Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 26656, 'analytic_conductor': 53.212307906981245, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [17, 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': [6664, 1, [4999, 3333, 4217, 785], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 30091192, 'field_disc_factorization': [[2, 3], [593, 1], [6343, 1]], 'field_poly': [2, -23, 18, 10, -9, -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, [2, -23, 18, 10, -9, -1, 1]], [5, [4, -36, 37, 12, -15, -1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326230024, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 230799, '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': '6664.2.a.s', 'level': 6664, '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, 17], 'level_radical': 238, 'minimal_twist': '952.2.q.c', 'nf_label': '6.6.30091192.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}-\\beta _{4}q^{5}+\\beta _{2}q^{9}+(-1+\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6664.2.a', 'trace_display': [0, 1, 1, 0], 'trace_hash': 2032283785854199574, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '5.640', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '93.291', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '2326.384', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 4}, 'traces': [6, 0, 1, 0, 1, 0, 0, 0, 1, 0, -6, 0, -2, 0, 0, 0, -6, 0, 2, 0, 0, 0, -5, 0, 1, 0, -8, 0, -15, 0, 8, 0, 11, 0, 0, 0, -16, 0, -2, 0, 4, 0, 24, 0, 2, 0, -1, 0, 0, 0, -1, 0, -32, 0, -25, 0, -19, 0, -6, 0, 10, 0, 0, 0, -26, 0, 27, 0, -22, 0, -12, 0, 15, 0, 24, 0, 0, 0, -21, 0, -30, 0, -20, 0, -1, 0, -9, 0, -33, 0, 0, 0, -29, 0, -15, 0, -9, 0, 2, 0, 29, 0, 30, 0, 0, 0, -15, 0, -5, 0, -50, 0, -4, 0, -11, 0, -19, 0, 0, 0, -10, 0, -9, 0, 0, 0, -8, 0, 3, 0, 1, 0, 0, 0, -25, 0, -44, 0, 4, 0, 3, 0, 37, 0, -18, 0, 0, 0, -10, 0, -18, 0, -1, 0, 17, 0, -13, 0, 31, 0, 0, 0, -15, 0, -27, 0, -21, 0, -22, 0, 21, 0, 14, 0, 0, 0, -51, 0, 1, 0, -6, 0, 8, 0, 32, 0, 6, 0, 0, 0, -48, 0, -31, 0, -7, 0, -15, 0, 31, 0, -6, 0, 0, 0, -49, 0, 3, 0, -36, 0, 5, 0, 27, 0, 57, 0, 0, 0, -17, 0, 2, 0, -73, 0, -44, 0, -14, 0, 