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mf_newforms • Show schema
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{'Nk2': 3800, 'analytic_conductor': 7.585788192021637, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [950, 2, [77, 401], [1, 2]], 'cm_discs': [], 'conrey_index': 799, 'dim': 6, 'field_disc': -4227136, 'field_disc_factorization': [[-1, 1], [2, 6], [257, 2]], 'field_poly': [9, 0, 22, 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, [361, 0, 157, 0, 22, 0, 1]], [7, [2401, 0, 637, 0, 46, 0, 1]], [11, [24, -32, -2, 1]], [13, [441, 0, 445, 0, 50, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021666517255094, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3800, 'analytic_conductor': 7.585788192021637, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [950, 2, [77, 401], [1, 2]], 'conrey_index': 799, 'cusp_dim': 138, 'dim': 26, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 68753032118, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 6, 6], 'label': '950.2.b', 'level': 950, '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, 5, 19], 'level_radical': 190, 'mf_dim': 162, 'mf_new_dim': 26, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 26, 'sturm_bound': 300, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [26, 0, 0, -26, 0, 4, 0, 0, -38, 0, 8, 0, 0, -8, 0, 26, 0, 0, 2, 0, 32, 0, 0, -4, 0, -24, 0, 0, -28, 0, 0, 0, 0, 4, 0, 38, 0, 0, -8, 0, -12, 0, 0, -8, 0, 40, 0, 0, -62, 0, 40, 0, 0, -16, 0, 8, 0, 0, -24, 0, 36, 0, 0, -26, 0, 0, 0, 0, 56, 0, 8, 0, 0, 48, 0, -2, 0, 0, -48, 0, 42, 0, 0, -32, 0, 0, 0, 0, 52, 0, -24, 0, 0, -56, 0, 4, 0, 0, 32, 0, 12, 0, 0, 24, 0, -64, 0, 0, -84, 0, -72, 0, 0, 8, 0, 28, 0, 0, 32, 0, 130, 0, 0, 0, 0, -80, 0, 0, 104, 0, -40, 0, 0, 28, 0, -4, 0, 0, -80, 0, -120, 0, 0, -38, 0, -20, 0, 0, 28, 0, 72, 0, 0, 72, 0, 8, 0, 0, 80, 0, -168, 0, 0, 12, 0, -16, 0, 0, -74, 0, -10, 0, 0, 104, 0, 8, 0, 0, 72, 0, 28, 0, 0, -40, 0, -104, 0, 0, 48, 0, -84, 0, 0, 52, 0, 62, 0, 0, 52, 0, -168, 0, 0, -40, 0, -72, 0, 0, 40, 0, 168, 0, 0, 12, 0, 16, 0, 0, 152, 0, -136, 0, 0, -8, 0, -60, 0, 0, 132, 0, -264, 0, 0, 192, 0, 24, 0, 0, 132, 0, -20, 0, 0, -36, 0, 56, 0, 0, 0, 0, -56, 0, 0, -8, 0, 26, 0, 0, -88, 0, 36, 0, 0, 0, 0, -20, 0, 0, 36, 0, 92, 0, 0, -44, 0, -56, 0, 0, 112, 0, -68, 0, 0, -8, 0, 64, 0, 0, -114, 0, -40, 0, 0, 4, 0, -48, 0, 0, -88, 0, -32, 0, 0, 2, 0, 44, 0, 0, 48, 0, 44, 0, 0, -28, 0, 48, 0, 0, 16, 0, 40, 0, 0, -42, 0, 64, 0, 0, 32, 0, 160, 0, 0, -16, 0, 32, 0, 0, -40, 0, 112, 0, 0, 0, 0, -152, 0, 0, -156, 0, -88, 0, 0, -32, 0, -52, 0, 0, -116, 0, 26, 0, 0, 24, 0, 144, 0, 0, -20, 0, 88, 0, 0, -64, 0, 56, 0, 0, 16, 0, 8, 0, 0, -4, 0, 4, 0, 0, 52, 0, 8, 0, 0, 68, 0, -32, 0, 0, -48, 0, -52, 0, 0, -12, 0, 48, 0, 0, -108, 0, 48, 0, 0, -216, 0, -24, 0, 0, 112, 0, 60, 0, 0, 64, 0, 8, 0, 0, 72, 0, 16, 0, 0, 24, 0, 84, 0, 0, -200, 0, 266, 0, 0, 72, 0, 72, 0, 0, -148, 0, 192, 0, 0, 12, 0, -8, 0, 0, -224, 0, -60, 0, 0, -28, 0, 12, 0, 0, -208, 0, -72, 0, 0, -96, 0, -32, 0, 0, 12, 0, 128, 0, 0, -130, 0, -28, 0, 0, 96, 0, 72, 0, 0, 28, 0, 0, 0, 0, -184, 0, 248, 0, 0, 80, 0, -104, 0, 0, 68, 0, 40, 0, 0, -100, 0, -104, 0, 0, -152, 0, -60, 0, 0, 40, 0, 152, 0, 0, -126, 0, -72, 0, 0, -88, 0, -28, 0, 0, -72, 0, -4, 0, 0, 4, 0, 64, 0, 0, -36, 0, 8, 0, 0, 84, 0, 80, 0, 0, -40, 0, -192, 0, 0, 120, 0, 120, 0, 0, 4, 0, 152, 0, 0, -16, 0, 38, 0, 0, -312, 0, -64, 0, 0, 20, 0, -32, 0, 0, -16, 0, 184, 0, 0, -72, 0, -28, 0, 0, -128, 0, 20, 0, 0, -72, 0, 56, 0, 0, 296, 0, 184, 0, 0, 60, 0, -72, 0, 0, 128, 0, -128, 0, 0, -8, 0, 76, 0, 0, 176, 0, 20, 0, 0, 136, 0, -80, 0, 0, 112, 0, 204, 0, 0, 168, 0, 16, 0, 0, 56, 0, 16, 0, 0, -80, 0, -12, 0, 0, 176, 0, -116, 0, 0, 16, 0, -184, 0, 0, -408, 0, 112, 0, 0, -100, 0, 74, 0, 0, -216, 0, -264, 0, 0, 10, 0, -128, 0, 0, 56, 0, -96, 0, 0, -32, 0, -104, 0, 0, 192, 0, 20, 0, 0, -8, 0, -68, 0, 0, -12, 0, 440, 0, 0, 304, 0, -72, 0, 0, -12, 0, -16, 0, 0, -28, 0, 180, 0, 0, -14, 0, -304, 0, 0, -104, 0, 40, 0, 0, -144, 0, -24, 0, 0, 104, 0, 136, 0, 0, 152, 0, -128, 0, 0, 24, 0, -48, 0, 0, 392, 0, 24, 0, 0, 84, 0, -64, 0, 0, 272, 0, -264, 0, 0, -200, 0, -52, 0, 0, -12, 0, 288, 0, 0, -62, 0, -112, 0, 0, -80, 0, 152, 0, 0, 20, 0, -52, 0, 0, 32, 0, 44, 0, 0, 168, 0, 96, 0, 0, -160, 0, -32, 0, 0, -72, 0, 40, 0, 0, 248, 0, -316, 0, 0, 72, 0, 56, 0, 0, 164, 0, -248, 0, 0, 56, 0, -40, 0, 0, 184, 0, 10, 0, 0, -168, 0, -48, 0, 0, 8, 0, -224, 0, 0, -456, 0, -12, 0, 0, 0, 0, -264, 0, 0, -16, 0, -4, 0, 0, 208, 0, -176, 0, 0, 20, 0, -152, 0, 0, -56, 0, -136, 0, 0, 136, 0, 128, 0, 0, 192, 0, -400, 0, 0, -368, 0, 8, 0, 0, -152, 0, -256, 0, 0, 60, 0, 16, 0, 0, 444, 0, -104, 0, 0, 100, 0, -132, 0, 0, 28, 0, 192, 0, 0, 264, 0, 168, 0, 0, 176, 0, -2, 0, 0, 48, 0, -192, 0, 0, 568, 0, -156, 0, 0, -24, 0, 48, 0, 0, 168, 0, -404, 0, 0, 364, 0, -132, 0, 0, 364, 0, -38, 0, 0, 20, 0, 164, 0, 0, -56, 0, 120, 0, 0, 104, 0, 36, 0, 0, 64, 0, 4, 0, 0, -56, 0, -180, 0, 0, -184, 0, 64, 0, 0, 96, 0, 0, 0, 0, -84, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45703017
