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mf_newforms • Show schema
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{'Nk2': 919, 'analytic_conductor': 0.4586407466097292, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 919, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [919, 2, [7], [1]], 'cm_discs': [-919], 'conrey_index': 918, 'dim': 9, 'field_disc': 16983563041, 'field_disc_factorization': [[19, 8]], 'field_poly': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 38, 'has_non_self_twist': 0, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68736254871, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 919, 2, -1, 2, -919]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '919.1.b.a', 'level': 919, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [919], 'level_radical': 919, 'minimal_twist': '919.1.b.a', 'nf_label': '9.9.16983563041.1', 'prim_orbit_index': 2, 'projective_field': [1, 37, -17, -77, 15, 183, -147, -63, 112, -29, 4, -23, -6, 51, -42, 9, -5, 10, -5, 1], 'projective_field_label': '19.1.467562425055097089773569879.1', 'projective_image': 'D19', 'projective_image_type': 'Dn', 'qexp_display': 'q+(-1+\\beta _{1}-\\beta _{2}+\\beta _{3}-\\beta _{4}+\\beta _{5}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'self_twist_discs': [-919], 'self_twist_type': 1, 'space_label': '919.1.b', 'trace_display': [-1, 0, -1, 0], 'trace_hash': 835859948404516059, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.133', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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'hecke_orbit_code': 68736254871, 'hecke_ring_character_values': [[7, [-1, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0], [0, 3, 0, 1, 0, 0, 0, 0, 0], [6, 0, 4, 0, 1, 0, 0, 0, 0], [0, 10, 0, 5, 0, 1, 0, 0, 0], [20, 0, 15, 0, 6, 0, 1, 0, 0], [0, 35, 0, 21, 0, 7, 0, 1, 0], [70, 0, 56, 0, 28, 0, 8, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0, 0, 0, 0], [0, -3, 0, 1, 0, 0, 0, 0, 0], [2, 0, -4, 0, 1, 0, 0, 0, 0], [0, 5, 0, -5, 0, 1, 0, 0, 0], [-2, 0, 9, 0, -6, 0, 1, 0, 0], [0, -7, 0, 14, 0, -7, 0, 1, 0], [2, 0, -16, 0, 20, 0, -8, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 9, 'label': '919.1.b.a', 'level': 919, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 919, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.4586407466097292, 'char_conductor': 919, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [919, 2, [7], [1]], 'conrey_index': 918, 'cusp_dim': 9, 'dihedral_dim': 9, 'dim': 9, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_orbit_code': 68736254871, 'hecke_orbit_dims': [9], 'label': '919.1.b', 'level': 919, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [919], 'level_radical': 919, 'mf_dim': 10, 'mf_new_dim': 10, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 9, 's4_dim': 0, 'sturm_bound': 76, 'trace_bound': 0, 'trace_display': [-1, 0, -1, 0], 'traces': [9, -1, 0, 8, -1, 0, 0, -2, 9, -2, -1, 0, -1, 0, 0, 7, -1, -1, 0, -3, 0, -2, -1, 0, 8, -2, 0, 0, -1, 0, 0, -3, 0, -2, 0, 8, 0, 0, 0, -4, 0, 0, 0, -3, -1, -2, -1, 0, 9, -3, 0, -3, 0, 0, -2, 0, 0, -2, -1, 0, -1, 0, 0, 6, -2, 0, -1, -3, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, -5, 9, 0, -1, 0, -2, 0, 0, -4, 0, -2, 0, -3, 0, -2, 0, 0, 0, -1, -1, 5, 0, 0, -1, -4, 0, 0, -1, 0, 0, -4, 0, 0, -1, 0, -2, -3, -1, -2, 0, 0, 8, -2, 0, 0, -2, 0, 0, -4, 0, -4, -1, 0, 0, -2, 0, -4, 0, 0, -1, 0, 0, -2, -2, 7, -2, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -6, 0, -1, 0, 0, 0, -2, 0, 0, 8, -4, 0, 0, -1, 0, 0, -5, 0, 0, -1, -3, -1, 0, 0, -4, 0, 0, -2, -3, 0, 0, -1, 0, -1, 0, 0, 8, 0, -2, 0, -6, 0, 0, 0, 0, 0, -2, -1, -5, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, -6, -2, 0, -1, 0, 8, -2, 0, 0, -1, 15, 0, 15, -1, -2, -2, 16, 0, 0, 0, 0, -1, 16, 0, -3, -1, 0, 0, 0, 0, 15, -1, 0, -2, 0, 0, 5, 0, 0, 0, 13, -1, -2, -1, 0, 0, 0, 0, -3, 0, 0, 0, 14, 0, 0, -3, 0, -1, -2, 0, 0, 0, 0, 0, -3, 0, 15, 0, -3, 8, -4, 0, 0, -1, 0, -2, 0, 0, -2, -2, 0, 0, 17, 0, 0, -2, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 12, 0, 0, 0, 8, -3, 0, 0, 0, 0, 0, -1, -3, 0, 0, -2, 0, 0, -3, 0, 13, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -6, -1, 0, -2, 0, 0, -2, -1, -4, 9, 17, 0, 0, 0, 0, -1, -5, 0, 0, 0, 0, 0, -4, 0, -4, -2, 0, -1, 0, 0, -2, 0, 0, 0, 17, 0, 0, -1, 0, -2, -2, 0, 0, 0, -3, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 16, 0, -2, -2, -6, 0, 0, 0, 0, -1, -2, -1, 0, -3, 0, 0, -3, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 11, 9, -4, -1, 0, 0, -2, 0, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0, -2, 0, -6, 0, 