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mf_newforms • Show schema
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{'Nk2': 167, 'analytic_conductor': 0.0833438571097114, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 167, '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': [167, 2, [5], [1]], 'cm_discs': [-167], 'conrey_index': 166, 'dim': 5, 'field_disc': 14641, 'field_disc_factorization': [[11, 4]], 'field_poly': [-1, 3, 3, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 0, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68736254119, '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, 167, 2, -1, 2, -167]], 'is_cm': True, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '167.1.b.a', 'level': 167, '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': [167], 'level_radical': 167, 'minimal_twist': '167.1.b.a', 'nf_label': '5.5.14641.1', 'prim_orbit_index': 2, 'projective_field': [1, 2, -4, 9, -7, 11, -6, 10, -4, 5, -1, 1], 'projective_field_label': '11.1.129891985607.1', 'projective_image': 'D11', 'projective_image_type': 'Dn', 'qexp_display': 'q+\\beta _{4}q^{2}+(-1+\\beta _{1}-\\beta _{2}+\\beta _{3}-\\beta _{4})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'self_twist_discs': [-167], 'self_twist_type': 1, 'space_label': '167.1.b', 'trace_display': [-1, -1, 0, -1], 'trace_hash': 1545373863487011043, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.067', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.269', 'prec': 17}, 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mf_hecke_nf • Show schema
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0, 0], [2, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-1, 1, -1, 1, -1]], 'char_orbit_index': 2, 'field_poly': [-1, 3, 3, -4, -1, 1], 'hecke_orbit_code': 68736254119, 'hecke_ring_character_values': [[5, [-1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 0, 1, 0, 0], [0, 3, 0, 1, 0], [6, 0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-2, 0, 1, 0, 0], [0, -3, 0, 1, 0], [2, 0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '167.1.b.a', 'level': 167, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 167, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.0833438571097114, 'char_conductor': 167, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [167, 2, [5], [1]], 'conrey_index': 166, 'cusp_dim': 5, 'dihedral_dim': 5, 'dim': 5, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_orbit_code': 68736254119, 'hecke_orbit_dims': [5], 'label': '167.1.b', 'level': 167, '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': [167], 'level_radical': 167, 'mf_dim': 6, 'mf_new_dim': 6, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 5, 's4_dim': 0, 'sturm_bound': 14, 'trace_bound': 0, 'trace_display': [-1, -1, 0, -1], 'traces': [5, -1, -1, 4, 0, -2, -1, -2, 4, 0, -1, -3, 0, -2, 0, 3, 0, -3, -1, 0, -2, -2, 0, -4, 5, 0, -2, -3, -1, 0, -1, -3, -2, 0, 0, 1, 0, -2, 0, 0, 0, 7, 0, 8, 0, 0, -1, 6, 4, -1, 0, 0, 0, 7, 0, -4, -2, -2, 0, 0, -1, 9, -3, 2, 0, -4, 0, 0, 0, 0, 0, 5, 0, 0, -1, -3, -2, 0, 0, 0, 3, 0, 0, 5, 0, 0, -2, -4, -1, 0, 0, 0, -2, -2, 0, -6, -1, 8, -3, 4, 0, 0, 0, 0, 0, 0, -1, -6, 0, 0, 0, -5, 0, 7, 0, -3, 0, 0, 0, 0, 4, -2, 0, -3, 0, -6, -1, -4, 0, 0, 0, 5, -2, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -2, 0, 0, -3, 0, 0, -2, 0, 7, 0, -4, 0, 0, -1, 0, 0, 0, 0, -5, 0, 0, 0, 0, 5, 3, 5, 0, 8, 0, -1, 7, -1, 6, 0, -2, -1, 0, -1, 0, 9, 0, 0, -4, 0, -3, -4, 0, -1, 4, 0, -2, 0, 1, 0, 5, -1, -2, 0, 0, 9, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -2, 0, 3, -2, 0, 0, 0, 0, 0, -1, 5, 4, 0, 0, -6, -1, 0, 7, -4, -1, 0, 0, 0, 0, 0, -1, 0, 0, -3, -3, -3, 0, 0, 0, 7, 0, 0, -1, 2, 0, -2, 0, 1, 0, 0, 0, 0, -3, 0, -1, -8, 0, -4, 9, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, -3, 0, -1, 7, -1, 0, 0, 0, 0, 2, 5, 0, -2, 0, -1, -6, 0, 0, -4, 0, 0, -3, 0, 0, 0, -5, 0, 0, 0, -6, 0, 0, 10, 0, 0, 9, 0, 0, -1, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, -1, -1, 0, 0, -2, -6, -2, 0, 0, -2, 0, 5, 0, -2, 0, -6, -1, 0, 0, -3, 0, -2, -1, 0, 4, -2, 8, 0, 0, -4, -1, 0, 0, 0, 0, -6, 0, 0, 0, 7, 0, 3, 0, 0, -2, 9, -1, 3, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0, 0, 2, -1, -2, -4, 3, 0, 0, 0, 0, 0, 7, 0, 0, -1, 0, -2, 0, 0, 0, 0, 0, 0, 7, -1, 0, -1, 9, 8, 0, 0, 0, -2, -3, 0, 0, -1, 1, -1, -4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 4, -1, -3, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, -1, 3, 0, -5, 0, 9, -1, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 5, 0, -4, 0, 0, 10, 0, 0, 0, 0, -5, 0, 0, 0, 0, -1, -2, -1, -1, 0, 0, -1, 8, -1, 0, 0, -5, -4, 0, 0, 0, -2, 0, -2, 0, 0, -6, -1, 0, -2, -2, 0, 1, 5, 0, 0, 5, 0, -4, 0, 0, -2, 0, -3, 0, 0, 0, -2, 0, 0, 0, 0, 8, -3, -2, -2, 0, 0, 0, 0, 0, -1, 5, 0, 0, 0, -2, -1, -6, 0, -2, 6, 0, 0, 0, 0, 0, -2, 0, 0, -5, -1, -1, 0, 0, 0, -4, 0, 0, 0, 9, 0, -9, -2, 0, 0, 0, 0, 3, 0, 0, -2, 0, -1, -4, -1, 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, -1, 0, 0, 3, -1, 0, 0, 0, 0, -2, -2, 0, 5, 0, -4, -3, 0, 0, -1, 0, -2, -2, 0, 0, 0, -4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1, 