Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 11100, 'analytic_conductor': 22.158486560905306, 'analytic_rank': 1, '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': 4, 'field_disc': 4400, 'field_disc_factorization': [[2, 4], [5, 2], [11, 1]], 'field_poly': [11, 0, -7, 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': [[2, [-1, -1, 1]], [7, [-5, 0, 16, 8, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090449111, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 162015, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2775.2.a.y', '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': '555.2.c.b', 'nf_label': '4.4.4400.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{2})q^{2}+q^{3}+\\beta _{2}q^{4}+(1+\\beta _{2}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2775.2.a', 'trace_display': [2, 4, 0, -8], 'trace_hash': 616307989217832063, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.735', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '38.257', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '608.450', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 7}, 'traces': [4, 2, 4, -2, 0, 2, -8, 0, 4, 0, -4, -2, -2, -4, 0, -6, 2, 2, -4, 0, -8, -2, 0, 0, 0, -6, 4, 4, -12, 0, -2, -18, -4, 6, 0, -2, -4, -2, -2, 0, -26, -4, -6, 2, 0, -10, 6, -6, 4, 0, 2, -4, 0, 2, 0, 0, -4, -16, -12, 0, -6, -16, -8, 8, 0, -2, -8, 4, 0, 0, -34, 0, -20, -2, 0, 2, 10, -6, 6, 0, 4, -18, -2, 4, 0, -8, -12, 0, -24, 0, -10, -10, -2, 8, 0, -18, 14, -8, -4, 0, 10, 6, -10, 10, 0, 0, 16, -2, -24, 0, -4, 12, 6, -2, 0, -4, -2, -16, -8, 0, -26, 12, -26, -14, 0, -4, 28, 50, -6, 0, -8, 2, -10, -4, 0, -10, 12, -10, -14, 0, 6, -12, 14, -6, 0, -20, 4, 2, -22, 0, -24, 0, 2, -10, 0, -4, 8, 38, 0, 0, -32, 2, -20, 8, 0, 14, 34, 0, -20, 0, -4, -2, 2, -16, 0, 6, -12, 8, -4, 0, -26, 0, -6, 20, 0, -16, -30, 2, -8, 0, 16, 8, 20, -18, 0, -12, 6, -2, 2, 0, -8, 40, 54, 4, 0, -10, 0, 18, -12, 0, 38, 0, -34, -12, 0, 0, 2, 18, -20, 0, -30, -2, 24, 36, 0, -12, 16, 2, 8, 0, 10, 20, 18, -6, 0, -4, 6, 16, -4, 0, -58, -8, 4, 18, 0, -18, 4, 30, -2, 0, -4, 4, -4, 24, 0, 14, -2, -8, 8, 0, -12, -4, 40, 0, 0, 20, -24, 4, -14, 0, -20, -18, -10, 26, 0, -10, 8, 38, -2, 0, -56, 8, -34, 22, 0, 32, 38, -18, -6, 0, 14, 0, 2, -8, 0, 0, -4, -46, 38, 0, 24, 18, 10, 6, 0, 6, -76, -20, -10, 0, 52, 10, -26, 24, 0, 32, 24, 0, 2, 0, 16, 24, 30, -2, 0, 40, -24, 10, -38, 0, 12, 