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mf_newforms • Show schema
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{'Nk2': 13800, 'analytic_conductor': 27.548388697341732, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3450, 2, [1151, 277, 1201], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2899, 'conrey_indexes': [2899], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [-2, 1]], [13, [4, 0, 1]], [17, [0, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057800229916026, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3450.2.d.q', 'level': 3450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '690.2.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}-iq^{3}-q^{4}+q^{6}+2iq^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3450.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1897719878028951506, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.874', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.346', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, -1], [-1, 0], [0, 0], [1, 0], [0, 2], [0, -1], [-1, 0], [0, 0], [2, 0], [0, 1], [0, -2], [-2, 0], [0, 0], [1, 0], [0, 0], [0, -1], [-8, 0], [0, 0], [2, 0], [0, 2], [0, -1], [-1, 0], [0, 0], [2, 0], [0, 1], [0, -2], [10, 0], [0, 0], [8, 0], [0, 1], [0, -2], [0, 0], [0, 0], [1, 0], [0, -8], [0, -8], [-2, 0], [0, 0], [-6, 0], [0, 2], [0, 12], [-2, 0], [0, 0], [1, 0], [0, -8], [0, -1], [3, 0], [0, 0], [0, 0], [0, 2], [0, 10], [-1, 0], [0, 0], [2, 0], [0, 8], [0, 10], [-4, 0], [0, 0], [12, 0], [0, 8], [0, -2], [-1, 0], [0, 0], [2, 0], [0, 4], [0, 0], [-1, 0], [0, 0], [16, 0], [0, 1], [0, -10], [8, 0], [0, 0], [8, 0], [0, 4], [0, -2], [-10, 0], [0, 0], [1, 0], [0, -6], [0, -10], [-2, 0], [0, 0], [-12, 0], [0, -10], [0, -2], [0, 0], [0, 0], [4, 0], [0, 1], [0, -8], [8, 0], [0, 0], [1, 0], [0, -10], [0, 3], [-2, 0], [0, 0]], 'ap': [[0, 1], [0, -1], [0, 0], [0, 2], [2, 0], [0, -2], [0, 0], [-8, 0], [0, -1], [10, 0], [8, 0], [0, -8], [-6, 0], [0, 12], [0, -8], [0, 10], [-4, 0], [12, 0], [0, 4], [16, 0], [0, -10], [-10, 0], [0, -10], [0, 0], [0, -10], [10, 0], [0, -2], [0, 10], [8, 0], [0, 8], [0, 4], [-8, 0], [0, 12], [20, 0], [10, 0], [20, 0], [0, 8], [0, 4], [0, 8], [0, -2], [16, 0], [16, 0], [-16, 0], [0, 14], [0, -26], [14, 0], [4, 0], [0, -4], [0, -14], [16, 0], [0, -6], [16, 0], [10, 0], [-14, 0], [0, 6], [0, 4], [-18, 0], [28, 0], [0, 6], [-16, 0], [0, -16], [0, 2], [0, -28], [16, 0], [0, -10], [0, -6], [-12, 0], [0, -22], [0, 24], [6, 0], [0, 14], [-8, 0], [0, -18], [0, -24], [-8, 0], [0, 36], [2, 0], [0, 10], [-16, 0], [10, 0], [-30, 0], [-36, 0], [-28, 0], [0, 14], [-16, 0], [0, -28], [-18, 0], [0, -10], [-30, 0], [0, 8], [0, 6], [-24, 0], [0, 40], [0, 0], [4, 0], [0, 36], [-6, 0], [-12, 0], [0, 4], [-38, 0], [0, 20], [0, 2], [0, 6], [32, 0], [12, 0], [0, -2], [0, 0], [0, -6], [-32, 0], [10, 0], [0, -12], [0, -44], [0, -48], [8, 0], [-2, 0], [0, 0], [0, 4], [0, 40], [0, -6], [30, 0], [-28, 0], [0, -46], [0, -46], [0, 24], [-52, 0], [-6, 0], [-28, 0], [-16, 0], [0, -14], [0, -52], [-44, 0], [0, -28], [26, 0], [0, 8], [30, 0], [10, 0], [0, -6], [0, 4], [0, -6], [-30, 0], [12, 0], [42, 0], [0, 24], [0, 6], [-10, 0], [12, 0], [0, -10], [0, -18], [4, 0], [0, 0], [0, 22], [0, 0], [0, 20], [0, 0], [0, -40], [-36, 0], [-26, 0], [6, 0], [0, 30], [-34, 0], [0, 8], [0, 8], [0, 56], [30, 0], [0, 20], [0, 36], [16, 0], [0, 38], [6, 0], [0, 18], [46, 0], [50, 0], [-44, 0], [0, 14], [20, 0], [-36, 0], [-12, 0], [-26, 0], [0, 14], [56, 0], [0, -16], [-30, 0], [0, -22], [0, -6], [0, 4], [26, 0], [0, -6], [0, -44], [42, 0], [24, 0], [0, 14], [0, 24], [-20, 0], [-34, 0], [0, -6], [0, 44], [26, 0], [0, -12], [0, 20], [0, -24], [18, 0], [20, 0], [0, -50], [-38, 0], [-42, 0], [0, 10], [34, 0], [0, -52], [14, 0], [-28, 0], [0, 18], [54, 0], [0, -6], [0, 62], [-48, 0], [-2, 0], [0, -52], [38, 0], [0, 24], [0, -34], [14, 0], [30, 0], [-6, 0], [0, -66], [0, -44], [-6, 0], [0, -56], [24, 0], [0, 38], [4, 0], [0, -14], [8, 0], [-14, 0], [-58, 0], [0, 56], [0, -12], [62, 0], [0, 6], [0, 0], [56, 0], [0, -2], [-52, 0], [0, 40], [-62, 0], [0, -54], [56, 0], [0, 44], [-18, 0], [56, 0], [0, 48], [0, 24], [-4, 0], [0, 68], [-22, 0], [0, -18], [44, 0], [-48, 0], [0, 44], [0, -58], [0, -22], [0, -34], [0, -38], [30, 0], [0, -28], [0, -18], [-8, 0], [-54, 0], [-12, 0], [0, 56], [0, -6], [-6, 0], [0, -12], [0, -66], [6, 0], [0, 70], [0, -8], [0, 28], [26, 0], [34, 0], [42, 0], [0, -56], [-50, 0], [0, -40], [-20, 0], [0, 12], [-16, 0], [0, 26], [0, 42], [-64, 0], [18, 0], [30, 0], [0, 18], [0, 62], [-10, 0], [0, 34], [-86, 0], [-10, 0], [0, 58], [-44, 0], [0, -52], [0, 86], [0, 10], [-6, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 72057800229916026, 'hecke_ring_character_values': [[1151, [1, 0]], [277, [-1, 0]], [1201, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3450.2.d.q', 'level': 3450, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 13800, 'analytic_conductor': 27.548388697341732, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3450, 2, [1151, 277, 1201], [2, 1, 2]], 'conrey_index': 2899, 'cusp_dim': 696, 'dim': 68, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 206191988090, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6], 'label': '3450.2.d', 'level': 3450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 744, 'mf_new_dim': 68, 'num_forms': 27, 'prim_orbit_index': 2, 'relative_dim': 68, 'sturm_bound': 1440, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [68, 0, 0, -68, 0, 4, 0, 0, -68, 0, 0, 0, 0, 0, 0, 68, 0, 0, -8, 0, 8, 0, 0, -4, 0, 24, 0, 0, -8, 0, 0, 0, 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-216, 0, 48, 0, 0, -280, 0, 144, 0, 0, 24, 0, 416, 0, 0, 256, 0, 240, 0, 0, -576, 0, -40, 0, 0, -32, 0, 160, 0, 0, 672, 0, -688, 0, 0, 0, 0, 96, 0, 0, -240, 0, 336, 0, 0, 8, 0, 16, 0, 0, -224, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1099510
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3450.2.d.q', 'source_level': 3450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '690.2.a.c', 'target_level': 690, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1099511
