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mf_newforms • Show schema
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{'Nk2': 180, 'analytic_conductor': 0.3593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [45, 6, [11, 37], [2, 3]], 'cm_discs': [], 'conrey_index': 4, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 618508845101, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 45, 10, 1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.2.j.a', 'level': 45, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '45.2.j.a', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 10, 'qexp_display': 'q+\\zeta_{24}^{6}q^{2}+(\\zeta_{24}^{5}-\\zeta_{24}^{7})q^{3}-\\zeta_{24}^{3}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45.2.j', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1976492183372613922, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.498', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.469', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 180, 'analytic_conductor': 0.3593268090957617, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [45, 6, [11, 37], [2, 3]], 'conrey_index': 4, 'cusp_dim': 8, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [], 'hecke_orbit_code': 618508845101, 'hecke_orbit_dims': [8], 'label': '45.2.j', 'level': 45, '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': [3, 5], 'level_radical': 15, 'mf_dim': 16, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 10, 'relative_dim': 4, 'sturm_bound': 12, 'trace_bound': 0, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 0, 0, -12, 0, 0, 0, -8, -12, 0, 0, 0, 12, 4, 0, 0, -8, 12, 12, 0, 0, 12, -4, 24, 0, 0, 12, -12, 4, 0, 0, -4, -24, 0, 0, 0, -12, -4, -24, 0, 0, -24, 0, -16, 0, 0, -4, 24, -36, 0, 0, 0, 24, -12, 0, 0, 24, 24, -8, 0, 0, 32, 0, 60, 0, 0, 12, 12, 72, 0, 0, -12, -48, -12, 0, 0, 16, -48, 36, 0, 0, -36, 16, -36, 0, 0, -24, -36, -24, 0, 0, 20, 12, -60, 0, 0, -36, 0, -24, 0, 0, -12, 36, -16, 0, 0, -32, 24, 36, 0, 0, 24, 4, 48, 0, 0, 36, 12, -4, 0, 0, -12, 0, 0, 0, 0, 48, -12, -24, 0, 0, 24, 36, 40, 0, 0, -32, 12, -36, 0, 0, 72, -48, -24, 0, 0, 24, 12, 28, 0, 0, -24, 12, 0, 0, 0, 0, -36, 0, 0, 0, -12, -24, 32, 0, 0, -28, -24, -36, 0, 0, -84, -24, 36, 0, 0, -72, 0, 40, 0, 0, 4, -24, 12, 0, 0, -72, 32, -36, 0, 0, -24, 0, 36, 0, 0, 88, 24, -48, 0, 0, 12, 12, -72, 0, 0, 24, 24, 4, 0, 0, 56, 48, -36, 0, 0, 72, 36, 24, 0, 0, 96, 0, -16, 0, 0, 52, 12, 36, 0, 0, 36, -8, 24, 0, 0, 24, -12, -32, 0, 0, -120, -36, 12, 0, 0, -12, 28, 24, 0, 0, -36, -12, -36, 0, 0, -36, -48, 72, 0, 0, -24, -8, -12, 0, 0, -96, -36, -8, 0, 0, -88, -12, 12, 0, 0, 0, -48, 72, 0, 0, -36, -24, -48, 0, 0, 24, -36, -24, 0, 0, -36, -24, -24, 0, 0, -12, 72, -12, 0, 0, -28, 120, 36, 0, 0, 60, -16, -36, 0, 0, 192, 36, -48, 0, 0, 60, -12, 48, 0, 0, 0, 96, 84, 0, 0, -12, -72, -8, 0, 0, 152, -36, -12, 0, 0, -48, 24, -48, 0, 0, -12, -12, 8, 0, 0, 100, 0, -36, 0, 0, -24, 36, 72, 0, 0, -120, 0, -120, 0, 0, 36, -48, 144, 0, 0, 0, 72, 0, 0, 0, 0, -84, 16, 0, 0, -128, -12, -108, 0, 0, -36, 24, -168, 0, 0, -48, 48, -4, 0, 0, -64, 48, -108, 0, 0, 24, 4, 96, 0, 0, 48, 0, 48, 0, 0, -80, 12, 168, 0, 0, -36, -104, 12, 0, 0, 12, -36, 64, 0, 0, 16, -48, -72, 0, 0, 0, -60, -48, 0, 0, -12, 12, 60, 0, 0, -32, 0, 0, 0, 0, 36, -72, 60, 0, 0, 96, 0, 120, 0, 0, 20, -36, 12, 0, 0, 72, 24, 36, 0, 0, -60, 24, 20, 0, 0, 120, 24, -120, 0, 0, 0, 4, -120, 0, 0, 72, 108, 0, 0, 0, 72, 144, 0, 0, 0, 36, 40, -24, 0, 0, -48, 108, 56, 0, 0, 40, -36, -96, 0, 0, 72, -48, 36, 0, 0, 12, -24, -72, 0, 0, -208, 24, -36, 0, 0, -48, 12, -72, 0, 0, -48, 12, -52, 0, 0, -84, 48, 0, 0, 0, -36, 4, 24, 0, 0, 96, -36, 88, 0, 0, -60, -60, 0, 0, 0, -180, -192, -36, 0, 0, -60, -36, 0, 0, 0, -96, 12, 24, 0, 0, 48, -56, 0, 0, 0, 48, 12, -8, 0, 0, -12, -48, 36, 0, 0, 132, -36, 72, 0, 0, -48, -72, -40, 0, 0, -16, 0, 144, 0, 0, 180, 120, -12, 0, 0, 24, -12, 40, 0, 0, 216, -72, 24, 0, 0, -36, 68, 72, 0, 0, -96, 24, -12, 0, 0, 100, 24, 36, 0, 0, -60, 92, 36, 0, 0, 96, 0, -128, 0, 0, 140, 36, 48, 0, 0, -108, 88, 24, 0, 0, -12, 36, -8, 0, 0, -96, -12, -12, 0, 0, -12, 48, 0, 0, 0, 48, -72, 40, 0, 0, -20, 0, -108, 0, 0, -60, -48, -84, 0, 0, 0, 72, 0, 0, 0, -120, 36, -120, 0, 0, 0, 