Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 31768, 'analytic_conductor': 63.41718928530088, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, -1], [19, -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': [7942, 1, [5777, 6139], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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, [3, 1]], [5, [2, 1]], [13, [-7, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33562374, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 250246, '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': '7942.2.a.a', 'level': 7942, '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, 11, 19], 'level_radical': 418, 'minimal_twist': '418.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-3q^{3}+q^{4}-2q^{5}+3q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/7942/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7942.2.a', 'trace_display': [-1, -3, -2, 1], 'trace_hash': 2034855706541125656, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '0.969', 'prec': 10}, 0, {'__RealLiteral__': 0, 'data': '1.928', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '4.829', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 7}, 'traces': [1, -1, -3, 1, -2, 3, 1, -1, 6, 2, 1, -3, 7, -1, 6, 1, -3, -6, 0, -2, -3, -1, 3, 3, -1, -7, -9, 1, -1, -6, -2, -1, -3, 3, -2, 6, 6, 0, -21, 2, 2, 3, 4, 1, -12, -3, 0, -3, -6, 1, 9, 7, -3, 9, -2, -1, 0, 1, -7, 6, -12, 2, 6, 1, -14, 3, -15, -3, -9, 2, -6, -6, -9, -6, 3, 0, 1, 21, 8, -2, 9, -2, 16, -3, 6, -4, 3, -1, 16, 12, 7, 3, 6, 0, 0, 3, -8, 6, 6, -1, -2, -9, 12, -7, 6, 3, -11, -9, -11, 2, -18, 1, -20, 0, -6, -1, 42, 7, -3, -6, 1, 12, -6, -2, 12, -6, 16, -1, -12, 14, -14, -3, 0, 15, 18, 3, -17, 9, 10, -2, 0, 6, 7, 6, 2, 9, 18, 6, 14, -3, 12, 0, -18, -1, 4, -21, 18, -8, 9, 2, 3, -9, 14, 2, 6, -16, -18, 3, 36, -6, 0, 4, 2, -3, -1, 1, 21, -16, 4, -12, 2, -7, 36, -3, -12, -6, -3, 0, -9, 0, 3, -3, -4, 8, 42, -6, -28, -6, 7, 1, 45, 2, -1, 9, -4, -12, 18, 7, 0, -6, 23, -3, 18, 11, -8, 9, -2, 11, 27, -2, -21, 18, -2, -1, -6, 20, -25, 0, 20, 6, -3, 1, 6, -42, 0, -7, -24, 3, 13, 6, 20, -1, 0, -12, 12, 6, 0, 2, -48, -12, -30, 6, 3, -16, -18, 1, -18, 12, 6, -14, -6, 14, 12, 3, 6, 0, -48, -15, -18, -18, -3, -3, -21, 17, -1, -9, -8, -10, -12, 2, 16, 0, -22, -6, 0, -7, 2, -6, -8, -2, 24, -9, -15, -18, 14, -6, -9, -14, 21, 3, 4, -12, 6, 0, 24, 18, -16, 1, -36, -4, 11, 21, -27, -18, -12, 8, -1, -9, -1, -2, 33, -3, 0, 9, -7, -14, 33, -2, 0, -6, -17, 16, 36, 18, 30, -3, -4, -36, 60, 6, -2, 0, -13, -4, 18, -2, 6, 3, 10, 1, -63, -1, -31, -21, 12, 16, 9, -4, 27, 12, 0, -2, -3, 7, 18, -36, 16, 3, 12, 12, -3, 6, 13, 3, -36, 0, -7, 9, 1, 0, -48, -3, -26, 3, -2, 4, 24, -8, -14, -42, -9, 6, 42, 28, -16, 6, -30, -7, 0, -1, 2, -45, -14, -2, -18, 1, 6, -9, 14, 4, 51, 