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{'Nk2': 5000, 'analytic_conductor': 9.981300252660048, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 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': [1250, 1, [627], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 7625, 'field_disc_factorization': [[5, 3], [61, 1]], 'field_poly': [16, 4, -9, -1, 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': [[3, [16, 4, -9, -1, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934631138, 'hecke_ring_generator_nbound': 13, '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': '1250.2.a.l', 'level': 1250, '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, 5], 'level_radical': 10, 'minimal_twist': '50.2.d.b', 'nf_label': '4.4.7625.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta _{1}q^{3}+q^{4}+\\beta _{1}q^{6}+(1+\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1250.2.a', 'trace_display': [4, 1, 0, 2], 'trace_hash': 1441463147818770436, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.785', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.258', 'prec': 17}, {'__RealLiteral__': 0, 'data': '40.188', 'prec': 20}, {'__RealLiteral__': 0, 'data': '35.940', 'prec': 20}, {'__RealLiteral__': 0, 'data': '688.938', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [4, 4, 1, 4, 0, 1, 2, 4, 7, 0, -2, 1, 11, 2, 0, 4, 12, 7, -5, 0, -7, -2, -4, 1, 0, 11, 10, 2, 15, 0, -12, 4, 7, 12, 0, 7, 12, -5, -11, 0, 13, -7, 6, -2, 0, -4, 2, 1, -2, 0, 13, 11, 11, 10, 0, 2, 0, 15, 0, 0, 8, -12, 21, 4, 0, 7, 22, 12, -31, 0, -22, 7, 21, 12, 0, -5, -26, -11, -10, 0, -16, 13, -24, -7, 0, 6, 25, -2, -5, 0, -12, -4, -23, 2, 0, 1, 22, -2, -21, 0, 8, 13, 11, 11, 0, 11, -13, 10, 15, 0, -32, 2, -9, 0, 0, 15, -12, 0, -19, 0, -18, 8, 27, -12, 0, 21, 12, 4, -1, 0, -12, 7, 15, 22, 0, 12, -18, -31, -35, 0, -7, -22, 12, 7, 0, 21, -18, 12, -15, 0, -42, -5, 6, -26, 0, -11, 32, -10, -56, 0, -12, -16, 11, 13, 0, -24, 17, -7, 17, 0, 10, 6, -39, 25, 0, -2, -50, -5, -10, 0, 23, -12, -43, -4, 0, -23, 19, 2, 30, 0, -32, 1, -19, 22, 0, -2, 7, -21, 5, 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mf_newspaces • Show schema
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{'ALdims': [8, 12, 14, 6], 'Nk2': 5000, 'analytic_conductor': 9.981300252660048, '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': [1250, 1, [627], [1]], 'conrey_index': 1, 'cusp_dim': 158, 'dim': 40, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555682, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1250.2.a', 'level': 1250, '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, 5], 'level_radical': 10, 'mf_dim': 217, 'mf_new_dim': 40, 'num_forms': 12, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 40, 'sturm_bound': 375, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, 40, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 40, 0, 0, 20, 0, 20, 0, 0, 0, 0, -10, 0, 0, -10, 0, 20, 0, 0, -10, 0, 40, 0, 0, 20, 0, -10, 0, 0, 0, 0, 0, 0, 0, 60, 0, 30, 0, 0, 30, 0, 0, 0, 0, 30, 0, 10, 0, 0, 40, 0, 30, 0, 0, -40, 0, -40, 0, 0, -10, 0, 20, 0, 0, 20, 0, 0, 0, 0, 20, 0, 30, 0, 0, -50, 0, 40, 0, 0, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, -10, 0, -10, 0, 0, 10, 0, -20, 0, 0, 30, 0, -10, 0, 0, -40, 0, 0, 0, 0, 20, 0, -40, 0, 0, -20, 0, -10, 0, 0, -40, 0, -10, 0, 0, -20, 0, -80, 0, 0, 40, 0, -10, 0, 0, -50, 0, -20, 0, 0, -40, 0, 20, 0, 0, -80, 0, -80, 0, 0, -10, 0, -40, 0, 0, 110, 0, 110, 0, 0, -40, 0, 0, 0, 0, -40, 0, 70, 0, 0, 0, 0, -40, 0, 0, 40, 0, -40, 0, 0, 20, 0, 60, 0, 0, 40, 0, 10, 0, 0, 30, 0, -40, 0, 0, -10, 0, 80, 0, 0, -40, 0, 30, 0, 0, -30, 0, -100, 0, 0, 0, 0, -50, 0, 0, -70, 0, -120, 0, 0, -50, 0, 30, 0, 0, -80, 0, 30, 0, 0, 10, 0, -10, 0, 0, -50, 0, -120, 0, 0, -40, 0, 40, 0, 0, 60, 0, -130, 0, 0, 30, 0, -40, 0, 0, 10, 0, 40, 0, 0, -50, 0, -40, 0, 0, 0, 0, 80, 0, 0, -40, 0, -40, 0, 0, 50, 0, -100, 0, 0, -80, 0, -10, 0, 0, 20, 0, 60, 0, 0, 20, 0, -20, 0, 0, -100, 0, 20, 0, 0, -50, 0, 20, 0, 0, -120, 0, -90, 0, 0, 0, 0, 60, 0, 0, -60, 0, -100, 0, 0, 60, 0, 20, 0, 0, -90, 0, 80, 0, 0, 30, 0, -90, 0, 0, -70, 0, -80, 0, 0, -80, 0, -50, 0, 0, -60, 0, 40, 0, 0, 40, 0, -80, 0, 0, -140, 0, -160, 0, 0, 90, 0, 0, 0, 0, 140, 0, -140, 0, 0, 0, 0, -90, 0, 0, -70, 0, -120, 0, 0, -90, 0, -10, 0, 0, -160, 0, -30, 0, 0, -10, 0, 20, 0, 0, -10, 0, -130, 0, 0, -120, 0, -10, 0, 