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{'Nk2': 17024, 'analytic_conductor': 33.98433110025693, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [19, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4256, 1, [799, 2661, 3041, 3137], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 16077447696, 'field_disc_factorization': [[2, 4], [3, 1], [6833, 1], [49019, 1]], 'field_poly': [8, -15, -45, 12, 31, -10, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [8, -15, -45, 12, 31, -10, -3, 1]], [23, [9648, -11172, -5646, 1505, 520, -58, -10, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071486624, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4256.2.a.q', 'level': 4256, '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, 7, 19], 'level_radical': 266, 'minimal_twist': '4256.2.a.p', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+(-1+\\beta _{3})q^{5}-q^{7}+(1-\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4256.2.a', 'trace_display': [0, 3, -5, -7], 'trace_hash': 1532189155164750213, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'ALdims': [11, 16, 16, 11, 16, 11, 11, 16], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [58, 68, 66, 67, 72, 61, 63, 62], 'Nk2': 17024, 'analytic_conductor': 33.98433110025693, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4256, 1, [799, 2661, 3041, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 625, 'dim': 108, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 23], 'hecke_orbit_code': 33558688, 'hecke_orbit_dims': [1, 1, 2, 2, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10], 'label': '4256.2.a', 'level': 4256, '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, 7, 19], 'level_radical': 266, 'mf_dim': 656, 'mf_new_dim': 108, 'num_forms': 20, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 108, 'sturm_bound': 1280, 'trace_bound': 7, 'trace_display': [0, 0, -8, 0], 'traces': [108, 0, 0, 0, -8, 0, 0, 0, 108, 0, 0, 0, -8, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 24, 0, 0, 0, 56, 0, 0, 0, 108, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, -48, 0, 0, 0, 24, 0, 0, 0, 96, 0, 0, 0, 24, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 24, 0, 0, 0, -40, 0, 0, 0, 44, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, 56, 0, 0, 0, 120, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 132, 0, 0, 0, 88, 0, 0, 0, 64, 0, 0, 0, 56, 0, 0, 0, 144, 0, 0, 0, 96, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 144, 0, 0, 0, 324, 0, 0, 0, -40, 0, 0, 0, -8, 0, 0, 0, -32, 0, 0, 0, -72, 0, 0, 0, -8, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, 88, 0, 0, 0, 56, 0, 0, 0, 144, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 88, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, -72, 0, 0, 0, -160, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, -8, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, -232, 0, 0, 0, -8, 0, 0, 0, -64, 0, 0, 0, 108, 0, 0, 0, 16, 0, 0, 0, 120, 0, 0, 0, -200, 0, 0, 0, -112, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, -32, 0, 0, 0, 248, 0, 0, 0, 184, 0, 0, 0, 248, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 152, 0, 0, 0, 72, 0, 0, 0, 32, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 144, 0, 0, 0, 24, 0, 0, 0, -96, 0, 0, 0, -168, 0, 0, 0, -8, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 184, 0, 0, 0, 208, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 176, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, -96, 0, 0, 0, -192, 0, 0, 0, 72, 0, 0, 0, -336, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 88, 0, 0, 0, 160, 0, 0, 0, -72, 0, 0, 0, 80, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, -168, 0, 0, 0, -480, 0, 0, 0, 248, 0, 0, 0, -328, 0, 0, 0, 64, 0, 0, 0, 136, 0, 0, 0, -168, 0, 0, 0, 64, 0, 0, 0, 284, 0, 0, 0, -240, 0, 0, 0, -192, 0, 0, 0, -8, 0, 0, 0, -72, 0, 0, 0, -352, 0, 0, 0, -32, 0, 0, 0, -152, 0, 0, 0, -392, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 184, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 112, 0, 0, 0, -128, 0, 0, 0, 240, 0, 0, 0, 8, 0, 0, 0, 160, 0, 0, 0, -168, 0, 0, 0, -32, 0, 0, 0, -224, 0, 0, 0, 96, 0, 0, 0, -280, 0, 0, 0, 204, 0, 0, 0, -40, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 72, 0, 0, 0, -168, 0, 0, 0, -432, 0, 0, 0, 312, 0, 0, 0, -40, 0, 0, 0, -96, 0, 0, 0, 128, 0, 0, 0, 112, 0, 0, 0, -224, 0, 0, 0, 48, 0, 0, 0, -168, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -352, 0, 0, 0, -64, 0, 0, 0, -152, 0, 0, 0, -288, 0, 0, 0, -104, 0, 0, 0, 24, 0, 0, 0, -64, 0, 0, 0, 420, 0, 0, 0, -216, 0, 0, 0, -192, 0, 0, 0, 24, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -256, 0, 0, 0, 56, 0, 0, 0, -8, 0, 0, 0, -328, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, -480, 0, 0, 0, -272, 0, 0, 0, -80, 0, 0, 0, -488, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -24, 0, 0, 0, 88, 0, 0, 0, -256, 0, 0, 0, 152, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -360, 0, 0, 0, -608, 0, 0, 0, 76, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -104, 0, 0, 0, -296, 0, 0, 0, -80, 0, 0, 0, 64, 0, 0, 0, -96, 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: 48005761
