{"label":"111.4.a.e","letter":"e","dim":5,"charpoly":["2764","-46995","9652","-378","-22","1"],"traces":["5","4","-15","36","18","-12","-12","42","45","60","124","-108","-46","300","-54","100","26","36","122","378","36","172","18","-126","419","528","-135","-248","-142","-180","-330","80","-372","-952","-264","324","-185","-1428","138","-788","1014","-900","-150","144","162","-196","300","-300","1085","-156","-78","428","626","-108","-1824","892","-366","-1672","882","-1134","1154","-908","-108","-1208","3340","-516","196","-142","-54","-460","-180","378","-1402","-148","-1257","-3380","2296","-1584","-1438","934","405","-3244","1568","744","3172","-2252","426","3204","2954","540","632","78","990","4220","460","-240","762","-1284","1116","2444","-590","2856","350","-1364","792","3532","4120","-972","554","-32","555","2420","-1254","4284","-3340","362","-414","1776","-5040","2364","3409","-440","-3042","4704","-564","2700","-1332","-3682","450","5496","-546","-432","-4376","-1676","-486","-9920","-90","588","-2092","-14000","-900","1796","-8760","900","-2700","-8040","-3255","-1332","4654","468","7400","-11840","234","12496","-3436","-1284","-4546","2092","-1878","1568","-1552","324","-8314","796","5472","-5000","9826","-2676","5035","-6152","1098","2904","1070","5016","-13980","3320","-2646","828","1342","3402","682","-15392","-3462","5044","-666","2724","-8544","11308","324","-156","1954","3624","-2894","4336","-10020","12532","-2682","1548","4742","7398","-588","10700","64","426","300","-5116","162","788","1952","1380","-7776","-6784","540","1724","4932","-1134","-456","5992","4206","-13664","4700","444","-524","7292","3771","-2132","-11334","10140","662","1308","-6888","-9424","13894","4752","4064","4678","4314","3380","962","-2802","12154","11156","-1215","28224","4586","9732","-6892","1160","-4704","26260","-6698","-2232","6168","1200","-9516","-26172","-6846","6756","444","14980","-1278","-15392","5656","-9612","-268","2792","-8862","3832","6070","-1620","4492","-3274","-1896","8212","-1956","-234","-6558","31260","-2970","5108","10202","-12660","-12434","1884","-1380","-7496","-6832","720","3903","-40416","-2286","-40592","-2550","3852","15164","-1554","-3348","3456","-12404","-7332","-17560","23096","1770","-12008","9884","-8568","-16588","37368","-1050","-46668","-2666","4092","4258","-14744","-2376","-17692","27542","-10596","3696","-34030","-12360","5460","30468","2916","1566","-33028","-1662","-21096","4488","96","-4062","26436","-1665","6720","27688","-7260","-12722","5628","3762","28784","-3648","-12852","3624","-13544","10020","-4360","-6170","-1086","1826","-13444","1242","7852","4402","-5328","-16512","32502","15120","24436","8132","-7092","35613","-36336","-10227","-26960","-32820","1320","-12604","-2538","9126","-2220","12672","-14112","23902","-18720","1692","33340","-22196","-8100","-8784","12572","3996","-2728","21866","11046","33136","-12704","-1350","-6756","-7982","-16488","-11588","-8214","1638","31344","-17020","1296","5362","14796","13128","-14664","-16358","5028","-19076","-4716","1458","46132","-4588","29760","43362","-31760","270","-7108","11528","-1764","18864","-4624","6276","-43496","18240","42000","1498","-19080","2700","17744","7574","-5388","-41624","47636","26280","-17636","5870","-2700","22598","48144","8100","14524","-7004","24120","-1586","-56472","9765","20912","7916","3996","50740","16728","-13962","17256","30098","-1404","35560","-40066","-22200","-31092","-38944","35520","16122","-58720","-702","-5040","13522","-37488","-11214","9830","10308","-5476","9642","3852","-26864","31392","13638","-13864","-28320","-6276","21006","-110104","5634","25580","-382","-4704","1702","52232","4656","12804","-54068","-972","-7318","27964","24942","-61844","7200","-2388","13812","35712","-16416","19972","-13160","15000","-16506","59444","-29478","2620","1658","8028","33732","-4656","-15105","1752","-57810","18456","5216","1460","-3294","-86188","-48676","-8712","-1280","-11100","-3210","93176","-4218","-15048","-23838","2082","41940","-13300","-10580","-9960","-45055","86560