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{'Nk2': 33696, 'analytic_conductor': 67.2659786627266, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [13, -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': [8424, 1, [6319, 4213, 7697, 3889], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 20396961, 'field_disc_factorization': [[3, 3], [13, 1], [58111, 1]], 'field_poly': [-2, -7, 7, 11, -4, -3, 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': [[5, [-8, 1, 21, -1, -12, 1, 1]], [7, [-6, -9, 25, 1, -13, 2, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580972776, 'hecke_ring_generator_nbound': 7, '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': '8424.2.a.u', 'level': 8424, '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, 13], 'level_radical': 78, 'minimal_twist': '936.2.q.d', 'nf_label': '6.6.20396961.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{3}q^{5}-\\beta _{5}q^{7}+(-1+\\beta _{2}-\\beta _{4}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8424.2.a', 'trace_display': [0, 0, -1, -2], 'trace_hash': 128069768431028530, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'ALdims': [16, 21, 20, 15, 18, 17, 18, 19], 'Nk2': 33696, 'analytic_conductor': 67.2659786627266, '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': [8424, 1, [6319, 4213, 7697, 3889], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1465, 'dim': 144, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33562856, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11], 'label': '8424.2.a', 'level': 8424, '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, 13], 'level_radical': 78, 'mf_dim': 1560, 'mf_new_dim': 144, 'num_forms': 32, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 3024, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -540, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 348, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, -120, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48340520
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580972776, 'source_is_minimal': False, 'source_label': '8424.2.a.u.1.4', 'source_level': 8424, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90071992580972776, 'target_is_minimal': False, 'target_label': '8424.2.a.u.1.4', 'target_level': 8424, 'twist_class_label': '936.2.q.d.313.2', 'twist_class_level': 936, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48340521
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580972776, 'source_is_minimal': False, 'source_label': '8424.2.a.u.1.4', 'source_level': 8424, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575592208343272, 'target_is_minimal': False, 'target_label': '8424.2.a.v.1.3', 'target_level': 8424, 'twist_class_label': '936.2.q.d.313.2', 'twist_class_level': 936, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48340522
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580972776, 'source_is_minimal': False, 'source_label': '8424.2.a.u.1.4', 'source_level': 8424, 'target_conrey_index': 625, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294632, 'target_is_minimal': True, 'target_label': '936.2.q.d.625.2', 'target_level': 936, 'twist_class_label': '936.2.q.d.313.2', 'twist_class_level': 936, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48340523
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580972776, 'source_is_minimal': False, 'source_label': '8424.2.a.u.1.4', 'source_level': 8424, 'target_conrey_index': 937, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511898427296504, 'target_is_minimal': False, 'target_label': '2808.2.q.d.937.3', 'target_level': 2808, 'twist_class_label': '936.2.q.d.313.2', 'twist_class_level': 936, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48340524
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580972776, 'source_is_minimal': False, 'source_label': '8424.2.a.u.1.4', 'source_level': 8424, 'target_conrey_index': 313, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294632, 'target_is_minimal': True, 'target_label': '936.2.q.d.313.2', 'target_level': 936, 'twist_class_label': '936.2.q.d.313.2', 'twist_class_level': 936, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48340525
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580972776, 'source_is_minimal': False, 'source_label': '8424.2.a.u.1.4', 'source_level': 8424, 'target_conrey_index': 1873, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511898427296504, 'target_is_minimal': False, 'target_label': '2808.2.q.d.1873.3', 'target_level': 2808, 'twist_class_label': '936.2.q.d.313.2', 'twist_class_level': 936, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4751100
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 90071992580972776, 'p': 2}
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id: 4751101
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 90071992580972776, 'p': 3}
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id: 4751102
{'charpoly_factorization': [[[-8, 1, 21, -1, -12, 1, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 5}
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id: 4751103
{'charpoly_factorization': [[[-6, -9, 25, 1, -13, 2, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 7}
-
id: 4751104
{'charpoly_factorization': [[[-258, -147, 211, 32, -37, 1, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 11}
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id: 4751105
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 90071992580972776, 'p': 13}
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id: 4751106
{'charpoly_factorization': [[[337, 120, -483, -275, -30, 6, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 17}
-
id: 4751107
{'charpoly_factorization': [[[262, 171, -154, -113, -5, 7, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 19}
-
id: 4751108
{'charpoly_factorization': [[[27, -477, 769, -475, 138, -19, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 23}
-
id: 4751109
{'charpoly_factorization': [[[-13074, 2829, 2260, -190, -99, 2, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 29}
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id: 4751110
{'charpoly_factorization': [[[432, 207, -602, -442, -45, 8, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 31}
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id: 4751111
{'charpoly_factorization': [[[149902, 28955, -8953, -2398, -67, 17, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 37}
