{"label":"115.4.a.e","letter":"e","dim":5,"charpoly":["-15634","2930","825","-106","-10","1"],"traces":["5","6","4","22","-25","19","-3","138","77","-30","23","47","132","93","-20","282","23","-15","-161","-110","-60","193","-115","105","125","-257","577","17","401","-95","32","670","189","-663","15","-659","-38","-875","335","-690","-12","-798","-566","47","-385","-138","919","-773","-738","150","-993","-305","1156","-8","-115","343","114","-1042","1324","-235","-1673","565","270","2466","-660","-2781","558","-2267","-92","-465","-108","-789","1173","1458","100","-3477","2608","704","656","-1410","-319","3505","-82","-718","-115","112","2389","2397","570","75","-1589","-506","911","-948","805","-5991","633","-2555","2021","550","4826","3785","305","2049","300","122","1924","1394","1021","-965","152","6145","2320","-106","575","-2486","2886","5980","-3222","-525","1904","393","206","4283","-625","-3930","461","6710","-5166","1285","-201","-5303","-959","1922","-2885","-8237","4091","-437","-5883","-85","3629","-5923","-2156","-4707","-2005","2388","-4319","-2664","5347","475","-5570","-11567","281","-648","-160","-922","-1270","5504","-5596","-3350","69","-270","146","10427","-945","-9590","-1528","430","-3133","3315","2464","-3004","1617","5898","-75","18151","-6010","-7880","-5737","3295","-2689","3231","-7743","-3174","190","1498","-12031","-5454","-1587","4375","-2016","-9517","1525","6221","-1675","-4791","14072","-15113","-10384","3450","1260","13452","-6882","13419","60","-4917","-1771","-6677","-2872","3990","-1854","-460","10322","5564","2830","17394","-2657","4041","-17251","-235","5232","15284","7464","12827","1925","15250","-2708","1762","-7198","690","-4577","-834","7247","1756","-4595","27454","17744","-2","3313","3865","-3238","-9509","-6482","-13221","3690","16895","691","11761","-10738","-750","5309","-13576","-529","20384","4965","28786","-3733","-17080","2626","1525","15992","-6882","7301","5187","-5780","-7397","-25482","6932","-6639","40","9209","-36275","7069","3757","575","-1081","-9101","-11190","-6118","-1715","8528","-2026","7096","-10457","-570","4056","-1570","-39617","5228","5210","1531","21002","18050","390","-6620","-27580","5637","807","-3036","1175","14652","-12941","-8914","-36925","8365","26883","-899","10164","-117","-2825","-16213","7638","-8745","124","-1350","-1848","3549","-24974","-11676","-12330","-9020","-2139","11084","6922","3300","-13445","-13558","7577","1324","13905","20249","-21724","16474","-18024","-2790","-16358","9801","-29611","5000","11335","-4734","10168","-7596","-8572","460","-7163","-1473","7124","-15341","2325","23660","34733","2835","38442","540","-15244","1173","-944","-19904","3945","-16372","-9987","2220","-6683","-5865","-9953","878","-6486","-9861","-7290","16128","-9352","11368","-3213","-500","6746","27991","12801","-22315","17385","23713","-25246","-4516","-9103","-13040","-40148","-16568","38847","28457","-3520","-529","-23521","25569","12481","-3280","-51367","9290","-24584","5323","7050","-11736","11324","2368","37826","1595","-1080","-10032","3529","-4698","-17525","18488","6969","-18502","345","410","-19943","25063","-24680","2814","3590","34529","-17466","39022","41328","575","-27825","24388","3210","34901","-560","9032","22078","12811","8215","-11945","-8661","3703","-24020","4500","-11985","-27936","-8580","9182","74804","-2850","-7624","8226","26497","26405","-375","-19719","10156","-22194","11174","7945","19462","13870","19528","-6897","2530","-1205","16197","35572","-54658","-4555","13028","-5006","-6596","-3670","4740","-24102","61894","31524","22496","-4025","-37788","7288","11964","-1364","29955","-19564","-60960","1380","-2123","-3165","-31742","-27415","-72407","-6933","12775","5061","49695","25866","4185","-10105","17327","-7454","10474","-27555","-2750","-22684","19379","-20167","-19076","-24130","-4439","278","85082","6131","-18925","5666","106294","-12483","31240","-1525","-19620","19284","-44602","24561","-10245","-3052","29738","3478","-11148","-1500","30323","-13812","-35055","2645","-610","-39356","-30