Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 2816, 'analytic_conductor': 10.384336161010348, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [11, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [176, 1, [111, 133, 145], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 97, 'field_disc_factorization': [[97, 1]], 'field_poly': [-24, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, 9, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597831332016, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 27806, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '176.4.a.g', 'level': 176, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '44.4.a.b', 'nf_label': '2.2.97.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-4-\\beta )q^{3}+(6-\\beta )q^{5}+(-8+6\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '176.4.a', 'trace_display': [0, -9, 11, -10], 'trace_hash': 737221566095824625, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.924', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.152', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.247', 'prec': 10}, {'__RealLiteral__': 0, 'data': '60.677', 'prec': 17}], 'trace_zratio': 0, 'traces': [2, 0, -9, 0, 11, 0, -10, 0, 35, 0, -22, 0, -22, 0, -1, 0, -160, 0, -12, 0, -246, 0, 119, 0, -141, 0, -351, 0, -138, 0, -401, 0, 99, 0, -346, 0, 341, 0, 196, 0, -318, 0, -450, 0, -244, 0, 312, 0, 1110, 0, 914, 0, -400, 0, -121, 0, 1024, 0, 21, 0, -462, 0, 2444, 0, -24, 0, -327, 0, -1651, 0, -603, 0, 206, 0, 1168, 0, 110, 0, -2026, 0, 2138, 0, 1046, 0, -686, 0, -1416, 0, 721, 0, -472, 0, 1853, 0, 904, 0, 1467, 0, -385, 0, 1400, 0, 472, 0, -286, 0, 2150, 0, -2152, 0, -419, 0, -997, 0, -461, 0, -1258, 0, -364, 0, 242, 0, 2304, 0, -1617, 0, 472, 0, 3286, 0, -1222, 0, -5760, 0, -427, 0, 443, 0, 638, 0, 2088, 0, 242, 0, -2796, 0, -2085, 0, -1876, 0, -2982, 0, -4546, 0, -2157, 0, 163, 0, 830, 0, 6098, 0, 456, 0, 11, 0, -1428, 0, -3958, 0, -8940, 0, 4808, 0, -2496, 0, 2379, 0, -3983, 0, -3735, 0, 236, 0, 2991, 0, 1760, 0, -7266, 0, 825, 0, -4218, 0, 108, 0, -236, 0, -2200, 0, 6079, 0, 12912, 0, -876, 0, 12122, 0, 132, 0, 1856, 0, -633, 0, -1214, 0, 1714, 0, -3740, 0, 2148, 0, 4075, 0, -7269, 0, -7410, 0, 3553, 0, 2706, 0, -2702, 0, 5208, 0, 11154, 0, 4834, 0, 1482, 0, -3636, 0, 9015, 0, 2072, 0, -730, 0, 9337, 0, -1309, 0, 274, 0, -1504, 0, -8398, 0, 15918, 0, -90, 0, -3170, 0, 5437, 0, 4376, 0, -6940, 0, 4840, 0, 1551, 0, -1532, 0, -7454, 0, -9208, 0, -3072, 0, 976, 0, -3648, 0, 3750, 0, 3923, 0, -1898, 0, 2589, 0, 3861, 0, -3540, 0, -5316, 0, -1450, 0, -4384, 0, -6468, 0, -16480, 0, 2948, 0, 4849, 0, 10532, 0, 15159, 0, 1518, 0, -19666, 0, 4840, 0, 2618, 0, 5998, 0, -22512, 0, 239, 0, -4072, 0, 2809, 0, -10228, 0, -3613, 0, 4411, 0, -19580, 0, -1175, 0, 22984, 0, 2492, 0, 6868, 0, 10605, 0, -6663, 0, 23948, 0, -15996, 0, 5754, 0, -1089, 0, -1680, 0, -16681, 0, -13422, 0, 7820, 0, 7164, 0, 729, 0, -2556, 0, -15421, 0, -9496, 0, 3607, 0, 3806, 0, -19224, 0, 11307, 0, -13982, 0, -6238, 0, -9106, 0, -12036, 0, 22816, 0, -8972, 0, 4508, 