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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, 1], [11, 1]], 'atkin_lehner_string': '++++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-2, 0, 1]], [13, [-2, 0, 1]], [17, [-2, 0, 1]], [19, [-8, 0, 1]], [23, [-4, 1]], [29, [-6, 1]]], 'hecke_orbit': 64, 'hecke_orbit_code': 283726776557905382, 'hecke_ring_generator_nbound': 5, '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, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '9702.2.a.cl', 'level': 9702, '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, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '9702.2.a.cl', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+\\beta q^{5}-q^{8}-\\beta q^{10}-q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [-2, 0, 0, 0], 'trace_hash': 1946738975053473137, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, '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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, '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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, '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, 3, 7, 11], 'level_radical': 462, 'mf_dim': 2080, 'mf_new_dim': 169, 'num_forms': 107, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 4032, 'trace_bound': 31, 'trace_display': [-1, 0, -2, 0], 'traces': [169, -1, 0, 169, -2, 0, 0, -1, 0, -2, 1, 0, -2, 0, 0, 169, -18, 0, -12, -2, 0, -1, -4, 0, 159, -14, 0, 0, 2, 0, -8, -1, 0, -6, 0, 0, 30, -4, 0, -2, 6, 0, 52, 1, 0, 0, 4, 0, 0, -39, 0, -2, -38, 0, -6, 0, 0, -50, 16, 0, -2, -8, 0, 169, -52, 0, 44, -18, 0, 0, -20, 0, 10, -46, 0, -12, 0, 0, 80, -2, 0, -14, -20, 0, -76, 8, 0, -1, -6, 0, 0, -4, 0, 8, 32, 0, -46, 0, 0, 159, 34, 0, 0, -14, 0, -2, -60, 0, 62, -6, 0, 0, -6, 0, -32, 2, 0, 20, 0, 0, 169, 26, 0, -8, -108, 0, 48, -1, 0, -20, 20, 0, 0, 4, 0, -6, 50, 0, 36, 0, 0, 56, 10, 0, 68, -10, 0, 30, 2, 0, 112, -4, 0, 0, 112, 0, 10, -8, 0, -2, 0, 0, 140, 6, 0, 48, 48, 0, 239, -36, 0, 52, -14, 0, 0, 1, 0, 10, 84, 0, 26, 0, 0, 0, 4, 0, 2, 4, 0, 32, 164, 0, 66, -34, 0, 0, 42, 0, 24, -39, 0, -6, 0, 0, 68, 32, 0, -2, -20, 0, 124, -38, 0, 20, 88, 0, 0, -26, 0, -6, 28, 0, -8, 0, 0, -14, 12, 0, 18, 96, 0, -50, -26, 0, 64, 16, 0, 0, -8, 0, 66, -1, 0, -2, 0, 0, 224, -8, 0, -12, 96, 0, -24, 184, 0, 169, 50, 0, 0, -52, 0, 24, -8, 0, 108, 0, 0, 44, 14, 0, 136, -18, 0, -94, 31, 0, 6, -12, 0, 0, 262, 0, 108, -20, 0, 14, 0, 0, 211, -44, 0, 10, -22, 0, 72, -46, 0, 30, -72, 0, 0, 104, 0, -12, -60, 0, 12, 0, 0, 128, 52, 0, -54, -46, 0, 80, -14, 0, -14, -2, 0, 0, 32, 0, 106, 172, 0, -14, 0, 0, -92, -20, 0, 64, -24, 0, -38, 1, 0, -76, -12, 0, 0, 8, 0, 130, -84, 0, -58, 0, 0, -1, 2, 0, 72, -6, 0, 36, -56, 0, -19, 26, 0, 0, -164, 0, 88, -4, 0, -12, 0, 0, -58, -18, 0, 8, 12, 0, 12, 32, 0, 80, -28, 0, 0, -34, 0, -46, 74, 0, 80, 0, 0, -10, 64, 0, 26, 128, 0, 159, 10, 0, -120, 34, 0, 0, 70, 0, -54, -52, 0, 0, 0, 0, 56, -14, 0, 12, -80, 0, -162, 48, 0, -2, -126, 0, 0, -60, 0, 104, 64, 0, 66, 0, 0, 62, -56, 0, -16, -6, 0, 12, -20, 0, -20, 88, 0, 0, -134, 0, 10, -6, 0, 48, 0, 0, -14, 58, 0, -32, 82, 0, 40, 2, 0, -6, 152, 0, 0, 112, 0, 20, 0, 0, -140, 0, 0, -8, -16, 0, -108, 30, 0, 169, 132, 0, -48, 26, 0, 0, -12, 0, -180, -16, 0, -8, 0, 0, 20, -108, 0, 20, 0, 0, -60, 20, 0, 48, -122, 0, 0, -1, 0, -94, 8, 0, 28, 0, 0, -20, -14, 0, -84, 20, 0, -16, -80, 0, 105, -68, 0, 0, -84, 0, -40, 4, 0, -82, 0, 0, -114, 88, 0, -6, -180, 0, 148, 50, 0, 1, -72, 0, 0, 102, 0, 36, 98, 0, -240, 0, 0, -46, 12, 0, -4, -12, 0, 56, 134, 0, -108, 10, 0, 0, -4, 0, 106, -139, 0, 68, 0, 0, -54, -10, 0, -78, -152, 0, 64, -32, 0, 30, 38, 0, 0, 2, 0, 104, -76, 0, -150, 0, 0, 112, -2, 0, 72, -4, 0, -124, 120, 0, -74, -28, 0, 0, -86, 0, -16, 112, 0, 112, 0, 0, 237, -10, 0, 10, 212, 0, 16, -8, 0, -18, 88, 0, 0, 30, 0, -2, 194, 0, -120, 0, 0, -24, 12, 0, -24, -58, 0, 140, 242, 0, 80, 6, 0, 0, -44, 0, -46, 84, 0, 48, 0, 0, 144, 48, 0, 40, -54, 0, -166, -26, 0, 239, 202, 0, 0, -36, 0, 20, 132, 0, -140, 0, 0, 52, -20, 0, -120, -14, 0, 92, 200, 0, 252, -62, 0, 0, 66, 0, -88, 1, 