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Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

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{'Nk2': 952, 'analytic_conductor': 1.9004395681064732, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [17, -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': [238, 1, [171, 71], [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, [0, 1]], [5, [-2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666158, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 34778, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '238.2.a.d', 'level': 238, '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': True, 'level_primes': [2, 7, 17], 'level_radical': 238, 'minimal_twist': '238.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}-3q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/238/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '238.2.a', 'trace_display': [1, 0, 2, 1], 'trace_hash': 257641944930011138, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.002', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '2.000', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '5.008', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 7}, 'traces': [1, 1, 0, 1, 2, 0, 1, 1, -3, 2, 0, 0, -2, 1, 0, 1, 1, -3, 4, 2, 0, 0, 0, 0, -1, -2, 0, 1, -6, 0, 0, 1, 0, 1, 2, -3, -6, 4, 0, 2, -6, 0, -12, 0, -6, 0, 8, 0, 1, -1, 0, -2, -2, 0, 0, 1, 0, -6, 4, 0, 2, 0, -3, 1, -4, 0, 12, 1, 0, 2, 0, -3, 2, -6, 0, 4, 0, 0, -8, 2, 9, -6, 12, 0, 2, -12, 0, 0, 10, -6, -2, 0, 0, 8, 8, 0, -14, 1, 0, -1, 6, 0, -8, -2, 0, -2, 8, 0, 10, 0, 0, 1, 2, 0, 0, -6, 6, 4, 1, 0, -11, 2, 0, 0, -12, -3, 8, 1, 0, -4, 8, 0, 4, 12, 0, 1, 10, 0, -16, 2, 0, 0, 0, -3, -12, 2, 0, -6, 6, 0, 16, 4, -3, 0, 0, 0, 22, -8, 0, 2, 0, 9, 16, -6, 0, 12, 24, 0, -9, 2, -12, -12, 10, 0, -1, 0, 0, 10, -12, -6, -22, -2, 0, 0, -12, 0, 0, 8, 0, 8, 0, 0, -22, -14, 0, 1, 10, 0, 0, -1, 0, 6, -6, 0, -12, -8, 0, -2, 0, 0, -8, -2, 0, 8, -24, 0, 0, 10, 0, 0, -2, 0, -8, 1, 3, 2, 8, 0, -2, 0, 0, -6, -6, 6, 16, 4, 0, 1, 16, 0, -30, -11, 0, 2, 2, 0, -8, 0, 0, -12, -12, -3, 0, 8, 0, 1, -14, 0, -6, -4, 18, 8, -32, 0, -4, 4, 0, 12, 10, 0, -8, 1, 0, 10, 0, 0, 18, -16, 0, 2, -22, 0, -24, 0, 0, 0, -6, -3, 1, -12, 0, 2, 30, 0, 8, -6, 0, 6, 0, 0, -12, 16, 0, 4, 4, -3, 4, 0, 0, 0, -8, 0, 10, 22, -6, -8, 18, 0, 0, 2, 0, 0, 4, 9, 2, 16, 0, -6, 8, 0, 4, 12, 18, 24, 24, 0, 2, -9, 0, 2, 0, -12, 1, -12, 0, 10, -24, 