Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 29624, 'analytic_conductor': 59.13720773696025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [23, -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': [7406, 1, [2117, 3179], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 449797, 'field_disc_factorization': [[449797, 1]], 'field_poly': [4, -1, -10, 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, [4, -1, -10, 0, 1]], [5, [-4, 15, -4, -4, 1]], [11, [64, -68, -31, 3, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227306222, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 242130, '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': True, 'label': '7406.2.a.bd', 'level': 7406, '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, 7, 23], 'level_radical': 322, 'minimal_twist': '7406.2.a.ba', 'nf_label': '4.4.449797.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta _{1}q^{3}+q^{4}+(1+\\beta _{1})q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7406.2.a', 'trace_display': [4, 0, 4, 4], 'trace_hash': 549119817960248176, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.049', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.596', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.195', 'prec': 10}, {'__RealLiteral__': 0, 'data': '35.324', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.689', 'prec': 14}, {'__RealLiteral__': 0, 'data': '515.934', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 4}, 'traces': [4, 4, 0, 4, 4, 0, 4, 4, 8, 4, -3, 0, -8, 4, 20, 4, -5, 8, 3, 4, 0, -3, 0, 0, 4, -8, 3, 4, 9, 20, -4, 4, -4, -5, 4, 8, 4, 3, -3, 4, 0, 0, 13, -3, 11, 0, -1, 0, 4, 4, 24, -8, 17, 3, -7, 4, -16, 9, -7, 20, 33, -4, 8, 4, -11, -4, 1, -5, 0, 4, -35, 8, -10, 4, 43, 3, -3, -3, 12, 4, 40, 0, 12, 0, 19, 13, -24, -3, 3, 11, -8, 0, 17, -1, -13, 0, -5, 4, -14, 4, -15, 24, -9, -8, 20, 17, 31, 3, 14, -7, 17, 4, -26, -16, 0, 9, -100, -7, -5, 20, 27, 33, -37, -4, 27, 8, 18, 4, 56, -11, -13, -4, 3, 1, 67, -5, -6, 0, -12, 4, -19, -35, 14, 8, -15, -10, 0, 4, 27, 43, 9, 3, 1, -3, 13, -3, -19, 12, -24, 4, 0, 40, 10, 0, -27, 12, 24, 0, 48, 19, 11, 13, -39, -24, 4, -3, -7, 3, -15, 11, 36, -8, -24, 0, 21, 17, -69, -1, 3, -13, 49, 0, -2, -5, -127, 4, 26, -14, 34, 4, -1, -15, 9, 24, -37, -9, 0, -8, -67, 20, -38, 17, 36, 31, 69, 3, -4, 14, 32, -7, -1, 17, 0, 4, 98, -26, 79, -16, 1, 0, -4, 9, 1, -100, -20, -7, 57, -5, -23, 20, 31, 27, 14, 33, 4, -37, -11, -4, -3, 