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{'Nk2': 4416, 'analytic_conductor': 21.554566758404402, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [23, -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': [69, 1, [47, 28], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 5069351370280, 'field_disc_factorization': [[2, 3], [5, 1], [126733784257, 1]], 'field_poly': [127016, 42284, -474, -455, 0, 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': [[2, [127016, 42284, -474, -455, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 134217797, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 288, 'hecke_ring_index_factorization': [[2, 5], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '69.8.a.a', 'level': 69, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 23], 'level_radical': 69, 'minimal_twist': '69.8.a.a', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-3^{3}q^{3}+(54+2\\beta _{1}+\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '69.8.a', 'trace_display': [0, -135, -266, -496], 'trace_hash': 637552360693269682, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.626', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [23, 1]], 6, 1], [[[3, -1], [23, -1]], 8, 1], [[[3, 1], [23, -1]], 5, 1], [[[3, 1], [23, 1]], 7, 1]], 'ALdims': [7, 5, 6, 8], 'Nk2': 4416, 'analytic_conductor': 21.554566758404402, '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': [69, 1, [47, 28], [1, 1]], 'conrey_index': 1, 'cusp_dim': 54, 'dim': 26, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 134217797, 'hecke_orbit_dims': [5, 6, 7, 8], 'label': '69.8.a', 'level': 69, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 23], 'level_radical': 69, 'mf_dim': 58, 'mf_new_dim': 26, 'num_forms': 4, 'plus_dim': 15, 'prim_orbit_index': 1, 'relative_dim': 26, 'sturm_bound': 64, 'trace_bound': 1, 'trace_display': [16, 54, -776, -456], 'traces': [26, 16, 54, 1664, -776, 432, -456, 5076, 18954, -15180, 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mf_twists_cc • Show schema
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id: 421837
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 134217797, 'source_is_minimal': True, 'source_label': '69.8.a.a.1.1', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 134217797, 'target_is_minimal': True, 'target_label': '69.8.a.a.1.1', 'target_level': 69, 'twist_class_label': '69.8.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 421838
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 134217797, 'source_is_minimal': True, 'source_label': '69.8.a.a.1.1', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 134217935, 'target_is_minimal': False, 'target_label': '207.8.a.a.1.5', 'target_level': 207, 'twist_class_label': '69.8.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 219375
{'charpoly_factorization': [[[127016, 42284, -474, -455, 0, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 2}
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id: 219376
{'charpoly_factorization': [[[27, 1], 5]], 'hecke_orbit_code': 134217797, 'p': 3}
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id: 219377
{'charpoly_factorization': [[[-3615360000, -260643200, -5761760, -28696, 266, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 5}
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id: 219378
{'charpoly_factorization': [[[-194204974150720, 1423528608720, -510098608, -2361144, 496, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 7}
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id: 219379
{'charpoly_factorization': [[[154691619430400, 8190801003520, -8448479456, -17900584, 1148, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 11}
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id: 219380
{'charpoly_factorization': [[[16949964907397805984, 8797382529202512, -46113337584, -206597592, 642, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 13}
