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mf_newforms • Show schema
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{'Nk2': 6048, 'analytic_conductor': 12.073380785617594, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [1512, 2, [1135, 757, 785, 1081], [2, 2, 1, 1]], 'cm_discs': [], 'conrey_index': 377, 'dim': 16, 'field_disc': 132022169263815798030336, 'field_disc_factorization': [[2, 20], [3, 8], [7, 4], [13, 4], [23, 4]], 'field_poly': [169, 0, -104, 0, 1134, 0, -1244, 0, 2139, 0, -1052, 0, 230, 0, -24, 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, [16, 0, -91, 0, 83, 0, -17, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687228323304, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1048576, 'hecke_ring_index_factorization': [[2, 20]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6048, 'analytic_conductor': 12.073380785617594, 'char_conductor': 21, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [1512, 2, [1135, 757, 785, 1081], [2, 2, 1, 1]], 'conrey_index': 377, 'cusp_dim': 264, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 687228323304, 'hecke_orbit_dims': [16, 16], 'label': '1512.2.k', 'level': 1512, '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, 7], 'level_radical': 42, 'mf_dim': 312, 'mf_new_dim': 32, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 576, 'trace_bound': 25, 'trace_display': [0, 0, 0, -4], 'traces': [32, 0, 0, 0, 0, 0, -4, 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, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 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, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 80, 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, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -388, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, -226, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 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: 8494293
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 377, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 687228323304, 'source_is_minimal': True, 'source_label': '1512.2.k.a.377.16', 'source_level': 1512, 'target_conrey_index': 377, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 687228323304, 'target_is_minimal': True, 'target_label': '1512.2.k.a.377.16', 'target_level': 1512, 'twist_class_label': '1512.2.k.a.377.1', 'twist_class_level': 1512, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 8494294
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 377, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 687228323304, 'source_is_minimal': True, 'source_label': '1512.2.k.a.377.16', 'source_level': 1512, 'target_conrey_index': 377, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228323304, 'target_is_minimal': True, 'target_label': '1512.2.k.a.377.2', 'target_level': 1512, 'twist_class_label': '1512.2.k.a.377.1', 'twist_class_level': 1512, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8494295
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 377, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 687228323304, 'source_is_minimal': True, 'source_label': '1512.2.k.a.377.16', 'source_level': 1512, 'target_conrey_index': 1889, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 45036683502029776, 'target_is_minimal': False, 'target_label': '3024.2.k.k.1889.15', 'target_level': 3024, 'twist_class_label': '1512.2.k.a.377.1', 'twist_class_level': 1512, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 8494296
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 377, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 687228323304, 'source_is_minimal': True, 'source_label': '1512.2.k.a.377.16', 'source_level': 1512, 'target_conrey_index': 377, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228323304, 'target_is_minimal': True, 'target_label': '1512.2.k.a.377.1', 'target_level': 1512, 'twist_class_label': '1512.2.k.a.377.1', 'twist_class_level': 1512, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 8494297