27, -10, 8, 0, 18, 10, 4, -16, 56, 4, -11, 7, -13, 13, -4, -7, 3, -39, 1, 12, 67, 33, -5, -3, -6, -19, 0, 21, -12, -89, 4, 4, -19, 31, -35, 4, 14, 0, 8, 35, -15, -5, -10, -3, 0, -14, 4, -83, 27, 0, 43, 13, 9, 9, 3, 9, 1, 11, -3, -53, 13, -26, -3, -7, -19, 11, 12, 20, -24, 66, 4, 61, 0, 45, 40, -98, 10, 92, 0, -1, -27, -21, 12, -73, 24, 0, 0, 34, 48, -15, 19, 7, 11, 4, 13, 0, -39, -75, -24, -67, 4, -23, -3, -30, -7, 1, 3, 24, -15, -34, 11, 7, 36, 15, -8, 22, -24, 72, 0, 78, 21, 17, 17, 3, -69, 53, -1, -7, 3, -21, -13, 25, 49, 55, 0, -7, -2, 27, -5, -84, -127, 0, 4, -96, 26, 69, -14, 21, 34, -16, 4, -26, -1, 89, -15, 63, 9, 1, 24, -8, -37, -71, -9, -7, 0, 9, -8, -77, -67, 53, 20, -72, -38, -81, 17, 54, 36, 33, 31, 95, 69, -44, 3, -11, -4, 10, 14, 0, 32, 27, -7, 8, -1, 61, 17, -36, 0, 7, 4, 8, 98, 0, -26, 12, 79, -11, -16, 12, 1, 141, 0, 17, -4, -42, 9, -84, 1, -62, -100, 1, -20, 32, -7, 47, 57, -24, -5, 23, -23, -67, 20, 73, 31, 0, 27, -10, 14, -11, 33, -49, 4, 22, -37, -108, -11, -109, -4, -35, -3, -21, 27, -34, -10, 12, 8, -6, 0, 32, 18, -17, 10, -10, 4, 19, -16, -62, 56, -56, 4, 16, -11, 16, 7, 70, -13, 43, 13, 18, -4, 0, -7, -106, 3, -78, -39, 92, 1, 27, 12, -3, 67, 24, 33, -103, -5, 106, -3, 61, -6, 55, -19, -42, 0, 12, 21, -44, -12, 20, -89, -27, 4, -30, 4, -8, -19, -41, 31, 40, -35, -73, 4, 64, 14, -21, 0, 0, 8, 34, 35, -94, -15, 12, -5, 60, -10, -132, -3, 15, 0, -24, -14, 34, 4, -41, -83, 19, 27, -15, 0, 40, 43, -53, 13, 78, 9, 42, 9, 104, 3, -24, 9, 81, 1, -10, 11, 41, -3, 43, -53, 42, 13, 0, -26, 3, -3, 60, -7, 8, -19, 8, 11, 20, 12, -69, 20, 43, -24, -8, 66, -72, 4, 12, 61, 113, 0, 122, 45, -43, 40, 82, -98, 17, 10, -27, 92, -109, 0, -30, -1, -34, -27, -47, -21, -213, 12, -13, -73, 0, 24, 40, 0, 48, 0, -11, 34, 148, 48, 15, -15, -5, 19, 1, 7, 44, 11, -77, 4, -55, 13, -23, 0, 2, -39, -14, -75, -89, -24, -37, -67, 122, 4, 34, -23, -18, -3, -103, -30, -15, -7, 54, 1, -51, 3, 0, 24, 109, -15, 105, -34, -12, 11, -9, 7, -30, 36, -50, 15, 2, -8, -25, 22, -17, -24, 9, 72, 20, 0, 60, 78, 50, 21, 29, 17, -90, 17, 34, 3, -60, -69, 31, 53, 134, -1, -119, -7, 21, 3, 48, -21, 0, -13, -100, 25, 14, 49, 214, 55, 106, 0, -68, -7, -17, -2, -44, 27, -51, -5, 17, -84, 37, -127, 87, 0, -138, 4, 13, -96, -25, 26, -45, 69, -26, -14, -55, 21, 50, 34, -142, -16, 39, 4, -76, -26, 137, -1, 0, 89, 51, -15, 118, 63, 6, 9, -101, 1, -39, 24, -103, -8, -100, -37, 6, -71, -61, -9, -137, -7, -19, 0, -23, 9, -45, -8, -5, -77, -10, -67, 