Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 11100, 'analytic_conductor': 22.158486560905306, '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': [2775, 1, [926, 1777, 76], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 257, 'field_disc_factorization': [[257, 1]], 'field_poly': [3, -4, -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, 0, 1]], [7, [-1, 7, -6, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580967127, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 162011, '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': '2775.2.a.u', 'level': 2775, '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': '2775.2.a.u', 'nf_label': '3.3.257.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}-q^{3}+(1+\\beta _{1}-\\beta _{2})q^{4}+\\beta _{2}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2775.2.a', 'trace_display': [0, -3, 0, 6], 'trace_hash': 1271697434828755463, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.936', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.261', 'prec': 10}, {'__RealLiteral__': 0, 'data': '22.668', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.021', 'prec': 14}, {'__RealLiteral__': 0, 'data': '265.367', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 4}, 'traces': [3, 0, -3, 4, 0, 0, 6, 9, 3, 0, 1, -4, 2, 10, 0, 2, 7, 0, -10, 0, -6, 12, 8, -9, 0, -9, -3, 17, 9, 0, 7, 3, -1, -11, 0, 4, 3, 11, -2, 0, -14, -10, 3, -5, 0, 11, 7, -2, 1, 0, -7, -14, -11, 0, 0, 28, 10, 20, -9, 0, -14, -18, 6, -7, 0, -12, -3, 8, -8, 0, 21, 9, 23, 0, 0, -12, 14, 9, -18, 0, 3, -34, -11, -17, 0, -7, -9, 15, 13, 0, -5, 12, -7, -28, 0, -3, 14, 49, 1, 0, 4, 11, -14, -3, 0, -8, 9, -4, -28, 0, -3, 25, 7, -11, 0, 30, 2, 17, 3, 0, 16, -21, 14, -24, 0, 10, 23, -15, -3, 0, 27, 5, -9, 50, 0, 10, 25, -11, -26, 0, -7, 27, 7, 2, 0, 15, -1, 4, -28, 0, -1, -19, 7, 21, 0, 14, 18, 30, 11, 0, 27, 0, -9, -15, 0, 5, 17, -28, -21, 0, -10, -28, 37, -20, 0, 43, 9, -51, 17, 0, 15, -28, 14, 35, 0, 18, -28, -33, -6, 0, -1, 7, -3, 18, 0, 54, 15, 12, 43, 0, 3, -35, 38, -8, 0, 39, 8, -9, 27, 0, -22, -39, -21, -20, 0, -9, -4, 4, -23, 0, 6, 0, 4, 3, 0, 15, -18, 12, 15, 0, -14, 47, 11, -9, 0, 29, 18, 0, 13, 0, -2, -51, -3, -29, 0, 34, -8, 3, 11, 0, -15, 17, 33, -46, 0, -20, 46, 7, 6, 0, 9, 34, 41, -15, 0, -10, -13, 41, 36, 0, -45, -27, 5, -1, 0, -12, 7, -14, 7, 0, -17, 28, -41, 78, 0, -15, -62, 3, -14, 0, -14, 87, 47, -49, 0, 9, -1, -23, 4, 0, -1, 10, -4, 25, 0, -11, 39, 29, 14, 0, 2, 3, -49, -54, 0, 3, 7, 8, 27, 0, -9, 50, -44, 4, 0, -63, 28, -76, -14, 0, -58, -53, 3, 5, 0, -25, 1, 3, -7, 0, 15, 11, 9, 2, 0, -7, 3, -30, -36, 0, -2, -54, -28, -17, 0, -20, -3, 7, 30, 0, -3, -30, -16, -49, 0, 21, -26, 37, -14, 0, -30, 24, -9, 57, 0, -7, -12, -10, 27, 0, -23, -22, 17, 15, 