16, 36, 0, 0, 24, -36, 16, 0, 0, 56, 0, 12, 0, 0, -60, -72, -144, 0, 0, -60, -48, 56, 0, 0, -44, 0, -72, 0, 0, 12, -24, -108, 0, 0, -240, -36, -24, 0, 0, 24, 12, -72, 0, 0, 0, 144, 0, 0, 0, 60, -72, -24, 0, 0, 256, 0, 48, 0, 0, -12, 12, 192, 0, 0, -48, 36, -20, 0, 0, 60, -216, 108, 0, 0, -12, -8, -36, 0, 0, 120, 0, -136, 0, 0, 28, 36, 120, 0, 0, 0, -8, 48, 0, 0, 12, 36, -72, 0, 0, -152, -24, 48, 0, 0, 144, 8, 240, 0, 0, 144, -48, -108, 0, 0, -28, 48, 216, 0, 0, -108, 12, 24, 0, 0, -48, -36, 16, 0, 0, -72, 24, 72, 0, 0, 108, -144, 0, 0, 0, 12, 144, 24, 0, 0, -128, 84, 120, 0, 0, 0, -20, 96, 0, 0, 12, -60, 32, 0, 0, -84, 0, 0, 0, 0, 60, -4, -12, 0, 0, -120, 0, -104, 0, 0, 28, 48, -180, 0, 0, -180, 64, -132, 0, 0, 24, 108, -12, 0, 0, 40, 84, 72, 0, 0, 84, 84, -192, 0, 0, 48, -48, -52, 0, 0, 108, -120, -216, 0, 0, 12, 108, -84, 0, 0, 72, -36, -16, 0, 0, 64, -24, -300, 0, 0, 72, -48, -144, 0, 0, -108, 36, -48, 0, 0, -128, 0, 72, 0, 0, 72, 0, 72, 0, 0, 0, -60, 40, 0, 0, -4, -48, 0, 0, 0, -96, -36, -36, 0, 0, -48, -108, 336, 0, 0, 0, -48, -192, 0, 0, -72, -120, -48, 0, 0, 72, 60, 108, 0, 0, 24, 48, 12, 0, 0, -24, -96, 264, 0, 0, -12, -12, 128, 0, 0, -36, -24, 180, 0, 0, -12, -104, -12, 0, 0, 72, 144, 256, 0, 0, -36, 108, -60, 0, 0, 0, 56], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 6978803
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 34, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618508845101, 'target_is_minimal': True, 'target_label': '45.2.j.a.34.4', 'target_level': 45, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 6978804
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845191, 'target_is_minimal': False, 'target_label': '135.2.j.a.19.1', 'target_level': 135, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6978805
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13514234889503440, 'target_is_minimal': False, 'target_label': '720.2.by.d.529.4', 'target_level': 720, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 6978806
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573089, 'target_is_minimal': False, 'target_label': '225.2.e.d.151.1', 'target_level': 225, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6978807
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573089, 'target_is_minimal': False, 'target_label': '225.2.e.d.151.4', 'target_level': 225, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 6978808
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 34, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845101, 'target_is_minimal': True, 'target_label': '45.2.j.a.34.1', 'target_level': 45, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 6978809
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 244, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268007772565, 'target_is_minimal': False, 'target_label': '405.2.b.c.244.4', 'target_level': 405, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6978810
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 4, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845101, 'target_is_minimal': True, 'target_label': '45.2.j.a.4.1', 'target_level': 45, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 6978811
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 64, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618508845191, 'target_is_minimal': False, 'target_label': '135.2.j.a.64.4', 'target_level': 135, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 6978812
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 244, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143061, 'target_is_minimal': False, 'target_label': '405.2.b.d.244.1', 'target_level': 405, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 6978813
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9010635262134384, 'target_is_minimal': False, 'target_label': '2160.2.by.c.289.4', 'target_level': 2160, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 6978814
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573539, 'target_is_minimal': False, 'target_label': '675.2.e.d.451.4', 'target_level': 675, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6978815
