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mf_newforms • Show schema
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{'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 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': [475, 1, [77, 401], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 11344, 'field_disc_factorization': [[2, 4], [709, 1]], 'field_poly': [3, 4, -4, -2, 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, [9, 8, -6, -2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052518875, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '475.2.a.i', 'level': 475, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '95.2.a.b', 'nf_label': '4.4.11344.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+\\beta _{3}q^{3}+(1+\\beta _{1}-\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '475.2.a', 'trace_display': [2, -2, 0, -4], 'trace_hash': 1894815177355496109, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.668', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.960', 'prec': 17}, {'__RealLiteral__': 0, 'data': '38.564', 'prec': 20}, {'__RealLiteral__': 0, 'data': '31.163', 'prec': 20}, {'__RealLiteral__': 0, 'data': '625.926', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [4, 2, -2, 8, 0, 0, -4, 12, 8, 0, 4, -6, -2, -8, 0, 4, -4, 34, 4, 0, -4, -4, 8, -24, 0, 4, 4, 8, 4, 0, 4, 6, -8, -4, 0, 40, 6, 2, -12, 0, 16, -28, -4, 24, 0, 0, 12, -38, 20, 0, -36, -18, 10, -20, 0, -12, -2, 4, 0, 0, 20, -20, -20, -4, 0, -28, 18, -4, 28, 0, -20, 52, -28, 32, 0, 8, 40, -12, -16, 0, 16, -16, 0, -44, 0, -8, 36, 12, 4, 0, -36, 28, 40, -48, 0, -52, -30, -38, -4, 0, 12, -80, -6, 12, 0, -24, -10, -36, 4, 0, -20, -4, 10, 0, 0, 4, 6, -36, 16, 0, 4, 28, -4, -36, 0, -8, 22, 0, -4, 0, 8, -56, -4, 36, 0, 24, 4, 52, 4, 0, -4, 28, -40, 64, 0, -12, -2, 38, 12, 0, 4, 12, -12, -40, 0, -8, -28, -44, 12, 0, 24, 26, -28, -8, 0, -8, 26, -4, 0, 0, 8, 8, 18, 80, 0, 4, -8, 60, 24, 0, 0, 68, -20, -12, 0, 128, 8, -40, -48, 0, 0, -70, 26, -32, 0, -40, 32, 60, 8, 0, 44, 44, -16, -116, 0, -28, 8, 34, 4, 0, -20, -6, 56, -92, 0, -52, -48, 16, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1], [1, 1, -1, 0], [0, 0, 0, 0], [2, -1, 1, 2], [-2, 2, 0, 0], [2, 0, -1, -1], [1, 0, -2, 0], [0, 0, 0, 0], [0, 2, 0, 0], [2, -2, 2, 3], [0, -2, 0, -1], [-2, -2, 0, -2], [0, 0, 0, 0], [-1, 0, -2, -2], [-2, 0, 0, -2], [6, 2, -3, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, -2, 2, -2], [-2, -2, -2, -2], [2, 2, 0, 2], [-2, -1, 3, 4], [0, 0, 0, 0], [0, 3, 1, 0], [4, -2, 2, 2], [2, 0, 2, -2], [2, 0, 0, 2], [0, 0, 0, 0], [4, -2, 2, 2], [-2, 4, -1, -2], [0, -2, 2, 0], [-4, 2, 0, -4], [0, 0, 0, 0], [5, 1, -7, -2], [0, 0, -2, -1], [0, 0, -1, 0], [-4, 2, 0, 0], [0, 0, 0, 0], [6, -2, 2, 0], [-8, 2, 2, -2], [-2, 2, 0, 0], [4, 2, 0, -2], [0, 0, 0, 0], [2, -4, -2, 2], [6, -2, 4, 0], [-4, -2, 6, 3], [9, -4, 4, 0], [0, 0, 0, 0], [-8, 0, 4, -2], [-6, 0, -2, -1], [4, 0, 2, 1], [0, -2, 2, 6], [0, 0, 0, 0], [-6, 4, -2, 0], [0, 0, 0, 1], [4, -2, 0, 4], [0, 2, 2, 0], [0, 0, 0, 0], [2, 4, -2, 0], [0, -2, 2, 6], [-6, -2, 0, -4], [-3, -1, -1, -4], [0, 0, 0, 0], [-4, 0, 4, 2], [4, 2, -2, 3], [-6, 2, -2, -6], [8, -2, -2, 2], [0, 0, 0, 0], [-4, -2, -2, 2], [4, 4, -9, -5], [-6, 0, 0, 2], [4, 3, -3, -2], [0, 0, 0, 0], [1, 1, -1, 0], [12, 0, 4, 0], [-2, -2, 2, -2], [-4, 2, 2, 0], [0, 0, 0, 0], [1, 4, -2, 0], [-4, 0, -2, 2], [-2, 2, 0, -2], [-12, 2, 2, -2], [0, 0, 0, 0], [-2, -2, 0, -2], [8, 0, -4, 2], [-2, 4, -4, -2], [-2, 0, -4, -2], [0, 0, 0, 0], [-12, 2, -6, 2], [10, 0, 