0, -158, 0, 0, -194, 56, 0, 10, 160, 0, 60, 84, 0, 8, 44, 0, 0, 227, 0, 26, 334, 0, 40, 0, 0, -156, 16, 0, -122, -72, 0, 0, 60, 0, -100, 4, 0, 0, 616, 0, -172, -10, 0, 2, 0, 0, -192, 4, 0, -172, 232, 0, 6, -132, 0, 32, -26, 0, 0, 164, 0, -120, 200, 0, -158, 0, 0, 66, -90, 0, -8, -34, 0, -138, 344, 0, 0, -24, 0, 0, 4, 0, 172, 42, 0, -16, 0, 0, -92, -118, 0, 24, -74, 0, -144, -39, 0, 106, 14, 0, 0, -152, 0, -6, -226, 0, -172, 0, 0, 26, 40, 0, 168, -106, 0, 68, -278, 0, -448, 32, 0, 0, -292, 0, -46, 424, 0, -2, 0, 0, 120, -20, 0, -28, -28, 0, -1, 154, 0, 124, -86, 0, 0, -38, 0, -90, -224, 0, 190, 0, 0, 20, -34, 0, -32, 88, 0, -120, 92, 0, -340, 30, 0, 0, 0, 0, 104, -26, 0, -120, 0, 0, -74, 56, 0, -6, -182, 0, -268, 28, 0, 44, -32, 0, 0, -92, 0, -8, -184, 0, 200, 0, 0, -110, -176, 0, -180, -26, 0, -14, 404, 0, 228, 12, 0, 0, 20, 0, -16, 30, 0, 18, 0, 0, 352, 96, 0, 114, 160, 0, 154, -160, 0, -50, 26, 0, 0, -26, 0, 52, -36, 0, -86, 0, 0, 64, -190, 0, -160, 16, 0, -44, 268, 0, 308, 44, 0, 0, -146, 0, 168, -8, 0, -40, 0, 0, 233, -212, 0, 66, 36, 0, 304, -1, 0, -204, 32, 0, 0, 64, 0, -2, -86, 0, 54, 0, 0, 12, 12, 0, 20, 20, 0, 224, -8, 0, 408, -8, 0, 0, 360, 0, 54, -44, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1444066
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 64, 'source_is_minimal': True, 'source_label': '9702.2.a.cl', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 64, 'target_is_minimal': True, 'target_label': '9702.2.a.cl', 'target_level': 9702, 'twist_class_label': '9702.2.a.cl', 'twist_class_level': 9702, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1444067
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 64, 'source_is_minimal': True, 'source_label': '9702.2.a.cl', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 64, 'target_is_minimal': True, 'target_label': '9702.2.a.cl', 'target_level': 9702, 'twist_class_label': '9702.2.a.cl', 'twist_class_level': 9702, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444068
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 64, 'source_is_minimal': True, 'source_label': '9702.2.a.cl', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 94, 'target_is_minimal': True, 'target_label': '9702.2.a.dp', 'target_level': 9702, 'twist_class_label': '9702.2.a.cl', 'twist_class_level': 9702, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444069
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 64, 'source_is_minimal': True, 'source_label': '9702.2.a.cl', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 94, 'target_is_minimal': True, 'target_label': '9702.2.a.dp', 'target_level': 9702, 'twist_class_label': '9702.2.a.cl', 'twist_class_level': 9702, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5101825
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 2}
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id: 5101826
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 3}
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id: 5101827
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 5}
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id: 5101828
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 7}
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id: 5101829
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 11}
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id: 5101830
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 13}
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id: 5101831
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 17}
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id: 5101832
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 19}
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id: 5101833
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 23}
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id: 5101834
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 29}
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id: 5101835
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 31}
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id: 5101836