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573539, 'target_is_minimal': False, 'target_label': '675.2.e.d.451.1', 'target_level': 675, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 6978816
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618508845191, 'target_is_minimal': False, 'target_label': '135.2.j.a.19.4', 'target_level': 135, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 6978817
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889503440, 'target_is_minimal': False, 'target_label': '720.2.by.d.529.1', 'target_level': 720, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 6978818
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 1009, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010635262134384, 'target_is_minimal': False, 'target_label': '2160.2.by.c.1009.2', 'target_level': 2160, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 6978819
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889503440, 'target_is_minimal': False, 'target_label': '720.2.by.d.49.1', 'target_level': 720, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 6978820
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854889, 'target_is_minimal': False, 'target_label': '2025.2.a.r.1.1', 'target_level': 2025, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6978821
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 4, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618508845101, 'target_is_minimal': True, 'target_label': '45.2.j.a.4.4', 'target_level': 45, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 6978822
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568392953595881, 'target_is_minimal': False, 'target_label': '2025.2.a.t.1.4', 'target_level': 2025, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 6978823
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 76, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573089, 'target_is_minimal': False, 'target_label': '225.2.e.d.76.4', 'target_level': 225, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 6978824
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 64, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845191, 'target_is_minimal': False, 'target_label': '135.2.j.a.64.1', 'target_level': 135, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 6978825
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 76, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573089, 'target_is_minimal': False, 'target_label': '225.2.e.d.76.1', 'target_level': 225, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 6978826
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 226, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573539, 'target_is_minimal': False, 'target_label': '675.2.e.d.226.1', 'target_level': 675, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 6978827
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 244, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007772565, 'target_is_minimal': False, 'target_label': '405.2.b.c.244.1', 'target_level': 405, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 6978828
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 226, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573539, 'target_is_minimal': False, 'target_label': '675.2.e.d.226.4', 'target_level': 675, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 6978829
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 244, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510867635143061, 'target_is_minimal': False, 'target_label': '405.2.b.d.244.4', 'target_level': 405, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 6978830
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561193698854889, 'target_is_minimal': False, 'target_label': '2025.2.a.r.1.4', 'target_level': 2025, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 6978831
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953595881, 'target_is_minimal': False, 'target_label': '2025.2.a.t.1.1', 'target_level': 2025, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 6978832
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010635262134384, 'target_is_minimal': False, 'target_label': '2160.2.by.c.289.2', 'target_level': 2160, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 6978833