16, -4, 62, 0, 12, -12, 20, 6, 0, -12, -2, -16, 10, 0, -4, 32, -4, 2, 0, -2, 18, 40, -16, 0, 32, -8, -12, -6, 0, -38, -28, -26, 10, 0, 12, -28, 30, -26, 0, 36, -14, -24, -30, 0, -10, -24, -4, -50, 0, 28, -32, 14, 50, 0, 40, -6, -32, -32, 0, -2, 20, -8, 48, 0, 2, -56, -4, -10, 0, 0, -4, 4, 30, 0, 42, 4, -10, -32, 0, 12, 0, 74, -10, 0, 4, -14, 4, 36, 0, -38, 44, 6, 0, 0, -12, 10, -28, 14, 0, 56, -6, -16, 46, 0, 42, 36, -20, 4, 0, 4, -60, 6, 2, 0, -28, -22, -16, -16, 0, 38, -18, -24, -12, 0, 0, -36, 4, 2, 0, 32, -10, -8, 48, 0, -36, 46, -4, 22, 0, 8, 20, -20, 38, 0, 24, 0, -12, -76, 0, 2, -34, -32, 18, 0, 2, -8, -30, -20, 0, -6, 8, 4, -8, 0, 48, 48, 14, 56, 0, 34, -12, 4, 0, 0, 38, -20, -4, 8, 0, 90, -48, -4, -6, 0, -2, 32, 4, 2, 0, 14, -16, -100, 4, 0, 50, 12, 6, -8, 0, -12, 30, 44, 8, 0, 0, -4, -22, -12, 0, 54, 40, -26, -4, 0, 0, -64, 14, -6, 0, -8, 20, 40, 24, 0, 52, -18, -16, -30, 0, -30, -48, -2, 2, 0, 28, -8, -10, -68, 0, -20, 18, 16, 24, 0, 8, 18, 22, 20, 0, -16, -18, 32, 20, 0, -4, 0, -12, 18, 0, 6, 6, -30, -2, 0, -24, 2, 34, -22, 0, -88, 42, -8, 42, 0, 40, 46, 18, 54, 0, 56, 4, -52, -48, 0, 30, -34, -10, -36, 0, 0, 36, 96, 18, 0, -68, -12, 16, -2, 0, -50, -70, 38, 52, 0, 0, 64, -24, -34, 0, 50, -12, 20, 56, 0, -10, 28, 0, 32, 0, 2, 60, 72, 18, 0, 54, -20, -54, 10, 0, 50, 6, -30, -30, 0, -2, -40, 28, 24, 0, -8, 36, 12, 84, 0, 40, 40, -12, -42, 0, 16, 4, 24, 2, 0, 52, 8, 24, -4, 0, 60, -6, 10, 36, 0, 20, -42, -94, 18, 0, -24, -6, 4, -8, 0, 70, -40, -4, 16, 0, 6, -40, 34, 16, 0, -8, -4, -18, 122, 0, -34, -54, -58, -2, 0, -8, 50, -10, 4, 0, 44, 18, -20, -64, 0, -10, 50, -18, -74, 0, 4, -32, -18, 30, 0, -52, -2, 0, -8, 0, 62, -24, -4, -22, 0, 4, -10, -110, -4, 0, 28, 24, 42, -48, 0, -8, -14, 14, -60, 0, -2, 20, 16, -8, 0, 50, 8, 84, 28, 0, 4, -66, -12, 24, 0, -4, 20, 42, 40, 0, -72, 0, -24, 12, 0, -6, 20, 20, -68, 0, -24, -100, 40, 4, 0, -8, -14, -70, -64, 0, 10, -12, -20, 2, 0, -18, 20, -66, -10, 0, 74, 26, 4, 10, 0, 12, -108, -10, -44, 0, 8, -14, 8, 38, 0, 16, -2, -92, 38, 0, 10, 36, -56, 6, 0, 8, 48, 0, -34, 0, 0, 22, 4, -10, 0, 40, 76, 32, 20, 0, 38, 128, -10, -18, 0, 32, -6, 44, 28, 0, 40, -60, 14, -22, 0, 0, 52, 32, 2, 0, 22, -8, -6, -30, 0, -32, 66, 0, -46, 0, -4, -52, -18, -46, 0, -100, 38, -48, 46, 0, -64, 44, 24, 30, 0, 18, 0, -28, 10, 0, 140, 6, -28, -48, 0, -4, 28, 6, 8, 0, -76, 36, 2, -20, 0, 36, -10, 44, -20, 0, 68, -54, 52, -32, 0, 