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mf_newforms • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 285, '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': [570, 2, [191, 457, 211], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 569, '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': [[7, [6, 0, 1]], [11, [12, 0, 1]], [29, [-24, 0, 1]], [37, [-48, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510936354619962, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'char_conductor': 285, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [570, 2, [191, 457, 211], [1, 1, 1]], 'conrey_index': 569, 'cusp_dim': 112, 'dim': 40, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 29, 37], 'hecke_orbit_code': 137472508474, 'hecke_orbit_dims': [4, 4, 8, 8, 8, 8], 'label': '570.2.c', 'level': 570, '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': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 128, 'mf_new_dim': 40, 'num_forms': 6, 'prim_orbit_index': 2, 'relative_dim': 40, 'sturm_bound': 240, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 16, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -40, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 16, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, -16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 16, 0, 0, -64, 96, 0, 0, 0, 0, -4, 72, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 56, 0, 0, 0, 16, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 116, 88, 0, 0, -128, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 112, 0, 0, -64, 0, 0, 0, 0, 104, -88, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 64, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, -128, 0, 0, 376, 0, -112, 0, 0, 128, 0, 0, 0, 0, 0, 0, -96, 0, 0, 16, 0, 0, 0, 0, 8, 56, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, -24, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, -56, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, -232, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -112, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 120, 0, 0, -128, 16, 0, 0, 0, 0, -188, -112, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 488, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 64, 0, 0, 0, -96, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 4, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -376, 0, 0, 0, 240, 0, -360, 0, 0, 0, -56, 0, 0, 0, 0, -52, -288, 0, 0, -224, 0, 0, 0, 0, 256, -64, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 64, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, -224, 0, 0, 144, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, -224, 0, 0, 336, 0, 0, 0, 0, 128, 120, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -232, 0, 0, 488, 0, 0, 0, 0, 0, 240, 0, 0, 0, -64, 0, 0, 0, 0, 0, -328, 0, 0, 0, 0, 0, -608, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, -152, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -560, -136, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, -24, 0, 0, -56, 392, 0, 0, 0, 0, 12, 528, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -128, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 368, 0, 232, 0, 0, 0, -88, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -36, 96, 0, 0, -64, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, -88, 0, 112, 0, 0, 0, 152, 0, 0, 0, 0, 436, 128, 0, 0, -320, 0, 0, 0, 0, 136, -392, 0, 0, 0, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 112, 0, 0, 480, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 376, 0, 0, 368, 0, 0, 0, 0, 0, -56, 0, 0, 0, -112, 0, 0, 0, 0, -328, -232, 0, 0, 0, 0, 0, 64, 0, 0, 128, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, -104, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 96, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 496, 0, 0, -360, 352, 0, 0, 0, 0, -232, -48, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, -496, 0, 0, 0, 0, 256, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43060910
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 569, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510936354619962, 'source_is_minimal': True, 'source_label': '570.2.c.d.569.4', 'source_level': 570, 'target_conrey_index': 569, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510936354619962, 'target_is_minimal': True, 'target_label': '570.2.c.d.569.4', 'target_level': 570, 'twist_class_label': '570.2.c.d.569.1', 'twist_class_level': 570, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43060911
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 569, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510936354619962, 'source_is_minimal': True, 'source_label': '570.2.c.d.569.4', 'source_level': 570, 'target_conrey_index': 569, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13510936354619962, 'target_is_minimal': True, 'target_label': '570.2.c.d.569.7', 'target_level': 570, 'twist_class_label': '570.2.c.d.569.1', 'twist_class_level': 570, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43060912
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 569, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510936354619962, 'source_is_minimal': True, 'source_label': '570.2.c.d.569.4', 'source_level': 570, 'target_conrey_index': 569, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510936354619962, 'target_is_minimal': True, 'target_label': '570.2.c.d.569.5', 'target_level': 570, 'twist_class_label': '570.2.c.d.569.1', 'twist_class_level': 570, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43060913
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 569, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510936354619962, 'source_is_minimal': True, 'source_label': '570.2.c.d.569.4', 'source_level': 570, 'target_conrey_index': 569, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354619962, 'target_is_minimal': True, 'target_label': '570.2.c.d.569.2', 'target_level': 570, 'twist_class_label': '570.2.c.d.569.1', 'twist_class_level': 570, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43060914
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 569, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510936354619962, 'source_is_minimal': True, 'source_label': '570.2.c.d.569.4', 'source_level': 570, 'target_conrey_index': 569, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510936354619962, 'target_is_minimal': True, 'target_label': '570.2.c.d.569.6', 'target_level': 570, 'twist_class_label': '570.2.c.d.569.1', 'twist_class_level': 570, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 43060915
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 569, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510936354619962, 'source_is_minimal': True, 'source_label': '570.2.c.d.569.4', 'source_level': 570, 'target_conrey_index': 569, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619962, 'target_is_minimal': True, 'target_label': '570.2.c.d.569.1', 'target_level': 570, 'twist_class_label': '570.2.c.d.569.1', 'twist_class_level': 570, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 43060916
