{"label":"53.8.a.a","letter":"a","dim":14,"charpoly":["-19272378287851051652800","2551728827283081067160","41197958629672114836","-12547592145144646792","37222431383262342","23125397027566277","-125086856832391","-20608246011552","70576358220","9358400554","519086","-2028628","-6910","165","1"],"traces":["14","-16","-149","768","-374","-615","-3076","-2274","9097","-5559","-4120","-18309","-20959","28280","20672","54268","-62901","-170973","-152601","-331149","-176518","-379857","-98093","-498423","31260","-431039","-438557","-695598","-264851","-656452","-212914","-491828","-743670","-205636","-487064","586071","-650035","-145411","-111621","-903909","467884","206512","-1805618","2160505","-751048","755350","-174602","1054389","1708398","3512957","-611009","-3472325","2084278","10600833","551948","8431416","10332417","466277","2390638","22456902","946836","6729811","-3364900","12806668","6596454","15786734","-5060238","-2558862","830693","-632842","-6541385","-237741","-13324340","20397869","-24740691","-13893427","-15111744","26004415","-12751459","-16371677","-19306562","1995672","-13144961","13535422","-27935232","7994475","-26562063","-43639287","-8449166","22004225","-26460852","41142746","-47811048","-22729230","-4154364","-38666483","-14511129","-35898696","-5229660","22995861","-32945492","59332821","-30640349","-8980089","-63926652","-2382032","-52750894","-12634827","-23565672","91522133","-2920579","-68763178","-11672387","-27855485","-110313712","-30203663","-16965168","26076605","29186728","56191360","16381720","5534854","30285210","150834209","-24540414","171702106","-17696797","91352362","-4646152","187311848","-37438898","75933460","37332854","127532016","46007696","153244616","27121128","266101","-60947302","217310242","42793650","7266431","48775172","230278863","49811874","139287684","55595123","-186395659","133911467","190971777","-169457915","52542753","48134998","172549382","-88625444","108918353","-79848674","158633498","-22182673","-423277265","174350598","-101723154","-85462394","149995436","111784476","-329607973","-115287053","-137969496","-59300663","142534763","-285003588","-578565583","-17182514","299402411","-316715576","148563621","139308322","-437570021","-199819353","-649923315","66889076","-285789198","-177894520","-361939048","-39365298","-244583840","-414076576","332820706","382980578","-504770126","16581953","143968699","-166256784","-380682994","-348068336","-519258168","358289336","-598215067","-221894052","633072793","-312068256","-454199797","220548620","-598243649","-211219032","-267824171","65749964","-1311078713","113176686","815854588","-661981226","114337536","531089443","416279256","729244800","934488273","-75987764","-108866573","530087752","-633507307","1050859119","212698635","-85152022","905103552","1349445933","-754912652","339968438","1176108557","507876369","-333194865","1592045908","-824673853","585824086","103895812","-395524340","318622457","1073966785","-1041817200","1110784130","1796525206","647646607","-285687383","220978012","-1357686504","1279133294","-298881358","-449815217","589106601","1682127141","-766577357","699579146","-1254828482","359675148","-707452246","749949004","-584779580","205694450","958502592","368699584","1744099758","1365139704","5608808","-92381394","1086658806","-55679998","-362589188","-506919850","-191419338","1312208549","-1835066458","-1127680850","-2043614218","1843061554","125111832","738058060","-62655381","-987833620","670694292","226004580","-2341896794","1098713911","486007238","-2729758771","-2296055791","-414606578","-357210610","-1068502060","-1321403861","-581537741","2425731142","1331900157","-1008447858","-191307004","1226270705","-2080050728","2677541879","-1666912926","-1096851871","-3507622849","-5118836221","282023712","-2778742525","645835958","-1883630881","-121083856","186459171","-3354407260","-3085492450","2067214777","-2031946761","216626828","4224971411","-1249876134","-934808087","-210752796","657221800","-174858693","-91559355","-2126894016","-254866053","2013091840","-541833306","-1608813809","-1756277988","-1981471433","144753929","-2397042836","-35741752","-2730556240","-3955244650","-897156344","1688288735","-1541599204","691511790","-2730326608","677666850","-1517442854","5458890313","-3126820597","469264641","2900842394","4187320774","-1000004492","2604355333","5185389214","3278435551","1162148562","1401711883","-450047806","3596256626","-1374595701","-991026755","1985835886","304816904","-1520314132","6258874955","2174726302","1537508191","-991224923","6018261535","2110681373","805932840","-2013383649