10, -96, -34, -26, 0, -64, 24, 38, 48, 0, -30, 24, 32, -10, 0, 24, -40, 20, 0, 0, -8, 2, -28, 26, 0, -64, 6, 16, 24, 0, 24, -40, -10, 30, 0, -34, -2, 28, 66, 0, -36, 46, 40, 30, 0, -24, -78, -20, 10, 0, 52, -38, -12, -14, 0, -58, -6, 12, 54, 0, 16, 40, 8, -4, 0, 0, 62, -56, -8, 0, 32, -68, 12, -40, 0, -12, 42, -12, 20, 0, -20, 6, 84, 112, 0, -94, 20, -12, -22, 0, -2, -56, -4, -16, 0, -32, 10, 52, 56, 0, -4, 40, -4, -22, 0, 32, 92, -42, -4, 0, -90, 2, 0, 12, 0, -68, 10, -2, 6, 0, 18, 36, -44, 40, 0, -42, -16, -44, -50, 0, 82, -2, 32, 76, 0, -8, 12, 12, -12, 0, -8, -6, 64, -24, 0, 42, -48, -38, 60, 0, -28, 34, 14, -26, 0, 56, 10, 6, 48, 0, -40, 24, 12, -44, 0, -28, 46, 100, 30, 0, -110, -26, 16, 6, 0, -40, -90, 36, -124, 0, -14, -88, -50, -24, 0, -58, -30, -82, 8, 0, 34, 148, -10, -110, 0, -24, 62, -38, -4, 0, 36, -50, 16, -88, 0, -12, -10, 28, -50, 0, -32, 2, -14, 14, 0, 26, 50, 100, 24, 0, 28, -50, 40, 22, 0, -6, 2, -44, -32, 0, -4, -32, 60, -32, 0, 10, -6, -2, 10, 0, 20, -68, 14, -8, 0, -116, 48, 64, 18, 0, -100, 38, 2, 48, 0, -56, 70, -56, -4, 0, -4, -10, -6, 92, 0, -124, -124, 0, 18, 0, -4, 48, -60, 4, 0, 114, 30, 98, -22, 0, -8, 72, 42, -72, 0, 4, 88, 38, -10, 0, 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-20, -36, 92, 0, 14, -20, -6, 40, 0, 8, -112, -2, 4, 0, -74, -8, 108, -68, 0, -114, -66, 48, -2, 0, 48, -28, -144, 14, 0, 30, 56, 76, -52, 0, -92, -4, 34, -22, 0, -12, 8, 2, 4, 0, 36, 0, -4, -80, 0, -60, 26, 38, 36, 0, -20, -86, -4, -4, 0, -104, 8, 80, 14, 0, 110, -22, 90, 18, 0, -48, 40, -90, -4, 0, -12, -6, -92, -60, 0, 28, 20, -2, 10, 0, 32, 54, 58, 4, 0, 116, 2, 4, 44, 0, -100, 2, 14, -64, 0, -16, -148, -28, -100, 0, -64, 4, -16, -60, 0, -90, 52, 50, -22, 0, 12, 4, 48, 6, 0, -32, -8, 68, -148, 0, 6, 10, -12, 110, 0, 30, 144, -114, 44, 0, -34, 8, -132, -100, 0, -10, -96, 0, 166, 0, -4, -12, -48, -22, 0, -120, -12, -12, 122, 0, -58, -50, 54, -30, 0, 40, -8, -2, -26, 0, -50, -4, 30, 20, 0, -34, 108, 0, -30, 0, -64, 62, -32, 14, 0, -8, -6, 30, -42, 0, -74, -62, -8, -94, 0, 20, -200, -92, 40, 0, -60, 24, -88, -30, 0, -116, 48, 52, 62, 0, -18, -20, -128, -16, 0, -128, -30, 34, -80, 0, 36, 90, -30, 74, 0, -48, 176, -50, -2, 0, -30, 2, 8, 44, 0, 0, -58, 28, 80, 0, -8, 10, -34, -10, 0, -8, 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0, 36, 42, 2, 28, 0, 60, 112, -50, 72, 0, 0, 18, -90, -72, 0, 90, 186, 54, 78, 0, -20, 48, -38, -54, 0, 20, 