{"label":"713.2.a.e","letter":"e","dim":9,"charpoly":["-12048","-52616","2932","55218","10963","-4255","-941","53","20","1"],"traces":["9","-5","-5","9","1","1","-12","-6","2","-14","1","-2","-18","9","-15","13","-10","-22","0","-5","9","-8","9","-19","8","-1","-2","-35","-8","33","9","-22","7","-7","-17","18","-25","22","-19","-1","-11","24","-45","-9","23","-5","-29","27","9","-15","6","-40","-10","28","-29","24","-24","0","24","-30","-1","-5","-37","-4","24","-39","-24","48","-5","25","-25","-47","-63","46","-35","43","-27","37","-9","11","-15","41","-15","-38","-30","31","-3","-27","12","-15","20","9","-5","18","-20","-28","8","4","39","-21","53","-22","-40","11","60","-42","2","8","17","84","27","-103","36","21","1","31","38","-66","1","93","18","17","-26","9","66","78","-99","-7","46","36","-43","140","-5","42","-52","17","-20","1","-30","63","37","62","37","77","14","2","-1","-89","-13","80","-26","38","-14","66","1","27","46","12","-37","14","-12","20","-29","-29","-9","21","31","87","21","32","-14","-58","15","27","-36","81","27","42","20","61","-35","-4","27","-6","31","1","-9","-48","18","-64","14","82","-20","37","-48","98","-48","-6","14","20","27","-23","76","7","-42","71","2","-38","-56","-120","6","53","49","-59","-63","63","-12","22","-1","-68","5","-29","-43","118","54","-17","-8","-121","4","-14","-33","-17","-22","56","52","68","14","-87","-47","-120","-29","-100","-6","-61","6","67","-89","-6","117","-11","-17","-65","1","30","59","-13","23","-45","7","35","-63","149","-34","-189","6","-66","-28","-33","-33","47","4","-13","77","11","-26","-2","-19","101","2","-3","33","-25","24","-201","87","61","13","-35","15","-53","55","-67","-28","-143","-34","153","14","13","-18","-101","61","-93","-22","-57","28","45","13","-46","32","-14","8","80","-10","-16","-72","-6","-34","107","-132","-69","24","9","25","-1","1","-106","53","90","62","-79","-44","-45","-68","-97","-7","-56","-46","73","-20","-14","1","-107","-90","56","-15","18","49","-93","8","32","-5","-104","-2","42","-66","-122","-55","41","40","-76","63","-14","-14","225","1","-70","32","13","20","18","72","-2","25","-15","-15","-65","-9","-114","-20","40","68","26","-7","-106","-4","127","-22","-65","39","-52","-10","-83","21","-25","24","-27","0","-1","-3","28","-67","84","-18","-46","64","-13","-54","-70","25","-30","-63","-64","-27","-22","-108","111","-19","-20","33","68","107","-213","-28","-117","-93","54","-17","67","-115","148","109","-95","-6","9","49","129","0","88","47","64","77","-40","-91","-31","-51","14","-110","9","-39","-80","9","242","-3","20","-95","82","-37","-54","75","-5","33","174","-122","-153","-15","-4","43","-93","48","6","125","-179","67","-2","36","-122","65","-20","-36","-1","-30","-107","9","45","8","-26","-75","88","28","14","-44","-169","38","-96","-17","13","176","-114","-26","105","-6","48","4","183","15","-8","8","-39","54","-14","91","-1","63","-2","-13","78","-62","-167","67","-36","1","23","-16","-106","130","-28","-10","159","9","-25","104","-162","36","0","-7","-17","41","-5","113","-115","32","130","-55","47","0","-179","31","4","-66","107","56","-19","46","56","137","-38","139","-22","118","18","69","-188","-76","47","62","63","78","139","-40","95","10","-128","-143","-196","8","-5","-65","98","-7","84","113","-125","-22","108","84","64","-44","228","0","-19","96","-46","90","-92","175","8","50","-1","-11","165","-73","-134","24","-66","65","-92","-118","-53","-63","44","25","-53","-41","21","-1","202","34","-124","47","-5","-2","101","33","-190","-93","55","59","-16","-21","52","-136","-171","-7","44","-25","-79","20","150","-103","200","59","-81","20","-35","95","142","3","46","67","39","9","-34","36","-232","-142","-56","26","166","93","134","139","-115","113","-70","96","174","-8","252","234","-107","-7","154","-92","-92","-101","-56","-3","-100","-71","-88","82","-8","10","89","40","-2","-2","-36","46","33","116","59","-85","-26","-44","186","62","21","46","67","26","-114","45","164","22","-126","-24","-39","78","90","30","63","9","147","202","-58","180","70","120","43","-5","89","11","20","-60","-28","5","-64","-58","101","143","100","105","-262","-108","-22","-89","2","-138","-133","235","200","-103","-19","107","146","-105","22","-78","-17","-44","-45","-60","-25","60","9","-37","132","7","-194","26","-37","-176","-24","-60","7","-102","125","31","-169","54","36","-28","212","8","164","35","-16","53","134","-1","-7","47","258","-120","-53","4","-210","184","-36","-204","35","4","-208","-32","83","-37","-44","-162","-7","-3","-43","3","-285","-17","-1","-47","109","-85","-119","-10","77","-35","56","-24","66","-111","-172","-83","116","43","153","-77","-58","-48","261","9","18","117","138","4","-68","66","41","67","-65","-2","50","-37","-221","25","-1","156","105","101","15","-110","-91","-122","143","-25","-110","-58","-100","29","-178","-103","98","-109","-31","158","-143","16","-9","17","40","-3","-35","-12","60","-30","-77","-103","22","-94","-82","74","-179","-39","-60","-96","-137","-96","-118","-147","15","-79","87","140","93","-214","-97","6","197","-121","102","-19","-55","-8","147","-23","65","-54","-211","71","-36","-102","74","-118","-60","-1","-58","24","-81","55","41","118","-44","-151","-1","-229","87","-4","-507","80","108","19","124","21","33","-35","167","-129","-64","20","176","-82","-47","73","-1","0","-241","-11","209","117","-31","-45","36","47","-200","-37","43","-148","-178","71","-58","119","-85","65","149","9","-54","111","135","-69","24","-81","-86","-66","37","138","-220","38","51","-45","4","18","134","156","-274","-29","150","76","131","93","-167","-106","-52","-45","152","-42","-22","29","-122","-82","119","-10","188","-11","-93"],"lmfdb":"agrees","space":"713.2.a","level":713,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[23,-1],[31,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/713.2.a.e"}