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mf_newforms • Show schema
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{'Nk2': 1664, 'analytic_conductor': 3.321776724085264, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [416, 4, [287, 261, 353], [2, 4, 3]], 'cm_discs': [], 'conrey_index': 31, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 0, 1]], [7, [2, 2, 1]], [11, [18, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687228322208, 'hecke_ring_generator_nbound': 5, '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, 52, 6, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1664, 'analytic_conductor': 3.321776724085264, 'char_conductor': 52, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [416, 4, [287, 261, 353], [2, 4, 3]], 'conrey_index': 31, 'cusp_dim': 96, 'dim': 28, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 687228322208, 'hecke_orbit_dims': [2, 2, 4, 4, 8, 8], 'label': '416.2.k', 'level': 416, '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, 13], 'level_radical': 26, 'mf_dim': 128, 'mf_new_dim': 28, 'num_forms': 6, 'prim_orbit_index': 6, 'relative_dim': 14, 'sturm_bound': 112, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [28, 0, 0, 0, -4, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -28, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 16, 0, 0, 0, 24, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -24, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 44, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 60, 0, 0, 0, 48, 0, 0, 0, 80, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 16, 0, 0, 0, -192, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 192, 0, 0, 0, 76, 0, 0, 0, 36, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -108, 0, 0, 0, -12, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -24, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, -172, 0, 0, 0, -80, 0, 0, 0, -192, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -100, 0, 0, 0, -128, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 240, 0, 0, 0, -180, 0, 0, 0, -4, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 204, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 92, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 84, 0, 0, 0, -24, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -156, 0, 0, 0, 176, 0, 0, 0, -84, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, -208, 0, 0, 0, 8, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -240, 0, 0, 0, -112, 0, 0, 0, 124, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -80, 0, 0, 0, -100, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 192, 0, 0, 0, 124, 0, 0, 0, 176, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 100, 0, 0, 0, -80, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 484, 0, 0, 0, 112, 0, 0, 0, 196, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, 0, 280, 0, 0, 0, 208, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, -460, 0, 0, 0, 164, 0, 0, 0, 48, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, -240, 0, 0, 0, -72, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -592, 0, 0, 0, -212, 0, 0, 0, -32, 0, 0, 0, -432, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -268, 0, 0, 0, -332, 0, 0, 0, 176, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 332, 0, 0, 0, -488, 0, 0, 0, 84, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 256, 0, 0, 0, 256, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 496, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 224, 0, 0, 0, 20, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -384, 0, 0, 0, -48, 0, 0, 0, -204, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, -80, 0, 0, 0, -208, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -432, 0, 0, 0, -80, 0, 0, 0, 172, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, -472, 0, 0, 0, -236, 0, 0, 0, 112, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -520, 0, 0, 0, 544, 0, 0, 0, 80, 0, 0, 0, 76, 0, 0, 0, -476, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 32, 0, 0, 0, -88, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 7846061
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322208, 'source_is_minimal': True, 'source_label': '416.2.k.a.31.1', 'source_level': 416, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322208, 'target_is_minimal': True, 'target_label': '416.2.k.a.31.1', 'target_level': 416, 'twist_class_label': '416.2.k.a.31.1', 'twist_class_level': 416, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 7846062
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322208, 'source_is_minimal': True, 'source_label': '416.2.k.a.31.1', 'source_level': 416, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692704, 'target_is_minimal': True, 'target_label': '416.2.k.b.31.1', 'target_level': 416, 'twist_class_label': '416.2.k.a.31.1', 'twist_class_level': 416, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7846063
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322208, 'source_is_minimal': True, 'source_label': '416.2.k.a.31.1', 'source_level': 416, 'target_conrey_index': 447, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063616, 'target_is_minimal': False, 'target_label': '832.2.k.c.447.1', 'target_level': 832, 'twist_class_label': '416.2.k.a.31.1', 'twist_class_level': 416, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7846064
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322208, 'source_is_minimal': True, 'source_label': '416.2.k.a.31.1', 'source_level': 416, 'target_conrey_index': 447, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855693120, 'target_is_minimal': False, 'target_label': '832.2.k.b.447.1', 'target_level': 832, 'twist_class_label': '416.2.k.a.31.1', 'twist_class_level': 416, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 7846065
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322208, 'source_is_minimal': True, 'source_label': '416.2.k.a.31.1', 'source_level': 416, 'target_conrey_index': 255, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692704, 'target_is_minimal': True, 'target_label': '416.2.k.b.255.1', 'target_level': 416, 'twist_class_label': '416.2.k.a.31.1', 'twist_class_level': 416, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 7846066
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322208, 'source_is_minimal': True, 'source_label': '416.2.k.a.31.1', 'source_level': 416, 'target_conrey_index': 255, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322208, 'target_is_minimal': True, 'target_label': '416.2.k.a.255.1', 'target_level': 416, 'twist_class_label': '416.2.k.a.31.1', 'twist_class_level': 416, 'twisting_char_label': '52.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 7846067
{'conductor': 104, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322208, 'source_is_minimal': True, 'source_label': '416.2.k.a.31.1', 'source_level': 416, 'target_conrey_index': 255, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063616, 'target_is_minimal': False, 'target_label': '832.2.k.c.255.1', 'target_level': 832, 'twist_class_label': '416.2.k.a.31.1', 'twist_class_level': 416, 'twisting_char_label': '104.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 7846068
{'conductor': 104, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322208, 'source_is_minimal': True, 'source_label': '416.2.k.a.31.1', 'source_level': 416, 'target_conrey_index': 255, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855693120, 'target_is_minimal': False, 'target_label': '832.2.k.b.255.1', 'target_level': 832, 'twist_class_label': '416.2.k.a.31.1', 'twist_class_level': 416, 'twisting_char_label': '104.99', 'twisting_conrey_index': 99, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 857150
