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mf_newforms • Show schema
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{'Nk2': 4864, 'analytic_conductor': 9.709808885787695, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1216, 2, [191, 837, 705], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 609, 'dim': 8, 'field_disc': 2702336256, 'field_disc_factorization': [[2, 8], [3, 4], [19, 4]], 'field_poly': [625, 0, 225, 0, 56, 0, 9, 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, [0, 1]], [5, [16, 0, 11, 0, 1]], [7, [4, 0, -23, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028934491473088, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0], [1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4864, 'analytic_conductor': 9.709808885787695, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1216, 2, [191, 837, 705], [2, 1, 2]], 'conrey_index': 609, 'cusp_dim': 148, 'dim': 36, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 137472509120, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 8, 8], 'label': '1216.2.c', 'level': 1216, '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, 19], 'level_radical': 38, 'mf_dim': 172, 'mf_new_dim': 36, 'num_forms': 9, 'prim_orbit_index': 2, 'relative_dim': 36, 'sturm_bound': 320, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 36, 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, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46606757
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 609, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028934491473088, 'source_is_minimal': True, 'source_label': '1216.2.c.i.609.1', 'source_level': 1216, 'target_conrey_index': 609, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491473088, 'target_is_minimal': True, 'target_label': '1216.2.c.i.609.1', 'target_level': 1216, 'twist_class_label': '1216.2.c.i.609.1', 'twist_class_level': 1216, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46606758
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 609, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028934491473088, 'source_is_minimal': True, 'source_label': '1216.2.c.i.609.1', 'source_level': 1216, 'target_conrey_index': 609, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028934491473088, 'target_is_minimal': True, 'target_label': '1216.2.c.i.609.2', 'target_level': 1216, 'twist_class_label': '1216.2.c.i.609.1', 'twist_class_level': 1216, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46606759
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 609, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028934491473088, 'source_is_minimal': True, 'source_label': '1216.2.c.i.609.1', 'source_level': 1216, 'target_conrey_index': 609, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 36028934491473088, 'target_is_minimal': True, 'target_label': '1216.2.c.i.609.8', 'target_level': 1216, 'twist_class_label': '1216.2.c.i.609.1', 'twist_class_level': 1216, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46606760
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 609, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028934491473088, 'source_is_minimal': True, 'source_label': '1216.2.c.i.609.1', 'source_level': 1216, 'target_conrey_index': 609, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 36028934491473088, 'target_is_minimal': True, 'target_label': '1216.2.c.i.609.7', 'target_level': 1216, 'twist_class_label': '1216.2.c.i.609.1', 'twist_class_level': 1216, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46606761
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 609, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028934491473088, 'source_is_minimal': True, 'source_label': '1216.2.c.i.609.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618897152, 'target_is_minimal': False, 'target_label': '4864.2.a.bk.1.1', 'target_level': 4864, 'twist_class_label': '1216.2.c.i.609.1', 'twist_class_level': 1216, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46606762
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 609, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028934491473088, 'source_is_minimal': True, 'source_label': '1216.2.c.i.609.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 162129586618897152, 'target_is_minimal': False, 'target_label': '4864.2.a.bk.1.4', 'target_level': 4864, 'twist_class_label': '1216.2.c.i.609.1', 'twist_class_level': 1216, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46606763
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 609, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028934491473088, 'source_is_minimal': True, 'source_label': '1216.2.c.i.609.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 157625986991526656, 'target_is_minimal': False, 'target_label': '4864.2.a.bj.1.4', 'target_level': 4864, 'twist_class_label': '1216.2.c.i.609.1', 'twist_class_level': 1216, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46606764
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 609, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028934491473088, 'source_is_minimal': True, 'source_label': '1216.2.c.i.609.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991526656, 'target_is_minimal': False, 'target_label': '4864.2.a.bj.1.1', 'target_level': 4864, 'twist_class_label': '1216.2.c.i.609.1', 'twist_class_level': 1216, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1774950
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36028934491473088, 'p': 2}
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id: 1774951
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36028934491473088, 'p': 3}
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id: 1774952
{'charpoly_factorization': [[[16, 0, 11, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 5}
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id: 1774953
