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mf_newforms • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [961, 15, [3], [13]], 'cm_discs': [], 'conrey_index': 235, 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 2, 4, 3, 1]], [3, [1, 1, 0, -1, -1, -1, 0, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977786305, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 3, 1, 3, 0], [1, 1, 31, 4, 1, 5, 0], [1, 1, 31, 7, 1, 15, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '961.2.g.b', 'level': 961, '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': [31], 'level_radical': 31, 'minimal_twist': '31.2.d.a', 'nf_label': '8.0.1265625.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-1-\\zeta_{15}^{6})q^{2}-\\zeta_{15}^{7}q^{3}+(1-\\zeta_{15}^{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '961.2.g', 'trace_display': [-6, -1, 6, 3], 'trace_hash': 373961445029774956, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.185', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'char_conductor': 31, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [961, 15, [3], [13]], 'conrey_index': 235, 'cusp_dim': 536, 'dim': 504, 'eis_dim': 256, 'eis_new_dim': 224, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 412350415809, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 8, 8, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 24, 96, 128], 'label': '961.2.g', 'level': 961, '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': [31], 'level_radical': 31, 'mf_dim': 792, 'mf_new_dim': 728, 'num_forms': 23, 'prim_orbit_index': 7, 'relative_dim': 63, 'sturm_bound': 165, 'trace_bound': 7, 'trace_display': [6, 12, 3, -2], 'traces': [504, 6, 12, -86, 3, -11, -2, -23, 45, 5, 7, -5, 7, 9, -14, -38, 6, 3, -16, -34, 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mf_twists_cc • Show schema
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id: 35478166
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.547.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35478167
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.235.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35478168
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620353, 'target_is_minimal': False, 'target_label': '961.2.c.d.521.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35478169
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.816.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35478170
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 4, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984671, 'target_is_minimal': True, 'target_label': '31.2.d.a.4.1', 'target_level': 31, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35478171
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.844.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35478172
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.732.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35478173
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.846.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35478174
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 8, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984671, 'target_is_minimal': True, 'target_label': '31.2.d.a.8.1', 'target_level': 31, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 35478175
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838081, 'target_is_minimal': False, 'target_label': '961.2.d.f.388.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 35478176
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467585, 'target_is_minimal': False, 'target_label': '961.2.d.e.374.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35478177
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.338.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 35478178
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037377, 'target_is_minimal': False, 'target_label': '961.2.a.e.1.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35478179
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.448.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35478180
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620353, 'target_is_minimal': False, 'target_label': '961.2.c.d.439.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 35478181
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361345, 'target_is_minimal': False, 'target_label': '961.2.c.f.439.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 35478182
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.448.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 35478183
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666881, 'target_is_minimal': False, 'target_label': '961.2.a.d.1.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 35478184
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.338.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 35478185
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838081, 'target_is_minimal': False, 'target_label': '961.2.d.f.374.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35478186
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467585, 'target_is_minimal': False, 'target_label': '961.2.d.e.388.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 35478187
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356097, 'target_is_minimal': False, 'target_label': '961.2.d.b.628.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35478188
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.846.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35478189
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.732.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 35478190
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.844.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 35478191
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356097, 'target_is_minimal': False, 'target_label': '961.2.d.b.531.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 35478192
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.816.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 35478193
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361345, 'target_is_minimal': False, 'target_label': '961.2.c.f.521.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 35478194
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.235.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35478195
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.547.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 35478196
{'conductor': 93, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 190, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368599, 'target_is_minimal': False, 'target_label': '279.2.i.a.190.1', 'target_level': 279, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '93.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35478197
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170415561, 'target_is_minimal': False, 'target_label': '8649.2.a.f.1.2', 'target_level': 8649, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '93.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 35478198
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 163, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368599, 'target_is_minimal': False, 'target_label': '279.2.i.a.163.1', 'target_level': 279, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '93.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 35478199
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797786057, 'target_is_minimal': False, 'target_label': '8649.2.a.g.1.2', 'target_level': 8649, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '93.80', 'twisting_conrey_index': 80, 'weight': 2}
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id: 35478200
{'conductor': 124, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122992, 'target_is_minimal': False, 'target_label': '496.2.n.b.97.1', 'target_level': 496, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '124.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 35478201
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 225, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122992, 'target_is_minimal': False, 'target_label': '496.2.n.b.225.1', 'target_level': 496, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '124.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 35478202
