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{'Nk2': 24384, 'analytic_conductor': 48.67680507217252, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [127, 1]], 'atkin_lehner_string': '--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6096, 1, [2287, 1525, 2033, 4321], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 246832, 'field_disc_factorization': [[2, 4], [15427, 1]], 'field_poly': [-2, 7, 6, -5, -2, 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, [-1, 7, 11, -9, -1, 1]], [7, [-2, 33, 4, -13, 0, 1]], [11, [-8, 33, 96, 63, 14, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482045904, 'hecke_ring_generator_nbound': 5, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6096.2.a.bf', 'level': 6096, '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, 127], 'level_radical': 762, 'minimal_twist': '381.2.a.d', 'nf_label': '5.5.246832.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+\\beta _{3}q^{5}+(\\beta _{1}-\\beta _{2})q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6096.2.a', 'trace_display': [0, 5, 1, 0], 'trace_hash': 2274838438826830828, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_newspaces • Show schema
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{'ALdims': [13, 18, 18, 13, 16, 16, 11, 21], 'Nk2': 24384, 'analytic_conductor': 48.67680507217252, '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': [6096, 1, [2287, 1525, 2033, 4321], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1013, 'dim': 126, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33560528, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 8, 8, 9, 10, 10], 'label': '6096.2.a', 'level': 6096, '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, 127], 'level_radical': 762, 'mf_dim': 1036, 'mf_new_dim': 126, 'num_forms': 39, 'plus_dim': 53, 'prim_orbit_index': 1, 'relative_dim': 126, 'sturm_bound': 2048, 'trace_bound': 7, 'trace_display': [0, 0, 4, 0], 'traces': [126, 0, 0, 0, 4, 0, 0, 0, 126, 0, 0, 0, 4, 0, 4, 0, -4, 0, -4, 0, 0, 0, -24, 0, 122, 0, 0, 0, 4, 0, 20, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 24, 0, 126, 0, 8, 0, 20, 0, -24, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, 24, 0, -16, 0, 0, 0, -20, 0, 0, 0, 16, 0, 28, 0, 126, 0, 16, 0, 8, 0, 12, 0, -4, 0, 24, 0, 16, 0, 64, 0, 12, 0, 0, 0, 36, 0, 44, 0, 0, 0, 40, 0, 20, 0, 0, 0, -4, 0, 24, 0, 4, 0, -32, 0, 142, 0, 24, 0, -24, 0, 10, 0, 16, 0, -4, 0, -16, 0, 4, 0, 44, 0, 48, 0, -16, 0, 60, 0, 24, 0, 0, 0, -12, 0, -16, 0, -4, 0, 0, 0, 20, 0, 28, 0, 32, 0, 24, 0, 16, 0, 16, 0, 170, 0, -4, 0, -12, 0, 40, 0, 16, 0, -32, 0, 4, 0, 0, 0, 8, 0, -24, 0, 0, 0, -28, 0, 12, 0, 16, 0, 52, 0, -28, 0, 16, 0, 64, 0, 8, 0, -24, 0, 0, 0, -76, 0, 0, 0, -72, 0, 32, 0, 0, 0, 72, 0, 32, 0, 122, 0, -52, 0, 4, 0, 0, 0, -36, 0, 104, 0, 0, 0, 0, 0, -20, 0, 0, 0, 36, 0, 40, 0, -16, 0, 0, 0, 64, 0, 24, 0, -20, 0, -8, 0, 4, 0, 96, 0, -88, 0, 36, 0, 84, 0, 72, 0, 0, 0, 32, 0, 84, 0, 20, 0, -20, 0, 72, 0, 16, 0, 64, 0, 122, 0, 24, 0, 36, 0, 8, 0, 0, 0, 176, 0, 64, 0, 36, 0, -40, 0, 56, 0, 16, 0, -8, 0, -36, 0, 0, 0, 4, 0, 88, 0, -32, 0, 20, 0, 28, 0, -24, 0, 0, 0, 96, 0, 4, 0, 128, 0, -20, 0, 0, 0, -32, 0, 144, 0, 0, 0, 48, 0, -108, 0, 0, 0, -52, 0, -8, 0, -16, 0, 80, 0, 126, 0, 48, 0, 8, 0, 28, 0, -4, 0, 112, 0, 20, 0, 72, 0, 24, 0, 72, 0, 0, 0, 44, 0, 0, 0, 0, 0, 20, 0, 56, 0, 16, 0, 136, 0, -92, 0, 80, 0, 60, 0, 192, 0, 4, 0, -120, 0, -4, 0, 12, 0, -32, 0, 168, 0, -16, 0, -16, 0, -60, 0, 24, 0, -44, 0, 40, 0, -48, 0, 176, 0, -36, 0, 16, 0, -144, 0, 16, 0, 126, 0, 0, 0, 56, 0, -32, 0, 60, 0, 28, 0, 0, 0, -72, 0, 60, 0, 8, 0, -28, 0, 68, 0, -32, 0, -48, 0, 16, 0, 48, 0, -64, 0, -60, 0, 20, 0, 56, 0, -72, 0, 40, 0, -40, 0, -144, 0, -16, 0, -56, 0, 8, 0, -24, 0, 16, 0, 168, 0, 16, 0, 16, 0, -120, 0, 0, 0, 28, 