0, 8267, 0, -3751, 0, 15996, 0, 1547, 0, -14946, 0, 9730, 0, -7818, 0, -14472, 0, -15668, 0, -25968, 0, 13414, 0, 13368, 0, -2156, 0, 1758, 0, 2119, 0, -1968, 0, -23024, 0, -12000, 0, -6765, 0, -12235, 0, 12647, 0, 27842, 0, -11995, 0, 3498, 0, 22246, 0, 120, 0, -3474, 0, 34094, 0, -7774, 0, 12925, 0, 249, 0, 981, 0, -26010, 0, 11343, 0, 4950, 0, 11516, 0, 1730, 0, 6372, 0, -1520, 0, -39178, 0, 18593, 0, 25439, 0, 8812, 0, 13108, 0, 2892, 0, 2684, 0, 23094, 0, -1048, 0, 17484, 0, 862, 0, 12550, 0, 15677, 0, -6463, 0, 15848, 0, 32176, 0, -11760, 0, -3432, 0, -21442, 0, 23823, 0, -9700, 0, 29080, 0, 32274, 0, 8403, 0, -21894, 0, 5244, 0, 1834, 0, 12055, 0, -12210, 0, -24066, 0, 6089, 0, -15522, 0, 10940, 0, 8502, 0, -39912, 0, -2092, 0, 945, 0, 25068, 0, 7472, 0, -10054, 0, 11672, 0, -13583, 0, 10262, 0, -950, 0, 25536, 0, -36741, 0, -20660, 0, 18115, 0, 14228, 0, -29092, 0, 4400, 0, -420, 0, 2664, 0, 3376, 0, -45110, 0, -25986, 0, 20308, 0, -14544, 0, 31968, 0, -2292, 0, -47190, 0, 1331, 0, 47706, 0, -27840, 0, 3552, 0, 8702, 0, 1032, 0, 25820, 0, -15553, 0, -55465, 0, -55694, 0, 2184, 0, -11264, 0, -22818, 0, -129, 0, 4452, 0, -4776, 0, -6390, 0, 19566, 0, 27057, 0, -451, 0, 1486, 0, -10463, 0, -231, 0, 50390, 0, -8727, 0, -18458, 0, 28922, 0, -15258, 0, -19105, 0, -19560, 0, -34784, 0, 38640, 0, -11887, 0, 5082, 0, 17200, 0, 41284, 0, 3676, 0, -70482, 0, 23742, 0, -46548, 0, 5977, 0, -30975, 0, 2460, 0, -18143, 0, -26884, 0, -1438, 0, 28932, 0, -29648, 0, -3696, 0, 20264, 0, 3336, 0, -36100, 0, -7303, 0, -53788, 0, -24975, 0, 264, 0, 4534, 0, -17097, 0, 83776, 0, -3856, 0, -12678, 0, 38539, 0, -14398, 0, 41044, 0, -830, 0, 2355, 0, 3597, 0, 14078, 0, -20576, 0, 43148, 0, 9082, 0, -17488, 0, 49196, 0, 27569, 0, -63017, 0, -7574, 0, -24320, 0, 18161, 0, -55290, 0, 32876, 0, 13312, 0, 4716, 0, 53574, 0, 20930, 0, -7584, 0, 28804, 0, -17402, 0, 19368, 0, 6633, 0, -38928, 0, 12973, 0, -4188, 0, -48774, 0, 53582, 0, 1396, 0, -770, 0, -14913, 0, -10992, 0, -65516, 0, -2266, 0, 21802, 0, -3202, 0, -15926, 0, -39298, 0, 62076, 0, 13372, 0, 27920, 0, -32704, 0, 21436, 0, -15265, 0, -12848, 0, 15544, 0, 18003, 0, -15222, 0, -77160, 0, 3204, 0, 71879, 0, 18723, 0, 46298, 0, 63746, 0, -23903, 0, -1210, 0, 11884, 0, -5367, 0, -2764, 0, -29576, 0, 17234, 0, -8751, 0, 58320, 0, 11224, 0, 26638, 0, -47915, 0, 22286, 0, 12812, 0, -69048, 0, 47370, 0, -30310, 0, 66256, 0, 45367, 0, -20424, 0, 2463, 0, -62238, 0, 41872, 0, -23518, 0, 67968, 0, -27775, 0, 33972, 0, 25632, 0, 28120, 0, 83092, 0, -31261, 0, -52800, 0, -19150, 0, -18756, 0, -11506, 0, -1612, 0, 76532, 0, 32738, 0, 7960, 0, -60, 0, -11770, 0, 137464, 0, 8676, 0, 51540, 0, 9044, 0, 7546, 0, 19026, 0, -61251, 0, 3768, 0, -39000, 0, 3590, 0, 21189, 0, -7892, 0, -88149, 0, -77172, 0, -28491, 0, 15576, 0, -23458, 0, 20867, 0, 127544, 0, -27952, 0, 64488, 0, -100544, 0, -62217, 0, 26492, 0, -24488, 0, -21961, 0, -7931, 0, -4486, 0, 87183, 0, -47470, 0, 38448, 0, -55778, 0, -38728, 0, -49527, 0, -36544, 0, -65364, 0, -25265, 0], 'weight': 4, 'weight_parity': 1}