-
mf_newforms • Show schema
Hide schema
{'Nk2': 183040, 'analytic_conductor': 365.39543964937906, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [11, 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': [45760, 1, [41471, 8581, 27457, 24961, 14081], [71, 71, 71, 71, 71]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-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_orbit': 71, 'hecke_orbit_code': 315251973949534912, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '45760.2.a.cs', 'level': 45760, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11, 13], 'level_radical': 1430, 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45760.2.a', 'trace_display': [0, 0, -2, 0], 'traces': [2, 0, 0, 0, -2, 0, 0, 0, 8, 0, -2, 0, -2, 0, 0, 0, 4, 0, 8, 0, 14, 0, -2, 0, 2, 0, 0, 0, 8, 0, -2, 0, 0, 0, 0, 0, 16, 0, 0, 0, 10, 0, 18, 0, -8, 0, -6, 0, 0, 0, 14, 0, -2, 0, 2, 0, 14, 0, -8, 0, 8, 0, 0, 0, 2, 0, 8, 0, 14, 0, 14, 0, 0, 0, 0, 0, 0, 0, -26, 0, -10, 0, -4, 0, -4, 0, -14, 0, 0, 0, 0, 0, 28, 0, -8, 0, -4, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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label 45760.2.a.cs does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [60, 58, 58, 60, 65, 57, 57, 65, 60, 62, 62, 60, 55, 63, 63, 55], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [431, 446, 446, 446, 447, 441, 441, 431, 448, 432, 440, 440, 439, 445, 437, 447], 'Nk2': 183040, 'analytic_conductor': 365.39543964937906, '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': [45760, 1, [41471, 8581, 27457, 24961, 14081], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 8017, 'dim': 960, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33600192, '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, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 18, 18, 19, 19], 'label': '45760.2.a', 'level': 45760, '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, 5, 11, 13], 'level_radical': 1430, 'mf_dim': 8112, 'mf_new_dim': 960, 'num_forms': 188, 'plus_dim': 468, 'prim_orbit_index': 1, 'relative_dim': 960, 'sturm_bound': 16128, 'trace_display': [0, 0, 0, 0], 'traces': [960, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 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, 0, 0, 0, 0, 896, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, -64, 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, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -320, 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, -128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 1088, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 192, 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, 64, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 1088, 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, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -320, 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, 960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 128, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 64, 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, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, -576, 0, 0, 0, -128, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -128, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -416, 0, 0, 0, 960, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 192, 0, 0, 0, 192, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -128, 0, 0, 0, 192, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, -128, 0, 0, 0, -320, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -192, 0, 0, 0, 384, 0, 0, 0, 512, 0, 0, 0, 192, 0, 0, 0, 576, 0, 0, 0, -256, 0, 0, 0, -64, 0, 0, 0, 384, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 448, 0, 0, 0, -256, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 640, 0, 0, 0, 768, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 608, 0, 0, 0, 128, 0, 0, 0, 192, 0, 0, 0, 640, 0, 0, 0, 192, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 608, 0, 0, 0, -128, 0, 0, 0, -256, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 1216, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -256, 0, 0, 0, 512, 0, 0, 0, 512, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 45760.2.a.cs does not appear in mf_twists_nf
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hecke_orbit_code 315251973949534912 does not appear in mf_hecke_charpolys
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label 45760.2.a.cs does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 178083742
