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mf_newforms • Show schema
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{'Nk2': 4788, 'analytic_conductor': 9.558093121947262, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1197, 3, [533, 514, 1009], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 172, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -2, 5, 2, 1]], [5, [1, -1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015017018328237, 'hecke_ring_generator_nbound': 4, '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, 7, 3, 1, 3, 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': False, 'label': '1197.2.j.e', 'level': 1197, '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': [3, 7, 19], 'level_radical': 399, 'minimal_twist': '133.2.f.c', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{1}-\\beta _{2})q^{2}+(-2\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1197.2.j', 'trace_display': [-2, 0, 2, -2], 'trace_hash': 389490780408722404, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.861', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.749', 'prec': 17}, {'__RealLiteral__': 0, 'data': '55.258', 'prec': 20}, {'__RealLiteral__': 0, 'data': '41.601', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1374.752', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, 'traces': [4, -2, 0, -2, 2, 0, -2, 12, 0, 2, 2, 0, 8, -14, 0, -6, -8, 0, 2, -4, 0, 4, -14, 0, 8, 8, 0, 4, 32, 0, 4, 6, 0, 16, 2, 0, -4, 2, 0, 6, 24, 0, 4, -6, 0, -10, -6, 0, 10, -16, 0, 20, 0, 0, 4, 6, 0, -12, 8, 0, -18, -32, 0, -28, 4, 0, -8, -8, 0, -4, 40, 0, -2, -24, 0, -4, -4, 0, 0, 6, 0, -4, -20, 0, -16, -22, 0, 2, -20, 0, -40, 12, 0, -10, -2, 0, -24, -20, 0, 8, 14, 0, 12, 0, 0, 24, -8, 0, 8, 2, 0, -6, -16, 0, 14, -8, 0, -32, 16, 0, 16, -26, 0, 28, 36, 0, 0, 10, 0, -8, 24, 0, 2, 0, 0, -24, -34, 0, 4, -22, 0, -32, 16, 0, 16, 84, 0, 88, -6, 0, 12, 6, 0, -2, 8, 0, -18, -4, 0, 12, -2, 0, -22, 4, 0, 22, -24, 0, 36, 8, 0, -42, 8, 0, -16, -12, 0, -24, -4, 0, 0, 20, 0, -38, 4, 0, 8, 28, 0, 4, 14, 0, 4, 4, 0, 58, -52, 0, -18, 24, 0, -92, -28, 0, 12, 12, 0, -12, 4, 0, -16, -24, 0, -36, 2, 0, -8, -48, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 1.224744871391589, 'embedding_root_real': -0.7071067811865476, 'hecke_orbit': 5, 'hecke_orbit_code': 18015017018328237, 'label': '1197.2.j.e.856.1', 'level': 1197, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 4788, 'analytic_conductor': 9.558093121947262, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1197, 3, [533, 514, 1009], [3, 2, 3]], 'conrey_index': 172, 'cusp_dim': 304, 'dim': 120, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 618508846253, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 8, 14, 16, 16, 24], 'label': '1197.2.j', 'level': 1197, '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': [3, 7, 19], 'level_radical': 399, 'mf_dim': 336, 'mf_new_dim': 120, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 60, 'sturm_bound': 320, 'trace_bound': 5, 'trace_display': [-2, 0, 5, 3], 'traces': [120, -2, 0, -62, 5, 0, 3, 12, 0, -4, 1, 0, 0, 18, 0, -58, 6, 0, -4, -48, 0, 40, -6, 0, -71, 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mf_twists_cc • Show schema
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id: 44439979
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 856, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015017018328237, 'target_is_minimal': False, 'target_label': '1197.2.j.e.856.1', 'target_level': 1197, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44439980
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 58, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679237, 'target_is_minimal': True, 'target_label': '133.2.f.c.58.2', 'target_level': 133, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44439981
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 153122387364159675, 'target_is_minimal': False, 'target_label': '8379.2.a.bi.1.2', 'target_level': 8379, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44439982
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 172, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015017018328237, 'target_is_minimal': False, 'target_label': '1197.2.j.e.172.1', 'target_level': 1197, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44439983
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186246271163, 'target_is_minimal': False, 'target_label': '8379.2.a.bl.1.2', 'target_level': 8379, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44439984
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407843, 'target_is_minimal': False, 'target_label': '931.2.a.f.1.1', 'target_level': 931, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44439985
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037347, 'target_is_minimal': False, 'target_label': '931.2.a.e.1.1', 'target_level': 931, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44439986
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 39, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679237, 'target_is_minimal': True, 'target_label': '133.2.f.c.39.2', 'target_level': 133, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44439987
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 704, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029140649903011, 'target_is_minimal': False, 'target_label': '931.2.f.i.704.2', 'target_level': 931, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 44439988