12, -7, -18, -32, -7, -30, 0, -6, 6, -3, -23, 0, 3, 3, -18, -12, -11, -21, 8, 22, -9, 0, 2, -6, -11, 0, -27, 22, 2, -36, 21, -14, -18, -32, 2, -42, 1, 32, 6, 2, -20, -36, 25, -14, 0, 23, -20, 27, -6, -40, 3, -32, -1, -12, -6, -12, 42, -15, 0, -54, 7, 4, 24, 0, -3, -18, -13, 28, -6, 42, -20, -9, 1, 16, 0, 20, 12, -42, -12, -6, -6, 3, 0, -12, -2, -6, 48, -20, 12, 54, 30, -23, -6, 4, -3, -108, 16, 18, 18, -9, -1, 0, 18, -24, -12, 0, -6, -6, 14, 4, 6, -11, -14, 3, -12, 6, -3, -14, -6, -42, 0, 14, 48, 22, 15, -12, 18, -6, 18, 8, 3, -6, 3, 22, 21, -8, -17, -72, 1, 0, 9, 8, 8, 36, 10, -30, 12, 28, -2, 9, -16, 8, 0, 40, 22, 9, 6, -4, 0, 2, 7, -9, -2, -3, 6, -17, 8, 12, 2, 16, -24, -3, 9, -84, 15, 20, 18, 0, -14, 84, 6, 26, 9, 6, 14, -21, -21, 4, -3, 0, -4, -90, 12, -2, -6, 14, 0, 3, -24, 0, -18, 28, 16, 12, -1, 18, 36, -20, 4, -27, -11, 16, -21, -19, 27, 0, 18, -18, 12, 8, -8, -69, 1, -32, 9, -42, 1, -36, 2, 0, -33, -34, 3, 24, 0, 3, -9, -7, 7, 6, 14, 12, -33, 28, 2, -54, 0, -27, 6, -25, 17, 63, -16, 0, -36, -3, -18, 6, -30, -12, 3, -8, 4, 9, 36, -27, -60, -8, -6, 75, 2, 16, 0, 34, 13, -60, 4, -21, -18, 10, 2, 6, -6, -20, -3, -6, -10, -18, -1, -24, 63, 0, 1, 0, 31, -2, 21, -50, -12, 48, -16, -6, -9, -14, 4, -39, -27, -25, -12, 12, 0, -60, 2, 1, 3, 23, -7, -27, -18, -12, 36, -6, -16, -36, -3, -15, -12, 52, -12, 0, 3, -8, -6, -28, -13, 96, -3, -11, 36, 34, 0, 90, 7, -24, -9, -2, -1, -9, 0, -15, 48, -11, 3, 36, 26, -49, -3, -37, 2, 54, -4, 19, -24, 2, 8, -18, 14, 0, 42, -6, 9, 9, -6, -36, -42, -41, -28, -36, 16, -20, -6, -84, 30, -18, 7, 33, 0, 0, 1, 96, -2, -9, 45, -6, 14, 54, 2, -17, 18, 25, -1, 9, -6, -28, 9, 0, -14, 42, -4, -8, -51, 53, -12, 3, 7, -13, 18, -53, 32, 24, 7, 18, 30, 36, 0, 18, 6, -32, -6, -28, 3, -48, 23, -72, 0, 1, -3, 66, -3, 18, 18, 30, 12, 0, 11, 6, 21, -14, -8, -6, -22, 38, 9, -4, 0, 24, -2, 8, 6, -105, 11, -48, 0, 12, 27, -27, -22, 45, -2, -38, 36, 20, -21, -42, 14, 20, 18, 16, 32, 9, -2, 0, 42, -8, -1, -63, -32, 2, -6, 9, -2, -12, 20, -4, 36, -1, -25, -12, 14, 30, 0, 16, -23, -72, 20, -14, -27, 39, 6, 48, 40, -42, -3, -6, 32, 72, 1, -51, 12, 0, 6, -33, 12, 6, -42, -41, 15, 81, 0, 15, 54, 6, -7, 18, -4, -8, -24, -63, 0, 3, 3, -4, 18, -6, 13, 3, -28, -17, 6, -27, -42, -66, 20, 8, 9, 56, -1, 0, -16, -28, 0, 10, -20, 21, -12, -12, 42, 16, 12, -66, 6, -50, 6, 56, -3, 0, 0, 12, 12, 44, 2, 51, 6, -14, -48, -2, 20, -54, -12, 7, -54, 21, -30, -90, 23, 0, 6, -48, -4, 12, 3, 16, 108, 2, -16, -120, -18, -31, -18, 5, 9, 6, 1, -2, 0, 56, -18, 39, 24, 24, 12, 1, 0, -36, 6, 36, 6, -50, -14, -18, -4, 14, -6, 0, 11, -30, 14, -2, -3, 0, 12, 63, -6, -46, 3, 12, 14, 93, 6, 36, 42, -34, 0, -36, -14, -8, -48, 56, -22, -18, -15, -6, 12, -4, -18, -81, 6, 112, -18, 0, -8, 0, -3, 4, 6, -55, -3, 6, -22, -15, -21, -22, 8, -54, 17, 24, 72, 18, -1, -48, 0, 11, -9, 