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mf_newforms • Show schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, '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': [4608, 2, [3583, 2053, 4097], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2305, 'conrey_indexes': [2305], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 12, 0, 1]], [7, [-2, 0, 1]], [17, [-4, 4, 1]], [23, [8, 8, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518204328841728, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 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': '4608.2.d.f', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1536.2.a.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(\\zeta_{8}-\\zeta_{8}^{2})q^{5}+\\zeta_{8}^{3}q^{7}+(\\zeta_{8}-2\\zeta_{8}^{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4608.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1219843147579072496, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.907', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '74.808', 'prec': 20}, 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mf_hecke_nf • Show schema
Hide schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4608, 2, [3583, 2053, 4097], [2, 1, 2]], 'conrey_index': 2305, 'cusp_dim': 704, 'dim': 80, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17, 23], 'hecke_orbit_code': 206191989248, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], 'label': '4608.2.d', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 832, 'mf_new_dim': 80, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 80, 'sturm_bound': 1536, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1213865
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1536.2.a.a', 'target_level': 1536, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1213866
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1536.2.a.f', 'target_level': 1536, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1213867
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1536.2.a.h', 'target_level': 1536, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1213868
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1536.2.a.k', 'target_level': 1536, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1213869
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1536.2.d.b', 'target_level': 1536, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213870
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1536.2.d.b', 'target_level': 1536, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1213871
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1536.2.d.e', 'target_level': 1536, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213872
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1536.2.d.e', 'target_level': 1536, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1213873
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4608.2.a.b', 'target_level': 4608, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1213874
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4608.2.a.d', 'target_level': 4608, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1213875
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4608.2.a.o', 'target_level': 4608, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1213876
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4608.2.a.q', 'target_level': 4608, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1213877
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4608.2.d.f', 'target_level': 4608, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1213878
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4608.2.d.f', 'target_level': 4608, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213879
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4608.2.d.h', 'target_level': 4608, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213880
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4608.2.d.f', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4608.2.d.h', 'target_level': 4608, 'twist_class_label': '1536.2.a.a', 'twist_class_level': 1536, '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: 3650875
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204328841728, 'p': 2}
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id: 3650876
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204328841728, 'p': 3}
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id: 3650877
{'charpoly_factorization': [[[4, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 5}
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id: 3650878
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 7}
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id: 3650879
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 11}
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id: 3650880
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 13}
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id: 3650881
{'charpoly_factorization': [[[-4, 4, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 17}
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id: 3650882
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 19}
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id: 3650883
{'charpoly_factorization': [[[8, 8, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 23}
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id: 3650884
{'charpoly_factorization': [[[1156, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 29}
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id: 3650885
{'charpoly_factorization': [[[-50, 0, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 31}
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id: 3650886
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 37}
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id: 3650887
