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mf_newforms • Show schema
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{'Nk2': 196, 'analytic_conductor': 0.3912669699042739, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 49, 'char_degree': 12, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 21, 'char_parity': 1, 'char_values': [49, 21, [3], [13]], 'cm_discs': [], 'conrey_index': 2, 'dim': 48, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 412350414897, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 49, 7, 1, 21, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '49.2.g.a', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '49.2.g.a', 'prim_orbit_index': 7, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 196, 'analytic_conductor': 0.3912669699042739, 'char_conductor': 49, 'char_degree': 12, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 21, 'char_parity': 1, 'char_values': [49, 21, [3], [13]], 'conrey_index': 2, 'cusp_dim': 48, 'dim': 48, 'eis_dim': 24, 'eis_new_dim': 24, 'hecke_cutter_primes': [], 'hecke_orbit_code': 412350414897, 'hecke_orbit_dims': [48], 'label': '49.2.g', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 72, 'mf_new_dim': 72, 'num_forms': 1, 'prim_orbit_index': 7, 'relative_dim': 4, 'sturm_bound': 9, 'trace_bound': 0, 'trace_display': [-13, -14, -14, -14], 'traces': [48, -13, -14, -9, -14, 0, -14, -20, 6, -14, -3, 21, -14, 21, -12, -3, -7, 2, 21, 14, -14, -20, 15, 28, -4, 0, 7, 28, 12, 11, 35, 45, -14, 70, 0, -12, 15, -28, -7, -42, -42, 28, 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mf_twists_cc • Show schema
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id: 3842701
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 9, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414897, 'target_is_minimal': True, 'target_label': '49.2.g.a.9.1', 'target_level': 49, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3842702
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 352, 'target_dim': 48, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512654341538233, 'target_is_minimal': False, 'target_label': '441.2.bb.d.352.4', 'target_level': 441, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3842703
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 401, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009398311551760, 'target_is_minimal': False, 'target_label': '784.2.bg.c.401.1', 'target_level': 784, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3842704
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 99, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573207, 'target_is_minimal': False, 'target_label': '343.2.e.d.99.1', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3842705
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 67, 'target_dim': 48, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525609742008663, 'target_is_minimal': False, 'target_label': '343.2.g.h.67.4', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3842706
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 67, 'target_dim': 48, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029209369379159, 'target_is_minimal': False, 'target_label': '343.2.g.i.67.4', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3842707
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 99, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202711, 'target_is_minimal': False, 'target_label': '343.2.e.c.99.1', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3842708
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 177, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638167, 'target_is_minimal': False, 'target_label': '343.2.g.g.177.1', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 3842709
{'conductor': 49, 'degree': 12, 'order': 21, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 246, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573207, 'target_is_minimal': False, 'target_label': '343.2.e.d.246.1', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '49.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3842710
{'conductor': 49, 'degree': 12, 'order': 21, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 11, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414897, 'target_is_minimal': True, 'target_label': '49.2.g.a.11.1', 'target_level': 49, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '49.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 3842711
{'conductor': 49, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 128, 'target_dim': 48, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525609742008663, 'target_is_minimal': False, 'target_label': '343.2.g.h.128.4', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '49.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 3842712
{'conductor': 49, 'degree': 12, 'order': 21, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 24, 'target_embedding_index': 22, 'target_hecke_orbit_code': 31525197425150305, 'target_is_minimal': False, 'target_label': '2401.2.a.h.1.22', 'target_level': 2401, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '49.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 3842713
{'conductor': 49, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 24, 'target_embedding_index': 22, 'target_hecke_orbit_code': 36028797052520801, 'target_is_minimal': False, 'target_label': '2401.2.a.i.1.22', 'target_level': 2401, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '49.33', 'twisting_conrey_index': 33, 'weight': 2}
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id: 3842714
{'conductor': 49, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 128, 'target_dim': 48, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029209369379159, 'target_is_minimal': False, 'target_label': '343.2.g.i.128.4', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '49.36', 'twisting_conrey_index': 36, 'weight': 2}
