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mf_newforms • Show schema
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{'Nk2': 15200, 'analytic_conductor': 30.343152768086547, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3800, 2, [951, 1901, 1977, 401], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 3649, 'dim': 6, 'field_disc': -419904, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 8]], 'field_poly': [1, 0, 9, 0, 6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, 9, 0, 6, 0, 1]], [7, [81, 0, 81, 0, 18, 0, 1]], [11, [-17, -6, 3, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050600975175384, 'hecke_ring_generator_nbound': 3, '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, 5, 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 15200, 'analytic_conductor': 30.343152768086547, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3800, 2, [951, 1901, 1977, 401], [2, 2, 1, 2]], 'conrey_index': 3649, 'cusp_dim': 576, 'dim': 82, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 206191988440, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '3800.2.d', 'level': 3800, '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, 5, 19], 'level_radical': 190, 'mf_dim': 624, 'mf_new_dim': 82, 'num_forms': 17, 'prim_orbit_index': 2, 'relative_dim': 82, 'sturm_bound': 1200, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [82, 0, 0, 0, 0, 0, 0, 0, -78, 0, -12, 0, 0, 0, 0, 0, 0, 0, 6, 0, 16, 0, 0, 0, 0, 0, 0, 0, -28, 0, -8, 0, 0, 0, 0, 0, 0, 0, -32, 0, -4, 0, 0, 0, 0, 0, 0, 0, -42, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 8, 0, 48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 98, 0, 0, 0, 0, 0, 0, 0, -12, 0, 32, 0, 0, 0, 0, 0, 0, 0, -52, 0, -4, 0, 0, 0, 0, 0, 0, 0, 44, 0, -40, 0, 0, 0, 0, 0, 0, 0, -36, 0, 102, 0, 0, 0, 0, 0, 0, 0, -32, 0, -4, 0, 0, 0, 0, 0, 0, 0, 36, 0, 104, 0, 0, 0, 0, 0, 0, 0, -40, 0, 72, 0, 0, 0, 0, 0, 0, 0, -96, 0, 112, 0, 0, 0, 0, 0, 0, 0, -122, 0, -30, 0, 0, 0, 0, 0, 0, 0, -80, 0, 76, 0, 0, 0, 0, 0, 0, 0, -152, 0, -8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 120, 0, 0, 0, 0, 0, 0, 0, -20, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 152, 0, 0, 0, 0, 0, 0, 0, 8, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -184, 0, 140, 0, 0, 0, 0, 0, 0, 0, 68, 0, -44, 0, 0, 0, 0, 0, 0, 0, 88, 0, -68, 0, 0, 0, 0, 0, 0, 0, -62, 0, -160, 0, 0, 0, 0, 0, 0, 0, 8, 0, 68, 0, 0, 0, 0, 0, 0, 0, -16, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, -144, 0, 0, 0, 0, 0, 0, 0, -20, 0, 104, 0, 0, 0, 0, 0, 0, 0, 192, 0, -32, 0, 0, 0, 0, 0, 0, 0, -24, 0, -88, 0, 0, 0, 0, 0, 0, 0, -112, 0, 82, 0, 0, 0, 0, 0, 0, 0, 100, 0, -40, 0, 0, 0, 0, 0, 0, 0, -80, 0, 16, 0, 0, 0, 0, 0, 0, 0, -8, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 36, 0, -120, 0, 0, 0, 0, 0, 0, 0, 288, 0, -52, 0, 0, 0, 0, 0, 0, 0, 56, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, 0, 0, 92, 0, 144, 0, 0, 0, 0, 0, 0, 0, -168, 0, 224, 0, 0, 0, 0, 0, 0, 0, 88, 0, 88, 0, 0, 0, 0, 0, 0, 0, -20, 0, 112, 0, 0, 0, 0, 0, 0, 0, -104, 0, -208, 0, 0, 0, 0, 0, 0, 0, 76, 0, -144, 0, 0, 0, 0, 0, 0, 0, 180, 0, 212, 0, 0, 0, 0, 0, 0, 0, 24, 0, -84, 0, 0, 0, 0, 0, 0, 0, -134, 0, -416, 0, 0, 0, 0, 0, 0, 0, 336, 0, 136, 0, 0, 0, 0, 0, 0, 0, 200, 0, -8, 0, 0, 0, 0, 0, 0, 0, -48, 0, 16, 0, 0, 0, 0, 0, 0, 0, -36, 0, 80, 0, 0, 0, 0, 0, 0, 0, 288, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, -176, 0, 0, 0, 0, 0, 0, 0, 96, 0, -4, 0, 0, 0, 0, 0, 0, 0, 144, 0, 184, 0, 0, 0, 0, 0, 0, 0, -40, 0, -424, 0, 0, 0, 0, 0, 0, 0, 32, 0, 176, 0, 0, 0, 0, 0, 0, 0, 16, 0, -28, 0, 0, 0, 0, 0, 0, 0, 32, 0, -376, 0, 0, 0, 0, 0, 0, 0, -304, 0, -132, 0, 0, 0, 0, 0, 0, 0, 392, 0, -180, 0, 0, 0, 0, 0, 0, 0, 80, 0, 48, 0, 0, 0, 0, 0, 0, 0, -80, 0, 12, 0, 0, 0, 0, 0, 0, 0, -112, 0, -28, 0, 0, 0, 0, 0, 0, 0, -84, 0, -120, 0, 0, 0, 0, 0, 0, 0, 200, 0, -128, 0, 0, 0, 0, 0, 0, 0, -78, 0, -188, 0, 0, 0, 0, 0, 0, 