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mf_newforms • Show schema
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{'Nk2': 10368, 'analytic_conductor': 50.606374128427724, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [162, 3, [83], [2]], 'cm_discs': [], 'conrey_index': 55, 'dim': 8, 'field_disc': 1857901022597376, 'field_disc_factorization': [[2, 8], [3, 4], [299329, 2]], 'field_poly': [346406544, 1563408, 3528, 11940, 53377, 518, 2, -2, 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': [[5, [234449422110050625, 21228054119658000, 1890990345156750, 3326203595520, 27754932771, 53782272, 342990, 528, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057731611099298, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 99179645184, 'hecke_ring_index_factorization': [[2, 8], [3, 18]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 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': True, 'label': '162.8.c.q', 'level': 162, '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': [2, 3], 'level_radical': 6, 'minimal_twist': '162.8.a.g', 'prim_orbit_index': 3, 'qexp_display': 'q+(-8-8\\beta _{1})q^{2}+2^{6}\\beta _{1}q^{4}+(132\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '162.8.c', 'trace_display': [-32, 0, -528, -560], 'trace_hash': 1488068422823645603, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.037', '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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{'Nk2': 10368, 'analytic_conductor': 50.606374128427724, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [162, 3, [83], [2]], 'conrey_index': 55, 'cusp_dim': 354, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 137573171362, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 8, 8], 'label': '162.8.c', 'level': 162, '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': [2, 3], 'level_radical': 6, 'mf_dim': 402, 'mf_new_dim': 56, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 216, 'trace_bound': 5, 'trace_display': [0, 0, 0, -830], 'traces': [56, 0, 0, -1792, 0, 0, -830, 0, 0, 0, 0, 0, -18470, 0, 0, -114688, 0, 0, 227608, 0, 0, -70512, 0, 0, -293512, 0, 0, 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mf_twists_cc • Show schema
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id: 48058687
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057731611099298, 'source_is_minimal': False, 'source_label': '162.8.c.q.109.3', 'source_level': 162, 'target_conrey_index': 109, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057731611099298, 'target_is_minimal': False, 'target_label': '162.8.c.q.109.3', 'target_level': 162, 'twist_class_label': '162.8.a.g.1.3', 'twist_class_level': 162, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 48058688
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057731611099298, 'source_is_minimal': False, 'source_label': '162.8.c.q.109.3', 'source_level': 162, 'target_conrey_index': 109, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561331238469794, 'target_is_minimal': False, 'target_label': '162.8.c.r.109.2', 'target_level': 162, 'twist_class_label': '162.8.a.g.1.3', 'twist_class_level': 162, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 48058689
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057731611099298, 'source_is_minimal': False, 'source_label': '162.8.c.q.109.3', 'source_level': 162, 'target_conrey_index': 55, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561331238469794, 'target_is_minimal': False, 'target_label': '162.8.c.r.55.2', 'target_level': 162, 'twist_class_label': '162.8.a.g.1.3', 'twist_class_level': 162, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 48058690
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057731611099298, 'source_is_minimal': False, 'source_label': '162.8.c.q.109.3', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396780552354, 'target_is_minimal': True, 'target_label': '162.8.a.j.1.2', 'target_level': 162, 'twist_class_label': '162.8.a.g.1.3', 'twist_class_level': 162, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 48058691
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057731611099298, 'source_is_minimal': False, 'source_label': '162.8.c.q.109.3', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597898440866, 'target_is_minimal': True, 'target_label': '162.8.a.g.1.3', 'target_level': 162, 'twist_class_label': '162.8.a.g.1.3', 'twist_class_level': 162, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 48058692
