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mf_newforms • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [13, 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': [507, 1, [170, 340], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-13, -4, 3, 1]], [5, [-13, 5, 6, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052518907, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, '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': True, 'label': '507.2.a.i', 'level': 507, '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, 13], 'level_radical': 39, 'minimal_twist': '507.2.a.i', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1}+\\beta _{2})q^{2}-q^{3}+(4-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.2.a', 'trace_display': [-3, -3, -6, -2], 'trace_hash': 1858136030346877, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.438', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '256.828', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [3, -3, -3, 11, -6, 3, -2, -12, 3, -1, -5, -11, 0, -5, 6, 11, -1, -3, 7, -15, 2, -9, 0, 12, 11, 0, -3, -5, -2, 1, 16, -22, 5, 8, 4, 11, -22, 0, 0, 3, -11, 5, -15, -16, -6, 7, -7, -11, -15, 3, 1, 0, -17, 3, 3, 1, -7, -12, 6, 15, -13, -2, -2, 0, 0, 9, -11, -13, 0, 24, 0, -12, -6, 15, -11, 21, 15, 0, 3, 20, 3, -3, -12, 5, -19, 29, 2, 13, -1, -1, 0, 7, -16, 0, -21, 22, 5, 29, -5, 24, 2, -8, -14, 0, -4, 45, -13, -11, -15, 67, 22, 2, 24, 0, 28, -5, 0, 8, 3, -3, 8, 48, 11, 61, -27, -5, 15, -5, 15, 0, 12, 16, -7, 32, 6, 32, -25, -7, -13, 3, 7, -14, 0, 11, -3, -15, 15, -76, -45, -3, 30, -14, -1, 13, -11, 0, 9, -24, 17, -5, -14, -3, -17, -38, -3, 19, -25, -1, 0, 33, 7, -69, 18, 12, -5, -16, -6, 50, -2, -15, -37, 0, 13, -21, 51, 2, 18, -21, 2, -7, -11, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0], [-1, 1, 1], [-1, 0, 0], [4, -1, 0], [-1, -2, 1], [1, -1, -1], [-1, 0, -1], [-5, 3, 0], [1, 0, 0], [-3, 2, -6], [-3, 1, -3], [-4, 1, 0], [0, 0, 0], [-1, -2, 0], [1, 2, -1], [6, -6, 1], [-2, 3, -2], [-1, 1, 1], [2, 1, 0], [-1, -7, 5], [1, 0, 1], [0, -7, 2], [3, -4, 5], [5, -3, 0], [1, 5, -3], [0, 0, 0], [-1, 0, 0], [-3, 1, -3], [-2, 1, -3], [3, -2, 6], [8, -3, 5], [-12, 7, -7], [3, -1, 3], [7, -7, 6], [2, 1, 3], [4, -1, 0], [-7, -1, 0], [1, 1, 4], [0, 0, 0], [-4, 7, -8], [-5, 1, -3], [1, 2, 0], [-7, 4, -2], [-11, 7, -10], [-1, -2, 1], [-5, 12, -10], [-2, -1, 0], [-6, 6, -1], [-5, 1, 1], [8, -7, 14], [2, -3, 2], [0, 0, 0], [-5, 1, 3], [1, -1, -1], [3, 2, 8], [2, -3, 2], [-2, -1, 0], [-1, -6, 3], [0, 4, -2], [1, 7, -5], [-2, -1, 6], [-7, 16, -3], [-1, 0, -1], [7, -14, 7], [0, 0, 0], [0, 7, -2], [0, -4, 7], [-12, 14, -9], [-3, 4, -5], [7, 4, 1], [4, -7, 5], [-5, 3, 0], [-7, 6, -9], [4, -6, -9], [-1, -5, 3], [6, 2, -1], [5, 2, 2], [0, 0, 0], [0, 0, -3], [11, -5, 8], [1, 0, 0], [2, -9, 0], [-3, -1, 2], [3, -1, 3], [-5, -1, 3], [15, -13, 3], [2, -1, 3], [12, -14, 9], [-2, 6, 1], [-3, 2, -6], [0, 0, 0], [15, -19, 19], [-8, 3, -5], [-1, -1, -4], [-5, -5, 1], [12, -7, 7], [-3, 12, -2], [10, -5, -4], [-3, 1, -3], [-3, 19, -14]], 'ap': [[-1, 1, 1], [-1, 0, 0], [-1, -2, 1], [-1, 0, -1], [-3, 1, -3], [0, 0, 0], [-2, 3, -2], [2, 1, 0], [3, -4, 5], [-2, 1, -3], [8, -3, 5], [-7, -1, 0], [-5, 1, -3], [-7, 4, -2], [-2, -1, 0], [-5, 1, 3], [0, 4, -2], [-2, -1, 6], [0, -4, 7], [4, -7, 5], [-7, 6, -9], [0, 0, -3], [-3, -1, 2], [-2, 6, 1], [-3, 12, -2], [1, -4, -3], [-6, 0, -4], [-1, -7, 3], [-5, -5, -5], [9, -1, 2], [3, 6, 0], [-2, 9, -9], [-5, -10, 0], [-9, 9, -5], [-14, 0, 3], [7, 8, -1], [11, -10, 14], [-6, 6, 5], [-7, -2, 2], [8, -11, -5], [3, -12, -1], [-8, -6, 7], [-12, 