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mf_newforms • Show schema
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{'Nk2': 147968, 'analytic_conductor': 295.3826071571204, 'atkin_lehner_eigenvals': [[2, 1], [17, 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': [36992, 1, [17919, 1157, 17921], [36, 36, 36]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 3, 'field_disc_factorization': [[3, 1]], 'field_poly': [1, -3, -1, 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': 36, 'hecke_orbit_code': 157625986991558784, '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': '36992.2.a.bj', 'level': 36992, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 17], 'level_radical': 34, 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '36992.2.a', 'trace_display': [0, 0, -2, 2], 'traces': [3, 0, 0, 0, -2, 0, 2, 0, -1, 0, 6, 0, 4, 0, -6, 0, 0, 0, -2, 0, -2, 0, 0, 0, -3, 0, 6, 0, -6, 0, 12, 0, -8, 0, -6, 0, -2, 0, -6, 0, 10, 0, -8, 0, -10, 0, -18, 0, -13, 0, 0, 0, 6, 0, 2, 0, 8, 0, -16, 0, 2, 0, 4, 0, 8, 0, 6, 0, 22, 0, 6, 0, 2, 0, 16, 0, 6, 0, 24, 0, -13, 0, -8, 0, 0, 0, 14, 0, -2, 0, -2, 0, 10, 0, 20, 0, -6, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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label 36992.2.a.bj does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [263, 280, 277, 264], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [71, 72, 72, 72], 'ALdims_old': [908, 922, 929, 910], 'Nk2': 147968, 'analytic_conductor': 295.3826071571204, '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': [36992, 1, [17919, 1157, 17921], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4753, 'dim': 1084, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33591424, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 40, 40, 40, 40], 'label': '36992.2.a', 'level': 36992, '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, 17], 'level_radical': 34, 'mf_dim': 5040, 'mf_new_dim': 1084, 'num_forms': 116, 'plus_dim': 527, 'prim_orbit_index': 1, 'relative_dim': 1084, 'sturm_bound': 9792, 'trace_display': [0, 0, 0, 0], 'traces': [1084, 0, 0, 0, 0, 0, 0, 0, 1084, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1092, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 1116, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 1068, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 1052, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 1124, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 1156, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 1148, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 1436, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 1116, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 1100, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, -16, 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, 192, 0, 0, 0, 0, 0, 0, 0, 1036, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 868, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -376, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -488, 0, 0, 0, 0, 0, 0, 0, 1212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 36992.2.a.bj does not appear in mf_twists_nf
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hecke_orbit_code 157625986991558784 does not appear in mf_hecke_charpolys
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label 36992.2.a.bj does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
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id: 167757842
{'hecke_orbit_code': 157625986991558784, 'n': 1, 'trace_an': 3}
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id: 167757843
{'hecke_orbit_code': 157625986991558784, 'n': 2, 'trace_an': 0}
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id: 167757844
{'hecke_orbit_code': 157625986991558784, 'n': 3, 'trace_an': 0}
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id: 167757845
{'hecke_orbit_code': 157625986991558784, 'n': 4, 'trace_an': 0}
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id: 167757846
{'hecke_orbit_code': 157625986991558784, 'n': 5, 'trace_an': -2}
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id: 167757847
{'hecke_orbit_code': 157625986991558784, 'n': 6, 'trace_an': 0}
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id: 167757848
{'hecke_orbit_code': 157625986991558784, 'n': 7, 'trace_an': 2}
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id: 167757849
{'hecke_orbit_code': 157625986991558784, 'n': 8, 'trace_an': 0}
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id: 167757850
{'hecke_orbit_code': 157625986991558784, 'n': 9, 'trace_an': -1}
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id: 167757851
{'hecke_orbit_code': 157625986991558784, 'n': 10, 'trace_an': 0}
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id: 167757852
{'hecke_orbit_code': 157625986991558784, 'n': 11, 'trace_an': 6}
