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mf_newforms • Show schema
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{'Nk2': 2152, 'analytic_conductor': 4.295951628744884, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [269, 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': [538, 1, [271], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 17268565565, 'field_disc_factorization': [[5, 1], [14741, 1], [234293, 1]], 'field_poly': [48, -44, -53, 49, 16, -15, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [12, -10, -87, 63, 19, -16, -1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543036954, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 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mf_hecke_cc • Show schema
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'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.1436550829287044, 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543036954, 'label': '538.2.a.e.1.5', 'level': 538, 'weight': 2}
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [7, 4, 9, 2], 'Nk2': 2152, 'analytic_conductor': 4.295951628744884, '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': [538, 1, [271], [1]], 'conrey_index': 1, 'cusp_dim': 66, 'dim': 22, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33554970, 'hecke_orbit_dims': [2, 2, 4, 7, 7], 'label': '538.2.a', 'level': 538, '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': True, 'level_primes': [2, 269], 'level_radical': 538, 'mf_dim': 69, 'mf_new_dim': 22, 'num_forms': 5, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 22, 'sturm_bound': 135, 'trace_bound': 3, 'trace_display': [0, 0, 2, -4], 'traces': [22, 0, 0, 22, 2, 2, -4, 0, 20, 4, -6, 0, 6, 4, 4, 22, -4, 0, -8, 2, -20, 4, -4, 2, 32, -8, -24, -4, -4, 0, 4, 0, -12, 4, -12, 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-100, -52, -224, 196, 24, -8, 194, -24, 68, 0, 56, -58, 180, -20, -256, 8, 80, -56, -156, 80, 92, 4, 86, -8, -108, -36, 64, -96, -20, -48, -96, -8, 186, -72, -204, 0, 180, -14, 68, -224, -210, 70, -48, -152, -148, -72, 68, -156, -36, -8, -28, -276, -44, 12, 64, -72, 92, 104, -46, 88, 208, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43877911
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014398543036954, 'source_is_minimal': True, 'source_label': '538.2.a.e.1.5', 'source_level': 538, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014398543036954, 'target_is_minimal': True, 'target_label': '538.2.a.e.1.5', 'target_level': 538, 'twist_class_label': '538.2.a.e.1.5', 'twist_class_level': 538, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43877912
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014398543036954, 'source_is_minimal': True, 'source_label': '538.2.a.e.1.5', 'source_level': 538, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58546795189375722, 'target_is_minimal': False, 'target_label': '4842.2.a.n.1.4', 'target_level': 4842, 'twist_class_label': '538.2.a.e.1.5', 'twist_class_level': 538, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43877913
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014398543036954, 'source_is_minimal': True, 'source_label': '538.2.a.e.1.5', 'source_level': 538, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525197425152208, 'target_is_minimal': False, 'target_label': '4304.2.a.h.1.3', 'target_level': 4304, 'twist_class_label': '538.2.a.e.1.5', 'twist_class_level': 538, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1019375
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 18014398543036954, 'p': 2}
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id: 1019376
{'charpoly_factorization': [[[12, -10, -87, 63, 19, -16, -1, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 3}
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id: 1019377
{'charpoly_factorization': [[[-4, 130, -109, -161, 109, -4, -7, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 5}
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id: 1019378
{'charpoly_factorization': [[[-19, 18, 137, -258, 142, -14, -6, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 7}
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id: 1019379
{'charpoly_factorization': [[[288, 992, 856, 100, -130, -33, 3, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 11}
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id: 1019380
