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], [-3, 3, 0, 0], [0, 0, 0, 0], [-3, -6, 0, -1], [0, 0, 0, 0], [11, 11, 3, -1], [0, 0, 0, 0], [0, 63, 0, 0], [0, 0, 0, 0], [-74, 0, 2, -4], [0, 0, 0, 0], [79, -79, -1, -3], [0, 0, 0, 0], [27, 9, 3, 3], [0, 0, 0, 0], [-55, -55, -12, 4], [0, 0, 0, 0], [0, 188, 4, 2], [0, 0, 0, 0], [-66, 0, -6, 12], [0, 0, 0, 0], [163, -163, 3, 9], [0, 0, 0, 0], [321, -428, -12, 6], [0, 0, 0, 0], [-432, -432, 0, 0], [0, 0, 0, 0], [0, 836, -20, -10], [0, 0, 0, 0], [-690, 0, -10, 20], [0, 0, 0, 0], [222, -222, 6, 18], [0, 0, 0, 0], [1773, 481, -4, -26], [0, 0, 0, 0], [-513, -513, 51, -17], [0, 0, 0, 0], [0, 474, 12, 6], [0, 0, 0, 0], [-1078, 0, 36, -72], [0, 0, 0, 0], [-431, 431, -22, -66], [0, 0, 0, 0], [378, -189, 63, 0], [0, 0, 0, 0], [-1313, -1313, -51, 17], [0, 0, 0, 0], [0, 3641, 88, 44], [0, 0, 0, 0], [330, 0, 24, -48], [0, 0, 0, 0], [1731, -1731, -15, -45], [0, 0, 0, 0], [2542, -716, -30, 74], [0, 0, 0, 0], [-564, -564, -18, 6], [0, 0, 0, 0], [0, 564, -148, -74], [0, 0, 0, 0], [-3030, 0, -68, 136], [0, 0, 0, 0], [-693, 693, 63, 189], [0, 0, 0, 0], [-131, -1977, -94, -64], [0, 0, 0, 0], [-1503, -1503, 66, -22], [0, 0, 0, 0], [0, 978, -36, -18], [0, 0, 0, 0], [558, 0, -74, 148], [0, 0, 0, 0], [4453, -4453, 26, 78], [0, 0, 0, 0], [321, 2247, 18, -54], [0, 0, 0, 0], [4986, 4986, -156, 52], [0, 0, 0, 0], [0, -3392, 224, 112], [0, 0, 0, 0], [-2511, 0, 0, 0], [0, 0, 0, 0], [-4083, 4083, -80, -240], [0, 0, 0, 0], [-7125, -1825, 5, 115], [0, 0, 0, 0], [-2508, -2508, 90, -30], [0, 0, 0, 0], [0, 1688, -248, -124], [0, 0, 0, 0], [7538, 0, 180, -360], [0, 0, 0, 0], [2070, -2070, -30, -90], [0, 0, 0, 0], [2288, 1756, 188, -30], [0, 0, 0, 0], [2953, 2953, 108, -36], [0, 0, 0, 0], [0, -4662, 252, 126], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [-3, 3, 0, 0], [-3, -6, 0, -1], [11, 11, 3, -1], [-74, 0, 2, -4], [79, -79, -1, -3], [-55, -55, -12, 4], [0, 188, 4, 2], [163, -163, 3, 9], [0, 836, -20, -10], [-690, 0, -10, 20], [-513, -513, 51, -17], [-1078, 0, 36, -72], [-431, 431, -22, -66], [-1313, -1313, -51, 17], [1731, -1731, -15, -45], [0, 564, -148, -74], [-3030, 0, -68, 136], [-1503, -1503, 66, -22], [558, 0, -74, 148], [4453, -4453, 26, 78], [0, -3392, 224, 112], [-4083, 4083, -80, -240], [0, 1688, -248, -124], [2953, 2953, 108, -36], [5026, 0, 184, -368], [-12181, 12181, 7, 21], [2045, 2045, 24, -8], [0, -8468, 84, 42], [321, -321, -40, -120], [8047, 8047, -339, 113], [6358, 0, -318, 636], [2549, 2549, -78, 26], [0, -5388, -692, -346], [0, 3764, 748, 374], [6142, 0, 478, -956], [483, 483, -315, 105], [4717, -4717, -40, -120], [20979, 20979, 831, -277], [4703, -4703, 7, 21], [0, 15708, 1764, 882], [11202, 0, -88, 176], [-58850, 0, 62, -124], [-14991, 14991, 232, 696], [-27001, -27001, 351, -117], [0, 51896, -600, -300], [36934, 0, -390, 780], [1871, -1871, -623, -1869], [-33431, -33431, -978, 326], [0, 13052, 1268, 634], [941, -941, 246, 738], [0, 912, -80, -40], [5418, 0, 644, -1288], [-1530, 0, 426, -852], [-8295, -8295, 3444, -1148], [-6205, 6205, 507, 1521], [0, 3772, -732, -366], [1054, 0, -482, 964], [-25121, -25121, 4107, -1369], [51178, 0, 84, -168], [43249, -43249, -798, -2394], [-1237, 1237, -91, -273], [-22791, -22791, -2418, 806], [-60786, 0, -442, 884], [-39267, 39267, -218, -654], [-13589, -13589, -5007, 1669], [156998, 0, 298, -596], [52537, 52537, -324, 108], [-17219, -17219, 4080, -1360], [0, 