42, -8, -18, -8, 24, -36, -2, -10, 9, 30, 4, -12, 17, -28, -39, 2, 0, -9, -36, 16, 72, -8, -18, 0, -30, -40, 21, -22, 12, -9, 50, -6, -3, 4, 45, 0, 14, -2, 96, -7, -40, 9, -12, 2, 78, 3, 57, -6, -16, 17, 6, -8, 112, -12, 0, -2, -36, -16, 24, 24, -12, 3, 42, -9, -18, 84, -12, -15, 27, -20, 0, -18, -11, 0, -84, 14, -9, -84, 36, -6, 48, -26, 24, -9, -2, -6, 90, -14, 0, 21, -26, 21, 0, -4, -11, 3, 15, 0, -6, 4, -40, 90, 18, -12, 42, 2, 2, 6, -48, -14, 0, 0, -23, -3, -9, 24, -18, 0, 3, 18, 6, -28, -42, -16, 6, -12, -8, 1, -102, -18, 0, -36, 13, 20, 21, -4, 27, 27, -20, 11, 96, -16, -4, 21, 26, 19, 60, -27, 4, 0, 60, -18, 18, 18, -42, -12, -56, -8, 9, 8, -6, 69, 2, -1, 0, 32, -4, -9, 0, 42, -9, -1, 54, 36, 43, -2, 36, 0, -45, 33, 36, 34, 42, -3, 35, -24, -11, 0, -66, -3, -12, 9, 11, 7, 0, -7, -60, -6, 56, -14, 12, -12, 67, 33, -3, -28, 0, -2, -14, 54, -24, 0, -66, 27, 10, -6, -64, 25, 54, -17, 3, -63, 53, 16, 42, 0, 1, 36, -8, 3, 96, 18, 3, -6, 84, 30, 84, 12, -24, -3, 36, 8, -96, -4, 0, -9, -4, -36, -6, 27, 6, 60, -21, 8, 72, 6, 20, -75, 0, -2, 42, -16, -42, 0, -1, -34, -69, -13, 2, 60, 12, -4, -27, 21, -28, 18, -6, -10, 120, -2, 16, -6, 0, 6, 96, 20, -77, 3, 7, 6, 24, 10, 16, 18, 4, 1, 36, 24, -36, -63, -32, 0, 45, -1, 6, 0, -48, -31, 108, 2, 44, -21, -77, 50, -12, 12, 6, -48, -37, 16, 0, 6, -63, 9, -10, 14, 27, -4, -36, 39, -4, 27, -84, 25, -40, 12, -14, -12, -126, 0, 16, 60, 18, -2, 18, -1, -48, -3, 14, -23, -48, 7, 0, 27, -17, 18, -60, 12, 0, -36, 30, 6, 84, 16, -140, 36, 16, 3, 18, 15, 7, 12, 23, -52, -9, 12, 12, 0, -68, -3, 18, 8, 7, 6, 38, 28, 18, 13, 54, -96, -42, 3, 60, 11, 40, -36, 0, -34, -108, 0, -8, -90, -17, -7, 69, 24, 50, 9, -48, 2, -12, 1, 12, 9, 12, 0, 216, 15, -36, -48, 12, 11, -54, -3, 10, -36, 0, -26, 27, 49, 32, 3, 3, 37, 0, -2, -45, -54, -39, 4, 72, -19, -21, 24, -71, -2, 0, -8, -40, 18, -22, -14, 12, 0, -8, -42, -2, 6, -12, -9, 54, -9, 0, 6, 33, 36, -12, 42, 7, 41, -6, 28, 0, 36, 4, -16, -18, 20, 9, 6, 2, 84, 42, -30, -25, 18, 24, -7, 63, -33, 2, 0, -40, 0, -42, -1, -15, -96, 20, 2, -66, 9, -33, -45, 58, 6, 24, -14, -74, -54, 0, -2, 18, 17, 6, -18, 44, -25, -24, 1, 84, -9, 52, 6, 12, 28, 6, -9, -18, 0, -66, 14, 58, -42, 14, 4, 24, 8, 6, 51, 0, -53, 108, 12, 24, -3, 112, -7, 0, 13, 34, -18, -78, 53, -24, -32, 12, -24, -14, -7, -72, -18, 60, -30, 32, -36, 90, 0, 13, -18, 15, -6, -84, 32, -27, 6, -37, 28, -18, -3, 8, 48, 20, -23, -24, 72, 0, 0, 19, -1, -120, 3, 42, -66, -11, 3, 0, -18, -98, -18, 4, -30, 12, -12, 35, 0, 7, -11, -6, -6, 26, -21, 6, 14, 18, 8, 63, 6, 13, 22, 9, -38, 18, -9, 0, 4, 51, 0, -4, -24, -12, 2, -24, -8, 0, -6, -59, 105, -48, -11, -20, 48, 7, 0, 9, -12, -36, -27, 49, 27, 126, 22, -30, -45, -9, 2, -60, 38, 8, -36, 62, -20, 0, 21, 12, 42, 3, -14, -168, -20, 6, -18, -8, -16, -78, -32, -119, -9, 21, 2, -18, 0, 