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mf_newforms • Show schema
Hide schema
{'Nk2': 41472, 'analytic_conductor': 82.7888968156635, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [10368, 1, [2431, 5509, 6401], [55, 55, 55]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 6, 'field_disc_factorization': [[2, 1], [3, 1]], 'field_poly': [-6, 12, 39, 6, -14, -2, 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': 55, 'hecke_orbit_code': 243194379911571584, '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': '10368.2.a.cc', 'level': 10368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'nf_label': '6.6.592838784.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10368.2.a', 'trace_display': [0, 0, -2, 6], 'traces': [6, 0, 0, 0, -2, 0, 6, 0, 0, 0, -4, 0, -10, 0, 0, 0, -2, 0, -2, 0, 0, 0, -8, 0, 14, 0, 0, 0, -2, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 14, 0, 18, 0, 0, 0, -12, 0, 8, 0, 0, 0, -6, 0, -14, 0, 0, 0, -8, 0, 4, 0, 0, 0, -14, 0, 30, 0, 0, 0, 2, 0, 16, 0, 0, 0, -24, 0, -16, 0, 0, 0, 24, 0, 26, 0, 0, 0, 20, 0, 14, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 10368.2.a.cc does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [46, 50, 50, 46], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48], 'ALdims_old': [355, 362, 366, 358], 'Nk2': 41472, 'analytic_conductor': 82.7888968156635, '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': [10368, 1, [2431, 5509, 6401], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 192, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33564800, '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, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'label': '10368.2.a', 'level': 10368, '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], 'level_radical': 6, 'mf_dim': 1824, 'mf_new_dim': 192, 'num_forms': 64, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 3456, 'trace_display': [0, 0, 0, 0], 'traces': [192, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 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 10368.2.a.cc does not appear in mf_twists_nf
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hecke_orbit_code 243194379911571584 does not appear in mf_hecke_charpolys
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label 10368.2.a.cc does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 174347142
{'hecke_orbit_code': 243194379911571584, 'n': 1, 'trace_an': 6}
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id: 174347143
{'hecke_orbit_code': 243194379911571584, 'n': 2, 'trace_an': 0}
-
id: 174347144
{'hecke_orbit_code': 243194379911571584, 'n': 3, 'trace_an': 0}
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id: 174347145
{'hecke_orbit_code': 243194379911571584, 'n': 4, 'trace_an': 0}
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id: 174347146
{'hecke_orbit_code': 243194379911571584, 'n': 5, 'trace_an': -2}
-
id: 174347147
{'hecke_orbit_code': 243194379911571584, 'n': 6, 'trace_an': 0}
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id: 174347148
{'hecke_orbit_code': 243194379911571584, 'n': 7, 'trace_an': 6}
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id: 174347149
{'hecke_orbit_code': 243194379911571584, 'n': 8, 'trace_an': 0}
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id: 174347150
{'hecke_orbit_code': 243194379911571584, 'n': 9, 'trace_an': 0}
-
id: 174347151
{'hecke_orbit_code': 243194379911571584, 'n': 10, 'trace_an': 0}
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id: 174347152
{'hecke_orbit_code': 243194379911571584, 'n': 11, 'trace_an': -4}
-
id: 174347153