9, 0, 0, 0, -42, 0, 12, 0, -10, 0, -22, 0, 40, 0, 27, 0, 0, 0, -36, 0, -51, 0, -55, 0, -18, 0, 0, 0, -2, 0, 0, 0, -22, 0, 19, 0, -23, 0, 12, 0, 34, 0, 18, 0, 0, 0, -10, 0, -50, 0, -26, 0, -38, 0, -3, 0, -36, 0, 0, 0, 6, 0, -18, 0, -23, 0, 39, 0, 34, 0, -4, 0, 0, 0, -15, 0, -84, 0, -17, 0, 9, 0, -19, 0, 21, 0, 0, 0, -44, 0, 4, 0, -10, 0, -2, 0, 11, 0, 89, 0, 0, 0, -14, 0, 6, 0, -9, 0, -23, 0, -26, 0, -42, 0, 0, 0, -14, 0, 46, 0, -15, 0, 41, 0, 12, 0, 25, 0, 0, 0, -43, 0, 10, 0, -18, 0, -30, 0, 11, 0, 23, 0, 0, 0, -29, 0, 49, 0, 20, 0, 26, 0, -5, 0, 25, 0, 0, 0, 11, 0, -55, 0, 5, 0, 37, 0, 19, 0, 50, 0, 0, 0, -36, 0, 21, 0, -43, 0, -47, 0, -3, 0, 60, 0, 0, 0, -39, 0, -47, 0, -27, 0, -67, 0, 10, 0, -1, 0, 0, 0, -47, 0, -30, 0, 53, 0, 4, 0, 71, 0, -50, 0, 0, 0, -2, 0, -69, 0, -81, 0, -44, 0, 1, 0, -41, 0, 0, 0, -35, 0, 8, 0, -33, 0, 89, 0, 43, 0, 27, 0, 0, 0, -84, 0, -112, 0, -67, 0, -62, 0, -36, 0, -19, 0, 0, 0, -5, 0, -1, 0, -31, 0, -16, 0, 15, 0, -19, 0, 0, 0, 41, 0, -9, 0, 18, 0, -10, 0, -72, 0, -54, 0, 0, 0, 2, 0, -31, 0, 70, 0, 46, 0, 29, 0, 5, 0, 0, 0, -8, 0, -77, 0, 48, 0, -9, 0, 37, 0, -58, 0, 0, 0, 10, 0, -3, 0, 86, 0, 62, 0, 19, 0, 51, 0, 0, 0, 26, 0, -82, 0, -102, 0, -11, 0, 44, 0, -48, 0, 0, 0, -14, 0, 104, 0, -26, 0, -52, 0, -27, 0, 101, 0, 0, 0, 42, 0, 36, 0, 26, 0, -60, 0, -10, 0, -18, 0, 0, 0, 37, 0, -36, 0, 44, 0, 32, 0, 26, 0, 107, 0, 0, 0, 56, 0, 16, 0, -72, 0, -23, 0, 11, 0, 26, 0, 0, 0, 0, 0, 107, 0, 16, 0, 16, 0, -15, 0, -27, 0, 0, 0, -59, 0, -19, 0, -67, 0, 46, 0, 2, 0, -25, 0, 0, 0, -53, 0, -40, 0, -3, 0, 2, 0, -75, 0, 2, 0, 0, 0, 68, 0, -21, 0, 33, 0, -22, 0, -58, 0, -59, 0, 0, 0, 14, 0, 30, 0, -40, 0, -2, 0, 41, 0, -19, 0, 0, 0, -19, 0, -4, 0, -2, 0, -67, 0, 14, 0, 2, 0, 0, 0, -29, 0, -9, 0, -30, 0, 58, 0, 55, 0, 5, 0, 0, 0, 33, 0, -41, 0, -51, 0, 7, 0, -24, 0, -77, 0, 0, 0, -33, 0, 143, 0, 116, 0, -4, 0, 9, 0, 5, 0, 0, 0, -93, 0, -30, 0, 143, 0, -24, 0, 22, 0, -87, 0, 0, 0, -2, 0, -28, 0, -47, 0, 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0, 42, 0, 158, 0, 0, 0, 60, 0, 54, 0, 0, 0, 155, 0, 32, 0, -104, 0, 84, 0, -45, 0, 8, 0, 0, 0, 15, 0, 57, 0, 77, 0, -9, 0, -34, 0, -120, 0, 0, 0, 