{"label":"84.6.a.b","letter":"b","dim":1,"charpoly":["366","1"],"traces":["1","0","9","0","-34","0","-49","0","81","0","-332","0","-1026","0","-306","0","922","0","452","0","-441","0","-3776","0","-1969","0","729","0","1166","0","-9792","0","-2988","0","1666","0","2390","0","-9234","0","-7230","0","4652","0","-2754","0","24672","0","2401","0","8298","0","1110","0","11288","0","4068","0","46892","0","-9762","0","-3969","0","34884","0","-26252","0","-33984","0","65440","0","-5606","0","-17721","0","16268","0","-9840","0","6561","0","61108","0","-31348","0","10494","0","-62958","0","50274","0","-88128","0","-15368","0","-37838","0","-26892","0","-56146","0","-26392","0","14994","0","47124","0","-221474","0","21510","0","54194","0","128384","0","-83106","0","-45178","0","-50827","0","-65070","0","173196","0","-245760","0","41868","0","-150268","0","-22148","0","-24786","0","-401638","0","374092","0","222048","0","340632","0","-39644","0","21609","0","-456042","0","-8024","0","74682","0","332928","0","110078","0","9990","0","185024","0","-3628","0","101592","0","192824","0","681383","0","36612","0","157142","0","96481","0","422028","0","-446868","0","805638","0","-87858","0","-81260","0","-306104","0","-35721","0","-747912","0","-577534","0","313956","0","-771098","0","557240","0","-236268","0","-57134","0","245820","0","-305856","0","-150064","0","-19660","0","588960","0","-158168","0","479808","0","-50454","0","-945972","0","-896848","0","-159489","0","234228","0","-1035626","0","146412","0","457114","0","-838848","0","-88560","0","676344","0","-96670","0","59049","0","-81634","0","-463752","0","549972","0","288876","0","1253632","0","-282132","0","-711846","0","-117110","0","94446","0","-1873680","0","-37740","0","-566622","0","-1376602","0","-781776","0","452466","0","653708","0","2069318","0","-793152","0","1879114","0","670156","0","-138312","0","354270","0","-569773","0","-340542","0","1696110","0","-1594328","0","-242028","0","3874176","0","-227948","0","-505314","0","331908","0","-1094588","0","-237528","0","1212488","0","1694362","0","134946","0","333342","0","-387112","0","424116","0","416744","0","2020194","0","-1993266","0","-1208928","0","1836140","0","193590","0","892568","0","-973518","0","487746","0","3250944","0","-117649","0","1155456","0","3398100","0","-34370","0","-747954","0","-2502390","0","-2224960","0","-406602","0","-3028000","0","-2271795","0","-457443","0","190604","0","-3209440","0","-585630","0","-54390","0","1515046","0","1558764","0","-1196316","0","643516","0","-2211840","0","4750816","0","-553112","0","376812","0","379574","0","-3481472","0","-1352412","0","334560","0","-5421330","0","-199332","0","-6206430","0","10046592","0","-223074","0","-793480","0","-4253974","0","-3614742","0","-2297708","0","-2077672","0","3366828","0","-725484","0","-6498666","0","1998432","0","-1815418","0","478338","0","3065688","0","-1965240","0","4335314","0","-356796","0","-1706752","0","6477480","0","194481","0","4326964","0","2140572","0","-4104378","0","482210","0","2400360","0","-72216","0","-1709316","0","8521642","0","672138","0","-5998570","0","-4594832","0","2996352","0","8843300","0","1286348","0","990702","0","-1544464","0","-889988","0","89910","0","-6560624","0","-2452140","0","1665216","0","1286492","0","7877720","0","-32652","0","637860","0","1075052","0","914328","0","-3206560","0","-4936460","0","1735416","0","226872","0","1908964","0","6132447","0","5374038","0","274694","0","329508","0","897328","0","-8191104","0","1414278","0","-9614190","0","4964300","0","868329","0","-9028224","0","7821833","0","3798252","0","7417980","0","