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mf_newforms • Show schema
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{'Nk2': 5520, 'analytic_conductor': 11.019355478936694, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1380, 2, [691, 461, 277, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 829, 'conrey_indexes': [829], 'dim': 14, 'field_disc': -996547971414472601370624, 'field_disc_factorization': [[-1, 1], [2, 22], [3, 4], [7, 4], [37, 2], [29873, 2]], 'field_poly': [4, 0, 772, 0, 3740, 0, 3596, 0, 1441, 0, 283, 0, 27, 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': [[7, [5776, 0, 166704, 0, 178488, 0, 72984, 0, 14065, 0, 1323, 0, 59, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258309988, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 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mf_hecke_cc • Show schema
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-0.2077160294280622], 'char_orbit_index': 6, 'conrey_index': 829, 'dual_conrey_index': 829, 'dual_embedding_index': 11, 'dual_embedding_m': 11, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': -2.0468954588464436, 'embedding_root_real': 0.0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258309988, 'label': '1380.2.f.b.829.4', 'level': 1380, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5520, 'analytic_conductor': 11.019355478936694, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1380, 2, [691, 461, 277, 1201], [2, 2, 1, 2]], 'conrey_index': 829, 'cusp_dim': 276, 'dim': 20, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 343630939492, 'hecke_orbit_dims': [6, 14], 'label': '1380.2.f', 'level': 1380, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 300, 'mf_new_dim': 20, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 20, 'sturm_bound': 576, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [20, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, -8, 0, 0, 0, -4, 0, 0, 0, -12, 0, -20, 0, 0, 0, -12, 0, 0, 0, 8, 0, 36, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 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mf_twists_cc • Show schema
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id: 35252598
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503943258309988, 'source_is_minimal': True, 'source_label': '1380.2.f.b.829.4', 'source_level': 1380, 'target_conrey_index': 829, 'target_dim': 14, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943258309988, 'target_is_minimal': True, 'target_label': '1380.2.f.b.829.4', 'target_level': 1380, 'twist_class_label': '1380.2.f.b.829.4', 'twist_class_level': 1380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35252599
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503943258309988, 'source_is_minimal': True, 'source_label': '1380.2.f.b.829.4', 'source_level': 1380, 'target_conrey_index': 829, 'target_dim': 14, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007542885683244, 'target_is_minimal': False, 'target_label': '4140.2.f.c.829.7', 'target_level': 4140, 'twist_class_label': '1380.2.f.b.829.4', 'twist_class_level': 1380, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35252600
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503943258309988, 'source_is_minimal': True, 'source_label': '1380.2.f.b.829.4', 'source_level': 1380, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 126100789599935220, 'target_is_minimal': False, 'target_label': '6900.2.a.bc.1.4', 'target_level': 6900, 'twist_class_label': '1380.2.f.b.829.4', 'twist_class_level': 1380, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35252601
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503943258309988, 'source_is_minimal': True, 'source_label': '1380.2.f.b.829.4', 'source_level': 1380, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 130604389227305716, 'target_is_minimal': False, 'target_label': '6900.2.a.bd.1.4', 'target_level': 6900, 'twist_class_label': '1380.2.f.b.829.4', 'twist_class_level': 1380, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35252602
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503943258309988, 'source_is_minimal': True, 'source_label': '1380.2.f.b.829.4', 'source_level': 1380, 'target_conrey_index': 829, 'target_dim': 14, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4503943258309988, 'target_is_minimal': True, 'target_label': '1380.2.f.b.829.11', 'target_level': 1380, 'twist_class_label': '1380.2.f.b.829.4', 'twist_class_level': 1380, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35252603
