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{'Nk2': 12996, 'analytic_conductor': 25.943395616713996, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [19, 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': [3249, 1, [362, 2890], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 2000, 'field_disc_factorization': [[2, 4], [5, 3]], 'field_poly': [5, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 20, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [5, 0, -5, 0, 1]], [5, [-1, 1, 1]], [13, [5, 0, -25, 0, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345190577, 'hecke_ring_generator_nbound': 2, '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, 19, 2, -1, 2, 0]], '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': True, 'label': '3249.2.a.ba', 'level': 3249, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'minimal_twist': '3249.2.a.ba', 'nf_label': '4.4.2000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-1-\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3249.2.a', 'trace_display': [0, 0, -2, -2], 'trace_hash': 582335535838919426, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.585', 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mf_hecke_cc • Show schema
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'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.1755705045849463, 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345190577, 'label': '3249.2.a.ba.1.2', 'level': 3249, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [23, 33, 41, 36], 'ALdims_eis_new': [0, 0, 8, 9], 'ALdims_eis_old': [19, 20, 12, 11], 'ALdims_old': [58, 57, 49, 44], 'Nk2': 12996, 'analytic_conductor': 25.943395616713996, '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': [3249, 1, [362, 2890], [1, 1]], 'conrey_index': 1, 'cusp_dim': 341, 'dim': 133, 'eis_dim': 79, 'eis_new_dim': 17, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33557681, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '3249.2.a', 'level': 3249, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'mf_dim': 420, 'mf_new_dim': 150, 'num_forms': 40, 'plus_dim': 59, 'prim_orbit_index': 1, 'relative_dim': 133, 'sturm_bound': 760, 'trace_bound': 91, 'trace_display': [-3, 0, 0, 2], 'traces': [133, -3, 0, 121, 0, 0, 2, -3, 0, 10, 2, 0, -6, 4, 0, 97, -6, 0, 0, 14, 0, 20, 8, 0, 93, 6, 0, 34, -4, 0, 4, 21, 0, 22, 20, 0, -20, 0, 0, 66, -16, 0, 18, -14, 0, 8, -2, 0, 75, -1, 0, -14, 10, 0, 8, 0, 0, -36, -26, 0, -20, 22, 0, 31, -36, 0, 8, 26, 0, -24, 6, 0, 2, -26, 0, 0, 12, 0, -8, 60, 0, 24, 44, 0, -28, 0, 0, 12, 14, 0, 20, 84, 0, -24, 0, 0, 10, -47, 0, -3, 6, 0, 18, -28, 0, -90, -10, 0, -42, 12, 0, 78, 8, 0, 4, -38, 0, -114, 20, 0, 67, -14, 0, -48, 18, 0, 38, -3, 0, -12, -24, 0, 0, -16, 0, 54, 10, 0, 46, 30, 0, 12, 8, 0, 26, 54, 0, -138, 30, 0, 42, 0, 0, -16, -8, 0, 2, -54, 0, 146, 20, 0, 32, -2, 0, 76, 34, 0, 29, 0, 0, 98, -20, 0, 74, 28, 0, -72, -50, 0, -36, 194, 0, -48, 34, 0, 26, -18, 0, 0, 20, 0, 14, 54, 0, 1, 16, 0, -14, 3, 0, -30, -26, 0, -2, -6, 0, -38, 0, 0, 22, -10, 0, -24, 96, 0, 28, -58, 0, -16, -44, 0, -6, -16, 0, 70, 36, 0, -124, -40, 0, -104, 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0, 136, 33, 0, 320, 48, 0, 154, -308, 0, 130, -6, 0, 156, 32, 0, 4, -84, 0, -254, -148, 0, 0, 20, 0, -110, 40, 0, 12, 478, 0, 50, 88, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48601967
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345190577, 'source_is_minimal': True, 'source_label': '3249.2.a.ba.1.2', 'source_level': 3249, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590345190577, 'target_is_minimal': True, 'target_label': '3249.2.a.ba.1.2', 'target_level': 3249, 'twist_class_label': '3249.2.a.ba.1.2', 'twist_class_level': 3249, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48601968
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345190577, 'source_is_minimal': True, 'source_label': '3249.2.a.ba.1.2', 'source_level': 3249, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 121597189972561073, 'target_is_minimal': True, 'target_label': '3249.2.a.bb.1.3', 'target_level': 3249, 'twist_class_label': '3249.2.a.ba.1.2', 'twist_class_level': 3249, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48601969
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345190577, 'source_is_minimal': True, 'source_label': '3249.2.a.ba.1.2', 'source_level': 3249, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590345190577, 'target_is_minimal': True, 'target_label': '3249.2.a.ba.1.3', 'target_level': 3249, 'twist_class_label': '3249.2.a.ba.1.2', 'twist_class_level': 3249, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48601970
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345190577, 'source_is_minimal': True, 'source_label': '3249.2.a.ba.1.2', 'source_level': 3249, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972561073, 'target_is_minimal': True, 'target_label': '3249.2.a.bb.1.2', 'target_level': 3249, 'twist_class_label': '3249.2.a.ba.1.2', 'twist_class_level': 3249, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3082625
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 2}
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id: 3082626
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 117093590345190577, 'p': 3}
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id: 3082627
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 5}
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id: 3082628
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 7}
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id: 3082629