","3168254148","1200225312","11013126014","-5854749858","8343766388","1134020190","1753829762","-457945652","-1695540610","1492254456","3236657437","-1377314676","-1510740794","3418560039","-3230056328","1455728169","10028518264","6079787279","2976929236","-7533172842","-7157549875","6479088800","-1081720736","-3126679816","3811154786","-1406415740","-5044615086","-2462879897","-3768515862","893538992","2097262864","-1315808220","10705086253","-1245049474","-1951553206","-9017507732","10595561137","7041971674","8206609570","-6030297998","-7242428747","-684478294","3460246674","-8933404916","6763321433","-1295225959","-4087616298","-4461159760","1329649429","3063571832","-2418869345","214616968","-2793676491","548725648","9732874764","-6056314202","-11311968404","5550818670","6251336929","-2470107012","-338546298","-1037465309","7380335719","-5387001748","-4048684102","-3469711338","2207458007","177837576","-4668719853","1448088113","697265674","-8374101900","-463186673","-2659332725","-3197119254","-1403074822","7641871915","8324993405","-2015230131","-5983385593","-15769194773","-5715601102","1530558196","-15804905519","871492902","1572015789","-8571316446","-2307402220","-16050916524","9749972579","-6207383324","-4234296960","-1099924831","2615365660","-10767427239","-8842526333","-518535495","2689855863","-21244579280","-6499399727","-14673943951","9363508912","-3127636448","-8473627088","-8637839494","-1026785932","7997717260","1102063132","-2490163477","1421149742","-17761972473","-11326584563","5532200242","1354334069","-10292855127","-2788420015","8137966652","10934385255","-4748133500","-6663871496","1602522849","12612517348","3259819254","5470566908","-2693753150","7625571340","17829950649","-367006747","-5728174282","12433232487","4304036985","-5360977188","21551192801","2886485590","-13155753441","-82361651","-22331300913","9280751551","18637759726","-1497926410","11307386010","25170302922","2698275941","-8910778228","3374806188","-4674840216","-3616332820","8054403768","-3376581284","16094138691","4781930118","5262665344","17117947818","14641721536","-15186793698","2786885190","42193780824","14666936833","-12838147690","-3885872922","-4259463602","28456510330","25539548035","-4980293322","-1108398820","20224831823","-827607243","-2515587980","12906499042","5362117858","-2550079112","10876262096","897064572","11907828109","7316410731","-5367795700","11938929204","17987624624","-23427637682","-1370125030","17074033722","12539695322","-2067979060","4020463006","11617725878","7826685038","-12419947562","-2976186703","-51471678053","9389578022","-2206906465","6308182688","-5123375606","-10468744032","-19696019777","21818699162","-6357170570","10861216142","4223061224","-6708652943","-30352667482","14383809596","21580284823","-7100972932","6956011351","-3419197310","8964309204","-3088745762","-7030290348","-11124820519","2809597556","3830330409","9638091859","9828027198","-31080140250","-641474152","17159029432","5848996130","-39098217775","-613373240","-34822912352","7884988396","31715347882","-18618593256","-8337422969","-8823393456","-10422605313","-2313124090","-43804271015","8141102773","-2099152672","2145074808","17165874359","-1423967778","-9283162295","19050521218","413639497","22380096046","-53963797378","-3387942492","-18833555601","-20885730008","-24455119794","-20869329612","-22722239703","7205015722","46293565222","3179650014","-16774054727","8576141460","-16782001383","-451238012","52395548790","-16196068070","-34622794773","-14006272052","-54128057533","67812743","-15247153172","-5310468040","3282747835","13676359938","-11380373348","-5236268268","10330708387","12412799599","-28066730822","-13276674107","477612020","-8580379690","-24858868433","3483808876","-2725788993","-21054555615","-7894233436","3025509916","-21109219969","23643364264","-46329185410","-25730143672","-33275512300","-49124016092","48375648017","5448093042","-13482472128","-21236197438","-65748267217","30878773684","-5555636133","411584692","31682233914","-13075297924","33323048912","-49781910782","30601665540","-3710958082","61718928902","18345100015","-19703072968","4797649415","-70529334873","3105634840","40238063562","-54428131755","40843762552","5892623324","46006800460","23144632896","50028468540","-23716238370","-721772220","-20417540655","69756943743","-338093782","75135630495","-12822491460","44320369413","71907346740","-14258217913","-15651247150","-40472665300","-34239257252","15108911156","2924456733","-35207287147","-3120313043","14520513850","4821104015","29882777695","-46138576424","29073189453","46561931684","82517430