{'hecke_orbit_code': 243194379911571584, 'n': 12, 'trace_an': 0}
-
id: 174347154
{'hecke_orbit_code': 243194379911571584, 'n': 13, 'trace_an': -10}
-
id: 174347155
{'hecke_orbit_code': 243194379911571584, 'n': 14, 'trace_an': 0}
-
id: 174347156
{'hecke_orbit_code': 243194379911571584, 'n': 15, 'trace_an': 0}
-
id: 174347157
{'hecke_orbit_code': 243194379911571584, 'n': 16, 'trace_an': 0}
-
id: 174347158
{'hecke_orbit_code': 243194379911571584, 'n': 17, 'trace_an': -2}
-
id: 174347159
{'hecke_orbit_code': 243194379911571584, 'n': 18, 'trace_an': 0}
-
id: 174347160
{'hecke_orbit_code': 243194379911571584, 'n': 19, 'trace_an': -2}
-
id: 174347161
{'hecke_orbit_code': 243194379911571584, 'n': 20, 'trace_an': 0}
-
id: 174347162
{'hecke_orbit_code': 243194379911571584, 'n': 21, 'trace_an': 0}
-
id: 174347163
{'hecke_orbit_code': 243194379911571584, 'n': 22, 'trace_an': 0}
-
id: 174347164
{'hecke_orbit_code': 243194379911571584, 'n': 23, 'trace_an': -8}
-
id: 174347165
{'hecke_orbit_code': 243194379911571584, 'n': 24, 'trace_an': 0}
-
id: 174347166
{'hecke_orbit_code': 243194379911571584, 'n': 25, 'trace_an': 14}
-
id: 174347167
{'hecke_orbit_code': 243194379911571584, 'n': 26, 'trace_an': 0}
-
id: 174347168
{'hecke_orbit_code': 243194379911571584, 'n': 27, 'trace_an': 0}
-
id: 174347169
{'hecke_orbit_code': 243194379911571584, 'n': 28, 'trace_an': 0}
-
id: 174347170
{'hecke_orbit_code': 243194379911571584, 'n': 29, 'trace_an': -2}
-
id: 174347171
{'hecke_orbit_code': 243194379911571584, 'n': 30, 'trace_an': 0}
-
id: 174347172
{'hecke_orbit_code': 243194379911571584, 'n': 31, 'trace_an': 8}
-
id: 174347173
{'hecke_orbit_code': 243194379911571584, 'n': 32, 'trace_an': 0}
-
id: 174347174
{'hecke_orbit_code': 243194379911571584, 'n': 33, 'trace_an': 0}
-
id: 174347175
{'hecke_orbit_code': 243194379911571584, 'n': 34, 'trace_an': 0}
-
id: 174347176
{'hecke_orbit_code': 243194379911571584, 'n': 35, 'trace_an': 4}
-
id: 174347177
{'hecke_orbit_code': 243194379911571584, 'n': 36, 'trace_an': 0}
-
id: 174347178
{'hecke_orbit_code': 243194379911571584, 'n': 37, 'trace_an': 0}
-
id: 174347179
{'hecke_orbit_code': 243194379911571584, 'n': 38, 'trace_an': 0}
-
id: 174347180
{'hecke_orbit_code': 243194379911571584, 'n': 39, 'trace_an': 0}
-
id: 174347181
{'hecke_orbit_code': 243194379911571584, 'n': 40, 'trace_an': 0}
-
id: 174347182
{'hecke_orbit_code': 243194379911571584, 'n': 41, 'trace_an': -2}
-
id: 174347183
{'hecke_orbit_code': 243194379911571584, 'n': 42, 'trace_an': 0}
-
id: 174347184
{'hecke_orbit_code': 243194379911571584, 'n': 43, 'trace_an': -2}
-
id: 174347185
{'hecke_orbit_code': 243194379911571584, 'n': 44, 'trace_an': 0}
-
id: 174347186
{'hecke_orbit_code': 243194379911571584, 'n': 45, 'trace_an': 0}
-
id: 174347187
{'hecke_orbit_code': 243194379911571584, 'n': 46, 'trace_an': 0}
-
id: 174347188
{'hecke_orbit_code': 243194379911571584, 'n': 47, 'trace_an': 14}
-
id: 174347189
{'hecke_orbit_code': 243194379911571584, 'n': 48, 'trace_an': 0}
-
id: 174347190
{'hecke_orbit_code': 243194379911571584, 'n': 49, 'trace_an': 18}
-
id: 174347191
{'hecke_orbit_code': 243194379911571584, 'n': 50, 'trace_an': 0}
-
id: 174347192
{'hecke_orbit_code': 243194379911571584, 'n': 51, 'trace_an': 0}
-
id: 174347193
{'hecke_orbit_code': 243194379911571584, 'n': 52, 'trace_an': 0}
-
id: 174347194
{'hecke_orbit_code': 243194379911571584, 'n': 53, 'trace_an': -12}
-
id: 174347195
{'hecke_orbit_code': 243194379911571584, 'n': 54, 'trace_an': 0}
-
id: 174347196
{'hecke_orbit_code': 243194379911571584, 'n': 55, 'trace_an': 8}
-
id: 174347197
