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mf_newforms • Show schema
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{'Nk2': 4288, 'analytic_conductor': 8.559963096681257, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 268, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1072, 2, [671, 805, 337], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 1071, 'dim': 4, 'field_disc': 2704, 'field_disc_factorization': [[2, 4], [13, 2]], 'field_poly': [9, 0, 7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-3, 1, 1]], [17, [-12, -2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977786416, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 268, 4, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': 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mf_hecke_nf • Show schema
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[-21, 0, 0, -2], [12, 0, 0, -15], [0, 9, 12, 0], [-30, 0, 0, 0], [0, 12, 18, 0], [-23, 0, 0, -4], [0, 20, -2, 0], [0, -30, -7, 0], [0, 6, 9, 0], [-15, 0, 0, -6], [43, 0, 0, -14], [-18, 0, 0, 13], [0, -8, 2, 0], [0, 14, 14, 0], [0, -10, -15, 0], [-5, 0, 0, -1], [-10, 0, 0, -14], [0, 9, 3, 0], [0, 6, 2, 0], [-3, 0, 0, -9], [0, 0, -15, 0], [15, 0, 0, -3], [1, 0, 0, -19], [-18, 0, 0, -12], [13, 0, 0, -36], [-21, 0, 0, 14], [-15, 0, 0, 33], [-25, 0, 0, -2], [0, 6, 6, 0], [-24, 0, 0, 12], [0, 15, -3, 0], [0, -12, 9, 0], [45, 0, 0, -23], [-23, 0, 0, -1], [0, 9, -12, 0], [0, -11, 5, 0], [0, -15, 3, 0], [0, 12, -3, 0], [-6, 0, 0, 32], [0, 18, 18, 0], [0, -15, -4, 0], [0, -6, -10, 0], [8, 0, 0, -29], [0, -18, 4, 0], [0, -24, 0, 0], [-14, 0, 0, 20], [0, 15, -9, 0], [0, 12, 0, 0], [-32, 0, 0, 9], [-40, 0, 0, -14], [33, 0, 0, -6], [7, 0, 0, 20], [-23, 0, 0, 17], [-21, 0, 0, 21], [0, -8, -10, 0], [0, -16, -5, 0], [3, 0, 0, 33], [0, 12, -12, 0], [26, 0, 0, 4], [0, -17, -4, 0], [1, 0, 0, 7], [-27, 0, 0, 4], [-2, 0, 0, -13], [0, 3, 2, 0], [3, 0, 0, -29], [42, 0, 0, 3], [-33, 0, 0, 16], [0, 8, -2, 0], [0, 9, -6, 0], [30, 0, 0, -10], [-7, 0, 0, 7], [0, 3, -8, 0], [0, 5, -17, 0], [20, 0, 0, -14], [0, -6, 21, 0], [-30, 0, 0, 37], [0, 1, -4, 0]], 'char_orbit_index': 7, 'field_poly': [9, 0, 7, 0, 1], 'hecke_orbit_code': 4504011977786416, 'hecke_ring_character_values': [[671, [-1, 0, 0, 0]], [805, [1, 0, 0, 0]], [337, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 3, 1, 0], [-4, 0, 0, 1], [0, -12, -7, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 7, 0, 1], [0, -4, 0, -1], [4, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1072.2.g.b', 'level': 1072, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4288, 'analytic_conductor': 8.559963096681257, 'char_conductor': 268, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1072, 2, [671, 805, 337], [1, 2, 1]], 'conrey_index': 1071, 'cusp_dim': 130, 'dim': 34, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 17], 'hecke_orbit_code': 412350415920, 'hecke_orbit_dims': [2, 4, 4, 4, 20], 'label': '1072.2.g', 'level': 1072, '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, 67], 'level_radical': 134, 'mf_dim': 142, 'mf_new_dim': 34, 'num_forms': 5, 'prim_orbit_index': 4, 'relative_dim': 34, 'sturm_bound': 272, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [34, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -16, 0, 0, 0, -34, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 24, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -98, 0, 0, 0, 132, 0, 0, 0, 96, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -72, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 176, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -236, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, -82, 0, 0, 0, 240, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 84, 0, 0, 0, 132, 0, 0, 0, -144, 0, 0, 0, 132, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 80, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -72, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, -132, 0, 0, 0, -300, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 324, 0, 0, 0, 8, 0, 0, 0, 324, 0, 0, 0, -512, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -444, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 120, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -44, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 637261
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1072.2.g.b', 'source_level': 1072, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1072.2.g.b', 'target_level': 1072, 'twist_class_label': '1072.2.g.b', 'twist_class_level': 1072, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 637262
{'conductor': 268, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1072.2.g.b', 'source_level': 1072, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1072.2.g.b', 'target_level': 1072, 'twist_class_label': '1072.2.g.b', 'twist_class_level': 1072, 'twisting_char_label': '268.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 637263
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1072.2.g.b', 'source_level': 1072, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1072.2.g.d', 'target_level': 1072, 'twist_class_label': '1072.2.g.b', 'twist_class_level': 1072, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 637264
