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mf_newforms • Show schema
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{'Nk2': 21888, 'analytic_conductor': 43.694139986044625, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [5472, 1, [4447, 2053, 1217, 3745], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-4, 2, 1]], [7, [0, 1]], [11, [-20, 0, 1]], [13, [-4, 2, 1]], [23, [20, 10, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463081312, 'hecke_ring_generator_nbound': 5, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5472.2.a.x', 'level': 5472, '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, 19], 'level_radical': 114, 'minimal_twist': '5472.2.a.w', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta )q^{5}-2\\beta q^{11}+(-1+\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5472.2.a', 'trace_display': [0, 0, -2, 0], 'trace_hash': 1710009524061045777, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.055', 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mf_hecke_nf • Show schema
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-16], [-25, -5], [-20, 36], [35, -9], [18, 6], [-50, -22], [40, -6], [23, 21], [-35, 3], [40, -24], [56, 22], [42, 16], [-30, -30], [20, 12], [20, -4], [35, 25]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 103582791463081312, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '5472.2.a.x', 'level': 5472, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 9, 15, 12, 9, 9, 12, 15], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [100, 111, 101, 104, 115, 103, 104, 101], 'Nk2': 21888, 'analytic_conductor': 43.694139986044625, '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': [5472, 1, [4447, 2053, 1217, 3745], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 929, 'dim': 90, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13, 23], 'hecke_orbit_code': 33559904, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], 'label': '5472.2.a', 'level': 5472, '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, 19], 'level_radical': 114, 'mf_dim': 992, 'mf_new_dim': 90, 'num_forms': 48, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 90, 'sturm_bound': 1920, 'trace_bound': 19, 'trace_display': [0, 0, 4, 0], 'traces': [90, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 124, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -236, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 130, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -110, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 244, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -260, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -172, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 260, 0, 0, 0, -236, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 0, 250, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, -380, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1261436
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '5472.2.a.x', 'source_level': 5472, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': True, 'target_label': '5472.2.a.w', 'target_level': 5472, 'twist_class_label': '5472.2.a.w', 'twist_class_level': 5472, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1261437
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '5472.2.a.x', 'source_level': 5472, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': True, 'target_label': '5472.2.a.x', 'target_level': 5472, 'twist_class_label': '5472.2.a.w', 'twist_class_level': 5472, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1261438
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '5472.2.a.x', 'source_level': 5472, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '5472.2.a.bg', 'target_level': 5472, 'twist_class_label': '5472.2.a.w', 'twist_class_level': 5472, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1261439
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '5472.2.a.x', 'source_level': 5472, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': True, 'target_label': '5472.2.a.bh', 'target_level': 5472, 'twist_class_label': '5472.2.a.w', 'twist_class_level': 5472, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3907875
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463081312, 'p': 2}
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id: 3907876
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463081312, 'p': 3}
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id: 3907877
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 5}
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id: 3907878
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463081312, 'p': 7}
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id: 3907879
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 11}
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id: 3907880
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 13}
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id: 3907881
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 17}
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id: 3907882
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 103582791463081312, 'p': 19}
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id: 3907883
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 23}
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id: 3907884
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 103582791463081312, 'p': 29}
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id: 3907885
{'charpoly_factorization': [[[20, -10, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 31}
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id: 3907886
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 37}
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id: 3907887
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 103582791463081312, 'p': 41}
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id: 3907888
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 43}
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id: 3907889
{'charpoly_factorization': [[[-20, -10, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 47}
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id: 3907890
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 53}
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id: 3907891
{'charpoly_factorization': [[[80, 20, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 59}
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id: 3907892
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 61}
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id: 3907893
{'charpoly_factorization': [[[80, 20, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 67}
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id: 3907894
{'charpoly_factorization': [[[80, 20, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 71}
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id: 3907895
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 73}
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id: 3907896
{'charpoly_factorization': [[[-20, 10, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 79}
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id: 3907897
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 103582791463081312, 'p': 83}
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id: 3907898
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 103582791463081312, 'p': 89}
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id: 3907899
{'charpoly_factorization': [[[124, -24, 1], 1]], 'hecke_orbit_code': 103582791463081312, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '5472.2.a.x', 'level': 5472, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65974447
{'hecke_orbit_code': 103582791463081312, 'n': 1, 'trace_an': 2}
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id: 65974448
{'hecke_orbit_code': 103582791463081312, 'n': 2, 'trace_an': 0}
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id: 65974449
{'hecke_orbit_code': 103582791463081312, 'n': 3, 'trace_an': 0}
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id: 65974450
{'hecke_orbit_code': 103582791463081312, 'n': 4, 'trace_an': 0}
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id: 65974451
{'hecke_orbit_code': 103582791463081312, 'n': 5, 'trace_an': -2}
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id: 65974452
{'hecke_orbit_code': 103582791463081312, 'n': 6, 'trace_an': 0}
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id: 65974453
{'hecke_orbit_code': 103582791463081312, 'n': 7, 'trace_an': 0}
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id: 65974454
{'hecke_orbit_code': 103582791463081312, 'n': 8, 'trace_an': 0}
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id: 65974455
{'hecke_orbit_code': 103582791463081312, 'n': 9, 'trace_an': 0}
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id: 65974456
{'hecke_orbit_code': 103582791463081312, 'n': 10, 'trace_an': 0}
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id: 65974457
{'hecke_orbit_code': 103582791463081312, 'n': 11, 'trace_an': 0}
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id: 65974458
{'hecke_orbit_code': 103582791463081312, 'n': 12, 'trace_an': 0}
-
id: 65974459
{'hecke_orbit_code': 103582791463081312, 'n': 13, 'trace_an': -2}
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id: 65974460
{'hecke_orbit_code': 103582791463081312, 'n': 14, 'trace_an': 0}
-
id: 65974461
{'hecke_orbit_code': 103582791463081312, 'n': 15, 'trace_an': 0}
-
id: 65974462
{'hecke_orbit_code': 103582791463081312, 'n': 16, 'trace_an': 0}
-
id: 65974463
{'hecke_orbit_code': 103582791463081312, 'n': 17, 'trace_an': -4}
-
id: 65974464
{'hecke_orbit_code': 103582791463081312, 'n': 18, 'trace_an': 0}
-
id: 65974465
{'hecke_orbit_code': 103582791463081312, 'n': 19, 'trace_an': 2}
-
id: 65974466
{'hecke_orbit_code': 103582791463081312, 'n': 20, 'trace_an': 0}
-
id: 65974467
{'hecke_orbit_code': 103582791463081312, 'n': 21, 'trace_an': 0}
-
id: 65974468
{'hecke_orbit_code': 103582791463081312, 'n': 22, 'trace_an': 0}
-
id: 65974469
{'hecke_orbit_code': 103582791463081312, 'n': 23, 'trace_an': -10}
-
id: 65974470
{'hecke_orbit_code': 103582791463081312, 'n': 24, 'trace_an': 0}
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