{"label":"397.2.a.e","letter":"e","dim":13,"charpoly":["-21696887","-115379355","-210784573","-158098473","-36930628","11212927","6226961","310432","-221300","-33730","843","518","40","1"],"traces":["13","-7","-11","13","-5","-1","-17","-21","20","-3","-31","-17","1","-2","-11","21","-3","-19","-17","-12","3","11","-36","12","20","8","-41","-15","-2","1","0","-64","0","-12","-34","44","-5","17","-10","7","9","22","-27","-57","-18","43","-19","-8","16","-23","-24","4","-20","36","26","53","-8","1","-4","40","9","11","3","83","-53","88","-27","23","38","47","-27","-36","7","-9","14","0","33","54","-6","22","41","35","-71","71","-7","16","51","78","8","127","14","-53","24","14","15","125","24","0","-29","90","6","66","-20","25","55","-1","-87","-61","22","-1","18","-47","-14","47","-16","-30","-14","29","22","-30","56","-40","-69","16","-30","-58","-11","-121","36","-16","-34","4","-37","73","-26","-62","-46","-35","23","-75","-22","-6","-36","74","-29","4","-30","38","-10","-34","-21","-1","17","55","-44","-132","27","-32","75","1","46","10","-22","-21","53","-3","-47","-85","-2","102","20","26","-7","-11","18","-83","34","-54","-42","-193","46","-26","0","90","-1","-136","7","64","64","-9","0","-147","-37","-77","84","-65","-41","-85","15","-158","35","32","-42","-33","16","74","-66","-69","54","7","-45","-19","37","7","29","95","32","-140","6","22","-23","-58","-6","87","0","-37","-125","-199","2","55","-37","-13","-27","-36","-1","-25","35","12","20","47","-75","18","-84","68","83","14","88","49","101","-119","20","-77","55","-14","50","153","50","-12","-6","-3","-35","-50","-29","53","55","12","-1","-106","45","-141","-36","116","28","100","-136","0","8","23","44","61","23","78","-29","-16","20","-126","61","-214","96","100","-109","14","-10","21","10","-54","113","-15","-27","77","-9","38","60","-11","74","-307","-15","51","36","-20","-19","39","-35","-27","-17","-56","-8","-28","36","34","113","-38","-142","136","34","49","91","-18","8","-68","16","-62","28","109","77","-12","-11","33","96","-404","24","133","11","-1","105","-109","-79","58","77","61","44","198","66","-208","85","69","56","62","21","339","8","44","63","17","15","-12","6","-83","71","134","-77","154","64","26","31","-225","31","56","-29","200","92","-23","-55","291","100","93","-152","153","50","-81","113","119","121","134","14","-127","-13","-53","144","213","35","-28","-99","1","163","-63","-20","274","100","-105","10","-67","30","15","19","39","14","-158","-51","-56","-57","-50","20","17","1","-80","-10","-124","33","-169","-151","-254","71","-30","-62","-23","-35","-94","-20","63","8","-27","-25","-58","-124","21","-39","-133","-9","-66","-2","40","30","133","-5","162","-18","74","51","-174","63","-157","136","-73","-12","-43","-20","169","-67","82","-51","15","-14","174","-112","91","-123","27","37","-285","-63","186","-66","174","31","-114","-66","-101","-29","32","-27","-80","-117","-117","117","-122","-107","11","61","106","20","-73","-70","-21","-125","-111","16","-32","28","64","15","-78","-93","66","-79","-100","-19","-48","-34","88","21","-47","17","5","-76","23","-186","-107","-39","-171","61","-91","-71","-8","72","116","-132","105","21","76","10","159","-35","-100","-40","-55","-10","-65","-50","117","76","136","-17","148","-6","-206","-148","121","96","-28","-43","-3","-2","-235","-11","133","-101","69","18","-284","33","132","-51","-77","-98","119","-34","-40","-61","83","70","79","54","96","-93","-64","-42","-26","-49","199","86","68","-34","101","34","-91","-169","35","96","-175","-41","101","-185","-74","-63","138","99","-9","-25","-311","33","333","-76","-33","46","-211","56","-244","-114","76","102","27","93","47","-17","-49","127","-37","-20","-64","-26","-51","143","-72","-69","82","9","31","80","-25","22","119","45","161","129","-173","-45","-262","-196","252","-134","0","90","117","146","82","-159","-102","-50","82","67","13","-4","127","85","64","-84","-267","-53","-218","84","-92","67","180","56","-195","-11","-104","3","407","25","21","-122","188","-246","-62","-107","9","-21","-12","12","177","47","80","-11","-209","-121","3","159","-113","-32","35","61","-71","195","-46","-70","245","-87","177","-82","35","4","-298","170","90","-123","-292","65","-502","20","108","21","-28","-15","-493","42","30","-13","-138","-46","150","-95","82","68","111","-8","187","36","-52","-23","213","-26","-313","141","-190","-134","43","136","227","67","322","-53","-40","-126","192","7","-9","131","20","-120","51","84","210","-56","55","-37","-605","81","-73","44","-240","4","229","82","5","85","139","33","142","55","-23","107","-182","13","-157","13","-81","-125","79","129","94","-207","7","-106","135","35","24","26","-235","79","-46","-2","70","162","163","-64","-188","82","79","-135","147","-33","132","198","-672","126","84","-96","190","81","30","96","266","-129","-258","-282","25","-184","124","-25","27","-140","137","74","173","16","-31","-122","216","-13","14","48","109","6","-38","-92","26","-33","202","51","104","11","311","27","147","27","-19","-47","258","-115","191","-64","538","-14","218","-126","-21","74","35","72","10","185","-100","86","158","-117","-11","42","-191","185","142","-55","259","-224","-81","41","193","-49","392","-210","274","121","-20","65","231","-18","104","72","-188","-25","-26","92","-96","-119","-137","-42","-264","-173","-22","8","-34","260","20","-79","-174","58","476","-116","158","-179","211","-76","-174","-151","102","195","351","-34","202","37","-111","214","-235","119","-210","-124","71","111","90","56","137","-26","-56","7","-45","-158","-108","16","-4","77","-39","-26","108","50","-103","-202","119","172","558","19","-45","-313","-122","147","38","93","-130","70","-67","42","-211","-32","-23","14","215","-50","-291","-31","246","-22","-91","126","165","-94","24","-8","-67","79","-498","179","32","-114","84","104","156","-134","88","-118","-263"],"lmfdb":"agrees","space":"397.2.a","level":397,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[397,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/397.2.a.e"}