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mf_newforms • Show schema
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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 76, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [2736, 2, [1711, 2053, 1217, 1009], [1, 2, 2, 1]], 'cm_discs': [-3], 'conrey_index': 2431, 'conrey_indexes': [2431], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [7, [12, 0, 1]], [11, [0, 1]], [31, [4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511486110436016, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-5, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-5, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-14, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-16, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [10, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-24, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, -4], [0, 0], [4, 1], [0, 0], [0, 0], [-4, 0], [0, -4], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [-14, 0], [-16, 0], [0, 0], [10, 0], [4, 0], [0, 0], [0, 0], [0, -8], [0, 0], [-20, 0], [0, 0], [0, -12], [0, 0], [20, 0], [0, 0], [0, 0], [0, 10], [0, 0], [4, 0], [-14, 0], [0, -14], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, -16], [0, 0], [0, 2], [-16, 0], [28, 0], [0, 0], [-22, 0], [0, 0], [0, 0], [0, -16], [0, 0], [0, 0], [0, 0], [0, 0], [0, 10], [26, 0], [0, 0], [0, 6], [0, 0], [16, 0], [0, 0], [22, 0], [0, 0], [-32, 0], [0, 8], [0, 0], [14, 0], [0, 0], [0, 0], [0, -22], [0, -4], [-8, 0], [0, 0], [0, 0], [-34, 0], [0, 0], [0, -8], [0, 0], [0, 20], [0, 0], [0, 24], [28, 0], [0, 0], [0, 0], [10, 0], [0, 0], [0, -22], [0, 0], [0, 0], [44, 0], [0, 0], [0, 18], [0, 0], [0, 0], [0, 0], [8, 0], [46, 0], [40, 0], [0, 0], [0, 0], [0, 0], [0, -26], [46, 0], [0, 0], [0, 0], [0, 0], [0, 24], [20, 0], [10, 0], [0, 0], [0, -22], [0, 14], [0, 0], [0, -18], [0, 0], [0, 0], [0, 0], [0, -20], [0, -8], [0, 0], [0, 0], [0, 30], [0, 0], [22, 0], [0, 0], [0, 18], [-50, 0], [0, -30], [0, 0], [52, 0], [26, 0], [0, 0], [-2, 0], [0, 0], [56, 0], [0, 0], [0, 0], [-56, 0], [0, 0], [0, 14], [0, 0], [0, -20], [0, 0], [-58, 0], [0, 0], [0, 10], [0, 0], [0, 28], [0, 0], [0, 34], [0, 0], [-40, 0], [0, 0], [0, -18], [0, 0], [26, 0], [0, 0], [0, 0], [0, 0], [0, -34], [0, 0], [0, 0], [0, 0], [44, 0], [10, 0], [0, -8], [0, 0], [0, 0], [0, -36], [0, 0], [-58, 0], [-52, 0], [0, 0], [0, -6], [0, 0], [-28, 0], [62, 0], [0, -38], [0, 0], [0, -36], [0, 0], [0, 0], [0, 0], [0, 28], [32, 0], [0, -32], [0, 0], [0, -16], [0, 0], [64, 0], [0, 0], [0, 0], [0, 0], [2, 0], [-50, 0], [0, 0], [0, 0], [0, 0], [68, 0], [0, -4], [0, -40], [0, 0], [0, 0], [0, -38], [0, 0], [0, 0], [-56, 0], [46, 0], [0, 0], [0, -14], [0, 0], [0, 0], [0, -40], [0, 42], [0, 0], [0, 0], [0, 0], [0, -4], [-68, 0], [0, 0], [0, -42], [0, 0], [58, 0], [0, 0], [0, 0], [-76, 0], [0, 0], [2, 0], [-56, 0], [-76, 0], [0, 0], [0, -38], [0, 0], [34, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -26], [0, 34], [0, 28], [0, 0], [0, 0], [0, 38], [0, 0], [-32, 0], [0, 0], [50, 0], [0, 0], [0, 0], [0, -32], [0, 0], [0, 0], [-26, 0], [-80, 0], [0, 0], [70, 0], [-68, 0], [0, 0], [-74, 0], [0, 4], [0, 0], [-64, 0], [0, 0], [0, 0], [40, 0], [0, 0], [0, -44], [80, 0], [-10, 0], [0, 38], [0, 48], [0, 46], [0, 0], [0, -12], [0, 24], [0, 0], [0, 0], [0, 30], [0, 0], [0, -4], [0, 38], [0, 0], [-82, 0], [0, 0], [0, -50], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -36], [0, 0], [76, 0], [0, 0], [0, 0], [0, -46], [70, 0], [0, 0], [0, 42]], 'char_orbit_index': 11, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 13511486110436016, 'hecke_ring_character_values': [[1711, [-1, 0]], [2053, [1, 0]], [1217, [1, 0]], [1009, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '2736.2.k.d', 'level': 2736, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'char_conductor': 76, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [2736, 2, [1711, 2053, 1217, 1009], [1, 2, 2, 1]], 'conrey_index': 2431, 'cusp_dim': 456, 'dim': 50, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 31], 'hecke_orbit_code': 687228324528, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 8], 'label': '2736.2.k', 'level': 2736, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 504, 'mf_new_dim': 50, 'num_forms': 16, 'prim_orbit_index': 4, 'relative_dim': 50, 'sturm_bound': 960, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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-672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 348, 0, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 632, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 991854