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057594071486624, 'source_is_minimal': True, 'source_label': '4256.2.a.q.1.3', 'source_level': 4256, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071486624, 'target_is_minimal': True, 'target_label': '4256.2.a.q.1.3', 'target_level': 4256, 'twist_class_label': '4256.2.a.p.1.5', 'twist_class_level': 4256, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48005762
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057594071486624, 'source_is_minimal': True, 'source_label': '4256.2.a.q.1.3', 'source_level': 4256, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67553994444116128, 'target_is_minimal': True, 'target_label': '4256.2.a.p.1.5', 'target_level': 4256, 'twist_class_label': '4256.2.a.p.1.5', 'twist_class_level': 4256, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48005763
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057594071486624, 'source_is_minimal': True, 'source_label': '4256.2.a.q.1.3', 'source_level': 4256, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 270215977675792704, 'target_is_minimal': False, 'target_label': '8512.2.a.ci.1.3', 'target_level': 8512, 'twist_class_label': '4256.2.a.p.1.5', 'twist_class_level': 4256, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48005764
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057594071486624, 'source_is_minimal': True, 'source_label': '4256.2.a.q.1.3', 'source_level': 4256, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 265712378048422208, 'target_is_minimal': False, 'target_label': '8512.2.a.ch.1.5', 'target_level': 8512, 'twist_class_label': '4256.2.a.p.1.5', 'twist_class_level': 4256, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3545550
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 72057594071486624, 'p': 2}
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id: 3545551
{'charpoly_factorization': [[[8, -15, -45, 12, 31, -10, -3, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 3}
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id: 3545552
{'charpoly_factorization': [[[-18, 15, 73, -39, -64, -9, 5, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 5}
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id: 3545553
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 72057594071486624, 'p': 7}
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id: 3545554
{'charpoly_factorization': [[[-96, 639, -1007, 362, 123, -46, -3, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 11}
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id: 3545555
{'charpoly_factorization': [[[-192, 668, -286, -343, 62, 78, 16, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 13}
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id: 3545556
{'charpoly_factorization': [[[-96, -1112, -1850, -331, 442, -43, -8, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 17}
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id: 3545557
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 72057594071486624, 'p': 19}
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id: 3545558
{'charpoly_factorization': [[[9648, -11172, -5646, 1505, 520, -58, -10, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 23}
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id: 3545559
{'charpoly_factorization': [[[7758, -21399, 12825, 1696, -757, -68, 11, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 29}
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id: 3545560
{'charpoly_factorization': [[[27024, 137252, -63168, 105, 1948, -107, -14, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 31}
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id: 3545561
{'charpoly_factorization': [[[-5562, -1699, 2897, 439, -424, -21, 13, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 37}
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id: 3545562
{'charpoly_factorization': [[[-5988, 4589, 1827, -2316, 583, -14, -11, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 41}
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id: 3545563
{'charpoly_factorization': [[[-192, -432, -64, 380, 208, -11, -11, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 43}
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id: 3545564
