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mf_newforms • Show schema
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{'Nk2': 6800, 'analytic_conductor': 25.075811752439762, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [425, 2, [52, 326], [1, 2]], 'cm_discs': [], 'conrey_index': 324, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 1]], [3, [100, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867668697513, 'hecke_ring_generator_nbound': 3, '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, 5, 2, 1, 2, 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': '425.4.b.d', 'level': 425, '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': [5, 17], 'level_radical': 85, 'minimal_twist': '85.4.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+3 i q^{2}-10 i q^{3}-q^{4}+30 q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '425.4.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2016409337657585918, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.946', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.534', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 1.0606601717798212], [0.0, -1.9245008972987525], [-0.125, 0.0], [0.0, 0.0], [2.041241452319315, 0.0], [0.0, -1.1878883437432857], [0.0, 0.9280776503073436], [-2.7037037037037037, 0.0], [0.0, 0.0], [-0.8223036670302645, 0.0], [0.0, 0.24056261216234406], [0.0, 0.9813926548600208], [1.2599458547300006, 0.0], [0.0, 0.0], [-1.109375, 0.0], [0.0, 0.24253562503633297], [0.0, -2.8677108348121094], [-1.2557492801336012, 0.0], [0.0, 0.0], [-2.286092183424682, 0.0], [0.0, -0.8721847487274972], [0.0, -0.38076545175639737], [1.7860862707794007, 0.0], [0.0, 0.0], [-1.0409241018872846, 0.0], [0.0, 3.278779306508986], [0.0, 0.1484860429679107], [0.42261697654087665, 0.0], [0.0, 0.0], [1.1239815675223979, 0.0], [0.0, -0.24859222776089562], [0.0, 1.5825241450517986], [-0.25724787771376323, 0.0], [0.0, 0.0], [0.33796296296296297, 0.0], [0.0, 0.9153024698622595], [0.0, -1.3319232471788924], [1.888691044880515, 0.0], [0.0, 0.0], [-0.4799486340966918, 0.0], [0.0, -2.42476692797573], [0.0, 1.37603361137327], [0.10278795837878306, 0.0], [0.0, 0.0], [0.40386274946776174, 0.0], [0.0, -1.6758956469970865], [0.0, 2.1349931829408035], [-0.4110787172011662, 0.0], [0.0, 0.0], [0.4667600280093366, 0.0], [0.0, -0.1226740818575026], [0.0, -0.20215328279241027], [-3.4776706224699443, 0.0], [0.0, 0.0], [1.1024526228887506, 0.0], [0.0, 2.416690616399378], [0.0, 0.44825299493491494], [-0.9532476193850155, 0.0], [0.0, 0.0], [-1.2803687993289596, 0.0], [0.0, 1.1921624824856591], [0.0, 3.2116981145651797], [-0.845703125, 0.0], [0.0, 0.0], [-1.6785203315363555, 0.0], [0.0, 1.5462640121514453], [0.0, -0.03031695312954162], [-0.7327834535655516, 0.0], [0.0, 0.0], [-0.2908450824306063, 0.0], [0.0, -2.509246980460596], [0.0, -0.5803958258219077], [-0.9708248749145989, 0.0], [0.0, 0.0], [0.15696866001670015, 0.0], [0.0, 0.976804941082611], [0.0, 2.0032593681019772], [-0.566816436162731, 0.0], [0.0, 0.0], [3.606310013717421, 0.0], [0.0, -0.5090624006864878], [0.0, -1.094997677969441], [0.28576152292808527, 0.0], [0.0, 0.0], [-1.4595040466139804, 0.0], [0.0, -0.813326750566603], [0.0, -0.7631616551365601], [-0.7503355779820301, 0.0], [0.0, 0.0], [1.165784895343496, 0.0], [0.0, 0.04759568146954967], [0.0, -2.163103535244113], [1.7775557648289844, 0.0], [0.0, 0.0], [-0.4784159653873395, 0.0], [0.0, -1.5554684550397504], [0.0, -0.4360148228016175], [2.223265470118863, 0.0], [0.0, 0.0]], 'angles': [0.08896600031615277, -0.2938699140229554, None, -0.3987849970769933, -0.3174366992825263, 0.08162877621034409, None, -0.3580374745092701, -0.46951355422256086, -0.21611376660666978, -0.15501781718395213, 0.075654582033136, -0.2885695126099326, 0.12075923932308069, -0.34187765245943647, -0.48388563434245163, -0.329069802408918, -0.36057103081184777, 0.14065549839047492, -0.27322707881768554, -0.4531394301413172, -0.29573256553949373, -0.4077900235853021, -0.31120745443989595, -0.3581844750301273, -0.35359122090660217, 0.10448161261740095, -0.4700580775849249, -0.293474346985515, -0.4828750023996841, 0.016487443723991416, -0.23692906609189926, 0.10704217958988023, -0.2225744264819553, -0.3811767007446799, -0.19559532263859405, -0.37431472213417205, 0.1533536770048789, 0.0037614563974810913, -0.43505289000455555, -0.26758037161029763, -0.4058136651749127, -0.14847135823559157, 0.06127690662337719, -0.38465782014603234, -0.3107070886241181, -0.31805470530671454, -0.4762062167085398, -0.47434118131513525, -0.3200763960363283, 0.015193077540471951, -0.19130274110124224, -0.17354166597969573, -0.22807819560515274, -0.42558264784461886, -0.42917458375039214, -0.23841007420605378, -0.22449018363569764, -0.413624066116994, -0.3352042777065779, 0.004981930587188437, -0.49495351948397487, 0.02220362340698412, -0.1533723479271613, 0.04255344898410961, -0.38825870562882303, -0.08963222919778514, -0.4011839455122109, 