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021666517255094, 'source_is_minimal': False, 'source_label': '950.2.b.g.799.5', 'source_level': 950, 'target_conrey_index': 799, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021666517255094, 'target_is_minimal': False, 'target_label': '950.2.b.g.799.5', 'target_level': 950, 'twist_class_label': '950.2.a.k.1.2', 'twist_class_level': 950, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45703018
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021666517255094, 'source_is_minimal': False, 'source_label': '950.2.b.g.799.5', 'source_level': 950, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307260342, 'target_is_minimal': True, 'target_label': '950.2.a.k.1.2', 'target_level': 950, 'twist_class_label': '950.2.a.k.1.2', 'twist_class_level': 950, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45703019
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021666517255094, 'source_is_minimal': False, 'source_label': '950.2.b.g.799.5', 'source_level': 950, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001334, 'target_is_minimal': True, 'target_label': '950.2.a.m.1.2', 'target_level': 950, 'twist_class_label': '950.2.a.k.1.2', 'twist_class_level': 950, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45703020
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021666517255094, 'source_is_minimal': False, 'source_label': '950.2.b.g.799.5', 'source_level': 950, 'target_conrey_index': 799, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021666517255094, 'target_is_minimal': False, 'target_label': '950.2.b.g.799.2', 'target_level': 950, 'twist_class_label': '950.2.a.k.1.2', 'twist_class_level': 950, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45703021
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021666517255094, 'source_is_minimal': False, 'source_label': '950.2.b.g.799.5', 'source_level': 950, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 297237575440015718, 'target_is_minimal': False, 'target_label': '8550.2.a.co.1.1', 'target_level': 8550, 'twist_class_label': '950.2.a.k.1.2', 'twist_class_level': 950, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45703022
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021666517255094, 'source_is_minimal': False, 'source_label': '950.2.b.g.799.5', 'source_level': 950, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 274719577303163238, 'target_is_minimal': False, 'target_label': '8550.2.a.cj.1.3', 'target_level': 8550, 'twist_class_label': '950.2.a.k.1.2', 'twist_class_level': 950, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45703023
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021666517255094, 'source_is_minimal': False, 'source_label': '950.2.b.g.799.5', 'source_level': 950, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873640880, 'target_is_minimal': False, 'target_label': '7600.2.a.bm.1.2', 'target_level': 7600, 'twist_class_label': '950.2.a.k.1.2', 'twist_class_level': 950, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45703024
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021666517255094, 'source_is_minimal': False, 'source_label': '950.2.b.g.799.5', 'source_level': 950, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 238690780284198320, 'target_is_minimal': False, 'target_label': '7600.2.a.cb.1.2', 'target_level': 7600, 'twist_class_label': '950.2.a.k.1.2', 'twist_class_level': 950, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1524550
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 27021666517255094, 'p': 2}
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id: 1524551
{'charpoly_factorization': [[[361, 0, 157, 0, 22, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 3}
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id: 1524552
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 27021666517255094, 'p': 5}
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id: 1524553
{'charpoly_factorization': [[[2401, 0, 637, 0, 46, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 7}
