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mf_newforms • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [832, 4, [703, 261, 769], [2, 4, 1]], 'cm_discs': [], 'conrey_index': 255, '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]], [5, [2, -2, 1]], [7, [2, -2, 1]], [11, [18, 6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007886483063616, '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, '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': [832, 4, [703, 261, 769], [2, 4, 1]], 'conrey_index': 255, 'cusp_dim': 200, 'dim': 52, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 5, 7, 11], 'hecke_orbit_code': 687228322624, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 8, 8, 8, 12], 'label': '832.2.k', 'level': 832, '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': 248, 'mf_new_dim': 60, 'num_forms': 10, 'prim_orbit_index': 6, 'relative_dim': 26, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [0, 0, 4, 0], 'traces': [52, 0, 0, 0, 4, 0, 0, 0, -52, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, 0, -12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -16, 0, 0, 0, 4, 0, 0, 0, -72, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -60, 0, 0, 0, -8, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 4, 0, 0, 0, -152, 0, 0, 0, 24, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -64, 0, 0, 0, 240, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -160, 0, 0, 0, 68, 0, 0, 0, -44, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, -56, 0, 0, 0, -104, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -12, 0, 0, 0, 20, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -24, 0, 0, 0, 8, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, -48, 0, 0, 0, 224, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 36, 0, 0, 0, 16, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 32, 0, 0, 0, 212, 0, 0, 0, -44, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 108, 0, 0, 0, -280, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 196, 0, 0, 0, -12, 0, 0, 0, 116, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -28, 0, 0, 0, 112, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 20, 0, 0, 0, -88, 0, 0, 0, 4, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -176, 0, 0, 0, 56, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -40, 0, 0, 0, -96, 0, 0, 0, -284, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -232, 0, 0, 0, -44, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, -8, 0, 0, 0, -220, 0, 0, 0, 32, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 68, 0, 0, 0, 264, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -396, 0, 0, 0, -144, 0, 0, 0, -60, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -172, 0, 0, 0, -176, 0, 0, 0, 400, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -536, 0, 0, 0, -180, 0, 0, 0, -12, 0, 0, 0, 120, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -56, 0, 0, 0, -56, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 20, 0, 0, 0, -64, 0, 0, 0, 584, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, 212, 0, 0, 0, 24, 0, 0, 0, -456, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 4, 0, 0, 0, 544, 0, 0, 0, -76, 0, 0, 0, -284, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -104, 0, 0, 0, -432, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 456, 0, 0, 0, -208, 0, 0, 0, 68, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, -112, 0, 0, 0, -116, 0, 0, 0, 340, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 0, 0, 656, 0, 0, 0, -64, 0, 0, 0, 136, 0, 0, 0, -164, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 224, 0, 0, 0, 104, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, -24, 0, 0, 0, 104, 0, 0, 0, -684, 0, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -12, 0, 0, 0, 256, 0, 0, 0, 372, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 192, 0, 0, 0, -504, 0, 0, 0, 132, 0, 0, 0, 332, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -216, 0, 0, 0, 168, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41187191
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 447, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063616, 'source_is_minimal': False, 'source_label': '832.2.k.c.447.1', 'source_level': 832, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41187192
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 447, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063616, 'source_is_minimal': False, 'source_label': '832.2.k.c.447.1', 'source_level': 832, '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': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41187193
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 447, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063616, 'source_is_minimal': False, 'source_label': '832.2.k.c.447.1', 'source_level': 832, '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': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41187194
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 447, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063616, 'source_is_minimal': False, 'source_label': '832.2.k.c.447.1', 'source_level': 832, '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': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41187195
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 447, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063616, 'source_is_minimal': False, 'source_label': '832.2.k.c.447.1', 'source_level': 832, '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': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 41187196
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 447, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063616, 'source_is_minimal': False, 'source_label': '832.2.k.c.447.1', 'source_level': 832, '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': '52.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 41187197
{'conductor': 104, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 447, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063616, 'source_is_minimal': False, 'source_label': '832.2.k.c.447.1', 'source_level': 832, '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': '104.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 41187198
{'conductor': 104, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 447, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063616, 'source_is_minimal': False, 'source_label': '832.2.k.c.447.1', 'source_level': 832, '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': '104.99', 'twisting_conrey_index': 99, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1384200
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007886483063616, 'p': 2}
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id: 1384201
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 3}
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id: 1384202
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 5}
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id: 1384203
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 7}
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id: 1384204
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 11}
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id: 1384205
{'charpoly_factorization': [[[13, -6, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 13}
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id: 1384206
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 17}
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id: 1384207
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 19}
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id: 1384208
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007886483063616, 'p': 23}
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id: 1384209
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 9007886483063616, 'p': 29}
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id: 1384210
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 31}
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id: 1384211
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 37}
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id: 1384212
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 41}
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id: 1384213
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007886483063616, 'p': 43}
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id: 1384214
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 47}
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id: 1384215
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007886483063616, 'p': 53}
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id: 1384216
{'charpoly_factorization': [[[98, 14, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 59}
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id: 1384217
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 9007886483063616, 'p': 61}
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id: 1384218
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 67}
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id: 1384219
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 71}
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id: 1384220
{'charpoly_factorization': [[[162, -18, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 73}
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id: 1384221
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 79}
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id: 1384222
{'charpoly_factorization': [[[98, -14, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 83}
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id: 1384223
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 89}
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id: 1384224
{'charpoly_factorization': [[[338, -26, 1], 1]], 'hecke_orbit_code': 9007886483063616, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 3, 'label': '832.2.k.c', 'level': 832, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31363747
{'hecke_orbit_code': 9007886483063616, 'n': 1, 'trace_an': 2}
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id: 31363748
{'hecke_orbit_code': 9007886483063616, 'n': 2, 'trace_an': 0}
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id: 31363749
{'hecke_orbit_code': 9007886483063616, 'n': 3, 'trace_an': 0}
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id: 31363750
{'hecke_orbit_code': 9007886483063616, 'n': 4, 'trace_an': 0}
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id: 31363751
{'hecke_orbit_code': 9007886483063616, 'n': 5, 'trace_an': 2}
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id: 31363752
{'hecke_orbit_code': 9007886483063616, 'n': 6, 'trace_an': 0}
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id: 31363753
{'hecke_orbit_code': 9007886483063616, 'n': 7, 'trace_an': 2}
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id: 31363754
{'hecke_orbit_code': 9007886483063616, 'n': 8, 'trace_an': 0}
-
id: 31363755
{'hecke_orbit_code': 9007886483063616, 'n': 9, 'trace_an': -2}
-
id: 31363756
{'hecke_orbit_code': 9007886483063616, 'n': 10, 'trace_an': 0}
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id: 31363757
{'hecke_orbit_code': 9007886483063616, 'n': 11, 'trace_an': -6}
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id: 31363758
{'hecke_orbit_code': 9007886483063616, 'n': 12, 'trace_an': 0}
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id: 31363759
{'hecke_orbit_code': 9007886483063616, 'n': 13, 'trace_an': 6}
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id: 31363760
{'hecke_orbit_code': 9007886483063616, 'n': 14, 'trace_an': 0}
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id: 31363761
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