0.07924222385524925, -0.32333447107594904, -0.3631714255174028, -0.3266303326463752, -0.3967735024657829, 0.021517906767364117, -0.30867632195144123, 0.05946910917627107, -0.14550852858716332, 0.1627495512803492, -0.19472757969882684, -0.3098355725170141, -0.33705809613139703, -0.16406080704060214, -0.2834906330293038, 0.06114425731066839, -0.18533911049403914, 0.10185293009470306, -0.23345945372058224, 0.09358023043967671, -0.39499933781685403, -0.48178035549594045, 0.08399009037784788, -0.36671198810322003, -0.4114622765178342, -0.19539492079550766, -0.19440547643357392, -0.46938031310067224, -0.1929464725636588, -0.2729244982957762, -0.38559646213236837, -0.3259138646679395], 'char_orbit_index': 2, 'conrey_index': 324, 'dual_conrey_index': 324, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 4, 'hecke_orbit_code': 13510867668697513, 'label': '425.4.b.d.324.2', 'level': 425, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 6800, 'analytic_conductor': 25.075811752439762, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [425, 2, [52, 326], [1, 2]], 'conrey_index': 324, 'cusp_dim': 128, 'dim': 72, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 68786586025, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 6, 6, 6, 10, 12, 20], 'label': '425.4.b', 'level': 425, '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': [5, 17], 'level_radical': 85, 'mf_dim': 140, 'mf_new_dim': 72, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 180, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -288, 0, -8, 0, 0, -656, 0, -32, 0, 0, 172, 0, 1296, 0, 0, 184, 0, 16, 0, 0, -668, 0, 220, 0, 0, 548, 0, 180, 0, 0, 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mf_twists_cc • Show schema
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id: 43037771
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 324, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510867668697513, 'source_is_minimal': False, 'source_label': '425.4.b.d.324.2', 'source_level': 425, 'target_conrey_index': 324, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867668697513, 'target_is_minimal': False, 'target_label': '425.4.b.d.324.2', 'target_level': 425, 'twist_class_label': '85.4.a.c.1.1', 'twist_class_level': 85, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 43037772
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 324, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510867668697513, 'source_is_minimal': False, 'source_label': '425.4.b.d.324.2', 'source_level': 425, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109289, 'target_is_minimal': False, 'target_label': '425.4.a.a.1.1', 'target_level': 425, 'twist_class_label': '85.4.a.c.1.1', 'twist_class_level': 85, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 43037773
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 324, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510867668697513, 'source_is_minimal': False, 'source_label': '425.4.b.d.324.2', 'source_level': 425, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849941, 'target_is_minimal': True, 'target_label': '85.4.a.c.1.1', 'target_level': 85, 'twist_class_label': '85.4.a.c.1.1', 'twist_class_level': 85, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 43037774
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 324, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510867668697513, 'source_is_minimal': False, 'source_label': '425.4.b.d.324.2', 'source_level': 425, 'target_conrey_index': 324, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867668697513, 'target_is_minimal': False, 'target_label': '425.4.b.d.324.1', 'target_level': 425, 'twist_class_label': '85.4.a.c.1.1', 'twist_class_level': 85, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 43037775
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 324, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510867668697513, 'source_is_minimal': False, 'source_label': '425.4.b.d.324.2', 'source_level': 425, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109629, 'target_is_minimal': False, 'target_label': '765.4.a.a.1.1', 'target_level': 765, 'twist_class_label': '85.4.a.c.1.1', 'twist_class_level': 85, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 43037776
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 324, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510867668697513, 'source_is_minimal': False, 'source_label': '425.4.b.d.324.2', 'source_level': 425, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110224, 'target_is_minimal': False, 'target_label': '1360.4.a.a.1.1', 'target_level': 1360, 'twist_class_label': '85.4.a.c.1.1', 'twist_class_level': 85, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 43037777