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id: 3842715
{'conductor': 49, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 312, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638167, 'target_is_minimal': False, 'target_label': '343.2.g.g.312.1', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '49.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 3842716
{'conductor': 49, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 246, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202711, 'target_is_minimal': False, 'target_label': '343.2.e.c.246.1', 'target_level': 343, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '49.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 3842717
{'conductor': 147, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 109, 'target_dim': 48, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512654341538233, 'target_is_minimal': False, 'target_label': '441.2.bb.d.109.4', 'target_level': 441, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '147.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 3842718
{'conductor': 196, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414897, 'source_is_minimal': True, 'source_label': '49.2.g.a.9.1', 'source_level': 49, 'target_conrey_index': 305, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009398311551760, 'target_is_minimal': False, 'target_label': '784.2.bg.c.305.1', 'target_level': 784, 'twist_class_label': '49.2.g.a.9.1', 'twist_class_level': 49, 'twisting_char_label': '196.11', 'twisting_conrey_index': 11, 'weight': 2}
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hecke_orbit_code 412350414897 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '49.2.g.a', 'level': 49, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8737752
{'hecke_orbit_code': 412350414897, 'n': 1, 'trace_an': 48}
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id: 8737753
{'hecke_orbit_code': 412350414897, 'n': 2, 'trace_an': -13}
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id: 8737754
{'hecke_orbit_code': 412350414897, 'n': 3, 'trace_an': -14}
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id: 8737755
{'hecke_orbit_code': 412350414897, 'n': 4, 'trace_an': -9}
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id: 8737756
{'hecke_orbit_code': 412350414897, 'n': 5, 'trace_an': -14}
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id: 8737757
{'hecke_orbit_code': 412350414897, 'n': 6, 'trace_an': 0}
-
id: 8737758
{'hecke_orbit_code': 412350414897, 'n': 7, 'trace_an': -14}
-
id: 8737759
{'hecke_orbit_code': 412350414897, 'n': 8, 'trace_an': -20}
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id: 8737760
{'hecke_orbit_code': 412350414897, 'n': 9, 'trace_an': 6}
-
id: 8737761
{'hecke_orbit_code': 412350414897, 'n': 10, 'trace_an': -14}
-
id: 8737762
{'hecke_orbit_code': 412350414897, 'n': 11, 'trace_an': -3}
-
id: 8737763
{'hecke_orbit_code': 412350414897, 'n': 12, 'trace_an': 21}
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id: 8737764
{'hecke_orbit_code': 412350414897, 'n': 13, 'trace_an': -14}
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id: 8737765
{'hecke_orbit_code': 412350414897, 'n': 14, 'trace_an': 21}
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id: 8737766
{'hecke_orbit_code': 412350414897, 'n': 15, 'trace_an': -12}
-
id: 8737767
{'hecke_orbit_code': 412350414897, 'n': 16, 'trace_an': -3}
-
id: 8737768
{'hecke_orbit_code': 412350414897, 'n': 17, 'trace_an': -7}
-
id: 8737769
{'hecke_orbit_code': 412350414897, 'n': 18, 'trace_an': 2}
-
id: 8737770
{'hecke_orbit_code': 412350414897, 'n': 19, 'trace_an': 21}
-
id: 8737771
{'hecke_orbit_code': 412350414897, 'n': 20, 'trace_an': 14}
-
id: 8737772
{'hecke_orbit_code': 412350414897, 'n': 21, 'trace_an': -14}
-
id: 8737773
{'hecke_orbit_code': 412350414897, 'n': 22, 'trace_an': -20}
-
id: 8737774
{'hecke_orbit_code': 412350414897, 'n': 23, 'trace_an': 15}
-
id: 8737775
{'hecke_orbit_code': 412350414897, 'n': 24, 'trace_an': 28}
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id: 8737776
{'hecke_orbit_code': 412350414897, 'n': 25, 'trace_an': -4}
-
id: 8737777
{'hecke_orbit_code': 412350414897, 'n': 26, 'trace_an': 0}
-
id: 8737778
{'hecke_orbit_code': 412350414897, 'n': 27, 'trace_an': 7}
-
id: 8737779
{'hecke_orbit_code': 412350414897, 'n': 28, 'trace_an': 28}
-
id: 8737780
{'hecke_orbit_code': 412350414897, 'n': 29, 'trace_an': 12}
-
id: 8737781
{'hecke_orbit_code': 412350414897, 'n': 30, 'trace_an': 11}
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id: 8737782
{'hecke_orbit_code': 412350414897, 'n': 31, 'trace_an': 35}
-
id: 8737783
{'hecke_orbit_code': 412350414897, 'n': 32, 'trace_an': 45}
-
id: 8737784
{'hecke_orbit_code': 412350414897, 'n': 33, 'trace_an': -14}
-
id: 8737785
{'hecke_orbit_code': 412350414897, 'n': 34, 'trace_an': 70}
-
id: 8737786
{'hecke_orbit_code': 412350414897, 'n': 35, 'trace_an': 0}
-
id: 8737787
{'hecke_orbit_code': 412350414897, 'n': 36, 'trace_an': -12}
-
id: 8737788
{'hecke_orbit_code': 412350414897, 'n': 37, 'trace_an': 15}
-
id: 8737789
{'hecke_orbit_code': 412350414897, 'n': 38, 'trace_an': -28}
-
id: 8737790
{'hecke_orbit_code': 412350414897, 'n': 39, 'trace_an': -7}
-
id: 8737791
{'hecke_orbit_code': 412350414897, 'n': 40, 'trace_an': -42}
-
id: 8737792
{'hecke_orbit_code': 412350414897, 'n': 41, 'trace_an': -42}
-
id: 8737793
{'hecke_orbit_code': 412350414897, 'n': 42, 'trace_an': 28}
-
id: 8737794
{'hecke_orbit_code': 412350414897, 'n': 43, 'trace_an': -30}
-
id: 8737795
{'hecke_orbit_code': 412350414897, 'n': 44, 'trace_an': -50}
-
id: 8737796
{'hecke_orbit_code': 412350414897, 'n': 45, 'trace_an': 7}
-
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{'hecke_orbit_code': 412350414897, 'n': 983, 'trace_an': -168}
-
id: 8738008
{'hecke_orbit_code': 412350414897, 'n': 991, 'trace_an': 221}
-
id: 8738009
{'hecke_orbit_code': 412350414897, 'n': 997, 'trace_an': 182}