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mf_newforms • Show schema
Hide schema
{'Nk2': 43776, 'analytic_conductor': 87.38827997208925, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [19, 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': [10944, 1, [9919, 2053, 1217, 9217], [46, 46, 46, 46]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 46, 'hecke_orbit_code': 202661983265237696, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, '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': '10944.2.a.bt', 'level': 10944, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-3q^{7}+3q^{11}+6q^{13}-3q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/10944/bt'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10944.2.a', 'trace_display': [0, 0, 1, -3], 'traces': [1, 0, 0, 0, 1, 0, -3, 0, 0, 0, 3, 0, 6, 0, 0, 0, -3, 0, -1, 0, 0, 0, 4, 0, -4, 0, 0, 0, -10, 0, -2, 0, 0, 0, -3, 0, -8, 0, 0, 0, 8, 0, -1, 0, 0, 0, 3, 0, 2, 0, 0, 0, -6, 0, 3, 0, 0, 0, 0, 0, -7, 0, 0, 0, 6, 0, 8, 0, 0, 0, 12, 0, -11, 0, 0, 0, -9, 0, 0, 0, 0, 0, -4, 0, -3, 0, 0, 0, -10, 0, -18, 0, 0, 0, -1, 0, -2, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 10944.2.a.bt does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [16, 22, 28, 25, 20, 14, 26, 29], 'Nk2': 43776, 'analytic_conductor': 87.38827997208925, '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': [10944, 1, [9919, 2053, 1217, 9217], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1873, 'dim': 180, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33565376, 'label': '10944.2.a', 'level': 10944, '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, 19], 'level_radical': 114, 'mf_dim': 1968, 'mf_new_dim': 180, 'plus_dim': 81, 'prim_orbit_index': 1, 'relative_dim': 180, 'sturm_bound': 3840, 'trace_display': [0, 0, 0, 0], 'traces': [180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 244, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 308, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 404, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10944.2.a.bt does not appear in mf_twists_nf
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hecke_orbit_code 202661983265237696 does not appear in mf_hecke_charpolys
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label 10944.2.a.bt does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 171546142
{'hecke_orbit_code': 202661983265237696, 'n': 1, 'trace_an': 1}
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id: 171546143
{'hecke_orbit_code': 202661983265237696, 'n': 2, 'trace_an': 0}
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id: 171546144
{'hecke_orbit_code': 202661983265237696, 'n': 3, 'trace_an': 0}
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id: 171546145
{'hecke_orbit_code': 202661983265237696, 'n': 4, 'trace_an': 0}
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id: 171546146
{'hecke_orbit_code': 202661983265237696, 'n': 5, 'trace_an': 1}
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id: 171546147
{'hecke_orbit_code': 202661983265237696, 'n': 6, 'trace_an': 0}
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id: 171546148
{'hecke_orbit_code': 202661983265237696, 'n': 7, 'trace_an': -3}
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id: 171546149
{'hecke_orbit_code': 202661983265237696, 'n': 8, 'trace_an': 0}
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id: 171546150
{'hecke_orbit_code': 202661983265237696, 'n': 9, 'trace_an': 0}
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id: 171546151
{'hecke_orbit_code': 202661983265237696, 'n': 10, 'trace_an': 0}
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id: 171546152
{'hecke_orbit_code': 202661983265237696, 'n': 11, 'trace_an': 3}
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id: 171546153
{'hecke_orbit_code': 202661983265237696, 'n': 12, 'trace_an': 0}
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id: 171546154
{'hecke_orbit_code': 202661983265237696, 'n': 13, 'trace_an': 6}
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id: 171546155