{'charpoly_factorization': [[[-68, 4, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 41}
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id: 3650888
{'charpoly_factorization': [[[64, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 43}
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id: 3650889
{'charpoly_factorization': [[[-56, -8, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 47}
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id: 3650890
{'charpoly_factorization': [[[324, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 53}
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id: 3650891
{'charpoly_factorization': [[[256, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 59}
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id: 3650892
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 61}
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id: 3650893
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 67}
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id: 3650894
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 71}
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id: 3650895
{'charpoly_factorization': [[[-128, 0, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 73}
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id: 3650896
{'charpoly_factorization': [[[254, -32, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 79}
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id: 3650897
{'charpoly_factorization': [[[784, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 22518204328841728, 'p': 83}
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id: 3650898
{'charpoly_factorization': [[[-92, 12, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 89}
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id: 3650899
{'charpoly_factorization': [[[-28, 4, 1], 2]], 'hecke_orbit_code': 22518204328841728, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 6, 'label': '4608.2.d.f', 'level': 4608, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 171580000
{'hecke_orbit_code': 22518204328841728, 'n': 1, 'trace_an': 4}
-
id: 171580001
{'hecke_orbit_code': 22518204328841728, 'n': 2, 'trace_an': 0}
-
id: 171580002
{'hecke_orbit_code': 22518204328841728, 'n': 3, 'trace_an': 0}
-
id: 171580003
{'hecke_orbit_code': 22518204328841728, 'n': 4, 'trace_an': 0}
-
id: 171580004
{'hecke_orbit_code': 22518204328841728, 'n': 5, 'trace_an': 0}
-
id: 171580005
{'hecke_orbit_code': 22518204328841728, 'n': 6, 'trace_an': 0}
-
id: 171580006
{'hecke_orbit_code': 22518204328841728, 'n': 7, 'trace_an': 0}
-
id: 171580007
{'hecke_orbit_code': 22518204328841728, 'n': 8, 'trace_an': 0}
-
id: 171580008
{'hecke_orbit_code': 22518204328841728, 'n': 9, 'trace_an': 0}
-
id: 171580009
{'hecke_orbit_code': 22518204328841728, 'n': 10, 'trace_an': 0}
-
id: 171580010
{'hecke_orbit_code': 22518204328841728, 'n': 11, 'trace_an': 0}
-
id: 171580011
{'hecke_orbit_code': 22518204328841728, 'n': 12, 'trace_an': 0}
-
id: 171580012
{'hecke_orbit_code': 22518204328841728, 'n': 13, 'trace_an': 0}
-
id: 171580013
{'hecke_orbit_code': 22518204328841728, 'n': 14, 'trace_an': 0}
-
id: 171580014
{'hecke_orbit_code': 22518204328841728, 'n': 15, 'trace_an': 0}
-
id: 171580015
{'hecke_orbit_code': 22518204328841728, 'n': 16, 'trace_an': 0}
-
id: 171580016
{'hecke_orbit_code': 22518204328841728, 'n': 17, 'trace_an': -8}
-
id: 171580017
{'hecke_orbit_code': 22518204328841728, 'n': 18, 'trace_an': 0}
-
id: 171580018
{'hecke_orbit_code': 22518204328841728, 'n': 19, 'trace_an': 0}
-
id: 171580019
{'hecke_orbit_code': 22518204328841728, 'n': 20, 'trace_an': 0}
-
id: 171580020
{'hecke_orbit_code': 22518204328841728, 'n': 21, 'trace_an': 0}
-
id: 171580021
{'hecke_orbit_code': 22518204328841728, 'n': 22, 'trace_an': 0}
-
id: 171580022
{'hecke_orbit_code': 22518204328841728, 'n': 23, 'trace_an': -16}
-
id: 171580023
{'hecke_orbit_code': 22518204328841728, 'n': 24, 'trace_an': 0}
-
id: 171580024
{'hecke_orbit_code': 22518204328841728, 'n': 25, 'trace_an': -4}
-
id: 171580025
{'hecke_orbit_code': 22518204328841728, 'n': 26, 'trace_an': 0}
-
id: 171580026
{'hecke_orbit_code': 22518204328841728, 'n': 27, 'trace_an': 0}
-
id: 171580027
{'hecke_orbit_code': 22518204328841728, 'n': 28, 'trace_an': 0}
-
id: 171580028
{'hecke_orbit_code': 22518204328841728, 'n': 29, 'trace_an': 0}
-
id: 171580029
{'hecke_orbit_code': 22518204328841728, 'n': 30, 'trace_an': 0}
-
id: 171580030
{'hecke_orbit_code': 22518204328841728, 'n': 31, 'trace_an': 0}
-
id: 171580031
{'hecke_orbit_code': 22518204328841728, 'n': 32, 'trace_an': 0}
-
id: 171580032
{'hecke_orbit_code': 22518204328841728, 'n': 33, 'trace_an': 0}
-
id: 171580033
{'hecke_orbit_code': 22518204328841728, 'n': 34, 'trace_an': 0}
-
id: 171580034
{'hecke_orbit_code': 22518204328841728, 'n': 35, 'trace_an': 0}
-
id: 171580035
{'hecke_orbit_code': 22518204328841728, 'n': 36, 'trace_an': 0}
-
id: 171580036
{'hecke_orbit_code': 22518204328841728, 'n': 37, 'trace_an': 0}
-
id: 171580037
{'hecke_orbit_code': 22518204328841728, 'n': 38, 'trace_an': 0}
-
id: 171580038
{'hecke_orbit_code': 22518204328841728, 'n': 39, 'trace_an': 0}
-
id: 171580039
{'hecke_orbit_code': 22518204328841728, 'n': 40, 'trace_an': 0}
-
id: 171580040
{'hecke_orbit_code': 22518204328841728, 'n': 41, 'trace_an': -8}
-
id: 171580041
{'hecke_orbit_code': 22518204328841728, 'n': 42, 'trace_an': 0}
-
id: 171580042
{'hecke_orbit_code': 22518204328841728, 'n': 43, 'trace_an': 0}
-
id: 171580043
{'hecke_orbit_code': 22518204328841728, 'n': 44, 'trace_an': 0}
-
id: 171580044
{'hecke_orbit_code': 22518204328841728, 'n': 45, 'trace_an': 0}
-
id: 171580045
{'hecke_orbit_code': 22518204328841728, 'n': 46, 'trace_an': 0}
-
id: 171580046
{'hecke_orbit_code': 22518204328841728, 'n': 47, 'trace_an': 16}
-
id: 171580047
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