Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 10952, 'analytic_conductor': 21.863040073426568, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 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': [2738, 1, [1371], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, 1, 1]], [5, [-11, 1, 1]], [7, [-4, 2, 1]], [13, [-11, 1, 1]], [17, [-20, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797780146, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 161157, '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': '2738.2.a.g', 'level': 2738, '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, 37], 'level_radical': 74, 'minimal_twist': '74.2.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta q^{3}+q^{4}+(1-3\\beta )q^{5}+\\beta q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2738.2.a', 'trace_display': [-2, -1, -1, -2], 'trace_hash': 2229764090332009517, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.939', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.342', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '61.706', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 7}, 'traces': [2, -2, -1, 2, -1, 1, -2, -2, -3, 1, -5, -1, -1, 2, 8, 2, 0, 3, 0, -1, 6, 5, 1, 1, 13, 1, 2, -2, 3, -8, -17, -2, 0, 0, 16, -3, 0, 0, -7, 1, 17, -6, 6, -5, -6, -1, 2, -1, -2, -13, -10, -1, -8, -2, -5, 2, 10, -3, 14, 8, -19, 17, -2, 2, -22, 0, -9, 0, 7, -16, -12, 3, 3, 0, -14, 0, 0, 7, -3, -1, -2, -17, -20, 6, -30, -6, -19, 5, 12, 6, -14, 1, 6, -2, 30, 1, -8, 2, 10, 13, 16, 10, -1, 1, -18, 8, 1, 2, 12, 5, 0, -2, -4, -10, 22, 3, 9, -14, -20, -8, -7, 19, -11, -17, -24, 2, -8, -2, -8, 22, 14, 0, 20, 9, -31, 0, 23, -7, 3, 16, 4, 12, 10, -3, -54, -3, -9, 0, 10, 14, 22, 0, 10, 0, 1, -7, -24, 3, -6, 1, 14, 2, 16, 17, -15, 20, -21, -6, -3, 30, -10, 6, 8, 19, -28, -5, -2, -12, -6, -6, 20, 14, 12, -1, 0, -6, 10, 2, -22, -30, 3, -1, -8, 8, 11, -2, -24, -10, -24, -13, -8, -16, -38, -10, -16, 1, -9, -1, -10, 18, -11, -8, -14, -1, -18, -2, 12, -12, -14, -5, 30, 0, 6, 2, -12, 4, 22, 10, -6, -22, -10, -3, 7, -9, 14, 14, -21, 20, -13, 8, 12, 7, 10, -19, -29, 11, -30, 17, 20, 24, 24, -2, -10, 8, 20, 2, 20, 8, 0, -22, 13, -14, -22, 0, -26, -20, 4, -9, 8, 31, 8, 0, 12, -23, -25, 7, -9, -3, 28, -16, -24, -4, -18, -12, -20, -10, -22, 3, 6, 54, -6, 3, 6, 9, 8, 0, 5, -10, -23, -14, -16, -22, 2, 0, 17, -10, -19, 0, 38, -1, 25, 7, -34, 24, -14, -3, 24, 6, 10, -1, 17, -14, -40, -2, 16, -16, 14, -17, 8, 15, -56, -20, 0, 21, -33, 6, -5, 3, -18, -30, 45, 10, -4, -6, -11, -8, -30, -19, 2, 28, 29, 5, -46, 2, -54, 12, 20, 6, 0, 6, 2, -20, 16, -14, -39, -12, -14, 1, -23, 0, -12, 6, 42, -10, 27, -2, 51, 22, 45, 30, 14, -3, 0, 1, -30, 8, -4, -8, 7, -11, -30, 2, -42, 24, -66, 10, 10, 24, -20, 13, 14, 8, 16, 16, 46, 38, 0, 10, 30, 