{'charpoly_factorization': [[[4, 54, 117, -79, -71, 8, 9, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 13}
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id: 1019381
{'charpoly_factorization': [[[-22016, 28800, -10144, -160, 600, -56, -8, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 17}
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id: 1019382
{'charpoly_factorization': [[[-20, 930, 523, -243, -159, 6, 11, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 19}
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id: 1019383
{'charpoly_factorization': [[[2432, 128, -1984, -96, 328, -4, -12, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 23}
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id: 1019384
{'charpoly_factorization': [[[-27040, -3520, 8504, 1148, -550, -91, 5, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 29}
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id: 1019385
{'charpoly_factorization': [[[250907, 12318, -29227, 112, 1118, -48, -14, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 31}
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id: 1019386
{'charpoly_factorization': [[[2236, -6334, 6617, -3069, 557, 8, -13, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 37}
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id: 1019387
{'charpoly_factorization': [[[-288917, 283216, -66207, -1850, 1984, -118, -12, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 41}
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id: 1019388
{'charpoly_factorization': [[[-227616, -125152, 57704, 6544, -1888, -177, 11, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 43}
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id: 1019389
{'charpoly_factorization': [[[64896, 7040, -22272, 4112, 512, -136, -2, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 47}
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id: 1019390
{'charpoly_factorization': [[[-26988, 34744, -6267, -4543, 1045, 34, -19, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 53}
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id: 1019391
{'charpoly_factorization': [[[-146660, -110010, 10809, 12187, -993, -192, 9, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 59}
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id: 1019392
{'charpoly_factorization': [[[210068, -244198, 11313, 14299, -393, -224, 3, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 61}
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id: 1019393
{'charpoly_factorization': [[[-251936, -324816, -134232, -20132, 120, 339, 33, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 67}
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id: 1019394
{'charpoly_factorization': [[[28293, 49934, 5673, -5670, -44, 230, -28, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 71}
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id: 1019395
{'charpoly_factorization': [[[-382603, 60650, 140233, 18928, -3216, -276, 14, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 73}
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id: 1019396
{'charpoly_factorization': [[[14720, -27840, -23488, 13872, 696, -276, -2, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 79}
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id: 1019397
{'charpoly_factorization': [[[-441152, -314672, 32255, 16333, -867, -244, 7, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 83}
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id: 1019398
{'charpoly_factorization': [[[1143155, 264570, -229377, 196, 5004, -232, -18, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 89}
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id: 1019399
{'charpoly_factorization': [[[15927, 65768, 41513, 4178, -1844, -266, 4, 1], 1]], 'hecke_orbit_code': 18014398543036954, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '538.2.a.e', 'level': 538, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37917205
{'hecke_orbit_code': 18014398543036954, 'n': 1, 'trace_an': 7}
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id: 37917206
{'hecke_orbit_code': 18014398543036954, 'n': 2, 'trace_an': 7}
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id: 37917207
{'hecke_orbit_code': 18014398543036954, 'n': 3, 'trace_an': 1}
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id: 37917208
