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{'Nk2': 13312, 'analytic_conductor': 26.574213792682112, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [13, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3328, 1, [1535, 261, 769], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 13448, 'field_disc_factorization': [[2, 3], [41, 2]], 'field_poly': [2, 0, -7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [32, 0, -13, 0, 1]], [5, [-10, 1, 1]], [7, [2, 0, -7, 0, 1]]], 'hecke_orbit': 37, 'hecke_orbit_code': 162129586618895616, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 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': False, 'label': '3328.2.a.bk', 'level': 3328, '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, 13], 'level_radical': 26, 'minimal_twist': '1664.2.b.j', 'nf_label': '4.4.13448.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{3}q^{3}+\\beta _{2}q^{5}-\\beta _{1}q^{7}+(3-\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3328.2.a', 'trace_display': [0, 0, -2, 0], 'trace_hash': 1887101453875112929, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.063', 'prec': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'ALdims': [22, 26, 26, 22], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12], 'ALdims_old': [79, 82, 86, 82], 'Nk2': 13312, 'analytic_conductor': 26.574213792682112, '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': [3328, 1, [1535, 261, 769], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 425, 'dim': 96, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33557760, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '3328.2.a', 'level': 3328, '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, 13], 'level_radical': 26, 'mf_dim': 472, 'mf_new_dim': 96, 'num_forms': 42, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 896, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 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, 0, 0, 0, 0, 96, 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, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1082591
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '3328.2.a.bk', 'source_level': 3328, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1664.2.b.j', 'target_level': 1664, 'twist_class_label': '1664.2.b.j', 'twist_class_level': 1664, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1082592
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '3328.2.a.bk', 'source_level': 3328, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1664.2.b.j', 'target_level': 1664, 'twist_class_label': '1664.2.b.j', 'twist_class_level': 1664, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1082593
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '3328.2.a.bk', 'source_level': 3328, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '3328.2.a.bk', 'target_level': 3328, 'twist_class_label': '1664.2.b.j', 'twist_class_level': 1664, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1082594
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '3328.2.a.bk', 'source_level': 3328, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '3328.2.a.bk', 'target_level': 3328, 'twist_class_label': '1664.2.b.j', 'twist_class_level': 1664, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1082595
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '3328.2.a.bk', 'source_level': 3328, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '3328.2.a.bl', 'target_level': 3328, 'twist_class_label': '1664.2.b.j', 'twist_class_level': 1664, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1082596
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '3328.2.a.bk', 'source_level': 3328, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '3328.2.a.bl', 'target_level': 3328, 'twist_class_label': '1664.2.b.j', 'twist_class_level': 1664, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3122800
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 162129586618895616, 'p': 2}
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id: 3122801
{'charpoly_factorization': [[[32, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 3}
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id: 3122802
{'charpoly_factorization': [[[-10, 1, 1], 2]], 'hecke_orbit_code': 162129586618895616, 'p': 5}
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id: 3122803
{'charpoly_factorization': [[[2, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 7}
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id: 3122804
{'charpoly_factorization': [[[8, 0, -14, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 11}
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id: 3122805
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 162129586618895616, 'p': 13}
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id: 3122806
{'charpoly_factorization': [[[-4, -5, 1], 2]], 'hecke_orbit_code': 162129586618895616, 'p': 17}
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id: 3122807
{'charpoly_factorization': [[[128, 0, -26, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 19}
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id: 3122808
{'charpoly_factorization': [[[512, 0, -52, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 23}
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id: 3122809
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 162129586618895616, 'p': 29}
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id: 3122810
{'charpoly_factorization': [[[800, 0, -58, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 31}
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id: 3122811
{'charpoly_factorization': [[[2, -7, 1], 2]], 'hecke_orbit_code': 162129586618895616, 'p': 37}
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id: 3122812
{'charpoly_factorization': [[[-16, -10, 1], 2]], 'hecke_orbit_code': 162129586618895616, 'p': 41}
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id: 3122813
{'charpoly_factorization': [[[16200, 0, -261, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 43}
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id: 3122814
{'charpoly_factorization': [[[6962, 0, -167, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 47}
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id: 3122815
{'charpoly_factorization': [[[-16, -10, 1], 2]], 'hecke_orbit_code': 162129586618895616, 'p': 53}
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id: 3122816
{'charpoly_factorization': [[[800, 0, -106, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 59}
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id: 3122817
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 162129586618895616, 'p': 61}
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id: 3122818
{'charpoly_factorization': [[[27848, 0, -334, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 67}
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id: 3122819
{'charpoly_factorization': [[[50, 0, -47, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 71}
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id: 3122820
{'charpoly_factorization': [[[-40, -2, 1], 2]], 'hecke_orbit_code': 162129586618895616, 'p': 73}
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id: 3122821
{'charpoly_factorization': [[[800, 0, -188, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 79}
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id: 3122822
{'charpoly_factorization': [[[200, 0, -94, 0, 1], 1]], 'hecke_orbit_code': 162129586618895616, 'p': 83}
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id: 3122823
{'charpoly_factorization': [[[-16, -10, 1], 2]], 'hecke_orbit_code': 162129586618895616, 'p': 89}
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id: 3122824
{'charpoly_factorization': [[[-10, 1], 4]], 'hecke_orbit_code': 162129586618895616, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 37, 'label': '3328.2.a.bk', 'level': 3328, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69894757
{'hecke_orbit_code': 162129586618895616, 'n': 1, 'trace_an': 4}
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id: 69894758
{'hecke_orbit_code': 162129586618895616, 'n': 2, 'trace_an': 0}
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id: 69894759
{'hecke_orbit_code': 162129586618895616, 'n': 3, 'trace_an': 0}
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id: 69894760
{'hecke_orbit_code': 162129586618895616, 'n': 4, 'trace_an': 0}
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id: 69894761
{'hecke_orbit_code': 162129586618895616, 'n': 5, 'trace_an': -2}
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id: 69894762
{'hecke_orbit_code': 162129586618895616, 'n': 6, 'trace_an': 0}
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id: 69894763
{'hecke_orbit_code': 162129586618895616, 'n': 7, 'trace_an': 0}
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id: 69894764
{'hecke_orbit_code': 162129586618895616, 'n': 8, 'trace_an': 0}
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id: 69894765
{'hecke_orbit_code': 162129586618895616, 'n': 9, 'trace_an': 14}
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id: 69894766
{'hecke_orbit_code': 162129586618895616, 'n': 10, 'trace_an': 0}
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id: 69894767
{'hecke_orbit_code': 162129586618895616, 'n': 11, 'trace_an': 0}
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id: 69894768
{'hecke_orbit_code': 162129586618895616, 'n': 12, 'trace_an': 0}
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id: 69894769
{'hecke_orbit_code': 162129586618895616, 'n': 13, 'trace_an': -4}
-
id: 69894770
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