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 377, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 687228323304, 'source_is_minimal': True, 'source_label': '1512.2.k.a.377.16', 'source_level': 1512, 'target_conrey_index': 1889, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036683502029776, 'target_is_minimal': False, 'target_label': '3024.2.k.k.1889.1', 'target_level': 3024, 'twist_class_label': '1512.2.k.a.377.1', 'twist_class_level': 1512, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 8494298
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 377, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 687228323304, 'source_is_minimal': True, 'source_label': '1512.2.k.a.377.16', 'source_level': 1512, 'target_conrey_index': 377, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 687228323304, 'target_is_minimal': True, 'target_label': '1512.2.k.a.377.15', 'target_level': 1512, 'twist_class_label': '1512.2.k.a.377.1', 'twist_class_level': 1512, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 8494299
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 377, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 687228323304, 'source_is_minimal': True, 'source_label': '1512.2.k.a.377.16', 'source_level': 1512, 'target_conrey_index': 1889, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036683502029776, 'target_is_minimal': False, 'target_label': '3024.2.k.k.1889.2', 'target_level': 3024, 'twist_class_label': '1512.2.k.a.377.1', 'twist_class_level': 1512, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 8494300
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 377, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 687228323304, 'source_is_minimal': True, 'source_label': '1512.2.k.a.377.16', 'source_level': 1512, 'target_conrey_index': 1889, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 45036683502029776, 'target_is_minimal': False, 'target_label': '3024.2.k.k.1889.16', 'target_level': 3024, 'twist_class_label': '1512.2.k.a.377.1', 'twist_class_level': 1512, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2002050
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 687228323304, 'p': 2}
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id: 2002051
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 687228323304, 'p': 3}
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id: 2002052
{'charpoly_factorization': [[[16, 0, -91, 0, 83, 0, -17, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 5}
-
id: 2002053
{'charpoly_factorization': [[[2401, 343, 0, 35, -34, 5, 0, 1, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 7}
-
id: 2002054
{'charpoly_factorization': [[[784, 0, 3801, 0, 779, 0, 51, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 11}
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id: 2002055
{'charpoly_factorization': [[[3136, 0, 5264, 0, 956, 0, 55, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 13}
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id: 2002056
{'charpoly_factorization': [[[4096, 0, -5888, 0, 1088, 0, -64, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 17}
-
id: 2002057
{'charpoly_factorization': [[[841, 0, 1700, 0, 734, 0, 52, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 19}
-
id: 2002058
{'charpoly_factorization': [[[559504, 0, 147097, 0, 8379, 0, 163, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 23}
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id: 2002059
{'charpoly_factorization': [[[4096, 0, 3648, 0, 944, 0, 60, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 29}
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id: 2002060
{'charpoly_factorization': [[[3844, 0, 3431, 0, 791, 0, 61, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 31}
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id: 2002061
{'charpoly_factorization': [[[-161, -322, -96, 2, 1], 4]], 'hecke_orbit_code': 687228323304, 'p': 37}
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id: 2002062
{'charpoly_factorization': [[[1827904, 0, -265499, 0, 11699, 0, -193, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 41}
