{"label":"50.8.a.j","letter":"j","dim":2,"charpoly":["-57776","-464","1"],"traces":["2","16","56","128","0","448","408","1024","3394","0","8904","3584","-3504","3264","0","8192","43648","27152","-31800","0","-31976","71232","71656","28672","0","-28032","319760","26112","-84780","0","-197056","65536","150112","349184","0","217216","195408","-254400","-581712","0","116244","-255808","275736","569856","0","573248","-971272","229376","-1260054","0","180544","-224256","-2007504","2558080","0","208896","-4759200","-678240","-1046760","0","-2625716","-1576448","-1738024","524288","0","1200896","1678728","2793472","-3257432","0","-3916176","1737728","2606496","1563264","0","-2035200","2510816","-4653696","-3863520","0","8214202","929952","5183416","-2046464","0","2205888","13696560","4558848","16735020","0","2670384","4585984","2220032","-7770176","0","1835008","12604608","-10080432","9554888","0","12121884","1444352","12728616","-1794048","0","-16060032","190248","20464640","-1077100","0","-22044176","1671168","-16618944","-38073600","0","-5425920","-33027888","-8374080","16195392","0","2253466","-21005728","-44906768","-12611584","0","-13904192","-49485192","4194304","11769208","0","271704","9607168","20594400","13429824","0","22347776","-4457952","-26059456","-2174920","0","74564984","-31329408","-7862208","13901824","0","20851968","-52988712","12506112","77849700","0","-34891696","-16281600","15741056","20086528","0","-37229568","121090608","-30908160","-135185712","0","51464424","65713616","101244216","7439616","0","41467328","52528728","-16371712","-81637226","0","-270617400","17647104","-69507184","109572480","0","36470784","43999520","133880160","-133874040","0","80498044","21363072","-82596848","36687872","0","17760256","210986496","-62161408","18445840","0","-102650496","14680064","310372416","100836864","0","-80643456","-87602032","76439104","101953680","0","243910184","96975072","-129787920","11554816","0","101828928","-173172568","-14352384","-79672800","0","-11165256","-128480256","-439393728","1521984","0","163717120","-94362624","-8616800","-58879712","0","4773504","-176353408","329354376","13369344","0","-132951552","-285954872","-304588800","151651300","0","-143150752","-43407360","-137700064","-264223104","0","-66992640","-417087360","129563136","-274465440","0","391452164","18027728","-50247064","-168045824","0","-359254144","357480000","-100892672","880858648","0","-727126296","-111233536","403233312","-395881536","0","33554432","13767168","94153664","232472432","0","756070740","2173632","-442457624","76857344","0","164755200","253316560","107438592","-266882220","0","-377304736","178782208","52153152","-35663616","0","-208475648","81066768","-17399360","98901568","0","-5561676","596519872","390778776","-250635264","0","-62897664","360844976","111214592","306885406","0","1065185024","166815744","-379371984","-423909696","0","100048896","1316633920","622797600","285035088","0","27909944","-279133568","407067152","-130252800","0","125928448","-12413112","160692224","-117929752","0","-282449136","-297836544","710639136","968724864","0","-247265280","-225024272","-1081485696","-634566960","0","-833291256","411715392","-44044800","525708928","0","809953728","-985901200","59516928","-910463688","0","161962184","331738624","-1209266224","420229824","0","-130973696","-591358272","-653097808","132696768","0","-1001094912","-2164939200","-469106160","141176832","0","-556057472","-687112152","876579840","-134208940","0","-1081540320","291766272","1129047296","351996160","0","1071041280","-706177024","-1070992320","-974232240","0","1132007722","643984352","-820179752","170904576","0","-660774784","-1269588552","293502976","-2499783532","0","143298384","142082048","-58103184","1687891968","0","-497291264","-1104956640","147566720","-175791080","0","-593045576","-821203968","-967097464","117440512","0","2482979328","694645592","806694912","2122899780","0","2448138944","-645147648","432878112","-700816256","0","611512832","3037708848","815629440","477468000","0","-2419749276","1951281472","-258290688","775800576","0","-1038303360","1310206016","92438528","715123660","0","3418030944","814631424","-726700640","-1385380544","0","-114819072","535195040","-637382400","2431830120","0","-2222378116","-89322048","4050345016","-1027842048","0","-3515149824","-472108464","12175872","-2199330624","0","682657824","1309736960","-2055636864","-754900992","0","-68934400","2145280800","-471037696","73839600","0","-3129914838","38188032","3127865496","-1410827264","0","2634835008","5740823600","106954752","-1382505060","0","1288103888","-1063612416","4716120512","-2287638976","0","-2436710400","-1550236512","1213210400","5855597440","0","-2132405556","-1145206016","-6919056504","-347258880","0","-1101600512","-568772472","-2113784832","-1035880088","0","5017652624","-535941120","1162799072","-3336698880","0","1036505088","-7829367888","-2195723520","-5981760","0","1803861984","3131617312","-1187746528","144221824","0","-401976512","-3960633192","-1344366592","6668825048","0","301864584","-2874033152","-4550065920","2859840000","0","-807141376","1509285696","7046869184","3563318280","0","4231100184","-5817010368","4971096936","-889868288","0","3225866496","-591307928","-3167052288","-1760047980","0","1454756384","268435456","-9254750400","110137344","0","753229312","-5952272544","1859779456","-6664835152","0","-6810319116","6048565920","-219866664","17389056","0","-3539660992","-5600466944","614858752","226606474","0","2328941080","1318041600","3552945312","2026532480","0","859508736","2600624480","-2135057760","-5326445208","0","