0, -20, 3, 52, 4, 0, -2, 52, -27, -13, 0, -5, -6, 13, 9, 0, -21, -50, 38, -69, 0, 88, 1, -10, 7, 0, -25, 25, -1, 11, 0, -21, 26, -69, 77, 0, 19, -81, 7, -41, 0, -27, -49, -6, -7, 0, 34, -2, -6, -46, 0, -68, -6, -15, 12, 0, 1, -10, 19, -4, 0, -67, 28, -23, 29, 0, -114, -20, 1, -16, 0, 19, 45, 3, -7, 0, 57, -21, -19, 48, 0, 35, -1, -14, 44, 0, -18, -10, 44, -30, 0, 4, -11, -44, 57, 0, 2, -19, -27, -16, 0, 0, 9, -63, 9, 0, -15, 15, -1, 19, 0, -16, 69, -5, 24, 0, -17, 16, -25, 28, 0, 3, 21, -45, -40, 0, 61, -84, 10, -1, 0, 28, 3, 10, -37, 0, -42, 20, 29, 118, 0, 64, 19, -43, -27, 0, -9, -21, -13, 51, 0, 41, -17, -20, 42, 0, -59, -3, -15, 36, 0, 28, 2, 41, -14, 0, -8, -35, -6, 60, 0, -13, 53, -18, 34, 0, 28, -68, -29, 33, 0, -21, 6, 90, -3, 0, -59, -47, 1, -111, 0, -7, -9, -67, 3, 0, -17, -18, 21, 84, 0, -96, -30, -54, -26, 0, -15, 2, -17, -12, 0, -118, -43, -35, 23, 0, 43, -36, -3, -78, 0, 35, 62, -39, -38, 0, 47, 8, 53, 27, 0, 63, 56, -39, -21, 0, -8, -76, -25, 9, 0, -16, -27, -76, 7, 0, 49, -24, 22, 85, 0, 39, -52, 30, 21, 0, -33, 20, 30, 81, 0, 78, -64, 9, -34, 0, 4, -43, -38, -4, 0, -115, 23, -75, 46, 0, 100, -72, -6, -28, 0, 0, 46, 70, -4, 0, -47, -3, 51, -101, 0, -51, 6, -15, 46, 0, 18, -18, -6, -12, 0, 84, -15, 13, 17, 0, -100, 103, 14, 26, 0, -47, 39, -51, -11, 0, 13, 9, -10, 4, 0, -11, -27, -29, 12, 0, -18, -12, 16, 0, 0, -31, -13, -54, -42, 0, 11, -89, 2, -7, 0, 51, -25, -43, 3, 0, -11, 29, -35, -123, 0, -21, 59, -34, 15, 0, 8, -77, -36, -3, 0, -8, -11, -46, -2, 0, -44, -37, 15, -47, 0, -17, 27, 15, -33, 0, 49, 46, -52, -4, 0, -149, -47, 20, 13, 0, -46, -22, -21, -7, 0, 60, -6, -111, -25, 0, -12, 12, -9, 95, 0, -34, 84, 34, -41, 0, 29, 15, 1, 18, 0, 129, -131, 10, 30, 0, 13, -56, -60, -41, 0, -3, -36, -23, 19, 0, -40, 147, 45, 12, 0, 27, 8, 102, -5, 0, -12, 1, 36, -3, 0, 45, -51, 12, 97, 0, -7, 12, -43, 14, 0, 51, -7, -8, -3, 0, -20, -41, 17, -8, 0, -28, -19, -7, 41, 0, 8, -78, 55, -99, 0, 7, 27, 15, -41, 0, 62, 92, 12, -3, 0, 27, 14, -81, 30, 0, -47, -80, 14, -23, 0, -87, 43, 57, -47, 0, 80, 49, -12, -1, 0, 63, 17, -9, 0, 0, 1, 5, -37, 23, 0, -64, -4, 67, -15, 0, -34, 57, 1, 36, 0, -10, 61, 13, 4, 0, 70, -25, 88, 96, 0, -3, 88, 11, 8, 0, -39, 55, -36, -29, 0, -46, -14, 3, -2, 0, 42, 89, -2, 61, 0, -3, 17, 135, 49, 0, 62, 54, -109, 4, 0, -63, 100, -3, -41, 0, -7, 9, -47, -8, 0, 12, -27, -144, 49, 0, -10, -9, 9, -114, 0, -50, -34, -3, 44, 0, 38, -4, -66, 53, 0, -62, 126, 63, -74, 0, -28, -124, -14, 76, 0, 11, 14, 15, 26, 0, -33, -39, 58, 174, 0, 53, 29, -124, -3, 0, -1, -5, -14, -57, 0, -35, 45, 25, 69, 0, -1, 21, -23, -3, 0, 23, 7, -16, 77, 0, 58, 163, -15, -27, 0, -11, -39, 69, -9, 0, 49, -2, 45, -15, 0, 17, -1, 7, 75, 0, -3, 137, -79, 30, 0, 87, 36, 115, -59, 0, -3, 78, 2, -31, 0, 54, 8, 43, 28, 0, -23, 