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057731611099298, 'source_is_minimal': False, 'source_label': '162.8.c.q.109.3', 'source_level': 162, 'target_conrey_index': 55, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057731611099298, 'target_is_minimal': False, 'target_label': '162.8.c.q.55.3', 'target_level': 162, 'twist_class_label': '162.8.a.g.1.3', 'twist_class_level': 162, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 425850
{'charpoly_factorization': [[[64, 8, 1], 4]], 'hecke_orbit_code': 72057731611099298, 'p': 2}
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id: 425851
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057731611099298, 'p': 3}
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id: 425852
{'charpoly_factorization': [[[234449422110050625, 21228054119658000, 1890990345156750, 3326203595520, 27754932771, 53782272, 342990, 528, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 5}
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id: 425853
{'charpoly_factorization': [[[63642866312751635620096, -300415090286533626880, 1976843151937719424, 2355103430758400, 5320739107120, 1141253120, 2528584, 560, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 7}
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id: 425854
{'charpoly_factorization': [[[71318400582352564593293250816, -18339774078138739706188800, 15173591457526849643904, 1535492987124756480, 1414663245416880, 52766069760, 43824024, 2160, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 11}
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id: 425855
{'charpoly_factorization': [[[2110920988329938981314230839281, -1155251984702367974241483580, 730223770506465992163346, 14512268005619978000, 13797846575113627, 682519106000, 248612194, 13460, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 13}
-
id: 425856
{'charpoly_factorization': [[[-169349008905990711, 27515155943520, -988854534, -22560, 1], 2]], 'hecke_orbit_code': 72057731611099298, 'p': 17}
-
id: 425857
{'charpoly_factorization': [[[66206977461391504, 6454798043008, -527500200, -36704, 1], 2]], 'hecke_orbit_code': 72057731611099298, 'p': 19}
-
id: 425858
{'charpoly_factorization': [[[20630734944959898658003480052994867456, 1268789711235325663814910096583680, 63772175398709293061372263296, 1445924066249892917145600, 31894203447131080752, 362042479180800, 7062921144, 62640, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 23}
-
id: 425859
{'charpoly_factorization': [[[1136802495792215444696569508116719383361, -140115568754778082999376932963573200, 18665959430496862784734200348174, 167467694639637686057568000, 1965175706108293984035, 5479070422060800, 46086802254, 68400, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 29}
-
id: 425860
{'charpoly_factorization': [[[700248392256005460370313983141272434507776, 10752455164014066320212074686207492096, 134288661003229840593968930750464, 853962768272455910668304384, 5116344998311036678144, 17320350928342016, 88585440064, 227504, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 31}
-
id: 425861
{'charpoly_factorization': [[[-161012920793959209239, 5794311403733620, -19822599714, -523580, 1], 2]], 'hecke_orbit_code': 72057731611099298, 'p': 37}
-
id: 425862
{'charpoly_factorization': [[[374363138781964684849579720129019846393856, -1295307513048145892361022922584227840, 162905942746981146989790534721536, 465919265213028666916208640, 66572825334650063481600, -13165739955486720, 263441337696, 67200, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 41}
-
id: 425863
{'charpoly_factorization': [[[382045351605164089058932594397356062326415616, 3561399160703731579441675841812187663360, 26359295840591395847186924059286656, 85754913444967395162482831360, 244516529519209988484400, 167525377033456640, 666498110536, 562640, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 43}
-
id: 425864
{'charpoly_factorization': [[[12983086128958966611434553929007913592469651456, -15756418430746829379257378377123790585856, 101041479181009046350036412559876096, -18018198717066213042960728064, 474203597751355121203968, -93928075466637312, 984510709344, 515328, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 47}
-
id: 425865
{'charpoly_factorization': [[[415170339223471466766336, 1854148058152068096, -31592144448, -2498016, 1], 2]], 'hecke_orbit_code': 72057731611099298, 'p': 53}
-
id: 425866