0, -120, 0, 0, 0, -88, 0, 8, 0, 36, 0, -132, 0, 108, 0, 64, 0, 44, 0, 62, 0, 0, 0, -16, 0, 32, 0, 0, 0, -240, 0, -28, 0, 88, 0, -120, 0, -48, 0, 4, 0, -80, 0, 32, 0, 24, 0, -4, 0, 40, 0, 16, 0, 144, 0, 72, 0, 0, 0, -4, 0, 48, 0, -48, 0, -120, 0, -36, 0, 48, 0, 32, 0, 24, 0, -24, 0, -128, 0, 24, 0, -64, 0, -84, 0, -208, 0, 48, 0, -120, 0, 12, 0, 24, 0, 84, 0, 108, 0, 16, 0, 36, 0, 20, 0, -104, 0, -84, 0, 56, 0, -16, 0, 56, 0, 38, 0, 40, 0, 96, 0, 80, 0, 32, 0, 0, 0, -28, 0, 0, 0, -4, 0, 60, 0, -80, 0, -192, 0, 16, 0, 80, 0, 84, 0, -16, 0, -20, 0, -160, 0, 4, 0, 96, 0, -80, 0, -360, 0, 32, 0, 8, 0, -4, 0, 0, 0, 12, 0, 0, 0, -48, 0, 120, 0, 88, 0, -24, 0, 24, 0, 32, 0, 16, 0, 16, 0, -40, 0, -60, 0, 36, 0, -52, 0, 32, 0, 24, 0, 100, 0, 28, 0, -48, 0, 168, 0, -32, 0, 48, 0, 0, 0, -8, 0, 108, 0, -8, 0, 126, 0, -168, 0, 12, 0, -116, 0, 80, 0, 132, 0, 80, 0, -48, 0, -8, 0, 16, 0, 64, 0, 56, 0, -16, 0, 8, 0, -60, 0, 80, 0, -4, 0, -72, 0, 8, 0, -8, 0, -52, 0, -12, 0, 36, 0, -92, 0, 64, 0, 152, 0, 64, 0, 12, 0, -184, 0, -156, 0, -48, 0, -144, 0, -24, 0, 0, 0, -84, 0, -56, 0, -4, 0, 52, 0, -16, 0, -24, 0, -4, 0, -4, 0, 64, 0, 64, 0, 128, 0, 24, 0, -76, 0, 156, 0, 0, 0, -192, 0, 116, 0, 152, 0, -212, 0, 112, 0, 16, 0, -168, 0, 42, 0, -108, 0, -116, 0, -144, 0, 16, 0, -432, 0, -28, 0, 64, 0, -68, 0, 144, 0, -80, 0, 88, 0, 24, 0, 64, 0, 72, 0, -96, 0, 12, 0, 48, 0, -92, 0, 36, 0, -116, 0, 68, 0, 80, 0, -200, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, -16, 0, 72, 0, 48, 0, 120, 0, -212, 0, 36, 0, -220, 0, 32, 0, -24, 0, -64, 0, -60, 0, 32, 0, -16, 0, 12, 0, 44, 0, 44, 0, 100, 0, -80, 0, -280, 0, -84, 0, 32, 0, -76, 0, 200, 0, 0, 0, -120, 0, -80, 0, 4, 0, -36, 0, -80, 0, 48, 0, -104, 0, 62, 0, 40, 0, -136, 0, -144, 0, -96, 0, 64, 0, -48, 0, -16, 0, 12, 0, -288, 0, 20, 0, 32, 0, -88, 0, -64, 0, -32, 0, 0, 0, 32, 0, -328, 0, -92, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48758949
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 139611588482045904, 'source_is_minimal': False, 'source_label': '6096.2.a.bf.1.1', 'source_level': 6096, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482045904, 'target_is_minimal': False, 'target_label': '6096.2.a.bf.1.1', 'target_level': 6096, 'twist_class_label': '381.2.a.d.1.2', 'twist_class_level': 381, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48758950
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 139611588482045904, 'source_is_minimal': False, 'source_label': '6096.2.a.bf.1.1', 'source_level': 6096, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666301, 'target_is_minimal': True, 'target_label': '381.2.a.d.1.2', 'target_level': 381, 'twist_class_label': '381.2.a.d.1.2', 'twist_class_level': 381, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48758951
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 139611588482045904, 'source_is_minimal': False, 'source_label': '6096.2.a.bf.1.1', 'source_level': 6096, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021597797778551, 'target_is_minimal': False, 'target_label': '1143.2.a.g.1.4', 'target_level': 1143, 'twist_class_label': '381.2.a.d.1.2', 'twist_class_level': 381, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48758952
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 139611588482045904, 'source_is_minimal': False, 'source_label': '6096.2.a.bf.1.1', 'source_level': 6096, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396679898421, 'target_is_minimal': False, 'target_label': '9525.2.a.j.1.4', 'target_level': 9525, 'twist_class_label': '381.2.a.d.1.2', 'twist_class_level': 381, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4090950
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 139611588482045904, 'p': 2}
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id: 4090951
