{"label":"52.8.a.c","letter":"c","dim":3,"charpoly":["-536640","38308","-548","1"],"traces":["3","0","28","0","520","0","-736","0","5617","0","-3620","0","6591","0","-1920","0","38188","0","58364","0","150206","0","73680","0","-19025","0","132328","0","20298","0","439296","0","741876","0","171520","0","555008","0","61516","0","-1234430","0","-535132","0","-781470","0","121816","0","1023165","0","-3183192","0","-1984586","0","-874160","0","-2229628","0","-34468","0","476750","0","-4877224","0","1142440","0","-755412","0","2953080","0","-8301952","0","-3261498","0","180100","0","11733628","0","-13832160","0","8668315","0","-339876","0","13121710","0","11222256","0","17006782","0","-1616992","0","20422712","0","8877640","0","5106902","0","-270828","0","190358","0","-6719752","0","14717670","0","11806740","0","4196888","0","-31474480","0","12352134","0","4201560","0","12340549","0","-41655128","0","-3294353","0","-3834960","0","13523250","0","-77830952","0","-44436322","0","14133308","0","-59898132","0","-35166600","0","51425794","0","-81746732","0","-24773754","0","-7953140","0","42978360","0","-214459140","0","56380098","0","75987568","0","-32391690","0","12688880","0","44114442","0","47244432","0","-11518008","0","-45260604","0","31300980","0","156662904","0","14480427","0","115274684","0","75271510","0","193859400","0","-121282644","0","6166236","0","-25966314","0","-33589696","0","102495790","0","-269290736","0","77368970","0","396163352","0","29337194","0","-4218240","0","216876228","0","111404264","0","92868380","0","286784472","0","-40898540","0","265276152","0","-255515624","0","-156677636","0","-615720054","0","285994960","0","-65993144","0","195744272","0","83899036","0","-311220888","0","-826944125","0","250216948","0","-553827388","0","-720016824","0","216335652","0","-565166000","0","-314313184","0","145731528","0","232161038","0","705135844","0","67643970","0","128225708","0","-714381576","0","-159283852","0","46897776","0","-27663960","0","65806164","0","-665838192","0","-462412698","0","-63869408","0","-839802980","0","636026424","0","1390332734","0","438297912","0","330002582","0","138476300","0","-1427592370","0","1763488496","0","140068382","0","-158864124","0","-191929980","0","971964472","0","472615939","0","-1776044464","0","1023991240","0","391731200","0","1048722444","0","161874960","0","751663122","0","-413589912","0","1090775500","0","410716148","0","-1504672168","0","1879052472","0","-18617768","0","-1097874000","0","-878232054","0","766808472","0","2335452072","0","1462822696","0","-41797925","0","830052512","0","-2294644550","0","1013899188","0","805678994","0","-1966579480","0","724654000","0","-3700913160","0","445679600","0","-3356073848","0","-150883560","0","-1853437164","0","318569584","0","290724616","0","2643758818","0","-1897590160","0","3670557798","0","-1093142088","0","-834930969","0","-2593891508","0","195973160","0","37642832","0","-4668875598","0","-113192216","0","1755350566","0","1556973000","0","44594706","0","-1476934772","0","-2945689936","0","2183747208","0","829349260","0","-6386478700","0","-1261366438","0","-4429800","0","-159654378","0","-2509595920","0","-647505614","0","5125425664","0","2153923794","0","965133312","0","1117195560","0","-3078839216","0","64253394","0","220895760","0","-533299900","0","2027476920","0","2814289478","0","-2178627316","0","-520808032","0","8215112016","0","1784607350","0","2538491160","0","1629901572","0","-249410056","0","-1272971504","0","1430526600","0","1074947088","0","2197616720","0","2533595109","0","-3019284188","0","2395368400","0","671205576","0","4094550966","0","2273757976","0","4975285442","0","376829440","0","-2485193594","0","-5907447168","0","314368872","0","3005417216","0","-1069569960","0","-2428484948","0","-4189941356","0","3470555072","0","-1351428116","0","-1790856300","0","3389413830","0","-5849944760","0","1219352576","0","3137492088","0","1373976160","0","6614372696","0","-5229439672","0","-7097390076","0","-1326653520","0","-1578030840","0","-7504254442","0","-5110948796","0","-918843360","0","7585804616","0","4519107500","0","135150652","0","-4660817502","0","6629086312","0","-928140388","0","-4504838000","0","-2795146964","0","3319042392","0","-11348857864","0","10638217172","0","-8695257400","0","-1260959920","0","-7537314741","0","-6036717372","0","-2712042710","0","-2232191