351","-22450718482","28185216661","-4458699592","18622956808","38634619376","-14788682963","-6739702703","-3677517671","74395852432","37356326222","38292423076","-4059912324","-20633787530","39068264234","-7853157452","-5178099751","15596549530","-1715715468","-22996167828","4404585803","-31099773716","51352282610","14675431974","-14856565955","-4946592702","13370273003","-24493916105","74189158120","9078280443","84478738967","-88727357062","-11881814298","-10890319910","63978858740","57609466998","-97557221636","-52662069784","57939984608","87449404860","67209079980","-4730847448","16910910194","-49569199731","35909313716","-6980679087","4210241560","6277301034","-44201431300","-35676847606","26800367957","14897500416","-14935164985","-17484606484","87063497486","-25034437580","35508204194","-33089008556","58539309679","36440527052","81068469838","-9830832599","-7573746691","67495099904","19609091014","-20002718660","-23302556055","-74670015584","8904054646","-39379288502","32546581919","-6756528358","54612730377","-106345181608","-95754254262","46815942464","-68372632746","-39357624078","21832916655","62969363974","-95258931566","-28329284834","138674255239","-14132258322","-118646739596","-81515969830","13667117716","-16885086519","-13916496360","-31668629558","-11624893222","-4824734498","78503047344","-10059134520","-145796089245","33272626008","-104763650661","-28730859074","-27571598953","3077585344","30550080712","-32606587058","105395912174","-48522964362","126823115679","26835839504","-117524649390","53735920620","-205782054712","17296329460","-11499932052","28386760925","-39513355187","-92046239760","125864845253","-2799416038","-25517707012","62679190290","-20830795400","39052192656","-106048653899","-106929453252","-77073124938","-9382699124","977741194","39137081676","-58063991722","-77028299382","-4498959795","-146361135002","-22384198958","23345953399","121271055417","-143046492566","-33031716292","82664256308","-210823266745","-34955146117","-62088468270","-45244829648","17774614426","-3615826044","-12682583286","8672316318","168156074232","-287618111","-53591318067","-133961517503","-40876207287","-37252314760","-80591310892","-62164931968","8079257036","-9667498251","-53805839349","31610499845","-93442375601","-37616914518","19169556528","101493772588","205721204492","-52412344370","67126384876","-14195970878","78758857563","42775065760","13358733790","89981442938","84496390501","-35031588270","177656443719","-9691130440","-88600221554","-17818424480","-175931636026","62787936554","-7985063231","29840621958","-59487449461","56105936160","-72653262180","-60468403004","-24622861176","82789526318","54101429805","58159176664","-164092199053","17452635714","177425416759","3561287384","-30608684779","102277930565","93753813675","-17242134870","77416624161","130675131924","-113273181450","58016581706","79285827825","63005581676","-52767050740","94787833073","63101881727","22229233306","76405283390","-9364512177","-152806550934","117177173896","13269463008","-18009397656","68796586069","-14472741542","-10078328090","-14883827440","-88310166736","255305526728","145692461401","30644219838","-11672028540","182559252232","108729470621","100538792752","59369789661","27955077847","-315693240643","-17939379344","-46552944719","-984431573","21605561844","-51409281637","121470340542","72036317644","-130902480863","-92316826870","122250594762","-636468557","48187501616","102034713020","11504123884","-24845406620","18485985500","-105390499581","-14812405636","37441217674","-50850205088","97880995624","49948993920","112772779894","-83236393519","930493896","238106145871","108112685772","116971761571","-146886854674","108636310715","171757943213","-35980278328","-2043227628","-25453947321","-163131404180","60131660951","30944949914","-90455002315","216265002044","90057430946","-60370761964","-16145992041","-183454507664","253381208638","75187172048","81945535206","-2767937760","-28353637631","49355247065","37728695543","163269770070","-28281866658","-112762361800","-214639506472","89043872557","-286911115856","-19746596482","-32276446268","21278093368","-9388049893","7547307916","-136751555041","112989747450","-254544150762","-224560913120","-86255918871","212688657916","-40482345375","-35494182546","285713239205","-80033924362","-85612642899","-129587701152","-50418953848","252759570728","288618545849","-127585030553","25509785275","254170190105","28049760893"],"space":"53.8.a","level":53,"weight":8,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[53,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/53.8.a.a"}