{'hecke_orbit_code': 202661983265237696, 'n': 14, 'trace_an': 0}
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id: 171546156
{'hecke_orbit_code': 202661983265237696, 'n': 15, 'trace_an': 0}
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id: 171546157
{'hecke_orbit_code': 202661983265237696, 'n': 16, 'trace_an': 0}
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id: 171546158
{'hecke_orbit_code': 202661983265237696, 'n': 17, 'trace_an': -3}
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id: 171546159
{'hecke_orbit_code': 202661983265237696, 'n': 18, 'trace_an': 0}
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id: 171546160
{'hecke_orbit_code': 202661983265237696, 'n': 19, 'trace_an': -1}
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id: 171546161
{'hecke_orbit_code': 202661983265237696, 'n': 20, 'trace_an': 0}
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id: 171546162
{'hecke_orbit_code': 202661983265237696, 'n': 21, 'trace_an': 0}
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id: 171546163
{'hecke_orbit_code': 202661983265237696, 'n': 22, 'trace_an': 0}
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id: 171546164
{'hecke_orbit_code': 202661983265237696, 'n': 23, 'trace_an': 4}
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id: 171546165
{'hecke_orbit_code': 202661983265237696, 'n': 24, 'trace_an': 0}
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id: 171546166
{'hecke_orbit_code': 202661983265237696, 'n': 25, 'trace_an': -4}
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id: 171546167
{'hecke_orbit_code': 202661983265237696, 'n': 26, 'trace_an': 0}
-
id: 171546168
{'hecke_orbit_code': 202661983265237696, 'n': 27, 'trace_an': 0}
-
id: 171546169
{'hecke_orbit_code': 202661983265237696, 'n': 28, 'trace_an': 0}
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id: 171546170
{'hecke_orbit_code': 202661983265237696, 'n': 29, 'trace_an': -10}
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id: 171546171
{'hecke_orbit_code': 202661983265237696, 'n': 30, 'trace_an': 0}
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id: 171546172
{'hecke_orbit_code': 202661983265237696, 'n': 31, 'trace_an': -2}
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id: 171546173
{'hecke_orbit_code': 202661983265237696, 'n': 32, 'trace_an': 0}
-
id: 171546174
{'hecke_orbit_code': 202661983265237696, 'n': 33, 'trace_an': 0}
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id: 171546175
{'hecke_orbit_code': 202661983265237696, 'n': 34, 'trace_an': 0}
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id: 171546176
{'hecke_orbit_code': 202661983265237696, 'n': 35, 'trace_an': -3}
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id: 171546177
{'hecke_orbit_code': 202661983265237696, 'n': 36, 'trace_an': 0}
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id: 171546178
{'hecke_orbit_code': 202661983265237696, 'n': 37, 'trace_an': -8}
-
id: 171546179
{'hecke_orbit_code': 202661983265237696, 'n': 38, 'trace_an': 0}
-
id: 171546180
{'hecke_orbit_code': 202661983265237696, 'n': 39, 'trace_an': 0}
-
id: 171546181
{'hecke_orbit_code': 202661983265237696, 'n': 40, 'trace_an': 0}
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id: 171546182
{'hecke_orbit_code': 202661983265237696, 'n': 41, 'trace_an': 8}
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id: 171546183
{'hecke_orbit_code': 202661983265237696, 'n': 42, 'trace_an': 0}
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id: 171546184
{'hecke_orbit_code': 202661983265237696, 'n': 43, 'trace_an': -1}
-
id: 171546185
{'hecke_orbit_code': 202661983265237696, 'n': 44, 'trace_an': 0}
-
id: 171546186
{'hecke_orbit_code': 202661983265237696, 'n': 45, 'trace_an': 0}
-
id: 171546187
{'hecke_orbit_code': 202661983265237696, 'n': 46, 'trace_an': 0}
-
id: 171546188
{'hecke_orbit_code': 202661983265237696, 'n': 47, 'trace_an': 3}
-
id: 171546189
{'hecke_orbit_code': 202661983265237696, 'n': 48, 'trace_an': 0}
-
id: 171546190
{'hecke_orbit_code': 202661983265237696, 'n': 49, 'trace_an': 2}
-
id: 171546191
