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mf_newforms • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 9, 'char_parity': 1, 'char_values': [675, 9, [326, 352], [7, 9]], 'cm_discs': [], 'conrey_index': 76, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, -27, 36, -30, 18, -6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504355575169699, '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, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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-0.4847198817253644, -0.330331215414424, -0.3804401891794315], 'char_orbit_index': 12, 'conrey_index': 601, 'dual_conrey_index': 301, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 6, 'embedding_root_imag': 0.984807753012208, 'embedding_root_real': -0.17364817766693036, 'hecke_orbit': 2, 'hecke_orbit_code': 4504355575169699, 'label': '675.2.l.b.601.1', 'level': 675, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 9, 'char_parity': 1, 'char_values': [675, 9, [326, 352], [7, 9]], 'conrey_index': 76, 'cusp_dim': 504, 'dim': 324, 'eis_dim': 72, 'eis_new_dim': 36, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 755947799203, 'hecke_orbit_dims': [6, 6, 12, 30, 42, 66, 66, 96], 'label': '675.2.l', 'level': 675, 'level_is_powerful': True, '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, 5], 'level_radical': 15, 'mf_dim': 576, 'mf_new_dim': 360, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 54, 'sturm_bound': 180, 'trace_bound': 2, 'trace_display': [6, 6, 0, 6], 'traces': [324, 6, 6, 6, 0, -24, 6, 12, 0, 0, -21, 24, 6, 15, 0, -24, 15, -21, 3, 0, 12, 15, -24, 12, 0, 18, -21, 12, -30, 0, -27, -72, 6, 33, 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mf_twists_cc • Show schema
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id: 36299940
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 601, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504355575169699, 'source_is_minimal': True, 'source_label': '675.2.l.b.601.1', 'source_level': 675, 'target_conrey_index': 601, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169699, 'target_is_minimal': True, 'target_label': '675.2.l.b.601.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.301.1', 'twist_class_level': 675, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 36299941
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 601, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504355575169699, 'source_is_minimal': True, 'source_label': '675.2.l.b.601.1', 'source_level': 675, 'target_conrey_index': 574, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1374423089827, 'target_is_minimal': False, 'target_label': '675.2.u.a.574.2', 'target_level': 675, 'twist_class_label': '675.2.l.a.301.1', 'twist_class_level': 675, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36299942
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 601, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504355575169699, 'source_is_minimal': True, 'source_label': '675.2.l.b.601.1', 'source_level': 675, 'target_conrey_index': 574, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089827, 'target_is_minimal': False, 'target_label': '675.2.u.a.574.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.301.1', 'twist_class_level': 675, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 36299943
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 601, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504355575169699, 'source_is_minimal': True, 'source_label': '675.2.l.b.601.1', 'source_level': 675, 'target_conrey_index': 601, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799203, 'target_is_minimal': True, 'target_label': '675.2.l.a.601.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.301.1', 'twist_class_level': 675, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36299944
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 601, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504355575169699, 'source_is_minimal': True, 'source_label': '675.2.l.b.601.1', 'source_level': 675, 'target_conrey_index': 301, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169699, 'target_is_minimal': True, 'target_label': '675.2.l.b.301.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.301.1', 'twist_class_level': 675, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36299945
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 601, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504355575169699, 'source_is_minimal': True, 'source_label': '675.2.l.b.601.1', 'source_level': 675, 'target_conrey_index': 301, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799203, 'target_is_minimal': True, 'target_label': '675.2.l.a.301.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.301.1', 'twist_class_level': 675, 'twisting_char_label': '135.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36299946
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 601, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504355575169699, 'source_is_minimal': True, 'source_label': '675.2.l.b.601.1', 'source_level': 675, 'target_conrey_index': 274, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1374423089827, 'target_is_minimal': False, 'target_label': '675.2.u.a.274.2', 'target_level': 675, 'twist_class_label': '675.2.l.a.301.1', 'twist_class_level': 675, 'twisting_char_label': '135.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 36299947