0, 0, 7, 0, -1, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 0, -2, -1, 0, -2, -2, 4, 10, 0, -2, 0, 0, 7, 0, 2, 0, -4, -2, 0, 0, 0, 0, 8, 5, 0, 0, 3, 0, 0, -2, -3, -1, 0, 0, 4, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, -3, 9, 9, 0, 0, 0, -3, 0, -3, -1, -6, 0, 0, 2, 0, 0, 5, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 10, 3, 0, 0, 0, 0, 9, 0, 0, -5, -2, 0, 0, -1, -1, 0, 0, 0, -1, -4, 0, -3, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, -1, -4, 0, 0, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 9, 0, 0, -1, 0, -2, 0, 8, 0, 3, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 5, 0, 0, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 7, 9, -1, 0, 4, -2, 9, -3, 0, -6, -3, 0, -2, 0, 0, 0, -1, 7, 0, -4, -1, 0, -1, 0, 0, -2, -1, -1, 0, -2, -1, -6, 0, 0, 0, 0, -3, 0, 0, 0, -1, 0, -2, 0, 0, 2, -1, 0, 0, 0, 0, 0, -2, 0, -5, -3, 9, 0, 0, 3, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, -3, 0, 0, -1, 0, 0, -2, 0, -1, 0, 0, 0, 5, -1, 0, -3, -3, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -1, 0, 0, -2, 9, 0, 0, 0, 0, -3, 7, 0, -2, 0, 4, 0, -3, 0, 0, 0, -1, -6, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 5, 0, 0, 0, 0, -1, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 139408
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 5, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '167.1.b.a', 'source_level': 167, 'target_char_orbit': 2, 'target_dim': 5, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '167.1.b.a', 'target_level': 167, 'twist_class_label': '167.1.b.a', 'twist_class_level': 167, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 139409
{'conductor': 167, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -167, 'source_char_orbit': 2, 'source_dim': 5, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '167.1.b.a', 'source_level': 167, 'target_char_orbit': 2, 'target_dim': 5, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '167.1.b.a', 'target_level': 167, 'twist_class_label': '167.1.b.a', 'twist_class_level': 167, 'twisting_char_label': '167.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 139410
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 5, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '167.1.b.a', 'source_level': 167, 'target_char_orbit': 4, 'target_dim': 5, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1503.1.d.a', 'target_level': 1503, 'twist_class_label': '167.1.b.a', 'twist_class_level': 167, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 139411
{'conductor': 501, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 5, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '167.1.b.a', 'source_level': 167, 'target_char_orbit': 4, 'target_dim': 5, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1503.1.d.a', 'target_level': 1503, 'twist_class_label': '167.1.b.a', 'twist_class_level': 167, 'twisting_char_label': '501.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 139412
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 5, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '167.1.b.a', 'source_level': 167, 'target_char_orbit': 7, 'target_dim': 5, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2672.1.g.a', 'target_level': 2672, 'twist_class_label': '167.1.b.a', 'twist_class_level': 167, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 139413
{'conductor': 668, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 5, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '167.1.b.a', 'source_level': 167, 'target_char_orbit': 7, 'target_dim': 5, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2672.1.g.a', 'target_level': 2672, 'twist_class_label': '167.1.b.a', 'twist_class_level': 167, 'twisting_char_label': '668.b', 'twisting_char_orbit': 2, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 432425
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 2}
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id: 432426
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 3}
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id: 432427
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 5}
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id: 432428
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 7}
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id: 432429
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 11}
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id: 432430
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 13}
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id: 432431
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 17}
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id: 432432
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 19}
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id: 432433
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 23}
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id: 432434
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 29}
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id: 432435
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 31}