-6249258196","-3018437888","4011570832","1430257664","0","417225216","5183106888","-285308928","-4964140852","0","-8679927600","-1667805184","1374203520","648534144","0","-139194880","10240841328","791212544","-798880272","0","-894522112","-44493408","-9090793864","4772158976","0","3126230208","-1257795592","-2005082112","-8990260980","0","7833319784","-503181312","12152205312","2886759808","0","889716736","-3692921472","2455083248","11907979648","0","-4092644136","8521480192","-7673798208","1334525952","0","-3034975872","9380579688","-3391277568","-1695072000","0","-1272910096","800391168","11038927296","10533071360","0","4982380800","14724181440","2280280704","-13164160080","0","14213037364","223279552","13875526216","-2233068544","0","3256537216","8605357368","-1042022400","1484025840","0","-6235658256","1007427584","-7678300944","-99304896","0","1285537792","-5611766432","-943438016","12965923960","0","5781984880","-2259593088","4920792080","-2382692352","0","5685113088","-17877456000","7749798912","8887204992","0","-12823769456","-1978122240","-20446755168","-1800194176","0","-8651885568","3588776208","-5076535680","-25111235472","0","5135214564","-6666330048","-2687520264","3293723136","0","-352358400","-4593031272","4205671424","-5833116320","0","3212432128","6479629824","755282896","-7887209600","0","476135424","-2961025888","-7283709504","3675433800","0","980641564","1295697472","-8595545088","2653908992","0","-9674129792","-16681267440","3361838592","19557936328","0","-11544458832","-1047789568","15566289216","-4730866176","0","-5224782464","-17778196592","1061574144","-2414451968","0","-4339021016","-8008759296","-17565573224","-17319513600","0","-3752849280","1025609200","1129414656","9677243808","0","3048047864","-4448459776","-7692546848","-5496897216","0","7012638720","10628057856","-1073671520","21674683808","0","27311036364","-8652322560","14062747200","2334130176","0","9032378368","1999283536","2815969280","2843539620","0","-23855286240","8568330240","-13629344768","-5649416192","0","-8567938560","-20425685120","-7793857920","-7174230240","0","5916954664","9056061776","14846572592","5151874816","0","-6561438016","1559607768","1367236608","3209586634","0","5337497664","-5286198272","22167967056","-10156708416","0","2348023808","4323204256","-19998268256","1414628840","0","24476817600","1146387072","-9182933784","1136656384","0","-464825472","49996744952","13503135744","5909137992","0","7660996384","-3978330112","-9334944288","-8839653120","0","1180533760","17330615568","-1406328640","-15698042464","0","3200531604","-4744364608","6470468400","-6569631744","0","-7736779712","-3884162880","939524096","14194031100","0","-17594320896","19863834624","11907653616","5557164736","0","6453559296","-3344307904","16983198240","28204558800","0","-12158962752","19585111552","3769264800","-5161181184","0","3463024896","-2768500152","-5606530048","-35643035672","0","-7576454976","4892102656","5308244832","24301670784","0","6525035520","23938786288","3819744000","-38292820928","0","16344544940","-19357994208","13713905792","15610251776","0","-2066325504","7579459440","6206404608","19670284620","0","-28530443896","-8306426880","-22017966208","10481648128","0","739508224","-6910528800","5720989280","3265056048","0","-12506146596","27344247552","8616057576","6517051392","0","-5813605120","-12651773912","-11083044352","-4187220300","0","-24632562896","-918552576","-24524608896","4281560320","0","-5099059200","-23164180480","19454640960","-29209881840","0","10748548382","-17779024928","-39231350928","-714576384","0","32402760128","6642644664","-8222736384","-21763014472","0","30361822224","-28121198592","13005499056","-3776867712","0","97406976","-27556261152","-17594644992","7617391960","0","-2243801872","5461262592","-30793825464","10477895680","0","-16445094912","-36870965432","-6039207936","-12257850240","0","-18299783856","-551475200","61276355776","17162246400","0","-3768301568","-13673486352","590716800","-18814413552","0","14572641924","-25039318704","21800436216","305504256","0","25022923968","-15070015272","-11286618112","-15642757768","0","29864500904","21078680064","-48055389600","45926588800","0","855638016","-123260736","-11060040480","28409063040","0","-30543866496","10304831104","-4376078368","-8508899328","0","37728964096","6896743848","-18301111808","24359483548","0","22471842144","-19493683200","11305000032","-12401892096","0","9705683200","-2921465184","46844779520","-46444497360","0","-44659370136","-17059244448","32580922752","-9161648128","0","-55352452032","-4962074648","-2778071040","23646562140","0","31084151400","-8812804096","-57242918208","-4550179776","0","-16910278656","50257986528","-8287040704","75954253408","0","12705756684","40141220992","45053988432","-4287528960","0","9302392576","-27543099192","-26693591040","5718623808","0","17529975184","8292040704","31320664736","-62634943104","0","-17565788160","57982633920","-47854080","-25709397408","0","-25953169854","14430895872","-46639768344","25052938496","0","-9501972224","1825201368","1153774592","-69104505600","0","-2137673016","-3215812096","-4616333280","-31685065536","0","-10754932736","37349587968","53350600384","77948533040","0","-55349413100","2414916672","-17795919064","-22992265216","0","-36400527360","16342781536","22878720000","6441808008","0","-40327078336","-6457131008","56264665952","12074285568","0","56374953472","2138306448","28506546240","1580014240","0"],"space":"50.8.a","level":50,"weight":8,"T":[[3,1],[7,1]],"status":"proven","derived":{"al":[[2,-1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/50.8.a.j"}