","7938","-120368","-46740","-2484","-11080","-39388","-4026","13592","31964","-10206","26098","-63412","-2046","17564","21524","46176","-8802","17360","10386","-98172","5316","-15132","-38424","79512","1998","38880","4082","-8172","6356","-34512","25632","40396","-6710","-33924","-60796","4148","-972","52276","-39774","468","1520","-47232","-5862","112320","14982","-10872","35690","-35596","8682","-43904","-74592","-13008","28680","-44708","30060","-34980","-13618","-37596","-70020","-1076","8046","-3700","-66958","-4644","-40680","9528","-14226","2208","22876","-22194","78546","5488","1764","125928","-83510","-32100","-55114","26204","-192","-448","28664","-1278","-36710","-7400","-900","27216","14458","15348","9716","-40740","-486","1132","9624","-2364","17953","27712","-5856","-28960","-962","-4140","33934","57704","23328","10736","50496","20352","-35502","68320","-1620","-6016","29146","-5172","8254","41752","-14796","52300","30638","3402","9400","170616","1368","-43552","-57582","-17976","-36764","10228","-12618","-8584","41532","40992","-9526","-47220","-14100","-3664","66072","-1332","3916","115442","1572","17132","-18968","-21876","19034","55120","-11313","4972","-28842","6396","92200","-18768","34002","104664","-65286","-30420","-13508","62472","-1986","-7340","19732","-3924","-17844","134060","20664","12552","22200","28272","65548","47480","-41682","-102448","-48470","-14256","-4514","47912","-12192","-40464","49440","-14034","-3886","68832","-12942","-58476","16652","-10140","78672","15350","-2886","25496","-16516","8406","-4792","98844","-36462","6568","-81282","-33468","55262","-46304","3645","-20388","47180","-84672","-53134","8424","-13758","-18680","-71832","-29196","-13548","-13986","20676","-72760","6728","-3480","-92884","-40008","14112","-137712","-69240","-78780","31928","27532","20094","-107744","80640","6696","33602","-68804","-18504","-96780","9018","-3600","-43240","-15734","28548","-80600","34972","78516","-42942","-73712","20538","20064","-59386","-20268","-94366","61292","-1332","30564","148516","-44940","9792","-3460","3834","55300","-64652","46176","12840","-35264","-16968","209836","-8392","28836","-4892","15672","804","5448","3146","-8376","-62304","-83080","26586","-23928","36464","-11496","31216","-141488","-18210","-3944","-23974","4860","-9192","5144","-13476","-6364","27612","9822","11220","15864","5688","28980","52450","-24636","16884","37416","5868","45444","37082","702","34122","8896","19674","-89116","38866","-93780","34924","-220664","8910","-27048","-77936","-15324","-10661","-2768","-30606","-106952","-65234","37980","81860","-20912","37302","34932","-666","-5652","-140206","102440","4140","116244","2834","22488","-19102","84028","20496","-95852","51844","-2160","32780","-131472","-11709","102480","-60336","121248","85400","53308","6858","-49092","25016","121776","-12882","-127100","7650","12912","-49206","-11556","-3202","12276","-45492","3816","-11488","4662","45792","-110960","10044","-77328","-140672","-10368","67020","-133948","37212","51728","125196","21996","-38412","41240","52680","60772","-38156","-69288","-28374","8778","-5310","-35080","-27758","36024","-45872","78640","-29652","2440","-120296","25704","67670","-46444","49764","36244","-28296","-112104","-15503","-90796","3150","65052","9070","140004","25562","28204","7998","50264","64168","-12276","-22914","-53144","-12774","60872","-82158","44232","-3564","34454","7128","-43720","38978","53076","-104820","-72412","-82626","-16012","70650","31788","90636","-19162","-11088","26768","132528","102090","86297","-19536","37080","3236","68476","-16380","-31598","190658","-91404","-100464","55768","-8748","111568","-144172","-4698","34504","59346","99084","12832","32130","4986","122880","65544","63288","148716","-138752","-13464","16528","-4996","-288","26598","28140","12186","-69192","134300","-79308","-61918","139676","4995","123820"],"space":"111.4.a","level":111,"weight":4,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,1],[37,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/111.4.a.e"}