{"label":"7.8.a.b","letter":"b","dim":2,"charpoly":["1854","-91","1"],"traces":["2","-3","94","181","330","-1006","-686","-1185","1774","-4820","2844","11102","2534","1029","24160","-35663","-1488","-83971","32810","42840","-32242","45904","-6576","-27150","-58550","377664","40420","-62083","20640","-382240","-391836","136407","33328","-137898","-113190","404477","367392","321870","-643832","-52800","734664","345058","-480476","106872","1105810","-10896","-1089108","-1538626","235298","-1339425","210324","-915068","2858844","-2757700","-32440","406455","799900","4025890","160170","3224480","-864646","-496956","-608482","-1421839","-3396540","1077968","-328648","285726","-267552","1653260","-7500216","1632135","4301244","-12306438","102650","1856050","-975492","17798648","-6408440","-5196720","3414142","9155174","11659074","-3807986","1155780","3154824","-7143620","-3340680","9772260","-18911140","-869162","-532848","-16246872","-14325588","1702800","17975314","10762752","-352947","-6909332","-1017025","12778314","-6258036","-3763556","-14089740","-8286880","-2046186","23121312","11749220","2420280","2176560","40778124","12232409","16268424","2050820","-877440","-10302630","-69467762","-23431770","510384","-2896800","-29110454","26190804","14014868","-32207028","-21169500","28802053","-43145448","31646055","-27450592","62556760","23311674","-367696","-11253830","-21533388","33640000","5505930","30670572","2269728","13138230","-14694120","-19269576","67852464","47853288","-18704791","-37162900","-89460726","11059006","68515026","-14806620","-41911850","967864","-31685730","25024584","-15745072","-53805840","-108765496","-15271498","-110224440","129881508","80328080","2255568","28459817","-84375196","35715582","-5780480","39858294","21594132","9312450","214165674","-21637320","-40661510","-50785408","48443214","192460580","20082650","-58689816","53911020","-171735470","-160819440","151833080","-124426666","-129538752","-90426032","4581360","178173180","142858008","-18371016","-50686524","-13864060","-12276800","-62968776","-160773218","46587424","24799782","-274561280","21294469","26585892","-60758032","-32145180","81790125","28606264","170546924","-7079520","36861972","18647860","497434164","-1930032","-105837956","89701680","131108320","53660744","251999142","-465714432","108025732","-103619640","65054460","134399748","-363126150","368176188","-9319520","-125479956","-772565676","-108698296","-46787601","216389150","-549601226","299493162","62638940","-60819170","12111360","-11431504","-146105250","485754084","339541328","-20110320","84069930","-61522480","47299014","-247868400","-375795040","-171467216","186349161","4904074","-152931968","38824170","143322508","368867240","267958260","433282668","260763000","-417898026","-138735611","-11759232","390016992","94128960","496701377","271542132","363384928","-126015456","-479772720","-744380120","-986781506","-701409336","-56969520","449288460","-110401410","773450380","36336436","-598440210","-582884800","19551344","48813942","220834376","193325802","-248819100","-29818656","-273267748","910177170","-143633052","18110400","-225267276","-250141176","811805354","-848575968","99476800","534228688","-251989752","1208026399","-774168154","680490600","423961524","638289162","-465845646","-118354894","258343200","170246790","-255382880","-194410290","-26642112","134563450","164803268","-230341176","221151968","-644054030","-391604940","-101337546","675232922","-36657096","-1160464792","749076960","805725504","-174015240","-44656856","-1379153088","-379292830","-220452520","-321461388","-1325894532","499944680","-704337360","801286264","3737328","-144642180","208236761","-1333017350","1072684224","832744620","-773775030","373564044","122712320","212667844","883105482","2535882504","-1523241188","166036680","527748718","136474832","645383799","1815013108","164309040","-683017152","-943745890","-80707214","204356400","-62830080","1157016584","-557728428","-1191733060","1091514830","459422775","-2327603600","-476751976","-289408956","-1240141260","-1803557040","1355620770","-72141132","1046485340","320597400","-85862400","-931104498","435228024","-1653558298","313868324","1539793860","1679608688","1347046872","120560784","-1276700992","-3001377720","-980583492","-1825805016","436312804","-209034816","-1452984000