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{'Nk2': 4232, 'analytic_conductor': 8.448172533851464, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [23, 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': [1058, 1, [5], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 819879542784, 'field_disc_factorization': [[2, 16], [3, 6], [131, 2]], 'field_poly': [-146, 532, -298, -440, 151, 80, -22, -4, 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': 1, 'hecke_cutters': [[3, [22, 10, -9, -2, 1]], [5, [144, 0, -1584, 0, 417, 0, -36, 0, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189371938, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1058.2.a.n', 'level': 1058, '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, 23], 'level_radical': 46, 'minimal_twist': '1058.2.a.n', 'nf_label': '8.8.819879542784.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta _{5}q^{3}+q^{4}+(\\beta _{2}+\\beta _{4})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1058.2.a', 'trace_display': [8, 4, 0, 0], 'trace_hash': 271759052231875350, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.116', 'prec': 17}, 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5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.4437680296685397, 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189371938, 'label': '1058.2.a.n.1.5', 'level': 1058, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 12, 15, 7], 'Nk2': 4232, 'analytic_conductor': 8.448172533851464, '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': [1058, 1, [5], [1]], 'conrey_index': 1, 'cusp_dim': 115, 'dim': 43, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33555490, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 4, 5, 5, 5, 5, 8], 'label': '1058.2.a', 'level': 1058, '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, 23], 'level_radical': 46, 'mf_dim': 162, 'mf_new_dim': 43, 'num_forms': 14, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 43, 'sturm_bound': 276, 'trace_bound': 5, 'trace_display': [1, 0, -4, 4], 'traces': [43, 1, 0, 43, -4, 0, 4, 1, 47, 4, -2, 0, 2, -4, 0, 43, 2, -3, 2, -4, 0, 2, 0, 0, 33, -2, 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-40, -4, -112, 0, -104, 0, 254, -36, 0, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47626597
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189371938, 'source_is_minimal': True, 'source_label': '1058.2.a.n.1.5', 'source_level': 1058, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58546795189371938, 'target_is_minimal': True, 'target_label': '1058.2.a.n.1.5', 'target_level': 1058, 'twist_class_label': '1058.2.a.n.1.5', 'twist_class_level': 1058, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47626598
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189371938, 'source_is_minimal': True, 'source_label': '1058.2.a.n.1.5', 'source_level': 1058, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 252201579166311730, 'target_is_minimal': False, 'target_label': '9522.2.a.ce.1.8', 'target_level': 9522, 'twist_class_label': '1058.2.a.n.1.5', 'twist_class_level': 1058, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47626599
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189371938, 'source_is_minimal': True, 'source_label': '1058.2.a.n.1.5', 'source_level': 1058, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 238690780284199184, 'target_is_minimal': False, 'target_label': '8464.2.a.cb.1.3', 'target_level': 8464, 'twist_class_label': '1058.2.a.n.1.5', 'twist_class_level': 1058, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47626600
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189371938, 'source_is_minimal': True, 'source_label': '1058.2.a.n.1.5', 'source_level': 1058, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 58546795189371938, 'target_is_minimal': True, 'target_label': '1058.2.a.n.1.6', 'target_level': 1058, 'twist_class_label': '1058.2.a.n.1.5', 'twist_class_level': 1058, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 47626601
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189371938, 'source_is_minimal': True, 'source_label': '1058.2.a.n.1.5', 'source_level': 1058, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 252201579166311730, 'target_is_minimal': False, 'target_label': '9522.2.a.ce.1.1', 'target_level': 9522, 'twist_class_label': '1058.2.a.n.1.5', 'twist_class_level': 1058, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 47626602
{'conductor': 92, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189371938, 'source_is_minimal': True, 'source_label': '1058.2.a.n.1.5', 'source_level': 1058, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 238690780284199184, 'target_is_minimal': False, 'target_label': '8464.2.a.cb.1.4', 'target_level': 8464, 'twist_class_label': '1058.2.a.n.1.5', 'twist_class_level': 1058, 'twisting_char_label': '92.91', 'twisting_conrey_index': 91, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1643350
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 58546795189371938, 'p': 2}
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id: 1643351
{'charpoly_factorization': [[[22, 10, -9, -2, 1], 2]], 'hecke_orbit_code': 58546795189371938, 'p': 3}
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id: 1643352