0, -20, 0, 30, 0, 0, -10, 0, 120, 0, 0, -40, 0, -20, 0, 0, 120, 0, 10, 0, 0, 40, 0, 120, 0, 0, -20, 0, 20, 0, 0, -30, 0, 70, 0, 0, 90, 0, 30, 0, 0, -110, 0, 130, 0, 0, -10, 0, 80, 0, 0, 320, 0, 120, 0, 0, 80, 0, -40, 0, 0, -100, 0, 200, 0, 0, 0, 0, 50, 0, 0, 350, 0, -30, 0, 0, -20, 0, 20, 0, 0, 290, 0, -240, 0, 0, -40, 0, 80, 0, 0, 70, 0, 240, 0, 0, 40, 0, -20, 0, 0, 100, 0, 230, 0, 0, -10, 0, -80, 0, 0, -60, 0, 190, 0, 0, -50, 0, -40, 0, 0, 60, 0, 210, 0, 0, -10, 0, 40, 0, 0, 170, 0, 0, 0, 0, 50, 0, -20, 0, 0, 240, 0, 50, 0, 0, -80, 0, 20, 0, 0, 30, 0, 30, 0, 0, -120, 0, 40, 0, 0, 150, 0, -100, 0, 0, -10, 0, 10, 0, 0, -60, 0, 60, 0, 0, 210, 0, -50, 0, 0, -140, 0, 250, 0, 0, -20, 0, -160, 0, 0, -20, 0, -60, 0, 0, 120, 0, -40, 0, 0, -50, 0, -80, 0, 0, 20, 0, 230, 0, 0, 430, 0, 20, 0, 0, 160, 0, -80, 0, 0, -280, 0, 30, 0, 0, -80, 0, 10, 0, 0, -40, 0, 320, 0, 0, -160, 0, -10, 0, 0, -140, 0, 20, 0, 0, -40, 0, -170, 0, 0, 40, 0, 160, 0, 0, 120, 0, 110, 0, 0, 200, 0, 180, 0, 0, 110, 0, -60, 0, 0, 430, 0, -20, 0, 0, -20, 0, -40, 0, 0, -20, 0, 50, 0, 0, 0, 0, 290, 0, 0, 70, 0, 60, 0, 0, 0, 0, -40, 0, 0, -100, 0, -100, 0, 0, 70, 0, -130, 0, 0, 10, 0, -180, 0, 0, -160, 0, 0, 0, 0, 10, 0, 320, 0, 0, -40, 0, 260, 0, 0, -80, 0, -260, 0, 0, -140, 0, 40, 0, 0, 240, 0, -150, 0, 0, -40, 0, -20, 0, 0, 320, 0, -120, 0, 0, -30, 0, 20, 0, 0, 90, 0, -40, 0, 0, 60, 0, 40, 0, 0, -160, 0, 20, 0, 0, 80, 0, 40, 0, 0, 60, 0, 0, 0, 0, 10, 0, -60, 0, 0, -80, 0, 450, 0, 0, -160, 0, 30, 0, 0, -240, 0, 20, 0, 0, -40, 0, 40, 0, 0, -70, 0, -380, 0, 0, 70, 0, -10, 0, 0, -80, 0, 190, 0, 0, 80, 0, -240, 0, 0, -10, 0, -20, 0, 0, -60, 0, -40, 0, 0, -60, 0, 60, 0, 0, 30, 0, 30, 0, 0, -260, 0, -120, 0, 0, 180, 0, -30, 0, 0, 100, 0, 130, 0, 0, -100, 0, -160, 0, 0, 220, 0, -280, 0, 0, -200, 0, 0, 0, 0, -20, 0, 0, 0, 0, -50, 0, 0, 0, 0, 10, 0, -220, 0, 0, 120, 0, -70, 0, 0, 40, 0, -150, 0, 0, -120, 0, -60, 0, 0, -200, 0, 340, 0, 0, 110, 0, -50, 0, 0, 80, 0, 70, 0, 0, 30, 0, 40, 0, 0, 230, 0, 60, 0, 0, 250, 0, -80, 0, 0, -60, 0, 80, 0, 0, 30, 0, 60, 0, 0, -210, 0, -120, 0, 0, -60, 0, 10, 0, 0, 50, 0, -70, 0, 0, -10, 0, 370, 0, 0, -220, 0, 80, 0, 0, 40, 0, -50, 0, 0, -60, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47270022
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631138, 'target_is_minimal': False, 'target_label': '1250.2.a.l.1.1', 'target_level': 1250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47270023
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568392953603856, 'target_is_minimal': False, 'target_label': '10000.2.a.t.1.4', 'target_level': 10000, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47270024
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014467262514402, 'target_is_minimal': False, 'target_label': '1250.2.b.e.1249.8', 'target_level': 1250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47270025
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467262514402, 'target_is_minimal': False, 'target_label': '1250.2.b.e.1249.1', 'target_level': 1250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47270026
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22517998170408162, 'target_is_minimal': False, 'target_label': '1250.2.a.f.1.4', 'target_level': 1250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47270027
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463085840, 'target_is_minimal': False, 'target_label': '10000.2.a.x.1.1', 'target_level': 10000, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47270028
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202618, 'target_is_minimal': False, 'target_label': '250.2.e.c.49.2', 'target_level': 250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '25.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47270029
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 201, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074096378, 'target_is_minimal': False, 'target_label': '250.2.d.d.201.2', 'target_level': 250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '25.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47270030
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355186, 'target_is_minimal': True, 'target_label': '50.2.d.b.11.1', 'target_level': 50, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47270031
