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mf_newforms • Show schema
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{'Nk2': 6144, 'analytic_conductor': 12.265021750468668, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1536, 2, [511, 517, 1025], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 769, 'conrey_indexes': [769], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [2, 0, 1]], [7, [-18, 0, 1]], [23, [-8, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405446727168, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 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mf_hecke_nf • Show schema
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[-68, 0, 0, 0], [0, 0, 17, 0], [0, 0, 0, 63]], 'char_orbit_index': 4, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 9007405446727168, 'hecke_ring_character_values': [[511, [1, 0, 0, 0]], [517, [-1, 0, 0, 0]], [1025, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 1, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1536.2.d.c', 'level': 1536, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 6144, 'analytic_conductor': 12.265021750468668, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1536, 2, [511, 517, 1025], [2, 1, 2]], 'conrey_index': 769, 'cusp_dim': 224, 'dim': 32, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 23], 'hecke_orbit_code': 206191986176, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 8], 'label': '1536.2.d', 'level': 1536, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 288, 'mf_new_dim': 32, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 32, 'sturm_bound': 512, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, -256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 754175
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1536.2.a.d', 'target_level': 1536, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 754176
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1536.2.a.d', 'target_level': 1536, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 754177
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1536.2.a.i', 'target_level': 1536, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 754178
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1536.2.a.i', 'target_level': 1536, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 754179
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1536.2.d.c', 'target_level': 1536, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 754180
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1536.2.d.c', 'target_level': 1536, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 754181
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1536.2.d.c', 'target_level': 1536, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 754182
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1536.2.d.c', 'target_level': 1536, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 754183
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4608.2.a.g', 'target_level': 4608, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 754184
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4608.2.a.g', 'target_level': 4608, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 754185
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4608.2.a.l', 'target_level': 4608, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 754186
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4608.2.a.l', 'target_level': 4608, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 754187
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4608.2.d.n', 'target_level': 4608, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 754188
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4608.2.d.n', 'target_level': 4608, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 754189
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4608.2.d.n', 'target_level': 4608, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 754190
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1536.2.d.c', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4608.2.d.n', 'target_level': 4608, 'twist_class_label': '1536.2.a.d', 'twist_class_level': 1536, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2020300
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007405446727168, 'p': 2}
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id: 2020301
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 3}
-
id: 2020302
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 5}
-
id: 2020303
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 7}
-
id: 2020304
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 11}
-
id: 2020305
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 13}
-
id: 2020306
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 9007405446727168, 'p': 17}
-
id: 2020307
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 19}
-
id: 2020308
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 23}
-
id: 2020309
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 29}
-
id: 2020310
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 31}
-
id: 2020311
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 37}
-
id: 2020312
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 9007405446727168, 'p': 41}
-
id: 2020313
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007405446727168, 'p': 43}
-
id: 2020314
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 47}
-
id: 2020315
{'charpoly_factorization': [[[98, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 53}
-
id: 2020316
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 59}
-
id: 2020317
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 61}
-
id: 2020318
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 67}
-
id: 2020319
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 71}
-
id: 2020320
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 9007405446727168, 'p': 73}
-
id: 2020321
{'charpoly_factorization': [[[-162, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 79}
-
id: 2020322
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 9007405446727168, 'p': 83}
-
id: 2020323
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 9007405446727168, 'p': 89}
-
id: 2020324
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 9007405446727168, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 3, 'label': '1536.2.d.c', 'level': 1536, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 117094000
{'hecke_orbit_code': 9007405446727168, 'n': 1, 'trace_an': 4}
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id: 117094001
{'hecke_orbit_code': 9007405446727168, 'n': 2, 'trace_an': 0}
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id: 117094002
{'hecke_orbit_code': 9007405446727168, 'n': 3, 'trace_an': 0}
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id: 117094003
{'hecke_orbit_code': 9007405446727168, 'n': 4, 'trace_an': 0}
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id: 117094004
{'hecke_orbit_code': 9007405446727168, 'n': 5, 'trace_an': 0}
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id: 117094005
{'hecke_orbit_code': 9007405446727168, 'n': 6, 'trace_an': 0}
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id: 117094006
{'hecke_orbit_code': 9007405446727168, 'n': 7, 'trace_an': 0}
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id: 117094007
{'hecke_orbit_code': 9007405446727168, 'n': 8, 'trace_an': 0}
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id: 117094008
{'hecke_orbit_code': 9007405446727168, 'n': 9, 'trace_an': -4}
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id: 117094009
{'hecke_orbit_code': 9007405446727168, 'n': 10, 'trace_an': 0}
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id: 117094010
{'hecke_orbit_code': 9007405446727168, 'n': 11, 'trace_an': 0}
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id: 117094011
{'hecke_orbit_code': 9007405446727168, 'n': 12, 'trace_an': 0}
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id: 117094012
{'hecke_orbit_code': 9007405446727168, 'n': 13, 'trace_an': 0}
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id: 117094013
{'hecke_orbit_code': 9007405446727168, 'n': 14, 'trace_an': 0}
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id: 117094014
{'hecke_orbit_code': 9007405446727168, 'n': 15, 'trace_an': 0}
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id: 117094015
{'hecke_orbit_code': 9007405446727168, 'n': 16, 'trace_an': 0}
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id: 117094016
{'hecke_orbit_code': 9007405446727168, 'n': 17, 'trace_an': -24}
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id: 117094017
{'hecke_orbit_code': 9007405446727168, 'n': 18, 'trace_an': 0}
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id: 117094018
{'hecke_orbit_code': 9007405446727168, 'n': 19, 'trace_an': 0}
-
id: 117094019
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