{"label":"86.4.a.e","letter":"e","dim":4,"charpoly":["2364","1364","-153","-12","1"],"traces":["4","8","11","16","1","22","42","32","79","2","34","44","-42","84","-160","64","-3","158","27","4","2","68","-301","88","83","-84","146","168","-235","-320","-7","128","-602","-6","-526","316","-403","54","-400","8","361","4","172","136","-1148","-602","285","176","308","166","-645","-168","-400","292","798","336","-476","-470","456","-640","-74","-14","1776","256","-52","-1204","978","-12","-508","-1052","992","632","1030","-806","3016","108","510","-800","1621","16","40","722","1420","8","1998","344","1395","272","288","-2296","1518","-1204","-1431","570","607","352","1311","616","250","332","-1196","-1290","2261","-336","-7076","-800","-1700","584","-522","1596","-1611","672","-714","-952","3153","-940","-4140","912","-2784","-1280","-1450","-148","1268","-28","-7656","3552","-1381","512","473","-104","-4065","-2408","-218","1956","-8221","-24","-2926","-1016","4338","-2104","-2823","1984","-1590","1264","574","2060","1787","-1612","-1765","6032","4042","216","-699","1020","2032","-1600","1173","3242","3520","32","-7680","80","6327","1444","2268","2840","-1950","16","4646","3996","2238","688","-2490","2790","5852","544","10078","576","1287","-4592","2730","3036","5170","-2408","-830","-2862","5214","1140","9668","1214","-6382","704","10651","2622","-116","1232","-5224","500","-1774","664","1228","-2392","-9274","-2580","-8201","4522","-17542","-672","4384","-14152","-3609","-1600","5078","-3400","43","1168","-2756","-1044","2126","3192","-10884","-3222","-4290","1344","17258","-1428","-8871","-1904","5950","6306","-15972","-1880","3910","-8280","-8886","1824","-2730","-5568","3143","-2560","6630","-2900","10148","-296","-8847","2536","-7850","-56","26450","-15312","1924","7104","-6082","-2762","14925","1024","-406","946","1894","-208","-4981","-8130","9024","-4816","-538","-436","5818","3912","6930","-16442","-3809","-48","10216","-5852","-11690","-2032","-15129","8676","4967","-4208","29","-5646","11552","3968","1571","-3180","10028","2528","-2855","1148","-15476","4120","-8194","3574","-8894","-3224","-6200","-3530","13104","12064","1806","8084","3808","432","4506","-1398","-29652","2040","21824","4064","6278","-3200","-1852","2346","-35044","6484","-7782","7040","-8654","64","6678","-15360","9996","160","-5800","12654","8938","2888","28986","4536","1306","5680","-17209","-3900","20728","32","-13861","9292","18684","7992","11910","4476","-1968","1376","42693","-4980","-16775","5580","17729","11704","-6844","1088","14246","20156","9702","1152","-35910","2574","17721","-9184","-19341","5460","-33123","6072","1318","10340","-9985","-4816","44254","-1660","-12242","-5724","-15493","10428","-37347","2280","-13240","19336","-22104","2428","15527","-12764","2316","1408","18456","21302","3397","5244","-12044","-232","-1644","2464","-29583","-10448","21599","1000","-5154","-3548","-19008","1328","-8315","2456","-25892","-4784","-40304","-18548","-8964","-5160","27980","-16402","3946","9044","596","-35084","-8552","-1344","-12254","8768","-1942","-28304","18589","-7218","19203","-3200","-23148","10156","-20524","-6800","5382","86","5787","2336","12022","-5512","25301","-2088","-12301","4252","34611","6384","33419","-21768","-14238","-6444","-11324","-8580","-58345","2688","-3454","34516","12990","-2856","-10134","-17742","25996","-3808","-470","11900","-21465","12612","-20958","-31944","-7648","-3760","11525","7820","42355","-16560","-18422","-17772","34476","3648","1462","-5460","-6989","-11136","-17668","6286","1095","-5120","43990","13260","-15744","-5800","-7055","20296","-32427","-592","-11892","-17694","14241","5072","9567","-15700","38418","-112","-15708","52900","27741","-30624","48102","3848","43600","14208","-37758","-12164","36299","-5524","-9028","29850","13372","2048","-557","-812","-17217","1892","9768","3788","21948","-416","37972","-9962","-1079","-16260","93744","18048","32835","-9632","20033","-1076","14046","-872","-60004