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 601, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504355575169699, 'source_is_minimal': True, 'source_label': '675.2.l.b.601.1', 'source_level': 675, 'target_conrey_index': 274, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089827, 'target_is_minimal': False, 'target_label': '675.2.u.a.274.1', 'target_level': 675, 'twist_class_label': '675.2.l.a.301.1', 'twist_class_level': 675, 'twisting_char_label': '135.112', 'twisting_conrey_index': 112, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1194400
{'charpoly_factorization': [[[9, -27, 36, -30, 18, -6, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 2}
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id: 1194401
{'charpoly_factorization': [[[27, 0, 0, -9, 0, 0, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 3}
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id: 1194402
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4504355575169699, 'p': 5}
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id: 1194403
{'charpoly_factorization': [[[64, -192, 192, -64, 24, -6, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 7}
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id: 1194404
{'charpoly_factorization': [[[729, 729, 972, 513, 135, 18, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 11}
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id: 1194405
{'charpoly_factorization': [[[361, 171, 180, 35, -9, 0, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 13}
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id: 1194406
{'charpoly_factorization': [[[9, -27, 63, -48, 27, -6, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 17}
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id: 1194407
{'charpoly_factorization': [[[64, 288, 1200, 416, 108, 12, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 19}
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id: 1194408
{'charpoly_factorization': [[[23409, -19278, 6966, -1449, 198, -18, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 23}
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id: 1194409
{'charpoly_factorization': [[[47961, 21681, 5544, 1212, 207, 21, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 29}
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id: 1194410
{'charpoly_factorization': [[[289, -561, 237, 80, 24, 3, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 31}
-
id: 1194411
{'charpoly_factorization': [[[7921, -2403, 1263, -16, 63, -6, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 37}
-
id: 1194412
{'charpoly_factorization': [[[81, 891, 4212, 1143, 171, 18, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 41}
-
id: 1194413
{'charpoly_factorization': [[[361, -627, 42, 260, 156, 6, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 43}
-
id: 1194414
{'charpoly_factorization': [[[12321, -2997, 522, 84, 0, 6, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 47}
-
id: 1194415
{'charpoly_factorization': [[[-327, 171, -24, 1], 2]], 'hecke_orbit_code': 4504355575169699, 'p': 53}
-
id: 1194416
{'charpoly_factorization': [[[331776, -82944, 0, 576, 144, 0, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 59}
-
id: 1194417
{'charpoly_factorization': [[[1371241, -548028, 99612, -10675, 756, -36, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 61}
-
id: 1194418
{'charpoly_factorization': [[[16129, -20574, 9522, -1855, 234, -18, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 67}
-
id: 1194419
{'charpoly_factorization': [[[47961, -11826, 3573, -276, 63, -3, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 71}
-
id: 1194420
{'charpoly_factorization': [[[1, -3, 15, 20, 33, 6, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 73}
-
id: 1194421
{'charpoly_factorization': [[[273529, -76881, -924, 782, 204, 12, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 79}
-
id: 1194422
{'charpoly_factorization': [[[29241, 10773, 23166, 1368, -72, -18, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 83}
-
id: 1194423
{'charpoly_factorization': [[[2601, 3672, 5031, 318, 81, -3, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 89}
-
id: 1194424
{'charpoly_factorization': [[[237169, 10227, 3579, -424, -42, -3, 1], 1]], 'hecke_orbit_code': 4504355575169699, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 2, 'label': '675.2.l.b', 'level': 675, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 23831179
{'hecke_orbit_code': 4504355575169699, 'n': 1, 'trace_an': 6}
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id: 23831180
{'hecke_orbit_code': 4504355575169699, 'n': 2, 'trace_an': 6}
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id: 23831181
{'hecke_orbit_code': 4504355575169699, 'n': 3, 'trace_an': 0}
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id: 23831182
{'hecke_orbit_code': 4504355575169699, 'n': 4, 'trace_an': 0}
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id: 23831183
{'hecke_orbit_code': 4504355575169699, 'n': 5, 'trace_an': 0}
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id: 23831184
{'hecke_orbit_code': 4504355575169699, 'n': 6, 'trace_an': 0}
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id: 23831185
{'hecke_orbit_code': 4504355575169699, 'n': 7, 'trace_an': 6}
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id: 23831186
{'hecke_orbit_code': 4504355575169699, 'n': 8, 'trace_an': -6}
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id: 23831187
{'hecke_orbit_code': 4504355575169699, 'n': 9, 'trace_an': 0}
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id: 23831188
{'hecke_orbit_code': 4504355575169699, 'n': 10, 'trace_an': 0}
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id: 23831189
{'hecke_orbit_code': 4504355575169699, 'n': 11, 'trace_an': -18}
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id: 23831190
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