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{'Nk2': 14112, 'analytic_conductor': 52.039684625063224, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [882, 1, [785, 199], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-7, 1]], [11, [35, 1]], [13, [66, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994477667186, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '882.4.a.p', 'level': 882, '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': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '14.4.c.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{2}+4q^{4}+7q^{5}+8q^{8}+14q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '882.4.a', 'trace_display': [2, 0, 7, 0], 'trace_hash': 1866123596177135883, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.894', 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'882.4.a.p.1.1', 'level': 882, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [4, 6, 7, 8, 4, 6, 9, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [58, 50, 51, 52, 54, 54, 49, 53], 'Nk2': 14112, 'analytic_conductor': 52.039684625063224, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [882, 1, [785, 199], [1, 1]], 'conrey_index': 1, 'cusp_dim': 472, 'dim': 51, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 67109746, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '882.4.a', 'level': 882, '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': [2, 3, 7], 'level_radical': 42, 'mf_dim': 536, 'mf_new_dim': 51, 'num_forms': 35, 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mf_twists_cc • Show schema
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id: 47944663
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994477667186, 'target_is_minimal': False, 'target_label': '882.4.a.p.1.1', 'target_level': 882, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 47944664
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849954, 'target_is_minimal': False, 'target_label': '98.4.a.c.1.1', 'target_level': 98, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 47944665
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211266081650, 'target_is_minimal': False, 'target_label': '882.4.g.d.361.1', 'target_level': 882, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 47944666
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 37, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611638710398, 'target_is_minimal': False, 'target_label': '126.4.g.c.37.1', 'target_level': 126, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 4}
-
id: 47944667
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 667, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211266081650, 'target_is_minimal': False, 'target_label': '882.4.g.d.667.1', 'target_level': 882, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 4}
-
id: 47944668
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611638710398, 'target_is_minimal': False, 'target_label': '126.4.g.c.109.1', 'target_level': 126, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 4}
-
id: 47944669
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996340814706, 'target_is_minimal': False, 'target_label': '882.4.a.k.1.1', 'target_level': 882, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 47944670
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713444112, 'target_is_minimal': False, 'target_label': '784.4.a.j.1.1', 'target_level': 784, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 47944671
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588515596690, 'target_is_minimal': False, 'target_label': '2450.4.a.bf.1.1', 'target_level': 2450, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 47944672
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536015544418, 'target_is_minimal': False, 'target_label': '98.4.c.e.67.1', 'target_level': 98, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 47944673
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 11, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133432846, 'target_is_minimal': True, 'target_label': '14.4.c.b.11.1', 'target_level': 14, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 47944674
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536015544418, 'target_is_minimal': False, 'target_label': '98.4.c.e.79.1', 'target_level': 98, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 47944675
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 9, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133432846, 'target_is_minimal': True, 'target_label': '14.4.c.b.9.1', 'target_level': 14, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 47944676
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479458, 'target_is_minimal': False, 'target_label': '98.4.a.b.1.1', 'target_level': 98, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 47944677
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 81, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149450293360, 'target_is_minimal': False, 'target_label': '112.4.i.b.81.1', 'target_level': 112, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 47944678
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149450293360, 'target_is_minimal': False, 'target_label': '112.4.i.b.65.1', 'target_level': 112, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 47944679
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968185104, 'target_is_minimal': False, 'target_label': '784.4.a.l.1.1', 'target_level': 784, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 47944680
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511417424511326, 'target_is_minimal': False, 'target_label': '350.4.j.d.149.2', 'target_level': 350, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '105.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 47944681
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417424511326, 'target_is_minimal': False, 'target_label': '350.4.j.d.149.1', 'target_level': 350, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '105.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 47944682
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417424511326, 'target_is_minimal': False, 'target_label': '350.4.j.d.249.1', 'target_level': 350, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '105.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 47944683
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 51, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874572386654, 'target_is_minimal': False, 'target_label': '350.4.e.b.51.1', 'target_level': 350, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '105.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 47944684
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511417424511326, 'target_is_minimal': False, 'target_label': '350.4.j.d.249.2', 'target_level': 350, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '105.68', 'twisting_conrey_index': 68, 'weight': 4}
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id: 47944685
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874572386654, 'target_is_minimal': False, 'target_label': '350.4.e.b.151.1', 'target_level': 350, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '105.89', 'twisting_conrey_index': 89, 'weight': 4}