{'hecke_orbit_code': 243194379911571584, 'n': 56, 'trace_an': 0}
-
id: 174347198
{'hecke_orbit_code': 243194379911571584, 'n': 57, 'trace_an': 0}
-
id: 174347199
{'hecke_orbit_code': 243194379911571584, 'n': 58, 'trace_an': 0}
-
id: 174347200
{'hecke_orbit_code': 243194379911571584, 'n': 59, 'trace_an': -6}
-
id: 174347201
{'hecke_orbit_code': 243194379911571584, 'n': 60, 'trace_an': 0}
-
id: 174347202
{'hecke_orbit_code': 243194379911571584, 'n': 61, 'trace_an': -14}
-
id: 174347203
{'hecke_orbit_code': 243194379911571584, 'n': 62, 'trace_an': 0}
-
id: 174347204
{'hecke_orbit_code': 243194379911571584, 'n': 63, 'trace_an': 0}
-
id: 174347205
{'hecke_orbit_code': 243194379911571584, 'n': 64, 'trace_an': 0}
-
id: 174347206
{'hecke_orbit_code': 243194379911571584, 'n': 65, 'trace_an': -8}
-
id: 174347207
{'hecke_orbit_code': 243194379911571584, 'n': 66, 'trace_an': 0}
-
id: 174347208
{'hecke_orbit_code': 243194379911571584, 'n': 67, 'trace_an': 4}
-
id: 174347209
{'hecke_orbit_code': 243194379911571584, 'n': 68, 'trace_an': 0}
-
id: 174347210
{'hecke_orbit_code': 243194379911571584, 'n': 69, 'trace_an': 0}
-
id: 174347211
{'hecke_orbit_code': 243194379911571584, 'n': 70, 'trace_an': 0}
-
id: 174347212
{'hecke_orbit_code': 243194379911571584, 'n': 71, 'trace_an': -14}
-
id: 174347213
{'hecke_orbit_code': 243194379911571584, 'n': 72, 'trace_an': 0}
-
id: 174347214
{'hecke_orbit_code': 243194379911571584, 'n': 73, 'trace_an': 30}
-
id: 174347215
{'hecke_orbit_code': 243194379911571584, 'n': 74, 'trace_an': 0}
-
id: 174347216
{'hecke_orbit_code': 243194379911571584, 'n': 75, 'trace_an': 0}
-
id: 174347217
{'hecke_orbit_code': 243194379911571584, 'n': 76, 'trace_an': 0}
-
id: 174347218
{'hecke_orbit_code': 243194379911571584, 'n': 77, 'trace_an': 2}
-
id: 174347219
{'hecke_orbit_code': 243194379911571584, 'n': 78, 'trace_an': 0}
-
id: 174347220
{'hecke_orbit_code': 243194379911571584, 'n': 79, 'trace_an': 16}
-
id: 174347221
{'hecke_orbit_code': 243194379911571584, 'n': 80, 'trace_an': 0}
-
id: 174347222
{'hecke_orbit_code': 243194379911571584, 'n': 81, 'trace_an': 0}
-
id: 174347223
{'hecke_orbit_code': 243194379911571584, 'n': 82, 'trace_an': 0}
-
id: 174347224
{'hecke_orbit_code': 243194379911571584, 'n': 83, 'trace_an': -24}
-
id: 174347225
{'hecke_orbit_code': 243194379911571584, 'n': 84, 'trace_an': 0}
-
id: 174347226
{'hecke_orbit_code': 243194379911571584, 'n': 85, 'trace_an': -16}
-
id: 174347227
{'hecke_orbit_code': 243194379911571584, 'n': 86, 'trace_an': 0}
-
id: 174347228
{'hecke_orbit_code': 243194379911571584, 'n': 87, 'trace_an': 0}
-
id: 174347229
{'hecke_orbit_code': 243194379911571584, 'n': 88, 'trace_an': 0}
-
id: 174347230
{'hecke_orbit_code': 243194379911571584, 'n': 89, 'trace_an': 24}
-
id: 174347231
{'hecke_orbit_code': 243194379911571584, 'n': 90, 'trace_an': 0}
-
id: 174347232
{'hecke_orbit_code': 243194379911571584, 'n': 91, 'trace_an': 26}
-
id: 174347233
{'hecke_orbit_code': 243194379911571584, 'n': 92, 'trace_an': 0}
-
id: 174347234
{'hecke_orbit_code': 243194379911571584, 'n': 93, 'trace_an': 0}
-
id: 174347235
{'hecke_orbit_code': 243194379911571584, 'n': 94, 'trace_an': 0}
-
id: 174347236
{'hecke_orbit_code': 243194379911571584, 'n': 95, 'trace_an': 20}
-
id: 174347237
{'hecke_orbit_code': 243194379911571584, 'n': 96, 'trace_an': 0}
-
id: 174347238
{'hecke_orbit_code': 243194379911571584, 'n': 97, 'trace_an': 14}
-
id: 174347239
{'hecke_orbit_code': 243194379911571584, 'n': 98, 'trace_an': 0}
-
id: 174347240
{'hecke_orbit_code': 243194379911571584, 'n': 99, 'trace_an': 0}
-
id: 174347241
{'hecke_orbit_code': 243194379911571584, 'n': 100, 'trace_an': 0}