","1171951740","3604292580","945891100","-1662435540","183271200","-2678433696","1304245624","-364737876","763014450","11126920","513168654","-883794892","851197326","3143219760","4581557120","11618784","-139414065","2999276668","-1479539858","140978400","-411928456","251816622","-2211285060","-274365700","1270967075","-2180896896","-936008056","-1453170432","587294232","227523130","-1380880270","-841189176","71487180","-722977280","75750360","962853564","-1815968308","-54938310","251828208","1350278160","-4926977916","-1242272220","1216169200","66871350","-1105996640","770264044","-3611767116","2034300204","-1767853710","505990200","6602715648","296573578","1664355636","1037087296","1596086960","-2026446336","-291915100","-730592296","170455908","-2996148800","1297522530","-125691360","-6313968732","5317259760","-51000000","208709326","-273134736","36278904","5824615692","3183193700","-5597074056","-262670700","487690777","4204636020","789795775","2234523928","3047888142","503268368","2953487742","1165013220","-581212860","-4411446448","-5397136560","843778200","-111793920","-1076353866","-369743024","-3484614976","-1013081310","-3865610880","771922434","1079354802","-6992851516","112726264","-247914720","2086360264","670419270","-400880112","-2768409680","-2185093250","-98004018","2114283588","5777997240","-1990336380","6273470560","-9902733036","4044390534","91770336","-3062546527","1366414980","5992827974","-32871088","-309193800","-5857877072","-567068180","-355666776","775311124","-1329775560","6174797160","-428819480","7159492524","2572574088","-2997168972","5883405560","-2602866000","3996624184","-798518126","-4211000136","-559822305","211277860","-176840832","8132522058","-4880559504","5473188750","-1576539840","-1475326692","-4508144553","-1650995960","3191356682","-5538875040","-3450905696","-3399984576","4221108234","-182531752","116205600","-2288996616","3875876930","3739540274","4965148482","-35208950","-4864212656","642972024","-773633872","-6787032526","-6486239640","4502075610","-636625150","9977643228","-12769300780","2387939480","921593820","-9169026040","-1957963320","334593756","4641694400","-2191674236","-209752176","-6345229352","1771911162","3994303500","-6104936264","-233656468","2057691786","-5446981982","-3125047600","3819376500","96867360","2198094920","4734251142","13842375360","-1600643730","9296763492","15183404388","1538121928","1782474960","-390255072","-7151407486","-8719009506","-906760008","7936275860","4820978934","-1171050706","2576007360","-3590838240","-1342638400","4584250204","2512696704","-5379117392","-3140224682","261020400","-10092168983","2033553812","1369765671","1023509348","-5237481200","-3999062382","-3366468756","4325357448","190805310","-13815577580","9009576884","-2196764178","1306139198","-7358750760","-4560482400","4128858964","-4682049798","8463969564","-2438223520","-396432540","-690138450","3008182200","-1240596672","-3699801600","1317189750","5883187044","-1082104632","3849444904","774259832","-6230059710","3058227808","-9507866528","-2723278530","2450261660","6564687160","-15455958336","2456126862","8647598864","-13603356018","669005120","1145853240","-4355791968","26482510168","-1155969910","-6874533120","-3441600","5938145544","-3351885180","8804059208","-1208836250","5520652854","1514535520","2824110436","3535393752","6486521020","7949328664","7751625000","9584606968","-5855887818","-10371987120","15147493284","298122566","5536678080","-17293893912","1599848400","6210675984","-4494634936","-19140051266","182766864","-7751438080","-2357956620","1484337732","-3131053125","-2462454000","-10976187600","5572677096","-10474319528","5272375224","-19192187340","13364566160","-14731051146","19420869108","4913676684","-17878633860","-865258240","12024608354","9901296744","-4974848592","-8800449210","-584060400","-29167140966","-262593120","6426818916","6411423088","-3172703120","1658158248","-6165532702","9503882924","23113007982","7717035500","16482096567","9931861542","-34442946772","-3691623936","-27979200","7270723644","-10347137952","-6367231176","-665652190","2667327780","121060821","8118229640","8180584304","5599669908","981112320","-9521118326","695066652","2369900876","21842091752","-7131037200","-1764995100","-3869913096","-1629261480","19829334828","348839575","-17206181016","7783625