17, -11, -37, 0, 76, -8, 20, 23, 0, 3, 103, 9, -7, 0, 30, -30, 15, 31, 0, 5, -17, 3, -37, 0, 30, -39, -15, 16, 0, -57, 49, 22, -179, 0, 74, 12, -21, -18, 0, 26, -31, -36, -37, 0, 27, 14, 149, 12, 0, 45, -92, 30, 2, 0, -24, -130, -2, 9, 0, 23, -57, 20, -101, 0, 50, 48, 7, 7, 0, 12, -65, 25, 10, 0, 45, -27, 28, -62, 0, -81, -107, 23, 6, 0, 22, 7, -174, -17, 0, -64, -15, 83, -88, 0, -19, 46, 20, 15, 0, -3, -65, -33, -52, 0, -93, -4, 4, 39, 0, -37, -58, 2, 23, 0, -52, -21, 49, 27, 0, 52, 13, -39, 3, 0, 29, -19, 5, -110, 0, 6, -107, 97, -13, 0, -69, -9, 0, 64, 0, 60, 49, 21, -68, 0, 50, 45, 7, -38, 0, 67, 69, 42, 41, 0, 22, -36, -88, -21, 0, -1, 7, 22, 10, 0, -63, -7, 102, -1, 0, -105, 62, 25, 80, 0, -25, 8, -55, 1, 0, 80, -11, 106, -100, 0, -96, -5, 21, 87, 0, -26, -114, 41, 69, 0, 0, -77, -11, -22, 0, -24, 83, -19, 51, 0, 81, 0, 43, -7, 0, -40, 41, 65, -52, 0, 63, 34, 27, -46, 0, 49, 36, 26, 6, 0, 82, 7, 131, -82, 0, -13, -57, -34, 41, 0, 2, 12, 36, 6, 0, 88, 46, 48, -90, 0, 203, -159, 68, 1, 0, 6, 99, 77, 15, 0, -129, -12, 52, 85, 0, 100, 33, -1, -125, 0, 10, -34, 46, -19, 0, -84, 4, 71, 89, 0, 56, -24, 67, -53, 0, -28, -24, -75, 23, 0, 110, -29, -81, -66, 0, -26, -60, 114, 82, 0, 20, -31, 116, -1, 0, -47, 16, -35, -99, 0, -134, 38, -19, 3, 0, -45, 139, 129, -3, 0, -72, 7, 41, 17, 0, 29, -72, -57, 104, 0, 21, -103, -24, 19, 0, 24, -48, 99, -92, 0, -171, 21, -35, -12, 0, 1, 155, -69, 14, 0, 11, -44, 57, -54, 0, -74, 47, 18, -131, 0, 10, 12, 0, -44, 0, 101, 30, -30, -107, 0, -59, 31, -4, -71, 0, 11, 58, -93, 44, 0, -60, -57, 29, 31, 0, -53, 75, -2, -7, 0, 19, -24, 15, 27, 0, 4, 16, -33, -64, 0, -45, 101, 0, -26, 0, -9, 25, -15, 63, 0, 25, -9, -34, 34, 0, -14, -20, 15, -27, 0, -15, -125, 111, 1, 0, -158, -19, -17, -135, 0, 76, -82, 16, -34, 0, -69, -122, -139, 5, 0, -27, -24, -28, -51, 0, 93, 111, 17, -36, 0, -16, -10, -84, 25, 0, 88, -28, 95, -52, 0, 178, -14, -3, -103, 0, -21, -14, -66, 45, 0, -116, 40, -25, -94, 0, -23, -120, -61, 10, 0, 84, -49, -42, -10, 0, 47, 1, -99, -29, 0, 2, 2, -28, -41, 0, -3, 30, 9, -10, 0, -86, 37, 126, -66, 0, -59, 153, 42, -9, 0, -20, 16, 12, -29, 0, 64, -118, 48, 27, 0, 32, 85, -64, -78, 0, -19, 24, 152, 43, 0, 63, 27, 111, -52, 0, 3, 142, 9, -28, 0, 21, 33, -53, 13, 0, -2, -51, 33, -27, 0, 216, -91, -41, 51, 0, 17, -12, 104, 20, 0, -28, -42, 140, -81, 0, -24, -63, 59, 202, 0, 3, 51, -5, 15, 0, 57, -36, 60, -18, 0, 84, -26, -28, 83, 0, -2, 154, 23, -41, 0, -72, 14, 64, 30, 0, 91, 82, 8, 77, 0, 35, 41, 66, 6, 0, 183, -60, -94, 72, 0, 87, -9, 13, -3, 0, -53, 12, -18, 18, 0, 164, -34, 15, 35, 0, 195, 156, -28, -3, 0, 68, -23, -147, 29, 0, -108, -33, 36, -86, 0, -60, 57, 21, -175, 0, -6, 11, -64, -90, 0, -104, 3, -163, -8, 0, 7, -36, 59, -81, 0, 47, 5, -60, -1, 0, -13, 111, -56, 