60, -42, -53, 8, 42, 1, 14, 63, -54, 32, -12, -2, -18, 6, -38, -9, 0, 2, 0, 12, 70, -20, 135, 4, 20, -36, -36, 1, 6, 25, 24, 12, 33, -14, -42, -30, -18, 0, 9, -16, -6, 23, 14, 72, -25, -20, 0, 14, -32, 27, -18, -39, -84, -6, 12, -48, 0, -40, -24, 42, 17, 3, -27, 6, -54, -32, 33, -72, 6, -1, 60, 51, 36, -12, 23, 0, 27, -6, -26, 33, -76, -12, -48, -6, -72, 42, -67, 41, 57, -15, -74, -81, 1, 0, 0, -15, -18, -54, 14, -6, 54, 7, 60, -18, 24, 4, -24, 8, -2, 24, -3, 63, 138, 0, 64, -3, 2, -3, 96, 4, 30, -18, 48, 6, 126, -13, 44, -3, 52, 28, 54, 17, 0, -6, 60, 27, 0, 42, -1, 66, 0, -20, 102, -8, -52, -9, 14, -56, -48, 1, 98, 0, -8, 16, -9, 28, 15, 0, 28, -10, 21, 20, -14, -21, -64, 12, -12, 12, 18, -42, 0, -16, -36, -12, -18, 66, 84, -6, -84, 50, 16, -6, 4, -56, 81, 3, -48, 0, -8, 0, 81, -12, 25, -12, -22, -44, 75, -2, 60, -51, -84, -6, -126, 14, 2, 48, 34, 2, 0, -20, 45, 54, -3, 12, 9, -7, 13, 54, -4, -21, -12, 30, -12, 90, -40, -23, 36, 0, 28, -6, 6, 48, 24, 4, 0, -12, -8, -3, -9, -16, 57, -108, 39, -2, 81, 16, 0, 120, -12, 18, 24, 31, 0, 18, 126, -5, -150, -9, -28, -6, 48, -1, -48, 2, -15, 0, -32, -56, -102, 18, -3, -39, 6, -24, 120, -24, -28, -12, 14, -1, 63, 0, -40, 36, 0, -6, -30, -36, -16, -6, 30, 50, -9, 14, 48, 18, -28, 4, 60, -14, -48, 6, -50, 0, 18, -11, 21, 30, 12, -14, 36, 2, 60, 3, 3, 0, 72, -12, 6, -63, -24, 6, 0, 46, -18, -3, -61, -12, 0, -14, 9, -93, 98, -6, 6, -36, -4, -42, -36, 34, 150, 0, -34, 36, -91, 14, -72, 8, 24, 48, 67, -56, 18, 22, -37, 18, -34, 15, 42, 6, 0, -12, -16, 4, 78, 18, -35, 81, -44, -6, 75, -112, -48, 18, -16, 0, -36, 8, 0, 0, -28, 3, 120, -4, -126, -6, -6, 55, -3, 3, 11, -6, -7, 22, -69, 15, -42, 21, 0, 22, 81, -8, 7, 54, -27, -17, 36, -24, -44, -72, 161, -18, 18, 1, 12, 48, 15, 0, 72, -11, 4, 9, -47, -42, 45, 8, 18, 18, 28, 8, -156, -24, -1, 36, -40, 2, 0, 10, -16, -9, 42, -30, 24, -4, -24, 12, -1, -17, 84, 28, -57, 39, -7, -2, -144, 0, -2, 9, -64, 36, 33, -16, 14, -72, 30, 8, -102, 18, -4, 0, -72, 30, -180, 40, 0, -21, 18, 22, 72, -12, -6, 9, 15, -50, 6, 6, -12, 3, -7, -4, 18, -45, -12, 0, 23, -14, 45, 2, -46, -96, 15, 7, 33, 40, -8, -9, 19, 12, -54, -2, 27, -78, 0, -3, 147, -57, 0, 6, 80, 16, 111, -17, -37, -6, 80, 8, -108, -112, 64, 12, -17, 0, -57, 2, 23, 36, -6, 16, -6, -24, 28, -24, 51, 12, 36, -3, -15, -42, 24, 9, 0, 18, -20, -84, -56, 12, 18, 15, 30, -27, -37, 20, -9, 0, -28, 18, 14, 11, 108, 0, 24, 84, -4, -14, 123, 9, -30, 84, -8, -36, 72, 6, 36, -48, 44, 26, 60, -24, 0, 9, -34, 2, 252, 6, -66, -90, -18, 14, 36, 0, -2, -21, 70, 26, -99, -21, -44, 0, -56, 4, 0, 11, 3, -3, 29, -15, -144, 0, -84, 6, -16, -4, 27, 40, -32, -90, 0, -18, 18, 12, 53, -42, -14, -2, -108, -2, -22, -6, 8, 48, 51, 14, 6, 0, -21, 0, -75, 23, -40, 3, -58, 9, -18, -24, -6, 18, 10, 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