Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 33300, 'analytic_conductor': 66.47545968271592, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [37, -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': [8325, 1, [3701, 7327, 5626], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 65657, 'field_disc_factorization': [[65657, 1]], 'field_poly': [1, 5, 2, -5, -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': [[2, [-3, 5, 4, -5, -1, 1]], [7, [-111, 92, 12, -19, 0, 1]], [11, [355, -173, -119, 83, -16, 1]], [13, [379, 198, -125, -45, 3, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538940037, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 256090, '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': '8325.2.a.cd', 'level': 8325, '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': [3, 5, 37], 'level_radical': 555, 'minimal_twist': '925.2.a.g', 'nf_label': '5.5.65657.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{2}+\\beta _{1}q^{4}+(\\beta _{2}+\\beta _{3}+\\beta _{4})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8325.2.a', 'trace_display': [1, 0, 0, 0], 'trace_hash': 811988689141765194, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.094', 'prec': 7}, {'__RealLiteral__': 0, 'data': '4.835', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.725', 'prec': 14}, {'__RealLiteral__': 0, 'data': '69.756', 'prec': 17}, {'__RealLiteral__': 0, 'data': '50.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1614.493', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 4}, 'traces': [5, 1, 0, 1, 0, 0, 0, 0, 0, 0, 16, 0, -3, 5, 0, -11, -2, 0, -11, 0, 0, 19, 7, 0, 0, 4, 0, -7, 15, 0, -13, 1, 0, 13, 0, 0, 5, 2, 0, 0, 13, 0, -7, 6, 0, -3, 2, 0, 3, 0, 0, 24, -20, 0, 0, 7, 0, -28, 32, 0, 1, -21, 0, 2, 0, 0, -3, 8, 0, 0, 26, 0, 12, 1, 0, -13, 5, 0, -3, 0, 0, -2, -14, 0, 0, 16, 0, -22, 20, 0, 12, 39, 0, 37, 0, 0, -15, -12, 0, 0, -4, 0, 7, 18, 0, -4, -2, 0, -23, 0, 0, 26, -5, 0, 0, -19, 0, 5, 22, 0, 35, 25, 0, -4, 0, 0, -29, -18, 0, 0, 57, 0, 52, 7, 0, 23, -7, 0, -27, 0, 0, 13, 11, 0, 0, -32, 0, 1, 2, 0, 8, 0, 0, 27, 0, 0, 15, -18, 0, 0, -19, 0, 10, -18, 0, -24, 14, 0, 34, 0, 0, 9, -42, 0, 0, -24, 0, 20, 18, 0, 28, 67, 0, 22, 0, 0, -27, -5, 0, 0, -11, 0, -7, 21, 0, -4, 79, 0, 16, 0, 0, -7, -20, 0, 0, -17, 0, -4, -9, 0, 31, -24, 0, 9, 0, 0, -60, -33, 0, 0, 1, 0, 26, -34, 0, 62, 22, 0, -10, 0, 0, -6, 0, 0, 0, -32, 0, -52, 26, 0, 26, 91, 0, -2, 0, 0, 44, -30, 0, 0, 16, 0, 39, -35, 0, 7, 20, 0, 0, 0, 0, 28, -6, 0, 0, 18, 0, 3, 43, 0, 5, -10, 0, -25, 0, 0, -14, -61, 0, 0, -30, 0, -15, 