-
id: 432436
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 37}
-
id: 432437
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 41}
-
id: 432438
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 43}
-
id: 432439
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 47}
-
id: 432440
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 53}
-
id: 432441
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 59}
-
id: 432442
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 61}
-
id: 432443
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 67}
-
id: 432444
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 71}
-
id: 432445
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 73}
-
id: 432446
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 79}
-
id: 432447
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 68736254119, 'p': 83}
-
id: 432448
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 89}
-
id: 432449
{'charpoly_factorization': [[[1, 3, -3, -4, 1, 1], 1]], 'hecke_orbit_code': 68736254119, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '167.1.b.a', 'level': 167, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 4278703
{'hecke_orbit_code': 68736254119, 'n': 1, 'trace_an': 5}
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id: 4278704
{'hecke_orbit_code': 68736254119, 'n': 2, 'trace_an': -1}
-
id: 4278705
{'hecke_orbit_code': 68736254119, 'n': 3, 'trace_an': -1}
-
id: 4278706
{'hecke_orbit_code': 68736254119, 'n': 4, 'trace_an': 4}
-
id: 4278707
{'hecke_orbit_code': 68736254119, 'n': 5, 'trace_an': 0}
-
id: 4278708
{'hecke_orbit_code': 68736254119, 'n': 6, 'trace_an': -2}
-
id: 4278709
{'hecke_orbit_code': 68736254119, 'n': 7, 'trace_an': -1}
-
id: 4278710
{'hecke_orbit_code': 68736254119, 'n': 8, 'trace_an': -2}
-
id: 4278711
{'hecke_orbit_code': 68736254119, 'n': 9, 'trace_an': 4}
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id: 4278712
{'hecke_orbit_code': 68736254119, 'n': 10, 'trace_an': 0}
-
id: 4278713
{'hecke_orbit_code': 68736254119, 'n': 11, 'trace_an': -1}
-
id: 4278714
{'hecke_orbit_code': 68736254119, 'n': 12, 'trace_an': -3}
-
id: 4278715
{'hecke_orbit_code': 68736254119, 'n': 13, 'trace_an': 0}
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id: 4278716
{'hecke_orbit_code': 68736254119, 'n': 14, 'trace_an': -2}
-
id: 4278717
{'hecke_orbit_code': 68736254119, 'n': 15, 'trace_an': 0}
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id: 4278718
{'hecke_orbit_code': 68736254119, 'n': 16, 'trace_an': 3}
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id: 4278719
{'hecke_orbit_code': 68736254119, 'n': 17, 'trace_an': 0}
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id: 4278720
{'hecke_orbit_code': 68736254119, 'n': 18, 'trace_an': -3}
-
id: 4278721
{'hecke_orbit_code': 68736254119, 'n': 19, 'trace_an': -1}
-
id: 4278722
{'hecke_orbit_code': 68736254119, 'n': 20, 'trace_an': 0}
-
id: 4278723
{'hecke_orbit_code': 68736254119, 'n': 21, 'trace_an': -2}
-
id: 4278724
{'hecke_orbit_code': 68736254119, 'n': 22, 'trace_an': -2}
-
id: 4278725
{'hecke_orbit_code': 68736254119, 'n': 23, 'trace_an': 0}
-
id: 4278726
{'hecke_orbit_code': 68736254119, 'n': 24, 'trace_an': -4}
-
id: 4278727
{'hecke_orbit_code': 68736254119, 'n': 25, 'trace_an': 5}
-
id: 4278728
{'hecke_orbit_code': 68736254119, 'n': 26, 'trace_an': 0}
-
id: 4278729
{'hecke_orbit_code': 68736254119, 'n': 27, 'trace_an': -2}
-
id: 4278730
{'hecke_orbit_code': 68736254119, 'n': 28, 'trace_an': -3}
-
id: 4278731
{'hecke_orbit_code': 68736254119, 'n': 29, 'trace_an': -1}
-
id: 4278732
{'hecke_orbit_code': 68736254119, 'n': 30, 'trace_an': 0}
-
id: 4278733
{'hecke_orbit_code': 68736254119, 'n': 31, 'trace_an': -1}
-
id: 4278734
{'hecke_orbit_code': 68736254119, 'n': 32, 'trace_an': -3}
-
id: 4278735
{'hecke_orbit_code': 68736254119, 'n': 33, 'trace_an': -2}
-
id: 4278736
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id: 4278943
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id: 4278944
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id: 4278945
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id: 4278946
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id: 4278947
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id: 4278948
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id: 4278949
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id: 4278950
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id: 4278951
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id: 4278952
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id: 4278953
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id: 4278954
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id: 4278955
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id: 4278956
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id: 4278957
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id: 4278958
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id: 4278959
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id: 4278960
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