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mf_newforms • Show schema
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{'Nk2': 1932, 'analytic_conductor': 3.8567744176278427, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -1], [23, 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': [483, 1, [323, 346, 442], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 24197, 'field_disc_factorization': [[24197, 1]], 'field_poly': [2, -1, -6, 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, [2, 1, -6, 0, 1]], [5, [8, 14, -1, -5, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052518883, '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': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '483.2.a.i', 'level': 483, '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': [3, 7, 23], 'level_radical': 483, 'minimal_twist': '483.2.a.i', 'nf_label': '4.4.24197.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(1-\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '483.2.a', 'trace_display': [0, -4, 5, 4], 'trace_hash': 1794091217532381296, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.070', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.893', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0], [0, -1, 0, 0], [-1, 0, 0, 0], [1, 0, 1, 0], [1, 0, 0, -1], [0, 1, 0, 0], [1, 0, 0, 0], [-1, -1, 0, -1], [1, 0, 0, 0], [1, -1, 1, 0], [-1, 0, -1, 1], [-1, 0, -1, 0], [2, -1, 1, 1], [0, -1, 0, 0], [-1, 0, 0, 1], [2, 1, 0, 0], [3, 1, -1, 0], [0, -1, 0, 0], [1, -2, -1, 1], [0, -3, 1, 1], [-1, 0, 0, 0], [0, 3, -1, 1], [-1, 0, 0, 0], [1, 1, 0, 1], [1, 1, -1, -3], [1, -4, 0, -1], [-1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, -2], [-1, 1, -1, 0], [1, 1, -1, 0], [-1, 0, -1, 2], [1, 0, 1, -1], [-2, -1, -1, 1], [1, 0, 0, -1], [1, 0, 1, 0], [5, 3, -1, 0], [6, 1, 1, 1], [-2, 1, -1, -1], [5, 0, 0, -1], [1, 0, 1, 1], [0, 1, 0, 0], [2, 3, 1, -1], [-7, 2, -2, -1], [1, 0, 0, -1], [0, 1, 0, 0], [2, -1, 0, 1], [-2, -1, 0, 0], [1, 0, 0, 0], [1, 1, 2, 1], [-3, -1, 1, 0], [9, 1, 3, -2], [-1, 1, -2, 2], [0, 1, 0, 0], [-5, 2, 0, 1], [-1, -1, 0, -1], [-1, 2, 1, -1], [-2, -3, 1, -1], [-1, 7, 0, -2], [0, 3, -1, -1], [6, -2, -1, 0], [-2, 1, -1, 1], [1, 0, 0, 0], [-5, 1, -2, 1], [-3, -5, 3, 2], [0, -3, 1, -1], [1, 2, 0, 3], [-3, 2, 2, 1], [1, 0, 0, 0], [1, -1, 1, 0], [-4, -1, 1, 1], [-1, -1, 0, -1], [5, -1, 1, 4], [-8, -3, -3, 1], [-1, -1, 1, 3], [-7, -4, 0, -3], [-1, 0, -1, 1], [-1, 4, 0, 1], [-3, -1, 1, -2], [1, 1, -1, -2], [1, 0, 0, 0], [-2, -3, -1, -1], [1, 1, 3, -4], [-1, 0, -1, 0], [3, 4, -2, -5], [-9, -4, -2, -1], [-1, -1, -1, 2], [-3, 5, 1, 0], [0, -1, 1, 3], [1, -1, 1, 0], [2, -1, 1, 1], [-1, 0, -1, 0], [-1, -1, 1, 0], [2, -2, 0, 0], [-1, 0, 2, -1], [1, 0, 1, -2], [-1, 3, -1, -2], [0, -1, 0, 0], [-1, 0, -1, 1], [-8, -7, 0, 4]], 'ap': [[0, -1, 0, 0], [-1, 0, 0, 0], [1, 0, 0, -1], [1, 0, 0, 0], [-1, 0, -1, 1], [2, -1, 1, 1], [3, 1, -1, 0], [1, -2, -1, 1], [-1, 0, 0, 0], [1, 1, 1, -2], [1, 1, -1, 0], [5, 3, -1, 0], [1, 0, 1, 1], [2, 3, 1, -1], [2, -1, 0, 1], [-1, 1, -2, 2], [-1, 7, 0, -2], [6, -2, -1, 0], [1, 2, 0, 3], [-4, -1, 1, 1], [5, -1, 1, 4], [-3, -1, 1, -2], [1, 1, 3, -4], [0, -1, 1, 3], [-1, 3, -1, -2], [-3, 3, 2, 2], [2, 3, -6, 1], [-8, 1, -1, -1], [5, -6, -2, 1], [-7, 0, 2, -1], [0, -10, 1, 4], [7, -2, 3, -1], [7, 0, 3, -5], [9, -4, 2, 1], [-2, 5, -2, 1], [-6, -5, 4, -3], [4, -3, 0, 3], [3, -1, 6, -2], [1, 0, 1, 3], [9, -3, 1, 2], [-3, -8, 2, 1], [-1, -1, 3, -2], [-6, 3, 0, 5], [0, -3, 4, -5], [4, -3, -1, 5], [-1, -3, 0, 0], [5, 2, -1, 9], [-3, 10, 2, -1], [-3, -2, 2, -9], [5, 11, 0, -2], [-3, 4, 0, 3], [-23, 2, 0, -1], [-1, -2, 3, 1], [-10, -6, 0, -4], [2, -7, -2, -3], [-1, -2, -7, -1], [0, 3, -3, 3], [1, -3, 1, -8], [14, 2, -3, 0], [-10, -2, -6, 6], [-13, 2, -4, -3], [4, -8, 2, 2], [3, -7, -3, 2], [-6, 0, 9, 0], [14, 5, 0, 1], [7, -2, 4, 3], [-4, 3, -4, -5], [-2, -3, -1, -5], [3, -1, -7, 0], [-1, 4, 2, 5], [7, 3, 3, 6], [-3, 18, 0, -5], [-4, 14, 1, -8], [-3, -5, 7, 0], [0, 2, 4, -2], [-13, -1, -3, 4], [9, -9, -1, 8], [-8, -8, 0, -6], [-11, -2, -1, -1], [-9, -7, 5, 0], [3, 10, 2, 1], [0, 7, -1, -5], [-14, -14, 7, -2], [-4, 3, 4, -11], [-7, 