16, 0, 25, -31, 0, 47, 0, 0, 46, -19, 0, 0, 0, 0, -35, 115, 0, -23, -31, 0, 72, 0, 0, -43, -11, 0, 0, 54, 0, -41, -16, 0, -45, 49, 0, 27, 0, 0, 113, -27, 0, 0, 6, 0, -28, 67, 0, 19, -18, 0, 0, 0, 0, 83, 105, 0, 0, -26, 0, -36, -8, 0, -20, 1, 0, 48, 0, 0, 7, 16, 0, 0, 23, 0, 13, 35, 0, 36, -39, 0, 22, 0, 0, 25, -52, 0, 0, 95, 0, -22, 69, 0, -27, -54, 0, -38, 0, 0, -63, 0, 0, 0, 44, 0, -68, -11, 0, -36, -16, 0, 32, 0, 0, -24, -48, 0, 0, 1, 0, -4, 85, 0, 38, 16, 0, 38, 0, 0, -28, 14, 0, 0, -39, 0, -25, 27, 0, 33, 49, 0, 50, 0, 0, -2, -37, 0, 0, 74, 0, 58, 42, 0, -20, -8, 0, 8, 0, 0, 104, -18, 0, 0, 76, 0, -24, -39, 0, 30, 7, 0, -24, 0, 0, 34, 63, 0, 0, 42, 0, -96, -16, 0, 36, 23, 0, 36, 0, 0, -26, -26, 0, 0, 72, 0, 23, 76, 0, -3, 84, 0, 6, 0, 0, 53, -46, 0, 0, 17, 0, -125, 67, 0, 17, 38, 0, 2, 0, 0, 21, 10, 0, 0, 31, 0, -25, -8, 0, -76, 25, 0, -27, 0, 0, 80, 5, 0, 0, -28, 0, 88, 38, 0, -139, -148, 0, 76, 0, 0, -9, -103, 0, 0, 29, 0, -16, 9, 0, 7, 75, 0, -134, 0, 0, 66, 31, 0, 0, -17, 0, -12, 72, 0, -9, 23, 0, -26, 0, 0, 31, 150, 0, 0, 6, 0, 10, -37, 0, -71, 106, 0, -45, 0, 0, 21, -64, 0, 0, -79, 0, -109, 70, 0, -55, 54, 0, 8, 0, 0, -11, -10, 0, 0, -51, 0, 98, -12, 0, 51, -64, 0, 60, 0, 0, 6, 3, 0, 0, 50, 0, 4, 87, 0, -7, 47, 0, -79, 0, 0, -43, 20, 0, 0, -21, 0, 38, -2, 0, -15, 5, 0, 44, 0, 0, -27, -73, 0, 0, 37, 0, 10, -2, 0, -69, 31, 0, 93, 0, 0, -4, 9, 0, 0, -27, 0, 7, 19, 0, 8, -53, 0, -43, 0, 0, 0, -15, 0, 0, 64, 0, -3, -8, 0, 63, 61, 0, 40, 0, 0, -153, 12, 0, 0, -16, 0, -17, 2, 0, -45, -65, 0, -19, 0, 0, -33, -38, 0, 0, -59, 0, -11, -54, 0, -3, -40, 0, -45, 0, 0, 45, 34, 0, 0, -53, 0, -102, -61, 0, 73, 45, 0, -42, 0, 0, 11, -75, 0, 0, 89, 0, 76, 6, 0, -4, -32, 0, -21, 0, 0, -80, -9, 0, 0, -30, 0, 115, 19, 0, -48, 53, 0, -131, 0, 0, -173, 44, 0, 0, 74, 0, -3, -27, 0, 137, -127, 0, -31, 0, 0, -74, 24, 0, 0, -102, 0, 67, -81, 0, 115, 214, 0, -14, 0, 0, 23, 34, 0, 0, -1, 0, 2, -65, 0, -17, 90, 0, 8, 0, 0, -23, -56, 0, 0, -183, 0, 66, -86, 0, -23, -115, 0, 19, 0, 0, -68, -89, 0, 0, -55, 0, 33, 40, 0, -47, -62, 0, 88, 0, 0, -153, -79, 0, 0, -70, 0, 28, 35, 0, 62, 83, 0, 70, 0, 0, 101, 89, 0, 0, 7, 0, 31, 0, 0, -35, -96, 0, -45, 0, 0, -35, 63, 0, 0, -28, 0, -54, -103, 0, 11, 26, 0, 103, 0, 0, 118, -117, 0, 0, -33, 0, -38, 51, 0, 78, -125, 0, 11, 0, 0, 32, 115, 0, 0, -42, 0, 1, 100, 0, 148, 3, 0, -79, 0, 0, -70, -15, 0, 0, 10, 0, -47, 20, 0, 37, -104, 0, 95, 0, 0, 15, 71, 0, 0, 26, 0, 149, 93, 0, -30, 31, 0, 20, 0, 0, -55, -38, 0, 0, 47, 0, -81, -29, 0, 35, -75, 0, 22, 0, 0, 109, -4, 0, 0, -10, 0, 112, -65, 0, 92, 4, 0, -20, 