0, 30, -1, 0, 0, 18, 0, 0, 10, 0, -12, 24, -6, -3, -22, 0, -2, 4, 0, -8, 0, 18, -12, -2, 0, -2, 0, 0, 8, 12, 0, 0, 8, 0, 0, -16, 0, 0, -22, 36, -14, -10, 0, 0, 1, 0, 10, -16, 0, 34, 0, 0, -1, 10, 0, 0, 6, 18, -6, 0, 0, -6, -12, 0, -8, 4, 0, 24, -2, 0, 0, -8, 0, -2, -8, -24, -2, -1, 0, 2, 8, 0, -24, -24, 0, 2, 0, 0, 10, 0, 0, -16, 0, -3, -2, 20, 0, 20, -8, 0, 1, -38, 3, 0, 2, 0, 8, -4, 0, -22, -2, 0, 0, -18, 0, 24, -6, 0, -6, -12, 6, 12, 16, 0, 4, 0, 0, -4, 1, 6, 16, -40, 0, 12, -30, 0, -11, -28, 0, 0, 2, 0, 2, -20, 0, -6, -8, 0, 0, 0, 0, 24, -12, 0, -12, -16, -3, 12, 0, 0, 8, -10, 0, 2, 1, 0, -14, -16, 0, 0, -6, 0, -4, 42, 18, 4, 8, 0, -32, 0, 0, -23, -4, -12, 4, 12, 0, 16, 12, 0, 10, 0, 0, -14, -8, 0, 1, 20, 0, 16, 10, -6, 0, -24, 0, -8, 18, 0, -16, -42, 0, 24, 2, 0, -22, 12, 0, 4, -24, 9, 0, -22, 0, -8, 0, 0, -6, 0, -3, 34, 1, 0, -12, 12, 0, 0, 2, 12, 30, 28, 0, 0, 8, 0, -6, -30, 0, 2, 6, 0, 0, -16, 0, -46, -12, -36, 16, -22, 0, 0, 4, 0, 4, -16, -3, 22, 4, 0, 0, 42, 0, 32, 0, 0, -8, 10, 0, -19, 10, 0, 22, -6, -6, 40, -8, 0, 18, 16, 0, -2, 0, 0, 2, 26, 0, 16, 0, 0, 4, 32, 9, 0, 2, 0, 16, 26, 0, 16, -6, -6, 8, -44, 0, 38, 4, 0, 12, 8, 18, 0, 24, 0, 24, 0, 0, -22, 2, 0, -9, -22, 0, -14, 2, 0, 0, -48, -12, 20, 1, 0, -12, 4, 0, 0, 10, 0, -24, -32, 0, -6, 30, 0, -1, -10, 0, -24, 0, 0, 18, 6, 0, -46, 0, 24, 10, 0, 0, 0, -12, 0, 24, 8, -6, -8, -3, 0, -22, 6, 0, -48, -2, -27, 4, -12, 0, 30, -8, 0, 0, 0, 18, 20, -12, 0, -2, 24, 0, 12, -2, -36, 0, 8, 0, -8, 8, 0, 12, 32, 0, -10, 0, 0, 8, -6, 0, 10, 0, -6, -16, -8, 0, 2, 0, 0, -22, 30, 36, 0, -14, 0, -10, -24, 0, 0, 0, 0, 1, 44, 0, -8, 10, 0, -16, 2, 0, -4, 34, 0, 0, 14, 0, 8, -1, -30, 10, 0, 0, 0, 0, 0, 6, -46, 18, 56, -6, 0, 0, 32, 0, -48, -6, 6, -12, -38, 0, 16, -8, 0, 4, 48, 0, 6, 24, 0, -2, 1, 0, 48, 0, 0, -8, -40, 0, 7, -2, 0, -8, -18, -24, -11, -2, 0, -1, 0, 0, -30, 2, -24, 8, 42, 0, 20, -24, 0, -24, 24, 0, 20, 2, 0, 0, 0, 0, -24, 10, 42, 0, -12, 0, -54, -16, 0, 0, 10, -3, -20, -2, 0, 20, 0, 0, 8, 20, 0, -8, 32, 0, -24, 1, 0, -38, 0, 3, -2, 0, 0, 2, -44, 0, -32, 8, -18, -4, 48, 0, 0, -22, 0, -2, 8, 0, -8, 0, 0, -18, 0, 0, 6, 24, 24, -6, 34, 0, 4, -6, 0, -12, 0, 6, -54, 12, 0, 16, 18, 0, 0, 4, 0, 0, -32, 0, -4, -4, 0, 1, -22, 6, 0, 16, 0, -40, 10, 0, -31, 12, -24, -30, -44, 0, 40, -11, 0, -28, 52, 0, -16, 0, 0, 2, 34, 0, 0, 2, -30, -20, -48, 0, 20, -6, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 10, 24, 0, -12], 'weight': 2, 'weight_parity': 1}