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 687228322208, 'p': 2}
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id: 857151
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 3}
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id: 857152
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 5}
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id: 857153
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 7}
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id: 857154
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 11}
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id: 857155
{'charpoly_factorization': [[[13, 6, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 13}
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id: 857156
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 17}
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id: 857157
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 19}
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id: 857158
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 687228322208, 'p': 23}
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id: 857159
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 687228322208, 'p': 29}
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id: 857160
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 31}
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id: 857161
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 37}
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id: 857162
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 41}
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id: 857163
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 687228322208, 'p': 43}
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id: 857164
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 47}
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id: 857165
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 687228322208, 'p': 53}
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id: 857166
{'charpoly_factorization': [[[98, 14, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 59}
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id: 857167
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 687228322208, 'p': 61}
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id: 857168
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 67}
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id: 857169
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 71}
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id: 857170
{'charpoly_factorization': [[[162, -18, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 73}
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id: 857171
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 79}
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id: 857172
{'charpoly_factorization': [[[98, -14, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 83}
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id: 857173
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 89}
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id: 857174
{'charpoly_factorization': [[[338, -26, 1], 1]], 'hecke_orbit_code': 687228322208, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '416.2.k.a', 'level': 416, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 10547106
{'hecke_orbit_code': 687228322208, 'n': 1, 'trace_an': 2}
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id: 10547107
{'hecke_orbit_code': 687228322208, 'n': 2, 'trace_an': 0}
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id: 10547108
{'hecke_orbit_code': 687228322208, 'n': 3, 'trace_an': 0}
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id: 10547109
{'hecke_orbit_code': 687228322208, 'n': 4, 'trace_an': 0}
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id: 10547110
{'hecke_orbit_code': 687228322208, 'n': 5, 'trace_an': -2}
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id: 10547111
{'hecke_orbit_code': 687228322208, 'n': 6, 'trace_an': 0}
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id: 10547112
{'hecke_orbit_code': 687228322208, 'n': 7, 'trace_an': -2}
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id: 10547113
{'hecke_orbit_code': 687228322208, 'n': 8, 'trace_an': 0}
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id: 10547114
{'hecke_orbit_code': 687228322208, 'n': 9, 'trace_an': -2}
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id: 10547115
{'hecke_orbit_code': 687228322208, 'n': 10, 'trace_an': 0}
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id: 10547116
{'hecke_orbit_code': 687228322208, 'n': 11, 'trace_an': -6}
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id: 10547117
{'hecke_orbit_code': 687228322208, 'n': 12, 'trace_an': 0}
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id: 10547118
{'hecke_orbit_code': 687228322208, 'n': 13, 'trace_an': -6}
-
id: 10547119
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id: 10547327
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id: 10547328
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id: 10547329
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id: 10547330
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id: 10547331
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id: 10547332
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id: 10547336
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id: 10547337
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id: 10547338
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id: 10547339
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id: 10547340
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id: 10547341
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id: 10547342
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id: 10547343
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id: 10547344
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id: 10547345
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id: 10547346
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id: 10547347
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id: 10547348
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id: 10547349
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id: 10547350
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id: 10547351
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id: 10547352
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id: 10547353
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id: 10547354
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id: 10547355
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id: 10547356
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id: 10547357
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id: 10547358
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id: 10547359
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id: 10547360
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id: 10547361
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id: 10547362
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id: 10547363
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