16, 6, -1, -4, 9, 40, 1, -9, 10, -1, -18, 33, 11, -8, 8, 30, 14, 24, 1, 15, 18, 20, 2, -57, -12, 47, 12, 30, 14, 9, 5, 13, -30, -3, 0, 24, -6, -30, -2, 48, 12, -40, -4, 4, -22, 22, -10, 54, 6, 40, 22, 60, 10, -11, 3, -63, -7, 4, 9, -16, -14, 22, -14, -10, 21, -30, -20, 22, 13, -53, -8, 0, -12, -12, -7, -26, -10, -12, 19, 2, 29, -1, -11, 70, 30, 25, -17, -28, -20, -34, -24, 18, -24, -27, 2, 22, 10, 9, -8, -22, -20, -28, -2, -40, -20, 113, -8, -10, 0, 6, 22, 24, -13, -46, 14, 54, 22, 10, 0, -23, 26, -26, 20, -1, -4, 52, 9, -32, -8, 15, -31, 5, -8, -20, 0, 54, -12, -26, 23, 26, 25, -70, -7, -42, 9, 0, 3, -19, -28, 12, 16, 20, 24, 20, 4, -58, 18, 32, 12, 8, 20, -1, 10, -14, 22, -16, -3, 10, -6, 4, -54, 40, 6, 30, -3, 33, -6, 44, -9, -10, -8, 2, 0, 15, -5, 40, 10, -8, 23, 32, 14, 11, 16, 26, 22, 41, -2, -41, 0, 44, -17, -16, 10, -50, 19, 73, 0, -11, -38, 3, 1, -29, -25, 8, -7, -8, 34, -20, -24, 0, 14, 21, 3, -32, -24, 34, -6, 31, -10, 38, 1, -7, -17, 62, 14, 34, 40, -49, 2, -40, -16, -46, 16, 43, -14, -112, 17, 8, -8, 25, -15, -19, 56, -10, 20, -40, 0, -51, -21, -28, 33, 45, -6, 29, 5, 43, -3, 38, 18, -12, 30, 4, -45, 44, -10, 41, 4, 48, 6, 34, 11, 0, 8, 10, 30, -24, 19, 10, -2, 19, -28, 39, -29, 0, -5, -2, 46, 4, -2, -35, 54, 27, -12, -16, -20, 55, -6, 14, 0, 28, -6, 76, -2, 4, 20, 72, -16, 53, 14, 21, 39, 20, 12, 64, 14, 12, -1, 35, 23, -33, 0, 10, 12, -38, -6, -80, -42, 20, 10, 34, -27, -20, 2, -32, -51, 34, -22, 15, -45, -15, -30, -45, -14, 28, 3, 40, 0, -22, -1, -12, 30, 10, -8, -48, 4, -103, 8, 0, -7, -10, 11, 50, 30, 73, -2, 42, 42, -60, -24, 16, 66, -36, -10, 2, -10, -12, -24, -59, 20, -20, -13, -28, -14, 5, -8, -22, -16, -4, -16, -14, -46, 19, -38, -24, 0, 22, -10, -20, -30, 16, -16, 16, -6, -32, 1, 15, 4, -54, -9, -87, -40, 32, -1, 40, 9, 33, -10, -7, 1, -42, 18, 69, -33, 52, -11, 24, 8, 32, -8, 4, -30, 0, -14, -17, -24, -40, -1, 36, -15, -80, -18, 56, -20, 12, -2, 26, 57, -3, 12, 30, -47, 42, -12, 22, -30, 54, -14, 20, -9, 32, -5, -3, -13, 4, 30, 46, 3, 20, 0, 28, -24, -10, 6, 20, 30, -102, 2, 4, -48, -8, -12, 40, 40, 28, 4, -40, -4, 76, 22, -34, -22, 8, 10, 40, -54, -81, -6, -84, -40, -24, -22, 17, -60, 66, -10, 0, 11, -36, -3, 1, 63, -40, 7, -45, -4, 70, -9, 9, 16, 42, 14, -30, -22, 1, 14, 56, 10, 16, -21, 36, 30, -32, 20, -33, -22, -39, -13, 35, 53, 12, 8, 85, 0, -19, 12, 4, 12, -57, 7, 20, 26, 69, 10, -18, 12, -53, -19, -96, -2, -40, -29, -38, 1, 8, 11, -18, -70, -4, -30, -12, -25, 21, 17, 28, 28, -48, 20, -36, 34, 0, 24, 30, -18, -20, 24, -11, 27, -40, -2, -49, -22, -30, -10, 3, -9, 94, 8, 26, 22, -2, 20, -51, 28, 5, 2, 118, 40, 69, 20, -28, -113, -27, 8, -9, 10, -33, 0, -10, -6, 42, -22, 20, -24, -60, 13, -70, 46, 24, -14, -32, -54, 82, -22, -44, -10, -107, 0, 8, 23, 8, -26, 36, 26, -86, -20, -8, 1, 30, 