723","-23919","-39788","-9620","18160","6441","-28502","-32182","-6970","-7859","-89","-5940","-90321","-5105","-25491","-15480","-27237","-12995","4825","13134","-2415","18080","22698","-760","-25734","37140","-6380","-37594","-30725","-12776","50230","18602","-832","-11600","-46534","7554","10557","-18970","530","-12537","-30920","-27604","-13924","-2875","-108963","-7197","1805","-16999","12430","-34412","55795","55286","100274","-14430","49942","652","-6424","-15231","-29900","11684","-52024","-3136","20979","16110","38665","-38246","5911","26561","2625","-83598","2984","5118","-57173","-9520","42432","7752","-120367","20472","-1965","38675","74755","-1932","-2093","-1030","73332","5583","34985","13425","-21415","-13271","-48474","-1312","26234","3125","-30623","21249","45518","44494","19650","38176","-25848","-48782","-43971","-2305","-45518","-5392","-24936","24747","-33550","-28878","-15268","-45302","-391","25830","75212","-12863","47190","-76874","-6425","14797","27255","5248","106760","1005","30111","-78144","-3886","47132","26515","28445","-20086","-55937","-52208","4795","103494","-9223","-46888","48904","-9610","29859","-17362","27133","41593","14425","-56887","8240","36978","-41040","41185","-80562","26010","29762","52956","-20455","-19048","-24880","74268","19432","2185","44914","17451","1441","47057","29415","57936","5085","-6656","-18661","425","76563","-50443","16696","110719","-18145","55570","9976","87678","-17653","29615","104264","15316","-736","-21041","10780","-45338","36407","80672","41535","23535","-56080","56391","-29558","-69489","10025","-5985","-31063","-41401","-48676","-11940","-30292","53437","-27978","-10802","21595","-15410","-11680","72415","33903","13320","1041","57012","-85963","-26492","-26735","32786","-26140","-100683","37864","-2375","43540","-9610","-95398","-40868","27850","8495","-8946","-5993","-4347","57835","-54590","-9492","-26225","-104230","-1405","21070","10920","-121221","-18790","3240","121631","-171394","93070","-71276","800","71765","-82016","82771","-35694","4610","32697","15249","75361","-86043","6350","21012","60712","34113","-34955","-27520","53360","-26517","-95332","35649","27980","-39756","-1120","27937","4876","16750","-67164","-81322","10234","26276","-345","-12607","-125771","137146","-1715","1350","17279","-57266","-25760","-122992","-730","46515","176","-59939","30451","-52135","-51754","-73052","-4011","15923","4725","63022","16964","15157","-23288","47950","-32483","-1517","47602","-70120","7640","-104352","13994","-70716","-49352","-2150","-3218","-61091","-55306","-78268","15665","-10188","-49080","185276","-4676","-16575","874","-142633","35519","-66644","-12320","41010","36601","-92485","25771","15020","-54283","-3522","-44551","40074","-8085","43743","-70260","40747","54400","-29490","9572","-116983","-62595","20125","375","-77346","37815","20371","121874","-90755","-28936","20338","-7783","47816","30050","93485","44117","78428","21214","39400","62708","-30132","10966","-47252","28685","158507","-7705","61481","1615","-16475","-32944","-17361","-30888","-2120","13445","-67861","-12268","127054","32186","-16155","-18618","79890","-101430","-58590","38715","129180","-42216","-71911","16630","15870","-16875","-40324","64473","8583","-950","-101496","-44965","-194310","6105","-7490","31479","89234","-46609","-41740","60155","67140","7955","4126","65512","27270","92035","70596","276","108830","7935","33652","2062","107904","6535","-21875","53048","-171144","-39399","-146788","10080","-49488","112090","127312","91115","47585","-108313","106376","33250","-286296","-7625","18354","161097","70015","-35661","-31105","-12041","-184522","2796","-99576","8375","-18173","36243","-118434","-9240","23955","28954","14870","-24995","-36559","-70360","50866","184","15627","13018","75565","-85105","86821","-69817","16536","51920","12590","131882","-60336","-87580","-17250"],"space":"115.4.a","level":115,"weight":4,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[5,1],[23,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/115.4.a.e"}