12, -13], [3, -16, 12], [-3, -9, 8], [8, -6, 1], [8, 5, 5], [7, -5, -7], [-3, 0, 8], [6, -3, 13], [8, -1, 2], [-3, 13, 2], [2, -14, 1], [6, -1, 18], [0, 8, 7], [6, -6, -11], [16, -9, 8], [21, 1, 0], [-9, -9, 1], [-1, -2, 7], [0, 1, -14], [-5, 2, -17], [6, 1, -1], [-18, 4, -1], [2, -13, -10], [-12, 14, -7], [9, -5, 9], [4, 1, 1], [-7, 1, 2], [-14, 8, 0], [24, -10, 21], [8, -12, -7], [2, -10, 11], [9, -15, -1], [-5, 11, -6], [6, -16, 3], [-19, 0, -4], [4, 3, -4], [6, -1, 13], [27, -2, -1], [7, -4, 12], [-10, 5, -6], [-20, 16, -9], [-20, 15, -14], [-4, -11, -7], [10, -3, 4], [18, 3, 4], [-19, 14, -9], [-13, 12, -8], [20, -12, 4], [-15, 26, -20], [3, -5, 2], [17, 6, -12], [9, -5, 23], [10, 2, 16], [17, -12, 21], [10, -2, 2], [3, -2, 16], [5, 2, -17], [-1, -19, 5], [-1, 27, -16], [-24, 13, -5], [-23, 9, -10], [-11, 7, 5], [7, -6, 27], [-13, 5, -4], [-10, 2, -14], [-12, 18, -26], [14, 16, -11], [-5, 22, 2], [6, -5, -9], [-13, 7, -24], [10, 0, 12], [-28, 11, -22], [17, -13, -14], [19, -18, -9], [0, -21, -8], [-9, 11, -13], [-16, 22, -23], [-39, 9, -17], [-6, 28, -5], [-5, -3, 3], [3, 1, 0], [-15, 0, 3], [-3, 5, 15], [-1, 17, -3], [-12, -1, 11], [-4, 20, -4], [-1, -27, 2], [-24, 18, 1], [-19, 7, -24], [20, 1, 16], [-19, -8, 9], [17, -5, 1], [24, -14, 7], [4, 6, -16], [25, -14, 7], [15, -13, 13], [20, -2, 4], [7, -4, 2], [2, 7, -26], [13, -35, 29], [-1, -18, 21], [-2, -31, 3], [29, -20, 1], [-13, 6, 6], [-9, 16, -5], [10, -34, 22], [15, -6, -25], [0, 15, 0], [-37, 2, -6], [-34, 5, 2], [14, -17, 10], [-8, -15, 7], [-13, -27, 3], [18, 3, -19], [-7, -21, 11], [-19, 16, -14], [0, 10, -19], [-3, -29, 11], [39, -3, 11], [-32, 16, -25], [-19, 3, -28], [1, 10, 18], [-23, 25, -16], [-24, 18, -27], [9, 1, 1], [-16, 24, -23]], 'char_orbit_index': 1, 'field_poly': [1, -2, -1, 1], 'hecke_orbit_code': 36028797052518907, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '507.2.a.i', 'level': 507, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 7, 9, 3], 'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [507, 1, [170, 340], [1, 1]], 'conrey_index': 1, 'cusp_dim': 47, 'dim': 25, 'eis_dim': 27, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33554939, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '507.2.a', 'level': 507, '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, 13], 'level_radical': 39, 'mf_dim': 74, 'mf_new_dim': 25, 'num_forms': 12, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 25, 'sturm_bound': 121, 'trace_bound': 5, 'trace_display': [1, -1, -2, 4], 'traces': [25, 1, -1, 27, -2, 3, 4, 9, 25, 2, 0, -7, 0, -8, 2, 19, -10, 1, 0, -14, -4, -16, 4, 3, 19, 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104, -26, -38, 64, 0, 4, 92, 136, 56, 0, -256, 26, -276, -34, -10, 48, -28, -32, -220, 204, 30, -63, 0, -32, -34, 380, -56, 44, -27, 32, -68, -116, -7, 112, -188, 0, -2, -14, -64, -112, 2, 14, -36, -44, -70, 216, -4, -40, 0, -132, -24, 20, -352, -40, -16, 16, 32, -102, 148, 2, 124], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 358027
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '507.2.a.i', 'target_level': 507, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 358028
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '507.2.a.l', 'target_level': 507, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358029
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.b.f', 'target_level': 507, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358030
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '507.2.e.i', 'target_level': 507, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 358031