0, 60, 0, 24, 0, 0, 0, 0, 0, 0, 0, 160, 0, -24, 0, 0, 0, 0, 0, 0, 0, 128, 0, -180, 0, 0, 0, 0, 0, 0, 0, -20, 0, 88, 0, 0, 0, 0, 0, 0, 0, 60, 0, 88, 0, 0, 0, 0, 0, 0, 0, -48, 0, -120, 0, 0, 0, 0, 0, 0, 0, -116, 0, -252, 0, 0, 0, 0, 0, 0, 0, 20, 0, 264, 0, 0, 0, 0, 0, 0, 0, 32, 0, -248, 0, 0, 0, 0, 0, 0, 0, 92, 0, -128, 0, 0, 0, 0, 0, 0, 0, 56, 0, 298, 0, 0, 0, 0, 0, 0, 0, 288, 0, -8, 0, 0, 0, 0, 0, 0, 0, -60, 0, -72, 0, 0, 0, 0, 0, 0, 0, 200, 0, -96, 0, 0, 0, 0, 0, 0, 0, 320, 0, -44, 0, 0, 0, 0, 0, 0, 0, 376, 0, -244, 0, 0, 0, 0, 0, 0, 0, 200, 0, -64, 0, 0, 0, 0, 0, 0, 0, 36, 0, -248, 0, 0, 0, 0, 0, 0, 0, -340, 0, 56, 0, 0, 0, 0, 0, 0, 0, 184, 0, -74, 0, 0, 0, 0, 0, 0, 0, 288, 0, -292, 0, 0, 0, 0, 0, 0, 0, 144, 0, -140, 0, 0, 0, 0, 0, 0, 0, 224, 0, -54, 0, 0, 0, 0, 0, 0, 0, -24, 0, -152, 0, 0, 0, 0, 0, 0, 0, 88, 0, 196, 0, 0, 0, 0, 0, 0, 0, -72, 0, 320, 0, 0, 0, 0, 0, 0, 0, 228, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47855781
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 3649, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050600975175384, 'source_is_minimal': False, 'source_label': '3800.2.d.o.3649.2', 'source_level': 3800, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050600975175384, 'target_is_minimal': False, 'target_label': '3800.2.d.o.3649.2', 'target_level': 3800, 'twist_class_label': '3800.2.a.s.1.1', 'twist_class_level': 3800, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47855782
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 3649, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050600975175384, 'source_is_minimal': False, 'source_label': '3800.2.d.o.3649.2', 'source_level': 3800, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326227160, 'target_is_minimal': True, 'target_label': '3800.2.a.s.1.1', 'target_level': 3800, 'twist_class_label': '3800.2.a.s.1.1', 'twist_class_level': 3800, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47855783
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 3649, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050600975175384, 'source_is_minimal': False, 'source_label': '3800.2.d.o.3649.2', 'source_level': 3800, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568392953597656, 'target_is_minimal': True, 'target_label': '3800.2.a.t.1.3', 'target_level': 3800, 'twist_class_label': '3800.2.a.s.1.1', 'twist_class_level': 3800, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47855784
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 3649, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050600975175384, 'source_is_minimal': False, 'source_label': '3800.2.d.o.3649.2', 'source_level': 3800, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050600975175384, 'target_is_minimal': False, 'target_label': '3800.2.d.o.3649.5', 'target_level': 3800, 'twist_class_label': '3800.2.a.s.1.1', 'twist_class_level': 3800, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47855785
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 3649, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050600975175384, 'source_is_minimal': False, 'source_label': '3800.2.d.o.3649.2', 'source_level': 3800, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637863856, 'target_is_minimal': False, 'target_label': '7600.2.a.bs.1.1', 'target_level': 7600, 'twist_class_label': '3800.2.a.s.1.1', 'twist_class_level': 3800, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47855786
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 3649, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050600975175384, 'source_is_minimal': False, 'source_label': '3800.2.d.o.3649.2', 'source_level': 3800, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010493360, 'target_is_minimal': False, 'target_label': '7600.2.a.br.1.3', 'target_level': 7600, 'twist_class_label': '3800.2.a.s.1.1', 'twist_class_level': 3800, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3370050