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503943258309988, 'source_is_minimal': True, 'source_label': '1380.2.f.b.829.4', 'source_level': 1380, 'target_conrey_index': 829, 'target_dim': 14, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007542885683244, 'target_is_minimal': False, 'target_label': '4140.2.f.c.829.8', 'target_level': 4140, 'twist_class_label': '1380.2.f.b.829.4', 'twist_class_level': 1380, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1909300
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 4503943258309988, 'p': 2}
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id: 1909301
{'charpoly_factorization': [[[1, 0, 1], 7]], 'hecke_orbit_code': 4503943258309988, 'p': 3}
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id: 1909302
{'charpoly_factorization': [[[78125, 0, 9375, 5000, -1875, 800, 95, -144, 19, 32, -15, 8, 3, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 5}
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id: 1909303
{'charpoly_factorization': [[[5776, 0, 166704, 0, 178488, 0, 72984, 0, 14065, 0, 1323, 0, 59, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 7}
-
id: 1909304
{'charpoly_factorization': [[[9216, -4608, -2112, 1200, 62, -64, 0, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 11}
-
id: 1909305
{'charpoly_factorization': [[[6071296, 0, 12337152, 0, 5286784, 0, 958912, 0, 88004, 0, 4268, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 13}
-
id: 1909306
{'charpoly_factorization': [[[10000, 0, 6370864, 0, 23376664, 0, 4556280, 0, 323441, 0, 10683, 0, 167, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 17}
-
id: 1909307
{'charpoly_factorization': [[[-36680, -35928, -2216, 4108, 158, -118, -2, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 19}
-
id: 1909308
{'charpoly_factorization': [[[1, 0, 1], 7]], 'hecke_orbit_code': 4503943258309988, 'p': 23}
-
id: 1909309
{'charpoly_factorization': [[[-12272, 20976, 6504, -1792, -595, 17, 15, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 29}
-
id: 1909310
{'charpoly_factorization': [[[54720, -23616, -13920, 4248, 499, -141, -3, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 31}
-
id: 1909311
{'charpoly_factorization': [[[16126968064, 0, 4925021696, 0, 590900192, 0, 36366992, 0, 1247449, 0, 24043, 0, 243, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 37}
-
id: 1909312
{'charpoly_factorization': [[[15248, -45552, 41576, -12896, 1185, 103, -23, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 41}
-
id: 1909313
{'charpoly_factorization': [[[389193984, 0, 483577344, 0, 194891904, 0, 29281296, 0, 1720720, 0, 37928, 0, 336, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 43}
-
id: 1909314
{'charpoly_factorization': [[[1973013529600, 0, 304913816576, 0, 18562826624, 0, 577880384, 0, 10016260, 0, 97288, 0, 492, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 47}
-
id: 1909315
{'charpoly_factorization': [[[374345104, 0, 274681456, 0, 76576024, 0, 10169496, 0, 662233, 0, 19775, 0, 251, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 53}
-
id: 1909316
{'charpoly_factorization': [[[-1483200, -308160, 81312, 16872, -1217, -255, 5, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 59}
-
id: 1909317
{'charpoly_factorization': [[[377248, -459232, 192464, -32672, 1226, 274, -32, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 61}
-
id: 1909318
{'charpoly_factorization': [[[300304, 0, 803120048, 0, 345348536, 0, 45589400, 0, 1979401, 0, 37075, 0, 315, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 67}
-
id: 1909319
{'charpoly_factorization': [[[-784, 5840, -3848, -3184, 875, 55, -21, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 71}
-
id: 1909320
{'charpoly_factorization': [[[47127199744, 0, 28443672576, 0, 3597107200, 0, 192441856, 0, 5104292, 0, 68876, 0, 440, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 73}
-
id: 1909321
{'charpoly_factorization': [[[-4755584, -697856, 264784, 23540, -3792, -264, 16, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 79}
-
id: 1909322
{'charpoly_factorization': [[[1638400, 0, 13500416, 0, 25436672, 0, 11084416, 0, 1252593, 0, 47443, 0, 415, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 83}
-
id: 1909323
{'charpoly_factorization': [[[-526112, 457456, 64264, -23724, -4000, 12, 26, 1], 2]], 'hecke_orbit_code': 4503943258309988, 'p': 89}
-
id: 1909324