{'charpoly_factorization': [[[508032, -30915, -58719, 7213, 1290, -179, -7, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 47}
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id: 3545565
{'charpoly_factorization': [[[-1443206, -126211, 96219, 9692, -1791, -192, 9, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 53}
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id: 3545566
{'charpoly_factorization': [[[-35964, 10211, 28457, -13383, 1630, 67, -23, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 59}
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id: 3545567
{'charpoly_factorization': [[[1799166, 1700883, 240991, -23195, -5552, -105, 23, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 61}
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id: 3545568
{'charpoly_factorization': [[[1405416, 57084, -103778, 1505, 2300, -101, -16, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 67}
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id: 3545569
{'charpoly_factorization': [[[2902, 1313, -7727, 3547, 420, -197, -3, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 71}
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id: 3545570
{'charpoly_factorization': [[[-248, 4000, 4160, 921, -250, -103, -4, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 73}
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id: 3545571
{'charpoly_factorization': [[[15363936, 1186768, -533064, -17172, 6738, -49, -29, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 79}
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id: 3545572
{'charpoly_factorization': [[[-118848, 124080, -36652, -679, 1764, -187, -6, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 83}
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id: 3545573
{'charpoly_factorization': [[[1293568, 683328, -226048, -2296, 4368, -219, -15, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 89}
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id: 3545574
{'charpoly_factorization': [[[561644, 663009, 229105, 12617, -3862, -291, 13, 1], 1]], 'hecke_orbit_code': 72057594071486624, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '4256.2.a.q', 'level': 4256, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61472089
{'hecke_orbit_code': 72057594071486624, 'n': 1, 'trace_an': 7}
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id: 61472090
{'hecke_orbit_code': 72057594071486624, 'n': 2, 'trace_an': 0}
-
id: 61472091
{'hecke_orbit_code': 72057594071486624, 'n': 3, 'trace_an': 3}
-
id: 61472092
{'hecke_orbit_code': 72057594071486624, 'n': 4, 'trace_an': 0}
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id: 61472093
{'hecke_orbit_code': 72057594071486624, 'n': 5, 'trace_an': -5}
-
id: 61472094
{'hecke_orbit_code': 72057594071486624, 'n': 6, 'trace_an': 0}
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id: 61472095
{'hecke_orbit_code': 72057594071486624, 'n': 7, 'trace_an': -7}
-
id: 61472096
{'hecke_orbit_code': 72057594071486624, 'n': 8, 'trace_an': 0}
-
id: 61472097
{'hecke_orbit_code': 72057594071486624, 'n': 9, 'trace_an': 8}
-
id: 61472098
{'hecke_orbit_code': 72057594071486624, 'n': 10, 'trace_an': 0}
-
id: 61472099
{'hecke_orbit_code': 72057594071486624, 'n': 11, 'trace_an': 3}
-
id: 61472100
{'hecke_orbit_code': 72057594071486624, 'n': 12, 'trace_an': 0}
-
id: 61472101
{'hecke_orbit_code': 72057594071486624, 'n': 13, 'trace_an': -16}
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id: 61472102
{'hecke_orbit_code': 72057594071486624, 'n': 14, 'trace_an': 0}
-
id: 61472103
{'hecke_orbit_code': 72057594071486624, 'n': 15, 'trace_an': 8}
-
id: 61472104
{'hecke_orbit_code': 72057594071486624, 'n': 16, 'trace_an': 0}
-
id: 61472105
{'hecke_orbit_code': 72057594071486624, 'n': 17, 'trace_an': 8}
-
id: 61472106
{'hecke_orbit_code': 72057594071486624, 'n': 18, 'trace_an': 0}
-
id: 61472107
{'hecke_orbit_code': 72057594071486624, 'n': 19, 'trace_an': -7}
-
id: 61472108
{'hecke_orbit_code': 72057594071486624, 'n': 20, 'trace_an': 0}
-
id: 61472109
{'hecke_orbit_code': 72057594071486624, 'n': 21, 'trace_an': -3}
-
id: 61472110
{'hecke_orbit_code': 72057594071486624, 'n': 22, 'trace_an': 0}
-
id: 61472111
{'hecke_orbit_code': 72057594071486624, 'n': 23, 'trace_an': 10}
-
id: 61472112
{'hecke_orbit_code': 72057594071486624, 'n': 24, 'trace_an': 0}
-
id: 61472113
{'hecke_orbit_code': 72057594071486624, 'n': 25, 'trace_an': 8}
-
id: 61472114
{'hecke_orbit_code': 72057594071486624, 'n': 26, 'trace_an': 0}
-
id: 61472115
{'hecke_orbit_code': 72057594071486624, 'n': 27, 'trace_an': 6}
-
id: 61472116
{'hecke_orbit_code': 72057594071486624, 'n': 28, 'trace_an': 0}
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