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 63050600975175384, 'p': 2}
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id: 3370051
{'charpoly_factorization': [[[1, 0, 9, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 3}
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id: 3370052
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 63050600975175384, 'p': 5}
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id: 3370053
{'charpoly_factorization': [[[81, 0, 81, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 7}
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id: 3370054
{'charpoly_factorization': [[[-17, -6, 3, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 11}
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id: 3370055
{'charpoly_factorization': [[[289, 0, 222, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 13}
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id: 3370056
{'charpoly_factorization': [[[1, 0, 69, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 17}
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id: 3370057
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 63050600975175384, 'p': 19}
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id: 3370058
{'charpoly_factorization': [[[7921, 0, 1797, 0, 90, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 23}
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id: 3370059
{'charpoly_factorization': [[[-51, -36, -3, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 29}
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id: 3370060
{'charpoly_factorization': [[[89, 66, 15, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 31}
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id: 3370061
{'charpoly_factorization': [[[1369, 0, 1566, 0, 141, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 37}
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id: 3370062
{'charpoly_factorization': [[[-109, -12, 9, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 41}
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id: 3370063
{'charpoly_factorization': [[[361, 0, 195, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 43}
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id: 3370064
{'charpoly_factorization': [[[289, 0, 222, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 47}
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id: 3370065
{'charpoly_factorization': [[[12321, 0, 2691, 0, 99, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 53}
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id: 3370066
{'charpoly_factorization': [[[-296, -72, 6, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 59}
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id: 3370067
{'charpoly_factorization': [[[-233, -66, 9, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 61}
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id: 3370068
{'charpoly_factorization': [[[289, 0, 138, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 67}
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id: 3370069
{'charpoly_factorization': [[[-181, -21, 9, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 71}
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id: 3370070
{'charpoly_factorization': [[[81, 0, 162, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 73}
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id: 3370071
{'charpoly_factorization': [[[71, 21, -12, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 79}
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id: 3370072
{'charpoly_factorization': [[[83521, 0, 15606, 0, 285, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 83}
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id: 3370073
{'charpoly_factorization': [[[-51, -9, 6, 1], 2]], 'hecke_orbit_code': 63050600975175384, 'p': 89}