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id: 2002063
{'charpoly_factorization': [[[64, 376, -132, -2, 1], 4]], 'hecke_orbit_code': 687228323304, 'p': 43}
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id: 2002064
{'charpoly_factorization': [[[30647296, 0, -2023360, 0, 42608, 0, -356, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 47}
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id: 2002065
{'charpoly_factorization': [[[1048576, 0, 233472, 0, 15104, 0, 240, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 53}
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id: 2002066
{'charpoly_factorization': [[[4064256, 0, -616896, 0, 27504, 0, -324, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 59}
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id: 2002067
{'charpoly_factorization': [[[331776, 0, 103680, 0, 8496, 0, 171, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 61}
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id: 2002068
{'charpoly_factorization': [[[-2744, -1372, -154, 7, 1], 4]], 'hecke_orbit_code': 687228323304, 'p': 67}
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id: 2002069
{'charpoly_factorization': [[[8479744, 0, 664937, 0, 18747, 0, 227, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 71}
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id: 2002070
{'charpoly_factorization': [[[10291264, 0, 863248, 0, 23708, 0, 263, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 73}
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id: 2002071
{'charpoly_factorization': [[[184, -92, -70, 11, 1], 4]], 'hecke_orbit_code': 687228323304, 'p': 79}
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id: 2002072
{'charpoly_factorization': [[[51380224, 0, -3819200, 0, 85040, 0, -532, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 83}
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id: 2002073
{'charpoly_factorization': [[[8737936, 0, -862499, 0, 28979, 0, -361, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 89}
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id: 2002074
{'charpoly_factorization': [[[177209344, 0, 6602752, 0, 87296, 0, 491, 0, 1], 2]], 'hecke_orbit_code': 687228323304, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '1512.2.k.a', 'level': 1512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 10629666
{'hecke_orbit_code': 687228323304, 'n': 1, 'trace_an': 16}
-
id: 10629667
{'hecke_orbit_code': 687228323304, 'n': 2, 'trace_an': 0}
-
id: 10629668
{'hecke_orbit_code': 687228323304, 'n': 3, 'trace_an': 0}
-
id: 10629669
{'hecke_orbit_code': 687228323304, 'n': 4, 'trace_an': 0}
-
id: 10629670
{'hecke_orbit_code': 687228323304, 'n': 5, 'trace_an': 0}
-
id: 10629671
{'hecke_orbit_code': 687228323304, 'n': 6, 'trace_an': 0}
-
id: 10629672
{'hecke_orbit_code': 687228323304, 'n': 7, 'trace_an': -2}
-
id: 10629673
{'hecke_orbit_code': 687228323304, 'n': 8, 'trace_an': 0}
-
id: 10629674
{'hecke_orbit_code': 687228323304, 'n': 9, 'trace_an': 0}
-
id: 10629675
{'hecke_orbit_code': 687228323304, 'n': 10, 'trace_an': 0}
-
id: 10629676
{'hecke_orbit_code': 687228323304, 'n': 11, 'trace_an': 0}
-
id: 10629677
{'hecke_orbit_code': 687228323304, 'n': 12, 'trace_an': 0}
-
id: 10629678
{'hecke_orbit_code': 687228323304, 'n': 13, 'trace_an': 0}
-
id: 10629679
{'hecke_orbit_code': 687228323304, 'n': 14, 'trace_an': 0}
-
id: 10629680
{'hecke_orbit_code': 687228323304, 'n': 15, 'trace_an': 0}
-
id: 10629681
{'hecke_orbit_code': 687228323304, 'n': 16, 'trace_an': 0}
-
id: 10629682
{'hecke_orbit_code': 687228323304, 'n': 17, 'trace_an': 0}
-
id: 10629683
{'hecke_orbit_code': 687228323304, 'n': 18, 'trace_an': 0}
-
id: 10629684
{'hecke_orbit_code': 687228323304, 'n': 19, 'trace_an': 0}
-
id: 10629685
{'hecke_orbit_code': 687228323304, 'n': 20, 'trace_an': 0}
-
id: 10629686
{'hecke_orbit_code': 687228323304, 'n': 21, 'trace_an': 0}
-
id: 10629687
{'hecke_orbit_code': 687228323304, 'n': 22, 'trace_an': 0}
-
id: 10629688
{'hecke_orbit_code': 687228323304, 'n': 23, 'trace_an': 0}
