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{'Nk2': 8512, 'analytic_conductor': 16.992165550128465, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [19, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2128, 1, [799, 533, 913, 1009], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 21, 'field_disc_factorization': [[3, 1], [7, 1]], 'field_poly': [-5, -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, [-5, -1, 1]], [5, [-3, 1]], [11, [-3, -3, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307261520, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2128.2.a.k', 'level': 2128, '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, 7, 19], 'level_radical': 266, 'minimal_twist': '532.2.a.c', 'nf_label': '2.2.21.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}+3q^{5}-q^{7}+(2+\\beta )q^{9}+(1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2128.2.a', 'trace_display': [0, 1, 6, -2], 'trace_hash': 1060078094619377506, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.981', 'prec': 17}, 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mf_newspaces • Show schema
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{'ALdims': [6, 7, 7, 6, 7, 6, 7, 8], 'Nk2': 8512, 'analytic_conductor': 16.992165550128465, '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': [2128, 1, [799, 533, 913, 1009], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 309, 'dim': 54, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33556560, 'hecke_orbit_dims': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5], 'label': '2128.2.a', 'level': 2128, '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, 7, 19], 'level_radical': 266, 'mf_dim': 332, 'mf_new_dim': 54, 'num_forms': 22, 'plus_dim': 25, 'prim_orbit_index': 1, 'relative_dim': 54, 'sturm_bound': 640, 'trace_bound': 7, 'trace_display': [0, 0, 4, 2], 'traces': [54, 0, 0, 0, 4, 0, 2, 0, 54, 0, -8, 0, 4, 0, -24, 0, -4, 0, 0, 0, 0, 0, 16, 0, 50, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, 12, 0, 16, 0, -4, 0, 24, 0, 20, 0, -48, 0, 54, 0, -24, 0, -4, 0, 32, 0, 0, 0, 0, 0, 20, 0, 10, 0, -24, 0, 20, 0, 0, 0, -20, 0, -20, 0, 8, 0, -8, 0, -4, 0, 54, 0, 0, 0, 24, 0, 24, 0, -20, 0, 0, 0, -48, 0, 16, 0, -4, 0, -8, 0, -28, 0, -40, 0, 0, 0, -20, 0, 12, 0, 8, 0, -36, 0, -72, 0, -28, 0, 20, 0, 70, 0, 40, 0, 24, 0, -28, 0, 32, 0, 32, 0, 0, 0, -56, 0, -20, 0, -16, 0, -48, 0, -24, 0, -8, 0, 0, 0, 12, 0, 4, 0, -20, 0, 16, 0, -44, 0, -16, 0, -16, 0, -64, 0, -64, 0, 0, 0, 82, 0, 0, 0, -44, 0, 14, 0, -32, 0, -20, 0, -44, 0, 72, 0, -72, 0, -72, 0, 0, 0, 80, 0, -20, 0, 136, 0, -4, 0, -96, 0, -16, 0, 4, 0, -40, 0, 136, 0, 0, 0, 100, 0, -48, 0, 0, 0, 16, 0, 64, 0, 24, 0, 24, 0, -14, 0, 80, 0, 20, 0, -24, 0, -20, 0, 8, 0, -48, 0, 48, 0, 44, 0, 120, 0, 4, 0, 12, 0, 16, 0, -24, 0, -32, 0, 224, 0, -84, 0, 20, 0, -68, 0, 96, 0, -72, 0, 8, 0, 20, 0, -24, 0, 0, 0, 88, 0, -84, 0, 8, 0, -52, 0, -24, 0, 0, 0, 0, 0, 82, 0, -56, 0, 4, 0, -136, 0, 32, 0, 32, 0, -40, 0, 72, 0, 24, 0, -48, 0, 48, 0, -96, 0, -4, 0, 4, 0, -20, 0, -72, 0, 80, 0, -24, 0, 44, 0, -40, 0, 0, 0, -116, 0, 60, 0, 32, 0, -52, 0, -48, 0, 32, 0, 2, 0, 64, 0, -8, 0, 116, 0, -24, 0, -4, 0, -40, 0, 32, 0, -16, 0, 54, 0, 168, 0, 40, 0, 56, 0, -116, 0, 28, 0, 60, 0, 72, 0, -72, 0, -164, 0, -144, 0, 0, 0, 0, 0, 144, 0, 12, 0, -192, 0, -80, 0, 152, 0, 68, 0, 16, 0, -68, 0, -40, 0, 4, 0, 64, 0, 44, 0, -192, 0, 0, 0, 128, 0, 16, 0, -80, 0, 28, 0, -64, 0, -44, 0, -12, 0, -32, 0, 36, 0, 60, 0, -16, 0, 0, 0, -112, 0, 54, 0, -40, 0, 8, 0, -184, 0, -100, 0, -8, 0, 0, 0, 0, 0, 60, 0, 64, 0, -12, 0, 80, 0, 64, 0, -40, 0, -8, 0, -216, 0, 0, 0, 0, 0, -68, 0, 16, 0, -40, 0, 0, 0, -24, 0, -236, 0, -96, 0, -296, 0, 152, 0, 40, 0, -32, 0, -88, 0, -144, 0, 56, 0, 8, 0, -312, 0, 84, 0, -44, 0, 0, 0, 168, 0, -48, 0, 144, 0, 108, 0, 80, 0, -80, 0, -152, 0, 70, 0, -168, 0, 48, 0, -24, 0, 0, 0, -8, 0, 20, 0, -184, 0, 136, 0, 156, 0, 68, 0, 0, 0, -16, 0, 8, 0, -12, 0, 32, 0, 64, 0, 80, 0, 104, 0, 34, 0, -36, 0, -160, 0, 64, 0, 24, 0, -4, 0, 152, 0, 8, 0, 24, 0, 24, 0, -160, 