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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, [0, 1]], [11, [-4, 1]], [13, [4, 0, 1]], [17, [4, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029003210952058, '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.i', '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.f', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{8}-q^{9}+\\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': 376718631161204024, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.061', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.106', '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, 0], [0, 1], [-1, 0], [0, 0], [4, 0], [0, 1], [0, 2], [0, 0], [0, 0], [1, 0], [0, 2], [0, 1], [0, 0], [0, 0], [0, 0], [0, -4], [0, -1], [1, 0], [0, 0], [2, 0], [0, 1], [0, 0], [-6, 0], [0, 0], [0, 0], [0, -1], [0, -4], [2, 0], [0, 0], [1, 0], [0, 2], [0, 0], [2, 0], [0, 0], [2, 0], [0, 0], [0, 12], [-4, 0], [0, 0], [-1, 0], [0, 8], [0, -1], [7, 0], [0, 0], [2, 0], [0, -2], [0, 2], [1, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 0], [6, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [-4, 0], [0, 12], [0, -2], [-1, 0], [0, 0], [12, 0], [0, -1], [0, 6], [2, 0], [0, 0], [0, 0], [0, 0], [0, -2], [-4, 0], [0, 0], [1, 0], [0, -2], [0, 4], [0, 0], [0, 0], [12, 0], [0, 6], [0, 4], [6, 0], [0, 0], [0, 0], [0, 1], [0, 0], [8, 0], [0, 0], [-1, 0], [0, -10], [0, -7], [-4, 0], [0, 0]], 'ap': [[0, -1], [0, -1], [0, 0], [0, 0], [4, 0], [0, 2], [0, 2], [0, 0], [0, -1], [-6, 0], [0, 0], [0, 2], [2, 0], [0, 12], [0, 8], [0, 2], [0, 0], [6, 0], [0, 12], [12, 0], [0, 6], [-4, 0], [0, 4], [6, 0], [0, -10], [6, 0], [0, -8], [0, -4], [2, 0], [0, 6], [0, -16], [0, 0], [0, -14], [-4, 0], [10, 0], [-16, 0], [0, -14], [0, 20], [0, 8], [0, 14], [8, 0], [6, 0], [16, 0], [0, 6], [0, -22], [4, 0], [4, 0], [0, -16], [0, -12], [-14, 0], [0, 26], [12, 0], [-22, 0], [12, 0], [0, 22], [0, -8], [18, 0], [-8, 0], [0, 14], [10, 0], [0, -28], [0, 18], [0, 12], [-12, 0], [0, -22], [0, -6], [-12, 0], [0, 22], [0, 12], [2, 0], [0, 10], [0, 0], [0, 16], [0, -10], [-8, 0], [0, -24], [-6, 0], [0, -10], [18, 0], [-10, 0], [12, 0], [-2, 0], [32, 0], [0, 26], [0, 0], [0, -36], [14, 0], [0, -2], [30, 0], [0, -8], [0, 36], [24, 0], [0, 16], [-32, 0], [-12, 0], [0, 0], [26, 0], [-22, 0], [0, 20], [-34, 0], [0, -36], [0, -26], [0, 20], [-42, 0], [-40, 0], [0, 10], [0, 28], [0, 42], [-44, 0], [26, 0], [0, -8], [0, -10], [0, 18], [8, 0], [-20, 0], [18, 0], [0, -28], [0, 16], [0, 30], [-12, 0], [30, 0], [0, -34], [0, 6], [0, -44], [-44, 0], [-2, 0], [50, 0], [4, 0], [0, 32], [0, 14], [20, 0], [0, -16], [-44, 0], [0, 50], [42, 0], [-10, 0], [0, -6], [0, -4], [0, 38], [-18, 0], [-28, 0], [-2, 0], [0, -16], [0, -20], [2, 0], [-56, 0], [0, -30], [0, 6], [52, 0], [0, 0], [0, 14], [2, 0], [0, -12], [0, 8], [0, -20], [40, 0], [-36, 0], [30, 0], [0, 22], [-50, 0], [0, 12], [0, 6], [0, -32], [-36, 0], [0, 26], [0, -56], [16, 0], [0, -26], [6, 0], [0, 14], [-36, 0], [30, 0], [0, 0], [0, 26], [24, 0], [-10, 0], [-52, 0], [38, 0], [0, 8], [-46, 0], [0, -16], [36, 0], [0, -62], [0, -42], [0, 40], [-6, 0], [0, -2], [0, 44], [-26, 0], [4, 0], [0, -10], [0, 52], [-64, 0], [6, 0], [0, -4], [0, -42], [-22, 0], [0, 54], [0, -14], [0, -24], [2, 0], [-40, 0], [0, -18], [-26, 0], [-12, 0], [0, -62], [4, 0], [0, -44], [-66, 0], [20, 0], [0, 2], [30, 0], [0, -32], [0, 28], [-12, 0], [18, 0], [0, -8], [18, 0], [0, -56], [0, -2], [6, 0], [-68, 0], [-26, 0], [0, 64], [0, 12], [10, 0], [0, -50], [-44, 0], [0, -40], [-24, 0], [0, 42], [56, 0], [44, 0], [-14, 0], [0, 52], [0, -72], [46, 0], [0, 66], [56, 0], [-20, 0], [0, -12], [44, 0], [0, -64], [66, 0], [0, -62], [76, 0], [0, 64], [-36, 0], [-16, 0], [0, -24], [0, -22], [18, 0], [0, -32], [-26, 0], [0, 30], [48, 0], [54, 0], [0, -20], [0, 18], [0, 2], [0, -16], [0, 76], [10, 0], [0, -2], [0, -42], [-80, 0], [34, 0], [58, 0], [0, 12], [0, -82], [-50, 0], [0, 20], [0, -70], [-44, 0], [0, 18], [0, -80], [0, -12], [82, 0], [2, 0], [76, 0], [0, -72], [68, 0], [0, -32], [54, 0], [0, -68], [12, 0], [0, 18], [0, -34], [32, 0], [78, 0], [-50, 0], [0, 20], [0, 18], [-60, 0], [0, -46], [-30, 0], [20, 0], [0, 30], [88, 0], [0, 52], [0, -86], [0, 22], [-60, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 36029003210952058, '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.i', '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: 1099464
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3450.2.d.i', 'source_level': 3450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '690.2.a.f', 'target_level': 690, 'twist_class_label': '690.2.a.f', 'twist_class_level': 690, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1099465
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3450.2.d.i', 'source_level': 3450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2070.2.a.m', 'target_level': 2070, 'twist_class_label': '690.2.a.f', 'twist_class_level': 690, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1099466
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3450.2.d.i', 'source_level': 3450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3450.2.a.q', 'target_level': 3450, 'twist_class_label': '690.2.a.f', 'twist_class_level': 690, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1099467