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id: 167757853
{'hecke_orbit_code': 157625986991558784, 'n': 12, 'trace_an': 0}
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id: 167757854
{'hecke_orbit_code': 157625986991558784, 'n': 13, 'trace_an': 4}
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id: 167757855
{'hecke_orbit_code': 157625986991558784, 'n': 14, 'trace_an': 0}
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id: 167757856
{'hecke_orbit_code': 157625986991558784, 'n': 15, 'trace_an': -6}
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id: 167757857
{'hecke_orbit_code': 157625986991558784, 'n': 16, 'trace_an': 0}
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id: 167757858
{'hecke_orbit_code': 157625986991558784, 'n': 17, 'trace_an': 0}
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id: 167757859
{'hecke_orbit_code': 157625986991558784, 'n': 18, 'trace_an': 0}
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id: 167757860
{'hecke_orbit_code': 157625986991558784, 'n': 19, 'trace_an': -2}
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id: 167757861
{'hecke_orbit_code': 157625986991558784, 'n': 20, 'trace_an': 0}
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id: 167757862
{'hecke_orbit_code': 157625986991558784, 'n': 21, 'trace_an': -2}
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id: 167757863
{'hecke_orbit_code': 157625986991558784, 'n': 22, 'trace_an': 0}
-
id: 167757864
{'hecke_orbit_code': 157625986991558784, 'n': 23, 'trace_an': 0}
-
id: 167757865
{'hecke_orbit_code': 157625986991558784, 'n': 24, 'trace_an': 0}
-
id: 167757866
{'hecke_orbit_code': 157625986991558784, 'n': 25, 'trace_an': -3}
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id: 167757867
{'hecke_orbit_code': 157625986991558784, 'n': 26, 'trace_an': 0}
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id: 167757868
{'hecke_orbit_code': 157625986991558784, 'n': 27, 'trace_an': 6}
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id: 167757869
{'hecke_orbit_code': 157625986991558784, 'n': 28, 'trace_an': 0}
-
id: 167757870
{'hecke_orbit_code': 157625986991558784, 'n': 29, 'trace_an': -6}
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id: 167757871
{'hecke_orbit_code': 157625986991558784, 'n': 30, 'trace_an': 0}
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id: 167757872
{'hecke_orbit_code': 157625986991558784, 'n': 31, 'trace_an': 12}
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id: 167757873
{'hecke_orbit_code': 157625986991558784, 'n': 32, 'trace_an': 0}
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id: 167757874
{'hecke_orbit_code': 157625986991558784, 'n': 33, 'trace_an': -8}
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id: 167757875
{'hecke_orbit_code': 157625986991558784, 'n': 34, 'trace_an': 0}
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id: 167757876
{'hecke_orbit_code': 157625986991558784, 'n': 35, 'trace_an': -6}
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id: 167757877
{'hecke_orbit_code': 157625986991558784, 'n': 36, 'trace_an': 0}
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id: 167757878
{'hecke_orbit_code': 157625986991558784, 'n': 37, 'trace_an': -2}
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id: 167757879
{'hecke_orbit_code': 157625986991558784, 'n': 38, 'trace_an': 0}
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id: 167757880
{'hecke_orbit_code': 157625986991558784, 'n': 39, 'trace_an': -6}
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id: 167757881
{'hecke_orbit_code': 157625986991558784, 'n': 40, 'trace_an': 0}
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id: 167757882
{'hecke_orbit_code': 157625986991558784, 'n': 41, 'trace_an': 10}
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id: 167757883
{'hecke_orbit_code': 157625986991558784, 'n': 42, 'trace_an': 0}
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id: 167757884
{'hecke_orbit_code': 157625986991558784, 'n': 43, 'trace_an': -8}
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id: 167757885
{'hecke_orbit_code': 157625986991558784, 'n': 44, 'trace_an': 0}
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id: 167757886
{'hecke_orbit_code': 157625986991558784, 'n': 45, 'trace_an': -10}
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id: 167757887
{'hecke_orbit_code': 157625986991558784, 'n': 46, 'trace_an': 0}
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id: 167757888
{'hecke_orbit_code': 157625986991558784, 'n': 47, 'trace_an': -18}
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id: 167757889
{'hecke_orbit_code': 157625986991558784, 'n': 48, 'trace_an': 0}
-
id: 167757890
{'hecke_orbit_code': 157625986991558784, 'n': 49, 'trace_an': -13}
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id: 167757891
{'hecke_orbit_code': 157625986991558784, 'n': 50, 'trace_an': 0}