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id: 219381
{'charpoly_factorization': [[[1197078000624527559680, 269929356591517120, -11180076292112, -1285951984, 5798, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 17}
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id: 219382
{'charpoly_factorization': [[[-1455076528810958183936, 185171606250158832, 3874831298480, -976972672, 6036, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 19}
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id: 219383
{'charpoly_factorization': [[[-12167, 1], 5]], 'hecke_orbit_code': 134217797, 'p': 23}
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id: 219384
{'charpoly_factorization': [[[2410061759079885389088, -20455752789771350832, -1428794454126960, -5923396536, 169162, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 29}
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id: 219385
{'charpoly_factorization': [[[-23919295773834637430243328, -1018211220957911148288, -13426584591784320, -43994925216, 199640, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 31}
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id: 219386
{'charpoly_factorization': [[[82347869119982106235546720, 808749032523612552560, -12266792719102368, -105154566272, 202002, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 37}
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id: 219387
{'charpoly_factorization': [[[168021393432208240571481952, -7012284806967470651952, 66617897199338800, -103444637496, -541282, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 41}
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id: 219388
{'charpoly_factorization': [[[66167417975899386957117897600, 89423348208163301148912, -636892817243404752, -720482936448, 909596, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 43}
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id: 219389
{'charpoly_factorization': [[[-24032965864985862287312486400, 441049108639849999912960, 143091146720317440, -1392905639296, -80208, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 47}
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id: 219390
{'charpoly_factorization': [[[109225338814817324661070786560, 793241478498772691050240, -499432731442902464, -3057292616632, 278138, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 53}
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id: 219391
{'charpoly_factorization': [[[7567148932622277638033329572864, -53410135096155212935424, -13664970599888805632, -3306712956160, 3177380, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 59}
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id: 219392
{'charpoly_factorization': [[[-144322657244583567796043786784, 2284334929095477979082608, -7818212974425020704, -9781093585984, -147782, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 61}
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id: 219393
{'charpoly_factorization': [[[-79981642248934555628004624755840, 184307733809274873619458032, -290932021540136880, -27027287614400, 464916, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 67}
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id: 219394
{'charpoly_factorization': [[[491048307350132299711822692352, 1506326204431482045186048, -179997306641763584, -3496700575968, -1576792, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 71}
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id: 219395
{'charpoly_factorization': [[[1179314781783650220679343245664, 3690562123915829548637264, -1042990056947080848, -7488464098136, 38190, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 73}
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id: 219396
{'charpoly_factorization': [[[-36348243055737790744196907661120, 60359735842460885681415888, -7813983134821600528, -20007982009272, 3913336, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 79}
