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{'Nk2': 39600, 'analytic_conductor': 79.05189800106758, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [11, 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': [9900, 1, [4951, 5501, 2377, 4501], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 145, 'field_disc_factorization': [[5, 1], [29, 1]], 'field_poly': [-36, -1, 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': [[7, [3, 1]], [13, [-36, 1, 1]], [17, [-34, -3, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482049708, 'hecke_ring_generator_nbound': 13, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9900.2.a.bf', 'level': 9900, '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': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'minimal_twist': '3300.2.a.s', 'nf_label': '2.2.145.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{7}-q^{11}+(-1+\\beta )q^{13}+(2-\\beta )q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9900.2.a', 'trace_display': [0, 0, 0, -6], 'trace_hash': 684785272253908250, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.068', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.969', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 9, 9, 11, 12, 13, 11], 'Nk2': 39600, 'analytic_conductor': 79.05189800106758, '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': [9900, 1, [4951, 5501, 2377, 4501], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2089, 'dim': 79, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 17], 'hecke_orbit_code': 33564332, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'label': '9900.2.a', 'level': 9900, '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': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'mf_dim': 2232, 'mf_new_dim': 79, 'num_forms': 54, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 79, 'sturm_bound': 4320, 'trace_bound': 17, 'trace_display': [0, 0, 0, 2], 'traces': [79, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 4, 0, 0, 0, 10, 0, -4, 0, 0, 0, -11, 0, 0, 0, 0, 0, -24, 0, -21, 0, 0, 0, 0, 0, 1, 0, 0, 0, -16, 0, 6, 0, 0, 0, 24, 0, 87, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, -4, 0, 0, 0, 0, 0, -7, 0, 0, 0, -21, 0, -4, 0, 0, 0, 6, 0, 26, 0, 0, 0, -6, 0, 0, 0, 0, 0, -49, 0, 12, 0, 0, 0, 0, 0, 23, 0, 0, 0, -50, 0, 40, 0, 0, 0, -6, 0, -6, 0, 0, 0, -15, 0, 0, 0, 0, 0, 4, 0, 79, 0, 0, 0, 0, 0, 44, 0, 0, 0, 10, 0, -40, 0, 0, 0, -23, 0, -26, 0, 0, 0, -8, 0, 0, 0, 0, 0, -6, 0, 54, 0, 0, 0, 0, 0, -29, 0, 0, 0, 38, 0, 4, 0, 0, 0, -32, 0, 37, 0, 0, 0, -2, 0, 0, 0, 0, 0, -73, 0, 41, 0, 0, 0, 0, 0, -14, 0, 0, 0, -1, 0, 44, 0, 0, 0, 34, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 22, 0, 0, 0, -92, 0, -41, 0, 0, 0, -62, 0, 1, 0, 0, 0, 20, 0, 0, 0, 0, 0, 70, 0, 28, 0, 0, 0, 0, 0, 16, 0, 0, 0, -49, 0, -7, 0, 0, 0, -58, 0, 26, 0, 0, 0, -10, 0, 0, 0, 0, 0, 46, 0, 16, 0, 0, 0, 0, 0, 42, 0, 0, 0, -2, 0, 48, 0, 0, 0, 24, 0, 113, 0, 0, 0, 84, 0, 0, 0, 0, 0, 4, 0, 20, 0, 0, 0, 0, 0, -36, 0, 0, 0, 68, 0, -15, 0, 0, 0, 49, 0, 8, 0, 0, 0, -32, 0, 0, 0, 0, 0, -80, 0, 23, 0, 0, 0, 0, 0, 54, 0, 0, 0, -25, 0, -116, 0, 0, 0, 48, 0, -50, 0, 0, 0, -13, 0, 0, 0, 0, 0, 252, 0, 43, 0, 0, 0, 0, 0, -5, 0, 0, 0, -144, 0, 66, 0, 0, 0, 104, 0, -37, 0, 0, 0, -27, 0, 0, 0, 0, 0, -107, 0, -74, 0, 0, 0, 0, 0, -46, 0, 0, 0, 58, 0, -44, 0, 0, 0, 25, 0, -22, 0, 0, 0, -42, 0, 0, 0, 0, 0, 36, 0, 110, 0, 0, 0, 0, 0, -64, 0, 0, 0, 174, 0, -77, 0, 0, 0, -40, 0, 12, 0, 0, 0, -53, 0, 0, 0, 0, 0, -13, 0, -4, 0, 0, 0, 0, 0, 20, 0, 0, 0, 76, 0, 49, 0, 0, 0, -5, 0, -54, 0, 0, 0, -14, 0, 0, 0, 0, 0, -96, 0, -224, 0, 0, 0, 0, 0, -37, 0, 0, 0, 52, 0, -56, 0, 0, 0, -82, 0, -112, 0, 0, 0, 110, 0, 0, 0, 0, 0, -73, 0, -156, 0, 0, 0, 0, 0, -12, 0, 0, 0, -59, 0, 44, 0, 0, 0, 142, 0, 154, 0, 0, 0, -72, 0, 0, 0, 0, 0, -37, 0, -64, 0, 0, 0, 0, 0, 108, 0, 0, 0, -52, 0, 52, 0, 0, 0, -142, 0, -144, 0, 0, 0, 40, 0, 0, 0, 0, 0, 108, 0, 12, 0, 0, 0, 0, 0, -41, 0, 0, 0, 212, 0, 34, 0, 0, 0, -52, 0, 172, 