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3450.2.d.q', 'source_level': 3450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2070.2.a.k', 'target_level': 2070, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1099512
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3450.2.d.q', 'source_level': 3450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3450.2.a.z', 'target_level': 3450, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1099513
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3450.2.d.q', 'source_level': 3450, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3450.2.d.q', 'target_level': 3450, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1099514
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3450.2.d.q', 'source_level': 3450, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3450.2.d.q', 'target_level': 3450, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1099515
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3450.2.d.q', 'source_level': 3450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '5520.2.a.bg', 'target_level': 5520, 'twist_class_label': '690.2.a.c', 'twist_class_level': 690, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3183750
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 2}
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id: 3183751
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 3}
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id: 3183752
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 5}
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id: 3183753
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 7}
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id: 3183754
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 11}
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id: 3183755
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 13}
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id: 3183756
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 17}
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id: 3183757
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 19}
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id: 3183758
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 23}
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id: 3183759
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 29}
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id: 3183760
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 31}
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id: 3183761
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 37}
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id: 3183762
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 41}
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id: 3183763
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 43}
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id: 3183764
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 47}
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id: 3183765
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 53}
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id: 3183766
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 59}
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id: 3183767
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 61}
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id: 3183768
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 67}
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id: 3183769
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 71}
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id: 3183770
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 73}
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id: 3183771
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 79}
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id: 3183772
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 83}
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id: 3183773
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057800229916026, 'p': 89}
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id: 3183774
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 72057800229916026, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 17, 'label': '3450.2.d.q', 'level': 3450, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 240481000
{'hecke_orbit_code': 72057800229916026, 'n': 1, 'trace_an': 2}
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id: 240481001
{'hecke_orbit_code': 72057800229916026, 'n': 2, 'trace_an': 0}
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id: 240481002
{'hecke_orbit_code': 72057800229916026, 'n': 3, 'trace_an': 0}
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id: 240481003
{'hecke_orbit_code': 72057800229916026, 'n': 4, 'trace_an': -2}
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id: 240481004
{'hecke_orbit_code': 72057800229916026, 'n': 5, 'trace_an': 0}
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id: 240481005
{'hecke_orbit_code': 72057800229916026, 'n': 6, 'trace_an': 2}
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id: 240481006
{'hecke_orbit_code': 72057800229916026, 'n': 7, 'trace_an': 0}
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id: 240481007
{'hecke_orbit_code': 72057800229916026, 'n': 8, 'trace_an': 0}
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id: 240481008
{'hecke_orbit_code': 72057800229916026, 'n': 9, 'trace_an': -2}
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id: 240481009
{'hecke_orbit_code': 72057800229916026, 'n': 10, 'trace_an': 0}
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id: 240481010
{'hecke_orbit_code': 72057800229916026, 'n': 11, 'trace_an': 4}
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id: 240481011
{'hecke_orbit_code': 72057800229916026, 'n': 12, 'trace_an': 0}
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id: 240481012
{'hecke_orbit_code': 72057800229916026, 'n': 13, 'trace_an': 0}
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id: 240481013
{'hecke_orbit_code': 72057800229916026, 'n': 14, 'trace_an': -4}
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{'hecke_orbit_code': 72057800229916026, 'n': 1000, 'trace_an': 0}