10, -32, 48, 0, 108, -54, 50, -34, 0, 6, 0, 6, -30, 0, 38, -30, -112, -70, 0, -48, 112, -2, -32, 0, -40, -40, -76, 28, 0, 32, 24, 20, 40, 0, 130, 28, -8, 36, 0, 36, 90, 10, 12, 0, -116, 84, 68, -80, 0, -6, -110, 40, -44, 0, 40, -72, 12, -12, 0, 76, -42, 96, 8, 0, -82, -42, 16, -70, 0, 4, -136, -50, 24, 0, 18, 2, 82, -28, 0, 10, 48, 52, 82, 0, 8, -176, -6, 24, 0, -104, -4, 24, 70, 0, -38, 0, 60, 30, 0, -6, -38, -76, 10, 0, -40, 36, 56, 78, 0, 144, 122, 20, 60, 0, -42, 10, -70, -94, 0, 12, 18, -44, 80, 0, -60, -164, -24, -60, 0, -6, -44, -6, 4, 0, 108, -8, -112, 48, 0, -36, 160, 70, 88, 0, -40, -6, 60, -4, 0, -32, 16, -60, -16, 0, 74, 38, 6, 44, 0, -40, 108, 38, 34, 0, -160, 16, -116, 36, 0, 16, 34, -8, 140, 0, -4, 30, -194, -18, 0, 76, 122, -52, 104, 0, 22, 56, -34, -102, 0, -54, -28, -100, -58, 0, -66, -2, -4, 12, 0, 30, -200, -8, -36, 0, 50, 208, 12, -10, 0, 98, 4, 112, -28, 0, 80, -78, 44, 92, 0, 18, -70, 38, -20, 0, 32, -64, -144, 54, 0, 70, 168, -10, -8, 0, 50, -150, 16, -18, 0, -40, -74, -12, 120, 0, -72, -50, 4, -114, 0, -32, 48, -106, -18, 0, 78, 30, -10, -104, 0, -20, 46, -52, 0, 0, -2, 66, 30, 0, 0, 24, -8, 40, -168, 0, 90, 36, 62, -16, 0, -24, 6, -170, -4, 0, -40, -22, 20, -90, 0, 16, 96, 4, 38, 0, -10, 158, -42, -110, 0, 84, -4, -84, -28, 0, -6, -156, 28, 10, 0, 24, -84, -96, 42, 0, -18, -48, 84, 16, 0, -10, -104, -8, 58, 0, -14, 38, 100, 14, 0, 190, -60, 6, 60, 0, 194, -50, -2, -20, 0, 20, 138, -14, 16, 0, -70, -8, -30, 18, 0, -132, 154, 50, -14, 0, 8, -36, -30, 84, 0, 80, 28, -156, -8, 0, -16, 90, 4, 10, 0, -66, -8, 10, -12, 0, -8, 24, 164, -64, 0, -4, -46, -4, 72, 0, 20, -148, 38, 42, 0, 12, 40, -8, 118, 0, 6, -70, -72, -46, 0, 0, -100, 74, -24, 0, 80, 12, 172, 138, 0, 132, 70, -6, 98, 0, 20, -30, -216, 20, 0, 16, -68, 56, 20, 0, 56, -82, -24, -36, 0, -100, -34, -60, 40, 0, 96, 4, 2, -26, 0, -54, -4, -8, 58, 0, -14, 62, 26, -70, 0, 164, -64, -68, 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-10, 0, 8, 30, -70, 240, 0, 206, 50, -34, -98, 0, -2, -246, -8, 28, 0, -40, 66, -6, 18, 0, -10, -222, -36, -110, 0, 46, 40, -20, 40, 0, 100, 30, 106, -70, 0, 104, 32, -24, -10, 0, -78, 94, -10, -20, 0, 196, 10, -104, -56, 0, 72, -76, 52, 10, 0, -38, -202, 282, -12, 0, 64, -14, 100, -54, 0, 58, -96, -58, 52, 0, -6, 180, -66, 12, 0, 84, 54, 106, 80, 0, -42, -20, 16, -28, 0, 40, 90, 110, 8, 0, 84, -4, 4, 40, 0], 'weight': 2, 'weight_parity': 1}