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mf_newforms • Show schema
Hide schema
{'Nk2': 97200, 'analytic_conductor': 194.03647691171133, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [24300, 1, [12151, 22601, 7777], [41, 41, 41]], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-6, 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': 41, 'hecke_orbit_code': 180143985128398572, 'inner_twist_count': -1, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'label': '24300.2.a.bo', 'level': 24300, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'nf_label': '2.2.24.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'space_label': '24300.2.a', 'trace_display': [0, 0, 0, 2], 'traces': [2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 24300.2.a.bo does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [0, 0, 0, 0, 57, 58, 51, 62], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [53, 54, 54, 54, 27, 27, 27, 27], 'ALdims_old': [568, 594, 594, 567, 537, 536, 543, 532], 'Nk2': 97200, 'analytic_conductor': 194.03647691171133, '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': [24300, 1, [12151, 22601, 7777], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4699, 'dim': 228, 'eis_dim': 323, 'eis_new_dim': 0, 'hecke_orbit_code': 33578732, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 9, 9, 9, 9, 18, 18], 'label': '24300.2.a', 'level': 24300, 'level_is_powerful': True, '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, 5], 'level_radical': 30, 'mf_dim': 5022, 'mf_new_dim': 228, 'num_forms': 75, 'plus_dim': 109, 'prim_orbit_index': 1, 'relative_dim': 228, 'sturm_bound': 9720, 'trace_display': [0, 0, 0, -3], 'traces': [228, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 69, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 246, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 189, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -39, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -57, 0, 0, 0, 0, 0, -33, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -87, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 174, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 33, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21, 0, 0, 0, 0, 0, 33, 0, 0, 0, 0, 0, -87, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 243, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, -57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -105, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -57, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 105, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 147, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -165, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, -51, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 123, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -93, 0, 0, 0, 0, 0, -63, 0, 0, 0, 0, 0, -138, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -75, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 33, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -105, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -69, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -39, 0, 0, 0, 0, 0, 186, 0, 0, 0, 0, 0, 249, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 237, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, -33, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -21, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 423, 0, 0, 0, 0, 0, -57, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -33, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, -33, 0, 0, 0, 0, 0, 306, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 78, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 24300.2.a.bo does not appear in mf_twists_nf
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hecke_orbit_code 180143985128398572 does not appear in mf_hecke_charpolys
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label 24300.2.a.bo does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 169785842
{'hecke_orbit_code': 180143985128398572, 'n': 1, 'trace_an': 2}
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id: 169785843
{'hecke_orbit_code': 180143985128398572, 'n': 2, 'trace_an': 0}
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id: 169785844
