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mf_newforms • Show schema
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{'Nk2': 1224, 'analytic_conductor': 2.4434223018511796, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 153, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 12, 'char_parity': 1, 'char_values': [306, 12, [137, 37], [4, 3]], 'cm_discs': [], 'conrey_index': 13, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, 32, 8, 4, 1]], [7, [16, 16, 20, 8, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008092641493298, '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, 153, 14, 1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '306.2.n.c', 'level': 306, '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, 3, 17], 'level_radical': 102, 'minimal_twist': '306.2.n.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 14, 'qexp_display': 'q+(-\\zeta_{12}+\\zeta_{12}^{3})q^{2}+(2-\\zeta_{12}^{2})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '306.2.n', 'trace_display': [0, 6, -4, -8], 'trace_hash': 537599215069339441, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.841', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '43.731', 'prec': 20}, 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mf_hecke_cc • Show schema
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'conrey_index': 157, 'dual_conrey_index': 115, 'dual_embedding_index': 1, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': -0.5, 'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 3, 'hecke_orbit_code': 9008092641493298, 'label': '306.2.n.c.157.1', 'level': 306, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1224, 'analytic_conductor': 2.4434223018511796, 'char_conductor': 153, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 12, 'char_parity': 1, 'char_values': [306, 12, [137, 37], [4, 3]], 'conrey_index': 13, 'cusp_dim': 200, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 893386752306, 'hecke_orbit_dims': [4, 4, 4, 4, 24, 32], 'label': '306.2.n', 'level': 306, '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, 3, 17], 'level_radical': 102, 'mf_dim': 232, 'mf_new_dim': 72, 'num_forms': 6, 'prim_orbit_index': 14, 'relative_dim': 18, 'sturm_bound': 108, 'trace_bound': 5, 'trace_display': [0, 2, 0, 0], 'traces': [72, 0, 2, 36, 0, 2, 0, 0, 0, 0, -6, 4, 0, 0, 0, -36, 0, -8, 0, 0, 32, -6, 12, -2, 0, 0, 8, 0, 16, 0, 0, 0, -52, -6, 80, 0, 0, 28, 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mf_twists_cc • Show schema
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id: 41318895
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493298, 'source_is_minimal': True, 'source_label': '306.2.n.c.157.1', 'source_level': 306, 'target_conrey_index': 157, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008092641493298, 'target_is_minimal': True, 'target_label': '306.2.n.c.157.1', 'target_level': 306, 'twist_class_label': '306.2.n.b.13.1', 'twist_class_level': 306, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41318896
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493298, 'source_is_minimal': True, 'source_label': '306.2.n.c.157.1', 'source_level': 306, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504561733600150, 'target_is_minimal': False, 'target_label': '918.2.o.b.361.1', 'target_level': 918, 'twist_class_label': '306.2.n.b.13.1', 'twist_class_level': 306, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41318897
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493298, 'source_is_minimal': True, 'source_label': '306.2.n.c.157.1', 'source_level': 306, 'target_conrey_index': 667, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008161360970646, 'target_is_minimal': False, 'target_label': '918.2.o.c.667.1', 'target_level': 918, 'twist_class_label': '306.2.n.b.13.1', 'twist_class_level': 306, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41318898
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493298, 'source_is_minimal': True, 'source_label': '306.2.n.c.157.1', 'source_level': 306, 'target_conrey_index': 259, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122802, 'target_is_minimal': True, 'target_label': '306.2.n.b.259.1', 'target_level': 306, 'twist_class_label': '306.2.n.b.13.1', 'twist_class_level': 306, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 41318899
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493298, 'source_is_minimal': True, 'source_label': '306.2.n.c.157.1', 'source_level': 306, 'target_conrey_index': 13, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122802, 'target_is_minimal': True, 'target_label': '306.2.n.b.13.1', 'target_level': 306, 'twist_class_label': '306.2.n.b.13.1', 'twist_class_level': 306, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 41318900
{'conductor': 51, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493298, 'source_is_minimal': True, 'source_label': '306.2.n.c.157.1', 'source_level': 306, 'target_conrey_index': 523, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008161360970646, 'target_is_minimal': False, 'target_label': '918.2.o.c.523.1', 'target_level': 918, 'twist_class_label': '306.2.n.b.13.1', 'twist_class_level': 306, 'twisting_char_label': '51.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 41318901
{'conductor': 153, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493298, 'source_is_minimal': True, 'source_label': '306.2.n.c.157.1', 'source_level': 306, 'target_conrey_index': 829, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504561733600150, 'target_is_minimal': False, 'target_label': '918.2.o.b.829.1', 'target_level': 918, 'twist_class_label': '306.2.n.b.13.1', 'twist_class_level': 306, 'twisting_char_label': '153.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 41318902
{'conductor': 153, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493298, 'source_is_minimal': True, 'source_label': '306.2.n.c.157.1', 'source_level': 306, 'target_conrey_index': 115, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008092641493298, 'target_is_minimal': True, 'target_label': '306.2.n.c.115.1', 'target_level': 306, 'twist_class_label': '306.2.n.b.13.1', 'twist_class_level': 306, 'twisting_char_label': '153.115', 'twisting_conrey_index': 115, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 680700
