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{'Nk2': 6272, 'analytic_conductor': 12.520543036936765, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 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': [1568, 1, [1471, 197, 1473], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, -2, 1]], [5, [-7, 2, 1]], [11, [-1, -2, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580965920, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1568.2.a.u', 'level': 1568, 'level_is_powerful': True, '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, 7], 'level_radical': 14, 'minimal_twist': '224.2.i.a', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{3}+(-1-2\\beta )q^{5}+2\\beta q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1568.2.a', 'trace_display': [0, 2, -2, 0], 'trace_hash': 888401555723947014, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.176', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.454', 'prec': 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mf_newspaces • Show schema
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{'ALdims': [8, 12, 12, 9], 'Nk2': 6272, 'analytic_conductor': 12.520543036936765, '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': [1568, 1, [1471, 197, 1473], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 193, 'dim': 41, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33556000, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'label': '1568.2.a', 'level': 1568, 'level_is_powerful': True, '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, 7], 'level_radical': 14, 'mf_dim': 256, 'mf_new_dim': 41, 'num_forms': 24, 'plus_dim': 17, 'prim_orbit_index': 1, 'relative_dim': 41, 'sturm_bound': 448, 'trace_bound': 25, 'trace_display': [0, 0, -2, 0], 'traces': [41, 0, 0, 0, -2, 0, 0, 0, 37, 0, 0, 0, -10, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 55, 0, 0, 0, 6, 0, 0, 0, 16, 0, 0, 0, -18, 0, 0, 0, 26, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 16, 0, 0, 0, -10, 0, 0, 0, 36, 0, 0, 0, 48, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 33, 0, 0, 0, -20, 0, 0, 0, -22, 0, 0, 0, 48, 0, 0, 0, -46, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 34, 0, 0, 0, -50, 0, 0, 0, -3, 0, 0, 0, -36, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, -48, 0, 0, 0, 20, 0, 0, 0, -50, 0, 0, 0, 90, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 54, 0, 0, 0, 64, 0, 0, 0, 46, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, -98, 0, 0, 0, -16, 0, 0, 0, 12, 0, 0, 0, -80, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 91, 0, 0, 0, 14, 0, 0, 0, -70, 0, 0, 0, -128, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 112, 0, 0, 0, 50, 0, 0, 0, -162, 0, 0, 0, 68, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, -70, 0, 0, 0, -16, 0, 0, 0, 107, 0, 0, 0, 78, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, -96, 0, 0, 0, 42, 0, 0, 0, -74, 0, 0, 0, -144, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 34, 0, 0, 0, -96, 0, 0, 0, -144, 0, 0, 0, -74, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 53, 0, 0, 0, -132, 0, 0, 0, 18, 0, 0, 0, -34, 0, 0, 0, 36, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, -256, 0, 0, 0, 70, 0, 0, 0, -30, 0, 0, 0, 94, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -34, 0, 0, 0, -98, 0, 0, 0, 176, 0, 0, 0, -62, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 2, 0, 0, 0, 16, 0, 0, 0, -70, 0, 0, 0, -154, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 198, 0, 0, 0, 52, 0, 0, 0, -164, 0, 0, 0, 176, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 52, 0, 0, 0, 54, 0, 0, 0, -32, 0, 0, 0, 160, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, -132, 0, 0, 0, -144, 0, 0, 0, 86, 0, 0, 0, -44, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, -234, 0, 0, 0, -224, 0, 0, 0, 44, 0, 0, 0, -86, 0, 0, 0, -96, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 224, 0, 0, 0, 34, 0, 0, 0, 272, 0, 0, 0, 106, 0, 0, 0, -234, 0, 0, 0, 0, 0, 0, 0, 382, 0, 0, 0, -182, 0, 0, 0, 96, 0, 0, 0, 85, 0, 0, 0, 124, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 118, 0, 0, 0, -238, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 34, 0, 0, 0, -194, 0, 0, 0, -368, 0, 0, 0, -148, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 150, 0, 0, 0, -96, 0, 0, 0, 206, 0, 0, 0, 32, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, -35, 0, 0, 0, -42, 0, 0, 0, 48, 0, 0, 0, 208, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 382, 0, 0, 0, 10, 0, 0, 0, 28, 0, 0, 0, -78, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 292, 0, 0, 0, 96, 0, 0, 0, 164, 0, 0, 0, 102, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 362, 0, 0, 0, 160, 0, 0, 0, 80, 0, 0, 0, -194, 0, 0, 0, 112, 0, 0, 0, -138, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 79, 0, 0, 0, 162, 0, 0, 0, 144, 0, 0, 0, -2, 0, 0, 0, 106, 0, 0, 0, 0, 0, 0, 0, 164, 0, 0, 0, 112, 0, 0, 0, 42, 0, 0, 0, 518, 0, 0, 0, 34, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, -36, 0, 0, 0, 308, 0, 0, 0, -186, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 178, 0, 0, 0, 146, 0, 0, 0, -64, 0, 0, 0, 154, 0, 0, 0, 182, 0, 0, 0, 0, 0, 0, 0, 236, 0, 0, 0, 154, 0, 0, 0, -32, 0, 0, 0, 105, 0, 0, 0, -52, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, -386, 0, 0, 0, -92, 0, 0, 0, -448, 0, 0, 0, -16, 0, 0, 0, -34, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48310877
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580965920, 'target_is_minimal': False, 'target_label': '1568.2.a.u.1.1', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48310878