-
id: 10629689
{'hecke_orbit_code': 687228323304, 'n': 24, 'trace_an': 0}
-
id: 10629690
{'hecke_orbit_code': 687228323304, 'n': 25, 'trace_an': -12}
-
id: 10629691
{'hecke_orbit_code': 687228323304, 'n': 26, 'trace_an': 0}
-
id: 10629692
{'hecke_orbit_code': 687228323304, 'n': 27, 'trace_an': 0}
-
id: 10629693
{'hecke_orbit_code': 687228323304, 'n': 28, 'trace_an': 0}
-
id: 10629694
{'hecke_orbit_code': 687228323304, 'n': 29, 'trace_an': 0}
-
id: 10629695
{'hecke_orbit_code': 687228323304, 'n': 30, 'trace_an': 0}
-
id: 10629696
{'hecke_orbit_code': 687228323304, 'n': 31, 'trace_an': 0}
-
id: 10629697
{'hecke_orbit_code': 687228323304, 'n': 32, 'trace_an': 0}
-
id: 10629698
{'hecke_orbit_code': 687228323304, 'n': 33, 'trace_an': 0}
-
id: 10629699
{'hecke_orbit_code': 687228323304, 'n': 34, 'trace_an': 0}
-
id: 10629700
{'hecke_orbit_code': 687228323304, 'n': 35, 'trace_an': 0}
-
id: 10629701
{'hecke_orbit_code': 687228323304, 'n': 36, 'trace_an': 0}
-
id: 10629702
{'hecke_orbit_code': 687228323304, 'n': 37, 'trace_an': -8}
-
id: 10629703
{'hecke_orbit_code': 687228323304, 'n': 38, 'trace_an': 0}
-
id: 10629704
{'hecke_orbit_code': 687228323304, 'n': 39, 'trace_an': 0}
-
id: 10629705
{'hecke_orbit_code': 687228323304, 'n': 40, 'trace_an': 0}
-
id: 10629706
{'hecke_orbit_code': 687228323304, 'n': 41, 'trace_an': 0}
-
id: 10629707
{'hecke_orbit_code': 687228323304, 'n': 42, 'trace_an': 0}
-
id: 10629708
{'hecke_orbit_code': 687228323304, 'n': 43, 'trace_an': 8}
-
id: 10629709
{'hecke_orbit_code': 687228323304, 'n': 44, 'trace_an': 0}
-
id: 10629710
{'hecke_orbit_code': 687228323304, 'n': 45, 'trace_an': 0}
-
id: 10629711
{'hecke_orbit_code': 687228323304, 'n': 46, 'trace_an': 0}
-
id: 10629712
{'hecke_orbit_code': 687228323304, 'n': 47, 'trace_an': 0}
-
id: 10629713
{'hecke_orbit_code': 687228323304, 'n': 48, 'trace_an': 0}
-
id: 10629714
{'hecke_orbit_code': 687228323304, 'n': 49, 'trace_an': 2}
-
id: 10629715
{'hecke_orbit_code': 687228323304, 'n': 50, 'trace_an': 0}
-
id: 10629716
{'hecke_orbit_code': 687228323304, 'n': 51, 'trace_an': 0}
-
id: 10629717
{'hecke_orbit_code': 687228323304, 'n': 52, 'trace_an': 0}
-
id: 10629718
{'hecke_orbit_code': 687228323304, 'n': 53, 'trace_an': 0}
-
id: 10629719
{'hecke_orbit_code': 687228323304, 'n': 54, 'trace_an': 0}
-
id: 10629720
{'hecke_orbit_code': 687228323304, 'n': 55, 'trace_an': 0}
-
id: 10629721
{'hecke_orbit_code': 687228323304, 'n': 56, 'trace_an': 0}
-
id: 10629722
{'hecke_orbit_code': 687228323304, 'n': 57, 'trace_an': 0}
-
id: 10629723
{'hecke_orbit_code': 687228323304, 'n': 58, 'trace_an': 0}
-
id: 10629724
{'hecke_orbit_code': 687228323304, 'n': 59, 'trace_an': 0}
-
id: 10629725
{'hecke_orbit_code': 687228323304, 'n': 60, 'trace_an': 0}
-
id: 10629726
{'hecke_orbit_code': 687228323304, 'n': 61, 'trace_an': 0}
-
id: 10629727
{'hecke_orbit_code': 687228323304, 'n': 62, 'trace_an': 0}
-
id: 10629728
{'hecke_orbit_code': 687228323304, 'n': 63, 'trace_an': 0}
-
id: 10629729
{'hecke_orbit_code': 687228323304, 'n': 64, 'trace_an': 0}
-
id: 10629730
{'hecke_orbit_code': 687228323304, 'n': 65, 'trace_an': 0}
-
id: 10629731
{'hecke_orbit_code': 687228323304, 'n': 66, 'trace_an': 0}
-
id: 10629732
{'hecke_orbit_code': 687228323304, 'n': 67, 'trace_an': -28}
-
id: 10629733
{'hecke_orbit_code': 687228323304, 'n': 68, 'trace_an': 0}
-
id: 10629734
{'hecke_orbit_code': 687228323304, 'n': 69, 'trace_an': 0}
-
id: 10629735
{'hecke_orbit_code': 687228323304, 'n': 70, 'trace_an': 0}
-
id: 10629736
{'hecke_orbit_code': 687228323304, 'n': 71, 'trace_an': 0}
-
id: 10629737
{'hecke_orbit_code': 687228323304, 'n': 72, 'trace_an': 0}
-
id: 10629738
{'hecke_orbit_code': 687228323304, 'n': 73, 'trace_an': 0}
-
id: 10629739
{'hecke_orbit_code': 687228323304, 'n': 74, 'trace_an': 0}
-
id: 10629740
{'hecke_orbit_code': 687228323304, 'n': 75, 'trace_an': 0}
-
id: 10629741
{'hecke_orbit_code': 687228323304, 'n': 76, 'trace_an': 0}
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id: 10629742
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