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 2}
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id: 680701
{'charpoly_factorization': [[[3, -3, 1], 2]], 'hecke_orbit_code': 9008092641493298, 'p': 3}
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id: 680702
{'charpoly_factorization': [[[64, 32, 8, 4, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 5}
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id: 680703
{'charpoly_factorization': [[[16, 16, 20, 8, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 7}
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id: 680704
{'charpoly_factorization': [[[121, 22, 17, 8, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 11}
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id: 680705
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 13}
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id: 680706
{'charpoly_factorization': [[[289, 136, 47, 8, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 17}
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id: 680707
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9008092641493298, 'p': 19}
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id: 680708
{'charpoly_factorization': [[[144, 144, 36, 0, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 23}
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id: 680709
{'charpoly_factorization': [[[2704, 832, 164, 20, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 29}
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id: 680710
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008092641493298, 'p': 31}
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id: 680711
{'charpoly_factorization': [[[576, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 37}
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id: 680712
{'charpoly_factorization': [[[14641, 3388, 365, 26, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 41}
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id: 680713
{'charpoly_factorization': [[[27, -9, 1], 2]], 'hecke_orbit_code': 9008092641493298, 'p': 43}
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id: 680714
{'charpoly_factorization': [[[100, -10, 1], 2]], 'hecke_orbit_code': 9008092641493298, 'p': 47}
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id: 680715
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 53}
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id: 680716
{'charpoly_factorization': [[[3, 3, 1], 2]], 'hecke_orbit_code': 9008092641493298, 'p': 59}
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id: 680717
{'charpoly_factorization': [[[64, -160, 104, 4, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 61}
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id: 680718
{'charpoly_factorization': [[[3481, -472, 123, 8, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 67}
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id: 680719
{'charpoly_factorization': [[[256, 128, 32, -8, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 71}
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id: 680720
{'charpoly_factorization': [[[5041, -1846, 338, -26, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 73}
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id: 680721
{'charpoly_factorization': [[[7744, 2464, 296, 20, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 79}
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id: 680722
{'charpoly_factorization': [[[2704, 624, -4, -12, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 83}
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id: 680723
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 9008092641493298, 'p': 89}
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id: 680724
{'charpoly_factorization': [[[625, -500, 125, -10, 1], 1]], 'hecke_orbit_code': 9008092641493298, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 14, 'hecke_orbit': 3, 'label': '306.2.n.c', 'level': 306, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31583047
{'hecke_orbit_code': 9008092641493298, 'n': 1, 'trace_an': 4}
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id: 31583048
{'hecke_orbit_code': 9008092641493298, 'n': 2, 'trace_an': 0}
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id: 31583049
{'hecke_orbit_code': 9008092641493298, 'n': 3, 'trace_an': 6}
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id: 31583050
{'hecke_orbit_code': 9008092641493298, 'n': 4, 'trace_an': 2}
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id: 31583051
{'hecke_orbit_code': 9008092641493298, 'n': 5, 'trace_an': -4}
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id: 31583052
{'hecke_orbit_code': 9008092641493298, 'n': 6, 'trace_an': 0}
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id: 31583053
{'hecke_orbit_code': 9008092641493298, 'n': 7, 'trace_an': -8}
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id: 31583054
{'hecke_orbit_code': 9008092641493298, 'n': 8, 'trace_an': 0}
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id: 31583055
{'hecke_orbit_code': 9008092641493298, 'n': 9, 'trace_an': 6}
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id: 31583056
{'hecke_orbit_code': 9008092641493298, 'n': 10, 'trace_an': 8}
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id: 31583057
{'hecke_orbit_code': 9008092641493298, 'n': 11, 'trace_an': -8}
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id: 31583058
{'hecke_orbit_code': 9008092641493298, 'n': 12, 'trace_an': 0}
-
id: 31583059
{'hecke_orbit_code': 9008092641493298, 'n': 13, 'trace_an': 0}
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id: 31583060
{'hecke_orbit_code': 9008092641493298, 'n': 14, 'trace_an': 8}
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id: 31583061
{'hecke_orbit_code': 9008092641493298, 'n': 15, 'trace_an': 0}
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