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{'Nk2': 16320, 'analytic_conductor': 32.5789640246824, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [17, -1]], 'atkin_lehner_string': '--+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4080, 1, [511, 3061, 1361, 817, 241], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [-4, 1]], [11, [-4, 1]], [13, [2, 1]], [19, [-4, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463079920, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4080.2.a.x', 'level': 4080, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '510.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4080/x'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4080.2.a', 'trace_display': [0, 1, -1, 4], 'trace_hash': 889235604775964580, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.072', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [4], [0], [1], [0], [4], [0], [-2], [0], [-1], [0], [1], [0], [4], [0], [4], [0], [4], [0], [1], [0], [1], [0], [2], [0], [-4], [0], [4], [0], [-4], [0], [-6], [0], [-2], [0], [2], [0], [12], [0], [-1], [0], [-8], [0], [9], [0], [1], [0], [-2], [0], [-4], [0], [4], [0], [-12], [0], [2], [0], [4], [0], [2], [0], [-4], [0], [4], [0], [4], [0], [-14], [0], [1], [0], [16], [0], [12], [0], [1], [0], [4], [0], [-1], [0], [2], [0], [10], [0], [-8], [0], [-4], [0], [-4], [0], [18], [0], [4], [0]], 'ap': [[0], [1], [-1], [4], [4], [-2], [1], [4], [4], [2], [-4], [-6], [2], [12], [-8], [-2], [-12], [2], [-4], [4], [-14], [12], [4], [10], [18], [-10], [0], [-12], [10], [-6], [16], [-20], [-6], [20], [-2], [8], [-10], [20], [-12], [-14], [-12], [-22], [8], [18], [-14], [-4], [-4], [8], [20], [6], [18], [24], [10], [28], [18], [16], [-30], [0], [2], [10], [20], [-26], [4], [-20], [10], [10], [-28], [-22], [-20], [22], [2], [24], [-28], [38], [-20], [-8], [-18], [-30], [-6], [10], [-12], [-18], [4], [-14], [12], [36], [-6], [10], [14], [-40], [-36], [-20], [-20], [12], [-4], [-44], [38], [18], [-28], [18], [-20], [-26], [36], [-6], [44], [18], [-44], [18], [-24], [-6], [-28], [-2], [-30], [28], [16], [-6], [-28], [16], [-30], [28], [14], [34], [18], [-36], [44], [-18], [-14], [44], [-8], [-18], [-12], [-28], [-12], [-34], [-6], [-46], [6], [-36], [-26], [18], [28], [-30], [28], [-44], [-34], [36], [-46], [-22], [-28], [-32], [-22], [-30], [28], [12], [-28], [-20], [56], [-6], [-22], [10], [28], [-6], [16], [-28], [-30], [28], [4], [-38], [-6], [18], [-60], [-10], [-12], [10], [-48], [42], [28], [18], [16], [-18], [8], [-20], [-54], [-22], [-24], [6], [34], [-44], [66], [-12], [26], [44], [4], [-10], [-44], [18], [50], [-46], [-54], [40], [42], [12], [14], [34], [-28], [14], [24], [-52], [42], [36], [2], [-66], [36], [-12], [4], [66], [-40], [-30], [28], [54], [-26], [52], [-46], [4], [28], [-2], [34], [-12], [-72], [28], [-34], [20], [8], [-6], [-12], [48], [-6], [18], [20], [24], [-76], [4], [-56], [-2], [-6], [-36], [4], [-60], [-28], [32], [70], [-46], [16], [-70], [30], [36], [58], [76], [-14], [-22], [52], [68], [26], [58], [2], [52], [-18], [42], [-20], [-42], [-6], [4], [10], [-8], [18], [-64], [60], [-10], [26], [-52], [40], [20], [-36], [-50], [84], [32], [-14], [34], [56], [50], [34], [-12], [-54], [68], [-62], [-14], [-8], [-2], [60], [20], [-54], [46], [20], [4], [76], [2], [-20], [2], [56], [46], [12], [-22], [-22], [-4], [24], [-70], [-12], [-44], [-86], [-30], [-44], [26], [70], [-56], [-6], [2], [76], [-76], [20], [66], [58], [-38], [-44], [20], [-4], [20], [-90], [-6], [26], [-72], [-26], [-22], [-30], [0], [-26], [-12], [58], [-44], [-28], [82], [-36], [-70], [6], [20], [70], [58], [0], [-36], [2], [32], [10], [26], [-40], [60], [-20], [-54], [-14], [-24], [-30], [60], [52], [92], [38], [24], [-22], [-28], [-84], [-62], [34], [-86], [18], [-22], [20], [-54], [52], [92], [-64], [46], [60], [16], [50], [-14], [36], [20], [48], [-22], [32], [58], [-28], [54], [34], [50], [-72], [26], [-18], [84], [-26], [-46], [36], [36], [-54], [38], [-84], [-68], [-38], [58], [36], [-4], [82], [0], [46], [-62], [36], [-36], [-6], [-2], [-36], [74], [60], [20]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 103582791463079920, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4080.2.a.x', 'level': 4080, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [17, -1]], 2, 2], [[[2, -1], [3, 1], [5, 1], [17, -1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [17, 1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [17, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [17, 1]], 5, 2], [[[2, -1], [3, 1], [5, -1], [17, -1]], 5, 3], [[[2, -1], [3, -1], [5, -1], [17, 1]], 6, 4], [[[2, 1], [3, 1], [5, 1], [17, 1]], 4, 4], [[[2, 1], [3, 1], [5, 1], [17, -1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [17, 1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [17, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [17, -1]], 4, 2], [[[2, 1], [3, -1], [5, -1], [17, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [17, 1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [17, -1]], 6, 4], [[[2, 1], [3, 1], [5, -1], [17, 1]], 3, 3]], 'ALdims': [4, 3, 3, 4, 5, 4, 4, 5, 5, 3, 3, 5, 2, 6, 6, 2], 'Nk2': 16320, 'analytic_conductor': 32.5789640246824, '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': [4080, 1, [511, 3061, 1361, 817, 241], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 841, 'dim': 64, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 33558512, '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4], 'label': '4080.2.a', 'level': 4080, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 888, 'mf_new_dim': 64, 'num_forms': 46, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 64, 'sturm_bound': 1728, 'trace_bound': 11, 'trace_display': [0, 4, 0, 0], 'traces': [64, 0, 4, 0, 0, 0, 0, 0, 64, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -16, 0, 64, 0, 4, 0, 32, 0, 8, 0, 0, 0, 0, 0, 32, 0, 8, 0, -16, 0, -8, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 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-256, 0, 24, 0, 0, 0, 256, 0, -64, 0, 448, 0, -32, 0, 72, 0, -128, 0, 96, 0, 32, 0, 128, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1187725
