{"label":"315.2.a.f","letter":"f","dim":2,"charpoly":["-1","-14","1"],"traces":["2","2","0","2","2","0","-2","6","0","2","4","0","-4","-2","0","6","4","0","0","2","0","-4","4","0","2","-12","0","-2","16","0","0","-6","0","-12","-2","0","-12","8","0","6","-4","0","-8","-12","0","20","-8","0","2","2","0","-20","16","0","4","-6","0","16","-8","0","12","-24","0","-14","-4","0","-8","-28","0","-2","4","0","4","-12","0","16","-4","0","0","6","0","12","-16","0","4","-24","0","4","12","0","4","36","0","-8","0","0","-12","2","0","2","20","0","-8","-20","0","24","-4","0","20","-4","0","-6","8","0","4","16","0","-8","-4","0","2","12","0","-48","2","0","16","-10","0","-12","-16","0","0","24","0","-4","16","0","8","-2","0","-20","8","0","16","44","0","-12","8","0","0","8","0","4","0","0","-12","-16","0","-6","-4","0","-24","28","0","-16","-24","0","-2","-12","0","-40","20","0","-2","12","0","44","28","0","-12","12","0","28","-12","0","40","-8","0","8","4","0","-4","-20","0","2","0","0","40","6","0","36","-16","0","-4","24","0","-12","-16","0","-24","32","0","-4","-8","0","0","20","0","-12","24","0","0","6","0","-16","-40","0","-12","20","0","48","-16","0","-8","-8","0","12","-20","0","-4","-30","0","12","2","0","-16","-24","0","2","-8","0","-24","32","0","-26","12","0","12","-20","0","0","-28","0","16","-8","0","56","-4","0","-32","12","0","-24","4","0","-20","16","0","-6","-40","0","-8","-44","0","8","4","0","38","16","0","84","4","0","-8","-36","0","-8","-40","0","8","16","0","0","12","0","24","12","0","-24","-56","0","-36","-4","0","-32","0","0","32","-14","0","-20","-32","0","-4","-40","0","4","8","0","-24","-16","0","-56","-8","0","12","30","0","-28","48","0","-2","-40","0","4","-12","0","-36","-2","0","-20","-12","0","4","76","0","52","4","0","-22","4","0","20","4","0","16","12","0","-12","-16","0","-20","-8","0","-24","-32","0","24","16","0","-4","32","0","-4","-52","0","-28","48","0","-56","6","0","-8","0","0","36","48","0","6","8","0","48","52","0","-16","-24","0","28","12","0","56","8","0","-16","4","0","0","24","0","28","-24","0","56","4","0","-12","-4","0","-24","20","0","12","24","0","20","32","0","-24","4","0","40","36","0","12","-16","0","14","-16","0","-40","-40","0","-40","4","0","-20","20","0","36","-12","0","-32","48","0","24","40","0","8","-8","0","-24","16","0","0","28","0","20","-72","0","24","12","0","-62","-12","0","-16","36","0","2","-4","0","32","-32","0","0","-4","0","40","2","0","56","16","0","20","-8","0","48","44","0","-4","-54","0","44","-8","0","-16","12","0","-20","20","0","-48","16","0","-60","96","0","26","24","0","-16","-24","0","-4","8","0","-52","4","0","44","-8","0","-28","20","0","24","-64","0","-4","0","0","0","-4","0","24","48","0","48","-6","0","-24","-8","0","8","-8","0","-12","-56","0","-24","8","0","-12","4","0","-68","-26","0","16","16","0","16","52","0","4","24","0","-48","-8","0","-36","-12","0","-4","-24","0","-88","-12","0","4","24","0","32","2","0","64","8","0","12","16","0","-4","-24","0","-4","-48","0","-40","-48","0","-72","-12","0","2","-44","0","4","-24","0","0","-16","0","40","16","0","-4","-32","0","-10","-8","0","56","-36","0","-16","-8","0","-16","-12","0","-56","40","0","-16","-12","0","8","36","0","76","-24","0","-48","0","0","32","-88","0","24","24","0","-36","-68","0","62","20","0","12","-4","0","0","36","0","16","-2","0","-24","-48","0","8","-12","0","4","8","0","-72","-68","0","-2","-16","0","0","-12","0","52","-20","0","-12","-20","0","68","-96","0","8","76","0","28","64","0","8","-22","0","20","16","0","-24","20","0","44","48","0","-20","64","0","4","-80","0","8","-12","0","-24","-36","0","8","-20","0","-56","4","0","48","-24","0","-96","0","0","36","8","0","8","-4","0","-20","-12","0","64","16","0","-28","4","0","-100","84","0","0","-44","0","64","32","0","56","-56","0","6","-12","0","16","-16","0","-16","-8","0","-24","-4","0","56","68","0","-16","-6","0","-56","-72","0","-4","96","0","76","-16","0","-56","-16","0","24","-24","0","-32","-4","0","28","-8","0","32","8","0","8","92","0","-12","-16","0","44","4","0","-24","16","0","-40","24","0","70","28","0","-24","-2","0","-2","48","0","-12","-24","0","68","-12","0","-12","12","0","-48","-40","0","28","52","0","20","68","0","48","32","0","-48","60","0","48","-2","0","-52","48","0","12","-44","0","-8","56","0","-12","-40","0","-16","44","0","-32","0","0","28","10","0","16","0","0","0","8","0","0","-12","0","8","-40","0","12","36","0","-32","12","0","52","16","0","0","28","0","-76","40","0","-12","-16","0","-48","-36","0","0","64","0","8","40","0","12","-24","0","-8","-36","0","56","-24","0","16","-4","0","-88","8","0","4","-40","0","4","60","0","-88","-16","0","82","72","0","28","-4","0","-32","-26","0","-20","0","0","-8","-32","0","36","-16","0","-40","2","0","-44","-16","0","0","-96","0","-48","-80","0","-80","-24","0","20","40","0","-92","56","0","6"],"lmfdb":"agrees","space":"315.2.a","level":315,"weight":2,"T":[[2,1],[11,3]],"status":"proven","derived":{"al":[[3,null],[5,-1],[7,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/315.2.a.f"}