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': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [7, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 67109040, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 27800, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, '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.a', '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': '88.4.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-7q^{3}+9q^{5}-2q^{7}+22q^{9}+11q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '176.4.a', 'trace_display': [0, -7, 9, -2], 'trace_hash': 41414676644246694, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 4}, {'__RealLiteral__': 0, 'data': '0.991', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.002', 'prec': 4}, {'__RealLiteral__': 0, 'data': '1.989', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.090', 'prec': 7}, {'__RealLiteral__': 0, 'data': '5.037', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 4}, 'traces': [1, 0, -7, 0, 9, 0, -2, 0, 22, 0, 11, 0, 0, 0, -63, 0, -38, 0, -44, 0, 14, 0, -175, 0, -44, 0, 35, 0, -264, 0, -159, 0, -77, 0, -18, 0, -173, 0, 0, 0, -220, 0, 542, 0, 198, 0, 264, 0, -339, 0, 266, 0, 682, 0, 99, 0, 308, 0, -421, 0, 308, 0, -44, 0, 0, 0, -177, 0, 1225, 0, -365, 0, -528, 0, 308, 0, -22, 0, -686, 0, -839, 0, -698, 0, -342, 0, 1848, 0, 967, 0, 0, 0, 1113, 0, -396, 0, -1127, 0, 242, 0, 510, 0, 1056, 0, 126, 0, -1046, 0, 250, 0, 1211, 0, 1401, 0, -1575, 0, 0, 0, 76, 0, 121, 0, 1540, 0, -1521, 0, 132, 0, -3794, 0, 2054, 0, 88, 0, 315, 0, 889, 0, -2638, 0, -1848, 0, 0, 0, -2376, 0, 2373, 0, 3338, 0, 430, 0, -836, 0, -1431, 0, -1159, 0, -4774, 0, 350, 0, -1012, 0, -693, 0, -1584, 0, -2197, 0, -968, 0, 474, 0, 88, 0, 2947, 0, -1665, 0, 2543, 0, -2156, 0, -1557, 0, -418, 0, -70, 0, 1631, 0, 484, 0, 0, 0, 1966, 0, -968, 0, 1239, 0, 528, 0, -1980, 0, -3850, 0, -484, 0, 2948, 0, 2555, 0, 4878, 0, 318, 0, 3696, 0, 0, 0, -1995, 0, -968, 0, 6026, 0, -4417, 0, 154, 0, 5808, 0, 2376, 0, 4802, 0, -626, 0, -3520, 0, 4928, 0, -3051, 0, 0, 0, 4886, 0, -3921, 0, -1925, 0, 2394, 0, 4598, 0, 346, 0, -5808, 0, 5838, 0, 6138, 0, -6769, 0, -5038, 0, 8096, 0, 0, 0, -484, 0, 7014, 0, -3498, 0, -4362, 0, -4620, 0, 2772, 0, 440, 0, -3469, 0, 7889, 0, -7172, 0, -3789, 0, 385, 0, 0, 0, -1084, 0, -3570, 0, 2772, 0, -7348, 0, -7392, 0, 5508, 0, -7009, 0, -396, 0, 853, 0, -2904, 0, 7322, 0, 1672, 0, 0, 0, -1750, 0, -528, 0, -3631, 0, -3806, 0, -1593, 0, 11574, 0, -9807, 0, -1749, 0, 1364, 0, 11025, 0, 1056, 0, 6810, 0, 0, 0, 9923, 0, -3285, 0, -532, 0, 2200, 0, -4923, 0, -847, 0, -4752, 0, -8935, 0, -4840, 0, -1364, 0, 9122, 0, 10647, 0, 0, 0, -8963, 0, -924, 0, 1721, 0, -198, 0, 11924, 0, -7351, 0, 6650, 0, -14378, 0, -6174, 0, -8338, 0, -616, 0, -11814, 0, 0, 0, -7551, 0, -1903, 0, -7278, 0, -6223, 0, 842, 0, -6282, 0, 18466, 