0, 16, 0, -88, 0, -20, 0, 8, 0, 96, 0, -260, 0, -100, 0, -36, 0, 100, 0, 184, 0, -32, 0, 232, 0, 36, 0, 88, 0, 12, 0, 24, 0, 64, 0, -24, 0, -162, 0, -24, 0, 120, 0, -72, 0, -32, 0, -280, 0, 4, 0, 92, 0, 28, 0, -144, 0, 96, 0, 56, 0, -48, 0, -48, 0, 116, 0, -56, 0, 60, 0, 84, 0, 52, 0, 200, 0, 0, 0, 32, 0, 112, 0, -32, 0, -180, 0, 208, 0, 164, 0, 0, 0, 32, 0, 108, 0, 56, 0, -240, 0, -24, 0, -72, 0, 24, 0, 120, 0, -168, 0, -48, 0, -44, 0, 0, 0, -240, 0, 20, 0, 28, 0, 44, 0, -80, 0, -112, 0, 160, 0, 248, 0, -16, 0, -16, 0, 84, 0, -192, 0, -186, 0, 320, 0, 68, 0, -24, 0, 64, 0, -32, 0, -64, 0, -188, 0, -136, 0, -232, 0, -24, 0, -108, 0, -48, 0, -96, 0, 100, 0, 32, 0, 124, 0, 68, 0, -24, 0, 8, 0, -52, 0, 184, 0, -92, 0, -184, 0, 48, 0, -60, 0, -128, 0, 128, 0, -184, 0, -304, 0, -96, 0, -44, 0, -120, 0, -80, 0, 132, 0, 72, 0, -84, 0, 136, 0, 0, 0, -184, 0, -84, 0, -128, 0, -32, 0, -8, 0, 32, 0, -24, 0, -44, 0, 56, 0, 48, 0, 12, 0, -92, 0, 128, 0, -4, 0, 72, 0, -48, 0, 224, 0, 18, 0, 120, 0, -100, 0, -54, 0, -32, 0, -72, 0, -60, 0, 48, 0, 108, 0, 72, 0, 0, 0, 204, 0, 24, 0, 184, 0, 112, 0, -56, 0, -84, 0, -72, 0, -132, 0, -240, 0, 124, 0, 48, 0, -160, 0, 56, 0, 0, 0, -184, 0, 8, 0, -256, 0, 176, 0, 184, 0, 184, 0, -32, 0, 40, 0, -244, 0, 36, 0, 132, 0, -128, 0, 152, 0, -80, 0, 8, 0, 160, 0, 32, 0, 100, 0, -208, 0, -68, 0, 0, 0, -32, 0, 272, 0, -52, 0, 96, 0, 116, 0, 328, 0, 0, 0, -56, 0, 24, 0, 240, 0, 204, 0, 40, 0, 64, 0, 100, 0, 134, 0, 28, 0, -152, 0, -56, 0, 0, 0, 192, 0, 8, 0, -48, 0, 60, 0, 288, 0, -84, 0, -24, 0, -88, 0, 0, 0, -256, 0, -28, 0, -112, 0, 96, 0, -172, 0, 8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47049739
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261520, 'source_is_minimal': False, 'source_label': '2128.2.a.k.1.2', 'source_level': 2128, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307261520, 'target_is_minimal': False, 'target_label': '2128.2.a.k.1.2', 'target_level': 2128, 'twist_class_label': '532.2.a.c.1.1', 'twist_class_level': 532, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47049740
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261520, 'source_is_minimal': False, 'source_label': '2128.2.a.k.1.2', 'source_level': 2128, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295956, 'target_is_minimal': True, 'target_label': '532.2.a.c.1.1', 'target_level': 532, 'twist_class_label': '532.2.a.c.1.1', 'twist_class_level': 532, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47049741
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261520, 'source_is_minimal': False, 'source_label': '2128.2.a.k.1.2', 'source_level': 2128, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953602368, 'target_is_minimal': False, 'target_label': '8512.2.a.t.1.2', 'target_level': 8512, 'twist_class_label': '532.2.a.c.1.1', 'twist_class_level': 532, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47049742
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261520, 'source_is_minimal': False, 'source_label': '2128.2.a.k.1.2', 'source_level': 2128, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562008896, 'target_is_minimal': False, 'target_label': '8512.2.a.m.1.1', 'target_level': 8512, 'twist_class_label': '532.2.a.c.1.1', 'twist_class_level': 532, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47049743
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261520, 'source_is_minimal': False, 'source_label': '2128.2.a.k.1.2', 'source_level': 2128, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797782196, 'target_is_minimal': False, 'target_label': '4788.2.a.g.1.2', 'target_level': 4788, 'twist_class_label': '532.2.a.c.1.1', 'twist_class_level': 532, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47049744
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307261520, 'source_is_minimal': False, 'source_label': '2128.2.a.k.1.2', 'source_level': 2128, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543040140, 'target_is_minimal': False, 'target_label': '3724.2.a.e.1.2', 'target_level': 3724, 'twist_class_label': '532.2.a.c.1.1', 'twist_class_level': 532, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2440325