0, 0, 36, -83, 0, 0, -61, 0, -3, -111, 0, 17, -99, 0, 16, 0, 0, -173, -56, 0, 0, 7, 0, -29, -46, 0, 47, 165, 0, 87, 0, 0, 70, -39, 0, 0, 115, 0, -27, -42, 0, -61, 119, 0, -55, 0, 0, 151, 2, 0, 0, 19, 0, -17, 36, 0, -37, 40, 0, 45, 0, 0, -202, -36, 0, 0, 8, 0, 103, 127, 0, -7, -44, 0, 123, 0, 0, 23, 27, 0, 0, -20, 0, -65, 46, 0, 12, -14, 0, 60, 0, 0, -102, -31, 0, 0, 0, 0, -50, -110, 0, -146, 42, 0, 7, 0, 0, 6, 15, 0, 0, 16, 0, -55, -76, 0, -3, -105, 0, 4, 0, 0, 105, 31, 0, 0, 166, 0, -53, 62, 0, -15, -5, 0, -145, 0, 0, 102, 107, 0, 0, -177, 0, 81, -79, 0, -7, 107, 0, -152, 0, 0, 38, -11, 0, 0, -60, 0, 98, -5, 0, 110, 11, 0, 19, 0, 0, 69, -25, 0, 0, -37, 0, -134, 113, 0, -7, 92, 0, 139, 0, 0, -13, -41, 0, 0, 40, 0, 108, -76, 0, 2, -15, 0, 24, 0, 0, -13, -6, 0, 0, -26, 0, -138, 0, 0, 65, -36, 0, -143, 0, 0, 0, 45, 0, 0, 55, 0, -49, 1, 0, -58, -38, 0, 99, 0, 0, -13, 124, 0, 0, 123, 0, 23, -131, 0, -33, 135, 0, 76, 0, 0, -25, 65, 0, 0, -1, 0, 92, 30, 0, -90, -129, 0, -128, 0, 0, 129, 21, 0, 0, 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0, 0, 38, 0, 65, 53, 0, 81, -58, 0, -84, 0, 0, -114, -34, 0, 0, 46, 0, -89, -26, 0, -108, -195, 0, -55, 0, 0, 31, -45, 0, 0, -111, 0, 213, -77, 0, -8, 13, 0, 106, 0, 0, -83, 0, 0, 0, -42, 0, 63, -255, 0, -34, -42, 0, -89, 0, 0, -135, 39, 0, 0, -32, 0, 50, -91, 0, 115, 90, 0, -44, 0, 0, 151, -64, 0, 0, 113, 0, -70, 22, 0, -1, 140, 0, 1, 0, 0, 41, 95, 0, 0, 126, 0, 90, -170, 0, 46, -38, 0, -78, 0, 0, -45, 21, 0, 0, -31, 0, 13, 16, 0, -7, 12, 0, -142, 0, 0, 128, -31, 0, 0, 13, 0, -12, 27, 0, -22, -7, 0, -104, 0, 0, -145, 192, 0, 0, -91, 0, 26, 62, 0, 44, -5, 0, -60, 0, 0, -88, 6, 0, 0, -18, 0, 119, -135, 0, -112, -97, 0, -8, 0, 0, -12, -183, 0, 0, 16, 0, 36, -156, 0, -7, -78, 0, 20, 0, 0, 32, 203, 0, 0, -57, 0, -65, -92, 0, 38, 71, 0, -46, 0, 0, 38, 171, 0, 0, 20, 0, 160, 132, 0, -64, -69, 0, 22, 0, 0, 175, 21, 0, 0, -126, 0, -25, 61, 0, -149, 98, 0, -1, 0, 0, -3, -29, 0, 0, -96, 0, 10, -5, 0, 158, 49, 0, -54, 0, 0, 25, 32, 0, 0, 134, 0, 113, -31, 0, 66, 52, 0, -145, 0, 0, -17, -11, 0, 0, -114, 0, -76, 2, 0, -166, 117, 0, 50, 0, 0, -124, -70, 0, 0, 40, 0, 87, -23, 0, 65, 117, 0, 99, 0, 0, -27, 13, 0, 0, -123, 0, -57, -12, 0, 56, -33, 0, -11, 0, 0, -219, -14, 0, 0, 137, 0, 17, -89, 0, -37, 29, 0, -196, 0, 0, -81, 31, 0, 0, -40, 0, 39, -131, 0, 27, -247, 0, -97, 0, 0, -55, 26, 0, 0, -35, 0, 3, -84, 0, 36, -267, 0, 0, 0, 0, 175, -11, 0, 0, -181, 0, 55, -83, 0, -27, -17, 0, 94, 0, 0, 18, 140, 0, 0, -67, 0, 168, -133, 0, 147, 78, 0, -88, 0, 0, -87, 8, 0, 0, 68, 0, 82, 188, 0, -114, 19, 