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '507.2.e.l', 'target_level': 507, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 358032
{'conductor': 13, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '507.2.j.i', 'target_level': 507, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358033
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1521.2.a.n', 'target_level': 1521, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358034
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1521.2.a.s', 'target_level': 1521, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358035
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1521.2.b.k', 'target_level': 1521, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358036
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 59, 'target_is_minimal': False, 'target_label': '8112.2.a.cg', 'target_level': 8112, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358037
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '507.2.a.i', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '8112.2.a.cp', 'target_level': 8112, 'twist_class_label': '507.2.a.i', 'twist_class_level': 507, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 979800
{'charpoly_factorization': [[[-13, -4, 3, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 2}
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id: 979801
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 36028797052518907, 'p': 3}
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id: 979802
{'charpoly_factorization': [[[-13, 5, 6, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 5}
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id: 979803
{'charpoly_factorization': [[[-1, -1, 2, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 7}
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id: 979804
{'charpoly_factorization': [[[-41, -8, 5, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 11}
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id: 979805
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 36028797052518907, 'p': 13}
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id: 979806
{'charpoly_factorization': [[[13, -16, 1, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 17}
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id: 979807
{'charpoly_factorization': [[[-7, 14, -7, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 19}
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id: 979808
{'charpoly_factorization': [[[91, -49, 0, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 23}
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id: 979809
{'charpoly_factorization': [[[-29, -15, 2, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 29}
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id: 979810
{'charpoly_factorization': [[[197, 41, -16, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 31}
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id: 979811
{'charpoly_factorization': [[[377, 159, 22, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 37}
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id: 979812
{'charpoly_factorization': [[[-29, 24, 11, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 41}
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id: 979813
{'charpoly_factorization': [[[41, 47, 15, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 43}
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id: 979814
{'charpoly_factorization': [[[7, 14, 7, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 47}
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id: 979815