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 1009, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9010635262134384, 'target_is_minimal': False, 'target_label': '2160.2.by.c.1009.4', 'target_level': 2160, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 6978834
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 34, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618508845101, 'source_is_minimal': True, 'source_label': '45.2.j.a.34.4', 'source_level': 45, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13514234889503440, 'target_is_minimal': False, 'target_label': '720.2.by.d.49.4', 'target_level': 720, 'twist_class_label': '45.2.j.a.4.1', 'twist_class_level': 45, 'twisting_char_label': '180.139', 'twisting_conrey_index': 139, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 150000
{'charpoly_factorization': [[[1, 0, -4, 0, 15, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 2}
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id: 150001
{'charpoly_factorization': [[[81, 0, 0, 0, -9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 3}
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id: 150002
{'charpoly_factorization': [[[625, 0, 50, 0, -21, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 5}
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id: 150003
{'charpoly_factorization': [[[81, 0, -108, 0, 135, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 7}
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id: 150004
{'charpoly_factorization': [[[36, 36, 30, 6, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 11}
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id: 150005
{'charpoly_factorization': [[[36, 0, -6, 0, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 13}
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id: 150006
{'charpoly_factorization': [[[4, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 17}
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id: 150007
{'charpoly_factorization': [[[-2, 2, 1], 4]], 'hecke_orbit_code': 618508845101, 'p': 19}
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id: 150008
{'charpoly_factorization': [[[1, 0, -4, 0, 15, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 23}
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id: 150009
{'charpoly_factorization': [[[9, 18, 39, -6, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 29}
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id: 150010
{'charpoly_factorization': [[[4, 4, 6, -2, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 31}
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id: 150011
{'charpoly_factorization': [[[18, 0, 1], 4]], 'hecke_orbit_code': 618508845101, 'p': 37}
-
id: 150012
{'charpoly_factorization': [[[1089, 396, 111, 12, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 41}
-
id: 150013
{'charpoly_factorization': [[[1296, 0, -3024, 0, 7020, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 43}
-
id: 150014
{'charpoly_factorization': [[[28561, 0, -4732, 0, 615, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 47}
-
id: 150015
{'charpoly_factorization': [[[16, 0, 16, 0, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 53}
-
id: 150016
{'charpoly_factorization': [[[576, -288, 120, -12, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 59}
-
id: 150017
{'charpoly_factorization': [[[5041, -284, 87, 4, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 61}
-
id: 150018
{'charpoly_factorization': [[[2313441, 0, -127764, 0, 5535, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 67}
-
id: 150019
{'charpoly_factorization': [[[54, -18, 1], 4]], 'hecke_orbit_code': 618508845101, 'p': 71}
-
id: 150020
{'charpoly_factorization': [[[72, 0, 1], 4]], 'hecke_orbit_code': 618508845101, 'p': 73}
-
id: 150021
{'charpoly_factorization': [[[16, -32, 60, -8, 1], 2]], 'hecke_orbit_code': 618508845101, 'p': 79}
-
id: 150022
{'charpoly_factorization': [[[47458321, 0, -1184908, 0, 22695, 0, -172, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 83}
-
id: 150023
{'charpoly_factorization': [[[-99, 6, 1], 4]], 'hecke_orbit_code': 618508845101, 'p': 89}