44, 53, -18, 20, 1, -72, -83, -38, 80, -81, 27, 17, -119, 54, 0, 36, -23, 33, -18, 31, -10, 95, 48, 69, -37, -44, -10, 3, -23, -11, -32, -4, -13, 10, -78, 14, -254, 0, 27, 32, -20, 27, -47, -7, -10, 8, 61, -1, -134, 61, 21, 17, 18, -36, -42, 0, 75, 7, 12, 4, 0, 8, -22, 98, -118, 0, 56, -26, -67, 12, -74, 79, -90, -11, 9, -16, -1, 12, 130, 1, -13, 141, 58, 0, -142, 17, 72, -4, -43, -42, 65, 9, -31, -84, 3, 1, 49, -62, -99, -100, 25, 1, -50, -20, -27, 32, 0, -7, 67, 47, 71, 57, 30, -24, -14, -5, 22, 23, 28, -23, 26, -67, -6, 20, -22, 73, -5, 31, -96, 0, -65, 27, 44, -10, 13, 14, -12, -11, -277, 33, -59, -49, -55, 4, 27, 22, 53, -37, 60, -108, -19, -11, 0, -109, 44, -4, 110, -35, 19, -3, 15, -21, 50, 27, 14, -34, -75, -10, 80, 12, -36, 8, -34, -6, 42, 0, 50, 32, -15, 18, -123, -17, 19, 10, 86, -10, 68, 4, 4, 19, 51, -16, 0, -62, 55, 56, -89, -56, 0, 4, -138, 16, 50, -11, -30, 16, 27, 7, -59, 70, -10, -13, 42, 43, -65, 13, -167, 18, -107, -4, 9, 0, -44, -7, 55, -106, 56, 3, -141, -78, -41, -39, 73, 92, 1, 1, -4, 27, 126, 12, -25, -3, 60, 67, 0, 24, -28, 33, 13, -103, 77, -5, -187, 106, 5, -3, -97, 61, -28, -6, 15, 55, -19, -19, -166, -42, 107, 0, -214, 12, -111, 21, -99, -44, -187, -12, -24, 20, 40, -89, 43, -27, -110, 4, -75, -30, -41, 4, 320, -8, 0, -19, 104, -41, 210, 31, -58, 40, 80, -35, -130, -73, -63, 4, 10, 64, -29, 14, -54, -21, 94, 0, -54, 0, -73, 8, 9, 34, -27, 35, 76, -94, -24, -15, 121, 12, 39, -5, 123, 60, -137, -10, 24, -132, 78, -3, 0, 15, -118, 0, -96, -24, -33, -14, 23, 34, 48, 4, 42, -41, -132, -83, 37, 19, 193, 27, -86, -15, 82, 0, 11, 40, 107, 43, -71, -53, -94, 13, 1, 78, 19, 9, -95, 42, -39, 9, 15, 104, 109, 3, -102, -24, 0, 9, 60, 81, -17, 1, 4, -10, 33, 11, 55, 41, -29, -3, -121, 43, 18, -53, 68, 42, -7, 13, -85, 0, -106, -26, -27, 3, 30, -3, 96, 60, 48, -7, -15, 8, -129, -19, 90, 8, -9, 11, 254, 20, 12, 12, 0, -69, 36, 20, -1, 43, -115, -24, -59, -8, 161, 66, 87, -72, 42, 4, -24, 12, -46, 61, -33, 113, 111, 0, 66, 122, 170, 45, 11, -43, 21, 40, 67, 82, 147, -98, -100, 17, 72, 10, -203, -27, -69, 92, -69, -109, 0, 0, 90, -30, -32, -1, 130, -34, 13, -27, -23, -47, 3, -21, -42, -213, -2, 12, 96, -13, -36, -73, 42, 0, -106, 24, 49, 40, -65, 0, 146, 48, 46, 0, 63, -11, 70, 34, -123, 148, -2, 48, -41, 15, -68, -15, 0, -5, 42, 19, 174, 1, -40, 7, -127, 44, 10, 11, -46, -77, 14, 4, 39, -55, -121, 13, -15, -23, 26, 0, -2, 2, 62, -39, -24, -14, -169, -75, 61, -89, 5, -24, 34, -37, 