{'charpoly_factorization': [[[4, 0, -23, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 7}
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id: 1774954
{'charpoly_factorization': [[[144, 0, 33, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 11}
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id: 1774955
{'charpoly_factorization': [[[256, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 13}
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id: 1774956
{'charpoly_factorization': [[[-14, 1, 1], 4]], 'hecke_orbit_code': 36028934491473088, 'p': 17}
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id: 1774957
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 36028934491473088, 'p': 19}
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id: 1774958
{'charpoly_factorization': [[[-12, 0, 1], 4]], 'hecke_orbit_code': 36028934491473088, 'p': 23}
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id: 1774959
{'charpoly_factorization': [[[256, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 29}
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id: 1774960
{'charpoly_factorization': [[[256, 0, -44, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 31}
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id: 1774961
{'charpoly_factorization': [[[64, 0, 92, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 37}
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id: 1774962
{'charpoly_factorization': [[[-48, 6, 1], 4]], 'hecke_orbit_code': 36028934491473088, 'p': 41}
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id: 1774963
{'charpoly_factorization': [[[784, 0, 113, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 43}
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id: 1774964
{'charpoly_factorization': [[[4, 0, -23, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 47}
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id: 1774965
{'charpoly_factorization': [[[108, 0, 1], 4]], 'hecke_orbit_code': 36028934491473088, 'p': 53}
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id: 1774966
{'charpoly_factorization': [[[3136, 0, 116, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 59}
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id: 1774967
{'charpoly_factorization': [[[16, 0, 11, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 61}
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id: 1774968
{'charpoly_factorization': [[[3136, 0, 116, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 67}
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id: 1774969
{'charpoly_factorization': [[[28224, 0, -348, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 71}
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id: 1774970
{'charpoly_factorization': [[[-14, -1, 1], 4]], 'hecke_orbit_code': 36028934491473088, 'p': 73}
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id: 1774971
{'charpoly_factorization': [[[3136, 0, -188, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 79}
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id: 1774972
{'charpoly_factorization': [[[50176, 0, 464, 0, 1], 2]], 'hecke_orbit_code': 36028934491473088, 'p': 83}
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id: 1774973
{'charpoly_factorization': [[[10, 1], 8]], 'hecke_orbit_code': 36028934491473088, 'p': 89}
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id: 1774974
{'charpoly_factorization': [[[24, -18, 1], 4]], 'hecke_orbit_code': 36028934491473088, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 9, 'label': '1216.2.c.i', 'level': 1216, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 51940279
{'hecke_orbit_code': 36028934491473088, 'n': 1, 'trace_an': 8}
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id: 51940280
{'hecke_orbit_code': 36028934491473088, 'n': 2, 'trace_an': 0}
-
id: 51940281
{'hecke_orbit_code': 36028934491473088, 'n': 3, 'trace_an': 0}
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id: 51940282
{'hecke_orbit_code': 36028934491473088, 'n': 4, 'trace_an': 0}
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id: 51940283
{'hecke_orbit_code': 36028934491473088, 'n': 5, 'trace_an': 0}
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id: 51940284
{'hecke_orbit_code': 36028934491473088, 'n': 6, 'trace_an': 0}
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id: 51940285
{'hecke_orbit_code': 36028934491473088, 'n': 7, 'trace_an': 0}
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id: 51940286
{'hecke_orbit_code': 36028934491473088, 'n': 8, 'trace_an': 0}
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id: 51940287
{'hecke_orbit_code': 36028934491473088, 'n': 9, 'trace_an': 24}
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id: 51940288
{'hecke_orbit_code': 36028934491473088, 'n': 10, 'trace_an': 0}
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id: 51940289
{'hecke_orbit_code': 36028934491473088, 'n': 11, 'trace_an': 0}
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id: 51940290
{'hecke_orbit_code': 36028934491473088, 'n': 12, 'trace_an': 0}
-
id: 51940291
{'hecke_orbit_code': 36028934491473088, 'n': 13, 'trace_an': 0}
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id: 51940292
{'hecke_orbit_code': 36028934491473088, 'n': 14, 'trace_an': 0}
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id: 51940293
{'hecke_orbit_code': 36028934491473088, 'n': 15, 'trace_an': 0}
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id: 51940294
{'hecke_orbit_code': 36028934491473088, 'n': 16, 'trace_an': 0}
-
id: 51940295
{'hecke_orbit_code': 36028934491473088, 'n': 17, 'trace_an': -4}
-
id: 51940296
{'hecke_orbit_code': 36028934491473088, 'n': 18, 'trace_an': 0}
-
id: 51940297
{'hecke_orbit_code': 36028934491473088, 'n': 19, 'trace_an': 0}
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