{"label":"68.6.a.b","letter":"b","dim":4,"charpoly":["12125736","-512584","-9558","78","1"],"traces":["4","0","10","0","-88","0","166","0","804","0","594","0","1176","0","2260","0","-1156","0","4060","0","5256","0","7218","0","6404","0","7048","0","1832","0","-5274","0","16296","0","-9796","0","11072","0","-45680","0","-25168","0","-964","0","-11440","0","-52352","0","4524","0","-2890","0","-16592","0","-82860","0","3288","0","-28956","0","33224","0","-81910","0","-9672","0","-10008","0","9792","0","49650","0","83576","0","-80730","0","215568","0","95722","0","267660","0","-32292","0","25432","0","-91508","0","15808","0","-27696","0","338272","0","-128680","0","390144","0","-12402","0","-664","0","104488","0","12376","0","61338","0","214528","0","-257788","0","-268864","0","130788","0","-502736","0","-47974","0","281236","0","-358748","0","-388368","0","-48100","0","-278320","0","-581710","0","-55352","0","-556832","0","-25608","0","789950","0","-431512","0","-586272","0","25384","0","-906882","0","-429000","0","-334356","0","-232356","0","327564","0","547008","0","-352204","0","-255648","0","1888098","0","-234504","0","219922","0","1252724","0","1636964","0","-560032","0","1927466","0","-377712","0","658716","0","-1184768","0","-502396","0","-1381064","0","-171666","0","1665432","0","-271432","0","674952","0","2358960","0","409088","0","362726","0","-2067272","0","1452356","0","1483504","0","2187342","0","371208","0","1078670","0","-561624","0","-2475416","0","2095728","0","-1509196","0","-339864","0","-27052","0","-4605596","0","-842918","0","3366760","0","-2039940","0","-1164480","0","528368","0","-1693056","0","-1535552","0","-479664","0","4427734","0","-3343344","0","356160","0","-5793936","0","-116472","0","-1416360","0","-653140","0","1727208","0","-1333780","0","-6719488","0","2634420","0","844640","0","-875872","0","-3901464","0","-1612816","0","2177912","0","5223774","0","3937936","0","-3307910","0","1425504","0","-2781982","0","1857088","0","-5189284","0","334084","0","3899356","0","-2898232","0","-5608776","0","10410264","0","3387168","0","-729664","0","-6251072","0","3005704","0","4039008","0","10615488","0","-11382","0","-513272","0","6173876","0","-1201768","0","1037196","0","-4294512","0","-1173340","0","7736376","0","-2375436","0","82648","0","4610588","0","7408488","0","-7233264","0","895824","0","10222828","0","5826792","0","-1223800","0","5002392","0","7231562","0","3520272","0","-19905968","0","-508960","0","-8775852","0","-1518984","0","2877684","0","-4290252","0","-3141674","0","3872464","0","-1616450","0","531056","0","-8476340","0","595720","0","226920","0","11095272","0","-579286","0","-10750576","0","-1661276","0","-19699416","0","6368340","0","-2394680","0","-2086002","0","11042800","0","-4639660","0","-5076352","0","8739304","0","-4965024","0","-9280128","0","-8937568","0","1435524","0","3703672","0","191904","0","8583648","0","-16784184","0","5583224","0","-751722","0","-5745512","0","-22165232","0","-1850756","0","330284","0","-8478024","0","-4977046","0","4045632","0","7641032","0","8142696","0","-668110","0","-9723036","0","17489736","0","3206504","0","26590044","0","-226424","0","-18576588","0","-6643712","0","1181616","0","5454784","0","-2036872","0","-8626384","0","-6911008","0","-9733848","0","25812156","0","5521656","0","7245940","0","8590464","0","-1612060","0","16788256","0","6024214","0","382248","0","18107676","0","2228832","0","-7826738","0","6153208","0","-5256932","0","-529448","0","21370620","0","835512","0","-4429162","0","11707688","0","12656998","0","-6197192","0","16094254","0","-1848280","0","-14101300","0","12820176","0","19254896","0","-4351512","0","24632668","0","-12451552","0","16981816","0","-18734344","0","1524186","0","-4439972","0