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id: 1524554
{'charpoly_factorization': [[[24, -32, -2, 1], 2]], 'hecke_orbit_code': 27021666517255094, 'p': 11}
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id: 1524555
{'charpoly_factorization': [[[441, 0, 445, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 13}
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id: 1524556
{'charpoly_factorization': [[[49, 0, 169, 0, 46, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 17}
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id: 1524557
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 27021666517255094, 'p': 19}
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id: 1524558
{'charpoly_factorization': [[[3969, 0, 1485, 0, 82, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 23}
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id: 1524559
{'charpoly_factorization': [[[25, 41, 14, 1], 2]], 'hecke_orbit_code': 27021666517255094, 'p': 29}
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id: 1524560
{'charpoly_factorization': [[[-152, -36, 4, 1], 2]], 'hecke_orbit_code': 27021666517255094, 'p': 31}
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id: 1524561
{'charpoly_factorization': [[[81, 0, 4275, 0, 163, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 37}
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id: 1524562
{'charpoly_factorization': [[[-64, -48, 8, 1], 2]], 'hecke_orbit_code': 27021666517255094, 'p': 41}
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id: 1524563
{'charpoly_factorization': [[[5184, 0, 1312, 0, 84, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 43}
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id: 1524564
{'charpoly_factorization': [[[275625, 0, 14275, 0, 219, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 47}
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id: 1524565
{'charpoly_factorization': [[[9, 0, 181, 0, 78, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 53}
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id: 1524566
{'charpoly_factorization': [[[175, -29, -6, 1], 2]], 'hecke_orbit_code': 27021666517255094, 'p': 59}
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id: 1524567
{'charpoly_factorization': [[[536, 72, -22, 1], 2]], 'hecke_orbit_code': 27021666517255094, 'p': 61}
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id: 1524568
{'charpoly_factorization': [[[219961, 0, 17161, 0, 262, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 67}
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id: 1524569
{'charpoly_factorization': [[[-24, -16, 2, 1], 2]], 'hecke_orbit_code': 27021666517255094, 'p': 71}
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id: 1524570
{'charpoly_factorization': [[[59049, 0, 6561, 0, 198, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 73}
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id: 1524571
{'charpoly_factorization': [[[-320, 112, 24, 1], 2]], 'hecke_orbit_code': 27021666517255094, 'p': 79}
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id: 1524572
{'charpoly_factorization': [[[2383936, 0, 63952, 0, 472, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 83}
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id: 1524573
{'charpoly_factorization': [[[-10, 1], 6]], 'hecke_orbit_code': 27021666517255094, 'p': 89}
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id: 1524574
{'charpoly_factorization': [[[419904, 0, 32400, 0, 360, 0, 1], 1]], 'hecke_orbit_code': 27021666517255094, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 7, 'label': '950.2.b.g', 'level': 950, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47064079
{'hecke_orbit_code': 27021666517255094, 'n': 1, 'trace_an': 6}
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id: 47064080
{'hecke_orbit_code': 27021666517255094, 'n': 2, 'trace_an': 0}
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id: 47064081
{'hecke_orbit_code': 27021666517255094, 'n': 3, 'trace_an': 0}
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id: 47064082
{'hecke_orbit_code': 27021666517255094, 'n': 4, 'trace_an': -6}
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id: 47064083
{'hecke_orbit_code': 27021666517255094, 'n': 5, 'trace_an': 0}
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id: 47064084
{'hecke_orbit_code': 27021666517255094, 'n': 6, 'trace_an': 4}
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id: 47064085
{'hecke_orbit_code': 27021666517255094, 'n': 7, 'trace_an': 0}
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