360","-4059024540","3427058472","-389024640","7323873034","-4382961702","8356771500","2169100560","28263905760","16845088520","-606520410","1340422848","2146506348","1835706320","-16969927860","-22462204080","-32160701080","7258816020","-16975115440","1290899708","13571955597","-15633338572","-12006377348","-13991841000","21776732362","16264758412","4832780820","-19236605246","-25307592840","-431177496","-12815464816","-18881400726","-6138970248","2842399840","-170965776","-3022395216","-18854603642","12892618020","24327026640","3880564240","701841798","33127791624","5716177560","-276890100","-17758435986","-439619502","-952802928","-7930610016","22098696000","-8926192096","21957950052","-16790476892","3670308880","2448591360","-4029982460","-27249523808","15472364160","-163724544","-688063200","25784119824","37967101344","-830156040","-9328051608","4767063060","4861392924","-20251980840","22769759614","3102397480","-746560080","5565140444","2467012502","6075112914","23018499688","15050541900","-7728079590","-13986896532","13926918570","20852814780","-37356941440","-4099458912","458764704","-24881382200","-4195716287","11500806180","-59316471772","-34694643358","6725006286","-21133585472","-6126337600","-5580069432","6440806200","20860855988","32790482952","32741171520","3869369700","-29703617538","-703431260","5981093352","15087590325","38198485660","9789471534","-3512658792","5268162872","300961920","-73930431792","-22415442600","-13831726080","-15578056800","-2183496820","29000920354","3533802090","1279763488","-6238295616","-23383121640","-2805526956","-5793742400","-34877142690","23827442366","1376464880","-1347847476","-3460714716","18569406144","-13999124460","-4697945200","8037097110","18193641792","-921467376","7598764330","-17775925440","-21492283196","39629062172","-175061712","39885696060","18471531680","4065836880","-1154754000","-11246078550","36038974860","993602400","3766505182","37044145734","4391054828","15450125332","25671013110","27070380684","9984885722","-51333967506","26077477708","4405194450","-643728096","-59859588096","-38553660866","-8983445772","3338232400","-18408731460","39957049632","6230227136","-9785036330","-13699549920","-4807099724","-7522416456","2017413864","38813914300","-4303683740","-72777351906","-36802930118","11047010604","-23013905280","49930251200","-19843646536","10429343190","1849105944","-1372158240","7261138500","50605058364","-31309173808","-21538688280","-38516362192","240117760","-19505575236","-9879104179","-25309583456","-9971872008","20488065600","59021192604","49967535612","-684888300","14798888664","-51825021000","8750309404","7443168712","-31559853240","-3383281140","-34587769400","-10854596865","1308940416","1450663530","-14218327320","16240079575","-2853413856","29662956288","9415553056","7692512250","-23016280140","-11931304592","24147656752","16895948706","-24331941742","-21456968680","6011010744","-14780273380","23231444208","45116449542","-30359991680","10960961060","-7995904182","-2091074520","23110652800","163641600","56916960604","73668395024","40420313808","126119728","28037254200","6138660144","-95794574212","-52828307410","29694857760","60482747520","3860063690","39459083922","23575631088","-43715467338","-665304240","33393439380","-35626062948","7385952084","-13006207372","-985743360","29723564874","-62421453256","-2907919392","831379530","-11538520000","-7990115872","-13086055188","3014295760","-67764138372","-30999909750","-2432525436","-1888533990","45665792484","-117409003242","-22487772640","-38650674120","10924209760","45303250820","-10520006196","-54754529120","24462949906","70033665744","-6320443856","-26879352178","1856427060","-778516704","14713527392","12539389155","-1648342680","-18568328520","-4174823526","-17556733558","-4506412890","40270747872","-36700388200","11459815384","7261603932","89746795088","-4324787560","5040083160","69731985600","-75283964356","-15044468436","-13727188020","18783282380","-2469774660","6609464568","13198191160","1462967808","3849524720","-57411494096","-12223098636","-10445208352","-23273395152","17291073600","46253816364","95649278882","40238390580","80731354920","4985640000"],"space":"7.8.a","level":7,"weight":8,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[7,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/7.8.a.b"}