{'hecke_orbit_code': 315251973949534912, 'n': 1, 'trace_an': 2}
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id: 178083743
{'hecke_orbit_code': 315251973949534912, 'n': 2, 'trace_an': 0}
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id: 178083744
{'hecke_orbit_code': 315251973949534912, 'n': 3, 'trace_an': 0}
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id: 178083745
{'hecke_orbit_code': 315251973949534912, 'n': 4, 'trace_an': 0}
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id: 178083746
{'hecke_orbit_code': 315251973949534912, 'n': 5, 'trace_an': -2}
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id: 178083747
{'hecke_orbit_code': 315251973949534912, 'n': 6, 'trace_an': 0}
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id: 178083748
{'hecke_orbit_code': 315251973949534912, 'n': 7, 'trace_an': 0}
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id: 178083749
{'hecke_orbit_code': 315251973949534912, 'n': 8, 'trace_an': 0}
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id: 178083750
{'hecke_orbit_code': 315251973949534912, 'n': 9, 'trace_an': 8}
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id: 178083751
{'hecke_orbit_code': 315251973949534912, 'n': 10, 'trace_an': 0}
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id: 178083752
{'hecke_orbit_code': 315251973949534912, 'n': 11, 'trace_an': -2}
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id: 178083753
{'hecke_orbit_code': 315251973949534912, 'n': 12, 'trace_an': 0}
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id: 178083754
{'hecke_orbit_code': 315251973949534912, 'n': 13, 'trace_an': -2}
-
id: 178083755
{'hecke_orbit_code': 315251973949534912, 'n': 14, 'trace_an': 0}
-
id: 178083756
{'hecke_orbit_code': 315251973949534912, 'n': 15, 'trace_an': 0}
-
id: 178083757
{'hecke_orbit_code': 315251973949534912, 'n': 16, 'trace_an': 0}
-
id: 178083758
{'hecke_orbit_code': 315251973949534912, 'n': 17, 'trace_an': 4}
-
id: 178083759
{'hecke_orbit_code': 315251973949534912, 'n': 18, 'trace_an': 0}
-
id: 178083760
{'hecke_orbit_code': 315251973949534912, 'n': 19, 'trace_an': 8}
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id: 178083761
{'hecke_orbit_code': 315251973949534912, 'n': 20, 'trace_an': 0}
-
id: 178083762
{'hecke_orbit_code': 315251973949534912, 'n': 21, 'trace_an': 14}
-
id: 178083763
{'hecke_orbit_code': 315251973949534912, 'n': 22, 'trace_an': 0}
-
id: 178083764
{'hecke_orbit_code': 315251973949534912, 'n': 23, 'trace_an': -2}
-
id: 178083765
{'hecke_orbit_code': 315251973949534912, 'n': 24, 'trace_an': 0}
-
id: 178083766
{'hecke_orbit_code': 315251973949534912, 'n': 25, 'trace_an': 2}
-
id: 178083767
{'hecke_orbit_code': 315251973949534912, 'n': 26, 'trace_an': 0}
-
id: 178083768
{'hecke_orbit_code': 315251973949534912, 'n': 27, 'trace_an': 0}
-
id: 178083769
{'hecke_orbit_code': 315251973949534912, 'n': 28, 'trace_an': 0}
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id: 178083770
{'hecke_orbit_code': 315251973949534912, 'n': 29, 'trace_an': 8}
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id: 178083771
{'hecke_orbit_code': 315251973949534912, 'n': 30, 'trace_an': 0}
-
id: 178083772
{'hecke_orbit_code': 315251973949534912, 'n': 31, 'trace_an': -2}
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id: 178083773
{'hecke_orbit_code': 315251973949534912, 'n': 32, 'trace_an': 0}
-
id: 178083774
{'hecke_orbit_code': 315251973949534912, 'n': 33, 'trace_an': 0}
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id: 178083775
{'hecke_orbit_code': 315251973949534912, 'n': 34, 'trace_an': 0}
-
id: 178083776
{'hecke_orbit_code': 315251973949534912, 'n': 35, 'trace_an': 0}
-
id: 178083777
{'hecke_orbit_code': 315251973949534912, 'n': 36, 'trace_an': 0}
-
id: 178083778
{'hecke_orbit_code': 315251973949534912, 'n': 37, 'trace_an': 16}
-
id: 178083779
{'hecke_orbit_code': 315251973949534912, 'n': 38, 'trace_an': 0}
-
id: 178083780
{'hecke_orbit_code': 315251973949534912, 'n': 39, 'trace_an': 0}
-
id: 178083781
{'hecke_orbit_code': 315251973949534912, 'n': 40, 'trace_an': 0}
-
id: 178083782
{'hecke_orbit_code': 315251973949534912, 'n': 41, 'trace_an': 10}
-
id: 178083783
{'hecke_orbit_code': 315251973949534912, 'n': 42, 'trace_an': 0}
-
id: 178083784
{'hecke_orbit_code': 315251973949534912, 'n': 43, 'trace_an': 18}
-
id: 178083785
{'hecke_orbit_code': 315251973949534912, 'n': 44, 'trace_an': 0}
-
id: 178083786
{'hecke_orbit_code': 315251973949534912, 'n': 45, 'trace_an': -8}
-
id: 178083787
