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mf_newforms • Show schema
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{'Nk2': 24624, 'analytic_conductor': 109.70253275207875, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [684, 3, [343, 533, 325], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 505, 'dim': 18, 'field_disc': -10101024113061428524344617094027929526595222309696499285577845807699137864302029568, 'field_disc_factorization': [[-1, 1], [2, 8], [3, 9], [11, 2], [19, 4], [11275016548430075870208752768124151, 2]], 'field_poly': [5519876026771720332419776049541, -236484931518202417328772433599, 19168823714556940699533734824, -655224799021744228503297133, 37300806349205873742869889, -1065755622605542033556002, 38243816152807979345695, -704026968823840581411, 18704695568091019759, -242577082836320134, 6304911261795867, -54625271848675, 1365504992251, -6076762674, 216301789, -456301, 17616, -7, 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, [5301940966778037266008770871296, -199968859356645002405506596864, 17416855987316341865433308160, -515937866637477040613859456, 32522324605215599120181264, -850058829119765807328240, 33820282418425075560096, -562382544457672527024, 16796878410512090940, -182235863003254716, 5792633935619680, -38635011538024, 1306014959701, -3086592365, 211569494, -174581, 17650, 11, 1]], [7, [-1233055145631744000, 53167521425264640, 1928158954033152, -19652044114368, -334655586976, 2542736868, 13902400, -92704, -168, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518685432283820, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 3583180800, 'hecke_ring_index_factorization': [[2, 16], [3, 7], [5, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '684.6.k.f', 'level': 684, '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, 19], 'level_radical': 114, 'minimal_twist': '76.6.e.a', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}-\\beta _{2}-\\beta _{4})q^{5}+(19+\\beta _{3}-\\beta _{9}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '5.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '684.6.k', 'trace_display': [0, 0, -11, 336], 'trace_hash': 905954778630567545, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.059', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.727', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 24624, 'analytic_conductor': 109.70253275207875, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [684, 3, [343, 533, 325], [3, 3, 2]], 'conrey_index': 505, 'cusp_dim': 1176, 'dim': 82, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 687295431340, 'hecke_orbit_dims': [2, 2, 4, 16, 16, 18, 24], 'label': '684.6.k', 'level': 684, '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, 19], 'level_radical': 114, 'mf_dim': 1224, 'mf_new_dim': 82, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 41, 'sturm_bound': 720, 'trace_bound': 7, 'trace_display': [0, 0, 11, 16], 'traces': [82, 0, 0, 0, 11, 0, 16, 0, 0, 0, 596, 0, -541, 0, 0, 0, -1359, 0, 1536, 0, 0, 0, 1847, 0, -22098, 0, 0, 0, 3577, 0, 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-92418934, 0, 83475201, 0, 0, 0, 149073838, 0, -31520961, 0, 0, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45318657
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 505, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518685432283820, 'source_is_minimal': False, 'source_label': '684.6.k.f.505.5', 'source_level': 684, 'target_conrey_index': 505, 'target_dim': 18, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518685432283820, 'target_is_minimal': False, 'target_label': '684.6.k.f.505.5', 'target_level': 684, 'twist_class_label': '76.6.e.a.45.7', 'twist_class_level': 76, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 45318658
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 505, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518685432283820, 'source_is_minimal': False, 'source_label': '684.6.k.f.505.5', 'source_level': 684, 'target_conrey_index': 49, 'target_dim': 18, 'target_embedding_index': 7, 'target_hecke_orbit_code': 274978570316, 'target_is_minimal': True, 'target_label': '76.6.e.a.49.7', 'target_level': 76, 'twist_class_label': '76.6.e.a.45.7', 'twist_class_level': 76, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 45318659
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 505, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518685432283820, 'source_is_minimal': False, 'source_label': '684.6.k.f.505.5', 'source_level': 684, 'target_conrey_index': 49, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511348738588976, 'target_is_minimal': False, 'target_label': '304.6.i.d.49.3', 'target_level': 304, 'twist_class_label': '76.6.e.a.45.7', 'twist_class_level': 76, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 6}
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id: 45318660
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 505, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518685432283820, 'source_is_minimal': False, 'source_label': '684.6.k.f.505.5', 'source_level': 684, 'target_conrey_index': 577, 'target_dim': 18, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518685432283820, 'target_is_minimal': False, 'target_label': '684.6.k.f.577.5', 'target_level': 684, 'twist_class_label': '76.6.e.a.45.7', 'twist_class_level': 76, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 6}