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679890464, 'target_is_minimal': False, 'target_label': '1568.2.a.j.1.2', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48310879
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1537, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050944572556832, 'target_is_minimal': False, 'target_label': '1568.2.i.o.1537.2', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48310880
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480032, 'target_is_minimal': True, 'target_label': '224.2.i.d.65.1', 'target_level': 224, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48310881
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 961, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050944572556832, 'target_is_minimal': False, 'target_label': '1568.2.i.o.961.2', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48310882
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 193, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480032, 'target_is_minimal': True, 'target_label': '224.2.i.d.193.1', 'target_level': 224, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48310883
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934631456, 'target_is_minimal': False, 'target_label': '1568.2.a.l.1.2', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48310884
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381774711872, 'target_is_minimal': False, 'target_label': '3136.2.a.bx.1.1', 'target_level': 3136, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48310885
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854672448, 'target_is_minimal': False, 'target_label': '3136.2.a.be.1.2', 'target_level': 3136, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48310886
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81066030276806624, 'target_is_minimal': False, 'target_label': '2016.2.s.s.865.1', 'target_level': 2016, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48310887
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81066030276806624, 'target_is_minimal': False, 'target_label': '2016.2.s.s.289.1', 'target_level': 2016, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48310888
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368544, 'target_is_minimal': True, 'target_label': '224.2.i.a.65.2', 'target_level': 224, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48310889
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 961, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583341218891296, 'target_is_minimal': False, 'target_label': '1568.2.i.x.961.1', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48310890
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 193, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368544, 'target_is_minimal': True, 'target_label': '224.2.i.a.193.2', 'target_level': 224, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48310891
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1537, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583341218891296, 'target_is_minimal': False, 'target_label': '1568.2.i.x.1537.1', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48310892
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835706912, 'target_is_minimal': False, 'target_label': '1568.2.a.w.1.1', 'target_level': 1568, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48310893
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532946435703232, 'target_is_minimal': False, 'target_label': '448.2.i.j.65.1', 'target_level': 448, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48310894
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 193, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022147553591744, 'target_is_minimal': False, 'target_label': '448.2.i.g.193.2', 'target_level': 448, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48310895
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147341376, 'target_is_minimal': False, 'target_label': '3136.2.a.bw.1.1', 'target_level': 3136, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48310896
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 193, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532946435703232, 'target_is_minimal': False, 'target_label': '448.2.i.j.193.1', 'target_level': 448, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48310897
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227301952, 'target_is_minimal': False, 'target_label': '3136.2.a.bd.1.2', 'target_level': 3136, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48310898
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022147553591744, 'target_is_minimal': False, 'target_label': '448.2.i.g.65.2', 'target_level': 448, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '56.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 48310899
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058831022065632, 'target_is_minimal': False, 'target_label': '2016.2.s.q.865.1', 'target_level': 2016, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48310900
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580965920, 'source_is_minimal': False, 'source_label': '1568.2.a.u.1.1', 'source_level': 1568, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058831022065632, 'target_is_minimal': False, 'target_label': '2016.2.s.q.289.1', 'target_level': 2016, 'twist_class_label': '224.2.i.a.65.2', 'twist_class_level': 224, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2041950
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992580965920, 'p': 2}