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3450.2.d.i', 'source_level': 3450, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3450.2.d.i', 'target_level': 3450, 'twist_class_label': '690.2.a.f', 'twist_class_level': 690, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1099468
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3450.2.d.i', 'source_level': 3450, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3450.2.d.i', 'target_level': 3450, 'twist_class_label': '690.2.a.f', 'twist_class_level': 690, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1099469
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '3450.2.d.i', 'source_level': 3450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '5520.2.a.j', 'target_level': 5520, 'twist_class_label': '690.2.a.f', '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: 3183525
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 2}
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id: 3183526
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 3}
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id: 3183527
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 5}
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id: 3183528
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 7}
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id: 3183529
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 11}
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id: 3183530
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 13}
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id: 3183531
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 17}
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id: 3183532
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 19}
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id: 3183533
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 23}
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id: 3183534
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 29}
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id: 3183535
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 31}
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id: 3183536
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 37}
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id: 3183537
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 41}
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id: 3183538
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 43}
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id: 3183539
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 47}
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id: 3183540
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 53}
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id: 3183541
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 59}
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id: 3183542
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 61}
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id: 3183543
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 67}
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id: 3183544
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 71}
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id: 3183545
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 73}
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id: 3183546
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 79}
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id: 3183547
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 83}
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id: 3183548
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 36029003210952058, 'p': 89}
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id: 3183549
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 36029003210952058, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 9, 'label': '3450.2.d.i', 'level': 3450, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 201554000
{'hecke_orbit_code': 36029003210952058, 'n': 1, 'trace_an': 2}
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id: 201554001
{'hecke_orbit_code': 36029003210952058, 'n': 2, 'trace_an': 0}
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id: 201554002
{'hecke_orbit_code': 36029003210952058, 'n': 3, 'trace_an': 0}
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id: 201554003
{'hecke_orbit_code': 36029003210952058, 'n': 4, 'trace_an': -2}
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id: 201554004
{'hecke_orbit_code': 36029003210952058, 'n': 5, 'trace_an': 0}
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id: 201554005
{'hecke_orbit_code': 36029003210952058, 'n': 6, 'trace_an': -2}
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id: 201554006
{'hecke_orbit_code': 36029003210952058, 'n': 7, 'trace_an': 0}
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id: 201554007
{'hecke_orbit_code': 36029003210952058, 'n': 8, 'trace_an': 0}
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id: 201554008
{'hecke_orbit_code': 36029003210952058, 'n': 9, 'trace_an': -2}
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id: 201554009
{'hecke_orbit_code': 36029003210952058, 'n': 10, 'trace_an': 0}
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id: 201554010
{'hecke_orbit_code': 36029003210952058, 'n': 11, 'trace_an': 8}
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