0, 0, -5, 0, -2, 0, -3, 0, 15, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 5, 0, 0, -1, -4, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, -6, 0, 17, 0, 0, 0, -4, 0, 0, -1, 0, 0, -5, 0, 0, -2, 0, -2, 0, 0, -8, -1, -2, 0, -3, 0, -2, 0, 0, 8, 0, -1, 0, 0, 0, -2, 15, 0, 0, -1, 0, 0, 0, 0, -6, 0, 0, 0, 0, -1, -6, 0, 0, 0, -2, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, -4, -1, 0, -1, 13, 0, 0, -3, 6, -1, -3, 0, -6, 0, 0, 0, 0, -2, -2, 0, 0, 0, -4, 0, 0, -1, 0, 0, -3, 0, -4, 0, 0, 0, 0, -1, -3, -3, 0, -1, 0, 0, 15, -2, -3, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -4, -1, -8, 0, 0, -1, 0, 0, 0, 0, -2, -2, 13, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, -2, 0, 0, -4, -2, 0, 0, 0, 0, 5, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, -7, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, -4, -3, 0, -2, 0, -5, 0, -1, 0, -3, -3, 0, -1, 0, 9, 0, 0, 0, 0, -2, 0, 13, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -6, 0, 0, 0, -5, 0, -4, -2, 0, 0, -2, 0, 0, -1, 0, 0, -3, -2, 0, -2, 0, -1, 0, 0, -3, -1, 0, 0, 0, 0, -2, 0, 0, -2, 15, 0, 7, 0, 0, -1, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, -2, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, -4, 0, 0, 0, -3, 0, 15, 0, -7, -1, 0, 0, 0, 0, 0, 0, 0, 8, -2, 0, -3, -3, -2, 0, 0, 0, -6, 0, 0, -1, 0, 0, -4, -1, 0, -1, 0, 0, 0, -1, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 9, -1, -1, 0, -6, 0, -2, 0, 0, 0, 0, -1, -3, 0, 0, -2, 0, 0, 0, 0, 5, 0, 0, 0, -4, -2, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0, -3, 0, 0, 9, 11, 0, 0, 17, 0, 0, 0, -1, 13, -1, 0, 0, 16, 0, 0, 15, -4, -1, 0, 0, -6, -1, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 17, 0, 0, 0, 0, 0, 9, 0, -1, -3, -2, 0, 0, 13, 0, 0, -1, 0, 0, -2, 0, -5, -1, 0, 0, -3, 0, 0, 18, 0, 0, 15, 0, 0, 0, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 11], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 571449
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 9, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '919.1.b.a', 'source_level': 919, 'target_char_orbit': 2, 'target_dim': 9, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '919.1.b.a', 'target_level': 919, 'twist_class_label': '919.1.b.a', 'twist_class_level': 919, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 571450
{'conductor': 919, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -919, 'source_char_orbit': 2, 'source_dim': 9, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '919.1.b.a', 'source_level': 919, 'target_char_orbit': 2, 'target_dim': 9, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '919.1.b.a', 'target_level': 919, 'twist_class_label': '919.1.b.a', 'twist_class_level': 919, 'twisting_char_label': '919.b', 'twisting_char_orbit': 2, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 1493725
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 2}
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id: 1493726
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 3}
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id: 1493727
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 5}
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id: 1493728
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 7}
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id: 1493729
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 11}
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id: 1493730
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 13}
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id: 1493731
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 17}
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id: 1493732
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 19}
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id: 1493733
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 23}
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id: 1493734
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 29}
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id: 1493735
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 31}
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id: 1493736
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 37}
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id: 1493737
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 41}
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id: 1493738
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 43}
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id: 1493739
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 47}