-1602216","0","-4021812","0","-797132","0","12044910","0","7250742","0","7530116","0","4236948","0","-790722","0","527032","0","482160","0","-731340","0","-10257490","0","-4772952","0","-2754936","0","-5407772","0","-1842596","0","-321489","0","5389674","0","-8245524","0","-6731208","0","7434944","0","-1154078","0","-5197806","0","-2994292","0","-368520","0","2825604","0","-7164644","0","-4425984","0","-6939882","0","14553402","0","1536052","0","5015160","0","-10431984","0","416858","0","-2126412","0","1728118","0","-7908336","0","-514206","0","-25313472","0","-11376138","0","2212380","0","-8772710","0","14411020","0","-2752704","0","3084942","0","264461","0","-1350576","0","2203580","0","-12946600","0","-176940","0","8355840","0","-2463426","0","5300640","0","-4890350","0","1226036","0","-1423512","0","12109848","0","-15568144","0","4318272","0","9286974","0","5109112","0","-454086","0","451612","0","-1855082","0","-8513748","0","753032","0","-4402816","0","-8071632","0","3240984","0","21453410","0","-1435401","0","15698670","0","1854062","0","2108052","0","14024964","0","13655692","0","-9320634","0","-1138860","0","-18981868","0","1317708","0","-12719128","0","-6666060","0","4114026","0","22280558","0","1080280","0","-7549632","0","2751154","0","-476266","0","-797040","0","36974592","0","-11581488","0","6087096","0","-263568","0","1293208","0","-870030","0","-2295854","0","9283192","0","531441","0","4289144","0","-18954738","0","-734706","0","8715664","0","19545396","0","-4173768","0","15468288","0","15505428","0","4949748","0","-2309076","0","-14518752","0","2599884","0","272816","0","8544774","0","11282688","0","-8503982","0","10852226","0","-2539188","0","-48111192","0","-16658078","0","-6406614","0","21732590","0","19280448","0","-1053990","0","-3267960","0","-21726080","0","850014","0","-3742652","0","2056020","0","-16863120","0","-2655506","0","10015812","0","-339660","0","31764102","0","22747584","0","-5099598","0","1861192","0","-6290816","0","-12389418","0","-21405046","0","-6614324","0","-7035984","0","123352","0","2102704","0","4072194","0","17800630","0","-12381800","0","5883372","0","-21727932","0","-13589330","0","18623862","0","2213722","0","-6556016","0","-7138368","0","-171272","0","-19151593","0","16912026","0","-23167022","0","2490523","0","6031404","0","-9024640","0","29017238","0","-1244808","0","-38496654","0","-19845844","0","3188430","0","-17083288","0","-5342828","0","-5127957","0","3266880","0","26934552","0","-3064878","0","-8486604","0","-25380962","0","15264990","0","-25958022","0","4376660","0","-14348952","0","32330952","0","12042240","0","-2178252","0","11151744","0","15193512","0","34867584","0","-11417472","0","1023420","0","-2051532","0","-27391692","0","-36710772","0","-4547826","0","35226120","0","-20287856","0","2987172","0","7363132","0","-3169784","0","-9851292","0","-67141440","0","-4705910","0","-2137752","0","-29803014","0","1085252","0","10912392","0","10407536","0","-16231222","0","15249258","0","10975910","0","27300480","0","1214514","0","3503036","0","5751756","0","3000078","0","-10011974","0","25429008","0","-3484008","0","19680262","0","67254113","0","3817044","0","19636156","0","-652984","0","3750696","0","-12489684","0","-18330508","0","18181746","0","-7434078","0","20902056","0","-17939394","0","24490392","0","26217332","0","-10880352","0","-17565952","0","48746384","0","16525260","0","-18946160","0","2352422","0","1742310","0"],"space":"84.6.a","level":84,"weight":6,"T":[[5,1],[11,1]],"status":"proven","derived":{"al":[[2,null],[3,-1],[7,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/84.6.a.b"}