499314654, 0, 0, 1130619], [-396838126, 0, 0, -13533], [0, -8421596, -4077474, 0], [0, 6966022, -1397383, 0], [-143076926, 0, 0, -3521305], [0, -9282153, 1083248, 0], [0, -16341862, 4852759, 0], [0, 6717516, -6796198, 0], [-192661678, 0, 0, 969255], [-99379726, 0, 0, -3063876], [-89829838, 0, 0, -3367882], [461959698, 0, 0, 1660883], [0, 3169939, 4377092, 0], [-558602974, 0, 0, 1207187], [-625334766, 0, 0, -1233316], [0, -10248263, 9752322, 0], [311101490, 0, 0, -812413], [0, -926466, 15054277, 0], [0, -787219, -11955978, 0], [285770850, 0, 0, -779773], [0, -3029230, 13717283, 0], [-101429966, 0, 0, 2311371], [-623470798, 0, 0, 228412], [0, 12784357, -7221668, 0], [0, 22509272, -9188688, 0], [105639778, 0, 0, 1531487], [320972898, 0, 0, 1157432], [0, 13082651, 860778, 0], [0, 16634382, -3509899, 0], [0, 10036417, 14491888, 0], [0, -15177228, 7453162, 0], [0, 8057366, -10092339, 0], [608089586, 0, 0, -3557898], [699210786, 0, 0, -1140690], [-256173278, 0, 0, 2576199], [0, 4710411, 14450758, 0], [-698181390, 0, 0, 5328364], [0, 6642098, 10346419, 0], [0, -12719151, -12317080, 0], [-45386414, 0, 0, 6710302], [0, -22675450, 18523489, 0], [0, 27185240, -2249916, 0], [517733714, 0, 0, -3649677]], 'char_orbit_index': 3, 'field_poly': [9, 0, 0, 0, 1], 'hecke_orbit_code': 4503737183764512, 'hecke_ring_character_values': [[31, [-1, 0, 0, 0]], [5, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 512, 64, 512], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 16, -3, 4], [0, 0, -3, 0], [0, 48, -9, -12]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 48, -12, 16], [0, 0, -64, 0], [0, 192, 0, -64]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 4551, 'label': '32.7.c.b', 'level': 32, 'maxp': 997, 'weight': 7}