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{'Nk2': 16560, 'analytic_conductor': 33.05806643681008, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [23, 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': [4140, 1, [2071, 461, 1657, 3961], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 14345904, 'field_disc_factorization': [[2, 4], [3, 1], [47, 1], [6359, 1]], 'field_poly': [-12, -11, 34, -13, -2, 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': [[7, [2, 23, 46, -16, -4, 1]], [11, [432, 84, -108, -26, 4, 1]], [13, [-72, 372, 88, -50, -2, 1]], [17, [666, 119, -156, -44, 2, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953597996, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4140.2.a.t', 'level': 4140, '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, 5, 23], 'level_radical': 690, 'minimal_twist': '4140.2.a.t', 'nf_label': '5.5.14345904.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+(1+\\beta _{3})q^{7}+(-1+\\beta _{4})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4140.2.a', 'trace_display': [0, 0, -5, 4], 'trace_hash': 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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 3, 5, 5, 6, 6, 5], 'Nk2': 16560, 'analytic_conductor': 33.05806643681008, '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': [4140, 1, [2071, 461, 1657, 3961], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 841, 'dim': 38, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558572, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5], 'label': '4140.2.a', 'level': 4140, '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, 5, 23], 'level_radical': 690, 'mf_dim': 888, 'mf_new_dim': 38, 'num_forms': 21, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 38, 'sturm_bound': 1728, 'trace_bound': 13, 'trace_display': [0, 0, 0, -4], 'traces': [38, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 38, 0, 0, 0, 10, 0, 14, 0, 0, 0, -6, 0, 12, 0, 0, 0, -10, 0, 32, 0, 0, 0, -12, 0, 40, 0, 0, 0, -4, 0, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, -38, 0, 12, 0, 0, 0, -4, 0, -28, 0, 0, 0, 20, 0, -10, 0, 0, 0, 20, 0, 12, 0, 0, 0, 8, 0, -8, 0, 0, 0, 38, 0, -24, 0, 0, 0, -20, 0, -20, 0, 0, 0, -28, 0, 2, 0, 0, 0, 2, 0, 62, 0, 0, 0, 0, 0, 24, 0, 0, 0, 36, 0, 44, 0, 0, 0, 16, 0, -6, 0, 0, 0, 8, 0, 8, 0, 0, 0, 24, 0, -4, 0, 0, 0, 16, 0, 4, 0, 0, 0, -2, 0, 60, 0, 0, 0, 64, 0, 46, 0, 0, 0, -4, 0, -4, 0, 0, 0, -92, 0, -12, 0, 0, 0, -6, 0, 28, 0, 0, 0, 32, 0, -40, 0, 0, 0, -4, 0, 52, 0, 0, 0, 60, 0, -8, 0, 0, 0, -56, 0, 10, 0, 0, 0, 12, 0, 12, 0, 0, 0, -76, 0, 40, 0, 0, 0, 32, 0, 48, 0, 0, 0, -44, 0, -20, 0, 0, 0, 62, 0, 12, 0, 0, 0, -8, 0, 64, 0, 0, 0, 12, 0, 12, 0, 0, 0, -4, 0, 34, 0, 0, 0, 92, 0, -10, 0, 0, 0, 54, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 60, 0, 0, 0, 76, 0, 28, 0, 0, 0, 36, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 56, 0, 0, 0, 20, 0, 36, 0, 0, 0, -112, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 36, 0, -2, 0, 0, 0, -46, 0, 56, 0, 0, 0, 24, 0, 100, 0, 0, 0, -96, 0, -38, 0, 0, 0, -40, 0, -8, 0, 0, 0, 36, 0, -34, 0, 0, 0, 32, 0, -4, 0, 0, 0, 130, 0, -80, 0, 0, 0, 72, 0, -4, 0, 0, 0, -76, 0, -40, 0, 0, 0, -60, 0, -2, 0, 0, 0, -24, 0, -16, 0, 0, 0, -92, 0, -72, 0, 0, 0, 116, 0, -26, 0, 0, 0, 36, 0, 38, 0, 0, 0, 84, 0, -172, 0, 0, 0, 4, 0, 60, 0, 0, 0, 24, 0, -36, 0, 0, 0, -20, 0, 84, 0, 0, 0, 112, 0, -8, 0, 0, 0, 30, 0, 48, 0, 0, 0, 20, 0, -60, 0, 0, 0, 40, 0, -44, 0, 0, 0, -4, 0, -62, 0, 0, 0, -168, 