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4080.2.a.x', 'source_level': 4080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '510.2.a.c', 'target_level': 510, 'twist_class_label': '510.2.a.c', 'twist_class_level': 510, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1187726
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4080.2.a.x', 'source_level': 4080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1530.2.a.d', 'target_level': 1530, 'twist_class_label': '510.2.a.c', 'twist_class_level': 510, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1187727
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4080.2.a.x', 'source_level': 4080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2550.2.a.n', 'target_level': 2550, 'twist_class_label': '510.2.a.c', 'twist_class_level': 510, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1187728
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4080.2.a.x', 'source_level': 4080, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2550.2.d.b', 'target_level': 2550, 'twist_class_label': '510.2.a.c', 'twist_class_level': 510, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1187729
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4080.2.a.x', 'source_level': 4080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4080.2.a.x', 'target_level': 4080, 'twist_class_label': '510.2.a.c', 'twist_class_level': 510, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1187730
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4080.2.a.x', 'source_level': 4080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 66, 'target_is_minimal': False, 'target_label': '7650.2.a.cn', 'target_level': 7650, 'twist_class_label': '510.2.a.c', 'twist_class_level': 510, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1187731
{'conductor': 68, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4080.2.a.x', 'source_level': 4080, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8670.2.a.bb', 'target_level': 8670, 'twist_class_label': '510.2.a.c', 'twist_class_level': 510, 'twisting_char_label': '68.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3492625
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 2}
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id: 3492626
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 3}
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id: 3492627
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 5}
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id: 3492628
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 7}
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id: 3492629
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 11}
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id: 3492630
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 13}
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id: 3492631
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 17}
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id: 3492632
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 19}
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id: 3492633
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 23}
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id: 3492634
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 29}
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id: 3492635
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 31}
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id: 3492636
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 37}
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id: 3492637
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 41}
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id: 3492638
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 43}
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id: 3492639
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 47}
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id: 3492640
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 53}
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id: 3492641
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 59}
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id: 3492642
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 61}
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id: 3492643
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 67}
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id: 3492644
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 71}
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id: 3492645
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 73}
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id: 3492646
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 79}
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id: 3492647
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 83}
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id: 3492648
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 89}
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id: 3492649
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 103582791463079920, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '4080.2.a.x', 'level': 4080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255463000
{'hecke_orbit_code': 103582791463079920, 'n': 1, 'trace_an': 1}
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id: 255463001
{'hecke_orbit_code': 103582791463079920, 'n': 2, 'trace_an': 0}
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id: 255463002
{'hecke_orbit_code': 103582791463079920, 'n': 3, 'trace_an': 1}
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id: 255463003
{'hecke_orbit_code': 103582791463079920, 'n': 4, 'trace_an': 0}
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