640","0","-1340311002","0","-16194719388","0","-2950298820","0","15799667672","0","-4863724130","0","4415084796","0","-13171838434","0","-3234652872","0","256825696","0","-1853594400","0","2109687420","0","-1175685004","0","10014721620","0","-3977075380","0","5147271840","0","10344867392","0","-4524292968","0","13508893844","0","7586190516","0","-3858213000","0","6621316678","0","-1713159544","0","-3908314056","0","5942078344","0","-1716889590","0","2918363660","0","6003167344","0","11536967568","0","885139470","0","2508376720","0","-6597214204","0","9257926416","0","3471287364","0","24317143820","0","-6462666160","0","-13391537352","0","-12241550100","0","267629752","0","-4200101110","0","5289586440","0","7893622122","0","-2278618980","0","9812133576","0","1219200160","0","10690541875","0","20407636464","0","17414431846","0","-1861166048","0","3004860566","0","-16130789640","0","2247893505","0","-11368487112","0","5653035550","0","-4369562148","0","7657633590","0","9927847152","0","-7305501784","0","18243459568","0","-151691258","0","-5791044880","0","-15707804566","0","-17400909780","0","6100659890","0","-6993472824","0","-2363671460","0","-147965472","0","-24888603574","0","-1472854136","0","17593604252","0","-22523030600","0","-3755445650","0","-27044431128","0","37141960152","0","2942038708","0","-18932957900","0","-28095631552","0","-4360135442","0","-1114577572","0","35272958472","0","-27152912160","0","-11431348580","0","-25681279800","0","19117079918","0","19668485928","0","-15314682450","0","8078358800","0","-32124242270","0","-25093369360","0","17142783456","0","-1920529520","0","-17363441154","0","4622797344","0","-30668997240","0","-19531730392","0","21924638250","0","17556801264","0","-20621724281","0","18087844648","0","9814692500","0","-13368127320","0","4569151112","0","-17932423036","0","-4898492716","0","19614606864","0","21410380920","0","-32273363652","0","16790432232","0","13597402152","0","2730004944","0","-11765890800","0","37875867670","0","21700462896","0","-4923484330","0","-7058204256","0","-10444206600","0","-75726196","0","-849884334","0","66271477416","0","87566016","0","-28030570000","0","53946731470","0","-29921483672","0","-26239568620","0","1480051272","0","34233441080","0","26278876388","0","-26886605472","0","-50653433472","0","1047419750","0","-7669733160","0","33733410914","0","-12990398024","0","41375689290","0","20081824808","0","-139001400","0","3826453152","0","22537242616","0","23249099524","0","-13011309514","0","5803691600","0","-9495169764","0","-10715261128","0","39226634424","0","31018430160","0","-55451472000","0","13004848340","0","22487121698","0","5930582816","0","70791532710","0","45036666240","0","67319313320","0","-1236122888","0","-24166348467","0","37341200088","0","2509940680","0","-56492212512","0","-55431998296","0","7535221752","0","-6088528396","0","-1451806200","0","9998070150","0","10829913860","0","-89997071112","0","997061576","0","-41975357660","0","-54928621244","0","4287512384","0","-1659640164","0","-4478174110","0","40096224000","0","-51720617332","0","-29556416832","0","7759978732","0","-23082617956","0","4123752780","0","-17681807424","0","-22642781008","0","49223505276","0","22345636636","0","-21716369280","0","6487916760","0","-2330071392","0","-61759112204","0","-47077615592","0","-10405719460","0","3950380820","0","-63213399882","0","41363265752","0","-43191481344","0","22178440680","0","-34211468806","0","-46661655576","0","-70491046324","0","-18239388544","0","-11526200550","0","27743684024","0","55368189674","0","77556616716","0","-3231368796","0","-21752540600","0","-80558808906","0","90355946168","0","38679532156","0","-39502684080","0","-14813283870","0","20682308308","0","-7165511106","0","-56448183336","0","25007169816","0","88191709160","0","-48867279192","0","-105612275240","0","28331840259","0","90053142900","0","4202862820","0","-31223271712","0","-93972284988","0","-37110956","0","32166951338","0","395679700","0","81213174678","0","10096091224","0","88179848618","0","-12567570096","0","6564245250","0","101503199040","0","-42020826360","0","4352192560","0","-32549474368","0","32421707920","0","-9183981622","0","-30550410520","0"],"space":"52.8.a","level":52,"weight":8,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,null],[13,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/52.8.a.c"}