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '2736.2.k.d', 'source_level': 2736, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2736.2.k.c', 'target_level': 2736, 'twist_class_label': '2736.2.k.c', 'twist_class_level': 2736, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 991855
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '2736.2.k.d', 'source_level': 2736, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2736.2.k.c', 'target_level': 2736, 'twist_class_label': '2736.2.k.c', 'twist_class_level': 2736, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 991856
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '2736.2.k.d', 'source_level': 2736, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2736.2.k.c', 'target_level': 2736, 'twist_class_label': '2736.2.k.c', 'twist_class_level': 2736, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 991857
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '2736.2.k.d', 'source_level': 2736, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2736.2.k.c', 'target_level': 2736, 'twist_class_label': '2736.2.k.c', 'twist_class_level': 2736, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 991858
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '2736.2.k.d', 'source_level': 2736, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2736.2.k.d', 'target_level': 2736, 'twist_class_label': '2736.2.k.c', 'twist_class_level': 2736, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 991859
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '2736.2.k.d', 'source_level': 2736, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2736.2.k.d', 'target_level': 2736, 'twist_class_label': '2736.2.k.c', 'twist_class_level': 2736, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 991860
{'conductor': 76, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '2736.2.k.d', 'source_level': 2736, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2736.2.k.d', 'target_level': 2736, 'twist_class_label': '2736.2.k.c', 'twist_class_level': 2736, 'twisting_char_label': '76.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 991861
{'conductor': 228, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '2736.2.k.d', 'source_level': 2736, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2736.2.k.d', 'target_level': 2736, 'twist_class_label': '2736.2.k.c', 'twist_class_level': 2736, 'twisting_char_label': '228.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2823450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 2}
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id: 2823451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 3}
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id: 2823452
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 5}
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id: 2823453
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 13511486110436016, 'p': 7}
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id: 2823454
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 11}
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id: 2823455
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 13511486110436016, 'p': 13}
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id: 2823456
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 17}
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id: 2823457
{'charpoly_factorization': [[[19, -8, 1], 1]], 'hecke_orbit_code': 13511486110436016, 'p': 19}
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id: 2823458
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 23}
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id: 2823459
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 29}
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id: 2823460
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 31}
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id: 2823461
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 13511486110436016, 'p': 37}
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id: 2823462
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 41}
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id: 2823463
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 13511486110436016, 'p': 43}