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id: 47944686
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787770337682, 'target_is_minimal': False, 'target_label': '2450.4.a.bh.1.1', 'target_level': 2450, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 4}
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id: 47944687
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749077664192, 'target_is_minimal': False, 'target_label': '448.4.i.c.193.1', 'target_level': 448, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '168.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 47944688
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348705034688, 'target_is_minimal': False, 'target_label': '448.4.i.d.65.1', 'target_level': 448, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '168.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 47944689
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749077664192, 'target_is_minimal': False, 'target_label': '448.4.i.c.65.1', 'target_level': 448, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '168.101', 'twisting_conrey_index': 101, 'weight': 4}
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id: 47944690
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994477667186, 'source_is_minimal': False, 'source_label': '882.4.a.p.1.1', 'source_level': 882, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348705034688, 'target_is_minimal': False, 'target_label': '448.4.i.d.193.1', 'target_level': 448, 'twist_class_label': '14.4.c.b.9.1', 'twist_class_level': 14, 'twisting_char_label': '168.131', 'twisting_conrey_index': 131, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1281325
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 2}
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id: 1281326
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 3}
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id: 1281327
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 5}
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id: 1281328
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 7}
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id: 1281329
{'charpoly_factorization': [[[35, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 11}
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id: 1281330
{'charpoly_factorization': [[[66, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 13}
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id: 1281331
{'charpoly_factorization': [[[-59, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 17}
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id: 1281332
{'charpoly_factorization': [[[137, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 19}
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id: 1281333
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 23}
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id: 1281334
{'charpoly_factorization': [[[106, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 29}
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id: 1281335
{'charpoly_factorization': [[[75, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 31}
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id: 1281336
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 37}
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id: 1281337
{'charpoly_factorization': [[[498, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 41}
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id: 1281338
{'charpoly_factorization': [[[-260, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 43}
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id: 1281339
{'charpoly_factorization': [[[171, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 47}
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id: 1281340
{'charpoly_factorization': [[[-417, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 53}
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id: 1281341
{'charpoly_factorization': [[[17, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 59}
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id: 1281342
{'charpoly_factorization': [[[51, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 61}
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id: 1281343
{'charpoly_factorization': [[[-439, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 67}
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id: 1281344
{'charpoly_factorization': [[[-784, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 71}
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id: 1281345
{'charpoly_factorization': [[[295, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 73}
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id: 1281346
{'charpoly_factorization': [[[495, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 79}
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id: 1281347
{'charpoly_factorization': [[[-932, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 83}
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id: 1281348
{'charpoly_factorization': [[[873, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 89}
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id: 1281349
{'charpoly_factorization': [[[-290, 1], 1]], 'hecke_orbit_code': 67553994477667186, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '882.4.a.p', 'level': 882, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 61037101
{'hecke_orbit_code': 67553994477667186, 'n': 1, 'trace_an': 1}
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id: 61037102
{'hecke_orbit_code': 67553994477667186, 'n': 2, 'trace_an': 2}
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id: 61037103
{'hecke_orbit_code': 67553994477667186, 'n': 3, 'trace_an': 0}
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id: 61037104
{'hecke_orbit_code': 67553994477667186, 'n': 4, 'trace_an': 4}
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id: 61037105
{'hecke_orbit_code': 67553994477667186, 'n': 5, 'trace_an': 7}
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id: 61037106
{'hecke_orbit_code': 67553994477667186, 'n': 6, 'trace_an': 0}
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id: 61037107
{'hecke_orbit_code': 67553994477667186, 'n': 7, 'trace_an': 0}
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id: 61037108
{'hecke_orbit_code': 67553994477667186, 'n': 8, 'trace_an': 8}
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id: 61037109
{'hecke_orbit_code': 67553994477667186, 'n': 9, 'trace_an': 0}
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id: 61037110
{'hecke_orbit_code': 67553994477667186, 'n': 10, 'trace_an': 14}
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id: 61037111
{'hecke_orbit_code': 67553994477667186, 'n': 11, 'trace_an': -35}
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id: 61037112
{'hecke_orbit_code': 67553994477667186, 'n': 12, 'trace_an': 0}
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id: 61037113
{'hecke_orbit_code': 67553994477667186, 'n': 13, 'trace_an': -66}
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id: 61037114
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