{'charpoly_factorization': [[[586881825501366007583377284431896180232369995776, 2722491799148649609458621114550973869588480, 8086598417329360725446661483202609152, 14706187392121753803416634654720, 19628741253194848161607680, 17536170129104240640, 11341099813248, 4155840, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 59}
-
id: 425867
{'charpoly_factorization': [[[32421341285119038639498627619386101059413979126321, 76082635067831670783807570549744969016066268, 149979824084082816095887899529855294834, 91291152590159703486543720779888, 59327319365778500070632443, 16035594631218908336, 9556345925506, 2130764, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 61}
-
id: 425868
{'charpoly_factorization': [[[2301184156271370188860343322479698373105419484467456, 72243768386918962130734977674543297604300800, 946498094290906600472987120591406696064, 86008183369590251396045195386880, 341284566521070469093601200, 20715269750414428160, 21136577009704, -1205440, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 67}
-
id: 425869
{'charpoly_factorization': [[[48535608756797071767475344, -90235355716170077760, 53328254782824, -12486480, 1], 2]], 'hecke_orbit_code': 72057731611099298, 'p': 71}
-
id: 425870
{'charpoly_factorization': [[[1326962692344362342034049, -8364548034988230020, -5600522171514, 4820860, 1], 2]], 'hecke_orbit_code': 72057731611099298, 'p': 73}
-
id: 425871
{'charpoly_factorization': [[[414914435842162100222012273712132326228233272100000000, -239170814624899088071631497842270663252160000000, 132495696762813977109220309598923978000000, -17874445756523167592268657126400000, 4973126139601564521082030000, -646961586232484608000, 139936946780200, -11471680, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 79}
-
id: 425872
{'charpoly_factorization': [[[1290485488770241110318164391255383494585678226591318016, 633297737349540186739031446180081828250630750208, 337674690903148603952276303525412604477440, 24999962240647972115606172000780288, 11068182724437943388404199424, 1512868705178579361792, 258948621944640, 16811232, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 83}
-
id: 425873
{'charpoly_factorization': [[[33041485329209866479133881, 286170565780831219200, 35224506907434, -16857600, 1], 2]], 'hecke_orbit_code': 72057731611099298, 'p': 89}
-
id: 425874
{'charpoly_factorization': [[[2483773360221499606925660298589430023041663708201738496, 472685519351213458414014490876638348038711175680, 428364062886471221491527040008431394752128, -149752087580415262641553476699973120, 39561682204945510139188475440, -5214496443829199820160, 518494535877352, -27078040, 1], 1]], 'hecke_orbit_code': 72057731611099298, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 17, 'label': '162.8.c.q', 'level': 162, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 62039689
{'hecke_orbit_code': 72057731611099298, 'n': 1, 'trace_an': 8}
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id: 62039690
{'hecke_orbit_code': 72057731611099298, 'n': 2, 'trace_an': -32}
-
id: 62039691
{'hecke_orbit_code': 72057731611099298, 'n': 3, 'trace_an': 0}
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id: 62039692
{'hecke_orbit_code': 72057731611099298, 'n': 4, 'trace_an': -256}
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id: 62039693
{'hecke_orbit_code': 72057731611099298, 'n': 5, 'trace_an': -528}
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id: 62039694
{'hecke_orbit_code': 72057731611099298, 'n': 6, 'trace_an': 0}
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id: 62039695
{'hecke_orbit_code': 72057731611099298, 'n': 7, 'trace_an': -560}
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id: 62039696
{'hecke_orbit_code': 72057731611099298, 'n': 8, 'trace_an': 4096}
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id: 62039697
{'hecke_orbit_code': 72057731611099298, 'n': 9, 'trace_an': 0}
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id: 62039698
{'hecke_orbit_code': 72057731611099298, 'n': 10, 'trace_an': 8448}
-
id: 62039699
{'hecke_orbit_code': 72057731611099298, 'n': 11, 'trace_an': -2160}
-
id: 62039700
{'hecke_orbit_code': 72057731611099298, 'n': 12, 'trace_an': 0}
-
id: 62039701
{'hecke_orbit_code': 72057731611099298, 'n': 13, 'trace_an': -13460}
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id: 62039702
{'hecke_orbit_code': 72057731611099298, 'n': 14, 'trace_an': -4480}
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id: 62039703
{'hecke_orbit_code': 72057731611099298, 'n': 15, 'trace_an': 0}
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