6, -67, -147, 122, 12, 4, 157, 34, 0, -23, -79, -18, -1, -3, -95, -103, -26, -30, -11, -15, -88, -7, -27, 54, -70, 1, 9, -51, -29, 3, 27, 0, -59, 24, -39, 109, -132, -15, -145, 105, -37, -34, -72, -12, 8, 11, -39, -9, -101, 7, 3, -30, 99, 36, 0, -50, 47, 15, -24, 2, -274, -8, 61, -25, -87, 22, -171, -17, -67, -24, -50, 9, 111, 72, 123, 20, -82, 0, 49, 60, -113, 78, -38, 50, 56, 21, -31, 29, -20, 17, -167, -90, 63, 17, -76, 34, 36, 3, -3, -60, 0, -69, -223, 31, -59, 53, -44, 134, 210, -1, 69, -119, 162, -7, 96, 21, -2, 3, 10, 48, -126, -21, -115, 0, -4, -13, 435, -100, 5, 25, -26, 14, 37, 49, 17, 214, -199, 55, 32, 106, -131, 0, 135, -68, 19, -7, 0, -17, 87, -2, -15, -44, -1, 27, -95, -51, 99, -5, -41, 17, 23, -84, -83, 37, 84, -127, 0, 87, -73, 0, -57, -138, -119, 4, 61, 13, 42, -96, 187, -25, 98, 26, 4, -45, -68, 69, -203, -26, -32, -14, 6, -55, 0, 21, 79, 50, 68, 34, -103, -142, 92, -16, 6, 39, 222, 4, 15, -76, 1, -26, 149, 137, 105, -1, 6, 0, -284, 89, 132, 51, 89, -15, -4, 118, -81, 63, 19, 6, -4, 9, -320, -101, 41, 1, -27, -39, 1, 24, 0, -103, 161, -8, -30, -100, -97, -37, 23, 6, -30, -71, -20, -61, -120, -9, 46, -137, 29, -7, -60, -19, 89, 0, 42, -23, 57, 9, -213, -45, -14, -8, 28, -5, 20, -77, -217, -10, 72, -67, -23, 44, 75, 53, -289, -18, 0, 20, -12, 1, 32, -72, 76, -83, 31, -38, 174, 80, 94, -81, 50, 27, -216, 17, -26, -119, -35, 54, 14, 0, 33, 36, 75, -23, 124, 33, 35, -18, 68, 31, -8, -10, 4, 95, 226, 48, 171, 69, -10, -37, 18, -44, 0, -10, -196, 3, -11, -23, -56, -11, -22, -32, -105, -4, -200, -13, 59, 10, -29, -78, -3, 14, -77, -254, 90, 0, 18, 27, 23, 32, -44, -20, -490, 27, -10, -47, 165, -7, 12, -10, -111, 8, -74, 61, 33, -1, 171, -134, 0, 61, 239, 21, 35, 17, 40, 18, -40, -36, 121, -42, -1, 0, 10, 75, 4, 7, -1, 12, -3, 4, -141, 0, -59, 8, -153, -22, -16, 98, -12, -118, -120, 0, -21, 56, -48, -26, -63, -67, -117, 12, 4, -74, -91, 79, 0, -90, 95, -11, 5, 9, -86, -16, 44, -1, 7, 12, 92, 130, 58, 1, 58, -13, -94, 141, -26, 58, -195, 0, 13, -142, 46, 17, -144, 72, -182, -4, 95, -43, -17, -42, -43, 65, -7, 9, -49, -31, -72, -84, -95, 3, 0, 1, -107, 49, -1, -62, -39, -99, 95, -100, 48, 25, 239, 1, 16, -50, -95, -20, 194, -27, 12, 32, 203, 0, -155, -7, 29, 67, -46, 47, 23, 71, -151, 57, 33, 30, 12, -24, -32, -14, 94, -5, 50, 22, 121, 23, 0, 28, -3, -23, 12, 26, 1, -67, 21, -6, 178, 20, 143, -22, 125, 73, -19, -5, -41, 31, -153, -96, -18, 0, -58, -65, 316, 27, -146, 44, 21, -10, 148, 13, 64, 