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{'Nk2': 4700, 'analytic_conductor': 9.382422237500444, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [47, 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': [1175, 1, [377, 851], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -3, 0, 1]], [11, [-3, 0, 3, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543037591, 'hecke_ring_generator_nbound': 2, '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': True, 'label': '1175.2.a.e', 'level': 1175, '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': [5, 47], 'level_radical': 235, 'minimal_twist': '1175.2.a.d', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{2}q^{3}+\\beta _{2}q^{4}+(-1-\\beta _{1}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1175.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2137180260752099406, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.691', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '18.902', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.194', 'prec': 17}, {'__RealLiteral__': 0, 'data': '196.353', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, 'traces': [3, 0, 0, 0, 0, -3, 0, 3, -3, 0, -3, -6, 0, 3, 0, -6, -3, 3, -6, 0, -6, -3, 0, 3, 0, -9, 3, 6, -6, 0, -9, -9, 6, -3, 0, -3, -3, 6, 0, 0, -12, -3, 0, -6, 0, -6, -3, 15, -15, 0, -3, 0, 12, 9, 0, -3, -3, -3, -9, 0, -18, -18, -3, -3, 0, 6, 0, 3, 3, 0, -6, -6, 3, 15, 0, 3, -6, 9, -15, 0, -9, -6, -9, 3, 0, -9, -3, 0, 0, 0, 0, -3, 0, 0, 0, 3, 9, 3, 6, 0, 0, 6, 0, 9, 0, 9, 6, 18, -24, 0, 6, -15, -18, 0, 0, 3, -9, -9, 3, 0, -24, -6, -15, 0, 0, 0, 27, 3, 0, 0, 21, 3, 3, 3, 0, 0, 24, 6, -9, 0, 0, 30, 0, 18, 0, 9, 3, -6, 0, 0, -9, -12, -3, -6, 0, 9, 3, 15, -9, 0, -3, -21, -27, 15, 0, 3, 24, -3, -21, 0, 9, 0, 15, 9, 0, 21, -9, 3, 15, 0, -3, -9, 12, 6, 0, 27, 0, 0, 18, 0, 18, -6, -21, 27, 0, -3, -30, -3, 0, 0, 21, 48, 3, 12, 0, 12, -3, -9, 3, 0, 15, 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mf_newspaces • Show schema
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{'ALdims': [10, 25, 24, 14], 'Nk2': 4700, 'analytic_conductor': 9.382422237500444, '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': [1175, 1, [377, 851], [1, 1]], 'conrey_index': 1, 'cusp_dim': 115, 'dim': 73, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 33555607, 'hecke_orbit_dims': [1, 1, 1, 3, 3, 4, 5, 7, 11, 11, 13, 13], 'label': '1175.2.a', 'level': 1175, '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': [5, 47], 'level_radical': 235, 'mf_dim': 126, 'mf_new_dim': 73, 'num_forms': 12, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 73, 'sturm_bound': 240, 'trace_bound': 11, 'trace_display': [2, 4, 0, 4], 'traces': [73, 2, 4, 76, 0, 0, 4, 6, 79, 0, 6, 17, -2, -5, 0, 82, -4, 1, 16, 0, 20, -4, 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mf_twists_cc • Show schema
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id: 43888038
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543037591, 'source_is_minimal': True, 'source_label': '1175.2.a.e.1.1', 'source_level': 1175, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037591, 'target_is_minimal': True, 'target_label': '1175.2.a.e.1.1', 'target_level': 1175, 'twist_class_label': '1175.2.a.d.1.3', 'twist_class_level': 1175, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43888039
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543037591, 'source_is_minimal': True, 'source_label': '1175.2.a.e.1.1', 'source_level': 1175, 'target_conrey_index': 424, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620567, 'target_is_minimal': False, 'target_label': '1175.2.c.d.424.2', 'target_level': 1175, 'twist_class_label': '1175.2.a.d.1.3', 'twist_class_level': 1175, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43888040
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543037591, 'source_is_minimal': True, 'source_label': '1175.2.a.e.1.1', 'source_level': 1175, 'target_conrey_index': 424, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510936354620567, 'target_is_minimal': False, 'target_label': '1175.2.c.d.424.5', 'target_level': 1175, 'twist_class_label': '1175.2.a.d.1.3', 'twist_class_level': 1175, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43888041
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543037591, 'source_is_minimal': True, 'source_label': '1175.2.a.e.1.1', 'source_level': 1175, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510798915667095, 'target_is_minimal': True, 'target_label': '1175.2.a.d.1.3', 'target_level': 1175, 'twist_class_label': '1175.2.a.d.1.3', 'twist_class_level': 1175, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1743850
{'charpoly_factorization': [[[-1, -3, 0, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 2}
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id: 1743851
{'charpoly_factorization': [[[-1, -3, 0, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 3}
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id: 1743852
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 18014398543037591, 'p': 5}
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id: 1743853
{'charpoly_factorization': [[[1, -3, 0, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 7}
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id: 1743854
{'charpoly_factorization': [[[-3, 0, 3, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 11}
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id: 1743855
{'charpoly_factorization': [[[-9, -9, 0, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 13}
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id: 1743856
{'charpoly_factorization': [[[-3, 0, 3, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 17}