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 139611588482045904, 'p': 3}
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id: 4090952
{'charpoly_factorization': [[[-1, 7, 11, -9, -1, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 5}
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id: 4090953
{'charpoly_factorization': [[[-2, 33, 4, -13, 0, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 7}
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id: 4090954
{'charpoly_factorization': [[[-8, 33, 96, 63, 14, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 11}
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id: 4090955
{'charpoly_factorization': [[[19, -9, -33, -3, 5, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 13}
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id: 4090956
{'charpoly_factorization': [[[64, 304, 64, -32, -4, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 17}
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id: 4090957
{'charpoly_factorization': [[[256, 192, -64, -40, 4, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 19}
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id: 4090958
{'charpoly_factorization': [[[-592, -448, 4, 64, 15, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 23}
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id: 4090959
{'charpoly_factorization': [[[-2279, 29, 347, -31, -9, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 29}
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id: 4090960
{'charpoly_factorization': [[[-1840, 1424, 4, -100, 3, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 31}
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id: 4090961
{'charpoly_factorization': [[[907, -669, -653, -91, 5, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 37}
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id: 4090962
{'charpoly_factorization': [[[-2368, 1424, 320, -116, -4, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 41}
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id: 4090963
{'charpoly_factorization': [[[11272, 1661, -746, -89, 10, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 43}
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id: 4090964
{'charpoly_factorization': [[[-152, 581, 114, -49, -4, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 47}
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id: 4090965
{'charpoly_factorization': [[[211, -475, 305, -55, -3, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 53}
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id: 4090966
{'charpoly_factorization': [[[1520, -2496, -284, 128, 23, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 59}
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id: 4090967
{'charpoly_factorization': [[[119213, 7395, -2891, -191, 15, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 61}
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id: 4090968
{'charpoly_factorization': [[[-9836, -18595, -3982, -137, 18, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 67}
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id: 4090969
{'charpoly_factorization': [[[106, -135, -106, 19, 12, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 71}
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id: 4090970
{'charpoly_factorization': [[[1369, 9735, 4317, 665, 43, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 73}
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id: 4090971
{'charpoly_factorization': [[[256, -464, -64, 64, 16, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 79}
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id: 4090972
{'charpoly_factorization': [[[-13120, -10976, -2744, -176, 11, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 83}
