{"label":"109.6.a.a","letter":"a","dim":21,"charpoly":["-13347600053314858208","214359555563686045520","-674029858758527773472","-595701134743005678980","412196823511775437220","-14103577644763518096","-18975206093165015550","1503249438271286683","342877395517225252","-29779318337915178","-3222368801373630","241628105742557","18806478611202","-942608162186","-68291246184","1735713959","144727188","-1008373","-160958","-891","72","1"],"traces":["21","-8","-64","288","-218","-155","-293","-597","1213","-164","-1897","-2436","-245","-2197","-1944","1416","-3155","-3388","-5985","-10947","-6299","-5389","-7879","-7067","12949","-18013","-21169","-28341","-20026","-58743","-20523","-61817","-23647","-69473","-51955","-50531","-22934","-21397","-49644","-18164","-40806","11477","-5995","-70756","-815","-1725","-30578","-23958","4352","-6261","-2005","143044","-19955","20876","223","14428","70247","52762","-133009","208986","6194","74626","17696","174663","-57788","238664","22737","99311","54530","359053","-97514","285343","-62","232580","-194677","170475","48984","434685","-1958","-208315","134949","335538","-264465","354112","25979","252288","207514","384430","-248853","1100668","-111024","119234","-109256","163825","41303","912318","357330","238076","-122095","1117722","-382230","1341667","47895","-603766","328911","560394","-34038","190087","-249501","-109984","-317749","253110","-491326","-271689","-917650","-279543","-851668","-248009","-894679","-405835","-814840","-221510","-546924","-328685","-1510809","-414847","-57002","-1329945","-1551291","420473","-1606355","567698","-767265","39804","-1661834","-1639848","-708184","776551","-739839","-737886","-1131936","889377","-1465102","-875736","-1005856","39656","-613354","-1354687","-921868","1266261","5224","782144","-1120684","303319","-1175364","-1270929","-108473","31352","-1071657","2310415","63244","1609346","-487321","-1942857","830668","244342","-611952","666872","854912","644169","-2031546","1840437","-288719","2234085","-320662","-657185","-49301","518232","-2138543","2394006","-117920","280698","1707590","660700","1444983","1745873","225260","-198978","2081964","-149049","-1601953","-26084","1529054","-1030792","690353","-418259","-51475","838297","830796","-1084410","1766930","2008426","-2509957","2213990","3685566","275301","283782","6232404","-43226","3235878","156423","1260983","3549305","2565950","-3008369","562373","4333516","95048","539791","4458390","2656296","-865699","-1152657","-987945","4818799","928424","-3267841","5138322","1149680","199873","-118143","4615626","5907957","2312839","4388844","-3236368","5711761","6858432","-2651436","8397999","800658","227013","-1788371","972102","2373960","761507","1394298","-2481507","3678255","3422066","-6313148","543109","4686476","-8063636","6677797","3612192","-4502128","-372570","1446931","-13457531","302113","347821","-4797435","-6363389","1952445","-11124500","-1542429","-2696020","-1727985","-5332747","-3486092","-1597370","9479544","-5492068","-5940453","-1364671","3444111","-12937334","-1843136","191222","-3465378","-4477076","1366687","-12055579","4441485","-6686407","-2594275","-7793581","14597870","-15618969","-3417945","-2639705","-4738281","-4459046","-4930615","-2233522","5393228","7341845","-13849427","-15855265","2838052","-8618302","9184937","-1703608","-6420802","-12434157","-1293904","-6623823","2880916","2887877","-7314292","8694695","10675262","-16518905","-10107855","-1840614","1191853","-1742491","5736891","-22897285","2502812","-5075570","-11490767","-2054821","14525672","-5962541","760384","-3082314","-4157291","10097602","-9505486","-13904217","13035500","-6182349","-2833452","-911495","-867526","-11131030","-2898205","-12247510","-1167278","-2356851","9910862","7660387","26202715","2133120","-5129829","3282444","1965369","-14460113","-1294293","16655268","-724727","12386622","-3085129","-10792159","4353602","-5188220","-461451","11036559","16362164","-10714770","6124983","-2525283","15087543","-2781378","7607384","2832688","7250581","4679248","-8182240","1514387","8132114","10606511","14548298","127991","777626","17236258","1717988","-4706548","10315138","4975790","2418261","19140055","17115335","-12656281","15845813","17713052","-1137623","-7368251","-4546484","9918054","32110444","8521360","-15367755","-4029459","3675079","15167433","5724616","24340645","4834430","-7568442","10259403","-10986669","29704254","2917849","3896152","30822218","16588887","10724341","2475203","-13670593","23495476","-18587529","17572425","-25474777","17695280","6996469","-18255584","9739714","5892397","25818550","22334031","-8380631","626262","4594727","-4996470","23527349","37438743","5424338","-14169472","20749873","22287977","8449420","7255467","-3421728","97514","-4954297","6775085","-19502825","-10093349","-35016860","5188367","10676078","-7886655","-2570159","-20165898","19798872","-12997311","3908064","-3389161","-3629127","24589999","-7482457","-5939526","-15168328","-8303207","17496876","-8202644","-11758531","-24146054","-8744775","-29138222","2955363","14951741","-11932781","-49422381","6791014","9317139","37467969","-45330841","-20671314","5841863","4731774","-27818452","1858617","-1482271","38802254","-20976964","-25960863","-22678099","-21345828","-28283530","-14476069","-4287903","-38284713","-26482665","26530156","-6654549","-23016115","-9446049","-7622964","28215277","47789468","-51163533","-37682885","4711400","7406596","-31593333","-41226859","-2913886","-5511501","734952","-2597345","26830785","23627049","-36799749","12891122","-1826683","-11263134","-52883319","-8090876","5351010","25598486","-48229812","-20630540","-24952663","13322044","-33839464","47929731