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mf_newforms • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, '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': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2449, 'conrey_indexes': [2449], '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, [16, 0, 1]], [11, [4, 1]], [13, [4, 0, 1]], [19, [-4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819357686, '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, 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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, 4], [0, 1], [-1, 0], [0, 0], [-4, 0], [0, 1], [0, -2], [4, 0], [0, 0], [1, 0], [0, -1], [0, 1], [4, 0], [0, 0], [4, 0], [0, 4], [0, -4], [1, 0], [0, 0], [-2, 0], [0, 1], [0, -4], [-2, 0], [0, 0], [4, 0], [0, -1], [0, 4], [-1, 0], [0, 0], [1, 0], [0, 6], [0, -4], [-2, 0], [0, 0], [2, 0], [0, -4], [0, -12], [4, 0], [0, 0], [-4, 0], [0, -8], [0, -1], [-9, 0], [0, 0], [-1, 0], [0, 2], [0, -2], [1, 0], [0, 0], [-4, 0], [0, -4], [0, 2], [-12, 0], [0, 0], [2, 0], [0, -4], [0, -4], [-1, 0], [0, 0], [4, 0], [0, -4], [0, 1], [-4, 0], [0, 0], [-4, 0], [0, -1], [0, -14], [6, 0], [0, 0], [-4, 0], [0, -16], [0, 2], [12, 0], [0, 0], [1, 0], [0, -2], [0, -4], [-4, 0], [0, 0], [-12, 0], [0, 2], [0, -4], [-10, 0], [0, 0], [8, 0], [0, 4], [0, -4], [-8, 0], [0, 0], [-1, 0], [0, -18], [0, 9], [4, 0], [0, 0]], 'ap': [[0, -1], [0, -1], [0, 0], [0, 4], [-4, 0], [0, -2], [0, -1], [4, 0], [0, -4], [-2, 0], [4, 0], [0, 6], [2, 0], [0, -12], [0, -8], [0, -2], [-12, 0], [2, 0], [0, -4], [-4, 0], [0, -14], [12, 0], [0, -4], [-10, 0], [0, -18], [-10, 0], [0, 0], [0, -12], [-10, 0], [0, -6], [0, 16], [20, 0], [0, 6], [20, 0], [2, 0], [-8, 0], [0, 10], [0, -20], [0, -12], [0, -14], [-12, 0], [-22, 0], [-8, 0], [0, 18], [0, 14], [-4, 0], [4, 0], [0, -8], [0, 20], [-6, 0], [0, 18], [24, 0], [10, 0], [-28, 0], [0, -18], [0, -16], [30, 0], [0, 0], [0, -2], [10, 0], [0, -20], [0, -26], [0, 4], [20, 0], [0, 10], [0, -10], [28, 0], [0, 22], [0, -20], [-22, 0], [0, 2], [24, 0], [0, -28], [0, 38], [-20, 0], [0, 8], [18, 0], [0, 30], [-6, 0], [-10, 0], [-12, 0], [-18, 0], [-4, 0], [0, -14], [12, 0], [0, -36], [6, 0], [0, -10], [14, 0], [0, 40], [0, -36], [-20, 0], [0, -20], [-12, 0], [-4, 0], [0, 44], [-38, 0], [18, 0], [0, 28], [18, 0], [0, -20], [0, 26], [0, -36], [6, 0], [-44, 0], [0, -18], [0, -44], [0, 18], [-24, 0], [-6, 0], [0, -28], [0, -2], [0, 30], [28, 0], [-16, 0], [-6, 0], [0, 28], [0, 16], [0, -30], [28, 0], [14, 0], [0, 34], [0, -18], [0, 36], [-44, 0], [-18, 0], [14, 0], [44, 0], [0, -8], [0, -18], [-12, 0], [0, 28], [12, 0], [0, 34], [-6, 0], [46, 0], [0, 6], [0, -36], [0, 26], [-18, 0], [-28, 0], [-30, 0], [0, -28], [0, -44], [34, 0], [36, 0], [0, -46], [0, 22], [-28, 0], [0, 32], [0, 22], [-30, 0], [0, -28], [0, 12], [0, -28], [20, 0], [56, 0], [6, 0], [0, 22], [10, 0], [0, 28], [0, -6], [0, 16], [28, 0], [0, 30], [0, -28], [-4, 0], [0, 38], [6, 0], [0, 18], [-60, 0], [-10, 0], [12, 0], [0, 10], [-48, 0], [-42, 0], [-28, 0], [18, 0], [0, -16], [18, 0], [0, 8], [20, 0], [0, -54], [0, 22], [0, 24], [-6, 0], [0, -34], [0, 44], [-66, 0], [12, 0], [0, 26], [0, -44], [-4, 0], [-10, 0], [0, -44], [0, 18], [50, 0], [0, -46], [0, 54], [0, -40], [-42, 0], [-12, 0], [0, -14], [-34, 0], [-28, 0], [0, -14], [24, 0], [0, 52], [-42, 0], [-36, 0], [0, -2], [-66, 0], [0, -36], [0, -12], [4, 0], [66, 0], [0, -40], [-30, 0], [0, 28], [0, 54], [-26, 0], [52, 0], [46, 0], [0, -4], [0, 28], [2, 0], [0, 34], [-12, 0], [0, -72], [-28, 0], [0, -34], [20, 0], [-8, 0], [-6, 0], [0, 12], [0, 48], [6, 0], [0, 18], [20, 0], [-24, 0], [0, 76], [-4, 0], [0, 56], [2, 0], [0, -6], [-36, 0], [0, 4], [60, 0], [-28, 0], [0, -32], [0, -70], [-46, 0], [0, 16], [70, 0], [0, 30], [36, 0], [58, 0], [0, 76], [0, 14], [0, 22], [0, -52], [0, 68], [-26, 0], [0, 58], [0, -2], [52, 0], [18, 0], [42, 0], [0, 20], [0, -42], [-6, 0], [0, 4], [0, 10], [-8, 0], [0, -18], [0, 64], [0, 60], [10, 0], [26, 0], [52, 0], [0, -40], [-20, 0], [0, -36], [-50, 0], [0, 84], [-32, 0], [0, -14], [0, -34], [56, 0], [-50, 0], [34, 0], [0, -12], [0, -54], [-68, 0], [0, -62], [14, 0], [8, 0], [0, -2], [60, 0], [0, 20], [0, -54], [0, -46], [20, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503805819357686, 'hecke_ring_character_values': [[851, [1, 0]], [1327, [-1, 0]], [751, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2550.2.d.b', 'level': 2550, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, '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': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'conrey_index': 2449, 'cusp_dim': 516, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 206191987190, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '2550.2.d', 'level': 2550, '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': 564, 'mf_new_dim': 48, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 1080, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -48, 0, 4, 0, 0, -48, 0, -16, 0, 0, 16, 0, 48, 0, 0, 0, 0, 8, 0, 0, -4, 0, -16, 0, 0, -32, 0, 16, 0, 0, -8, 0, 48, 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0, 16, 0, -960, 0, 0, 400, 0, 560, 0, 0, 208, 0, 8, 0, 0, 160, 0, -80, 0, 0, -400, 0, -768, 0, 0, -16, 0, 96, 0, 0, 32, 0, 416, 0, 0, 64, 0, -48, 0, 0, 816, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 963233
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2550.2.d.b', 'source_level': 2550, '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': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963234