{'hecke_orbit_code': 180143985128398572, 'n': 3, 'trace_an': 0}
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id: 169785845
{'hecke_orbit_code': 180143985128398572, 'n': 4, 'trace_an': 0}
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id: 169785846
{'hecke_orbit_code': 180143985128398572, 'n': 5, 'trace_an': 0}
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id: 169785847
{'hecke_orbit_code': 180143985128398572, 'n': 6, 'trace_an': 0}
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id: 169785848
{'hecke_orbit_code': 180143985128398572, 'n': 7, 'trace_an': 2}
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id: 169785849
{'hecke_orbit_code': 180143985128398572, 'n': 8, 'trace_an': 0}
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id: 169785850
{'hecke_orbit_code': 180143985128398572, 'n': 9, 'trace_an': 0}
-
id: 169785851
{'hecke_orbit_code': 180143985128398572, 'n': 10, 'trace_an': 0}
-
id: 169785852
{'hecke_orbit_code': 180143985128398572, 'n': 11, 'trace_an': 0}
-
id: 169785853
{'hecke_orbit_code': 180143985128398572, 'n': 12, 'trace_an': 0}
-
id: 169785854
{'hecke_orbit_code': 180143985128398572, 'n': 13, 'trace_an': 8}
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id: 169785855
{'hecke_orbit_code': 180143985128398572, 'n': 14, 'trace_an': 0}
-
id: 169785856
{'hecke_orbit_code': 180143985128398572, 'n': 15, 'trace_an': 0}
-
id: 169785857
{'hecke_orbit_code': 180143985128398572, 'n': 16, 'trace_an': 0}
-
id: 169785858
{'hecke_orbit_code': 180143985128398572, 'n': 17, 'trace_an': 0}
-
id: 169785859
{'hecke_orbit_code': 180143985128398572, 'n': 18, 'trace_an': 0}
-
id: 169785860
{'hecke_orbit_code': 180143985128398572, 'n': 19, 'trace_an': -2}
-
id: 169785861
{'hecke_orbit_code': 180143985128398572, 'n': 20, 'trace_an': 0}
-
id: 169785862
{'hecke_orbit_code': 180143985128398572, 'n': 21, 'trace_an': 0}
-
id: 169785863
{'hecke_orbit_code': 180143985128398572, 'n': 22, 'trace_an': 0}
-
id: 169785864
{'hecke_orbit_code': 180143985128398572, 'n': 23, 'trace_an': 0}
-
id: 169785865
{'hecke_orbit_code': 180143985128398572, 'n': 24, 'trace_an': 0}
-
id: 169785866
{'hecke_orbit_code': 180143985128398572, 'n': 25, 'trace_an': 0}
-
id: 169785867
{'hecke_orbit_code': 180143985128398572, 'n': 26, 'trace_an': 0}
-
id: 169785868
{'hecke_orbit_code': 180143985128398572, 'n': 27, 'trace_an': 0}
-
id: 169785869
{'hecke_orbit_code': 180143985128398572, 'n': 28, 'trace_an': 0}
-
id: 169785870
{'hecke_orbit_code': 180143985128398572, 'n': 29, 'trace_an': 0}
-
id: 169785871
{'hecke_orbit_code': 180143985128398572, 'n': 30, 'trace_an': 0}
-
id: 169785872
{'hecke_orbit_code': 180143985128398572, 'n': 31, 'trace_an': 4}
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id: 169785873
{'hecke_orbit_code': 180143985128398572, 'n': 32, 'trace_an': 0}
-
id: 169785874
{'hecke_orbit_code': 180143985128398572, 'n': 33, 'trace_an': 0}
-
id: 169785875
{'hecke_orbit_code': 180143985128398572, 'n': 34, 'trace_an': 0}
-
id: 169785876
{'hecke_orbit_code': 180143985128398572, 'n': 35, 'trace_an': 0}
-
id: 169785877
{'hecke_orbit_code': 180143985128398572, 'n': 36, 'trace_an': 0}
-
id: 169785878
{'hecke_orbit_code': 180143985128398572, 'n': 37, 'trace_an': -16}
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id: 169785879
{'hecke_orbit_code': 180143985128398572, 'n': 38, 'trace_an': 0}
-
id: 169785880
{'hecke_orbit_code': 180143985128398572, 'n': 39, 'trace_an': 0}
-
id: 169785881
{'hecke_orbit_code': 180143985128398572, 'n': 40, 'trace_an': 0}
-
id: 169785882
{'hecke_orbit_code': 180143985128398572, 'n': 41, 'trace_an': 0}
-
id: 169785883
{'hecke_orbit_code': 180143985128398572, 'n': 42, 'trace_an': 0}
-
id: 169785884
{'hecke_orbit_code': 180143985128398572, 'n': 43, 'trace_an': 2}
-
id: 169785885
{'hecke_orbit_code': 180143985128398572, 'n': 44, 'trace_an': 0}
-
id: 169785886
{'hecke_orbit_code': 180143985128398572, 'n': 45, 'trace_an': 0}
-
id: 169785887
{'hecke_orbit_code': 180143985128398572, 'n': 46, 'trace_an': 0}
-
id: 169785888
{'hecke_orbit_code': 180143985128398572, 'n': 47, 'trace_an': 0}
-
id: 169785889
{'hecke_orbit_code': 180143985128398572, 'n': 48, 'trace_an': 0}
-
id: 169785890
{'hecke_orbit_code': 180143985128398572, 'n': 49, 'trace_an': -12}