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id: 1493740
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 53}
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id: 1493741
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 59}
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id: 1493742
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 61}
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id: 1493743
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 67}
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id: 1493744
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 71}
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id: 1493745
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 73}
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id: 1493746
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 79}
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id: 1493747
{'charpoly_factorization': [[[1, 5, -10, -20, 15, 21, -7, -8, 1, 1], 1]], 'hecke_orbit_code': 68736254871, 'p': 83}
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id: 1493748
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 89}
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id: 1493749
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 68736254871, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '919.1.b.a', 'level': 919, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 16684000
{'hecke_orbit_code': 68736254871, 'n': 1, 'trace_an': 9}
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id: 16684001
{'hecke_orbit_code': 68736254871, 'n': 2, 'trace_an': -1}
-
id: 16684002
{'hecke_orbit_code': 68736254871, 'n': 3, 'trace_an': 0}
-
id: 16684003
{'hecke_orbit_code': 68736254871, 'n': 4, 'trace_an': 8}
-
id: 16684004
{'hecke_orbit_code': 68736254871, 'n': 5, 'trace_an': -1}
-
id: 16684005
{'hecke_orbit_code': 68736254871, 'n': 6, 'trace_an': 0}
-
id: 16684006
{'hecke_orbit_code': 68736254871, 'n': 7, 'trace_an': 0}
-
id: 16684007
{'hecke_orbit_code': 68736254871, 'n': 8, 'trace_an': -2}
-
id: 16684008
{'hecke_orbit_code': 68736254871, 'n': 9, 'trace_an': 9}
-
id: 16684009
{'hecke_orbit_code': 68736254871, 'n': 10, 'trace_an': -2}
-
id: 16684010
{'hecke_orbit_code': 68736254871, 'n': 11, 'trace_an': -1}
-
id: 16684011
{'hecke_orbit_code': 68736254871, 'n': 12, 'trace_an': 0}
-
id: 16684012
{'hecke_orbit_code': 68736254871, 'n': 13, 'trace_an': -1}
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id: 16684013
{'hecke_orbit_code': 68736254871, 'n': 14, 'trace_an': 0}
-
id: 16684014
{'hecke_orbit_code': 68736254871, 'n': 15, 'trace_an': 0}
-
id: 16684015
{'hecke_orbit_code': 68736254871, 'n': 16, 'trace_an': 7}
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id: 16684016
{'hecke_orbit_code': 68736254871, 'n': 17, 'trace_an': -1}
-
id: 16684017
{'hecke_orbit_code': 68736254871, 'n': 18, 'trace_an': -1}
-
id: 16684018
{'hecke_orbit_code': 68736254871, 'n': 19, 'trace_an': 0}
-
id: 16684019
{'hecke_orbit_code': 68736254871, 'n': 20, 'trace_an': -3}
-
id: 16684020
{'hecke_orbit_code': 68736254871, 'n': 21, 'trace_an': 0}
-
id: 16684021
{'hecke_orbit_code': 68736254871, 'n': 22, 'trace_an': -2}
-
id: 16684022
{'hecke_orbit_code': 68736254871, 'n': 23, 'trace_an': -1}
-
id: 16684023
{'hecke_orbit_code': 68736254871, 'n': 24, 'trace_an': 0}
-
id: 16684024
{'hecke_orbit_code': 68736254871, 'n': 25, 'trace_an': 8}
-
id: 16684025
{'hecke_orbit_code': 68736254871, 'n': 26, 'trace_an': -2}
-
id: 16684026
{'hecke_orbit_code': 68736254871, 'n': 27, 'trace_an': 0}
-
id: 16684027
{'hecke_orbit_code': 68736254871, 'n': 28, 'trace_an': 0}
-
id: 16684028
{'hecke_orbit_code': 68736254871, 'n': 29, 'trace_an': -1}
-
id: 16684029
{'hecke_orbit_code': 68736254871, 'n': 30, 'trace_an': 0}
-
id: 16684030
{'hecke_orbit_code': 68736254871, 'n': 31, 'trace_an': 0}
-
id: 16684031
{'hecke_orbit_code': 68736254871, 'n': 32, 'trace_an': -3}
-
id: 16684032
{'hecke_orbit_code': 68736254871, 'n': 33, 'trace_an': 0}
-
id: 16684033
{'hecke_orbit_code': 68736254871, 'n': 34, 'trace_an': -2}
-
id: 16684034
{'hecke_orbit_code': 68736254871, 'n': 35, 'trace_an': 0}
-
id: 16684035
{'hecke_orbit_code': 68736254871, 'n': 36, 'trace_an': 8}
-
id: 16684036
{'hecke_orbit_code': 68736254871, 'n': 37, 'trace_an': 0}
-
id: 16684037
{'hecke_orbit_code': 68736254871, 'n': 38, 'trace_an': 0}
-
id: 16684038
{'hecke_orbit_code': 68736254871, 'n': 39, 'trace_an': 0}
-
id: 16684039
{'hecke_orbit_code': 68736254871, 'n': 40, 'trace_an': -4}
-
id: 16684040
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