Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 1856, 'analytic_conductor': 6.844221560665911, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [29, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [116, 1, [59, 89], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148344, 'field_disc_factorization': [[2, 3], [3, 1], [7, 1], [883, 1]], 'field_poly': [238, -70, -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, [-412, -37, 10, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321849972, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 20301, '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': True, 'label': '116.4.a.c', 'level': 116, '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, 29], 'level_radical': 58, 'minimal_twist': '116.4.a.c', 'nf_label': '3.3.148344.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-3-\\beta _{1})q^{3}+(-7+\\beta _{2})q^{5}+(4+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '116.4.a', 'trace_display': [0, -10, -20, 8], 'trace_hash': 531432102976281158, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '2.755', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.048', 'prec': 7}, {'__RealLiteral__': 0, 'data': '20.886', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.478', 'prec': 10}, {'__RealLiteral__': 0, 'data': '238.323', 'prec': 20}], 'trace_zratio': 0, 'traces': [3, 0, -10, 0, -20, 0, 8, 0, 93, 0, 86, 0, 124, 0, 54, 0, 14, 0, 88, 0, 280, 0, 68, 0, 111, 0, -334, 0, 87, 0, 326, 0, 110, 0, -784, 0, 166, 0, -682, 0, 34, 0, -946, 0, -242, 0, 234, 0, 1067, 0, -1428, 0, -1144, 0, 94, 0, 244, 0, 488, 0, 450, 0, -1096, 0, -1154, 0, -52, 0, -404, 0, 1196, 0, 2434, 0, -1868, 0, -312, 0, 742, 0, -849, 0, 464, 0, -672, 0, -290, 0, 1986, 0, 448, 0, -358, 0, 68, 0, -406, 0, 2540, 0, 1358, 0, -652, 0, 4456, 0, -1236, 0, 4148, 0, 800, 0, 654, 0, 4484, 0, 4054, 0, -1568, 0, 997, 0, -4744, 0, -3378, 0, 1228, 0, 2374, 0, -3120, 0, 0, 0, -1338, 0, -2974, 0, -48, 0, -6418, 0, 2094, 0, -580, 0, -8362, 0, -516, 0, -328, 0, 2618, 0, -2942, 0, -394, 0, 2698, 0, -10048, 0, 6058, 0, -5774, 0, 1932, 0, -601, 0, 2308, 0, -1590, 0, 7576, 0, -10300, 0, -4208, 0, 5160, 0, -3028, 0, -7556, 0, -4900, 0, 7336, 0, 1724, 0, 3282, 0, 6194, 0, -3918, 0, 3496, 0, -592, 0, 232, 0, -4028, 0, 7400, 0, 5444, 0, -5726, 0, -4836, 0, 8486, 0, 3864, 0, -9264, 0, 3920, 0, 4628, 0, 1299, 0, -1048, 0, 934, 0, 20832, 0, -7256, 0, 3166, 0, -23534, 0, 2548, 0, -2940, 0, 1292, 0, 1756, 0, 1908, 0, 9124, 0, 9974, 0, 11292, 0, 11788, 0, -6720, 0, 16048, 0, 2697, 0, 1270, 0, -358, 0, -5624, 0, 14002, 0, -8094, 0, 5144, 0, -11588, 0, 3090, 0, 7880, 0, -6696, 0, -9168, 0, -6340, 0, -1568, 0, 297, 0, -728, 0, -1646, 0, -11612, 0, -15058, 0, -1772, 0, -8440, 0, -7112, 0, 16120, 0, -1426, 0, 20820, 0, 16964, 0, 16064, 0, -24640, 0, -1062, 0, 2494, 0, 1040, 0, -6272, 0, 12722, 0, -26730, 0, -20104, 0, -10630, 0, -4010, 0, 6040, 0, 18918, 0, -19932, 0, 9994, 0, -27248, 0, -37388, 0, 1608, 0, -1184, 0, -11338, 0, -7306, 0, -23364, 0, -11872, 0, 13030, 0, -14537, 0, 22068, 0, -15420, 0, -4748, 0, 6514, 0, 10688, 0, -7456, 0, 43842, 0, 3596, 0, -7976, 0, 26996, 0, 16920, 0, -10248, 