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 199, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202618, 'target_is_minimal': False, 'target_label': '250.2.e.c.199.3', 'target_level': 250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47270032
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 199, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202618, 'target_is_minimal': False, 'target_label': '250.2.e.c.199.2', 'target_level': 250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47270033
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 51, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074096378, 'target_is_minimal': False, 'target_label': '250.2.d.d.51.2', 'target_level': 250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47270034
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 41, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355186, 'target_is_minimal': True, 'target_label': '50.2.d.b.41.1', 'target_level': 50, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 47270035
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202618, 'target_is_minimal': False, 'target_label': '250.2.e.c.49.3', 'target_level': 250, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '25.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 47270036
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014879579374018, 'target_is_minimal': False, 'target_label': '450.2.h.e.361.2', 'target_level': 450, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '75.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 47270037
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 91, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014879579374018, 'target_is_minimal': False, 'target_label': '450.2.h.e.91.2', 'target_level': 450, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '75.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 47270038
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512173305201040, 'target_is_minimal': False, 'target_label': '400.2.u.d.161.2', 'target_level': 400, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '100.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 47270039
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631138, 'source_is_minimal': False, 'source_label': '1250.2.a.l.1.1', 'source_level': 1250, 'target_conrey_index': 241, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512173305201040, 'target_is_minimal': False, 'target_label': '400.2.u.d.241.2', 'target_level': 400, 'twist_class_label': '50.2.d.b.11.1', 'twist_class_level': 50, 'twisting_char_label': '100.71', 'twisting_conrey_index': 71, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1800575
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 49539595934631138, 'p': 2}
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id: 1800576
{'charpoly_factorization': [[[16, 4, -9, -1, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 3}
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id: 1800577
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934631138, 'p': 5}
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id: 1800578
{'charpoly_factorization': [[[16, 12, -11, -2, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 7}
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id: 1800579
{'charpoly_factorization': [[[16, -12, -11, 2, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 11}
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id: 1800580
{'charpoly_factorization': [[[-199, 59, 26, -11, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 13}
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id: 1800581
{'charpoly_factorization': [[[-109, 2, 39, -12, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 17}
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id: 1800582
{'charpoly_factorization': [[[80, -20, -35, 5, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 19}
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id: 1800583
{'charpoly_factorization': [[[16, 4, -29, 4, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 23}
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id: 1800584
{'charpoly_factorization': [[[5, -105, 70, -15, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 29}
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id: 1800585
{'charpoly_factorization': [[[-1264, -432, -1, 12, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 31}