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id: 167757892
{'hecke_orbit_code': 157625986991558784, 'n': 51, 'trace_an': 0}
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id: 167757893
{'hecke_orbit_code': 157625986991558784, 'n': 52, 'trace_an': 0}
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id: 167757894
{'hecke_orbit_code': 157625986991558784, 'n': 53, 'trace_an': 6}
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id: 167757895
{'hecke_orbit_code': 157625986991558784, 'n': 54, 'trace_an': 0}
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id: 167757896
{'hecke_orbit_code': 157625986991558784, 'n': 55, 'trace_an': 2}
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id: 167757897
{'hecke_orbit_code': 157625986991558784, 'n': 56, 'trace_an': 0}
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id: 167757898
{'hecke_orbit_code': 157625986991558784, 'n': 57, 'trace_an': 8}
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id: 167757899
{'hecke_orbit_code': 157625986991558784, 'n': 58, 'trace_an': 0}
-
id: 167757900
{'hecke_orbit_code': 157625986991558784, 'n': 59, 'trace_an': -16}
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id: 167757901
{'hecke_orbit_code': 157625986991558784, 'n': 60, 'trace_an': 0}
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id: 167757902
{'hecke_orbit_code': 157625986991558784, 'n': 61, 'trace_an': 2}
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id: 167757903
{'hecke_orbit_code': 157625986991558784, 'n': 62, 'trace_an': 0}
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id: 167757904
{'hecke_orbit_code': 157625986991558784, 'n': 63, 'trace_an': 4}
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id: 167757905
{'hecke_orbit_code': 157625986991558784, 'n': 64, 'trace_an': 0}
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id: 167757906
{'hecke_orbit_code': 157625986991558784, 'n': 65, 'trace_an': 8}
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id: 167757907
{'hecke_orbit_code': 157625986991558784, 'n': 66, 'trace_an': 0}
-
id: 167757908
{'hecke_orbit_code': 157625986991558784, 'n': 67, 'trace_an': 6}
-
id: 167757909
{'hecke_orbit_code': 157625986991558784, 'n': 68, 'trace_an': 0}
-
id: 167757910
{'hecke_orbit_code': 157625986991558784, 'n': 69, 'trace_an': 22}
-
id: 167757911
{'hecke_orbit_code': 157625986991558784, 'n': 70, 'trace_an': 0}
-
id: 167757912
{'hecke_orbit_code': 157625986991558784, 'n': 71, 'trace_an': 6}
-
id: 167757913
{'hecke_orbit_code': 157625986991558784, 'n': 72, 'trace_an': 0}
-
id: 167757914
{'hecke_orbit_code': 157625986991558784, 'n': 73, 'trace_an': 2}
-
id: 167757915
{'hecke_orbit_code': 157625986991558784, 'n': 74, 'trace_an': 0}
-
id: 167757916
{'hecke_orbit_code': 157625986991558784, 'n': 75, 'trace_an': 16}
-
id: 167757917
{'hecke_orbit_code': 157625986991558784, 'n': 76, 'trace_an': 0}
-
id: 167757918
{'hecke_orbit_code': 157625986991558784, 'n': 77, 'trace_an': 6}
-
id: 167757919
{'hecke_orbit_code': 157625986991558784, 'n': 78, 'trace_an': 0}
-
id: 167757920
{'hecke_orbit_code': 157625986991558784, 'n': 79, 'trace_an': 24}
-
id: 167757921
{'hecke_orbit_code': 157625986991558784, 'n': 80, 'trace_an': 0}
-
id: 167757922
{'hecke_orbit_code': 157625986991558784, 'n': 81, 'trace_an': -13}
-
id: 167757923
{'hecke_orbit_code': 157625986991558784, 'n': 82, 'trace_an': 0}
-
id: 167757924
{'hecke_orbit_code': 157625986991558784, 'n': 83, 'trace_an': -8}
-
id: 167757925
{'hecke_orbit_code': 157625986991558784, 'n': 84, 'trace_an': 0}
-
id: 167757926
{'hecke_orbit_code': 157625986991558784, 'n': 85, 'trace_an': 0}
-
id: 167757927
{'hecke_orbit_code': 157625986991558784, 'n': 86, 'trace_an': 0}
-
id: 167757928
{'hecke_orbit_code': 157625986991558784, 'n': 87, 'trace_an': 14}
-
id: 167757929
{'hecke_orbit_code': 157625986991558784, 'n': 88, 'trace_an': 0}
-
id: 167757930
{'hecke_orbit_code': 157625986991558784, 'n': 89, 'trace_an': -2}
-
id: 167757931
{'hecke_orbit_code': 157625986991558784, 'n': 90, 'trace_an': 0}
-
id: 167757932
{'hecke_orbit_code': 157625986991558784, 'n': 91, 'trace_an': -2}
-
id: 167757933
{'hecke_orbit_code': 157625986991558784, 'n': 92, 'trace_an': 0}
-
id: 167757934
{'hecke_orbit_code': 157625986991558784, 'n': 93, 'trace_an': 10}
-
id: 167757935
{'hecke_orbit_code': 157625986991558784, 'n': 94, 'trace_an': 0}
-
id: 167757936
{'hecke_orbit_code': 157625986991558784, 'n': 95, 'trace_an': 20}
-
id: 167757937
{'hecke_orbit_code': 157625986991558784, 'n': 96, 'trace_an': 0}
-
id: 167757938
{'hecke_orbit_code': 157625986991558784, 'n': 97, 'trace_an': -6}
-
id: 167757939
{'hecke_orbit_code': 157625986991558784, 'n': 98, 'trace_an': 0}
-
id: 167757940
{'hecke_orbit_code': 157625986991558784, 'n': 99, 'trace_an': -8}
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id: 167757941
{'hecke_orbit_code': 157625986991558784, 'n': 100, 'trace_an': 0}