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 2}
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id: 2440326
{'charpoly_factorization': [[[-5, -1, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 3}
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id: 2440327
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 5}
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id: 2440328
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 7}
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id: 2440329
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 11}
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id: 2440330
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 13}
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id: 2440331
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 17}
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id: 2440332
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 19}
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id: 2440333
{'charpoly_factorization': [[[-21, 0, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 23}
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id: 2440334
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 29}
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id: 2440335
{'charpoly_factorization': [[[-47, 1, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 31}
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id: 2440336
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 37}
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id: 2440337
{'charpoly_factorization': [[[-3, 3, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 41}
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id: 2440338
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 43}
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id: 2440339
{'charpoly_factorization': [[[15, 12, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 47}
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id: 2440340
{'charpoly_factorization': [[[-45, 3, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 53}
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id: 2440341
{'charpoly_factorization': [[[-75, 6, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 59}
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id: 2440342
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 61}
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id: 2440343
{'charpoly_factorization': [[[-41, -5, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 67}
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id: 2440344
{'charpoly_factorization': [[[-75, -6, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 71}
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id: 2440345
{'charpoly_factorization': [[[43, -19, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 73}
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id: 2440346
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 79}
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id: 2440347
{'charpoly_factorization': [[[9, 15, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 83}
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id: 2440348
{'charpoly_factorization': [[[-12, -6, 1], 1]], 'hecke_orbit_code': 45035996307261520, 'p': 89}
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id: 2440349
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 45035996307261520, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '2128.2.a.k', 'level': 2128, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 54230803
{'hecke_orbit_code': 45035996307261520, 'n': 1, 'trace_an': 2}
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id: 54230804
{'hecke_orbit_code': 45035996307261520, 'n': 2, 'trace_an': 0}
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id: 54230805
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