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id: 2041951
{'charpoly_factorization': [[[-1, -2, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 3}
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id: 2041952
{'charpoly_factorization': [[[-7, 2, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 5}
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id: 2041953
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992580965920, 'p': 7}
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id: 2041954
{'charpoly_factorization': [[[-1, -2, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 11}
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id: 2041955
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 13}
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id: 2041956
{'charpoly_factorization': [[[1, -6, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 17}
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id: 2041957
{'charpoly_factorization': [[[23, -10, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 19}
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id: 2041958
{'charpoly_factorization': [[[-17, -2, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 23}
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id: 2041959
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 29}
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id: 2041960
{'charpoly_factorization': [[[47, -14, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 31}
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id: 2041961
{'charpoly_factorization': [[[-23, -6, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 37}
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id: 2041962
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 41}
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id: 2041963
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 43}
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id: 2041964
{'charpoly_factorization': [[[79, -18, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 47}
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id: 2041965
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 90071992580965920, 'p': 53}
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id: 2041966
{'charpoly_factorization': [[[-97, -2, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 59}
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id: 2041967
{'charpoly_factorization': [[[-23, 6, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 61}
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id: 2041968
{'charpoly_factorization': [[[31, -14, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 67}
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id: 2041969
{'charpoly_factorization': [[[32, 16, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 71}
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id: 2041970
{'charpoly_factorization': [[[49, -18, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 73}
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id: 2041971
{'charpoly_factorization': [[[-49, -2, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 79}
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id: 2041972
{'charpoly_factorization': [[[-112, -8, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 83}
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id: 2041973
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 90071992580965920, 'p': 89}
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id: 2041974
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 90071992580965920, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '1568.2.a.u', 'level': 1568, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 248840000
{'hecke_orbit_code': 90071992580965920, 'n': 1, 'trace_an': 2}
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id: 248840001
{'hecke_orbit_code': 90071992580965920, 'n': 2, 'trace_an': 0}
-
id: 248840002
{'hecke_orbit_code': 90071992580965920, 'n': 3, 'trace_an': 2}
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id: 248840003
{'hecke_orbit_code': 90071992580965920, 'n': 4, 'trace_an': 0}
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id: 248840004
{'hecke_orbit_code': 90071992580965920, 'n': 5, 'trace_an': -2}
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id: 248840005
{'hecke_orbit_code': 90071992580965920, 'n': 6, 'trace_an': 0}
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id: 248840006
{'hecke_orbit_code': 90071992580965920, 'n': 7, 'trace_an': 0}
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id: 248840007
{'hecke_orbit_code': 90071992580965920, 'n': 8, 'trace_an': 0}
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id: 248840008
{'hecke_orbit_code': 90071992580965920, 'n': 9, 'trace_an': 0}
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id: 248840009
{'hecke_orbit_code': 90071992580965920, 'n': 10, 'trace_an': 0}
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id: 248840010
{'hecke_orbit_code': 90071992580965920, 'n': 11, 'trace_an': 2}
-
id: 248840011
{'hecke_orbit_code': 90071992580965920, 'n': 12, 'trace_an': 0}
-
id: 248840012
{'hecke_orbit_code': 90071992580965920, 'n': 13, 'trace_an': 0}
-
id: 248840013
{'hecke_orbit_code': 90071992580965920, 'n': 14, 'trace_an': 0}
-
id: 248840014
{'hecke_orbit_code': 90071992580965920, 'n': 15, 'trace_an': -10}
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id: 248840015
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id: 248840998
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