0, 3828, 0, -15466, 0, 5808, 0, 1672, 0, -616, 0, 0, 0, 2710, 0, -3347, 0, 16632, 0, 7700, 0, -2464, 0, -7458, 0, 5955, 0, 8703, 0, -23366, 0, -13173, 0, -2420, 0, -3010, 0, 0, 0, -6292, 0, -1330, 0, 10164, 0, -5677, 0, 10017, 0, 6675, 0, 354, 0, 8113, 0, 5962, 0, 1936, 0, 15004, 0, -6424, 0, 0, 0, -2450, 0, -10143, 0, 21369, 0, 7084, 0, -1848, 0, 10032, 0, 2178, 0, 730, 0, 19228, 0, 11088, 0, -10878, 0, 4590, 0, 15379, 0, 10047, 0, 1056, 0, -1540, 0, 9504, 0, 2904, 0, -3318, 0, -5827, 0, -836, 0, -616, 0, 6042, 0, 18458, 0, -9262, 0, 0, 0, -9414, 0, 11655, 0, -3729, 0, -7172, 0, -17801, 0, 2250, 0, 11264, 0, 6776, 0, 11616, 0, 1372, 0, 10899, 0, 306, 0, 0, 0, 2926, 0, -23804, 0, 12609, 0, 1678, 0, -4664, 0, -11572, 0, -11417, 0, 7700, 0, -24407, 0, -3388, 0, 1396, 0, 7502, 0, 0, 0, -18436, 0, 6996, 0, -13762, 0, -11044, 0, 684, 0, 6776, 0, -8800, 0, -10826, 0, -3894, 0, 1089, 0, -4066, 0, -3696, 0, 0, 0, 4752, 0, 13860, 0, -3806, 0, 5185, 0, -6125, 0, -1934, 0, -8189, 0, 3388, 0, 6574, 0, 13049, 0, -20636, 0, 1188, 0, 0, 0, -8030, 0, 9959, 0, -12197, 0, -34146, 0, 5759, 0, -4631, 0, -2226, 0, -25209, 0, 18486, 0, -11616, 0, 4062, 0, 31173, 0, 0, 0, 792, 0, 46200, 0, 13965, 0, 3388, 0, -26690, 0, -1540, 0, -7398, 0, 2254, 0, -42182, 0, -27960, 0, 8001, 0, 30919, 0, 0, 0, -19465, 0, -484, 0, -23742, 0, 8360, 0, -40656, 0, 13518, 0, 7612, 0, -16632, 0, -1020, 0, 14727, 0, -15092, 0, 27825, 0, 0, 0, 4382, 0, -15711, 0, -2112, 0, 24640, 0, 11616, 0, -12099, 0, -11843, 0, -20596, 0, 9812, 0, 21357, 0, -1947, 0, 11854, 0, 0, 0, -18788, 0, 30042, 0, -15356, 0, 2092, 0, 16559, 0, 27447, 0, 3870, 0, 26610, 0, 13475, 0, 7040, 0, -500, 0, -7524, 0, 0, 0, -18128, 0, -32186, 0, 9570, 0, 6996, 0, -2422, 0, 9680, 0, -4015, 0, -9240, 0, -10431, 0, 16280, 0, -40866, 0, -2802, 0, 0, 0, -42966, 0, -603, 0, -10032, 0, 21274, 0, -5808, 0, 3150, 0, 35266, 0, 23276, 0, 45662, 0, -56672, 0, -9108, 0, -23848, 0, 0, 0, 33222, 0, 3569, 0, 3388, 0, 41008, 0, -17839, 0, -49098, 0, 12882, 0, -14256, 0, -5565, 0, -20731, 0, 45307, 0, 30534, 0, -19773, 0, -242, 0, 32340, 0, 30275, 0, 9102, 0, -8712, 0, 12936, 0, -15113, 0, -3080, 0, -29216, 0, 4266, 0, 24283, 0, -7546, 0, 0, 0, -24794, 0, 3042, 0, 29304, 0, 50204, 0, -23715, 0, -6028, 0, 26523, 0, -18786, 0, -264, 0, -9229, 0, -11616, 0, -14985, 0, 0, 0, 41976, 0, -25916, 0, 7588, 0, 22887, 0, 2156, 0, 11220, 0, 51732, 0, -7678, 0, -19404, 0, -4108, 0, 18254, 0, 51436, 0, 0, 0, 7612, 0, 23232, 0, 5610, 0, 14916, 0, -38556, 0, -3762, 0, -37180, 0, 49063, 0, -31278, 0, 38500, 0, -630, 0, 47475, 0, 0, 0, -5971, 0, 20462, 0, 14679, 0, 20328, 0, -1778, 0, -4510, 0, -23012, 0, 4356, 0, -52360, 0, -11704, 0, -56247, 0, 5276, 0, 0, 0, -18155, 0, 10637, 0, 5500, 0, -1191, 0, 17694, 0, 3696, 0, -94850, 0, -28864, 0, 25417, 0, -8712, 0, 51610, 0, -6055, 0], 'weight': 4, 'weight_parity': 1}