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id: 3370074
{'charpoly_factorization': [[[11449, 0, 3606, 0, 261, 0, 1], 1]], 'hecke_orbit_code': 63050600975175384, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 15, 'label': '3800.2.d.o', 'level': 3800, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 60271873
{'hecke_orbit_code': 63050600975175384, 'n': 1, 'trace_an': 6}
-
id: 60271874
{'hecke_orbit_code': 63050600975175384, 'n': 2, 'trace_an': 0}
-
id: 60271875
{'hecke_orbit_code': 63050600975175384, 'n': 3, 'trace_an': 0}
-
id: 60271876
{'hecke_orbit_code': 63050600975175384, 'n': 4, 'trace_an': 0}
-
id: 60271877
{'hecke_orbit_code': 63050600975175384, 'n': 5, 'trace_an': 0}
-
id: 60271878
{'hecke_orbit_code': 63050600975175384, 'n': 6, 'trace_an': 0}
-
id: 60271879
{'hecke_orbit_code': 63050600975175384, 'n': 7, 'trace_an': 0}
-
id: 60271880
{'hecke_orbit_code': 63050600975175384, 'n': 8, 'trace_an': 0}
-
id: 60271881
{'hecke_orbit_code': 63050600975175384, 'n': 9, 'trace_an': 6}
-
id: 60271882
{'hecke_orbit_code': 63050600975175384, 'n': 10, 'trace_an': 0}
-
id: 60271883
{'hecke_orbit_code': 63050600975175384, 'n': 11, 'trace_an': -6}
-
id: 60271884
{'hecke_orbit_code': 63050600975175384, 'n': 12, 'trace_an': 0}
-
id: 60271885
{'hecke_orbit_code': 63050600975175384, 'n': 13, 'trace_an': 0}
-
id: 60271886
{'hecke_orbit_code': 63050600975175384, 'n': 14, 'trace_an': 0}
-
id: 60271887
{'hecke_orbit_code': 63050600975175384, 'n': 15, 'trace_an': 0}
-
id: 60271888
{'hecke_orbit_code': 63050600975175384, 'n': 16, 'trace_an': 0}
-
id: 60271889
{'hecke_orbit_code': 63050600975175384, 'n': 17, 'trace_an': 0}
-
id: 60271890
{'hecke_orbit_code': 63050600975175384, 'n': 18, 'trace_an': 0}
-
id: 60271891
{'hecke_orbit_code': 63050600975175384, 'n': 19, 'trace_an': -6}
-
id: 60271892
{'hecke_orbit_code': 63050600975175384, 'n': 20, 'trace_an': 0}
-
id: 60271893
{'hecke_orbit_code': 63050600975175384, 'n': 21, 'trace_an': 0}
-
id: 60271894
{'hecke_orbit_code': 63050600975175384, 'n': 22, 'trace_an': 0}
-
id: 60271895
{'hecke_orbit_code': 63050600975175384, 'n': 23, 'trace_an': 0}
-
id: 60271896
{'hecke_orbit_code': 63050600975175384, 'n': 24, 'trace_an': 0}
-
id: 60271897
{'hecke_orbit_code': 63050600975175384, 'n': 25, 'trace_an': 0}
-
id: 60271898
{'hecke_orbit_code': 63050600975175384, 'n': 26, 'trace_an': 0}
-
id: 60271899
{'hecke_orbit_code': 63050600975175384, 'n': 27, 'trace_an': 0}
-
id: 60271900
{'hecke_orbit_code': 63050600975175384, 'n': 28, 'trace_an': 0}
-
id: 60271901
{'hecke_orbit_code': 63050600975175384, 'n': 29, 'trace_an': 6}
-
id: 60271902
{'hecke_orbit_code': 63050600975175384, 'n': 30, 'trace_an': 0}
-
id: 60271903
{'hecke_orbit_code': 63050600975175384, 'n': 31, 'trace_an': -30}
-
id: 60271904
{'hecke_orbit_code': 63050600975175384, 'n': 32, 'trace_an': 0}
-
id: 60271905
{'hecke_orbit_code': 63050600975175384, 'n': 33, 'trace_an': 0}
-
id: 60271906
{'hecke_orbit_code': 63050600975175384, 'n': 34, 'trace_an': 0}
-
id: 60271907
{'hecke_orbit_code': 63050600975175384, 'n': 35, 'trace_an': 0}
-
id: 60271908
{'hecke_orbit_code': 63050600975175384, 'n': 36, 'trace_an': 0}
-
id: 60271909
{'hecke_orbit_code': 63050600975175384, 'n': 37, 'trace_an': 0}
-
id: 60271910
{'hecke_orbit_code': 63050600975175384, 'n': 38, 'trace_an': 0}
-
id: 60271911
{'hecke_orbit_code': 63050600975175384, 'n': 39, 'trace_an': -6}
-
id: 60271912
{'hecke_orbit_code': 63050600975175384, 'n': 40, 'trace_an': 0}
-
id: 60271913
{'hecke_orbit_code': 63050600975175384, 'n': 41, 'trace_an': -18}
-
id: 60271914
{'hecke_orbit_code': 63050600975175384, 'n': 42, 'trace_an': 0}
-
id: 60271915
{'hecke_orbit_code': 63050600975175384, 'n': 43, 'trace_an': 0}
-
id: 60271916
{'hecke_orbit_code': 63050600975175384, 'n': 44, 'trace_an': 0}
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id: 60271917
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