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id: 1743857
{'charpoly_factorization': [[[1, 9, 6, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 19}
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id: 1743858
{'charpoly_factorization': [[[1, -3, 0, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 23}
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id: 1743859
{'charpoly_factorization': [[[1, 9, 6, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 29}
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id: 1743860
{'charpoly_factorization': [[[-153, -9, 9, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 31}
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id: 1743861
{'charpoly_factorization': [[[51, -36, 3, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 37}
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id: 1743862
{'charpoly_factorization': [[[-73, 9, 12, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 41}
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id: 1743863
{'charpoly_factorization': [[[-9, -9, 0, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 43}
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id: 1743864
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 18014398543037591, 'p': 47}
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id: 1743865
{'charpoly_factorization': [[[-37, 39, -12, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 53}
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id: 1743866
{'charpoly_factorization': [[[-81, 0, 9, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 59}
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id: 1743867
{'charpoly_factorization': [[[136, 96, 18, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 61}
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id: 1743868
{'charpoly_factorization': [[[-107, -57, 0, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 67}
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id: 1743869
{'charpoly_factorization': [[[-267, -63, 6, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 71}
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id: 1743870
{'charpoly_factorization': [[[53, -24, -3, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 73}
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id: 1743871
{'charpoly_factorization': [[[37, 54, 15, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 79}
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id: 1743872
{'charpoly_factorization': [[[19, 24, 9, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 83}
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id: 1743873
{'charpoly_factorization': [[[-323, -111, 0, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 89}
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id: 1743874
{'charpoly_factorization': [[[1431, -216, -9, 1], 1]], 'hecke_orbit_code': 18014398543037591, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '1175.2.a.e', 'level': 1175, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 38042335
{'hecke_orbit_code': 18014398543037591, 'n': 1, 'trace_an': 3}
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id: 38042336
{'hecke_orbit_code': 18014398543037591, 'n': 2, 'trace_an': 0}
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id: 38042337
{'hecke_orbit_code': 18014398543037591, 'n': 3, 'trace_an': 0}
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id: 38042338
{'hecke_orbit_code': 18014398543037591, 'n': 4, 'trace_an': 0}
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id: 38042339
{'hecke_orbit_code': 18014398543037591, 'n': 5, 'trace_an': 0}
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id: 38042340
{'hecke_orbit_code': 18014398543037591, 'n': 6, 'trace_an': -3}
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id: 38042341
{'hecke_orbit_code': 18014398543037591, 'n': 7, 'trace_an': 0}
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id: 38042342
{'hecke_orbit_code': 18014398543037591, 'n': 8, 'trace_an': 3}
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id: 38042343
{'hecke_orbit_code': 18014398543037591, 'n': 9, 'trace_an': -3}
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id: 38042344
{'hecke_orbit_code': 18014398543037591, 'n': 10, 'trace_an': 0}
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id: 38042345
{'hecke_orbit_code': 18014398543037591, 'n': 11, 'trace_an': -3}
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id: 38042346
{'hecke_orbit_code': 18014398543037591, 'n': 12, 'trace_an': -6}
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id: 38042347
{'hecke_orbit_code': 18014398543037591, 'n': 13, 'trace_an': 0}
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id: 38042348
{'hecke_orbit_code': 18014398543037591, 'n': 14, 'trace_an': 3}
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id: 38042349
{'hecke_orbit_code': 18014398543037591, 'n': 15, 'trace_an': 0}
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id: 38042350
{'hecke_orbit_code': 18014398543037591, 'n': 16, 'trace_an': -6}
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id: 38042351
{'hecke_orbit_code': 18014398543037591, 'n': 17, 'trace_an': -3}
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id: 38042352
{'hecke_orbit_code': 18014398543037591, 'n': 18, 'trace_an': 3}
-
id: 38042353
{'hecke_orbit_code': 18014398543037591, 'n': 19, 'trace_an': -6}
-
id: 38042354
{'hecke_orbit_code': 18014398543037591, 'n': 20, 'trace_an': 0}
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id: 38042355
{'hecke_orbit_code': 18014398543037591, 'n': 21, 'trace_an': -6}
-
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