14, -221, -12, 106, -11, 80, -277, 29, 33, -89, -59, 0, -49, 111, -55, 153, 4, 4, 27, -42, 22, -168, 53, 4, -37, 96, 60, -41, -108, -93, -19, 51, -11, -124, 0, -127, -109, 31, 44, -184, -4, 214, 110, -4, -35, 57, 19, 1, -3, -89, 15, 4, -21, 26, 50, -35, 27, 0, 14, -20, -34, -120, -75, 6, -10, 0, 80, 1, 12, 2, -36, -6, 8, 57, -34, -25, -6, -117, 42, 35, 0, 173, 50, 148, 32, -95, -15, -117, 18, 35, -123, 61, -17, -5, 19, -53, 10, 11, 86, 82, -10, 25, 68, 0, 4, -243, 4, -3, 19, -58, 51, -210, -16, 30, 0, -54, -62, 237, 55, -22, 56, -14, -89, 204, -56, -12, 0, -199, 4, 118, -138, -78, 16, -78, 50, -83, -11, -57, -30, -29, 16, -65, 27, -40, 7, -11, -59, 193, 70, 0, -10, 143, -13, 180, 42, -34, 43, 28, -65, 19, 13, -60, -167, 13, 18, 1, -107, -116, -4, 44, 9, -139, 0, 75, -44, -111, -7, 9, 55, 171, -106, 120, 56, -61, 3, 55, -141, 66, -78, 184, -41, 9, -39, -121, 73, 0, 92, 42, 1, -77, 1, 248, -4, 121, 27, 11, 126, 213, 12, -96, -25, -33, -3, 223, 60, 136, 67, -208, 0, -53, 24, 136, -28, -177, 33, 232, 13, -210, -103, 37, 77, -118, -5, -26, -187, 183, 106, 78, 5, 78, -3, 0, -97, 42, 61, -151, -28, -7, -6, 24, 15, 157, 55, -331, -19, -85, -19, 73, -166, 70, -42, 11, 107, -34, 0, -33, -214, -76, 12, 77, -111, 157, 21, 91, -99, 20, -44, -155, -187, -79, -12, -157, -24, -31, 20, 9, 40, 0, -89, 66, 43, 234, -27, 77, -110, 14, 4, -8, -75, 57, -30, 78, -41, 61, 4, 83, 320, 146, -8, 48, 0, -41, -19, 20, 104, 198, -41, 45, 210, 52, 31, 81, -58, -63, 40, 144, 80, 237, -35, -96, -130, -98, -73, 0, -63, 56, 4, -51, 10, -68, 64, 26, -29, -10, 14, 92, -54, -34, -21, 94, 94, 129, 0, -13, -54, 54, 0, 124, -73, -1, 8, 79, 9, 263, 34, -12, -27, 48, 35, 49, 76, 19, -94, -21, -24, -142, -15, -101, 121, 0, 12, -124, 39, 284, -5, -221, 123, -73, 60, 88, -137, 95, -10, -37, 24, -4, -132, -84, 78, 1, -3, 0, 0, 20, 15, 55, -118, 52, 0, 27, -96, -36, -24, 8, -33, 34, -14, -114, 23, -70, 34, -23, 48, 125, 4, 0, 42, 54, -41, -15, -132, 68, -83, -60, 37, 192, 19, -143, 193, 38, 27, -181, -86, 7, -15, 9, 82, 31, 0, 53, 11, -139, 40, -145, 107, -189, 43, 4, -71, -62, -53, -28, -94, 38, 13, -12, 1, -131, 78, 122, 19, 0, 9, 9, -95, -78, 42, -219, -39, -14, 9, -259, 15, 35, 104, -75, 109, -32, 3, 29, -102, -182, -24, -71, 0, 127, 9, 79, 60, -67, 81, 92, -17, -175, 1, 120, 4, 4, -10, -8, 33, 71, 11, -23, 55, 109, 41, 0, -29, 92, -3, -52, -121, 118, 43, -63, 18, -30, -53, 134, 68, -287, 42, 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