{'charpoly_factorization': [[[-41, 66, 17, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 53}
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id: 979816
{'charpoly_factorization': [[[104, -16, -6, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 59}
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id: 979817
{'charpoly_factorization': [[[-167, -16, 13, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 61}
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id: 979818
{'charpoly_factorization': [[[41, -46, 11, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 67}
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id: 979819
{'charpoly_factorization': [[[-203, -91, 0, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 71}
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id: 979820
{'charpoly_factorization': [[[-923, -135, 6, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 73}
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id: 979821
{'charpoly_factorization': [[[27, -18, -3, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 79}
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id: 979822
{'charpoly_factorization': [[[43, 41, 12, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 83}
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id: 979823
{'charpoly_factorization': [[[-113, -100, 1, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 89}
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id: 979824
{'charpoly_factorization': [[[1637, -281, -5, 1], 1]], 'hecke_orbit_code': 36028797052518907, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '507.2.a.i', 'level': 507, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50293981
{'hecke_orbit_code': 36028797052518907, 'n': 1, 'trace_an': 3}
-
id: 50293982
{'hecke_orbit_code': 36028797052518907, 'n': 2, 'trace_an': -3}
-
id: 50293983
{'hecke_orbit_code': 36028797052518907, 'n': 3, 'trace_an': -3}
-
id: 50293984
{'hecke_orbit_code': 36028797052518907, 'n': 4, 'trace_an': 11}
-
id: 50293985
{'hecke_orbit_code': 36028797052518907, 'n': 5, 'trace_an': -6}
-
id: 50293986
{'hecke_orbit_code': 36028797052518907, 'n': 6, 'trace_an': 3}
-
id: 50293987
{'hecke_orbit_code': 36028797052518907, 'n': 7, 'trace_an': -2}
-
id: 50293988
{'hecke_orbit_code': 36028797052518907, 'n': 8, 'trace_an': -12}
-
id: 50293989
{'hecke_orbit_code': 36028797052518907, 'n': 9, 'trace_an': 3}
-
id: 50293990
{'hecke_orbit_code': 36028797052518907, 'n': 10, 'trace_an': -1}
-
id: 50293991
{'hecke_orbit_code': 36028797052518907, 'n': 11, 'trace_an': -5}
-
id: 50293992
{'hecke_orbit_code': 36028797052518907, 'n': 12, 'trace_an': -11}
-
id: 50293993
{'hecke_orbit_code': 36028797052518907, 'n': 13, 'trace_an': 0}
-
id: 50293994
{'hecke_orbit_code': 36028797052518907, 'n': 14, 'trace_an': -5}
-
id: 50293995
{'hecke_orbit_code': 36028797052518907, 'n': 15, 'trace_an': 6}
-
id: 50293996
{'hecke_orbit_code': 36028797052518907, 'n': 16, 'trace_an': 11}
-
id: 50293997
{'hecke_orbit_code': 36028797052518907, 'n': 17, 'trace_an': -1}
-
id: 50293998
{'hecke_orbit_code': 36028797052518907, 'n': 18, 'trace_an': -3}
-
id: 50293999
{'hecke_orbit_code': 36028797052518907, 'n': 19, 'trace_an': 7}
-
id: 50294000
{'hecke_orbit_code': 36028797052518907, 'n': 20, 'trace_an': -15}
-
id: 50294001
{'hecke_orbit_code': 36028797052518907, 'n': 21, 'trace_an': 2}
-
id: 50294002
{'hecke_orbit_code': 36028797052518907, 'n': 22, 'trace_an': -9}
-
id: 50294003
{'hecke_orbit_code': 36028797052518907, 'n': 23, 'trace_an': 0}
-
id: 50294004