2, 4], [4, 4, -8, 0], [-10, -2, 0, 2], [0, 0, 0, 0], [-6, -5, 9, 0], [-4, -4, 2, 1], [-8, 0, -1, 4], [-4, -2, -4, -4], [0, 0, 0, 0]], 'ap': [[0, 0, -1, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-2, 2, 0, 0], [0, 2, 0, 0], [0, -2, 0, -1], [-2, 0, 0, -2], [1, 0, 0, 0], [2, 2, 0, 2], [2, 0, 0, 2], [4, -2, 2, 2], [0, 0, -2, -1], [6, -2, 2, 0], [-2, 2, 0, 0], [6, -2, 4, 0], [4, 0, 2, 1], [0, 2, 2, 0], [2, 4, -2, 0], [4, 2, -2, 3], [-4, -2, -2, 2], [-6, 0, 0, 2], [-4, 2, 2, 0], [-2, 2, 0, -2], [-2, 0, -4, -2], [-4, -4, 2, 1], [2, -4, -2, -4], [0, -2, 2, -1], [0, -2, 6, -3], [-2, 6, -2, 2], [4, -2, 0, 1], [4, 0, 0, -3], [4, 0, 0, 4], [-2, 0, -4, -2], [4, -6, 4, -4], [2, 0, 2, -4], [0, -4, -4, -2], [-10, 0, -4, -2], [-2, -6, 4, 0], [8, -4, 0, -1], [4, 2, 0, 1], [8, -6, 2, -4], [-2, -4, -4, -4], [-4, 4, 0, -4], [12, 0, 6, 5], [10, 0, 0, 4], [0, 8, 0, 4], [-4, 4, 0, 6], [4, 0, 0, 3], [-8, 2, -6, 1], [2, -4, 2, 0], [2, 0, 0, -4], [12, -4, 8, 0], [6, -6, -2, -8], [0, -4, 8, 0], [0, -4, -2, 3], [2, 2, -4, 2], [6, -2, 6, 6], [4, -2, -4, -4], [-2, -8, 4, -6], [-2, -6, -6, 4], [-2, -6, -4, -6], [4, -8, -6, 1], [16, -2, 6, -3], [4, -6, 0, -8], [-14, 4, 4, 0], [24, -6, 4, 3], [-4, 0, 4, 6], [-12, -2, -8, 5], [-18, 6, -4, -6], [-14, -4, -4, -4], [6, 4, -4, 6], [-8, -2, -8, 4], [-14, -2, 8, 0], [12, -12, -2, 5], [-4, 4, 4, 0], [20, 2, 2, 5], [6, -12, -4, 0], [2, 12, 0, -2], [10, 8, -4, 4], [-14, -2, -6, 2], [24, 0, 4, 0], [2, -2, 2, 0], [-8, 16, -4, -2], [-20, 10, -4, -3], [-20, 6, -6, -4], [2, 10, -8, 2], [2, -6, -2, -10], [-2, -4, 4, 0], [-2, 0, 0, -8], [-14, 2, 0, -6], [-2, -2, 4, -2], [-16, 2, -4, -4], [12, -2, -10, -1], [-8, 8, -12, 4], [-4, 6, 12, 0], [-6, -2, -12, -6], [10, -4, 4, -2], [10, -8, 0, -8], [4, -4, 8, -9], [-14, 4, 2, -4], [4, 8, 4, -3], [14, 4, -8, 2], [-4, 12, 0, -1], [18, -18, 6, 6], [0, -10, -4, -8], [-22, 8, 0, 4], [10, -10, 8, -2], [14, -12, -4, -4], [20, -2, 2, -4], [22, 10, -2, 8], [4, 2, 2, 3], [2, 0, 8, -2], [-6, -4, -4, 6], [4, 2, -4, -4], [-20, 2, 0, -4], [14, -10, 10, -4], [-14, 2, -4, -6], [10, -2, -4, 10], [-14, 20, -4, -2], [-8, 2, -10, -8], [-22, 18, 6, 0], [0, 10, -8, 11], [-28, 4, -2, 5], [12, -8, -4, -9], [0, -6, 0, 4], [26, 0, 6, 8], [18, -12, 12, 4], [0, -14, 0, 0], [34, -10, 0, 0], [-14, 4, 0, -12], [-4, -8, 0, 0], [16, -8, 20, 1], [16, 8, 4, 2], [2, 0, 0, 16], [-18, 0, -6, 12], [-2, -8, 2, -4], [8, -6, 4, -1], [12, -8, -4, -7], [12, 4, 6, -3], [-18, 12, 4, 0], [-24, 2, -2, -2], [30, 8, 0, 0], [6, -2, 4, -4], [0, 24, -8, 3], [14, 6, 6, -6], [-20, -6, 2, -8], [6, -4, 0, -4], [-16, 0, -6, -1], [0, 8, 4, -8], [0, -8, 12, -3], [4, 16, -6, -3], [-26, 4, -14, -8], [2, -2, -16, 4], [-32, 14, 10, 1], [16, 2, 2, 9], [-16, 16, -12, 2], [28, 0, 4, -4], [6, 8, -16, 0], [2, -12, -4, -2], [6, -4, 4, 0], [14, -6, 12, 2], [-16, 8, -6, -1], [-22, -6, -12, -14], [8, -10, -2, 2], [8, 10, 0, -1], [4, -6, -6, -11], [-8, 16, -8, 2], [22, -16, 0, 6]], 'char_orbit_index': 1, 'field_poly': [3, 4, -4, -2, 1], 'hecke_orbit_code': 36028797052518875, '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, 1, 1, 0], [4, 5, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -1, 1, 0], [2, -3, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '475.2.a.i', 'level': 475, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [19, -1]], 5, 3], [[[5, -1], [19, 1]], 9, 2], [[[5, 1], [19, 1]], 6, 2], [[[5, 1], [19, -1]], 8, 3]], 'ALdims': [6, 8, 9, 5], 'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, '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': [475, 