4, -30, -52, 20, -9, 0, 32, 54, 8, 10, -15, -20, 31, 16, -5, -1, 8, -126, 20, -84, 0, -2, -54, 20, 12, -63, 26, 37, -23, 28, -26, 44, -25, -38, 70, -86, 7, 0, 42, 27, -9, -10, 0, -50, -3, -4, 19, -78, 28, -24, -12, -36, -16, 20, -20, 34, -24, 21, -20, -31, -4, 60, 58, -28, -18, -35, -32, 34, -12, -35, -8, 50, -20, 4, 1, 2, -10, 138, 14, 0, -22, 40, 16, 60, 3, -76, -10, 20, 6, -36, -4, 10, 54, 26, -40, 28, -6, 64, -30, -11, 3, 36, -33, -86, 6, 10, -44, -2, 9, -20, 10, 14, 8, -26, -2, 18, 0, 33, -15, -71, 5, 43, -40, -40, -10, -72, 8, 29, -23, -20, -32, -50, -14, 22, -11, -2, -16, 24, -26, 80, -22, 57, -41, 12, 2, 84, 41, 55, 0, 43, -44, -34, 17, 0, 16, -85, -10, 17, 50, -40, -19, -69, -73, 72, 0, -52, 11, 0, 38, 66, -3, 32, -1, 50, 29, 30, 25, -100, -8, 44, 7, 39, 8, 3, -34, -64, 20, -72, 24, 23, 0, -19, -14, 34, -21, -49, -3, -55, 32, -40, 24, -18, -34, -142, 6, -50, -31, -80, 10, 83, -38, 38, -1, -62, 7, -17, 17, 50, -62, -35, -14, 24, -34, -20, -40, 40, 49, 0, -2, 96, 40, 11, 16, 60, 46, -127, -16, 61, -43, -83, 14, 40, 112, -10, -17, -38, -8, 26, 8, 23, -25, -37, 15, 5, 19, 38, -56, -22, 10, 69, -20, -36, 40, 60, 0, -46, 51, 28, 21, -28, 28, -112, -33, 10, -45, 90, 6, -4, -29, -34, -5, -80, -43, 8, 3, 5, -38, -64, -18, 22, 12, -48, -30, 48, -4, -32, 45, -66, -44, -39, 10, 0, -41, -22, -4, -64, -48, 45, -6, -60, -34, 4, -11, -44, 0, -50, -8, 87, -10, -50, -30, -17, 24, -53, -19, -16, -10, 61, 2, 10, -19, -80, 28, -52, -39, -2, 29, 132, 0, -2, 5, -32, 2, -40, -46, 26, -4, -6, 2, -66, 35, 10, -54, 67, -27, -7, 12, 80, 16, 53, 20, -27, -55, 32, 6, -23, -14, 146, 0, 49, -28, -26, 6, 0, -76, 0, 2, -3, -4, 6, -20, -16, -72, 96, 16, -26, -53, -12, -14, -22, -21, -19, -39, 76, -20, -40, -12, 102, -64, -34, -14, 62, -12, -92, 1, 63, -35, 76, -23, -64, 33, -50, 0, 41, -10, 7, -12, 65, 38, -66, 6, -9, 80, 4, 42, -27, -20, -11, -10, 2, -34, -68, 27, -90, 20, 24, -2, 68, 32, -75, 51, 26, -34, -25, 22, -40, -15, 44, 45, 0, 15, 27, 30, -3, 45, 56, 14, -131, -28, 26, -3, 0, -40, -22, 0, 34, 22, 32, 1, 58, 12, 60, -30, -42, -10, -22, 8, -79, 48, -20, -4, 23, 103, -10, -8, -27, 0, -110, 7, -22, 10, 59, -11, -56, -50, 18, -30, 92, -73, -3, 2, -2, -42, -24, -42, -34, 60, 2, 24, 40, -16, -3, -66, 80, 36, 8, 10, -72, -2, 19, 10, 8, 12, 0, 24, -6, 59, 115, -20, -71, 20, -62, 13, 33, 28, 96, 14, -31, -5, -36, 8, 8, 22, 44, 16, 43, 4, 20, 16, 20, 14, 39, 46, -46, -19, -20, 38, -33, 24, -28, 0, -20, -22, 38, 10, -66, 20, 8, 30, -14, -16, 0, 16, -52, -16, 78, 6, -4, 32, -29, -1, 40, -15, -26, -4, 50, 54, 28, 9, -98, 87, 36, 40, -70, -32, -21, 1, 0, -40, 84, -9, 8, -33, 32, 10, 28, 7, -21, -1, -26, 42, -36, -18, 65, -69, -40, 33, -95, -52, 8, 11, 30, -24, 40, -8, 26, -32, 24, 8, 66, -4, -35, 30, 30, 0, 98, 14, 60, 17, 36, 24, 44, 40, -14, 