0, 8, 0, 0, 0, 40, 0, -28, 0, 0, 0, -8, 0, -96, 0, 0, 0, -14, 0, -76, 0, 0, 0, -116, 0, -22, 0, 0, 0, 28, 0, -16, 0, 0, 0, -16, 0, -56, 0, 0, 0, 8, 0, -128, 0, 0, 0, -176, 0, -24, 0, 0, 0, -36, 0, 38, 0, 0, 0, -72, 0, -30, 0, 0, 0, 56, 0, -88, 0, 0, 0, -36, 0, 72, 0, 0, 0, -192, 0, -148, 0, 0, 0, 36, 0, -24, 0, 0, 0, 100, 0, 42, 0, 0, 0, 56, 0, -52, 0, 0, 0, 0, 0, -20, 0, 0, 0, -86, 0, 132, 0, 0, 0, -68, 0, -56, 0, 0, 0, 76, 0, -8, 0, 0, 0, 40, 0, -14, 0, 0, 0, -16, 0, 20, 0, 0, 0, -132, 0, 8, 0, 0, 0, 84, 0, -20, 0, 0, 0, -108, 0, 38, 0, 0, 0, -150, 0, 16, 0, 0, 0, 0, 0, -88, 0, 0, 0, 64, 0, 92, 0, 0, 0, 152, 0, -72, 0, 0, 0, 144, 0, 0, 0, 0, 0, -52, 0, -16, 0, 0, 0, -16, 0, -8, 0, 0, 0, 56, 0, 32, 0, 0, 0, -20, 0, 148, 0, 0, 0, -92, 0, -36, 0, 0, 0, -148, 0, 80, 0, 0, 0, 16, 0, 76, 0, 0, 0, 32, 0, 108, 0, 0, 0, -20, 0, 8, 0, 0, 0, -40, 0, -4, 0, 0, 0, -22, 0, 40, 0, 0, 0, 10, 0, 124, 0, 0, 0, -128, 0, -276, 0, 0, 0, 52, 0, -114, 0, 0, 0, -112, 0, -24, 0, 0, 0, -102, 0, 124, 0, 0, 0, -48, 0, 36, 0, 0, 0, 14, 0, 64, 0, 0, 0, 0, 0, 12, 0, 0, 0, -48, 0, 14, 0, 0, 0, -8, 0, -112, 0, 0, 0, -18, 0, -124, 0, 0, 0, 122, 0, -80, 0, 0, 0, -108, 0, -100, 0, 0, 0, -240, 0, 8, 0, 0, 0, 70, 0, -74, 0, 0, 0, 56, 0, -72, 0, 0, 0, 28, 0, -164, 0, 0, 0, -220, 0, -110, 0, 0, 0, 176, 0, 16, 0, 0, 0, -68, 0, -88, 0, 0, 0, 48, 0, 28, 0, 0, 0, 14, 0, 12, 0, 0, 0, -52, 0, -34, 0, 0, 0, 64, 0, 4, 0, 0, 0, -88, 0, 84, 0, 0, 0, -6, 0, -148, 0, 0, 0, 100, 0, -48, 0, 0, 0, -80, 0, 8, 0, 0, 0, -72, 0, -8, 0, 0, 0, -70, 0, -126, 0, 0, 0, -8, 0, 108, 0, 0, 0, 88, 0, -36, 0, 0, 0, 40, 0, 72, 0, 0, 0, -104, 0, 12, 0, 0, 0, -22, 0, -48, 0, 0, 0, 8, 0, -136, 0, 0, 0, 44, 0, 16, 0, 0, 0, 100, 0, -4, 0, 0, 0, 144, 0, -16, 0, 0, 0, 52, 0, 212, 0, 0, 0, 16, 0, -244, 0, 0, 0, 100, 0, -20, 0, 0, 0, 108, 0, 8, 0, 0, 0, 124, 0, 24, 0, 0, 0, -8, 0, 162, 0, 0, 0, 60, 0, -96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48255890
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 85568392953597996, 'source_is_minimal': True, 'source_label': '4140.2.a.t.1.4', 'source_level': 4140, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568392953597996, 'target_is_minimal': True, 'target_label': '4140.2.a.t.1.4', 'target_level': 4140, 'twist_class_label': '4140.2.a.t.1.4', 'twist_class_level': 4140, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48255891
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 85568392953597996, 'source_is_minimal': True, 'source_label': '4140.2.a.t.1.4', 'source_level': 4140, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90071992580968492, 'target_is_minimal': True, 'target_label': '4140.2.a.u.1.4', 'target_level': 4140, 'twist_class_label': '4140.2.a.t.1.4', 'twist_class_level': 4140, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3509600
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 85568392953597996, 'p': 2}
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id: 3509601
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 85568392953597996, 'p': 3}
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id: 3509602
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 85568392953597996, 'p': 5}
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id: 3509603
{'charpoly_factorization': [[[2, 23, 46, -16, -4, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 7}
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id: 3509604
{'charpoly_factorization': [[[432, 84, -108, -26, 4, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 11}