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 324, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510867668697513, 'source_is_minimal': False, 'source_label': '425.4.b.d.324.2', 'source_level': 425, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203962789, 'target_is_minimal': False, 'target_label': '1445.4.a.f.1.1', 'target_level': 1445, 'twist_class_label': '85.4.a.c.1.1', 'twist_class_level': 85, 'twisting_char_label': '85.33', 'twisting_conrey_index': 33, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 868350
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 2}
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id: 868351
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 3}
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id: 868352
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 5}
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id: 868353
{'charpoly_factorization': [[[484, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 7}
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id: 868354
{'charpoly_factorization': [[[30, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 11}
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id: 868355
{'charpoly_factorization': [[[2116, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 13}
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id: 868356
{'charpoly_factorization': [[[289, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 17}
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id: 868357
{'charpoly_factorization': [[[104, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 19}
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id: 868358
{'charpoly_factorization': [[[1764, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 23}
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id: 868359
{'charpoly_factorization': [[[-66, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 29}
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id: 868360
{'charpoly_factorization': [[[-194, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 31}
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id: 868361
{'charpoly_factorization': [[[42436, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 37}
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id: 868362
{'charpoly_factorization': [[[126, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 41}
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id: 868363
{'charpoly_factorization': [[[150544, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 43}
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id: 868364
{'charpoly_factorization': [[[291600, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 47}
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id: 868365
{'charpoly_factorization': [[[6084, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 53}
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id: 868366
{'charpoly_factorization': [[[432, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 59}
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id: 868367
{'charpoly_factorization': [[[610, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 61}
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id: 868368
{'charpoly_factorization': [[[719104, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 67}
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id: 868369
{'charpoly_factorization': [[[174, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 71}
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id: 868370
{'charpoly_factorization': [[[131044, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 73}
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id: 868371
{'charpoly_factorization': [[[398, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 79}
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id: 868372
{'charpoly_factorization': [[[685584, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 83}
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id: 868373
{'charpoly_factorization': [[[630, 1], 2]], 'hecke_orbit_code': 13510867668697513, 'p': 89}
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id: 868374
{'charpoly_factorization': [[[2208196, 0, 1], 1]], 'hecke_orbit_code': 13510867668697513, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '425.4.b.d', 'level': 425, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 35909965
{'hecke_orbit_code': 13510867668697513, 'n': 1, 'trace_an': 2}
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id: 35909966
{'hecke_orbit_code': 13510867668697513, 'n': 2, 'trace_an': 0}
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id: 35909967
{'hecke_orbit_code': 13510867668697513, 'n': 3, 'trace_an': 0}
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id: 35909968
{'hecke_orbit_code': 13510867668697513, 'n': 4, 'trace_an': -2}
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id: 35909969
{'hecke_orbit_code': 13510867668697513, 'n': 5, 'trace_an': 0}
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