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 101, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063559, 'target_is_minimal': False, 'target_label': '775.2.k.c.101.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 35478203
{'conductor': 155, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 624, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.624.2', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 35478204
{'conductor': 155, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 624, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.624.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.98', 'twisting_conrey_index': 98, 'weight': 2}
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id: 35478205
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.349.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.102', 'twisting_conrey_index': 102, 'weight': 2}
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id: 35478206
{'conductor': 155, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 376, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063559, 'target_is_minimal': False, 'target_label': '775.2.k.c.376.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.129', 'twisting_conrey_index': 129, 'weight': 2}
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id: 35478207
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 547, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977786305, 'source_is_minimal': False, 'source_label': '961.2.g.b.547.1', 'source_level': 961, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.349.2', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.133', 'twisting_conrey_index': 133, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1541300
{'charpoly_factorization': [[[1, 2, 4, 3, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 2}
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id: 1541301
{'charpoly_factorization': [[[1, 1, 0, -1, -1, -1, 0, 1, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 3}
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id: 1541302
{'charpoly_factorization': [[[1, -3, 8, -3, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 5}
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id: 1541303
{'charpoly_factorization': [[[6561, -2187, 0, 243, -81, 27, 0, -3, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 7}
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id: 1541304
{'charpoly_factorization': [[[256, 512, 640, 832, 624, -112, -20, -2, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 11}
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id: 1541305
{'charpoly_factorization': [[[6561, 6561, 3645, 1944, 729, 54, 0, 6, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 13}
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id: 1541306
{'charpoly_factorization': [[[1, -7, 30, -127, 339, -43, -10, -3, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 17}
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id: 1541307
{'charpoly_factorization': [[[390625, -78125, 0, 3125, -625, 125, 0, -5, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 19}
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id: 1541308
{'charpoly_factorization': [[[361, -171, 61, -11, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 23}
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id: 1541309
{'charpoly_factorization': [[[3025, -550, 60, -5, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 29}
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id: 1541310
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504011977786305, 'p': 31}
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id: 1541311
{'charpoly_factorization': [[[1, 4, 17, -4, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 37}
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id: 1541312
{'charpoly_factorization': [[[65536, 49152, 20480, 8192, 2304, 128, 0, 8, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 41}
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id: 1541313
{'charpoly_factorization': [[[14641, 7986, 2420, 814, 69, -116, -15, 1, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 43}
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id: 1541314
{'charpoly_factorization': [[[361, -38, 24, -7, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 47}
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id: 1541315
{'charpoly_factorization': [[[6561, 6561, -7290, 10449, 27459, 3429, 270, 21, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 53}
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id: 1541316
{'charpoly_factorization': [[[625, -1875, 3500, -6625, 7575, 575, -60, 5, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 59}
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id: 1541317
{'charpoly_factorization': [[[-76, -4, 1], 4]], 'hecke_orbit_code': 4504011977786305, 'p': 61}
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id: 1541318
{'charpoly_factorization': [[[1, 4, 17, -4, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 67}
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id: 1541319
{'charpoly_factorization': [[[1, -18, 200, -2218, 15249, -832, -75, -7, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 71}
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id: 1541320
{'charpoly_factorization': [[[96059601, 23287176, 2646270, 315414, 33939, 1674, 135, 21, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 73}
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id: 1541321
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504011977786305, 'p': 79}
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id: 1541322
{'charpoly_factorization': [[[707281, -268279, 21025, -7076, 3909, -706, 100, -14, 1], 1]], 'hecke_orbit_code': 4504011977786305, 'p': 83}
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id: 1541323
{'charpoly_factorization': [[[3025, -550, 60, -5, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 89}
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id: 1541324
{'charpoly_factorization': [[[9801, -2673, 279, 3, 1], 2]], 'hecke_orbit_code': 4504011977786305, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '961.2.g.b', 'level': 961, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 22759963
{'hecke_orbit_code': 4504011977786305, 'n': 1, 'trace_an': 8}
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id: 22759964
{'hecke_orbit_code': 4504011977786305, 'n': 2, 'trace_an': -6}
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id: 22759965
{'hecke_orbit_code': 4504011977786305, 'n': 3, 'trace_an': -1}
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id: 22759966
{'hecke_orbit_code': 4504011977786305, 'n': 4, 'trace_an': 6}
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id: 22759967
{'hecke_orbit_code': 4504011977786305, 'n': 5, 'trace_an': 6}
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id: 22759968
{'hecke_orbit_code': 4504011977786305, 'n': 6, 'trace_an': 2}
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id: 22759969
{'hecke_orbit_code': 4504011977786305, 'n': 7, 'trace_an': 3}
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id: 22759970
{'hecke_orbit_code': 4504011977786305, 'n': 8, 'trace_an': -10}
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id: 22759971
{'hecke_orbit_code': 4504011977786305, 'n': 9, 'trace_an': -2}
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id: 22759972
{'hecke_orbit_code': 4504011977786305, 'n': 10, 'trace_an': -2}
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id: 22759973
{'hecke_orbit_code': 4504011977786305, 'n': 11, 'trace_an': 2}
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id: 22759974
{'hecke_orbit_code': 4504011977786305, 'n': 12, 'trace_an': -2}
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id: 22759975
{'hecke_orbit_code': 4504011977786305, 'n': 13, 'trace_an': -6}
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id: 22759976
{'hecke_orbit_code': 4504011977786305, 'n': 14, 'trace_an': -6}
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id: 22759977
{'hecke_orbit_code': 4504011977786305, 'n': 15, 'trace_an': 2}
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id: 22759978
{'hecke_orbit_code': 4504011977786305, 'n': 16, 'trace_an': 18}
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id: 22759979
{'hecke_orbit_code': 4504011977786305, 'n': 17, 'trace_an': 3}
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id: 22759980
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