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015017018328237, 'source_is_minimal': False, 'source_label': '1197.2.j.e.856.1', 'source_level': 1197, 'target_conrey_index': 324, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029140649903011, 'target_is_minimal': False, 'target_label': '931.2.f.i.324.2', 'target_level': 931, 'twist_class_label': '133.2.f.c.39.2', 'twist_class_level': 133, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5186050
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 2}
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id: 5186051
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015017018328237, 'p': 3}
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id: 5186052
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 5}
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id: 5186053
{'charpoly_factorization': [[[49, 14, -3, 2, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 7}
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id: 5186054
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 11}
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id: 5186055
{'charpoly_factorization': [[[-14, -4, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 13}
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id: 5186056
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 17}
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id: 5186057
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 19}
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id: 5186058
{'charpoly_factorization': [[[2209, 658, 149, 14, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 23}
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id: 5186059
{'charpoly_factorization': [[[62, -16, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 29}
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id: 5186060
{'charpoly_factorization': [[[196, 56, 30, -4, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 31}
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id: 5186061
{'charpoly_factorization': [[[2116, -184, 62, 4, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 37}
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id: 5186062
{'charpoly_factorization': [[[28, -12, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 41}
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id: 5186063
{'charpoly_factorization': [[[-49, -2, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 43}
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id: 5186064
{'charpoly_factorization': [[[49, 42, 29, 6, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 47}
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id: 5186065
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 53}
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id: 5186066
{'charpoly_factorization': [[[64, -64, 56, -8, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 59}
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id: 5186067
{'charpoly_factorization': [[[5329, 1314, 251, 18, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 61}
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id: 5186068
{'charpoly_factorization': [[[64, 64, 56, 8, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 67}
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id: 5186069
{'charpoly_factorization': [[[82, -20, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 71}
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id: 5186070
{'charpoly_factorization': [[[39601, -398, 203, 2, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 73}
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id: 5186071
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 79}
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id: 5186072
{'charpoly_factorization': [[[7, 10, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 83}
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id: 5186073
{'charpoly_factorization': [[[9604, 1960, 302, 20, 1], 1]], 'hecke_orbit_code': 18015017018328237, 'p': 89}
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id: 5186074
{'charpoly_factorization': [[[28, 12, 1], 2]], 'hecke_orbit_code': 18015017018328237, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 5, 'label': '1197.2.j.e', 'level': 1197, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72620670
{'hecke_orbit_code': 18015017018328237, 'n': 1, 'trace_an': 4}
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id: 72620671
{'hecke_orbit_code': 18015017018328237, 'n': 2, 'trace_an': -2}
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id: 72620672
{'hecke_orbit_code': 18015017018328237, 'n': 3, 'trace_an': 0}
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id: 72620673
{'hecke_orbit_code': 18015017018328237, 'n': 4, 'trace_an': -2}
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id: 72620674
{'hecke_orbit_code': 18015017018328237, 'n': 5, 'trace_an': 2}
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id: 72620675
{'hecke_orbit_code': 18015017018328237, 'n': 6, 'trace_an': 0}
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id: 72620676
{'hecke_orbit_code': 18015017018328237, 'n': 7, 'trace_an': -2}
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id: 72620677
{'hecke_orbit_code': 18015017018328237, 'n': 8, 'trace_an': 12}
-
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