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id: 3509605
{'charpoly_factorization': [[[-72, 372, 88, -50, -2, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 13}
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id: 3509606
{'charpoly_factorization': [[[666, 119, -156, -44, 2, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 17}
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id: 3509607
{'charpoly_factorization': [[[72, 156, 64, -18, -6, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 19}
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id: 3509608
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 85568392953597996, 'p': 23}
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id: 3509609
{'charpoly_factorization': [[[252, 53, -114, -38, 2, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 29}
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id: 3509610
{'charpoly_factorization': [[[-112, -15, 648, -82, -8, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 31}
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id: 3509611
{'charpoly_factorization': [[[122, -1137, 498, -40, -8, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 37}
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id: 3509612
{'charpoly_factorization': [[[-18048, 8845, -46, -190, 2, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 41}
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id: 3509613
{'charpoly_factorization': [[[-3744, 1008, 952, -12, -18, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 43}
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id: 3509614
{'charpoly_factorization': [[[7344, 5004, 132, -170, -4, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 47}
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id: 3509615
{'charpoly_factorization': [[[-6426, 4023, 612, -172, -2, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 53}
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id: 3509616
{'charpoly_factorization': [[[18804, 3973, -678, -134, 6, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 59}
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id: 3509617
{'charpoly_factorization': [[[376, 2444, 1008, -138, -10, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 61}
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id: 3509618
{'charpoly_factorization': [[[27618, -13977, 2210, -48, -16, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 67}
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id: 3509619
{'charpoly_factorization': [[[816, 4381, -638, -118, 10, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 71}
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id: 3509620
{'charpoly_factorization': [[[-136, -556, 64, 78, -18, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 73}
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id: 3509621
{'charpoly_factorization': [[[-4608, 8448, 1696, -176, -14, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 79}
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id: 3509622
{'charpoly_factorization': [[[33876, 27839, -1548, -332, 8, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 83}
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id: 3509623
{'charpoly_factorization': [[[1152, -1536, 480, 40, -18, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 89}
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id: 3509624