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id: 45318661
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 505, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518685432283820, 'source_is_minimal': False, 'source_label': '684.6.k.f.505.5', 'source_level': 684, 'target_conrey_index': 45, 'target_dim': 18, 'target_embedding_index': 7, 'target_hecke_orbit_code': 274978570316, 'target_is_minimal': True, 'target_label': '76.6.e.a.45.7', 'target_level': 76, 'twist_class_label': '76.6.e.a.45.7', 'twist_class_level': 76, 'twisting_char_label': '57.26', 'twisting_conrey_index': 26, 'weight': 6}
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id: 45318662
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 505, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518685432283820, 'source_is_minimal': False, 'source_label': '684.6.k.f.505.5', 'source_level': 684, 'target_conrey_index': 273, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511348738588976, 'target_is_minimal': False, 'target_label': '304.6.i.d.273.3', 'target_level': 304, 'twist_class_label': '76.6.e.a.45.7', 'twist_class_level': 76, 'twisting_char_label': '228.83', 'twisting_conrey_index': 83, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 1207475
{'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 22518685432283820, 'p': 2}
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id: 1207476
{'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 22518685432283820, 'p': 3}
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id: 1207477
{'charpoly_factorization': [[[5301940966778037266008770871296, -199968859356645002405506596864, 17416855987316341865433308160, -515937866637477040613859456, 32522324605215599120181264, -850058829119765807328240, 33820282418425075560096, -562382544457672527024, 16796878410512090940, -182235863003254716, 5792633935619680, -38635011538024, 1306014959701, -3086592365, 211569494, -174581, 17650, 11, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 5}
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id: 1207478
{'charpoly_factorization': [[[-1233055145631744000, 53167521425264640, 1928158954033152, -19652044114368, -334655586976, 2542736868, 13902400, -92704, -168, 1], 2]], 'hecke_orbit_code': 22518685432283820, 'p': 7}
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id: 1207479
{'charpoly_factorization': [[[-15792471942908489666496, 30973025188546606224, 2007063245270803884, -8001493002002373, -31276588367368, 134453704519, 146426924, -687587, -160, 1], 2]], 'hecke_orbit_code': 22518685432283820, 'p': 11}
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id: 1207480
{'charpoly_factorization': [[[6057146349223626936354530636460406472400332427264, 71111731492104196401310976477755135162638974976, 815474130073201539731664720361919255091512320, 1849199120239169665783545260312404111427584, 9838494754110788807428981373783389017600, 6517968102503192712570533397200923904, 74693199457476106586067723949020224, 17886099852904723562892001387776, 309245994018602995614840867040, 19225603290037512879069040, 916729428665028542516868, 15606742310908401088, 1766913125495305309, -49775665263507, 2463225262058, -100940479, 1961430, -227, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 13}
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id: 1207481
{'charpoly_factorization': [[[162690227851018476106312074607284639850929351862448553984, 284002476062269330244722779641030183060103384312840192, 838222629198963560366343705343428085187056924360704, 633968353310770328946221602778257495098497433600, 1589243505818104185740694881781184960617775104, 1009603152083730977131469913351001828786176, 1919719921083010220783079307028507682816, 846479682032376753381671408535830784, 1376752121674556726274296310717840, 463084729028803952433226990368, 711821438269944171471878940, 165949911982303522576560, 247553125358060559429, 37790308727158707, 63161431950210, 5114803983, 9862822, 179, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 17}
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id: 1207482
{'charpoly_factorization': [[[3498743002442937227729601361122964878585526371203662724899, 1226489298739860366515754814914401045601261052245802468, 4136203403208079667076354063460142047957773408457472, 2434250142721647559721945892506992819579733829424, 3004010294861605739923254214662121667956216748, 2045977082270789755993912813696507704130276, 1464457856992752301332761350975732178003, 1240855430501492347783414067809765480, 605075855019534603457315010961884, 548804008430072985480958919488, 244366584300358993504425716, 202388194536743432221480, 96465687567916357097, 54428798269344676, 32274638969252, 10562267824, 7248128, 868, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 19}
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id: 1207483
