{"label":"539.2.a.f","letter":"f","dim":2,"charpoly":["-45","0","1"],"traces":["2","0","-2","6","4","10","0","0","6","0","-2","-6","-2","0","-4","-2","2","-20","-4","12","0","0","-4","10","-2","-10","-20","0","8","20","10","0","2","10","0","18","-8","-20","-8","0","18","0","16","-6","12","20","-10","2","0","0","8","-6","8","20","-4","0","-16","20","-2","-12","10","-10","0","-26","-4","-10","20","6","24","0","-12","-20","6","-20","2","-12","0","0","0","-4","22","10","-4","0","4","0","12","0","-4","-40","0","-12","-20","10","-8","-30","-8","0","-6","-6","14","0","-2","-10","0","-20","-8","-60","0","0","-12","0","4","0","-8","24","14","10","0","20","2","10","-8","30","-24","0","24","0","-16","-20","-8","6","0","20","-40","10","24","-40","12","0","20","-20","2","-6","16","-10","0","-24","28","-10","0","-20","-14","0","20","-24","-4","-40","-28","0","0","-60","20","54","4","60","8","0","-14","20","28","48","30","20","0","2","12","0","0","36","24","0","0","20","-16","60","-2","-30","0","-40","-24","26","-12","-60","-16","0","-4","20","-18","0","0","-10","0","24","36","-30","-52","2","4","0","8","24","-8","0","32","20","0","-20","-16","-12","-12","-20","-2","0","-6","0","24","-48","0","40","0","20","-8","-10","-20","-6","-40","0","16","4","-14","0","-22","30","0","80","24","-10","64","0","-22","0","4","-40","16","-18","12","80","0","-12","-16","-80","0","-10","16","0","4","60","0","40","12","-2","0","20","2","72","-4","-20","50","0","-16","-60","-24","-36","-32","10","0","60","-22","40","-52","18","10","0","-4","-20","20","0","-16","6","0","40","-24","4","20","10","0","0","-28","-20","30","0","-12","-40","0","0","28","60","-8","-52","8","0","-24","66","2","-60","-20","10","0","-20","8","-12","16","-40","40","0","-32","20","-4","12","-10","-20","0","0","48","-10","24","36","10","0","0","0","-4","-20","-24","-12","0","-40","-32","-40","10","60","-2","0","12","40","6","4","34","-40","0","-60","12","-10","24","10","-28","0","12","-24","-64","40","-22","-70","0","80","48","-24","-4","0","16","0","-72","0","0","-18","36","50","0","2","28","80","0","42","44","0","8","0","22","20","-4","-6","0","100","-8","30","-32","20","-18","0","0","-80","-50","-20","-2","-40","0","-24","8","0","24","20","8","0","24","0","-32","40","-12","0","0","-20","-32","-36","-8","50","-28","0","-48","20","-18","12","40","-80","0","0","-4","20","0","-24","2","0","-20","-8","-40","60","10","42","0","20","-36","10","-16","40","4","0","64","-80","-36","-60","28","90","0","6","-16","110","-28","10","-80","0","0","-24","28","40","-12","-10","0","-80","12","-72","-48","30","-20","0","28","-20","34","72","-72","0","0","0","0","0","-4","-48","10","0","-40","-20","-16","-20","-88","-24","0","0","0","-2","2","-40","-26","0","-28","-20","-16","20","-40","-60","0","-120","-12","20","36","-30","0","0","56","72","10","0","-56","-40","0","-80","-24","36","-60","-130","-16","0","-8","20","-52","60","8","-80","0","-20","24","0","-48","6","64","0","4","-78","48","20","92","48","0","20","-8","-10","28","90","-14","0","0","20","4","8","78","-20","0","84","68","0","-20","-10","34","0","20","0","4","80","-8","60","0","20","0","-42","-32","40","-16","0","40","20","18","60","80","-30","0","8","-38","-40","16","-12","-28","0","-48","-40","-88","0","48","-84","0","-20","4","0","-40","-40","18","0","-32","-40","-14","-60","2","10","0","60","68","20","-16","-18","38","0","0","12","28","-80","-8","60","0","20","24","24","52","40","-10","0","-16","20","20","-42","6","20","0","20","-104","10","24","84","48","0","20","-16","12","-80","30","90","0","40","24","20","28","10","68","0","-40","80","56","26","40","-80","0","36","-12","-40","80","0","-40","0","4","0","-96","-40","18","-12","0","80","104","72","-8","10","26","0","66","-20","16","0","-22","90","0","-60","-20","-150","32","-48","16","0","-32","60","56","0","-132","-6","0","-120","68","10","52","-60","0","0","-4","140","-24","-40","14","160","0","-72","-28","70","-8","18","-50","0","-12","-36","32","-160","-10","-60","0","80","-56","-48","12","0","-40","0","-8","40","60","-12","0","-80","0","20","-20","80","-56","-54","12","0","0","0","-12","40","-6","0","0","-40","-60","-10","60","-120","16","0","8","20","40","-8","-32","-90","0","108","36","100","-64","-30","-2","0","-8","-156","-20","120","-76","26","0","80","16","12","-120","-70","-30","0","14","100","36","24","-28","130","0","-8","-56","-10","-24","-24","30","0","56","0","-26","0","-14","96","0","0","-24","-60","60","20","42","0","0","40","-40","-20","96","0","0","-48","56","-20","80","4","-32","0","0","-36","24","-40","-36","-20","0","0","-22","-6","0","140","0","0","16","-20","20","-18","-12","-10","0","0","48","-40","36","72","62","0","76","16","4","-120","0","0","0","-80","48","40","40","50","32","0","8","20","54","-60","24","120","0","-24","-60","-130","-4","-10","-10","0","-28","-60","34","20","-16","2","0","0","-64","-120","4","20","-28","0","28","-140","-48","48","-12","20","0","52","-2","60","-24","-42","-24","0","8","0","-16","-120","18","-66","0","-100","8","-10","28","160","4","0","40","0","-66","80","-8","60","0","72","-32","40","28","30","-88","0","-36","192","-34","-20","40","0"],"lmfdb":"agrees","space":"539.2.a","level":539,"weight":2,"T":[[2,1],[3,3],[5,5],[13,7]],"status":"proven","derived":{"al":[[7,null],[11,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/539.2.a.f"}