1, [77, 401], [1, 1]], 'conrey_index': 1, 'cusp_dim': 45, 'dim': 28, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554907, 'hecke_orbit_dims': [1, 1, 1, 3, 3, 3, 3, 3, 4, 6], 'label': '475.2.a', 'level': 475, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'mf_dim': 56, 'mf_new_dim': 28, 'num_forms': 10, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 100, 'trace_bound': 2, 'trace_display': [1, -2, 0, -3], 'traces': [28, 1, -2, 29, 0, 0, -3, 9, 16, 0, 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-24, 12, 0, 160, 56, 78, -6, 0, 238, -36, 56, 97, 0, 8, 44, -202, -134, 0, -228, -60, -67, 14, 0, -336, -56, -13, -184, 0, -374, 58, 120, 176, 0, -142, 92, 24, 172, 0, -144, 54, -22, -244, 0, 86, -120, 80, 188, 0, 140, -35, -228, -236, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 341823
{'conductor': 5, '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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '95.2.a.b', 'target_level': 95, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 341824
{'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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '475.2.a.i', 'target_level': 475, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 341825
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '475.2.b.e', 'target_level': 475, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 341826
{'conductor': 15, '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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '855.2.a.m', 'target_level': 855, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 341827
{'conductor': 20, '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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1520.2.a.t', 'target_level': 1520, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 341828
{'conductor': 95, '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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1805.2.a.p', 'target_level': 1805, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '95.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 341829
{'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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '4275.2.a.bo', 'target_level': 4275, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 341830
{'conductor': 35, '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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '4655.2.a.y', 'target_level': 4655, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 341831
{'conductor': 40, '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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '6080.2.a.cc', 'target_level': 6080, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 341832
{'conductor': 40, '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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 60, 'target_is_minimal': False, 'target_label': '6080.2.a.ch', 'target_level': 6080, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 341833
{'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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '7600.2.a.cf', 'target_level': 7600, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 341834
{'conductor': 19, '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': False, 'source_label': '475.2.a.i', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9025.2.a.bf', 'target_level': 9025, 'twist_class_label': '95.2.a.b', 'twist_class_level': 95, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 940825