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id: 4751112
{'charpoly_factorization': [[[-154662, 11061, 11155, -395, -205, 2, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 41}
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id: 4751113
{'charpoly_factorization': [[[471, 1215, -2, -405, 11, 15, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 43}
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id: 4751114
{'charpoly_factorization': [[[6826, 3741, -1152, -923, -105, 9, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 47}
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id: 4751115
{'charpoly_factorization': [[[18057, 4368, -2294, -643, 23, 16, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 53}
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id: 4751116
{'charpoly_factorization': [[[76, 141, -91, -263, -110, -5, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 59}
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id: 4751117
{'charpoly_factorization': [[[-1625, -4225, -3905, -1474, -172, 6, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 61}
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id: 4751118
{'charpoly_factorization': [[[-72428, -21585, 17069, -1033, -251, 8, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 67}
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id: 4751119
{'charpoly_factorization': [[[-6912, 9531, -3231, 90, 126, -21, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 71}
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id: 4751120
{'charpoly_factorization': [[[-4464, -21897, 10155, 432, -257, 1, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 73}
-
id: 4751121
{'charpoly_factorization': [[[-12069, -3195, 3619, 2068, 408, 34, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 79}
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id: 4751122
{'charpoly_factorization': [[[-48362, 3199, 15633, -5437, 729, -44, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 83}
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id: 4751123
{'charpoly_factorization': [[[-511458, 36939, 26728, -1921, -291, 11, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 89}
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id: 4751124
{'charpoly_factorization': [[[7932, 5421, -842, -939, -88, 12, 1], 1]], 'hecke_orbit_code': 90071992580972776, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '8424.2.a.u', 'level': 8424, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64569121
{'hecke_orbit_code': 90071992580972776, 'n': 1, 'trace_an': 6}
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id: 64569122
{'hecke_orbit_code': 90071992580972776, 'n': 2, 'trace_an': 0}
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id: 64569123
{'hecke_orbit_code': 90071992580972776, 'n': 3, 'trace_an': 0}
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id: 64569124
{'hecke_orbit_code': 90071992580972776, 'n': 4, 'trace_an': 0}
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id: 64569125
{'hecke_orbit_code': 90071992580972776, 'n': 5, 'trace_an': -1}
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id: 64569126
{'hecke_orbit_code': 90071992580972776, 'n': 6, 'trace_an': 0}
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id: 64569127
{'hecke_orbit_code': 90071992580972776, 'n': 7, 'trace_an': -2}
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id: 64569128
{'hecke_orbit_code': 90071992580972776, 'n': 8, 'trace_an': 0}
-
id: 64569129
{'hecke_orbit_code': 90071992580972776, 'n': 9, 'trace_an': 0}
-
id: 64569130
{'hecke_orbit_code': 90071992580972776, 'n': 10, 'trace_an': 0}
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id: 64569131
{'hecke_orbit_code': 90071992580972776, 'n': 11, 'trace_an': -1}
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id: 64569132
{'hecke_orbit_code': 90071992580972776, 'n': 12, 'trace_an': 0}
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id: 64569133
{'hecke_orbit_code': 90071992580972776, 'n': 13, 'trace_an': 6}
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id: 64569134
{'hecke_orbit_code': 90071992580972776, 'n': 14, 'trace_an': 0}
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id: 64569135
{'hecke_orbit_code': 90071992580972776, 'n': 15, 'trace_an': 0}
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id: 64569136
{'hecke_orbit_code': 90071992580972776, 'n': 16, 'trace_an': 0}
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id: 64569137
{'hecke_orbit_code': 90071992580972776, 'n': 17, 'trace_an': -6}
-
id: 64569138
{'hecke_orbit_code': 90071992580972776, 'n': 18, 'trace_an': 0}
-
id: 64569139
{'hecke_orbit_code': 90071992580972776, 'n': 19, 'trace_an': -7}
-
id: 64569140
{'hecke_orbit_code': 90071992580972776, 'n': 20, 'trace_an': 0}
-
id: 64569141
{'hecke_orbit_code': 90071992580972776, 'n': 21, 'trace_an': 0}
-
id: 64569142
{'hecke_orbit_code': 90071992580972776, 'n': 22, 'trace_an': 0}
-
id: 64569143
{'hecke_orbit_code': 90071992580972776, 'n': 23, 'trace_an': 19}
-
id: 64569144
{'hecke_orbit_code': 90071992580972776, 'n': 24, 'trace_an': 0}
-
id: 64569145
{'hecke_orbit_code': 90071992580972776, 'n': 25, 'trace_an': -5}
-
id: 64569146
{'hecke_orbit_code': 90071992580972776, 'n': 26, 'trace_an': 0}
-
id: 64569147
{'hecke_orbit_code': 90071992580972776, 'n': 27, 'trace_an': 0}
-
id: 64569148
{'hecke_orbit_code': 90071992580972776, 'n': 28, 'trace_an': 0}
-
id: 64569149
{'hecke_orbit_code': 90071992580972776, 'n': 29, 'trace_an': -2}
-
id: 64569150
{'hecke_orbit_code': 90071992580972776, 'n': 30, 'trace_an': 0}
-
id: 64569151
{'hecke_orbit_code': 90071992580972776, 'n': 31, 'trace_an': -8}
-
id: 64569152
{'hecke_orbit_code': 90071992580972776, 'n': 32, 'trace_an': 0}
-
id: 64569153
{'hecke_orbit_code': 90071992580972776, 'n': 33, 'trace_an': 0}
-
id: 64569154
{'hecke_orbit_code': 90071992580972776, 'n': 34, 'trace_an': 0}
-
id: 64569155
{'hecke_orbit_code': 90071992580972776, 'n': 35, 'trace_an': -1}
-
id: 64569156
{'hecke_orbit_code': 90071992580972776, 'n': 36, 'trace_an': 0}
-
id: 64569157
{'hecke_orbit_code': 90071992580972776, 'n': 37, 'trace_an': -17}
-
id: 64569158
{'hecke_orbit_code': 90071992580972776, 'n': 38, 'trace_an': 0}
-
id: 64569159
{'hecke_orbit_code': 90071992580972776, 'n': 39, 'trace_an': 0}
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