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mf_newforms • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [1134, 6, [407, 325], [5, 5]], 'cm_discs': [], 'conrey_index': 215, 'conrey_indexes': [215, 269], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [36, 0, 6, 0, 1]], [11, [324, 0, -18, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015154457281646, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 36, 'hecke_ring_index_factorization': [[2, 2], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 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mf_hecke_cc • Show schema
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8, 'embedding_root_imag': 0.9659258262890683, 'embedding_root_real': -0.25881904510252074, 'hecke_orbit': 5, 'hecke_orbit_code': 18015154457281646, 'label': '1134.2.l.e.269.4', 'level': 1134, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [1134, 6, [407, 325], [5, 5]], 'conrey_index': 215, 'cusp_dim': 384, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 755947799662, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 16, 16], 'label': '1134.2.l', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 480, 'mf_new_dim': 64, 'num_forms': 8, 'prim_orbit_index': 9, 'relative_dim': 32, 'sturm_bound': 432, 'trace_bound': 11, 'trace_display': [0, 0, 0, -10], 'traces': [64, 0, 0, -64, 0, 0, -10, 0, 0, 0, 0, 0, -30, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, -12, 0, 0, 22, 0, 0, 30, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 44480741
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015154457281646, 'target_is_minimal': False, 'target_label': '1134.2.l.e.269.4', 'target_level': 1134, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44480742
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015154457281646, 'target_is_minimal': False, 'target_label': '1134.2.l.e.269.1', 'target_level': 1134, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44480743
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 593, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22519303840466030, 'target_is_minimal': False, 'target_label': '1134.2.t.f.593.4', 'target_level': 1134, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44480744
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110433658, 'target_is_minimal': True, 'target_label': '378.2.k.d.269.1', 'target_level': 378, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44480745
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519303840466030, 'target_is_minimal': False, 'target_label': '1134.2.t.f.1025.1', 'target_level': 1134, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44480746
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22519303840466030, 'target_is_minimal': False, 'target_label': '1134.2.t.f.1025.4', 'target_level': 1134, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44480747
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511486110433658, 'target_is_minimal': True, 'target_label': '378.2.k.d.269.4', 'target_level': 378, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44480748
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 593, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519303840466030, 'target_is_minimal': False, 'target_label': '1134.2.t.f.593.1', 'target_level': 1134, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44480749
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 215, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015154457281646, 'target_is_minimal': False, 'target_label': '1134.2.l.e.215.2', 'target_level': 1134, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44480750
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 2645, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511005074098774, 'target_is_minimal': False, 'target_label': '2646.2.d.d.2645.4', 'target_level': 2646, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44480751
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 2645, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511005074098774, 'target_is_minimal': False, 'target_label': '2646.2.d.d.2645.5', 'target_level': 2646, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 44480752
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 2645, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074098774, 'target_is_minimal': False, 'target_label': '2646.2.d.d.2645.2', 'target_level': 2646, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '63.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 44480753
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 215, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015154457281646, 'target_is_minimal': False, 'target_label': '1134.2.l.e.215.3', 'target_level': 1134, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 44480754
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 215, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511486110433658, 'target_is_minimal': True, 'target_label': '378.2.k.d.215.4', 'target_level': 378, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 44480755
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 2645, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13511005074098774, 'target_is_minimal': False, 'target_label': '2646.2.d.d.2645.7', 'target_level': 2646, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 44480756
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 18015154457281646, 'source_is_minimal': False, 'source_label': '1134.2.l.e.269.4', 'source_level': 1134, 'target_conrey_index': 215, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110433658, 'target_is_minimal': True, 'target_label': '378.2.k.d.215.1', 'target_level': 378, 'twist_class_label': '378.2.k.d.215.1', 'twist_class_level': 378, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1711000
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 18015154457281646, 'p': 2}
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id: 1711001
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18015154457281646, 'p': 3}
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id: 1711002
{'charpoly_factorization': [[[36, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 5}
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id: 1711003
{'charpoly_factorization': [[[49, -14, -3, -2, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 7}
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id: 1711004
{'charpoly_factorization': [[[324, 0, -18, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 11}
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id: 1711005
{'charpoly_factorization': [[[9, 18, 9, -6, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 13}