{'charpoly_factorization': [[[9, 8, -6, -2, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 2}
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id: 940826
{'charpoly_factorization': [[[-4, -16, -8, 2, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 3}
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id: 940827
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36028797052518875, 'p': 5}
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id: 940828
{'charpoly_factorization': [[[32, -48, -16, 4, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 7}
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id: 940829
{'charpoly_factorization': [[[48, 32, -16, -4, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 11}
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id: 940830
{'charpoly_factorization': [[[20, -32, -24, 2, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 13}
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id: 940831
{'charpoly_factorization': [[[48, -16, -32, 4, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 17}
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id: 940832
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 36028797052518875, 'p': 19}
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id: 940833
{'charpoly_factorization': [[[288, 176, -24, -8, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 23}
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id: 940834
{'charpoly_factorization': [[[48, 16, -32, -4, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 29}
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id: 940835
{'charpoly_factorization': [[[-640, 512, -80, -4, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 31}
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id: 940836
{'charpoly_factorization': [[[4, 40, -24, -6, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 37}
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id: 940837
{'charpoly_factorization': [[[-240, 32, 56, -16, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 41}
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id: 940838
{'charpoly_factorization': [[[32, -48, -16, 4, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 43}
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id: 940839
{'charpoly_factorization': [[[1056, 656, -64, -12, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 47}
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id: 940840
{'charpoly_factorization': [[[-348, 184, 0, -10, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 53}
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id: 940841
{'charpoly_factorization': [[[-192, -224, -64, 0, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 59}
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id: 940842
{'charpoly_factorization': [[[-2656, 688, 56, -20, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 61}
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id: 940843
{'charpoly_factorization': [[[-1076, 488, 8, -18, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 67}
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id: 940844
{'charpoly_factorization': [[[-4224, -1024, 32, 20, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 71}
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id: 940845
{'charpoly_factorization': [[[176, 784, 256, 28, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 73}
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id: 940846