{'hecke_orbit_code': 315251973949534912, 'n': 46, 'trace_an': 0}
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id: 178083788
{'hecke_orbit_code': 315251973949534912, 'n': 47, 'trace_an': -6}
-
id: 178083789
{'hecke_orbit_code': 315251973949534912, 'n': 48, 'trace_an': 0}
-
id: 178083790
{'hecke_orbit_code': 315251973949534912, 'n': 49, 'trace_an': 0}
-
id: 178083791
{'hecke_orbit_code': 315251973949534912, 'n': 50, 'trace_an': 0}
-
id: 178083792
{'hecke_orbit_code': 315251973949534912, 'n': 51, 'trace_an': 14}
-
id: 178083793
{'hecke_orbit_code': 315251973949534912, 'n': 52, 'trace_an': 0}
-
id: 178083794
{'hecke_orbit_code': 315251973949534912, 'n': 53, 'trace_an': -2}
-
id: 178083795
{'hecke_orbit_code': 315251973949534912, 'n': 54, 'trace_an': 0}
-
id: 178083796
{'hecke_orbit_code': 315251973949534912, 'n': 55, 'trace_an': 2}
-
id: 178083797
{'hecke_orbit_code': 315251973949534912, 'n': 56, 'trace_an': 0}
-
id: 178083798
{'hecke_orbit_code': 315251973949534912, 'n': 57, 'trace_an': 14}
-
id: 178083799
{'hecke_orbit_code': 315251973949534912, 'n': 58, 'trace_an': 0}
-
id: 178083800
{'hecke_orbit_code': 315251973949534912, 'n': 59, 'trace_an': -8}
-
id: 178083801
{'hecke_orbit_code': 315251973949534912, 'n': 60, 'trace_an': 0}
-
id: 178083802
{'hecke_orbit_code': 315251973949534912, 'n': 61, 'trace_an': 8}
-
id: 178083803
{'hecke_orbit_code': 315251973949534912, 'n': 62, 'trace_an': 0}
-
id: 178083804
{'hecke_orbit_code': 315251973949534912, 'n': 63, 'trace_an': 0}
-
id: 178083805
{'hecke_orbit_code': 315251973949534912, 'n': 64, 'trace_an': 0}
-
id: 178083806
{'hecke_orbit_code': 315251973949534912, 'n': 65, 'trace_an': 2}
-
id: 178083807
{'hecke_orbit_code': 315251973949534912, 'n': 66, 'trace_an': 0}
-
id: 178083808
{'hecke_orbit_code': 315251973949534912, 'n': 67, 'trace_an': 8}
-
id: 178083809
{'hecke_orbit_code': 315251973949534912, 'n': 68, 'trace_an': 0}
-
id: 178083810
{'hecke_orbit_code': 315251973949534912, 'n': 69, 'trace_an': 14}
-
id: 178083811
{'hecke_orbit_code': 315251973949534912, 'n': 70, 'trace_an': 0}
-
id: 178083812
{'hecke_orbit_code': 315251973949534912, 'n': 71, 'trace_an': 14}
-
id: 178083813
{'hecke_orbit_code': 315251973949534912, 'n': 72, 'trace_an': 0}
-
id: 178083814
{'hecke_orbit_code': 315251973949534912, 'n': 73, 'trace_an': 0}
-
id: 178083815
{'hecke_orbit_code': 315251973949534912, 'n': 74, 'trace_an': 0}
-
id: 178083816
{'hecke_orbit_code': 315251973949534912, 'n': 75, 'trace_an': 0}
-
id: 178083817
{'hecke_orbit_code': 315251973949534912, 'n': 76, 'trace_an': 0}
-
id: 178083818
{'hecke_orbit_code': 315251973949534912, 'n': 77, 'trace_an': 0}
-
id: 178083819
{'hecke_orbit_code': 315251973949534912, 'n': 78, 'trace_an': 0}
-
id: 178083820
{'hecke_orbit_code': 315251973949534912, 'n': 79, 'trace_an': -26}
-
id: 178083821
{'hecke_orbit_code': 315251973949534912, 'n': 80, 'trace_an': 0}
-
id: 178083822
{'hecke_orbit_code': 315251973949534912, 'n': 81, 'trace_an': -10}
-
id: 178083823
{'hecke_orbit_code': 315251973949534912, 'n': 82, 'trace_an': 0}
-
id: 178083824
{'hecke_orbit_code': 315251973949534912, 'n': 83, 'trace_an': -4}
-
id: 178083825
{'hecke_orbit_code': 315251973949534912, 'n': 84, 'trace_an': 0}
-
id: 178083826
{'hecke_orbit_code': 315251973949534912, 'n': 85, 'trace_an': -4}
-
id: 178083827
{'hecke_orbit_code': 315251973949534912, 'n': 86, 'trace_an': 0}
-
id: 178083828
{'hecke_orbit_code': 315251973949534912, 'n': 87, 'trace_an': -14}
-
id: 178083829
{'hecke_orbit_code': 315251973949534912, 'n': 88, 'trace_an': 0}
-
id: 178083830
{'hecke_orbit_code': 315251973949534912, 'n': 89, 'trace_an': 0}
-
id: 178083831
{'hecke_orbit_code': 315251973949534912, 'n': 90, 'trace_an': 0}
-
id: 178083832
{'hecke_orbit_code': 315251973949534912, 'n': 91, 'trace_an': 0}
-
id: 178083833
{'hecke_orbit_code': 315251973949534912, 'n': 92, 'trace_an': 0}
-
id: 178083834
{'hecke_orbit_code': 315251973949534912, 'n': 93, 'trace_an': 28}
-
id: 178083835
{'hecke_orbit_code': 315251973949534912, 'n': 94, 'trace_an': 0}
-
id: 178083836
{'hecke_orbit_code': 315251973949534912, 'n': 95, 'trace_an': -8}
-
id: 178083837
{'hecke_orbit_code': 315251973949534912, 'n': 96, 'trace_an': 0}
-
id: 178083838
{'hecke_orbit_code': 315251973949534912, 'n': 97, 'trace_an': -4}
-
id: 178083839
{'hecke_orbit_code': 315251973949534912, 'n': 98, 'trace_an': 0}
-
id: 178083840
{'hecke_orbit_code': 315251973949534912, 'n': 99, 'trace_an': -8}
-
id: 178083841
{'hecke_orbit_code': 315251973949534912, 'n': 100, 'trace_an': 0}