{'charpoly_factorization': [[[144, 0, -1584, 0, 417, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 5}
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id: 1643353
{'charpoly_factorization': [[[7744, 0, -3968, 0, 660, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 7}
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id: 1643354
{'charpoly_factorization': [[[-6, 0, 1], 4]], 'hecke_orbit_code': 58546795189371938, 'p': 11}
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id: 1643355
{'charpoly_factorization': [[[-48, 48, -3, -6, 1], 2]], 'hecke_orbit_code': 58546795189371938, 'p': 13}
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id: 1643356
{'charpoly_factorization': [[[125316, 0, -32940, 0, 2901, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 17}
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id: 1643357
{'charpoly_factorization': [[[21316, 0, -8372, 0, 1077, 0, -56, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 19}
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id: 1643358
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 58546795189371938, 'p': 23}
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id: 1643359
{'charpoly_factorization': [[[-264, -252, -63, 0, 1], 2]], 'hecke_orbit_code': 58546795189371938, 'p': 29}
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id: 1643360
{'charpoly_factorization': [[[-12, 0, 1], 4]], 'hecke_orbit_code': 58546795189371938, 'p': 31}
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id: 1643361
{'charpoly_factorization': [[[7744, 0, -3968, 0, 660, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 37}
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id: 1643362
{'charpoly_factorization': [[[384, 144, -51, -6, 1], 2]], 'hecke_orbit_code': 58546795189371938, 'p': 41}
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id: 1643363
{'charpoly_factorization': [[[30976, 0, -25280, 0, 5553, 0, -164, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 43}
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id: 1643364
{'charpoly_factorization': [[[-552, -384, -54, 6, 1], 2]], 'hecke_orbit_code': 58546795189371938, 'p': 47}
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id: 1643365
{'charpoly_factorization': [[[82944, 0, -50112, 0, 4833, 0, -132, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 53}
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id: 1643366
{'charpoly_factorization': [[[6, -6, -33, -12, 1], 2]], 'hecke_orbit_code': 58546795189371938, 'p': 59}
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id: 1643367
{'charpoly_factorization': [[[183439936, 0, -8469872, 0, 112185, 0, -572, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 61}
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id: 1643368
{'charpoly_factorization': [[[38416, 0, -22736, 0, 3249, 0, -116, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 67}
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id: 1643369
{'charpoly_factorization': [[[15864, -744, -246, 6, 1], 2]], 'hecke_orbit_code': 58546795189371938, 'p': 71}
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id: 1643370
{'charpoly_factorization': [[[1293, -270, -162, -6, 1], 2]], 'hecke_orbit_code': 58546795189371938, 'p': 73}
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id: 1643371
{'charpoly_factorization': [[[22429696, 0, -2395136, 0, 59664, 0, -464, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 79}
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id: 1643372
{'charpoly_factorization': [[[69696, 0, -23184, 0, 2289, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 83}
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id: 1643373
{'charpoly_factorization': [[[527076, 0, -248292, 0, 27237, 0, -360, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 89}
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id: 1643374
{'charpoly_factorization': [[[662596, 0, -395108, 0, 16317, 0, -224, 0, 1], 1]], 'hecke_orbit_code': 58546795189371938, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '1058.2.a.n', 'level': 1058, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 58260763
{'hecke_orbit_code': 58546795189371938, 'n': 1, 'trace_an': 8}
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id: 58260764
{'hecke_orbit_code': 58546795189371938, 'n': 2, 'trace_an': 8}
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id: 58260765
{'hecke_orbit_code': 58546795189371938, 'n': 3, 'trace_an': 4}
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id: 58260766
{'hecke_orbit_code': 58546795189371938, 'n': 4, 'trace_an': 8}
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id: 58260767
{'hecke_orbit_code': 58546795189371938, 'n': 5, 'trace_an': 0}
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id: 58260768
{'hecke_orbit_code': 58546795189371938, 'n': 6, 'trace_an': 4}
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id: 58260769
{'hecke_orbit_code': 58546795189371938, 'n': 7, 'trace_an': 0}
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id: 58260770
{'hecke_orbit_code': 58546795189371938, 'n': 8, 'trace_an': 8}
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id: 58260771
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