{'charpoly_factorization': [[[-1856, -480, 32, 16, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 79}
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id: 940847
{'charpoly_factorization': [[[480, 112, -72, 0, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 83}
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id: 940848
{'charpoly_factorization': [[[240, -176, -144, -4, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 89}
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id: 940849
{'charpoly_factorization': [[[-1388, 8, 224, 30, 1], 1]], 'hecke_orbit_code': 36028797052518875, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '475.2.a.i', 'level': 475, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 194929000
{'hecke_orbit_code': 36028797052518875, 'n': 1, 'trace_an': 4}
-
id: 194929001
{'hecke_orbit_code': 36028797052518875, 'n': 2, 'trace_an': 2}
-
id: 194929002
{'hecke_orbit_code': 36028797052518875, 'n': 3, 'trace_an': -2}
-
id: 194929003
{'hecke_orbit_code': 36028797052518875, 'n': 4, 'trace_an': 8}
-
id: 194929004
{'hecke_orbit_code': 36028797052518875, 'n': 5, 'trace_an': 0}
-
id: 194929005
{'hecke_orbit_code': 36028797052518875, 'n': 6, 'trace_an': 0}
-
id: 194929006
{'hecke_orbit_code': 36028797052518875, 'n': 7, 'trace_an': -4}
-
id: 194929007
{'hecke_orbit_code': 36028797052518875, 'n': 8, 'trace_an': 12}
-
id: 194929008
{'hecke_orbit_code': 36028797052518875, 'n': 9, 'trace_an': 8}
-
id: 194929009
{'hecke_orbit_code': 36028797052518875, 'n': 10, 'trace_an': 0}
-
id: 194929010
{'hecke_orbit_code': 36028797052518875, 'n': 11, 'trace_an': 4}
-
id: 194929011
{'hecke_orbit_code': 36028797052518875, 'n': 12, 'trace_an': -6}
-
id: 194929012
{'hecke_orbit_code': 36028797052518875, 'n': 13, 'trace_an': -2}
-
id: 194929013
{'hecke_orbit_code': 36028797052518875, 'n': 14, 'trace_an': -8}
-
id: 194929014
{'hecke_orbit_code': 36028797052518875, 'n': 15, 'trace_an': 0}
-
id: 194929015
{'hecke_orbit_code': 36028797052518875, 'n': 16, 'trace_an': 4}
-
id: 194929016
{'hecke_orbit_code': 36028797052518875, 'n': 17, 'trace_an': -4}
-
id: 194929017
{'hecke_orbit_code': 36028797052518875, 'n': 18, 'trace_an': 34}
-
id: 194929018
{'hecke_orbit_code': 36028797052518875, 'n': 19, 'trace_an': 4}
-
id: 194929019
{'hecke_orbit_code': 36028797052518875, 'n': 20, 'trace_an': 0}
-
id: 194929020
{'hecke_orbit_code': 36028797052518875, 'n': 21, 'trace_an': -4}
-
id: 194929021
{'hecke_orbit_code': 36028797052518875, 'n': 22, 'trace_an': -4}
-
id: 194929022
{'hecke_orbit_code': 36028797052518875, 'n': 23, 'trace_an': 8}
-
id: 194929023
{'hecke_orbit_code': 36028797052518875, 'n': 24, 'trace_an': -24}
-
id: 194929024
{'hecke_orbit_code': 36028797052518875, 'n': 25, 'trace_an': 0}
-
id: 194929025
{'hecke_orbit_code': 36028797052518875, 'n': 26, 'trace_an': 4}
-
id: 194929026
{'hecke_orbit_code': 36028797052518875, 'n': 27, 'trace_an': 4}
-
id: 194929027
{'hecke_orbit_code': 36028797052518875, 'n': 28, 'trace_an': 8}
-
id: 194929028
{'hecke_orbit_code': 36028797052518875, 'n': 29, 'trace_an': 4}
-
id: 194929029
{'hecke_orbit_code': 36028797052518875, 'n': 30, 'trace_an': 0}
-
id: 194929030
{'hecke_orbit_code': 36028797052518875, 'n': 31, 'trace_an': 4}
-
id: 194929031
{'hecke_orbit_code': 36028797052518875, 'n': 32, 'trace_an': 6}
-
id: 194929032
{'hecke_orbit_code': 36028797052518875, 'n': 33, 'trace_an': -8}
-
id: 194929033
{'hecke_orbit_code': 36028797052518875, 'n': 34, 'trace_an': -4}
-
id: 194929034