{'hecke_orbit_code': 202661983265237696, 'n': 50, 'trace_an': 0}
-
id: 171546192
{'hecke_orbit_code': 202661983265237696, 'n': 51, 'trace_an': 0}
-
id: 171546193
{'hecke_orbit_code': 202661983265237696, 'n': 52, 'trace_an': 0}
-
id: 171546194
{'hecke_orbit_code': 202661983265237696, 'n': 53, 'trace_an': -6}
-
id: 171546195
{'hecke_orbit_code': 202661983265237696, 'n': 54, 'trace_an': 0}
-
id: 171546196
{'hecke_orbit_code': 202661983265237696, 'n': 55, 'trace_an': 3}
-
id: 171546197
{'hecke_orbit_code': 202661983265237696, 'n': 56, 'trace_an': 0}
-
id: 171546198
{'hecke_orbit_code': 202661983265237696, 'n': 57, 'trace_an': 0}
-
id: 171546199
{'hecke_orbit_code': 202661983265237696, 'n': 58, 'trace_an': 0}
-
id: 171546200
{'hecke_orbit_code': 202661983265237696, 'n': 59, 'trace_an': 0}
-
id: 171546201
{'hecke_orbit_code': 202661983265237696, 'n': 60, 'trace_an': 0}
-
id: 171546202
{'hecke_orbit_code': 202661983265237696, 'n': 61, 'trace_an': -7}
-
id: 171546203
{'hecke_orbit_code': 202661983265237696, 'n': 62, 'trace_an': 0}
-
id: 171546204
{'hecke_orbit_code': 202661983265237696, 'n': 63, 'trace_an': 0}
-
id: 171546205
{'hecke_orbit_code': 202661983265237696, 'n': 64, 'trace_an': 0}
-
id: 171546206
{'hecke_orbit_code': 202661983265237696, 'n': 65, 'trace_an': 6}
-
id: 171546207
{'hecke_orbit_code': 202661983265237696, 'n': 66, 'trace_an': 0}
-
id: 171546208
{'hecke_orbit_code': 202661983265237696, 'n': 67, 'trace_an': 8}
-
id: 171546209
{'hecke_orbit_code': 202661983265237696, 'n': 68, 'trace_an': 0}
-
id: 171546210
{'hecke_orbit_code': 202661983265237696, 'n': 69, 'trace_an': 0}
-
id: 171546211
{'hecke_orbit_code': 202661983265237696, 'n': 70, 'trace_an': 0}
-
id: 171546212
{'hecke_orbit_code': 202661983265237696, 'n': 71, 'trace_an': 12}
-
id: 171546213
{'hecke_orbit_code': 202661983265237696, 'n': 72, 'trace_an': 0}
-
id: 171546214
{'hecke_orbit_code': 202661983265237696, 'n': 73, 'trace_an': -11}
-
id: 171546215
{'hecke_orbit_code': 202661983265237696, 'n': 74, 'trace_an': 0}
-
id: 171546216
{'hecke_orbit_code': 202661983265237696, 'n': 75, 'trace_an': 0}
-
id: 171546217
{'hecke_orbit_code': 202661983265237696, 'n': 76, 'trace_an': 0}
-
id: 171546218
{'hecke_orbit_code': 202661983265237696, 'n': 77, 'trace_an': -9}
-
id: 171546219
{'hecke_orbit_code': 202661983265237696, 'n': 78, 'trace_an': 0}
-
id: 171546220
{'hecke_orbit_code': 202661983265237696, 'n': 79, 'trace_an': 0}
-
id: 171546221
{'hecke_orbit_code': 202661983265237696, 'n': 80, 'trace_an': 0}
-
id: 171546222
{'hecke_orbit_code': 202661983265237696, 'n': 81, 'trace_an': 0}
-
id: 171546223
{'hecke_orbit_code': 202661983265237696, 'n': 82, 'trace_an': 0}
-
id: 171546224
{'hecke_orbit_code': 202661983265237696, 'n': 83, 'trace_an': -4}
-
id: 171546225
{'hecke_orbit_code': 202661983265237696, 'n': 84, 'trace_an': 0}
-
id: 171546226
{'hecke_orbit_code': 202661983265237696, 'n': 85, 'trace_an': -3}
-
id: 171546227
{'hecke_orbit_code': 202661983265237696, 'n': 86, 'trace_an': 0}
-
id: 171546228
{'hecke_orbit_code': 202661983265237696, 'n': 87, 'trace_an': 0}
-
id: 171546229
{'hecke_orbit_code': 202661983265237696, 'n': 88, 'trace_an': 0}
-
id: 171546230
{'hecke_orbit_code': 202661983265237696, 'n': 89, 'trace_an': -10}
-
id: 171546231
{'hecke_orbit_code': 202661983265237696, 'n': 90, 'trace_an': 0}
-
id: 171546232
{'hecke_orbit_code': 202661983265237696, 'n': 91, 'trace_an': -18}
-
id: 171546233
{'hecke_orbit_code': 202661983265237696, 'n': 92, 'trace_an': 0}
-
id: 171546234
{'hecke_orbit_code': 202661983265237696, 'n': 93, 'trace_an': 0}
-
id: 171546235
{'hecke_orbit_code': 202661983265237696, 'n': 94, 'trace_an': 0}
-
id: 171546236
{'hecke_orbit_code': 202661983265237696, 'n': 95, 'trace_an': -1}
-
id: 171546237
{'hecke_orbit_code': 202661983265237696, 'n': 96, 'trace_an': 0}
-
id: 171546238
{'hecke_orbit_code': 202661983265237696, 'n': 97, 'trace_an': -2}
-
id: 171546239
{'hecke_orbit_code': 202661983265237696, 'n': 98, 'trace_an': 0}
-
id: 171546240
{'hecke_orbit_code': 202661983265237696, 'n': 99, 'trace_an': 0}
-
id: 171546241
{'hecke_orbit_code': 202661983265237696, 'n': 100, 'trace_an': 0}