{'charpoly_factorization': [[[56070144, 0, 16510058496, 0, 34971683328, 0, 1825932288, 0, 31417360, 0, 237264, 0, 804, 0, 1], 1]], 'hecke_orbit_code': 4503943258309988, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '1380.2.f.b', 'level': 1380, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 86979000
{'hecke_orbit_code': 4503943258309988, 'n': 1, 'trace_an': 14}
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id: 86979001
{'hecke_orbit_code': 4503943258309988, 'n': 2, 'trace_an': 0}
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id: 86979002
{'hecke_orbit_code': 4503943258309988, 'n': 3, 'trace_an': 0}
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id: 86979003
{'hecke_orbit_code': 4503943258309988, 'n': 4, 'trace_an': 0}
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id: 86979004
{'hecke_orbit_code': 4503943258309988, 'n': 5, 'trace_an': 0}
-
id: 86979005
{'hecke_orbit_code': 4503943258309988, 'n': 6, 'trace_an': 0}
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id: 86979006
{'hecke_orbit_code': 4503943258309988, 'n': 7, 'trace_an': 0}
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id: 86979007
{'hecke_orbit_code': 4503943258309988, 'n': 8, 'trace_an': 0}
-
id: 86979008
{'hecke_orbit_code': 4503943258309988, 'n': 9, 'trace_an': -14}
-
id: 86979009
{'hecke_orbit_code': 4503943258309988, 'n': 10, 'trace_an': 0}
-
id: 86979010
{'hecke_orbit_code': 4503943258309988, 'n': 11, 'trace_an': 0}
-
id: 86979011
{'hecke_orbit_code': 4503943258309988, 'n': 12, 'trace_an': 0}
-
id: 86979012
{'hecke_orbit_code': 4503943258309988, 'n': 13, 'trace_an': 0}
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id: 86979013
{'hecke_orbit_code': 4503943258309988, 'n': 14, 'trace_an': 0}
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id: 86979014
{'hecke_orbit_code': 4503943258309988, 'n': 15, 'trace_an': 2}
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id: 86979015
{'hecke_orbit_code': 4503943258309988, 'n': 16, 'trace_an': 0}
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id: 86979016
{'hecke_orbit_code': 4503943258309988, 'n': 17, 'trace_an': 0}
-
id: 86979017
{'hecke_orbit_code': 4503943258309988, 'n': 18, 'trace_an': 0}
-
id: 86979018
{'hecke_orbit_code': 4503943258309988, 'n': 19, 'trace_an': 4}
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id: 86979019
{'hecke_orbit_code': 4503943258309988, 'n': 20, 'trace_an': 0}
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id: 86979020
{'hecke_orbit_code': 4503943258309988, 'n': 21, 'trace_an': -2}
-
id: 86979021
{'hecke_orbit_code': 4503943258309988, 'n': 22, 'trace_an': 0}
-
id: 86979022
{'hecke_orbit_code': 4503943258309988, 'n': 23, 'trace_an': 0}
-
id: 86979023
{'hecke_orbit_code': 4503943258309988, 'n': 24, 'trace_an': 0}
-
id: 86979024
{'hecke_orbit_code': 4503943258309988, 'n': 25, 'trace_an': -6}
-
id: 86979025
{'hecke_orbit_code': 4503943258309988, 'n': 26, 'trace_an': 0}
-
id: 86979026
{'hecke_orbit_code': 4503943258309988, 'n': 27, 'trace_an': 0}
-
id: 86979027
{'hecke_orbit_code': 4503943258309988, 'n': 28, 'trace_an': 0}
-
id: 86979028
{'hecke_orbit_code': 4503943258309988, 'n': 29, 'trace_an': -30}
-
id: 86979029
{'hecke_orbit_code': 4503943258309988, 'n': 30, 'trace_an': 0}
-
id: 86979030
{'hecke_orbit_code': 4503943258309988, 'n': 31, 'trace_an': 6}
-
id: 86979031
{'hecke_orbit_code': 4503943258309988, 'n': 32, 'trace_an': 0}
-
id: 86979032
{'hecke_orbit_code': 4503943258309988, 'n': 33, 'trace_an': 0}
-
id: 86979033
{'hecke_orbit_code': 4503943258309988, 'n': 34, 'trace_an': 0}
-
id: 86979034
{'hecke_orbit_code': 4503943258309988, 'n': 35, 'trace_an': -14}
-
id: 86979035
{'hecke_orbit_code': 4503943258309988, 'n': 36, 'trace_an': 0}
-
id: 86979036
{'hecke_orbit_code': 4503943258309988, 'n': 37, 'trace_an': 0}
-
id: 86979037
{'hecke_orbit_code': 4503943258309988, 'n': 38, 'trace_an': 0}
-
id: 86979038
{'hecke_orbit_code': 4503943258309988, 'n': 39, 'trace_an': 4}
-
id: 86979039
{'hecke_orbit_code': 4503943258309988, 'n': 40, 'trace_an': 0}
-
id: 86979040
{'hecke_orbit_code': 4503943258309988, 'n': 41, 'trace_an': 46}
-
id: 86979041
{'hecke_orbit_code': 4503943258309988, 'n': 42, 'trace_an': 0}
-
id: 86979042
{'hecke_orbit_code': 4503943258309988, 'n': 43, 'trace_an': 0}
-
id: 86979043
{'hecke_orbit_code': 4503943258309988, 'n': 44, 'trace_an': 0}
-
id: 86979044
{'hecke_orbit_code': 4503943258309988, 'n': 45, 'trace_an': 0}
-
id: 86979045
{'hecke_orbit_code': 4503943258309988, 'n': 46, 'trace_an': 0}
-
id: 86979046
{'hecke_orbit_code': 4503943258309988, 'n': 47, 'trace_an': 0}
-
id: 86979047
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