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 37}
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id: 5101837
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 41}
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id: 5101838
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 43}
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id: 5101839
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 47}
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id: 5101840
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 53}
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id: 5101841
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 59}
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id: 5101842
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 61}
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id: 5101843
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 67}
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id: 5101844
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 71}
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id: 5101845
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 73}
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id: 5101846
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 283726776557905382, 'p': 79}
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id: 5101847
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 83}
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id: 5101848
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 89}
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id: 5101849
{'charpoly_factorization': [[[-242, 0, 1], 1]], 'hecke_orbit_code': 283726776557905382, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 64, 'label': '9702.2.a.cl', 'level': 9702, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72212371
{'hecke_orbit_code': 283726776557905382, 'n': 1, 'trace_an': 2}
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id: 72212372
{'hecke_orbit_code': 283726776557905382, 'n': 2, 'trace_an': -2}
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id: 72212373
{'hecke_orbit_code': 283726776557905382, 'n': 3, 'trace_an': 0}
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id: 72212374
{'hecke_orbit_code': 283726776557905382, 'n': 4, 'trace_an': 2}
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id: 72212375
{'hecke_orbit_code': 283726776557905382, 'n': 5, 'trace_an': 0}
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id: 72212376
{'hecke_orbit_code': 283726776557905382, 'n': 6, 'trace_an': 0}
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id: 72212377
{'hecke_orbit_code': 283726776557905382, 'n': 7, 'trace_an': 0}
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id: 72212378
{'hecke_orbit_code': 283726776557905382, 'n': 8, 'trace_an': -2}
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id: 72212379
{'hecke_orbit_code': 283726776557905382, 'n': 9, 'trace_an': 0}
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id: 72212380
{'hecke_orbit_code': 283726776557905382, 'n': 10, 'trace_an': 0}
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id: 72212381
{'hecke_orbit_code': 283726776557905382, 'n': 11, 'trace_an': -2}
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id: 72212382
{'hecke_orbit_code': 283726776557905382, 'n': 12, 'trace_an': 0}
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id: 72212383
{'hecke_orbit_code': 283726776557905382, 'n': 13, 'trace_an': 0}
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id: 72212384
{'hecke_orbit_code': 283726776557905382, 'n': 14, 'trace_an': 0}
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id: 72212385
{'hecke_orbit_code': 283726776557905382, 'n': 15, 'trace_an': 0}
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id: 72212386
{'hecke_orbit_code': 283726776557905382, 'n': 16, 'trace_an': 2}
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id: 72212387
{'hecke_orbit_code': 283726776557905382, 'n': 17, 'trace_an': 0}
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