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mf_newforms • Show schema
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{'Nk2': 3264, 'analytic_conductor': 6.5157928049364795, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 204, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 4, 'char_parity': 1, 'char_values': [816, 4, [511, 613, 545, 241], [2, 4, 2, 1]], 'cm_discs': [], 'conrey_index': 47, 'dim': 8, 'field_disc': 12960000, 'field_disc_factorization': [[2, 8], [3, 4], [5, 4]], 'field_poly': [1, 0, -3, 0, 8, 0, -3, 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': [[5, [36, 0, 0, 0, 1]], [11, [2, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9009329592075056, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 12, 2, 1, 2, 0], [1, 1, 17, 3, 1, 4, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3264, 'analytic_conductor': 6.5157928049364795, 'char_conductor': 204, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 4, 'char_parity': 1, 'char_values': [816, 4, [511, 613, 545, 241], [2, 4, 2, 1]], 'conrey_index': 47, 'cusp_dim': 264, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 2130337334064, 'hecke_orbit_dims': [8, 8, 8, 24, 24], 'label': '816.2.bf', 'level': 816, '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, 17], 'level_radical': 102, 'mf_dim': 312, 'mf_new_dim': 72, 'num_forms': 5, 'prim_orbit_index': 12, 'relative_dim': 36, 'sturm_bound': 288, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -552, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -336, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41889993
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 191, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9009329592075056, 'source_is_minimal': True, 'source_label': '816.2.bf.c.191.4', 'source_level': 816, 'target_conrey_index': 191, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9009329592075056, 'target_is_minimal': True, 'target_label': '816.2.bf.c.191.4', 'target_level': 816, 'twist_class_label': '816.2.bf.a.47.2', 'twist_class_level': 816, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41889994
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 191, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9009329592075056, 'source_is_minimal': True, 'source_label': '816.2.bf.c.191.4', 'source_level': 816, 'target_conrey_index': 191, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 2130337334064, 'target_is_minimal': True, 'target_label': '816.2.bf.a.191.3', 'target_level': 816, 'twist_class_label': '816.2.bf.a.47.2', 'twist_class_level': 816, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41889995
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 191, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9009329592075056, 'source_is_minimal': True, 'source_label': '816.2.bf.c.191.4', 'source_level': 816, 'target_conrey_index': 191, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334064, 'target_is_minimal': True, 'target_label': '816.2.bf.a.191.2', 'target_level': 816, 'twist_class_label': '816.2.bf.a.47.2', 'twist_class_level': 816, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41889996
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 191, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9009329592075056, 'source_is_minimal': True, 'source_label': '816.2.bf.c.191.4', 'source_level': 816, 'target_conrey_index': 191, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009329592075056, 'target_is_minimal': True, 'target_label': '816.2.bf.c.191.1', 'target_level': 816, 'twist_class_label': '816.2.bf.a.47.2', 'twist_class_level': 816, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41889997
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 191, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9009329592075056, 'source_is_minimal': True, 'source_label': '816.2.bf.c.191.4', 'source_level': 816, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009329592075056, 'target_is_minimal': True, 'target_label': '816.2.bf.c.47.1', 'target_level': 816, 'twist_class_label': '816.2.bf.a.47.2', 'twist_class_level': 816, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 41889998
{'conductor': 51, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 191, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9009329592075056, 'source_is_minimal': True, 'source_label': '816.2.bf.c.191.4', 'source_level': 816, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334064, 'target_is_minimal': True, 'target_label': '816.2.bf.a.47.2', 'target_level': 816, 'twist_class_label': '816.2.bf.a.47.2', 'twist_class_level': 816, 'twisting_char_label': '51.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 41889999