1, 23, -36, -88, 15, -40, 80, 8, 18, 20, -56, 75, 20, 53, -12, 50, 2, 20, -26, 30, -57, -63, 3, 30, -12, 12, -30, 0, 47, -21, -42, -80, 12, 74, -22, -36, 30, 20, -54, -150, 14, -20, -20, -22, 9, -64, -32, -19, 5, -2, 3, 56, 13, -22, -4, -80, -30, -46, -46, -30, -3, 46, -20, -18, 0, 21, -28, -30, 24, -64, 10, 12, -6, -100, -20, -143, -30, 27, 102, 56, -2, -50, -4, 30, 48, 34, 8, 20, 12, 31, -40, 62, -40, -1, -28, 21, -4, 41, 40, 42, 4, 0, -76, -53, -22, -69, 34, -70, 22, 53, -8, 12, -10, 57, -40, 32, 54, -124, 81, 136, 6, -2, 84, -128, 40, 45, 24, 0, 22, 32, -17, -40, 60, -41, -66, -46, 10, -58, 0, -7, -11, -80, 36, -24, 3, 36, -1, 0, -63, -8, 40, 44, -7, -66, 45, 16, 4, 16, -70, -54, 9, 48, -9, -56, -16, -16, -42, -95, -14, 40, 30, -8, 22, -33, -1, 0, -14, -82, -56, 159, -10, -93, -16, -60, 21, -48, -36, 54, -30, 60, 32, -30, -20, -52, 33, 96, 22, 20, 39, -3, 13, -36, -35, 120, -53, 68, -12, 40, -8, 80, -85, -39, 0, 30, 19, 12, -12, -26, -4, 48, -12, -64, 57, 2, -7, 70, -20, 64, -26, 37, -69, 74, -10, -26, 18, -10, -12, -12, 53, 24, 19, 22, 96, 0, 2, 150, 40, -59, 29, 0, 38, -56, -1, 126, -8, 104, -11, 50, 18, 53, 70, 82, 4, 48, 30, -75, 12, -54, 25, 8, -21, 27, -17, -110, -28, 25, -28, -50, 48, -40, -20, -32, 36, 100, -34, -126, 0, 58, -24, 28, -30, -4, 18, 8, 20, 16, -24, -7, 11, -48, -27, -5, 40, 187, 2, -32, 49, -7, 22, -4, 30, -6, 10, -58, -3, -30, 9, -109, -94, -54, -8, 70, -26, 0, -22, -4, 2, -60, -20, -18, 51, -48, -28, -90, -5, 36, -2, 8, -118, 64, -40, -19, -69, 57, -20, -50, 28, 122, 113, -36, 27, -42, -8, 92, 9, 18, -10, -18, 33, 80, 0, -80, 10, -160, 6, 89, -42, 40, 22, 83, -20, -3, 24, 27, 60, -111, -13, -2, 70, -90, -46, 8, -24, 68, 14, -33, 32, 40, 54, 5, -82, -72, 22, -114, 44, 14, 10, 0, 107, 29, 0, 9, -8, -26, -23, 92, -8, -38, 26, 28, -36, 20, -26, -60, 86, -40, 20, -116, 8, 26, -1, 87, -30, -162, -4, -19, 30, -57, 52, -17, -20, -60, 9, 0, 0, -80, -32, 34, -54, 12, -8, 79, -10, 140, 15, -44, 20, -40, -31, 120, -16, -78, 5, -24, 1, 70, -8, -28, 126, -12, -20, -58, 84, -161, 0, -90, 2, 71, 54, -34, -20, 0, -12, 0, 63, -83, -26, 80, -37, 84, 23, -40, -28, 78, 26, -8, -44, -22, 25, 122, 38, -86, -70, 46, 86, 69, -7, -82, 0, 25, -42, -32, -27, -111, 9, 4, 10, -64, 0, 58, 50, 50, 3, 48, 4, 140, -19, 84, 78, -34, -28, 70, 24, 90, 12, 9, 36, 39, 16, -60, -20, -100, 20, -54, -34, -32, 24, -34, -21, -24, 20, -10, 31, -25, 4, 0, -60, -16, -58, 40, 28, -13, 18, 58, 35, -89, 32, 8, -34, 0, 12, 52, 35, -106, 8, 35, -50, -4, 20, -40, -4, 15, -1, -12, -2, 118, 10, -4, -138, 153, -14, -18, 0, -50, 22, 17, -40, 50, -16, -44, -60, -22, -3, -90, 76, 46, 10, -61, -20, 65, -6, -50, 36, -62, 4, 56, -10, 24, -54, 65, -26, 38, 40, 99, -28, 108, 6, -70, -64, 0, 30, 45, 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