11, 3, 2], [0, -8, 0, -4], [-5, 6, 4, -5], [-5, 0, -6, 1], [3, -6, -8, 3], [-3, 4, 9, 3], [-1, 3, 5, 0], [3, -1, -1, 0], [-3, -7, -3, -8], [-10, -9, 7, -5], [15, 4, -6, 7], [-7, -4, -2, 5], [-10, 1, -2, -3], [-14, 4, -4, -4], [20, 7, 4, -9], [6, 1, -6, 5], [7, -4, -2, -1], [-10, 2, 6, -2], [10, -3, -5, 5], [2, 7, 4, 7], [-21, -1, -1, -4], [-6, 12, -4, -4], [8, 4, -13, 2], [14, -6, -2, -6], [2, 15, -5, -5], [-25, 8, 0, -7], [14, -3, -1, 13], [11, 7, -5, 10], [-10, -3, -5, 3], [-6, -3, 7, -11], [19, 3, 9, -8], [-18, 0, 3, 6], [16, 0, 1, -6], [7, -2, 4, -7], [9, 4, 4, 3], [-27, 1, -3, -4], [-11, -14, 1, 3], [-9, -8, -5, 11], [10, -15, -3, 3], [13, 3, -1, 10], [18, -5, 1, 7], [5, 9, 10, -8], [18, -3, -1, -5], [-13, -11, -7, 10], [31, -10, -3, -1], [-2, 22, 2, -6], [-9, -7, 5, -2], [-1, 13, -6, -4], [9, 12, -6, 5], [-1, -1, -11, 2], [14, -11, 4, 1], [2, -6, -2, 6], [11, -1, -7, -2], [7, -13, 4, 10], [-12, 4, 8, -6], [-2, 5, 15, -5], [-5, 1, -9, 6], [20, -10, -8, -4], [3, 3, 0, 10], [9, 3, 0, 4], [-23, -5, 3, -4], [-12, -7, -7, 3], [-2, -8, 6, 4], [-8, -1, -4, -3], [10, 18, -6, -4], [6, -2, 8, -4], [-26, 11, -4, -5], [-2, -10, -2, -2], [-4, 9, 3, 11], [-20, 5, 3, -5], [-7, 4, 6, -7], [-20, -2, -6, -10], [11, -13, -7, 0], [-1, -12, 10, 1], [-13, 0, -3, 11], [-8, 0, 2, 6], [2, 6, 2, 8], [8, -12, -7, 8], [10, 6, -6, -4], [26, 1, 1, 5], [14, -2, 7, 12], [19, -1, 5, -4], [-8, 8, -5, 10], [1, 21, -5, -10]], 'char_orbit_index': 1, 'field_poly': [2, -1, -6, 0, 1], 'hecke_orbit_code': 36028797052518883, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 0, 1, 0], [1, 5, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, 0, 1, 0], [-1, -5, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '483.2.a.i', 'level': 483, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 4, 4, 2, 4, 2, 2, 3], 'Nk2': 1932, 'analytic_conductor': 3.8567744176278427, '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': [483, 1, [323, 346, 442], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 61, 'dim': 23, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33554915, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '483.2.a', 'level': 483, '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': [3, 7, 23], 'level_radical': 483, 'mf_dim': 68, 'mf_new_dim': 23, 'num_forms': 10, 'plus_dim': 8, 'prim_orbit_index': 1, 'relative_dim': 23, 'sturm_bound': 128, 'trace_bound': 5, 'trace_display': [1, -1, 10, -1], 'traces': [23, 1, -1, 21, 10, -3, -1, -3, 23, 6, -12, 9, 2, -3, -6, 21, 14, 1, -20, 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mf_twists_nf • Show schema
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id: 346283
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '483.2.a.i', 'source_level': 483, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '483.2.a.i', 'target_level': 483, 'twist_class_label': '483.2.a.i', 'twist_class_level': 483, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 346284
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '483.2.a.i', 'source_level': 483, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1449.2.a.p', 'target_level': 1449, 'twist_class_label': '483.2.a.i', 'twist_class_level': 483, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 346285
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '483.2.a.i', 'source_level': 483, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3381.2.a.w', 'target_level': 3381, 'twist_class_label': '483.2.a.i', 'twist_class_level': 483, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 346286
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '483.2.a.i', 'source_level': 483, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 56, 'target_is_minimal': False, 'target_label': '7728.2.a.cd', 'target_level': 7728, 'twist_class_label': '483.2.a.i', 'twist_class_level': 483, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 950175
{'charpoly_factorization': [[[2, 1, -6, 0, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 2}
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id: 950176
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 36028797052518883, 'p': 3}