0, 0, 0, -88, 0, 0, 0, 0, 0, 132, 0, 70, 0, 0, 0, 0, 0, -2, 0, 0, 0, 92, 0, 56, 0, 0, 0, 2, 0, 171, 0, 0, 0, 70, 0, 0, 0, 0, 0, 22, 0, 99, 0, 0, 0, 0, 0, -12, 0, 0, 0, -97, 0, -83, 0, 0, 0, 67, 0, 55, 0, 0, 0, -5, 0, 0, 0, 0, 0, 202, 0, 3, 0, 0, 0, 0, 0, 112, 0, 0, 0, -8, 0, 34, 0, 0, 0, 18, 0, -126, 0, 0, 0, -40, 0, 0, 0, 0, 0, 56, 0, 1, 0, 0, 0, 0, 0, 24, 0, 0, 0, 166, 0, -88, 0, 0, 0, 252, 0, -143, 0, 0, 0, -31, 0, 0, 0, 0, 0, 225, 0, -20, 0, 0, 0, 0, 0, 15, 0, 0, 0, 220, 0, -12, 0, 0, 0, 37, 0, -70, 0, 0, 0, 80, 0, 0, 0, 0, 0, -8, 0, 117, 0, 0, 0, 0, 0, 30, 0, 0, 0, 72, 0, 68, 0, 0, 0, -172, 0, -16, 0, 0, 0, -14, 0, 0, 0, 0, 0, 24, 0, -25, 0, 0, 0, 0, 0, 12, 0, 0, 0, 282, 0, 32, 0, 0, 0, -71, 0, 44, 0, 0, 0, -24, 0, 0, 0, 0, 0, 92, 0, -138, 0, 0, 0, 0, 0, -24, 0, 0, 0, -158, 0, -21, 0, 0, 0, -112, 0, 195, 0, 0, 0, 2, 0, 0, 0, 0, 0, -195, 0, 201, 0, 0, 0, 0, 0, 2, 0, 0, 0, -33, 0, -46, 0, 0, 0, 204, 0, -35, 0, 0, 0, 96, 0, 0, 0, 0, 0, -38, 0, -156, 0, 0, 0, 0, 0, 28, 0, 0, 0, -91, 0, 212, 0, 0, 0, -182, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 92, 0, -6, 0, 0, 0, -172, 0, -174, 0, 0, 0, 20, 0, 0, 0, 0, 0, 34, 0, -296, 0, 0, 0, 0, 0, 112, 0, 0, 0, 98, 0, -192, 0, 0, 0, 67, 0, -92, 0, 0, 0, 158, 0, 0, 0, 0, 0, 438, 0, -134, 0, 0, 0, 0, 0, -132, 0, 0, 0, -187, 0, -116, 0, 0, 0, 93, 0, 39, 0, 0, 0, 93, 0, 0, 0, 0, 0, -354, 0, 4, 0, 0, 0, 0, 0, 226, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1451874
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '9900.2.a.bf', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '3300.2.a.s', 'target_level': 3300, 'twist_class_label': '3300.2.a.s', 'twist_class_level': 3300, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1451875
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '9900.2.a.bf', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': True, 'target_label': '3300.2.a.x', 'target_level': 3300, 'twist_class_label': '3300.2.a.s', 'twist_class_level': 3300, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1451876
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '9900.2.a.bf', 'source_level': 9900, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3300.2.c.m', 'target_level': 3300, 'twist_class_label': '3300.2.a.s', 'twist_class_level': 3300, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1451877
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '9900.2.a.bf', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9900.2.a.bf', 'target_level': 9900, 'twist_class_label': '3300.2.a.s', 'twist_class_level': 3300, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1451878
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '9900.2.a.bf', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '9900.2.a.ca', 'target_level': 9900, 'twist_class_label': '3300.2.a.s', 'twist_class_level': 3300, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1451879
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '9900.2.a.bf', 'source_level': 9900, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '9900.2.c.t', 'target_level': 9900, 'twist_class_label': '3300.2.a.s', 'twist_class_level': 3300, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5154100
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 2}
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id: 5154101
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 3}
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id: 5154102
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 5}
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id: 5154103
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 7}
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id: 5154104
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 11}
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id: 5154105
{'charpoly_factorization': [[[-36, 1, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 13}
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id: 5154106