{'charpoly_factorization': [[[75402133573050394105774285140166034857677737619548100000000, -457450064794454285994634919790206128039581135739620000000, 3281200577102956750828862758011001996043589432086760000, 2449474450004430331572487875118137724112938494072000, 5047276200712066256047409609515005246839076870096, 599320037157190709292971737233135335112032496, 2210805169290754860920092650087475218295632, -75981902474140020094969553026389043008, 757747927434929418928189053978541228, -106052712621085366919892327769004, 137114388340292094939102138972, -16418501598612759624656272, 15825281641222621927481, -1959012574736536137, 1113768359604122, -89398709041, 44751186, -3425, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 23}
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id: 1207484
{'charpoly_factorization': [[[9696706360814096883756797979709292587355560633442183572336410624, -14536672049324426923948669555397094647517091853986047510036480, 18368009708365161640834556993066805811925397983598226922496, -10934326193425388818877410111158319223578242029934737280, 6907194626249618390499136296975045341909411508213264, -3012798148738216028189675167634173099434341401776, 1495845709879227606423492807044291755789944288, -520162136413234671097124937994785346072368, 182532601716388740608916873574451816124, -43786287240840649826270609145458364, 11233525803707373830880045148288, -2061981860275906743616168064, 444727368002042979535549, -61471755887734205509, 10053122334757166, -861197973469, 125209066, -7349, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 29}
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id: 1207485
{'charpoly_factorization': [[[-91337762622013335060401639669760, -780300543162181671582479316992, -491383116468779232723252288, -4465784953840763002000, 49426332686599495056, 6591076477990692, -989114300688, -167296276, 4980, 1], 2]], 'hecke_orbit_code': 22518685432283820, 'p': 31}
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id: 1207486
{'charpoly_factorization': [[[-708509322241064288633592292240000, -1469964294802910244351899410880, 381386495330142917020798528, 311222319674465458016288, -91986213539390854248, -4630799241237276, 3092826215800, -174702136, -13222, 1], 2]], 'hecke_orbit_code': 22518685432283820, 'p': 37}
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id: 1207487
{'charpoly_factorization': [[[3303462002273143960109975765663002527786308934094378517349378515625, 7422799548498380050693088176509649668685848948920145424524140625, 16711373123069461932405364242324635259977575554534281217530625, 2617571149147815361281493345220977798955918027466413247000, 3170924189998350322648843802680151619369984007927558014, 722320504112944486616398238084425526909176536096630, 452594491578554139407309291693625884536219404006, 69473976073038197994512293557305959912625544, 22401192225795016776700575194599934780023, 1221442563628477388580758837150621727, 551858621599915506086832417943999, 6496332845800430583810409352, 11126137976655868850272054, -453152996942117269354, 102037756916691790, -1992308609992, 386322313, -7311, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 41}
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id: 1207488
{'charpoly_factorization': [[[5181959806595774320818933997343059403628759566321881344000000000000, 14152104391828344972323954257181606639469398211054394368000000000, 38583080873204311021849888999806591160909126683419646976000000, 6208695977714280715798392040217471972845477921883811840000, 9007500902581236962670411010833576677604283479772057600, 4176281299270904060599790105275835779786931593482240, 1867090726500809160856422938233378767285736446976, 476516969402297510765147805316904504301789696, 101670913381186403002481207466812910470080, 14527290003218750898828607697803752384, 1872592921860298125222903810672784, 171358686444029713137678095112, 17697430049054669730450889, 1247637047569413704091, 112961728986806062, 4760975065791, 379698838, 8283, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 43}
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id: 1207489
{'charpoly_factorization': [[[168105898139392419044104860808570809136021420593198997804566520768728662016, -23403542380189943006131663224976445632212741431374447315612253574610944, 9634727085124661944808949166240900806889498633364692371368029645824, -78695862289330487267401018290554978572792158673089401665212288, 216655199198051982738471659077900412920602359254987655112336, 6788040403535564812910761430834020471102448669470508976, 4022183602750235480795920694354977088612455749510432, 265957330642061798597158476971556298240580162832, 39105851233630340542786710719470182458986012, 2063184885324358972439872705989737238340, 202193472010891669003532468007452808, 9514267673608824358462372641548, 701981163325327966324170929, 25953007513934379302199, 1438596564851851442, 41903660395535, 1912969374, 37603, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 47}
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id: 1207490