","11636","22082","7824","64096","13860","2522","-32884","14150","-7618","-11592","-96","1138","20432","-2318","-11704","-16880","-23380","-1726","-4064","6978","-30258","7043","17352","-23526","9934","-1806","-8416","-1410","58","13074","-11292","-39570","23104","40614","7936","-14322","3142","3113","-6360","-93060","20056","-44659","5056","-2644","-5710","40608","2296","-21418","-30952","-27582","8240","-3610","-16388","6152","7148","24594","-17788","-69694","-6448","25468","-12400","27504","-7060","-49748","26208","16969","24128","-30990","3612","-26304","16168","7555","7616","36780","864","934","9012","46842","-2796","1486","-59304","-87685","4080","-40707","43648","-45496","8128","-70651","12556","8300","-6400","31946","-3704","-19580","4692","-35745","-70088","-1672","12968","-40207","-15564","-3024","14080","-25314","-17308","12986","128","-51482","13356","9976","-30720","-6880","19992","35070","320","-40132","-11600","-59802","25308","40841","17876","17052","5776","10900","57972","-76926","9072","466","2612","-37440","11360","6338","-34418","34790","-7800","-81914","41456","-23070","64","39608","-27722","108973","18584","-58669","37368","82912","15984","-13432","23820","26398","8952","-52924","-3936","-3936","2752","14230","85386","36774","-9960","-5718","-33550","58498","11160","28740","35458","27088","23408","-7240","-13688","-27522","2176","-110049","28492","36966","40312","25726","19404","-28712","2304","-28338","-71820","-20658","5148","71562","35442","22383","-18368","21404","-38682","46700","10920","3378","-66246","-16506","12144","-8105","2636","-129","20680","26315","-19970","-87936","-9632","17398","88508","28515","-3320","-19956","-24484","33086","-11448","30714","-30986","19018","20856","-77132","-74694","21258","4560","-72248","-26480","43130","38672","11569","-44208","106490","4856","58890","31054","-47162","-25528","112599","4632","3476","2816","61649","36912","-115684","42604","40933","6794","-23226","10488","40590","-24088","44473","-464","11168","-3288","-22341","4928","2997","-59166","-920","-20896","32766","43198","-18948","2000","-15982","-10308","35158","-7096","-30750","-38016","-56277","2656","29424","-16630","6818","4912","90570","-51784","47944","-9568","15131","-80608","-1357","-37096","6272","-17928","34869","-10320","1161","55960","-30690","-32804","15194","7892","-53062","18088","-25058","1192","52420","-70168","56711","-17104","-90288","-2688","-5583","-24508","-58374","17536","-8181","-3884","-40272","-56608","-31053","37178","-85649","-14436","98781","38406","32160","-6400","47644","-46296","60144","20312","23224","-41048","39241","-13600","7305","10764","8291","172","21616","11574","64602","4672","47190","24044","20867","-11024","34972","50602","-20618","-4176","22782","-24602","-110328","8504","-25400","69222","-27930","12768","51291","66838","-64102","-43536","-55192","-28476","49888","-12888","-28288","-22648","-84926","-17160","-9366","-116690","-114815","5376","33822","-6908","8257","69032","-24144","25980","86","-5712","3558","-20268","-24262","-35484","33244","51992","-29284","-7616","-91458","-940","70548","23800","-12702","-42930","-25757","25224","-46034","-41916","-80496","-63888","-14568","-15296","51290","-7520","-115060","23050","17015","15640","116790","84710","-8874","-33120","2560","-36844","-39134","-35544","52692","68952","-163941","7296","-175190","2924","26878","-10920","15826","-13978","19514","-22272","9246","-35336","25210","12572","100888","2190","20512","-10240","-41107","87980","-104102","26520","-56179","-31488","29995","-11600","13785","-14110","-64140","40592","-4622","-64854","-47118","-1184","273","-23784","-19150","-35388","22866","28482","18664","10144","95226","19134","90918","-31400","-12943","76836","-37698","-224","-27280","-31416","83090","105800","46009","55482","-23679","-61248"],"space":"86.4.a","level":86,"weight":4,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,-1],[43,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/86.4.a.e"}