0, -27, 0, 0, -59, 76, 0, 0, 44, 0, 121, 24, 0, 53, 47, 0, 74, 0, 0, -163, -183, 0, 0, -167, 0, 56, -74, 0, 43, 81, 0, -8, 0, 0, -124, 24, 0, 0, 32, 0, -103, -194, 0, 13, 161, 0, -49, 0, 0, 54, 129, 0, 0, -83, 0, 188, -27, 0, 18, -70, 0, 24, 0, 0, -61, -11, 0, 0, 150, 0, 10, -81, 0, 23, -72, 0, -55, 0, 0, -116, -102, 0, 0, -94, 0, -80, -107, 0, 251, 29, 0, -24, 0, 0, 69, 185, 0, 0, -20, 0, 51, -114, 0, -70, 109, 0, 19, 0, 0, -84, -138, 0, 0, -131, 0, 78, 14, 0, 76, 65, 0, -13, 0, 0, 63, -34, 0, 0, 33, 0, 40, 54, 0, 13, -88, 0, -14, 0, 0, 229, -138, 0, 0, -88, 0, 41, 57, 0, 78, -9, 0, 27, 0, 0, -141, -58, 0, 0, -34, 0, 57, 147, 0, 45, 86, 0, -61, 0, 0, 85, 19, 0, 0, -78, 0, -52, -15, 0, -7, -53, 0, 18, 0, 0, -14, 18, 0, 0, 114, 0, 14, -172, 0, -49, -39, 0, 50, 0, 0, 90, -83, 0, 0, 130, 0, -10, -1, 0, 31, 7, 0, 24, 0, 0, -140, -122, 0, 0, -110, 0, -170, -147, 0, 15, 83, 0, 0, 0, 0, -28, -40, 0, 0, -181, 0, 115, 262, 0, -149, 0, 0, 139, 0, 0, -30, -115, 0, 0, 39, 0, 121, 64, 0, 226, 0, 0, -40, 0, 0, 81, 36, 0, 0, -17, 0, -119, -45, 0, 192, -35, 0, -63, 0, 0, 58, 112, 0, 0, 139, 0, 83, -119, 0, -28, 17, 0, 19, 0, 0, -56, -40, 0, 0, -68, 0, -279, -43, 0, 165, 256, 0, 70, 0, 0, 241, -160, 0, 0, -83, 0, -112, -228, 0, 102, -143, 0, 17, 0, 0, -6, 32, 0, 0, -20, 0, 26, 95, 0, -28, -11, 0, 153, 0, 0, 21, 85, 0, 0, -91, 0, -15, -116, 0, -13, 4, 0, -5, 0, 0, 1, 33, 0, 0, -61, 0, 31, 71, 0, -176, 26, 0, 5, 0, 0, -130, 104, 0, 0, -210, 0, -11, 107, 0, -8, 42, 0, -40, 0, 0, -48, -5, 0, 0, -83, 0, -45, -91, 0, -82, 1, 0, -198, 0, 0, 1, -137, 0, 0, -226, 0, -42, 68, 0, -7, -3, 0, -167, 0, 0, -22, -18, 0, 0, -30, 0, -64, 23, 0, -101, -21, 0, -42, 0, 0, 2, -71, 0, 0, 24, 0, 30, -21, 0, 77, -64, 0, 136, 0, 0, 71, -60, 0, 0, 212, 0, -46, -45, 0, 99, 80, 0, 174, 0, 0, 41, -77, 0, 0, 73, 0, 348, -57, 0, -256, -124, 0, -237, 0, 0, -9, -118, 0, 0, -60, 0, -52, 154, 0, 59, 40, 0, 42, 0, 0, -193, -55, 0, 0, -24, 0, 73, -5, 0, -58, -85, 0, 44, 0, 0, 33, 177, 0, 0, -103, 0, 2, -78, 0, -9, -106, 0, -3, 0, 0, -63, 56, 0, 0, 37, 0, -83, 71, 0, 35, -87, 0, 45, 0, 0, 6, 242, 0, 0, 128, 0, -175, 44, 0, -199, 110, 0, 35, 0, 0, 120, 118, 0, 0, 122, 0, 99, 120, 0, -152, 73, 0, 180, 0, 0, -68, -14, 0, 0, -26, 0, 146, -175, 0, 205, -92, 0, -154, 0, 0, 18, 327, 0, 0, 212, 0, -96, 97, 0, 60, -3, 0, -85, 0, 0, 101, 243, 0, 0, -108, 0, -187, 2, 0, -163, 59, 0, -30, 0, 0, 113, -80, 0, 0, -9, 0, -107, 107, 0, -51, -114, 0, -3, 0, 0, 188, -59, 0, 0, 154, 0, 42, -229, 0, 67, 87, 0, 51, 0, 0, 4, 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'weight_parity': 1}