{"label":"74.6.a.d","letter":"d","dim":5,"charpoly":["3143577250","57264615","-936130","-17272","48","1"],"traces":["5","-20","19","80","-67","-76","182","-320","598","268","-409","304","-679","-728","1272","1280","-114","-2392","4180","-1072","13712","1636","6837","-1216","16866","2716","15010","2912","4137","-5088","19875","-5120","8646","456","1980","9568","6845","-16720","-13843","4288","-29367","-54848","-18282","-6544","1440","-27348","-50386","4864","48659","-67464","-12006","-10864","21048","-60040","-31181","-11648","-74590","-16548","-20350","20352","20031","-79500","81446","20480","-48402","-34584","8003","-1824","-75165","-7920","-65400","-38272","24867","-27380","277846","66880","19842","55372","154397","-17152","20425","117468","191072","219392","-119046","73128","61953","26176","-226894","-5760","151222","109392","158246","201544","-502130","-19456","-40678","-194636","71094","269856","-36644","48024","87567","43456","-180318","-84192","-6091","240160","314302","124724","26011","46592","-375718","298360","225654","66192","-767665","81400","-37656","-81408","71370","-80124","-150963","318000","-362004","-325784","426372","-81920","72032","193608","265898","138336","-581504","-32012","6873","7296","-232995","300660","506215","31680","-64398","261600","-776802","153088","-453114","-99468","-119733","109520","-558006","-1111384","300182","-267520","-639180","-79368","-251407","-221488","13896","-617588","868266","68608","-602022","-81700","-280860","-469872","-2941911","-764288","431935","-877568","886538","476184","-405622","-292512","-113972","-247812","2934956","-104704","-714570","907576","569214","23040","447676","-604888","1175432","-437568","-91723","-632984","2256234","-806176","1414076","2008520","-694637","77824","-373118","162712","683691","778544","724308","-284376","1284480","-1079424","-821800","146576","2422182","-192096","510780","-350268","191739","-173824","2103946","721272","1543577","336768","-2447352","24364","1593758","-960640","942832","-1257208","372674","-498896","-766638","-104044","192286","-186368","2870779","1502872","2724198","-1193440","3544890","-902616","681150","-264768","-1785259","3070660","2814394","-325600","-589117","150624","-1896773","325632","-1390214","-285480","-1666586","320496","-2175047","603852","-1964690","-1272000","1541238","1448016","3208436","1303136","-3964278","-1705488","-8951904","327680","-158282","-288128","249158","-774432","-3628821","-1063592","-499614","-553344","-460230","2326016","-4580784","128048","2152262","-27492","1212428","-29184","-9971492","931980","-1449989","-1202640","545141","-2024860","3438488","-126720","-1866342","257592","-4627530","-1046400","-9977160","3107208","-967890","-612352","1298975","1812456","-2362846","397872","-715220","478932","-3596276","-438080","-3117465","2232024","366873","4445536","190732","-1200728","-1885170","1070080","5290445","2556720","-1819751","317472","5695802","1005628","-625323","885952","-5499096","-55584","2562126","2470352","-3368234","-3473064","-3636810","-274432","6235281","2408088","9405024","326800","3247214","1123440","9895430","1879488","2949810","11767644","-1907388","3057152","818662","-1727740","7242591","3510272","4376531","-3546152","-7393290","-1904736","3886949","1622488","-11848760","1170048","15571917","455888","5391102","991248","2887464","-11739824","-891559","418816","-7288356","2858280","1319802","-3630304","-2832516","-2276856","-5832908","-92160","8530785","-1790704","6843748","2419552","9470165","-4701728","8002018","1750272","-6857169","366892","6963012","2531936","539614","-9024936","-5095317","3224704","17043663","-5656304","1358073","-8034080","-145888","2778548","-8782780","-311296","-14107782","1492472","-5094856","-650848","1991285","-2734764","-8853390","-3114176","-10335966","-2897232","-6633810","1137504","2544586","-5137920","11563300","4317696","10423836","3287200","-9361568","-586304","11347452","-9688728","-559921","768384","5520368","-2043120","10473630","1401072","-4754808","-766956","-14154752","695296","5803271","-8415784","15555323","-2885088","-1626677","-6174308","-17338596","-1347072","-2737344","9789408","5140336","-97456","1099011","-6375032","-11449700","3842560","-5777125","-3771328","-1905417","5028832","-1651038","-1490696","3576801","1995584","26357562","3066552","-12655023","416176","13216696","-769144","-2173722","745472","4211966","-11483116","9688008","-6011488","8060864","-10896792","-9625686","4773760","-5379580","-14179560","-9281808","3610464","-11585962","-2724600","-24902139","1059072","-11198055","7141036","2569632","-12282640","-10906484","-11257576","-8574382","1302400","18904658","2356468","2907330","-602496","16202772","7587092","7486115","-1302528","-929551","5560856","15045504","1141920","4401090","6666344","-3579300","-1281984","-20943790","8700188","10003419","-2415408","483930","7858760","-48527799","5088000","-5121270","-6164952","12021710","-5792064","18088878","-12833744","17102321","-5212544","-37593442","15857112","-26531979","6821952","6090678","35807616","4623676","-1310720","-2594560","633128","28226057","1152512","-2483048","-996632","13031430","3097728","5544984","14515284","-14698546","4254368","37850480","1998456","13646118","2213376","-3620692","1840920","-5101758","-9304064","2966775","18323136","-29721500","-512192","11792088","-8609