75476, -2500, -1250], [27825, -27825, -1352, -4056], [0, -131944, -312, -156], [-16905, -16905, 5121, -1707], [-68565, 68565, 525, 1575], [0, -18860, -2548, -1274], [-50849, 50849, -551, -1653], [0, 64900, 6684, 3342], [-54853, -54853, -735, 245], [-67374, 0, -664, 1328], [0, 122992, -1472, -736], [0, -54084, -4700, -2350], [-3142, 0, 4116, -8232], [-168194, 0, -1266, 2532], [122625, -122625, 696, 2088], [0, 168168, 4984, 2492], [-16031, 16031, -1222, -3666], [0, 213368, -3752, -1876], [34093, 34093, 2934, -978], [-119838, 0, -696, 1392], [-89681, 89681, 1513, 4539], [-122959, -122959, 4098, -1366], [0, -69904, -6672, -3336], [-95269, -95269, 6411, -2137], [-222234, 0, -1926, 3852], [0, 226028, 820, 410], [-146989, 146989, -3365, -10095], [0, 154292, 4444, 2222], [39570, 0, 4056, -8112], [213545, -213545, 2014, 6042], [32898, 0, -3400, 6800], [-194487, -194487, -162, 54], [-74989, -74989, -1563, 521], [-60667, 60667, 3860, 11580], [0, -96224, 8560, 4280], [34710, 0, -6894, 13788], [100041, 100041, -9156, 3052], [313109, 313109, -4164, 1388], [-52071, 52071, 6508, 19524], [0, -94200, 3544, 1772], [-43702, 0, 1476, -2952], [244935, 244935, 3921, -1307], [-165725, 165725, 921, 2763], [-114779, -114779, 15498, -5166], [0, 26052, -3172, -1586], [137230, 0, -1786, 3572], [14474, 0, 8788, -17576], [72853, -72853, -6396, -19188], [-32949, -32949, -11229, 3743], [-399929, 399929, 2739, 8217], [0, -162868, 5076, 2538], [374554, 0, 2404, -4808], [489, -489, -6676, -20028], [-232681, -232681, -9177, 3059], [-116623, 116623, 2330, 6990], [369926, 0, 10522, -21044], [205482, 0, 7612, -15224], [0, -409364, -28, -14], [0, 39408, -3760, -1880], [-185261, -185261, 23463, -7821], [237111, -237111, 7523, 22569], [0, -95284, -24716, -12358], [-131405, 131405, 9587, 28761], [-99746, 0, 2366, -4732], [-44609, -44609, -39573, 13191], [537682, 0, -9384, 18768], [0, -198256, -17328, -8664], [276115, -276115, -6383, -19149], [211849, 211849, -16266, 5422], [-314069, -314069, 4065, -1355], [0, 513224, -11816, -5908], [-741626, 0, 8714, -17428], [287562, 0, 2588, -5176], [798563, -798563, 2259, 6777], [-95251, -95251, 5448, -1816], [0, 763180, 19316, 9658], [0, 574312, -13032, -6516], [-251477, 251477, 11421, 34263], [-134019, -134019, 27654, -9218], [0, -12812, -30612, -15306], [44503, -44503, -4963, -14889], [106507, 106507, 15849, -5283], [-318870, 0, -8860, 17720], [307365, -307365, 8228, 24684], [58899, 58899, -14505, 4835], [778941, 778941, 1608, -536], [580238, 0, -12682, 25364], [0, -680472, -27208, -13604], [0, 1125384, -2200, -1100], [615605, 615605, -22878, 7626], [439874, 0, -11464, 22928], [-41895, -41895, -26274, 8758], [-605139, 605139, 190, 570], [-932285, -932285, 14439, -4813], [873174, 0, 14482, -28964], [-40639, -40639, -65448, 21816], [-132069, 132069, 3543, 10629], [826798, 0, 5286, -10572], [-186641, -186641, 9915, -3305]], 'char_orbit_index': 12, 'field_poly': [49, 0, 15, 0, 1], 'hecke_orbit_code': 4504355625500712, 'hecke_ring_character_values': [[31, [1, 0, 0, 0]], [21, [1, 0, 0, 0]], [17, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 7, 7, 7], 'hecke_ring_inverse_denominators': [1, 20, 20, 5], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -10, 2, 1], [-150, 0, 1, -2], [0, 55, -4, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 8, 0, 1], [210, 88, 28, 4], [-420, 44, -56, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 5483, 'label': '40.5.l.b', 'level': 40, 'maxp': 997, 'weight': 5}