-
id: 169785891
{'hecke_orbit_code': 180143985128398572, 'n': 50, 'trace_an': 0}
-
id: 169785892
{'hecke_orbit_code': 180143985128398572, 'n': 51, 'trace_an': 0}
-
id: 169785893
{'hecke_orbit_code': 180143985128398572, 'n': 52, 'trace_an': 0}
-
id: 169785894
{'hecke_orbit_code': 180143985128398572, 'n': 53, 'trace_an': 0}
-
id: 169785895
{'hecke_orbit_code': 180143985128398572, 'n': 54, 'trace_an': 0}
-
id: 169785896
{'hecke_orbit_code': 180143985128398572, 'n': 55, 'trace_an': 0}
-
id: 169785897
{'hecke_orbit_code': 180143985128398572, 'n': 56, 'trace_an': 0}
-
id: 169785898
{'hecke_orbit_code': 180143985128398572, 'n': 57, 'trace_an': 0}
-
id: 169785899
{'hecke_orbit_code': 180143985128398572, 'n': 58, 'trace_an': 0}
-
id: 169785900
{'hecke_orbit_code': 180143985128398572, 'n': 59, 'trace_an': 0}
-
id: 169785901
{'hecke_orbit_code': 180143985128398572, 'n': 60, 'trace_an': 0}
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id: 169785902
{'hecke_orbit_code': 180143985128398572, 'n': 61, 'trace_an': -8}
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id: 169785903
{'hecke_orbit_code': 180143985128398572, 'n': 62, 'trace_an': 0}
-
id: 169785904
{'hecke_orbit_code': 180143985128398572, 'n': 63, 'trace_an': 0}
-
id: 169785905
{'hecke_orbit_code': 180143985128398572, 'n': 64, 'trace_an': 0}
-
id: 169785906
{'hecke_orbit_code': 180143985128398572, 'n': 65, 'trace_an': 0}
-
id: 169785907
{'hecke_orbit_code': 180143985128398572, 'n': 66, 'trace_an': 0}
-
id: 169785908
{'hecke_orbit_code': 180143985128398572, 'n': 67, 'trace_an': -22}
-
id: 169785909
{'hecke_orbit_code': 180143985128398572, 'n': 68, 'trace_an': 0}
-
id: 169785910
{'hecke_orbit_code': 180143985128398572, 'n': 69, 'trace_an': 0}
-
id: 169785911
{'hecke_orbit_code': 180143985128398572, 'n': 70, 'trace_an': 0}
-
id: 169785912
{'hecke_orbit_code': 180143985128398572, 'n': 71, 'trace_an': 0}
-
id: 169785913
{'hecke_orbit_code': 180143985128398572, 'n': 72, 'trace_an': 0}
-
id: 169785914
{'hecke_orbit_code': 180143985128398572, 'n': 73, 'trace_an': -22}
-
id: 169785915
{'hecke_orbit_code': 180143985128398572, 'n': 74, 'trace_an': 0}
-
id: 169785916
{'hecke_orbit_code': 180143985128398572, 'n': 75, 'trace_an': 0}
-
id: 169785917
{'hecke_orbit_code': 180143985128398572, 'n': 76, 'trace_an': 0}
-
id: 169785918
{'hecke_orbit_code': 180143985128398572, 'n': 77, 'trace_an': 0}
-
id: 169785919
{'hecke_orbit_code': 180143985128398572, 'n': 78, 'trace_an': 0}
-
id: 169785920
{'hecke_orbit_code': 180143985128398572, 'n': 79, 'trace_an': 10}
-
id: 169785921
{'hecke_orbit_code': 180143985128398572, 'n': 80, 'trace_an': 0}
-
id: 169785922
{'hecke_orbit_code': 180143985128398572, 'n': 81, 'trace_an': 0}
-
id: 169785923
{'hecke_orbit_code': 180143985128398572, 'n': 82, 'trace_an': 0}
-
id: 169785924
{'hecke_orbit_code': 180143985128398572, 'n': 83, 'trace_an': 0}
-
id: 169785925
{'hecke_orbit_code': 180143985128398572, 'n': 84, 'trace_an': 0}
-
id: 169785926
{'hecke_orbit_code': 180143985128398572, 'n': 85, 'trace_an': 0}
-
id: 169785927
{'hecke_orbit_code': 180143985128398572, 'n': 86, 'trace_an': 0}
-
id: 169785928
{'hecke_orbit_code': 180143985128398572, 'n': 87, 'trace_an': 0}
-
id: 169785929
{'hecke_orbit_code': 180143985128398572, 'n': 88, 'trace_an': 0}
-
id: 169785930
{'hecke_orbit_code': 180143985128398572, 'n': 89, 'trace_an': 0}
-
id: 169785931
{'hecke_orbit_code': 180143985128398572, 'n': 90, 'trace_an': 0}
-
id: 169785932
{'hecke_orbit_code': 180143985128398572, 'n': 91, 'trace_an': 8}
-
id: 169785933
{'hecke_orbit_code': 180143985128398572, 'n': 92, 'trace_an': 0}
-
id: 169785934
{'hecke_orbit_code': 180143985128398572, 'n': 93, 'trace_an': 0}
-
id: 169785935
{'hecke_orbit_code': 180143985128398572, 'n': 94, 'trace_an': 0}
-
id: 169785936
{'hecke_orbit_code': 180143985128398572, 'n': 95, 'trace_an': 0}
-
id: 169785937
{'hecke_orbit_code': 180143985128398572, 'n': 96, 'trace_an': 0}
-
id: 169785938
{'hecke_orbit_code': 180143985128398572, 'n': 97, 'trace_an': -10}
-
id: 169785939
{'hecke_orbit_code': 180143985128398572, 'n': 98, 'trace_an': 0}
-
id: 169785940
{'hecke_orbit_code': 180143985128398572, 'n': 99, 'trace_an': 0}
-
id: 169785941
{'hecke_orbit_code': 180143985128398572, 'n': 100, 'trace_an': 0}