","-15441223","-35362768","-18597427","-11610607","-12189435","6244928","-30587196","27648644","-17566766","46988970","-27198833","-8411537","-13794164","13429265","-18719238","12474505","845876","2684038","-23774201","-54235375","12933853","-15286913","6671030","-15984589","2590058","-29634001","-59173771","69833904","-5614760","-31774329","-54195895","-41615417","22208996","17515614","-59569354","-677511","9003089","30667401","-14738700","63569467","-23544149","10715597","-3192235","-37615043","-34092101","-50347364","-50479414","48509213","34331193","37788242","-12776492","-24986886","-512654","28469519","-29597888","21737388","-14907529","62783420","-15268584","-25013924","-25225566","11816237","4804821","14452306","49396079","32958727","-2248920","59489759","-13018758","108875032","-49664416","-64484652","29922823","25017259","-15127546","-2500004","3390144","12841336","-14936696","66542042","42808946","-19318433","19476053","28538126","41017541","-35309438","-39452768","85764821","5801323","21728942","-4563190","-11265393","29373941","74277946","-13569209","27798897","12277152","47303525","-47424050","79269797","27842415","-30531600","58809098","-61744628","65701457","26374748","-37002843","56683181","-22747439","-31834717","16317244","2098458","45824177","-12727471","11275070","-87247643","1147850","103054844","-11540947","121735216","16266424","-37698903","-25928397","85273449","56928426","27585436","-19348936","74060951","26335145","30178158","-51343236","20088720","71666974","1841555","-38164222","13222495","38679086","35370291","-48421946","-1349879","7531286","9963276","-17020840","22691647","87852888","56956139","16114320","24344796","47987045","1102410","-8108772","-46489742","34823219","76446857","-59639244","19428549","71363531","78088147","19398560","242983154","37636997","-95818543","-47383733","-7272249","28374193","77980584","40177503","70608500","32282236","482711","-82574016","10677462","107055381","27925499","31205964","-56709473","35118959","42545712","-28891766","-108501697","-17367061","-82356086","-1088011","-52019215","20817053","-154186368","-48769597","21478512","17976511","9828589","-48979685","17519685","25769149","-89154647","67281191","-66293027","-3324278","-99087742","-56018911","-83887392","-37790535","75640676","54739522","-44475449","21315445","-100332500","-7044932","42552480","20500336","43518130","-124530456","-109033292","-22457236","27039541","19928665","-67954611","13518733","-55330204","-94014758","178776763","-53810932","-82158665","11160750","-65760029","442244","-35835198","-44709251","-16749571","6689045","-147921219","-77545156","-12519400","99883997","-88933177","45272421","-49750757","-49530164","49368440","-92223821","-192114954","71369309","-120604914","3481133","28077533","-65679849","-94696444","-6052000","-60735235","-63172849","60818853","-52957256","-186120642","47023741","-96879993","85694754","-142238192","5423924","5019939","-86712565","92606511","-56082739","67338916","12144260","-176659905","103325411","-37404864","-35493592","152240084","76497300","-99782957","18163563","-25140772","14818008","39529442","-67438998","-44265157","38664125","7458657","9145959","-112964602","-38150533","-31195139","15768658","-92000987","57752436","30979715","50678551","22552936","-35846650","-50938729","-78828238","-23600086","43543627","-123948628","-29934999","-346730169","13311594","126547315","-59561709","-4661880","19858507","-90516195","19251239","226187282","85886565","-167359789","-66872457","16785350","55625403","-66053226","83756137","85455735","102803517","10120537","169650906","-40175207","-69477005","126587502","-14598784","16393879","66460985","-53373212","93165108","-138635980","-35803529","-75498443","57900208","121557882","68417288","-307767681","-41016133","-49769957","-22270974","-26758206","195959521","-60886598","107125559","-51219098","15405662","-106753340","7002867","-85532836","66454479","16695960","56235790","-178979118","-120345578","84621397","-71736649","124791868","-4517185","7092957","15094919","-187122660","20887986","-133288514","53854389","70846056","9286623","151729666","-64186051","-70142319","61217571","245868399","83726790","-190602366","8117531","-138462604","2811204","184216164","-51473766","-222542696","-55610457","-37604646","187510064","-50795055","144183465","223410419","-64507054","-27772226","-28223952","35169132","173019641","-49465450","167865220","-132215685","32006944","95122181","-114902044","17907133","146037927","117413677","125925355","35339534","135441466","-187117152","97679597","120695178","21809724","111221365","-117399147","-52718970","30931399","1350949","13740240","66278403","171233635","61231833","-106062694","-103216259","31571069","106536116","166379604","79906255","176384737","-155756425","69037507","182976749","64099182","97663938","52036635","68457393","199372862","63716617","223908736","-106332631","-9619294","66250636","18044541","428737655","-61739254","27553879","143489533","108418034","82838046","-103106339","-81604788","182860278","-31333214","400776476","-17779384","151505027","-28294519","211560000","20890398","6026929","311609811","144506575","12593904","-158447657","-16497959","-13668938","137124222","30265130","38134731","11605628","51318247","104097324","27627559","197954790","-14411653","-213710853","68310410","2021595","-14382062","-77392291","122050285","-36145217","43639204","-165473805","149261949","43919520","49023825","36052305","-92303168","71103688","-162319053","243770528","-60664479","-31776267"],"space":"109.6.a","level":109,"weight":6,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[109,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/109.6.a.a"}