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 569, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510936354619962, 'source_is_minimal': True, 'source_label': '570.2.c.d.569.4', 'source_level': 570, 'target_conrey_index': 569, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510936354619962, 'target_is_minimal': True, 'target_label': '570.2.c.d.569.3', 'target_level': 570, 'twist_class_label': '570.2.c.d.569.1', 'twist_class_level': 570, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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id: 43060917
{'conductor': 285, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 569, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510936354619962, 'source_is_minimal': True, 'source_label': '570.2.c.d.569.4', 'source_level': 570, 'target_conrey_index': 569, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13510936354619962, 'target_is_minimal': True, 'target_label': '570.2.c.d.569.8', 'target_level': 570, 'twist_class_label': '570.2.c.d.569.1', 'twist_class_level': 570, 'twisting_char_label': '285.284', 'twisting_conrey_index': 284, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1059475
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 2}
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id: 1059476
{'charpoly_factorization': [[[-3, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 3}
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id: 1059477
{'charpoly_factorization': [[[25, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 13510936354619962, 'p': 5}
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id: 1059478
{'charpoly_factorization': [[[6, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 7}
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id: 1059479
{'charpoly_factorization': [[[12, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 11}
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id: 1059480
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13510936354619962, 'p': 13}
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id: 1059481
{'charpoly_factorization': [[[-50, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 17}
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id: 1059482
{'charpoly_factorization': [[[19, 2, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 19}
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id: 1059483
{'charpoly_factorization': [[[-32, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 23}
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id: 1059484
{'charpoly_factorization': [[[-24, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 29}
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id: 1059485
{'charpoly_factorization': [[[18, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 31}
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id: 1059486
{'charpoly_factorization': [[[-48, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 37}
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id: 1059487
{'charpoly_factorization': [[[-6, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 41}
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id: 1059488
{'charpoly_factorization': [[[96, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 43}
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id: 1059489
{'charpoly_factorization': [[[-8, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 47}
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id: 1059490
{'charpoly_factorization': [[[144, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 53}
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id: 1059491
{'charpoly_factorization': [[[-54, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 59}
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id: 1059492
{'charpoly_factorization': [[[10, 1], 8]], 'hecke_orbit_code': 13510936354619962, 'p': 61}
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id: 1059493
{'charpoly_factorization': [[[-192, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 67}
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id: 1059494
{'charpoly_factorization': [[[-24, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 71}
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id: 1059495
{'charpoly_factorization': [[[96, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 73}
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id: 1059496
{'charpoly_factorization': [[[18, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 79}
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id: 1059497
{'charpoly_factorization': [[[-2, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 83}
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id: 1059498
{'charpoly_factorization': [[[-150, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 89}
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id: 1059499
{'charpoly_factorization': [[[-12, 0, 1], 4]], 'hecke_orbit_code': 13510936354619962, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 4, 'label': '570.2.c.d', 'level': 570, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 36015229
{'hecke_orbit_code': 13510936354619962, 'n': 1, 'trace_an': 8}
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id: 36015230
{'hecke_orbit_code': 13510936354619962, 'n': 2, 'trace_an': 0}
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id: 36015231
{'hecke_orbit_code': 13510936354619962, 'n': 3, 'trace_an': 0}
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id: 36015232
{'hecke_orbit_code': 13510936354619962, 'n': 4, 'trace_an': -8}
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id: 36015233
{'hecke_orbit_code': 13510936354619962, 'n': 5, 'trace_an': 0}
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id: 36015234
{'hecke_orbit_code': 13510936354619962, 'n': 6, 'trace_an': 0}
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id: 36015235
{'hecke_orbit_code': 13510936354619962, 'n': 7, 'trace_an': 0}
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id: 36015236
{'hecke_orbit_code': 13510936354619962, 'n': 8, 'trace_an': 0}
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id: 36015237
{'hecke_orbit_code': 13510936354619962, 'n': 9, 'trace_an': 24}
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id: 36015238
{'hecke_orbit_code': 13510936354619962, 'n': 10, 'trace_an': 0}
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id: 36015239
{'hecke_orbit_code': 13510936354619962, 'n': 11, 'trace_an': 0}
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id: 36015240
{'hecke_orbit_code': 13510936354619962, 'n': 12, 'trace_an': 0}
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id: 36015241
{'hecke_orbit_code': 13510936354619962, 'n': 13, 'trace_an': 0}
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id: 36015242
{'hecke_orbit_code': 13510936354619962, 'n': 14, 'trace_an': 0}
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id: 36015243
{'hecke_orbit_code': 13510936354619962, 'n': 15, 'trace_an': 0}
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id: 36015244
{'hecke_orbit_code': 13510936354619962, 'n': 16, 'trace_an': 8}
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id: 36015245
{'hecke_orbit_code': 13510936354619962, 'n': 17, 'trace_an': 0}
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id: 36015246
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