{'hecke_orbit_code': 18014398543036954, 'n': 4, 'trace_an': 7}
-
id: 37917209
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id: 37917411
{'hecke_orbit_code': 18014398543036954, 'n': 659, 'trace_an': 8}
-
id: 37917412
{'hecke_orbit_code': 18014398543036954, 'n': 661, 'trace_an': 6}
-
id: 37917413
{'hecke_orbit_code': 18014398543036954, 'n': 673, 'trace_an': 52}
-
id: 37917414
{'hecke_orbit_code': 18014398543036954, 'n': 677, 'trace_an': -33}
-
id: 37917415
{'hecke_orbit_code': 18014398543036954, 'n': 683, 'trace_an': 111}
-
id: 37917416
{'hecke_orbit_code': 18014398543036954, 'n': 691, 'trace_an': -59}
-
id: 37917417
{'hecke_orbit_code': 18014398543036954, 'n': 701, 'trace_an': -23}
-
id: 37917418
{'hecke_orbit_code': 18014398543036954, 'n': 709, 'trace_an': 65}
-
id: 37917419
{'hecke_orbit_code': 18014398543036954, 'n': 719, 'trace_an': -11}
-
id: 37917420
{'hecke_orbit_code': 18014398543036954, 'n': 727, 'trace_an': -30}
-
id: 37917421
{'hecke_orbit_code': 18014398543036954, 'n': 729, 'trace_an': -72}
-
id: 37917422
{'hecke_orbit_code': 18014398543036954, 'n': 733, 'trace_an': 3}
-
id: 37917423
{'hecke_orbit_code': 18014398543036954, 'n': 739, 'trace_an': -5}
-
id: 37917424
{'hecke_orbit_code': 18014398543036954, 'n': 743, 'trace_an': 16}
-
id: 37917425
{'hecke_orbit_code': 18014398543036954, 'n': 751, 'trace_an': 66}
-
id: 37917426
{'hecke_orbit_code': 18014398543036954, 'n': 757, 'trace_an': 19}
-
id: 37917427
{'hecke_orbit_code': 18014398543036954, 'n': 761, 'trace_an': -88}
-
id: 37917428
{'hecke_orbit_code': 18014398543036954, 'n': 769, 'trace_an': 96}
-
id: 37917429
{'hecke_orbit_code': 18014398543036954, 'n': 773, 'trace_an': 27}
-
id: 37917430
{'hecke_orbit_code': 18014398543036954, 'n': 787, 'trace_an': -69}
-
id: 37917431
{'hecke_orbit_code': 18014398543036954, 'n': 797, 'trace_an': 35}
-
id: 37917432
{'hecke_orbit_code': 18014398543036954, 'n': 809, 'trace_an': -4}
-
id: 37917433
{'hecke_orbit_code': 18014398543036954, 'n': 811, 'trace_an': 63}
-
id: 37917434
{'hecke_orbit_code': 18014398543036954, 'n': 821, 'trace_an': 1}
-
id: 37917435
{'hecke_orbit_code': 18014398543036954, 'n': 823, 'trace_an': -8}
-
id: 37917436
{'hecke_orbit_code': 18014398543036954, 'n': 827, 'trace_an': 112}
-
id: 37917437
{'hecke_orbit_code': 18014398543036954, 'n': 829, 'trace_an': -25}
-
id: 37917438
{'hecke_orbit_code': 18014398543036954, 'n': 839, 'trace_an': 122}
-
id: 37917439
{'hecke_orbit_code': 18014398543036954, 'n': 841, 'trace_an': 4}
-
id: 37917440
{'hecke_orbit_code': 18014398543036954, 'n': 853, 'trace_an': 99}
-
id: 37917441
{'hecke_orbit_code': 18014398543036954, 'n': 857, 'trace_an': 134}
-
id: 37917442
{'hecke_orbit_code': 18014398543036954, 'n': 859, 'trace_an': 1}
-
id: 37917443
{'hecke_orbit_code': 18014398543036954, 'n': 863, 'trace_an': 144}
-
id: 37917444
{'hecke_orbit_code': 18014398543036954, 'n': 877, 'trace_an': 55}
-
id: 37917445
{'hecke_orbit_code': 18014398543036954, 'n': 881, 'trace_an': -58}
-
id: 37917446
{'hecke_orbit_code': 18014398543036954, 'n': 883, 'trace_an': -25}
-
id: 37917447
{'hecke_orbit_code': 18014398543036954, 'n': 887, 'trace_an': -106}
-
id: 37917448
{'hecke_orbit_code': 18014398543036954, 'n': 907, 'trace_an': -97}
-
id: 37917449
{'hecke_orbit_code': 18014398543036954, 'n': 911, 'trace_an': 20}
-
id: 37917450
{'hecke_orbit_code': 18014398543036954, 'n': 919, 'trace_an': 168}
-
id: 37917451
{'hecke_orbit_code': 18014398543036954, 'n': 929, 'trace_an': -182}
-
id: 37917452
{'hecke_orbit_code': 18014398543036954, 'n': 937, 'trace_an': 42}
-
id: 37917453
{'hecke_orbit_code': 18014398543036954, 'n': 941, 'trace_an': -149}
-
id: 37917454
{'hecke_orbit_code': 18014398543036954, 'n': 947, 'trace_an': 179}
-
id: 37917455
{'hecke_orbit_code': 18014398543036954, 'n': 953, 'trace_an': -190}
-
id: 37917456
{'hecke_orbit_code': 18014398543036954, 'n': 961, 'trace_an': 75}
-
id: 37917457
{'hecke_orbit_code': 18014398543036954, 'n': 967, 'trace_an': 4}
-
id: 37917458
{'hecke_orbit_code': 18014398543036954, 'n': 971, 'trace_an': 1}
-
id: 37917459
{'hecke_orbit_code': 18014398543036954, 'n': 977, 'trace_an': 48}
-
id: 37917460
{'hecke_orbit_code': 18014398543036954, 'n': 983, 'trace_an': 14}
-
id: 37917461
{'hecke_orbit_code': 18014398543036954, 'n': 991, 'trace_an': -67}
-
id: 37917462
{'hecke_orbit_code': 18014398543036954, 'n': 997, 'trace_an': 23}