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id: 4090973
{'charpoly_factorization': [[[13159, 7699, 671, -153, -9, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 89}
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id: 4090974
{'charpoly_factorization': [[[-5120, -6512, -1280, 28, 20, 1], 1]], 'hecke_orbit_code': 139611588482045904, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '6096.2.a.bf', 'level': 6096, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68840569
{'hecke_orbit_code': 139611588482045904, 'n': 1, 'trace_an': 5}
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id: 68840570
{'hecke_orbit_code': 139611588482045904, 'n': 2, 'trace_an': 0}
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id: 68840571
{'hecke_orbit_code': 139611588482045904, 'n': 3, 'trace_an': 5}
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id: 68840572
{'hecke_orbit_code': 139611588482045904, 'n': 4, 'trace_an': 0}
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id: 68840573
{'hecke_orbit_code': 139611588482045904, 'n': 5, 'trace_an': 1}
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id: 68840574
{'hecke_orbit_code': 139611588482045904, 'n': 6, 'trace_an': 0}
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id: 68840575
{'hecke_orbit_code': 139611588482045904, 'n': 7, 'trace_an': 0}
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id: 68840576
{'hecke_orbit_code': 139611588482045904, 'n': 8, 'trace_an': 0}
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id: 68840577
{'hecke_orbit_code': 139611588482045904, 'n': 9, 'trace_an': 5}
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id: 68840578
{'hecke_orbit_code': 139611588482045904, 'n': 10, 'trace_an': 0}
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id: 68840579
{'hecke_orbit_code': 139611588482045904, 'n': 11, 'trace_an': -14}
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id: 68840580
{'hecke_orbit_code': 139611588482045904, 'n': 12, 'trace_an': 0}
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id: 68840581
{'hecke_orbit_code': 139611588482045904, 'n': 13, 'trace_an': -5}
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id: 68840582
{'hecke_orbit_code': 139611588482045904, 'n': 14, 'trace_an': 0}
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id: 68840583
{'hecke_orbit_code': 139611588482045904, 'n': 15, 'trace_an': 1}
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id: 68840584
{'hecke_orbit_code': 139611588482045904, 'n': 16, 'trace_an': 0}
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id: 68840585
{'hecke_orbit_code': 139611588482045904, 'n': 17, 'trace_an': 4}
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id: 68840586
{'hecke_orbit_code': 139611588482045904, 'n': 18, 'trace_an': 0}
-
id: 68840587
{'hecke_orbit_code': 139611588482045904, 'n': 19, 'trace_an': -4}
-
id: 68840588
{'hecke_orbit_code': 139611588482045904, 'n': 20, 'trace_an': 0}
-
id: 68840589
{'hecke_orbit_code': 139611588482045904, 'n': 21, 'trace_an': 0}
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id: 68840590
{'hecke_orbit_code': 139611588482045904, 'n': 22, 'trace_an': 0}
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id: 68840591
{'hecke_orbit_code': 139611588482045904, 'n': 23, 'trace_an': -15}
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id: 68840592
{'hecke_orbit_code': 139611588482045904, 'n': 24, 'trace_an': 0}
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id: 68840593
{'hecke_orbit_code': 139611588482045904, 'n': 25, 'trace_an': -6}
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id: 68840594
{'hecke_orbit_code': 139611588482045904, 'n': 26, 'trace_an': 0}
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