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id: 1711006
{'charpoly_factorization': [[[36, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 17}
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id: 1711007
{'charpoly_factorization': [[[576, 0, -24, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 19}
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id: 1711008
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 23}
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id: 1711009
{'charpoly_factorization': [[[104976, 0, -34992, 0, 11340, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 18015154457281646, 'p': 29}
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id: 1711010
{'charpoly_factorization': [[[2601, 0, 114, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 31}
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id: 1711011
{'charpoly_factorization': [[[289, -34, 21, 2, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 37}
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id: 1711012
{'charpoly_factorization': [[[36, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 41}
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id: 1711013
{'charpoly_factorization': [[[49, 7, 1], 4]], 'hecke_orbit_code': 18015154457281646, 'p': 43}
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id: 1711014
{'charpoly_factorization': [[[10404, 0, -228, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 47}
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id: 1711015
{'charpoly_factorization': [[[1679616, 0, -279936, 0, 45360, 0, -216, 0, 1], 1]], 'hecke_orbit_code': 18015154457281646, 'p': 53}
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id: 1711016
{'charpoly_factorization': [[[-6, 0, 1], 4]], 'hecke_orbit_code': 18015154457281646, 'p': 59}
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id: 1711017
{'charpoly_factorization': [[[9, 0, 18, 0, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 61}
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id: 1711018
{'charpoly_factorization': [[[-47, -10, 1], 4]], 'hecke_orbit_code': 18015154457281646, 'p': 67}
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id: 1711019
{'charpoly_factorization': [[[162, 0, 1], 4]], 'hecke_orbit_code': 18015154457281646, 'p': 71}
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id: 1711020
{'charpoly_factorization': [[[7056, 3024, 516, 36, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 73}
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id: 1711021
{'charpoly_factorization': [[[7, -10, 1], 4]], 'hecke_orbit_code': 18015154457281646, 'p': 79}
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id: 1711022
{'charpoly_factorization': [[[49787136, 0, 1862784, 0, 62640, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 18015154457281646, 'p': 83}
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id: 1711023
{'charpoly_factorization': [[[8503056, 0, 944784, 0, 102060, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 18015154457281646, 'p': 89}
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id: 1711024
{'charpoly_factorization': [[[441, 126, -9, -6, 1], 2]], 'hecke_orbit_code': 18015154457281646, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 5, 'label': '1134.2.l.e', 'level': 1134, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 160287000
{'hecke_orbit_code': 18015154457281646, 'n': 1, 'trace_an': 8}
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id: 160287001
{'hecke_orbit_code': 18015154457281646, 'n': 2, 'trace_an': 0}
-
id: 160287002
{'hecke_orbit_code': 18015154457281646, 'n': 3, 'trace_an': 0}
-
id: 160287003
{'hecke_orbit_code': 18015154457281646, 'n': 4, 'trace_an': -8}
-
id: 160287004
{'hecke_orbit_code': 18015154457281646, 'n': 5, 'trace_an': 0}
-
id: 160287005
{'hecke_orbit_code': 18015154457281646, 'n': 6, 'trace_an': 0}
-
id: 160287006
{'hecke_orbit_code': 18015154457281646, 'n': 7, 'trace_an': 4}
-
id: 160287007
{'hecke_orbit_code': 18015154457281646, 'n': 8, 'trace_an': 0}
-
id: 160287008
{'hecke_orbit_code': 18015154457281646, 'n': 9, 'trace_an': 0}
-
id: 160287009
{'hecke_orbit_code': 18015154457281646, 'n': 10, 'trace_an': 0}
-
id: 160287010
{'hecke_orbit_code': 18015154457281646, 'n': 11, 'trace_an': 0}
-
id: 160287011
{'hecke_orbit_code': 18015154457281646, 'n': 12, 'trace_an': 0}
-
id: 160287012
{'hecke_orbit_code': 18015154457281646, 'n': 13, 'trace_an': 12}
-
id: 160287013
{'hecke_orbit_code': 18015154457281646, 'n': 14, 'trace_an': 0}
-
id: 160287014
{'hecke_orbit_code': 18015154457281646, 'n': 15, 'trace_an': 0}
-
id: 160287015
{'hecke_orbit_code': 18015154457281646, 'n': 16, 'trace_an': 8}
-
id: 160287016
{'hecke_orbit_code': 18015154457281646, 'n': 17, 'trace_an': 0}
-
id: 160287017
{'hecke_orbit_code': 18015154457281646, 'n': 18, 'trace_an': 0}
-
id: 160287018
{'hecke_orbit_code': 18015154457281646, 'n': 19, 'trace_an': 0}
-
id: 160287019
{'hecke_orbit_code': 18015154457281646, 'n': 20, 'trace_an': 0}
-
id: 160287020
{'hecke_orbit_code': 18015154457281646, 'n': 21, 'trace_an': 0}
-
id: 160287021
{'hecke_orbit_code': 18015154457281646, 'n': 22, 'trace_an': 0}
-
id: 160287022
{'hecke_orbit_code': 18015154457281646, 'n': 23, 'trace_an': 0}
-
id: 160287023
{'hecke_orbit_code': 18015154457281646, 'n': 24, 'trace_an': 0}
-
id: 160287024
{'hecke_orbit_code': 18015154457281646, 'n': 25, 'trace_an': -4}
-
id: 160287025
{'hecke_orbit_code': 18015154457281646, 'n': 26, 'trace_an': 0}
-
id: 160287026
{'hecke_orbit_code': 18015154457281646, 'n': 27, 'trace_an': 0}
-
id: 160287027
{'hecke_orbit_code': 18015154457281646, 'n': 28, 'trace_an': -4}
-
id: 160287028
{'hecke_orbit_code': 18015154457281646, 'n': 29, 'trace_an': 0}
-
id: 160287029
{'hecke_orbit_code': 18015154457281646, 'n': 30, 'trace_an': 0}
-
id: 160287030
{'hecke_orbit_code': 18015154457281646, 'n': 31, 'trace_an': 0}
-
id: 160287031
{'hecke_orbit_code': 18015154457281646, 'n': 32, 'trace_an': 0}
-
id: 160287032
{'hecke_orbit_code': 18015154457281646, 'n': 33, 'trace_an': 0}
-
id: 160287033
{'hecke_orbit_code': 18015154457281646, 'n': 34, 'trace_an': 0}
-
id: 160287034
{'hecke_orbit_code': 18015154457281646, 'n': 35, 'trace_an': 0}
-
id: 160287035
{'hecke_orbit_code': 18015154457281646, 'n': 36, 'trace_an': 0}
-
id: 160287036
{'hecke_orbit_code': 18015154457281646, 'n': 37, 'trace_an': -4}
-
id: 160287037
{'hecke_orbit_code': 18015154457281646, 'n': 38, 'trace_an': 0}
-
id: 160287038
{'hecke_orbit_code': 18015154457281646, 'n': 39, 'trace_an': 0}
-
id: 160287039
{'hecke_orbit_code': 18015154457281646, 'n': 40, 'trace_an': 0}
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