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mf_newforms • Show schema
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{'Nk2': 8256, 'analytic_conductor': 16.48112297719227, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 172, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 6, 'char_parity': 1, 'char_values': [2064, 6, [1807, 517, 689, 433], [3, 6, 6, 5]], 'cm_discs': [], 'conrey_index': 1039, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [7, [4, 2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18016597566294032, 'hecke_ring_generator_nbound': 3, '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, 172, 6, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2064.2.bg.e', 'level': 2064, '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, 43], 'level_radical': 258, 'minimal_twist': '2064.2.bg.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 6, 'qexp_display': 'q+(1-\\zeta_{6})q^{3}-2\\zeta_{6}q^{7}-\\zeta_{6}q^{9}+(1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2064.2.bg', 'trace_display': [0, 1, 0, -2], 'trace_hash': 1353320193225846202, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.203', 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mf_hecke_cc • Show schema
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'dual_conrey_index': 1327, 'dual_embedding_index': 1, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 5, 'hecke_orbit_code': 18016597566294032, 'label': '2064.2.bg.e.1039.1', 'level': 2064, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 8256, 'analytic_conductor': 16.48112297719227, 'char_conductor': 172, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 6, 'char_parity': 1, 'char_values': [2064, 6, [1807, 517, 689, 433], [3, 6, 6, 5]], 'conrey_index': 1039, 'cusp_dim': 680, 'dim': 88, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 2199056812048, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 10, 10, 14, 14, 14, 14], 'label': '2064.2.bg', 'level': 2064, '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, 43], 'level_radical': 258, 'mf_dim': 728, 'mf_new_dim': 88, 'num_forms': 12, 'prim_orbit_index': 6, 'relative_dim': 44, 'sturm_bound': 704, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 72, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, 72, 0, 0, 0, -76, 0, 0, 0, 96, 0, 0, 0, 4, 0, 0, 0, 40, 0, 0, 0, 24, 0, 0, 0, 12, 0, 0, 0, -72, 0, 0, 0, 72, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 44, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 288, 0, 0, 0, -72, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -96, 0, 0, 0, -4, 0, 0, 0, -132, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, -120, 0, 0, 0, 48, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -12, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 288, 0, 0, 0, -84, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -80, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -72, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 72, 0, 0, 0, -168, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 8, 0, 0, 0, 48, 0, 0, 0, -144, 0, 0, 0, -100, 0, 0, 0, 44, 0, 0, 0, -192, 0, 0, 0, -48, 0, 0, 0, 80, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -168, 0, 0, 0, 348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -144, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -72, 0, 0, 0, -152, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -8, 0, 0, 0, 72, 0, 0, 0, -28, 0, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -24, 0, 0, 0, -384, 0, 0, 0, -72, 0, 0, 0, -24, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -144, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 40, 0, 0, 0, 264, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -288, 0, 0, 0, 72, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, -144, 0, 0, 0, 192, 0, 0, 0, 72, 0, 0, 0, 216, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 768, 0, 0, 0, -12, 0, 0, 0, 44, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 72, 0, 0, 0, -48, 0, 0, 0, 504, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, -292, 0, 0, 0, 192, 0, 0, 0, -72, 0, 0, 0, 516, 0, 0, 0, -72, 0, 0, 0, 288, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 264, 0, 0, 0, 144, 0, 0, 0, 276, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 72, 0, 0, 0, -216, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 588, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -432, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44720069
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1039, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18016597566294032, 'source_is_minimal': True, 'source_label': '2064.2.bg.e.1039.1', 'source_level': 2064, 'target_conrey_index': 1039, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18016597566294032, 'target_is_minimal': True, 'target_label': '2064.2.bg.e.1039.1', 'target_level': 2064, 'twist_class_label': '2064.2.bg.b.1039.1', 'twist_class_level': 2064, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44720070
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1039, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18016597566294032, 'source_is_minimal': True, 'source_label': '2064.2.bg.e.1039.1', 'source_level': 2064, 'target_conrey_index': 1039, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505798684182544, 'target_is_minimal': True, 'target_label': '2064.2.bg.b.1039.1', 'target_level': 2064, 'twist_class_label': '2064.2.bg.b.1039.1', 'twist_class_level': 2064, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44720071
{'conductor': 43, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1039, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18016597566294032, 'source_is_minimal': True, 'source_label': '2064.2.bg.e.1039.1', 'source_level': 2064, 'target_conrey_index': 1327, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505798684182544, 'target_is_minimal': True, 'target_label': '2064.2.bg.b.1327.1', 'target_level': 2064, 'twist_class_label': '2064.2.bg.b.1039.1', 'twist_class_level': 2064, 'twisting_char_label': '43.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 44720072