{'hecke_orbit_code': 36028797052518875, 'n': 35, 'trace_an': 0}
-
id: 194929035
{'hecke_orbit_code': 36028797052518875, 'n': 36, 'trace_an': 40}
-
id: 194929036
{'hecke_orbit_code': 36028797052518875, 'n': 37, 'trace_an': 6}
-
id: 194929037
{'hecke_orbit_code': 36028797052518875, 'n': 38, 'trace_an': 2}
-
id: 194929038
{'hecke_orbit_code': 36028797052518875, 'n': 39, 'trace_an': -12}
-
id: 194929039
{'hecke_orbit_code': 36028797052518875, 'n': 40, 'trace_an': 0}
-
id: 194929040
{'hecke_orbit_code': 36028797052518875, 'n': 41, 'trace_an': 16}
-
id: 194929041
{'hecke_orbit_code': 36028797052518875, 'n': 42, 'trace_an': -28}
-
id: 194929042
{'hecke_orbit_code': 36028797052518875, 'n': 43, 'trace_an': -4}
-
id: 194929043
{'hecke_orbit_code': 36028797052518875, 'n': 44, 'trace_an': 24}
-
id: 194929044
{'hecke_orbit_code': 36028797052518875, 'n': 45, 'trace_an': 0}
-
id: 194929045
{'hecke_orbit_code': 36028797052518875, 'n': 46, 'trace_an': 0}
-
id: 194929046
{'hecke_orbit_code': 36028797052518875, 'n': 47, 'trace_an': 12}
-
id: 194929047
{'hecke_orbit_code': 36028797052518875, 'n': 48, 'trace_an': -38}
-
id: 194929048
{'hecke_orbit_code': 36028797052518875, 'n': 49, 'trace_an': 20}
-
id: 194929049
{'hecke_orbit_code': 36028797052518875, 'n': 50, 'trace_an': 0}
-
id: 194929050
{'hecke_orbit_code': 36028797052518875, 'n': 51, 'trace_an': -36}
-
id: 194929051
{'hecke_orbit_code': 36028797052518875, 'n': 52, 'trace_an': -18}
-
id: 194929052
{'hecke_orbit_code': 36028797052518875, 'n': 53, 'trace_an': 10}
-
id: 194929053
{'hecke_orbit_code': 36028797052518875, 'n': 54, 'trace_an': -20}
-
id: 194929054
{'hecke_orbit_code': 36028797052518875, 'n': 55, 'trace_an': 0}
-
id: 194929055
{'hecke_orbit_code': 36028797052518875, 'n': 56, 'trace_an': -12}
-
id: 194929056
{'hecke_orbit_code': 36028797052518875, 'n': 57, 'trace_an': -2}
-
id: 194929057
{'hecke_orbit_code': 36028797052518875, 'n': 58, 'trace_an': 4}
-
id: 194929058
{'hecke_orbit_code': 36028797052518875, 'n': 59, 'trace_an': 0}
-
id: 194929059
{'hecke_orbit_code': 36028797052518875, 'n': 60, 'trace_an': 0}
-
id: 194929060
{'hecke_orbit_code': 36028797052518875, 'n': 61, 'trace_an': 20}
-
id: 194929061
{'hecke_orbit_code': 36028797052518875, 'n': 62, 'trace_an': -20}
-
id: 194929062
{'hecke_orbit_code': 36028797052518875, 'n': 63, 'trace_an': -20}
-
id: 194929063
{'hecke_orbit_code': 36028797052518875, 'n': 64, 'trace_an': -4}
-
id: 194929064
{'hecke_orbit_code': 36028797052518875, 'n': 65, 'trace_an': 0}
-
id: 194929065
{'hecke_orbit_code': 36028797052518875, 'n': 66, 'trace_an': -28}
-
id: 194929066
{'hecke_orbit_code': 36028797052518875, 'n': 67, 'trace_an': 18}
-
id: 194929067
{'hecke_orbit_code': 36028797052518875, 'n': 68, 'trace_an': -4}
-
id: 194929068
{'hecke_orbit_code': 36028797052518875, 'n': 69, 'trace_an': 28}
-
id: 194929069
{'hecke_orbit_code': 36028797052518875, 'n': 70, 'trace_an': 0}
-
id: 194929070
{'hecke_orbit_code': 36028797052518875, 'n': 71, 'trace_an': -20}
-
id: 194929071
{'hecke_orbit_code': 36028797052518875, 'n': 72, 'trace_an': 52}
-
id: 194929072
{'hecke_orbit_code': 36028797052518875, 'n': 73, 'trace_an': -28}
-
id: 194929073
{'hecke_orbit_code': 36028797052518875, 'n': 74, 'trace_an': 32}
-
id: 194929074
{'hecke_orbit_code': 36028797052518875, 'n': 75, 'trace_an': 0}
-
id: 194929075
{'hecke_orbit_code': 36028797052518875, 'n': 76, 'trace_an': 8}
-
id: 194929076
{'hecke_orbit_code': 36028797052518875, 'n': 77, 'trace_an': 40}
-
id: 194929077
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