{'hecke_orbit_code': 36028797052518907, 'n': 24, 'trace_an': 12}
-
id: 50294005
{'hecke_orbit_code': 36028797052518907, 'n': 25, 'trace_an': 11}
-
id: 50294006
{'hecke_orbit_code': 36028797052518907, 'n': 26, 'trace_an': 0}
-
id: 50294007
{'hecke_orbit_code': 36028797052518907, 'n': 27, 'trace_an': -3}
-
id: 50294008
{'hecke_orbit_code': 36028797052518907, 'n': 28, 'trace_an': -5}
-
id: 50294009
{'hecke_orbit_code': 36028797052518907, 'n': 29, 'trace_an': -2}
-
id: 50294010
{'hecke_orbit_code': 36028797052518907, 'n': 30, 'trace_an': 1}
-
id: 50294011
{'hecke_orbit_code': 36028797052518907, 'n': 31, 'trace_an': 16}
-
id: 50294012
{'hecke_orbit_code': 36028797052518907, 'n': 32, 'trace_an': -22}
-
id: 50294013
{'hecke_orbit_code': 36028797052518907, 'n': 33, 'trace_an': 5}
-
id: 50294014
{'hecke_orbit_code': 36028797052518907, 'n': 34, 'trace_an': 8}
-
id: 50294015
{'hecke_orbit_code': 36028797052518907, 'n': 35, 'trace_an': 4}
-
id: 50294016
{'hecke_orbit_code': 36028797052518907, 'n': 36, 'trace_an': 11}
-
id: 50294017
{'hecke_orbit_code': 36028797052518907, 'n': 37, 'trace_an': -22}
-
id: 50294018
{'hecke_orbit_code': 36028797052518907, 'n': 38, 'trace_an': 0}
-
id: 50294019
{'hecke_orbit_code': 36028797052518907, 'n': 39, 'trace_an': 0}
-
id: 50294020
{'hecke_orbit_code': 36028797052518907, 'n': 40, 'trace_an': 3}
-
id: 50294021
{'hecke_orbit_code': 36028797052518907, 'n': 41, 'trace_an': -11}
-
id: 50294022
{'hecke_orbit_code': 36028797052518907, 'n': 42, 'trace_an': 5}
-
id: 50294023
{'hecke_orbit_code': 36028797052518907, 'n': 43, 'trace_an': -15}
-
id: 50294024
{'hecke_orbit_code': 36028797052518907, 'n': 44, 'trace_an': -16}
-
id: 50294025
{'hecke_orbit_code': 36028797052518907, 'n': 45, 'trace_an': -6}
-
id: 50294026
{'hecke_orbit_code': 36028797052518907, 'n': 46, 'trace_an': 7}
-
id: 50294027
{'hecke_orbit_code': 36028797052518907, 'n': 47, 'trace_an': -7}
-
id: 50294028
{'hecke_orbit_code': 36028797052518907, 'n': 48, 'trace_an': -11}
-
id: 50294029
{'hecke_orbit_code': 36028797052518907, 'n': 49, 'trace_an': -15}
-
id: 50294030
{'hecke_orbit_code': 36028797052518907, 'n': 50, 'trace_an': 3}
-
id: 50294031
{'hecke_orbit_code': 36028797052518907, 'n': 51, 'trace_an': 1}
-
id: 50294032
{'hecke_orbit_code': 36028797052518907, 'n': 52, 'trace_an': 0}
-
id: 50294033
{'hecke_orbit_code': 36028797052518907, 'n': 53, 'trace_an': -17}
-
id: 50294034
{'hecke_orbit_code': 36028797052518907, 'n': 54, 'trace_an': 3}
-
id: 50294035
{'hecke_orbit_code': 36028797052518907, 'n': 55, 'trace_an': 3}
-
id: 50294036
{'hecke_orbit_code': 36028797052518907, 'n': 56, 'trace_an': 1}
-
id: 50294037
{'hecke_orbit_code': 36028797052518907, 'n': 57, 'trace_an': -7}
-
id: 50294038
{'hecke_orbit_code': 36028797052518907, 'n': 58, 'trace_an': -12}
-
id: 50294039
{'hecke_orbit_code': 36028797052518907, 'n': 59, 'trace_an': 6}
-
id: 50294040
{'hecke_orbit_code': 36028797052518907, 'n': 60, 'trace_an': 15}
-
id: 50294041
{'hecke_orbit_code': 36028797052518907, 'n': 61, 'trace_an': -13}
-
id: 50294042
{'hecke_orbit_code': 36028797052518907, 'n': 62, 'trace_an': -2}
-
id: 50294043
{'hecke_orbit_code': 36028797052518907, 'n': 63, 'trace_an': -2}
-
id: 50294044
{'hecke_orbit_code': 36028797052518907, 'n': 64, 'trace_an': 0}
-
id: 50294045
{'hecke_orbit_code': 36028797052518907, 'n': 65, 'trace_an': 0}
-
id: 50294046
{'hecke_orbit_code': 36028797052518907, 'n': 66, 'trace_an': 9}
-
id: 50294047
{'hecke_orbit_code': 36028797052518907, 'n': 67, 'trace_an': -11}
-
id: 50294048
{'hecke_orbit_code': 36028797052518907, 'n': 68, 'trace_an': -13}
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