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2550.2.d.b', 'source_level': 2550, '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': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963235
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2550.2.d.b', 'source_level': 2550, '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': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963236
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2550.2.d.b', 'source_level': 2550, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 963237
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2550.2.d.b', 'source_level': 2550, '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 963238
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2550.2.d.b', 'source_level': 2550, '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': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963239
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2550.2.d.b', 'source_level': 2550, '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': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963240
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2550.2.d.b', 'source_level': 2550, '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': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2724775
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 2}
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id: 2724776
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 3}
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id: 2724777
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 5}
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id: 2724778
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 7}
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id: 2724779
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 11}
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id: 2724780
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 13}
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id: 2724781
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 17}
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id: 2724782
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 19}
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id: 2724783
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 23}
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id: 2724784
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 29}
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id: 2724785
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 31}
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id: 2724786
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 37}
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id: 2724787
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 41}
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id: 2724788
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 43}
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id: 2724789
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 47}
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id: 2724790
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 53}
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id: 2724791
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 59}
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id: 2724792
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 61}
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id: 2724793
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 67}
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id: 2724794
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 71}
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id: 2724795
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 73}
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id: 2724796
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 79}
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id: 2724797
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 83}
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id: 2724798
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4503805819357686, 'p': 89}
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id: 2724799
{'charpoly_factorization': [[[324, 0, 1], 1]], 'hecke_orbit_code': 4503805819357686, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '2550.2.d.b', 'level': 2550, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 83746000
{'hecke_orbit_code': 4503805819357686, 'n': 1, 'trace_an': 2}
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id: 83746001
{'hecke_orbit_code': 4503805819357686, 'n': 2, 'trace_an': 0}
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id: 83746002
{'hecke_orbit_code': 4503805819357686, 'n': 3, 'trace_an': 0}
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id: 83746003
{'hecke_orbit_code': 4503805819357686, 'n': 4, 'trace_an': -2}
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id: 83746004
{'hecke_orbit_code': 4503805819357686, 'n': 5, 'trace_an': 0}
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id: 83746005
{'hecke_orbit_code': 4503805819357686, 'n': 6, 'trace_an': -2}
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id: 83746006
{'hecke_orbit_code': 4503805819357686, 'n': 7, 'trace_an': 0}
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id: 83746007
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