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id: 219397
{'charpoly_factorization': [[[1807068719752022414153114273464320, -1245990168042970842093002240, 154352993762636189408, 58536185513432, -15774716, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 83}
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id: 219398
{'charpoly_factorization': [[[-2546352379540635878679731434973696, 956583625484228934917588032, 402414602374300555664, -117042154036144, -1116482, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 89}
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id: 219399
{'charpoly_factorization': [[[1146197723802030592062868846954720, 218830157112855929799752528, -626703374651091038288, -22269450612824, 15738566, 1], 1]], 'hecke_orbit_code': 134217797, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '69.8.a.a', 'level': 69, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 13652000
{'hecke_orbit_code': 134217797, 'n': 1, 'trace_an': 5}
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id: 13652001
{'hecke_orbit_code': 134217797, 'n': 2, 'trace_an': 0}
-
id: 13652002
{'hecke_orbit_code': 134217797, 'n': 3, 'trace_an': -135}
-
id: 13652003
{'hecke_orbit_code': 134217797, 'n': 4, 'trace_an': 270}
-
id: 13652004
{'hecke_orbit_code': 134217797, 'n': 5, 'trace_an': -266}
-
id: 13652005
{'hecke_orbit_code': 134217797, 'n': 6, 'trace_an': 0}
-
id: 13652006
{'hecke_orbit_code': 134217797, 'n': 7, 'trace_an': -496}
-
id: 13652007
{'hecke_orbit_code': 134217797, 'n': 8, 'trace_an': 1422}
-
id: 13652008
{'hecke_orbit_code': 134217797, 'n': 9, 'trace_an': 3645}
-
id: 13652009
{'hecke_orbit_code': 134217797, 'n': 10, 'trace_an': 1452}
-
id: 13652010
{'hecke_orbit_code': 134217797, 'n': 11, 'trace_an': -1148}
-
id: 13652011
{'hecke_orbit_code': 134217797, 'n': 12, 'trace_an': -7290}
-
id: 13652012
{'hecke_orbit_code': 134217797, 'n': 13, 'trace_an': -642}
-
id: 13652013
{'hecke_orbit_code': 134217797, 'n': 14, 'trace_an': 5756}
-
id: 13652014
{'hecke_orbit_code': 134217797, 'n': 15, 'trace_an': 7182}
-
id: 13652015
{'hecke_orbit_code': 134217797, 'n': 16, 'trace_an': -22606}
-
id: 13652016
{'hecke_orbit_code': 134217797, 'n': 17, 'trace_an': -5798}
-
id: 13652017
{'hecke_orbit_code': 134217797, 'n': 18, 'trace_an': 0}
-
id: 13652018
{'hecke_orbit_code': 134217797, 'n': 19, 'trace_an': -6036}
-
id: 13652019
{'hecke_orbit_code': 134217797, 'n': 20, 'trace_an': -27376}
-
id: 13652020
{'hecke_orbit_code': 134217797, 'n': 21, 'trace_an': 13392}
-
id: 13652021
{'hecke_orbit_code': 134217797, 'n': 22, 'trace_an': -97896}
-
id: 13652022
{'hecke_orbit_code': 134217797, 'n': 23, 'trace_an': 60835}
-
id: 13652023
{'hecke_orbit_code': 134217797, 'n': 24, 'trace_an': -38394}
-
id: 13652024
{'hecke_orbit_code': 134217797, 'n': 25, 'trace_an': -262477}
-
id: 13652025
{'hecke_orbit_code': 134217797, 'n': 26, 'trace_an': -355992}
-
id: 13652026
{'hecke_orbit_code': 134217797, 'n': 27, 'trace_an': -98415}
-
id: 13652027
{'hecke_orbit_code': 134217797, 'n': 28, 'trace_an': -507124}
-
id: 13652028
{'hecke_orbit_code': 134217797, 'n': 29, 'trace_an': -169162}
-
id: 13652029
{'hecke_orbit_code': 134217797, 'n': 30, 'trace_an': -39204}
-
id: 13652030
{'hecke_orbit_code': 134217797, 'n': 31, 'trace_an': -199640}
-
id: 13652031
{'hecke_orbit_code': 134217797, 'n': 32, 'trace_an': -284794}
-
id: 13652032
{'hecke_orbit_code': 134217797, 'n': 33, 'trace_an': 30996}
-
id: 13652033
{'hecke_orbit_code': 134217797, 'n': 34, 'trace_an': -1027740}
-
id: 13652034
{'hecke_orbit_code': 134217797, 'n': 35, 'trace_an': -137680}
-
id: 13652035
{'hecke_orbit_code': 134217797, 'n': 36, 'trace_an': 196830}
-
id: 13652036
{'hecke_orbit_code': 134217797, 'n': 37, 'trace_an': -202002}
-
id: 13652037
{'hecke_orbit_code': 134217797, 'n': 38, 'trace_an': -554924}
-
id: 13652038