111, 0, -32, 44, 7, 3, 0, 9, 42, 94, 67, 0, -58, -3, -81, 7, 0, 35, -41, 17, 24, 0, 18, -87, -3, -21, 0, -67, -84, 24, 15, 0, 93, -14, 96, 0, 0, 30, 30, -93, 54, 0, -84, 26, 8, -84, 0, 69, 142, 15, 9, 0, -2, 64, -91, 17, 0, 9, 12, 51, -55, 0, 81, -69, 118, -47, 0, 43, -154, -130, 35, 0, 39, -23, -74, 91, 0, -16, 57, -43, -75, 0, 36, -39, 79, 3, 0, -84, 78, 1, -151, 0, -70, -15, -35, 43, 0, -62, 114, -66, 39, 0, -174, 38, 95, -103, 0, 77, 48, -47, 240, 0, -8, -74, 56, -53, 0, 146, -27, -44, 254, 0, -90, 31, -63, -44, 0, -56, -101, -104, 39, 0, -39, 21, 170, 48, 0, 74, -136, 8, 68, 0, 76, 103, 45, 25, 0, -27, -9, -73, 105, 0, 223, 86, 16, -23, 0, 27, -103, 52, 76, 0, -78, -7, 63, 32, 0, -12, -58, -49, -85, 0, 24, -93, -84, -22, 0, 68, -85, -116, 2, 0, 104, 143, -39, 19, 0, 52, -5, -4, -30, 0, -105, -21, 89, -9, 0, -43, -24, 33, -14, 0, -20, -6, -25, -30, 0, -59, -81, -135, 118, 0, -105, 62, -78, 74, 0, 64, 87, 91, -9, 0, -93, 34, 34, -115, 0, -114, 18, -4, 80, 0, 43, 81, 93, 38, 0, -11, 4, 76, -183, 0, 90, -102, 115, 134, 0, -23, 0, 4, 75, 0, -5, -46, -60, -82, 0, -103, 114, -100, 17, 0, 72, -77, 300, 6, 0, -31, 28, 28, -92, 0, -131, 102, 0, -15, 0, -46, -63, 55, -70, 0, 19, 4, -29, -137, 0, 51, -22, 47, -49, 0, 3, -11, 70, -51, 0, 78, 101, -95, 102, 0, -85, 0, 51, -97, 0, -6, -47, -52, 15, 0, -102, -46, 16, -163, 0, 112, -57, -18, 288, 0, 18, -30, 30, 6, 0, -2, 12, 49, 24, 0, 137, 102, -84, 117, 0, 15, 22, -105, -13, 0, -264, -17, -138, -115, 0, 132, 28, 100, -12, 0, -103, -97, -51, -14, 0, 81, -26, -115, 93, 0, -220, 104, 47, -13, 0, -39, 57, -27, 51, 0, 38, 11, 103, 84, 0, -61, -108, -13, 187, 0, -9, -59, 6, 10, 0, -22, -4, -63, -60, 0, -23, 99, 11, 25, 0, 27, -58, -25, 29, 0, -75, -12, -27, -91, 0, 22, 171, 18, 102, 0, 12, 9, 42, -16, 0, 17, 0, 23, -18, 0, 20, 36, 31, 105, 0, 13, 88, -11, 54, 0, 198, 42, 28, 70, 0, -53, -87, -11, -34, 0, 89, -62, -138, -2, 0, -36, 7, 10, 208, 0, -49, -72, -51, -47, 0, 25, 93, -9, 43, 0, 71, -3, -167, -90, 0, -114, 6, 11, 47, 0, -29, -17, -148, 35, 0, -51, 123, -68, -30, 0, -69, -59, 21, -12, 0, -59, 42, 51, 34, 0, 81, -15, -71, 99, 0, -4, -102, -8, -81, 0, 77, 77, 141, 36, 0, 40, 3, 84, 64, 0, -25, -121, 8, 155, 0, 11, -36, -38, 46, 0, 59, 2, -119, -29, 0, -106, 92, 44, 158, 0, 37, -14, 22, -15, 0, -10, 47, -59, -144, 0, -42, -90, 17, 66, 0, -27, 90, -55, -15, 0, -133, 33, 121, 46, 0, -46, -187, -49, -115, 0, -46, 12, 16, 52, 0, 6, 4, 86, -18, 0, -297, 115, 149, -118, 0, 47, 49, -152, -20, 0, -23, -13, -194, -97, 0, 155, -109, 46, 12, 0, 22, -188, 33, 21, 0, -293, 7, 15, -124, 0, 76, 65, -60, 68, 0, 6, -30, 12, 111, 0, 147, 25, 114, -30, 0, -43, -25, 12, 45, 0, -12, 11, -45, 9, 0, 35, -95, 37, 42, 0, 18, -84, 34, -99, 0, 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