0, -25588, 0, 14102, 0, -7784, 0, 12204, 0, -238, 0, 568, 0, 21072, 0, 6664, 0, 12786, 0, 26296, 0, -4080, 0, -10666, 0, -21904, 0, 672, 0, 12116, 0, 15692, 0, -11000, 0, 2458, 0, 23256, 0, 25774, 0, -40096, 0, -870, 0, -3956, 0, 22722, 0, 1566, 0, 11160, 0, 3852, 0, 51557, 0, 6440, 0, -17548, 0, 24414, 0, 5470, 0, -20520, 0, 46920, 0, -39440, 0, -10274, 0, 84, 0, 546, 0, 19468, 0, 8374, 0, -23546, 0, -13056, 0, -32896, 0, -25098, 0, -13012, 0, -41218, 0, 12266, 0, 10604, 0, 94864, 0, -25228, 0, -17376, 0, 3658, 0, -4318, 0, 406, 0, 13624, 0, 32272, 0, 14208, 0, 2156, 0, 20802, 0, -15148, 0, -18124, 0, -11816, 0, 2576, 0, -14732, 0, 8292, 0, -754, 0, -21348, 0, 30596, 0, 852, 0, -85120, 0, -4228, 0, 34163, 0, 24116, 0, 14468, 0, -23120, 0, 3116, 0, 33910, 0, 5030, 0, -1150, 0, -27546, 0, -50740, 0, 36126, 0, 2552, 0, -49560, 0, 47816, 0, 4890, 0, -39722, 0, -41692, 0, 27130, 0, -9792, 0, -64648, 0, 24310, 0, 7220, 0, -15500, 0, -69416, 0, -15874, 0, 37696, 0, -7840, 0, -52110, 0, -19940, 0, -4408, 0, 10940, 0, 18828, 0, -9980, 0, -28784, 0, -48376, 0, 32702, 0, -2062, 0, 5612, 0, 12510, 0, -40166, 0, 8120, 0, 16222, 0, 10988, 0, 54176, 0, -18910, 0, -33326, 0, -57476, 0, 15904, 0, 38403, 0, 14060, 0, 140, 0, 30580, 0, -24206, 0, 31900, 0, 44844, 0, 23384, 0, -5266, 0, 8380, 0, -30566, 0, 1948, 0, -28748, 0, 18048, 0, -5402, 0, -13812, 0, 78562, 0, 8638, 0, 44970, 0, -57764, 0, -8928, 0, 1972, 0, 18940, 0, 46556, 0, 5588, 0, 34528, 0, -16366, 0, 50624, 0, -24364, 0, 1548, 0, 93700, 0, -38184, 0, -37070, 0, -9956, 0, -61584, 0, 20716, 0, 54068, 0, 56438, 0, -41844, 0, -2616, 0, -5406, 0, 10640, 0, -25852, 0, 69832, 0, -3372, 0, 15018, 0, 20020, 0, 52692, 0, 27664, 0, 76090, 0, 3219, 0, 73236, 0, -29445, 0, -980, 0, -14546, 0, -27722, 0, 7600, 0, -32370, 0, 3804, 0, -39588, 0, -11610, 0, 8252, 0, 53264, 0, -24916, 0, 10838, 0, -16704, 0, 42882, 0, -68076, 0, -82890, 0, -14960, 0, -16884, 0, 45876, 0, 39214, 0, 42014, 0, -38714, 0, 14848, 0, -97888, 0, -25128, 0, 956, 0, -9686, 0, -36476, 0, -26480, 0, -12974, 0, -22896, 0, 2536, 0, 48862, 0, -29054, 0, 48020, 0, 55266, 0, 67936, 0, 29120, 0, -109988, 0, -12326, 0, -14588, 0, -38594, 0, -36910, 0, -26508, 0, -35840, 0, -24780, 0, -43980, 0, 16936, 0, 2474, 0, 10450, 0, -103876, 0, 35294, 0, 67900, 0, -26422, 0, 53074, 0, 2523, 0, -20730, 0, -28982, 0, 15128, 0, -25540, 0, -86528, 0, 38930, 0, 12776, 0, 17056, 0, -29166, 0, -74512, 0, -4396, 0, 18624, 0, 55570, 0, -32494, 0, -6312, 0, -36358, 0, -3360, 0, 14000, 0, -44644, 0, 42206, 0, -51964, 0, 119020, 0, -97986, 0, -14720, 0, -14734, 0, -6236, 0, 58564, 0, 7604, 0, 9454, 0, 21784, 0, -50624, 0, -106502, 0, 57032, 0, 41174, 0, -37022, 0, 75732, 0, -137220, 0, 64512, 0, -27924, 0, 8046, 0, 66524, 0, 86642, 0, -53560, 0, -10434, 0, 29816, 0, 8884, 0, 55468, 0, 646, 0, 758, 0, -51964, 0, -52448, 0, 59320, 0, 38070, 0, 102100, 0, 86532, 0, 16832, 0, -36628, 0, 3190, 0, -219312, 0, -48767, 0, -63516, 0, 21548, 0, -32510, 0, -44408, 0, -10624, 0, -9856, 0, -111488, 0, 46328, 0, 51304, 0, 154502, 0, 2890, 0, -9552, 0, 95632, 0, 9068, 0, 6348, 0, 14578, 0, -8048, 0, 14606, 0, 50072, 0], 'weight': 4, 'weight_parity': 1}