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id: 1800586
{'charpoly_factorization': [[[71, 102, 19, -12, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 37}
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id: 1800587
{'charpoly_factorization': [[[-89, 23, 34, -13, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 41}
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id: 1800588
{'charpoly_factorization': [[[176, 64, -39, -6, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 43}
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id: 1800589
{'charpoly_factorization': [[[16, 12, -11, -2, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 47}
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id: 1800590
{'charpoly_factorization': [[[256, 464, -49, -11, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 53}
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id: 1800591
{'charpoly_factorization': [[[-320, -560, -140, 0, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 59}
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id: 1800592
{'charpoly_factorization': [[[-1709, 958, -101, -8, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 61}
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id: 1800593
{'charpoly_factorization': [[[-944, 572, 69, -22, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 67}
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id: 1800594
{'charpoly_factorization': [[[-64, 168, 129, 22, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 71}
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id: 1800595
{'charpoly_factorization': [[[-1084, 214, 81, -21, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 73}
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id: 1800596
{'charpoly_factorization': [[[-320, -240, -20, 10, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 79}
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id: 1800597
{'charpoly_factorization': [[[-3664, -456, 131, 24, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 83}
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id: 1800598
{'charpoly_factorization': [[[-3100, -1500, -165, 5, 1], 1]], 'hecke_orbit_code': 49539595934631138, 'p': 89}
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id: 1800599
{'charpoly_factorization': [[[-1, -11, 1], 2]], 'hecke_orbit_code': 49539595934631138, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1250.2.a.l', 'level': 1250, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 55676119
{'hecke_orbit_code': 49539595934631138, 'n': 1, 'trace_an': 4}
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id: 55676120
{'hecke_orbit_code': 49539595934631138, 'n': 2, 'trace_an': 4}
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id: 55676121
{'hecke_orbit_code': 49539595934631138, 'n': 3, 'trace_an': 1}
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id: 55676122
{'hecke_orbit_code': 49539595934631138, 'n': 4, 'trace_an': 4}
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id: 55676123
{'hecke_orbit_code': 49539595934631138, 'n': 5, 'trace_an': 0}
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id: 55676124
{'hecke_orbit_code': 49539595934631138, 'n': 6, 'trace_an': 1}
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id: 55676125
{'hecke_orbit_code': 49539595934631138, 'n': 7, 'trace_an': 2}
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id: 55676126
{'hecke_orbit_code': 49539595934631138, 'n': 8, 'trace_an': 4}
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id: 55676127
{'hecke_orbit_code': 49539595934631138, 'n': 9, 'trace_an': 7}
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id: 55676128
{'hecke_orbit_code': 49539595934631138, 'n': 10, 'trace_an': 0}
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id: 55676129
{'hecke_orbit_code': 49539595934631138, 'n': 11, 'trace_an': -2}
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id: 55676130
{'hecke_orbit_code': 49539595934631138, 'n': 12, 'trace_an': 1}
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id: 55676131
{'hecke_orbit_code': 49539595934631138, 'n': 13, 'trace_an': 11}
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id: 55676132
{'hecke_orbit_code': 49539595934631138, 'n': 14, 'trace_an': 2}
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