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id: 950177
{'charpoly_factorization': [[[8, 14, -1, -5, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 5}
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id: 950178
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 36028797052518883, 'p': 7}
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id: 950179
{'charpoly_factorization': [[[-68, -65, -9, 5, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 11}
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id: 950180
{'charpoly_factorization': [[[-236, 152, -11, -7, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 13}
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id: 950181
{'charpoly_factorization': [[[-104, 10, 37, -12, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 17}
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id: 950182
{'charpoly_factorization': [[[52, 51, -37, -3, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 19}
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id: 950183
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 36028797052518883, 'p': 23}
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id: 950184
{'charpoly_factorization': [[[-436, 264, -31, -6, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 29}
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id: 950185
{'charpoly_factorization': [[[-16, 46, -11, -4, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 31}
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id: 950186
{'charpoly_factorization': [[[-1868, 280, 91, -20, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 37}
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id: 950187
{'charpoly_factorization': [[[-34, 71, -27, -3, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 41}
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id: 950188
{'charpoly_factorization': [[[272, 184, -39, -9, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 43}
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id: 950189
{'charpoly_factorization': [[[-32, 28, 6, -7, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 47}
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id: 950190
{'charpoly_factorization': [[[-202, -249, -68, 6, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 53}
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id: 950191
{'charpoly_factorization': [[[17564, -263, -278, 2, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 59}
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id: 950192
{'charpoly_factorization': [[[-1286, -191, 172, -24, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 61}
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id: 950193
{'charpoly_factorization': [[[4208, -24, -141, -1, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 67}
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id: 950194
{'charpoly_factorization': [[[64, 128, 79, 17, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 71}
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id: 950195
{'charpoly_factorization': [[[-6656, 2270, -95, -16, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 73}
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id: 950196
{'charpoly_factorization': [[[128, -214, -17, 10, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 79}
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id: 950197
{'charpoly_factorization': [[[-7256, 2450, -195, -8, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 83}
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id: 950198
{'charpoly_factorization': [[[-92, 380, -113, 3, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 89}
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id: 950199
{'charpoly_factorization': [[[4, -356, -87, 2, 1], 1]], 'hecke_orbit_code': 36028797052518883, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '483.2.a.i', 'level': 483, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50292691
{'hecke_orbit_code': 36028797052518883, 'n': 1, 'trace_an': 4}
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id: 50292692
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