{'charpoly_factorization': [[[-34, -3, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 17}
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id: 5154107
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 19}
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id: 5154108
{'charpoly_factorization': [[[-30, -5, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 23}
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id: 5154109
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 29}
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id: 5154110
{'charpoly_factorization': [[[-36, 1, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 31}
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id: 5154111
{'charpoly_factorization': [[[-30, 5, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 37}
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id: 5154112
{'charpoly_factorization': [[[-6, 11, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 41}
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id: 5154113
{'charpoly_factorization': [[[-16, -9, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 43}
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id: 5154114
{'charpoly_factorization': [[[-16, -9, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 47}
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id: 5154115
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 53}
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id: 5154116
{'charpoly_factorization': [[[-16, 9, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 59}
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id: 5154117
{'charpoly_factorization': [[[-30, 5, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 61}
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id: 5154118
{'charpoly_factorization': [[[54, 19, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 67}
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id: 5154119
{'charpoly_factorization': [[[-36, 1, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 71}
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id: 5154120
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 73}
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id: 5154121
{'charpoly_factorization': [[[-36, -1, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 79}
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id: 5154122
{'charpoly_factorization': [[[-144, -2, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 83}
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id: 5154123
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 139611588482049708, 'p': 89}
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id: 5154124
{'charpoly_factorization': [[[-141, -4, 1], 1]], 'hecke_orbit_code': 139611588482049708, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '9900.2.a.bf', 'level': 9900, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68973697
{'hecke_orbit_code': 139611588482049708, 'n': 1, 'trace_an': 2}
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id: 68973698
{'hecke_orbit_code': 139611588482049708, 'n': 2, 'trace_an': 0}
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id: 68973699
{'hecke_orbit_code': 139611588482049708, 'n': 3, 'trace_an': 0}
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id: 68973700
{'hecke_orbit_code': 139611588482049708, 'n': 4, 'trace_an': 0}
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id: 68973701
{'hecke_orbit_code': 139611588482049708, 'n': 5, 'trace_an': 0}
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id: 68973702
{'hecke_orbit_code': 139611588482049708, 'n': 6, 'trace_an': 0}
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id: 68973703
{'hecke_orbit_code': 139611588482049708, 'n': 7, 'trace_an': -6}
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id: 68973704
{'hecke_orbit_code': 139611588482049708, 'n': 8, 'trace_an': 0}
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