23, 0, 84, 0, 134, 0, 10, 0, -27, 0, -164, 0, 0, 0, 66, 0, -100, 0, 26, 0, 19, 0, 23, 0, 47, 0, 0, 0, -44, 0, 4, 0, -52, 0, 12, 0, 42, 0, 10, 0, 0, 0, -4, 0, -10, 0, 30, 0, 20, 0, -6, 0, -27, 0, 0, 0, 70, 0, 87, 0, 127, 0, -128, 0, 4, 0, 38, 0, 0, 0, 96, 0, 70, 0, -118, 0, -110, 0, -140, 0, 70, 0, 0, 0, 63, 0, 22, 0, -103, 0, -5, 0, -86, 0, -55, 0, 0, 0, 28, 0, -58, 0, 84, 0, -2, 0, 29, 0, -51, 0, 0, 0, 82, 0, 15, 0, 23, 0, 49, 0, 12, 0, 21, 0, 0, 0, 31, 0, 106, 0, 38, 0, 36, 0, -11, 0, -58, 0, 0, 0, 123, 0, -15, 0, 66, 0, 65, 0, -14, 0, -52, 0, 0, 0, -15, 0, 125, 0, -44, 0, -93, 0, -38, 0, 75, 0, 0, 0, 73, 0, 12, 0, 133, 0, -41, 0, 34, 0, 72, 0, 0, 0, 64, 0, -145, 0, 11, 0, -24, 0, -34, 0, 26, 0, 0, 0, 21, 0, 185, 0, 59, 0, 87, 0, -155, 0, -6, 0, 0, 0, 30, 0, 252, 0, 64, 0, 91, 0, 63, 0, -50, 0, 0, 0, -2, 0, -16, 0, 167, 0, -6, 0, 80, 0, 125, 0, 0, 0, 48, 0, -25, 0, 100, 0, 21, 0, 84, 0, -50, 0, 0, 0, 121, 0, -39, 0, 21, 0, 10, 0, 0, 0, -80, 0, 0, 0, 128, 0, -13, 0, 29, 0, -66, 0, -49, 0, 7, 0, 0, 0, -111, 0, -4, 0, -61, 0, 18, 0, 81, 0, 30, 0, 0, 0, 72, 0, 37, 0, 147, 0, 89, 0, -53, 0, -61, 0, 0, 0, 63, 0, -4, 0, 14, 0, 66, 0, -8, 0, -55, 0, 0, 0, -6, 0, 20, 0, -82, 0, 16, 0, 3, 0, 77, 0, 0, 0, -26, 0, -26, 0, 90, 0, 10, 0, -20, 0, -255, 0, 0, 0, 99, 0, -121, 0, -16, 0, 78, 0, 1, 0, -222, 0, 0, 0, 9, 0, 200, 0, -10, 0, -82, 0, -265, 0, 127, 0, 0, 0, 16, 0, -65, 0, 124, 0, 59, 0, -25, 0, -116, 0, 0, 0, 9, 0, -101, 0, -11, 0, 91, 0, -6, 0, 21, 0, 0, 0, 0, 0, 16, 0, 3, 0, -95, 0, -141, 0, 70, 0, 0, 0, 200, 0, -38, 0, -20, 0, 33, 0, -117, 0, -72, 0, 0, 0, 7, 0, 71, 0, 69, 0, -33, 0, 73, 0, -2, 0, 0, 0, -35, 0, 184, 0, -10, 0, -57, 0, 89, 0, 39, 0, 0, 0, 16, 0, -111, 0, -1, 0, 102, 0, -144, 0, -17, 0, 0, 0, 114, 0, 70, 0, 6, 0, 31, 0, -99, 0, -121, 0, 0, 0, 120, 0, 51, 0, 29, 0, -12, 0, -134, 0, 35, 0, 0, 0, 22, 0, 77, 0, 133, 0, -17, 0, 92, 0, 94, 0, 0, 0, -14, 0, -119, 0, -13, 0, 88, 0, 18, 0, 15, 0, 0, 0, -33, 0, 106, 0, 142, 0, 22, 0, 81, 0, 65, 0, 0, 0, -29, 0, 101, 0, -130, 0, -105, 0, -93, 0, -144, 0, 0, 0, 17, 0, 9, 0, -77, 0, 149, 0, 58, 0, 92, 0, 0, 0, -32, 0, 62, 0, 27, 0, -32, 0, 23, 0, 53, 0, 0, 0, 85, 