{'hecke_orbit_code': 134217797, 'n': 39, 'trace_an': 17334}
-
id: 13652039
{'hecke_orbit_code': 134217797, 'n': 40, 'trace_an': -340904}
-
id: 13652040
{'hecke_orbit_code': 134217797, 'n': 41, 'trace_an': 541282}
-
id: 13652041
{'hecke_orbit_code': 134217797, 'n': 42, 'trace_an': -155412}
-
id: 13652042
{'hecke_orbit_code': 134217797, 'n': 43, 'trace_an': -909596}
-
id: 13652043
{'hecke_orbit_code': 134217797, 'n': 44, 'trace_an': -1236032}
-
id: 13652044
{'hecke_orbit_code': 134217797, 'n': 45, 'trace_an': -193914}
-
id: 13652045
{'hecke_orbit_code': 134217797, 'n': 46, 'trace_an': 0}
-
id: 13652046
{'hecke_orbit_code': 134217797, 'n': 47, 'trace_an': 80208}
-
id: 13652047
{'hecke_orbit_code': 134217797, 'n': 48, 'trace_an': 610362}
-
id: 13652048
{'hecke_orbit_code': 134217797, 'n': 49, 'trace_an': 850589}
-
id: 13652049
{'hecke_orbit_code': 134217797, 'n': 50, 'trace_an': -941416}
-
id: 13652050
{'hecke_orbit_code': 134217797, 'n': 51, 'trace_an': 156546}
-
id: 13652051
{'hecke_orbit_code': 134217797, 'n': 52, 'trace_an': 146940}
-
id: 13652052
{'hecke_orbit_code': 134217797, 'n': 53, 'trace_an': -278138}
-
id: 13652053
{'hecke_orbit_code': 134217797, 'n': 54, 'trace_an': 0}
-
id: 13652054
{'hecke_orbit_code': 134217797, 'n': 55, 'trace_an': -933560}
-
id: 13652055
{'hecke_orbit_code': 134217797, 'n': 56, 'trace_an': -539932}
-
id: 13652056
{'hecke_orbit_code': 134217797, 'n': 57, 'trace_an': 162972}
-
id: 13652057
{'hecke_orbit_code': 134217797, 'n': 58, 'trace_an': -3522712}
-
id: 13652058
{'hecke_orbit_code': 134217797, 'n': 59, 'trace_an': -3177380}
-
id: 13652059
{'hecke_orbit_code': 134217797, 'n': 60, 'trace_an': 739152}
-
id: 13652060
{'hecke_orbit_code': 134217797, 'n': 61, 'trace_an': 147782}
-
id: 13652061
{'hecke_orbit_code': 134217797, 'n': 62, 'trace_an': 4606456}
-
id: 13652062
{'hecke_orbit_code': 134217797, 'n': 63, 'trace_an': -361584}
-
id: 13652063
{'hecke_orbit_code': 134217797, 'n': 64, 'trace_an': -4142622}
-
id: 13652064
{'hecke_orbit_code': 134217797, 'n': 65, 'trace_an': 3877332}
-
id: 13652065
{'hecke_orbit_code': 134217797, 'n': 66, 'trace_an': 2643192}
-
id: 13652066
{'hecke_orbit_code': 134217797, 'n': 67, 'trace_an': -464916}
-
id: 13652067
{'hecke_orbit_code': 134217797, 'n': 68, 'trace_an': 7513072}
-
id: 13652068
{'hecke_orbit_code': 134217797, 'n': 69, 'trace_an': -1642545}
-
id: 13652069
{'hecke_orbit_code': 134217797, 'n': 70, 'trace_an': 2093200}
-
id: 13652070
{'hecke_orbit_code': 134217797, 'n': 71, 'trace_an': 1576792}
-
id: 13652071
{'hecke_orbit_code': 134217797, 'n': 72, 'trace_an': 1036638}
-
id: 13652072
{'hecke_orbit_code': 134217797, 'n': 73, 'trace_an': -38190}
-
id: 13652073
{'hecke_orbit_code': 134217797, 'n': 74, 'trace_an': 12164864}
-
id: 13652074
{'hecke_orbit_code': 134217797, 'n': 75, 'trace_an': 7086879}
-
id: 13652075
{'hecke_orbit_code': 134217797, 'n': 76, 'trace_an': 6889436}
-
id: 13652076
{'hecke_orbit_code': 134217797, 'n': 77, 'trace_an': 10332384}
-
id: 13652077
{'hecke_orbit_code': 134217797, 'n': 78, 'trace_an': 9611784}
-
id: 13652078
{'hecke_orbit_code': 134217797, 'n': 79, 'trace_an': -3913336}
-
id: 13652079
{'hecke_orbit_code': 134217797, 'n': 80, 'trace_an': 6334776}
-
id: 13652080
{'hecke_orbit_code': 134217797, 'n': 81, 'trace_an': 2657205}
-
id: 13652081
{'hecke_orbit_code': 134217797, 'n': 82, 'trace_an': 6799360}
-
id: 13652082
{'hecke_orbit_code': 134217797, 'n': 83, 'trace_an': 15774716}
-
id: 13652083
{'hecke_orbit_code': 134217797, 'n': 84, 'trace_an': 13692348}
-
id: 13652084
{'hecke_orbit_code': 134217797, 'n': 85, 'trace_an': -8520740}
-
id: 13652085
{'hecke_orbit_code': 134217797, 'n': 86, 'trace_an': 24874084}
-
id: 13652086
{'hecke_orbit_code': 134217797, 'n': 87, 'trace_an': 4567374}
-
id: 13652087
{'hecke_orbit_code': 134217797, 'n': 88, 'trace_an': 53216}
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