{'conductor': 172, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1039, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18016597566294032, 'source_is_minimal': True, 'source_label': '2064.2.bg.e.1039.1', 'source_level': 2064, 'target_conrey_index': 1327, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18016597566294032, 'target_is_minimal': True, 'target_label': '2064.2.bg.e.1327.1', 'target_level': 2064, 'twist_class_label': '2064.2.bg.b.1039.1', 'twist_class_level': 2064, 'twisting_char_label': '172.123', 'twisting_conrey_index': 123, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2400825
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18016597566294032, 'p': 2}
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id: 2400826
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 3}
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id: 2400827
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18016597566294032, 'p': 5}
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id: 2400828
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 7}
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id: 2400829
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 11}
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id: 2400830
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 13}
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id: 2400831
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 17}
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id: 2400832
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 19}
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id: 2400833
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18016597566294032, 'p': 23}
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id: 2400834
{'charpoly_factorization': [[[48, -12, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 29}
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id: 2400835
{'charpoly_factorization': [[[48, -12, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 31}
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id: 2400836
{'charpoly_factorization': [[[108, 18, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 37}
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id: 2400837
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 18016597566294032, 'p': 41}
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id: 2400838
{'charpoly_factorization': [[[43, 13, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 43}
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id: 2400839
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 47}
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id: 2400840
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 53}
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id: 2400841
{'charpoly_factorization': [[[147, 0, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 59}
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id: 2400842
{'charpoly_factorization': [[[48, -12, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 61}
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id: 2400843
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 67}
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id: 2400844
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 71}
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id: 2400845
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 73}
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id: 2400846
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18016597566294032, 'p': 79}
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id: 2400847
{'charpoly_factorization': [[[108, -18, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 83}
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id: 2400848
{'charpoly_factorization': [[[243, 27, 1], 1]], 'hecke_orbit_code': 18016597566294032, 'p': 89}
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id: 2400849
{'charpoly_factorization': [[[17, 1], 2]], 'hecke_orbit_code': 18016597566294032, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 33, 'hecke_orbit': 5, 'label': '2064.2.bg.e', 'level': 2064, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 41676007
{'hecke_orbit_code': 18016597566294032, 'n': 1, 'trace_an': 2}
-
id: 41676008
{'hecke_orbit_code': 18016597566294032, 'n': 2, 'trace_an': 0}
-
id: 41676009
{'hecke_orbit_code': 18016597566294032, 'n': 3, 'trace_an': 1}
-
id: 41676010
{'hecke_orbit_code': 18016597566294032, 'n': 4, 'trace_an': 0}
-
id: 41676011
{'hecke_orbit_code': 18016597566294032, 'n': 5, 'trace_an': 0}
-
id: 41676012
{'hecke_orbit_code': 18016597566294032, 'n': 6, 'trace_an': 0}
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id: 41676013
{'hecke_orbit_code': 18016597566294032, 'n': 7, 'trace_an': -2}
-
id: 41676014
{'hecke_orbit_code': 18016597566294032, 'n': 8, 'trace_an': 0}
-
id: 41676015
{'hecke_orbit_code': 18016597566294032, 'n': 9, 'trace_an': -1}
-
id: 41676016
{'hecke_orbit_code': 18016597566294032, 'n': 10, 'trace_an': 0}
-
id: 41676017
{'hecke_orbit_code': 18016597566294032, 'n': 11, 'trace_an': 0}
-
id: 41676018
{'hecke_orbit_code': 18016597566294032, 'n': 12, 'trace_an': 0}
-
id: 41676019
{'hecke_orbit_code': 18016597566294032, 'n': 13, 'trace_an': 4}
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id: 41676020
{'hecke_orbit_code': 18016597566294032, 'n': 14, 'trace_an': 0}
-
id: 41676021
{'hecke_orbit_code': 18016597566294032, 'n': 15, 'trace_an': 0}
-
id: 41676022
{'hecke_orbit_code': 18016597566294032, 'n': 16, 'trace_an': 0}
-
id: 41676023
{'hecke_orbit_code': 18016597566294032, 'n': 17, 'trace_an': 3}
-
id: 41676024
{'hecke_orbit_code': 18016597566294032, 'n': 18, 'trace_an': 0}
-
id: 41676025
{'hecke_orbit_code': 18016597566294032, 'n': 19, 'trace_an': 5}
-
id: 41676026
{'hecke_orbit_code': 18016597566294032, 'n': 20, 'trace_an': 0}
-
id: 41676027
{'hecke_orbit_code': 18016597566294032, 'n': 21, 'trace_an': -4}
-
id: 41676028
{'hecke_orbit_code': 18016597566294032, 'n': 22, 'trace_an': 0}
-
id: 41676029
{'hecke_orbit_code': 18016597566294032, 'n': 23, 'trace_an': 0}
-
id: 41676030
{'hecke_orbit_code': 18016597566294032, 'n': 24, 'trace_an': 0}
-
id: 41676031
{'hecke_orbit_code': 18016597566294032, 'n': 25, 'trace_an': -5}
-
id: 41676032
{'hecke_orbit_code': 18016597566294032, 'n': 26, 'trace_an': 0}
-
id: 41676033
{'hecke_orbit_code': 18016597566294032, 'n': 27, 'trace_an': -2}
-
id: 41676034
{'hecke_orbit_code': 18016597566294032, 'n': 28, 'trace_an': 0}
-
id: 41676035
{'hecke_orbit_code': 18016597566294032, 'n': 29, 'trace_an': 12}
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id: 41676036
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