0, 106, 0, 18, 0, -20, 0, -2, 0, -161, 0, 0, 0, 44, 0, -23, 0, 72, 0, -71, 0, -11, 0, -82, 0, 0, 0, 34, 0, -33, 0, 321, 0, -92, 0, -27, 0, -18, 0, 0, 0, -29, 0, -74, 0, 150, 0, 89, 0, -26, 0, 32, 0, 0, 0, 93, 0, -40, 0, 84, 0, 77, 0, -41, 0, 271, 0, 0, 0, 113, 0, 3, 0, -205, 0, -30, 0, -10, 0, 72, 0, 0, 0, -91, 0, 202, 0, -22, 0, 127, 0, -151, 0, -78, 0, 0, 0, 142, 0, 115, 0, -63, 0, 46, 0, 31, 0, -57, 0, 0, 0, 115, 0, -49, 0, -14, 0, -115, 0, 148, 0, 82, 0, 0, 0, 37, 0, 194, 0, 186, 0, 49, 0, -21, 0, -82, 0, 0, 0, -58, 0, -46, 0, 15, 0, 61, 0, 86, 0, 104, 0, 0, 0, 53, 0, 57, 0, -188, 0, -121, 0, -193, 0, 30, 0, 0, 0, 165, 0, 83, 0, 96, 0, 50, 0, -20, 0, 5, 0, 0, 0, -24, 0, -40, 0, 111, 0, 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0, -86, 0, 134, 0, 77, 0, 0, 0, -168, 0, -58, 0, -65, 0, 8, 0, -1, 0, -156, 0, 0, 0, -177, 0, 21, 0, -226, 0, -74, 0, 8, 0, 35, 0, 0, 0, 89, 0, 73, 0, 57, 0, -275, 0, 31, 0, -134, 0, 0, 0, 26, 0, 57, 0, 173, 0, 149, 0, -23, 0, 69, 0, 0, 0, -3, 0, -284, 0, 29, 0, 14, 0, 24, 0, 160, 0, 0, 0, -6, 0, 41, 0, 219, 0, 204, 0, 74, 0, 139, 0, 0, 0, 3, 0, -137, 0, -62, 0, -1, 0, 50, 0, 128, 0, 0, 0, 48, 0, -40, 0, -36, 0, 67, 0, -100, 0, 44, 0, 0, 0, 13, 0, 126, 0, -155, 0, 61, 0, -89, 0, -57, 0, 0, 0, 169, 0, 209, 0, 267, 0, -159, 0, 83, 0, -63, 0, 0, 0, -104, 0, -170, 0, 34, 0, 91, 0, 92, 0, 15, 0, 0, 0, -17, 0, 194, 0, 25, 0, 264, 0, 120, 0, 49, 0, 0, 0, -184, 0, 22, 0, -148, 0, -41, 0, -13, 0, -246, 0, 0, 0, -138, 0, -97, 0, -24, 0, 234, 0, -6, 0, 44, 0, 0, 0, 31, 0, -105, 0, -7, 0, -88, 0, -163, 0, -199, 0, 0, 0, 90, 0, 127, 0, -69, 0, -100, 0, 17, 0, 27, 0, 0, 0, 67, 0, -4, 0, -189, 0, -22, 0, -102, 0, 5, 0, 0, 0, -186, 0, -93, 0, 159, 0, -190, 0, 57, 0, 35, 0, 0, 0, -12, 0, -149, 0, -70, 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0, 104, 0, 103, 0, 6, 0, -141, 0, -133, 0, 138, 0, 0, 0, -186, 0, -98, 0, -102, 0, -14, 0, -96, 0, -281, 0, 0, 0, -94, 0, -136, 0, -51, 0, -137, 0, -138, 0, 56, 0, 0, 0, 159, 0, 252, 0, -162, 0, -8, 0, -44, 0, 146, 0, 0, 0, 29, 0, 10, 0, 197, 0, -13, 0, 50, 0, -126, 0, 0, 0, -90, 0, 59, 0, -38, 0, 55, 0, 63, 0], 'weight': 2, 'weight_parity': 1}