{'conductor': 68, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 191, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9009329592075056, 'source_is_minimal': True, 'source_label': '816.2.bf.c.191.4', 'source_level': 816, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 2130337334064, 'target_is_minimal': True, 'target_label': '816.2.bf.a.47.3', 'target_level': 816, 'twist_class_label': '816.2.bf.a.47.2', 'twist_class_level': 816, 'twisting_char_label': '68.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 41890000
{'conductor': 204, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 191, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9009329592075056, 'source_is_minimal': True, 'source_label': '816.2.bf.c.191.4', 'source_level': 816, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9009329592075056, 'target_is_minimal': True, 'target_label': '816.2.bf.c.47.4', 'target_level': 816, 'twist_class_label': '816.2.bf.a.47.2', 'twist_class_level': 816, 'twisting_char_label': '204.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1363775
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009329592075056, 'p': 2}
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id: 1363776
{'charpoly_factorization': [[[9, -6, 2, -2, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 3}
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id: 1363777
{'charpoly_factorization': [[[36, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 5}
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id: 1363778
{'charpoly_factorization': [[[36, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 7}
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id: 1363779
{'charpoly_factorization': [[[2, 2, 1], 4]], 'hecke_orbit_code': 9009329592075056, 'p': 11}
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id: 1363780
{'charpoly_factorization': [[[2, 1], 8]], 'hecke_orbit_code': 9009329592075056, 'p': 13}
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id: 1363781
{'charpoly_factorization': [[[289, 0, 14, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 17}
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id: 1363782
{'charpoly_factorization': [[[64, 0, -64, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 19}
-
id: 1363783
{'charpoly_factorization': [[[484, -176, 32, 8, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 23}
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id: 1363784
{'charpoly_factorization': [[[1336336, 0, 0, 0, 6152, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009329592075056, 'p': 29}
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id: 1363785
{'charpoly_factorization': [[[1336336, 0, 0, 0, 6152, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009329592075056, 'p': 31}
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id: 1363786
{'charpoly_factorization': [[[900, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 37}
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id: 1363787
{'charpoly_factorization': [[[8100, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 41}
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id: 1363788
{'charpoly_factorization': [[[64, 0, -64, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 43}
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id: 1363789
{'charpoly_factorization': [[[4, 1], 8]], 'hecke_orbit_code': 9009329592075056, 'p': 47}
-
id: 1363790
{'charpoly_factorization': [[[784, 0, -136, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 53}
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id: 1363791
{'charpoly_factorization': [[[1936, 0, 152, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 59}
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id: 1363792
{'charpoly_factorization': [[[4, -32, 128, -16, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 61}
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id: 1363793
{'charpoly_factorization': [[[12, 0, 1], 4]], 'hecke_orbit_code': 9009329592075056, 'p': 67}
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id: 1363794
{'charpoly_factorization': [[[484, -176, 32, 8, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 71}
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id: 1363795
{'charpoly_factorization': [[[10404, 1224, 72, -12, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 73}
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id: 1363796
{'charpoly_factorization': [[[1336336, 0, 0, 0, 6152, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009329592075056, 'p': 79}
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id: 1363797
{'charpoly_factorization': [[[1936, 0, 152, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 83}
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id: 1363798