{'conductor': 67, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1072.2.g.b', 'source_level': 1072, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1072.2.g.d', 'target_level': 1072, 'twist_class_label': '1072.2.g.b', 'twist_class_level': 1072, 'twisting_char_label': '67.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1654175
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504011977786416, 'p': 2}
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id: 1654176
{'charpoly_factorization': [[[-3, 1, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 3}
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id: 1654177
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 5}
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id: 1654178
{'charpoly_factorization': [[[3, 5, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 7}
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id: 1654179
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 4504011977786416, 'p': 11}
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id: 1654180
{'charpoly_factorization': [[[729, 0, 63, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 13}
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id: 1654181
{'charpoly_factorization': [[[-12, -2, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 17}
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id: 1654182
{'charpoly_factorization': [[[81, 0, 31, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 19}
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id: 1654183
{'charpoly_factorization': [[[9, 0, 58, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 23}
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id: 1654184
{'charpoly_factorization': [[[3, 8, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 29}
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id: 1654185
{'charpoly_factorization': [[[-9, 4, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 31}
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id: 1654186
{'charpoly_factorization': [[[9, -7, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 37}
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id: 1654187
{'charpoly_factorization': [[[729, 0, 63, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 41}
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id: 1654188
{'charpoly_factorization': [[[39, 13, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 43}
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id: 1654189
{'charpoly_factorization': [[[729, 0, 67, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 47}
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id: 1654190
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 53}
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id: 1654191
{'charpoly_factorization': [[[2304, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 59}
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id: 1654192
{'charpoly_factorization': [[[729, 0, 63, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 61}
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id: 1654193
{'charpoly_factorization': [[[4489, 1474, 242, 22, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 67}
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id: 1654194
{'charpoly_factorization': [[[81, 0, 34, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 71}
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id: 1654195
{'charpoly_factorization': [[[12, 10, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 73}
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id: 1654196
{'charpoly_factorization': [[[39, 13, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 79}
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id: 1654197
{'charpoly_factorization': [[[4761, 0, 151, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 83}
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id: 1654198
{'charpoly_factorization': [[[51, -16, 1], 2]], 'hecke_orbit_code': 4504011977786416, 'p': 89}
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id: 1654199
{'charpoly_factorization': [[[6561, 0, 306, 0, 1], 1]], 'hecke_orbit_code': 4504011977786416, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '1072.2.g.b', 'level': 1072, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 22766155
{'hecke_orbit_code': 4504011977786416, 'n': 1, 'trace_an': 4}
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id: 22766156
{'hecke_orbit_code': 4504011977786416, 'n': 2, 'trace_an': 0}
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id: 22766157
{'hecke_orbit_code': 4504011977786416, 'n': 3, 'trace_an': -2}
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id: 22766158
{'hecke_orbit_code': 4504011977786416, 'n': 4, 'trace_an': 0}
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id: 22766159
{'hecke_orbit_code': 4504011977786416, 'n': 5, 'trace_an': 0}
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id: 22766160
{'hecke_orbit_code': 4504011977786416, 'n': 6, 'trace_an': 0}
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id: 22766161
{'hecke_orbit_code': 4504011977786416, 'n': 7, 'trace_an': -10}
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