-
id: 150024
{'charpoly_factorization': [[[592240896, 0, -8176896, 0, 88560, 0, -336, 0, 1], 1]], 'hecke_orbit_code': 618508845101, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 1, 'label': '45.2.j.a', 'level': 45, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 10172232
{'hecke_orbit_code': 618508845101, 'n': 1, 'trace_an': 8}
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id: 10172233
{'hecke_orbit_code': 618508845101, 'n': 2, 'trace_an': 0}
-
id: 10172234
{'hecke_orbit_code': 618508845101, 'n': 3, 'trace_an': 0}
-
id: 10172235
{'hecke_orbit_code': 618508845101, 'n': 4, 'trace_an': 0}
-
id: 10172236
{'hecke_orbit_code': 618508845101, 'n': 5, 'trace_an': 0}
-
id: 10172237
{'hecke_orbit_code': 618508845101, 'n': 6, 'trace_an': -12}
-
id: 10172238
{'hecke_orbit_code': 618508845101, 'n': 7, 'trace_an': 0}
-
id: 10172239
{'hecke_orbit_code': 618508845101, 'n': 8, 'trace_an': 0}
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id: 10172240
{'hecke_orbit_code': 618508845101, 'n': 9, 'trace_an': 0}
-
id: 10172241
{'hecke_orbit_code': 618508845101, 'n': 10, 'trace_an': -8}
-
id: 10172242
{'hecke_orbit_code': 618508845101, 'n': 11, 'trace_an': -12}
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id: 10172243
{'hecke_orbit_code': 618508845101, 'n': 12, 'trace_an': 0}
-
id: 10172244
{'hecke_orbit_code': 618508845101, 'n': 13, 'trace_an': 0}
-
id: 10172245
{'hecke_orbit_code': 618508845101, 'n': 14, 'trace_an': 0}
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id: 10172246
{'hecke_orbit_code': 618508845101, 'n': 15, 'trace_an': 12}
-
id: 10172247
{'hecke_orbit_code': 618508845101, 'n': 16, 'trace_an': 4}
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id: 10172248
{'hecke_orbit_code': 618508845101, 'n': 17, 'trace_an': 0}
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id: 10172249
{'hecke_orbit_code': 618508845101, 'n': 18, 'trace_an': 0}
-
id: 10172250
{'hecke_orbit_code': 618508845101, 'n': 19, 'trace_an': -8}
-
id: 10172251
{'hecke_orbit_code': 618508845101, 'n': 20, 'trace_an': 12}
-
id: 10172252
{'hecke_orbit_code': 618508845101, 'n': 21, 'trace_an': 12}
-
id: 10172253
{'hecke_orbit_code': 618508845101, 'n': 22, 'trace_an': 0}
-
id: 10172254
{'hecke_orbit_code': 618508845101, 'n': 23, 'trace_an': 0}
-
id: 10172255
{'hecke_orbit_code': 618508845101, 'n': 24, 'trace_an': 12}
-
id: 10172256
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id: 10172465
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id: 10172466
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id: 10172467
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id: 10172468
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id: 10172469
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id: 10172470
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id: 10172471
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id: 10172472
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id: 10172473
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id: 10172474
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id: 10172475
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id: 10172476
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id: 10172477
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id: 10172478
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id: 10172479
{'hecke_orbit_code': 618508845101, 'n': 937, 'trace_an': 0}
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id: 10172480
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id: 10172481
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id: 10172482
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id: 10172483
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id: 10172484
{'hecke_orbit_code': 618508845101, 'n': 967, 'trace_an': 0}
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id: 10172485
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id: 10172486
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id: 10172487
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id: 10172488
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id: 10172489
{'hecke_orbit_code': 618508845101, 'n': 997, 'trace_an': 0}