{'charpoly_factorization': [[[-32, -336, -728, -188, -6, 1], 1]], 'hecke_orbit_code': 85568392953597996, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '4140.2.a.t', 'level': 4140, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63699145
{'hecke_orbit_code': 85568392953597996, 'n': 1, 'trace_an': 5}
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id: 63699146
{'hecke_orbit_code': 85568392953597996, 'n': 2, 'trace_an': 0}
-
id: 63699147
{'hecke_orbit_code': 85568392953597996, 'n': 3, 'trace_an': 0}
-
id: 63699148
{'hecke_orbit_code': 85568392953597996, 'n': 4, 'trace_an': 0}
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id: 63699149
{'hecke_orbit_code': 85568392953597996, 'n': 5, 'trace_an': -5}
-
id: 63699150
{'hecke_orbit_code': 85568392953597996, 'n': 6, 'trace_an': 0}
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id: 63699151
{'hecke_orbit_code': 85568392953597996, 'n': 7, 'trace_an': 4}
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id: 63699152
{'hecke_orbit_code': 85568392953597996, 'n': 8, 'trace_an': 0}
-
id: 63699153
{'hecke_orbit_code': 85568392953597996, 'n': 9, 'trace_an': 0}
-
id: 63699154
{'hecke_orbit_code': 85568392953597996, 'n': 10, 'trace_an': 0}
-
id: 63699155
{'hecke_orbit_code': 85568392953597996, 'n': 11, 'trace_an': -4}
-
id: 63699156
{'hecke_orbit_code': 85568392953597996, 'n': 12, 'trace_an': 0}
-
id: 63699157
{'hecke_orbit_code': 85568392953597996, 'n': 13, 'trace_an': 2}
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id: 63699158
{'hecke_orbit_code': 85568392953597996, 'n': 14, 'trace_an': 0}
-
id: 63699159
{'hecke_orbit_code': 85568392953597996, 'n': 15, 'trace_an': 0}
-
id: 63699160
{'hecke_orbit_code': 85568392953597996, 'n': 16, 'trace_an': 0}
-
id: 63699161
{'hecke_orbit_code': 85568392953597996, 'n': 17, 'trace_an': -2}
-
id: 63699162
{'hecke_orbit_code': 85568392953597996, 'n': 18, 'trace_an': 0}
-
id: 63699163
{'hecke_orbit_code': 85568392953597996, 'n': 19, 'trace_an': 6}
-
id: 63699164
{'hecke_orbit_code': 85568392953597996, 'n': 20, 'trace_an': 0}
-
id: 63699165
{'hecke_orbit_code': 85568392953597996, 'n': 21, 'trace_an': 0}
-
id: 63699166
{'hecke_orbit_code': 85568392953597996, 'n': 22, 'trace_an': 0}
-
id: 63699167
{'hecke_orbit_code': 85568392953597996, 'n': 23, 'trace_an': -5}
-
id: 63699168
{'hecke_orbit_code': 85568392953597996, 'n': 24, 'trace_an': 0}
-
id: 63699169
{'hecke_orbit_code': 85568392953597996, 'n': 25, 'trace_an': 5}
-
id: 63699170
{'hecke_orbit_code': 85568392953597996, 'n': 26, 'trace_an': 0}
-
id: 63699171
{'hecke_orbit_code': 85568392953597996, 'n': 27, 'trace_an': 0}
-
id: 63699172
{'hecke_orbit_code': 85568392953597996, 'n': 28, 'trace_an': 0}
-
id: 63699173
{'hecke_orbit_code': 85568392953597996, 'n': 29, 'trace_an': -2}
-
id: 63699174
{'hecke_orbit_code': 85568392953597996, 'n': 30, 'trace_an': 0}
-
id: 63699175
{'hecke_orbit_code': 85568392953597996, 'n': 31, 'trace_an': 8}
-
id: 63699176
{'hecke_orbit_code': 85568392953597996, 'n': 32, 'trace_an': 0}
-
id: 63699177
{'hecke_orbit_code': 85568392953597996, 'n': 33, 'trace_an': 0}
-
id: 63699178
{'hecke_orbit_code': 85568392953597996, 'n': 34, 'trace_an': 0}
-
id: 63699179
{'hecke_orbit_code': 85568392953597996, 'n': 35, 'trace_an': -4}
-
id: 63699180
{'hecke_orbit_code': 85568392953597996, 'n': 36, 'trace_an': 0}
-
id: 63699181
{'hecke_orbit_code': 85568392953597996, 'n': 37, 'trace_an': 8}
-
id: 63699182
{'hecke_orbit_code': 85568392953597996, 'n': 38, 'trace_an': 0}
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