048","9283675","109968","-20359501","-4849712","-19351672","116736","24641170","39885968","-3183178","-3727920","19383920","5799956","-5699706","4810560","6990910","-2180564","1741368","8099440","16463903","-13753952","-10453256","506880","36103032","7465368","-9760580","-1030368","-23300486","18510120","24536444","4185600","-9567706","39908640","-4157773","-12428832","-4567386","3871560","6968484","2449408","-6019968","-5195900","-24773428","-7249824","4178418","9451384","-24420894","-1591488","25993149","2860880","21084456","-1915728","29689902","14385104","-28226358","1752320","-16265633","12469860","-47166264","-8928096","-1386376","-1467492","33819172","-17782144","30795177","-762928","-833122","4802912","-38311793","7540680","10814331","-4280320","-43606032","-21161780","40111440","-10226880","-14589422","7279004","-35069751","-1269888","-21522415","-22783208","9977679","-4022512","23607255","2501292","-36279744","-3543808","5785815","21996384","68054952","222336","-156066","-10248504","-24452415","-9881408","-36778834","13472936","10079846","13892256","-79633323","14547240","-62159202","1097728","24779833","-24941124","-372218","-9632352","-56230410","-37620096","1893823","-1307200","-11540384","-12988856","68698678","-4493760","-38470815","-39581720","-45028724","-7517952","6905462","-11799240","27420853","-47070576","7291223","7629552","6234714","-12228608","-60509736","-3274648","-371331","6910960","-8307454","-28970364","4857809","-14041088","6666429","-17506124","67267171","14184608","12002054","29573160","-44729552","7618944","17321712","-15547796","-13350756","-6489952","32710437","47395040","-7863112","-4680192","10916262","-62287668","19862236","-1823552","11618202","-21564408","14059312","-3964992","31540446","-11549856","53398035","46959296","-1722767","3566236","5722420","-1675264","-2296746","29153424","8666748","-11433120","-23584381","-5279208","-17116681","14521216","6745968","11330064","109212567","9107424","375654","23331632","62736","368640","39521980","-34123140","7173428","7162816","68862858","-27374992","31653061","-9678208","-51623132","-37880660","61675788","18806912","31175416","-32008072","10079532","-7001088","-14374053","27428676","32041155","-1467568","39515434","-27852048","41363898","-10127744","-65348964","-2158456","86426040","36099744","70108842","20381268","30488008","-12898816","-7327548","-68174652","44171646","22625216","23107845","-5432292","-47418759","32136320","-53121673","583552","57818092","-11114192","-164525760","35131120","20422422","1245184","47767054","56431128","-57502734","-5969888","-3491164","20379424","62516101","2603392","18771728","-7965140","3409578","10939056","-65792316","35413560","21685533","12456704","-93812722","41343864","40237176","11588928","-12789174","26535240","-83968416","-4550016","-43351946","-10178344","85321080","20551680","58867079","-46253200","11583816","-17270784","-75645966","-41695344","-85320523","-13148800","96972966","37446272","71178444","2345216","-21476952","-45389808","32425559","38754912","-46167766","2239684","-5035534","-3073536","27128364","-22081472","-33025748","8172480","-24801748","-41894520","48321080","-5604288","63212721","19019232","-107922634","3067824","35860987","56619008","-111020152","-2781184","-15228786","-23213084","-87948151","33663136","48525953","-62221292","-74125574","11540352","32268314","6506708","-1437564","24697232","-148452350","69354384","82102748","5388288","39315392","10949376","9359853","-39157632","-31017647","-20561344","-219617748","389824","-66788810","-4396044","-22548828","25500128","-101612118","45798800","-1977024","-15370240","63292274","23108500","103441321","15085312","-32910258","7621668","-34197398","-20115328","42070388","6604152","-97375758","5962784","18457842","-14307204","-24617580","-7982336","-6265509","-105430248","8321724","-12266208","12078918","50620092","22709056","-1664704","-69374","-52866784","-30509718","3076576","-81879392","8694888","9391770","-2981888","41951076","-16847864","-13180560","45932464","-104344092","-38752032","-60834008","24045952","-105073376","-32243456","88377688","43587168","-55443312","38502744","33478952","-19095040","-76050602","21518320","42523215","56718240","-71704116","37127232","1439508","-14441856","-21933817","46343848","166494510","10898400","23089554","99608556","36909992","-4236288","-58179385","44792220","104922556","-28564144","-126635145","-10278528","-44244474","49130560","118158805","43625936","21135254","45030304","-70889616","34297528","-66564783","-5209600","38406516","-75618632","8808612","-9425872","52020868","-11629320","4062264","2409984","-81947309","-64811088","155655425","-30348368","49650651","-29944460","44115960","5210112","-25820760","3718204","49973289","-22243424","91127560","-60182016","-40372673","-4567680","216984348","-17604360","-71737191","-26665376","116194390","14317200","-237719617","5127936","79387806","83775160","-23236244","-34800752","156112280","-40013676","71136540","9661632","59146626","-1935720","-276743436","-31435040","-83375568","194111196","44812305","-20352000","25741472","20485080","20060096","24659808","104026730","-48086840","20548690","23168256"],"space":"74.6.a","level":74,"weight":6,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,1],[37,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/74.6.a.d"}