{'charpoly_factorization': [[[5048657733529043127459885510334902720572113569064338336399213686097879896064, -397215011731162242818386440889360253462540479365068600151150836600070144, 170253844407408278852311999591845639978149731036149489292407961666560, -6542365727808552075391135513470612899464005535354424892088221696, 3334364912157531732683362017026163488802855783016861604015616, -111900958397749519967129018717975087358970504052749800192, 37378761807928894380956254707214868321927833458873408, -737783891638744154102651522358867775490881540992, 273144927924214836254456357616203916056185696, -6955989394045834009550988138862571216400, 1003852836533535278317292611218873988, -24623044557317889576115866176456, 2546948560651833278113094269, -59137059071724323561849, 3460270021546904626, -43357881060629, 2267852878, -20337, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 53}
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id: 1207491
{'charpoly_factorization': [[[21070001101153748881781624435895620225446807496547374670688093062217974681262089, -4025018026861803042588165974139076079609220822064226506776835324883187186255, 713567638998096198976385454087058351751207246191766406290734598016432453, -47604742809084020207666902201740786195504232032232705964759624769300, 4432330360408483502760052185628784862676530225882258474214092282, -252031577933219460919611557914570287351871176261725628677538, 17706129875558668765695939803410384222685494200373471326, -799919109412242108747357610050767480217721597095168, 39442284245985697523575578832451022813424725087, -1375543738469281369632228079503814012945977, 53949241039236186842088747059414869407, -1544143635081679148839365759908352, 47569026262708968970730570262, -1002448419038588907192618, 23327287366044483930, -357651739695276, 7129477477, -74455, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 59}
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id: 1207492
{'charpoly_factorization': [[[21205795273358770727864870053963974528822332596941493626034618455905048006656, -2093283298851541370196745378957333871334892845742742979340427718528405504, 1191347207911110429319586556256841593557480921436625328146309596805376, -165785898757809296396983502318909654957591805252986104065815773440, 57833423268754114459075983654380508799578824292801064896932880, -6358619072760212071016696660624761912045375697110282282704, 817150244008728323004329322795657958397474300326725792, -33746395844499370835337844701577736692522564206576, 2655286293154729192306824544751617052911689564, -57856494296497874352849901813059853249012, 5713459703647327833626603800504619712, -69260490086725340172211436593056, 7475261342119681107254640981, -16188084655381477045647, 6930515824571977902, -1910399499327, 3182325786, 7569, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 61}
-
id: 1207493
{'charpoly_factorization': [[[9256204926627884711579134152916822368593425081206200220053194381980677208414568281, 498732806983651685691118947048115701530839620908059608527044069616055944317929, 58772880936028636704164400317933003327379786965214442937119429304277822885, 1316938257888437841852641891535251425169954608400047987946802630051660, 153870265933649045171387468158766146493262243543923533326550225962, 2744797390030837607800562792924762372211303404906388559889790, 258279921159528972904073294685361025594933733889407266286, 3141723595985636823124709486825114048168179697328192, 279372828897788932059786836961976227417136361535, 3024912980157405340235042090698051782423231, 212038504800075009312134401176792036079, 1794881438566134766421389379399360, 109027627086821735576979870310, 824702554533188990337110, 38408940894285316426, 181133911740404, 7768368661, 26177, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 67}
-
id: 1207494
{'charpoly_factorization': [[[17367574936239310716261095940165488680851603958895922331192366483589135962214400, 3911417251462301326349308764316833293677404031153947581988048420546803527680, 1330688758513689590405627186061948978226697601639989284830156350297680896, 43998758458224158033669123610013748477435661474024347511392954741760, 28495406475065008374187865907263256883951693051996415613844726272, 2194786263335250215534529444109114321415675351806345106260992, 272000703767118071631545131444691228508920638669827460800, 7124713576596187238707364480376300235291627134904128, 420555318410856957242804929908109454464809328672, 6534957214896588009167054444910551337589632, 414891424520371705345731106088105517964, 4417749550010840473901420330836468, 198048986743255744811962363033, 391694706483082871766997, 53973233604256978870, -53391804438599, 10847901010, -53463, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 71}
-
id: 1207495
{'charpoly_factorization': [[[43143132039857672437631585549318255876084863952377835798380376633704768732600640625, 745132795332059244599999514491656761575162956543055916939130801052798091024375, 295019870851520323597150128105461585528430878173674646380958093695406617525, 13885545521776887612399210019745767636346179050476956743386078683305420, 1771111122585221949092502636552395862987158305161543026776856560206, 62546708098515696780014480517414971296979411520730561232377686, 3321499003413507493535670673083845480781616164914321668842, 67709429911102738867469149986300886929758782397874672, 2909304890791713993182407489172862427390860634147, 45901413140747374234532542540043669926794981, 1706499949696747998789692878660337843635, 15206338117925947240175476529870960, 507735822987702511266327987946, 2834502892791142325243126, 110541675080949784174, 307313940776492, 12536846917, 14103, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 73}