","-23297556","0","2056128","0","-12990156","0","-1904904","0","9277734","0","-14092560","0","10155012","0","-20062072","0","-8750006","0","-15221472","0","-9230104","0","-13887680","0","6121112","0","1835192","0","-12996144","0","-4709544","0","4197668","0","11054896","0","12833762","0","-1689744","0","4968086","0","-22472072","0","-6270402","0","8574600","0","15896260","0","-10821600","0","-20960604","0","-3487992","0","8546412","0","-12498024","0","-41492372","0","-3648288","0","2831044","0","2525072","0","26729072","0","-9435872","0","-35089832","0","-51798160","0","3401566","0","-20164952","0","2130960","0","5056728","0","-6280888","0","-24624096","0","-13224182","0","-7193688","0","19108960","0","29834204","0","34034520","0","-3199808","0","-23571892","0","8415680","0","-14738600","0","21881664","0","30146334","0","-5286320","0","-10113302","0","-6970960","0","12863872","0","40354080","0","-38918572","0","7668056","0","32220676","0","24671928","0","-16060752","0","48337384","0","13201520","0","-408832","0","-3112356","0","44202824","0","-22848540","0","9036712","0","-17990472","0","15019040","0","4659972","0","-22153432","0","2495202","0","-3099960","0","29230344","0","-12180432","0","11317066","0","12485736","0","5478124","0","7273552","0","-31301796","0","8163720","0","24246296","0","-17985872","0","8181152","0","67040504","0","55290710","0","-24193992","0","-29968368","0","-24760216","0","46950018","0","17963104","0","-32583788","0","75938872","0","-9851024","0","53892588","0","278596","0","19773288","0","18904908","0","23489208","0","-35919780","0","-84105424","0","-7858762","0","42487920","0","-17856684","0","-55854120","0","-63440518","0","-6779256","0","4316472","0","-3261784","0","47295492","0","-11137160","0","-5276516","0","3306160","0","-18740208","0","38040488","0","-64734792","0","-16574712","0","22993386","0","38984664","0","-15214984","0","37550016","0","-77112608","0","-78500304","0","-39971490","0","18992112","0","16452788","0","72821736","0","-10886264","0","5493256","0","15129728","0","-94701080","0","-64985148","0","45886632","0","-60462108","0","-9876968","0","-55478586","0","-26185960","0","-49749420","0","16510640","0","-117763360","0","-32795136","0","41109738","0","-97734984","0","35648590","0","-20650368","0","50252508","0","-1307436","0","-30093676","0","78616984","0","29395422","0","13796900","0","-10802028","0","22305208","0","70158394","0","-68020408","0","15526068","0","23160728","0","-32242456","0","-54538072","0","-16546396","0","28342672","0","3246096","0","111990424","0","835210","0","-23214792","0","50767296","0","136155280","0","-146032776","0","-17774160","0","52413580","0","-10814944","0","30608480","0","-23272752","0","-18809730","0","-15305296","0","120736182","0","-68896976","0","51586008","0","-84370584","0","24337524","0","4795088","0","5792088","0","148114232","0","42205314","0","-128568448","0","56971742","0","5875680","0","60170744","0","-860008","0","1788520","0","54145648","0","-29726928","0","-13995008","0","92985272","0","-10748128","0","235284","0","143849976","0","23946540","0","-13307384","0","20792292","0","-31019040","0","-1274028","0","-121984208","0","-21131826","0","105945360","0","70810924","0","59295328","0","-14478272","0","-137960760","0","64075680","0","-1711492","0","179624406","0","-49235520","0","-73766132","0","-950232","0","2836244","0","-13865968","0","121849840","0","-22514752","0","2954448","0","95396984","0","-42603854","0","-5653304","0","-107584528","0","-35428464","0","18378338","0","-127591216","0","59312812","0","-9305504","0","40831328","0"],"space":"68.6.a","level":68,"weight":6,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,null],[17,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/68.6.a.b"}