{'charpoly_factorization': [[[1024, 0, 256, 0, 1], 2]], 'hecke_orbit_code': 9009329592075056, 'p': 89}
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id: 1363799
{'charpoly_factorization': [[[18, 6, 1], 4]], 'hecke_orbit_code': 9009329592075056, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 32, 'hecke_orbit': 3, 'label': '816.2.bf.c', 'level': 816, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 32136457
{'hecke_orbit_code': 9009329592075056, 'n': 1, 'trace_an': 8}
-
id: 32136458
{'hecke_orbit_code': 9009329592075056, 'n': 2, 'trace_an': 0}
-
id: 32136459
{'hecke_orbit_code': 9009329592075056, 'n': 3, 'trace_an': 4}
-
id: 32136460
{'hecke_orbit_code': 9009329592075056, 'n': 4, 'trace_an': 0}
-
id: 32136461
{'hecke_orbit_code': 9009329592075056, 'n': 5, 'trace_an': 0}
-
id: 32136462
{'hecke_orbit_code': 9009329592075056, 'n': 6, 'trace_an': 0}
-
id: 32136463
{'hecke_orbit_code': 9009329592075056, 'n': 7, 'trace_an': 0}
-
id: 32136464
{'hecke_orbit_code': 9009329592075056, 'n': 8, 'trace_an': 0}
-
id: 32136465
{'hecke_orbit_code': 9009329592075056, 'n': 9, 'trace_an': 0}
-
id: 32136466
{'hecke_orbit_code': 9009329592075056, 'n': 10, 'trace_an': 0}
-
id: 32136467
{'hecke_orbit_code': 9009329592075056, 'n': 11, 'trace_an': -8}
-
id: 32136468
{'hecke_orbit_code': 9009329592075056, 'n': 12, 'trace_an': 0}
-
id: 32136469
{'hecke_orbit_code': 9009329592075056, 'n': 13, 'trace_an': -16}
-
id: 32136470
{'hecke_orbit_code': 9009329592075056, 'n': 14, 'trace_an': 0}
-
id: 32136471
{'hecke_orbit_code': 9009329592075056, 'n': 15, 'trace_an': 0}
-
id: 32136472
{'hecke_orbit_code': 9009329592075056, 'n': 16, 'trace_an': 0}
-
id: 32136473
{'hecke_orbit_code': 9009329592075056, 'n': 17, 'trace_an': 0}
-
id: 32136474
{'hecke_orbit_code': 9009329592075056, 'n': 18, 'trace_an': 0}
-
id: 32136475
{'hecke_orbit_code': 9009329592075056, 'n': 19, 'trace_an': 0}
-
id: 32136476
{'hecke_orbit_code': 9009329592075056, 'n': 20, 'trace_an': 0}
-
id: 32136477
{'hecke_orbit_code': 9009329592075056, 'n': 21, 'trace_an': 0}
-
id: 32136478
{'hecke_orbit_code': 9009329592075056, 'n': 22, 'trace_an': 0}
-
id: 32136479
{'hecke_orbit_code': 9009329592075056, 'n': 23, 'trace_an': -16}
-
id: 32136480
{'hecke_orbit_code': 9009329592075056, 'n': 24, 'trace_an': 0}
-
id: 32136481
{'hecke_orbit_code': 9009329592075056, 'n': 25, 'trace_an': 0}
-
id: 32136482
{'hecke_orbit_code': 9009329592075056, 'n': 26, 'trace_an': 0}
-
id: 32136483
{'hecke_orbit_code': 9009329592075056, 'n': 27, 'trace_an': 28}
-
id: 32136484
{'hecke_orbit_code': 9009329592075056, 'n': 28, 'trace_an': 0}
-
id: 32136485
{'hecke_orbit_code': 9009329592075056, 'n': 29, 'trace_an': 0}
-
id: 32136486
{'hecke_orbit_code': 9009329592075056, 'n': 30, 'trace_an': 0}
-
id: 32136487
{'hecke_orbit_code': 9009329592075056, 'n': 31, 'trace_an': 0}
-
id: 32136488
{'hecke_orbit_code': 9009329592075056, 'n': 32, 'trace_an': 0}
-
id: 32136489
{'hecke_orbit_code': 9009329592075056, 'n': 33, 'trace_an': -8}
-
id: 32136490
{'hecke_orbit_code': 9009329592075056, 'n': 34, 'trace_an': 0}
-
id: 32136491
{'hecke_orbit_code': 9009329592075056, 'n': 35, 'trace_an': -48}
-
id: 32136492
{'hecke_orbit_code': 9009329592075056, 'n': 36, 'trace_an': 0}
-
id: 32136493
{'hecke_orbit_code': 9009329592075056, 'n': 37, 'trace_an': 0}
-
id: 32136494
{'hecke_orbit_code': 9009329592075056, 'n': 38, 'trace_an': 0}
-
id: 32136495
{'hecke_orbit_code': 9009329592075056, 'n': 39, 'trace_an': -8}
-
id: 32136496
{'hecke_orbit_code': 9009329592075056, 'n': 40, 'trace_an': 0}
-
id: 32136497
{'hecke_orbit_code': 9009329592075056, 'n': 41, 'trace_an': 0}
-
id: 32136498
{'hecke_orbit_code': 9009329592075056, 'n': 42, 'trace_an': 0}
-
id: 32136499
{'hecke_orbit_code': 9009329592075056, 'n': 43, 'trace_an': 0}
-
id: 32136500
{'hecke_orbit_code': 9009329592075056, 'n': 44, 'trace_an': 0}
-
id: 32136501
{'hecke_orbit_code': 9009329592075056, 'n': 45, 'trace_an': 0}
-
id: 32136502
{'hecke_orbit_code': 9009329592075056, 'n': 46, 'trace_an': 0}
-
id: 32136503
{'hecke_orbit_code': 9009329592075056, 'n': 47, 'trace_an': -32}
-
id: 32136504
{'hecke_orbit_code': 9009329592075056, 'n': 48, 'trace_an': 0}
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id: 32136505
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id: 32136705
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id: 32136706
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id: 32136707
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id: 32136709
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id: 32136710
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id: 32136713
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id: 32136714
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