-
id: 1207496
{'charpoly_factorization': [[[1275099539663187940573764257755418187041116846978870074250274921086213932024070144, 90560726969716737493700013698076186345483840582894001845161854072310183493632, 33601000012071257342288801784532577648586315474019659048251807319100227584, -3488414737786799365168505057872530056496678238319974465292320810991616, 492690300769091647705497178464651512809603127039687345083399929856, -22054083822144141017527405524235454028878106310806454798057472, 1189106631719353895724681759683200412082963980510117572608, -26814971179578845682095590853291105901280295946477568, 1230248820968367413278044564735745765519019234816, -20877968288947575894061940191149028250619136, 865277178123518883258957092872110336368, -7664198506777276349987817981142432, 314052983201512954345315061241, -1880484659713589076222425, 83272908481639449190, -246647107958493, 11209186574, -31825, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 79}
-
id: 1207497
{'charpoly_factorization': [[[-24888063453027471748542523606685230896000, 20257020037606476515290810258677099120, -984230495333588260136676085302528, -39266922531804026294616380037, 1545519247926543104545620, 38020731823258649847, -511917348889560, -11706552339, 41300, 1], 2]], 'hecke_orbit_code': 22518685432283820, 'p': 83}
-
id: 1207498
{'charpoly_factorization': [[[860371343161287505717334074536333131341093727316386916488422658038789733006803206144, -57069730890388837437628905280179477100685142613548893115654179785185410930442240, 6439371738827197356566411063704979937427779824233329092122484539029813460992, -274604573471236526609261984255231593476986510212192913427941586917916672, 26019664633173736551265806480314121258342837825584684682401225637888, -1150097247202249567005573101579309322855086977085397023562301440, 49007635432631057448306959407802062129116130750473526069248, -1327406940533025077960083409426153660113522053825198336, 35032272210005492502864943661871168169216548340368, -699176492364290319306903790407818823873606720, 14471817812230642040895249147214112076924, -228476456294997602573741306713466088, 3516784280242303422172201043661, -38019635808753645735791445, 415300062324484694970, -3121899045395049, 29541644542, -155197, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 89}
-
id: 1207499
{'charpoly_factorization': [[[93820815824563843610575363254067597463365888718997968964170570051567884160674228515625, 9501461038339601954965819620926658929722053053663406217772231773637910567781484375, 1008124126154915238741685367892207906036732002179162150776515158614838767805625, 26539296047300987512216880162538559198109171980140783616185191004302686400, 1738248964383543952207060883894108921650187384330807715476988940742414, 38664754175796162366742250610072344395593336699505214284673737490, 2232887276359541595087491048555844686396963373867850728042350, 28167150764079933397657749067544275830072144459090087848, 711349511601017397123752749058441808558873746494271, 3198482725640660291368001063842067321213116817, 107181226699315662899888194368401073774983, 190147340476497687362904689179494824, 12035797327677111942179519399486, -12967617664625750477462734, 851391654749638553822, -1646469577269280, 42695596097, -111241, 1], 1]], 'hecke_orbit_code': 22518685432283820, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 6, 'label': '684.6.k.f', 'level': 684, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 44705443
{'hecke_orbit_code': 22518685432283820, 'n': 1, 'trace_an': 18}
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id: 44705444
{'hecke_orbit_code': 22518685432283820, 'n': 2, 'trace_an': 0}
-
id: 44705445
{'hecke_orbit_code': 22518685432283820, 'n': 3, 'trace_an': 0}
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id: 44705446
{'hecke_orbit_code': 22518685432283820, 'n': 4, 'trace_an': 0}
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id: 44705447
{'hecke_orbit_code': 22518685432283820, 'n': 5, 'trace_an': -11}
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id: 44705448
{'hecke_orbit_code': 22518685432283820, 'n': 6, 'trace_an': 0}
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id: 44705449
{'hecke_orbit_code': 22518685432283820, 'n': 7, 'trace_an': 336}
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id: 44705450
{'hecke_orbit_code': 22518685432283820, 'n': 8, 'trace_an': 0}
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id: 44705451
{'hecke_orbit_code': 22518685432283820, 'n': 9, 'trace_an': 0}
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id: 44705452
{'hecke_orbit_code': 22518685432283820, 'n': 10, 'trace_an': 0}
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id: 44705453
{'hecke_orbit_code': 22518685432283820, 'n': 11, 'trace_an': 320}
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id: 44705454
{'hecke_orbit_code': 22518685432283820, 'n': 12, 'trace_an': 0}
-
id: 44705455
{'hecke_orbit_code': 22518685432283820, 'n': 13, 'trace_an': 227}
-
id: 44705456
{'hecke_orbit_code': 22518685432283820, 'n': 14, 'trace_an': 0}
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id: 44705457
{'hecke_orbit_code': 22518685432283820, 'n': 15, 'trace_an': 0}
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