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id: 2823464
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 47}
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id: 2823465
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 53}
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id: 2823466
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 59}
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id: 2823467
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 61}
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id: 2823468
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 67}
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id: 2823469
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 71}
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id: 2823470
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 73}
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id: 2823471
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 79}
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id: 2823472
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 83}
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id: 2823473
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511486110436016, 'p': 89}
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id: 2823474
{'charpoly_factorization': [[[192, 0, 1], 1]], 'hecke_orbit_code': 13511486110436016, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 4, 'label': '2736.2.k.d', 'level': 2736, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 143943000
{'hecke_orbit_code': 13511486110436016, 'n': 1, 'trace_an': 2}
-
id: 143943001
{'hecke_orbit_code': 13511486110436016, 'n': 2, 'trace_an': 0}
-
id: 143943002
{'hecke_orbit_code': 13511486110436016, 'n': 3, 'trace_an': 0}
-
id: 143943003
{'hecke_orbit_code': 13511486110436016, 'n': 4, 'trace_an': 0}
-
id: 143943004
{'hecke_orbit_code': 13511486110436016, 'n': 5, 'trace_an': 0}
-
id: 143943005
{'hecke_orbit_code': 13511486110436016, 'n': 6, 'trace_an': 0}
-
id: 143943006
{'hecke_orbit_code': 13511486110436016, 'n': 7, 'trace_an': 0}
-
id: 143943007
{'hecke_orbit_code': 13511486110436016, 'n': 8, 'trace_an': 0}
-
id: 143943008
{'hecke_orbit_code': 13511486110436016, 'n': 9, 'trace_an': 0}
-
id: 143943009
{'hecke_orbit_code': 13511486110436016, 'n': 10, 'trace_an': 0}
-
id: 143943010
{'hecke_orbit_code': 13511486110436016, 'n': 11, 'trace_an': 0}
-
id: 143943011
{'hecke_orbit_code': 13511486110436016, 'n': 12, 'trace_an': 0}
-
id: 143943012
{'hecke_orbit_code': 13511486110436016, 'n': 13, 'trace_an': 0}
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id: 143943013
{'hecke_orbit_code': 13511486110436016, 'n': 14, 'trace_an': 0}
-
id: 143943014
{'hecke_orbit_code': 13511486110436016, 'n': 15, 'trace_an': 0}
-
id: 143943015
{'hecke_orbit_code': 13511486110436016, 'n': 16, 'trace_an': 0}
-
id: 143943016
{'hecke_orbit_code': 13511486110436016, 'n': 17, 'trace_an': 0}
-
id: 143943017
{'hecke_orbit_code': 13511486110436016, 'n': 18, 'trace_an': 0}
-
id: 143943018
{'hecke_orbit_code': 13511486110436016, 'n': 19, 'trace_an': 8}
-
id: 143943019
{'hecke_orbit_code': 13511486110436016, 'n': 20, 'trace_an': 0}
-
id: 143943020
{'hecke_orbit_code': 13511486110436016, 'n': 21, 'trace_an': 0}
-
id: 143943021
{'hecke_orbit_code': 13511486110436016, 'n': 22, 'trace_an': 0}
-
id: 143943022
{'hecke_orbit_code': 13511486110436016, 'n': 23, 'trace_an': 0}
-
id: 143943023
{'hecke_orbit_code': 13511486110436016, 'n': 24, 'trace_an': 0}
-
id: 143943024
{'hecke_orbit_code': 13511486110436016, 'n': 25, 'trace_an': -10}
-
id: 143943025
{'hecke_orbit_code': 13511486110436016, 'n': 26, 'trace_an': 0}
-
id: 143943026
{'hecke_orbit_code': 13511486110436016, 'n': 27, 'trace_an': 0}
-
id: 143943027
{'hecke_orbit_code': 13511486110436016, 'n': 28, 'trace_an': 0}
-
id: 143943028
{'hecke_orbit_code': 13511486110436016, 'n': 29, 'trace_an': 0}
-
id: 143943029
{'hecke_orbit_code': 13511486110436016, 'n': 30, 'trace_an': 0}
-
id: 143943030
{'hecke_orbit_code': 13511486110436016, 'n': 31, 'trace_an': -8}
-
id: 143943031
{'hecke_orbit_code': 13511486110436016, 'n': 32, 'trace_an': 0}
-
id: 143943032
{'hecke_orbit_code': 13511486110436016, 'n': 33, 'trace_an': 0}
-
id: 143943033
{'hecke_orbit_code': 13511486110436016, 'n': 34, 'trace_an': 0}
-
id: 143943034
{'hecke_orbit_code': 13511486110436016, 'n': 35, 'trace_an': 0}
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