{'charpoly_factorization': [[[-1, 4, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 11}
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id: 3082630
{'charpoly_factorization': [[[5, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 13}
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id: 3082631
{'charpoly_factorization': [[[-1, -4, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 17}
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id: 3082632
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 117093590345190577, 'p': 19}
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id: 3082633
{'charpoly_factorization': [[[31, -12, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 23}
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id: 3082634
{'charpoly_factorization': [[[2000, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 29}
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id: 3082635
{'charpoly_factorization': [[[605, 0, -65, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 31}
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id: 3082636
{'charpoly_factorization': [[[2000, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 37}
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id: 3082637
{'charpoly_factorization': [[[405, 0, -45, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 41}
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id: 3082638
{'charpoly_factorization': [[[31, 12, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 43}
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id: 3082639
{'charpoly_factorization': [[[89, 19, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 47}
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id: 3082640
{'charpoly_factorization': [[[15125, 0, -250, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 53}
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id: 3082641
{'charpoly_factorization': [[[28880, 0, -340, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 59}
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id: 3082642
{'charpoly_factorization': [[[20, 10, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 61}
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id: 3082643
{'charpoly_factorization': [[[8405, 0, -185, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 67}
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id: 3082644
{'charpoly_factorization': [[[605, 0, -85, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 71}
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id: 3082645
{'charpoly_factorization': [[[-9, 12, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 73}
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id: 3082646
{'charpoly_factorization': [[[5, 0, -170, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 79}
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id: 3082647
{'charpoly_factorization': [[[-79, -2, 1], 2]], 'hecke_orbit_code': 117093590345190577, 'p': 83}
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id: 3082648
{'charpoly_factorization': [[[80, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 89}
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id: 3082649
{'charpoly_factorization': [[[1280, 0, -160, 0, 1], 1]], 'hecke_orbit_code': 117093590345190577, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '3249.2.a.ba', 'level': 3249, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67156861
{'hecke_orbit_code': 117093590345190577, 'n': 1, 'trace_an': 4}
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id: 67156862
{'hecke_orbit_code': 117093590345190577, 'n': 2, 'trace_an': 0}
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id: 67156863
{'hecke_orbit_code': 117093590345190577, 'n': 3, 'trace_an': 0}
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id: 67156864
{'hecke_orbit_code': 117093590345190577, 'n': 4, 'trace_an': 2}
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id: 67156865
{'hecke_orbit_code': 117093590345190577, 'n': 5, 'trace_an': -2}
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id: 67156866
{'hecke_orbit_code': 117093590345190577, 'n': 6, 'trace_an': 0}
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id: 67156867
{'hecke_orbit_code': 117093590345190577, 'n': 7, 'trace_an': -2}
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id: 67156868
{'hecke_orbit_code': 117093590345190577, 'n': 8, 'trace_an': 0}
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id: 67156869
{'hecke_orbit_code': 117093590345190577, 'n': 9, 'trace_an': 0}
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id: 67156870
{'hecke_orbit_code': 117093590345190577, 'n': 10, 'trace_an': 0}
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id: 67156871
{'hecke_orbit_code': 117093590345190577, 'n': 11, 'trace_an': -8}
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id: 67156872
{'hecke_orbit_code': 117093590345190577, 'n': 12, 'trace_an': 0}
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id: 67156873
{'hecke_orbit_code': 117093590345190577, 'n': 13, 'trace_an': 0}
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id: 67156874
{'hecke_orbit_code': 117093590345190577, 'n': 14, 'trace_an': 0}
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id: 67156875
{'hecke_orbit_code': 117093590345190577, 'n': 15, 'trace_an': 0}
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id: 67156876
{'hecke_orbit_code': 117093590345190577, 'n': 16, 'trace_an': -14}
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