{"label":"414.2.a.f","letter":"f","dim":2,"charpoly":["-820","-80","1"],"traces":["2","-2","0","2","2","0","0","-2","0","-2","6","0","0","0","0","2","8","0","-2","2","0","-6","-2","0","2","0","0","0","0","0","4","-2","0","-8","20","0","18","2","0","-2","4","0","-14","6","0","2","-8","0","26","-2","0","0","-6","0","-4","0","0","0","0","0","6","-4","0","2","-20","0","6","8","0","-20","0","0","0","-18","0","-2","-20","0","0","2","0","-4","-22","0","8","14","0","-6","12","0","-40","-2","0","8","-32","0","-8","-26","0","2","0","0","-12","0","0","6","-6","0","14","4","0","0","20","0","-2","0","0","0","0","0","6","-6","0","4","12","0","-8","-2","0","20","28","0","-60","-6","0","-8","-24","0","-16","20","0","0","20","0","-20","0","0","18","10","0","-20","2","0","20","24","0","18","0","0","-2","0","0","4","4","0","22","-16","0","14","-8","0","-14","8","0","40","6","0","-12","-12","0","-18","40","0","2","8","0","24","-8","0","32","-4","0","12","8","0","26","12","0","8","-2","0","0","-40","0","4","12","0","0","24","0","-20","-6","0","6","-24","0","40","-14","0","-4","0","0","12","0","0","-20","14","0","22","2","0","0","-4","0","-8","0","0","0","-8","0","-16","-6","0","6","26","0","60","-4","0","-12","26","0","-6","8","0","2","-12","0","-20","-20","0","-28","-32","0","4","60","0","6","44","0","-16","8","0","24","-14","0","-32","16","0","-20","36","0","-30","0","0","-20","0","0","-2","20","0","0","-14","0","-40","-18","0","-10","0","0","-20","20","0","-2","16","0","4","-20","0","-24","24","0","40","-18","0","0","-48","0","20","2","0","0","-8","0","-40","-4","0","-4","0","0","-12","-22","0","16","-24","0","-4","-14","0","8","-8","0","0","14","0","-8","-52","0","-28","-40","0","-6","-28","0","40","12","0","12","4","0","54","18","0","-40","20","0","-8","-2","0","-8","20","0","-22","-24","0","8","40","0","14","-32","0","4","-32","0","40","-12","0","-8","-34","0","-8","-26","0","-12","-20","0","36","-8","0","2","0","0","-40","0","0","40","64","0","-36","-4","0","-12","-80","0","-12","0","0","-24","2","0","-6","20","0","6","8","0","20","-6","0","24","20","0","-16","-40","0","14","2","0","56","4","0","0","48","0","-8","-12","0","0","4","0","12","20","0","-14","-40","0","64","-22","0","-2","-44","0","48","0","0","4","58","0","-60","8","0","0","-32","0","-62","0","0","8","40","0","20","16","0","6","-28","0","-16","-6","0","-26","4","0","0","-60","0","4","80","0","28","12","0","-26","-12","0","20","6","0","-8","40","0","40","-2","0","12","-12","0","-24","20","0","20","-32","0","38","28","0","32","16","0","2","-4","0","-60","0","0","-76","-6","0","-44","78","0","52","16","0","-8","24","0","20","-24","0","14","60","0","-40","32","0","-16","-10","0","20","20","0","-36","-18","0","40","30","0","0","-40","0","-42","20","0","0","-2","0","-24","2","0","-20","20","0","-28","0","0","14","-4","0","-64","40","0","18","4","0","80","10","0","0","-32","0","24","20","0","-20","-54","0","-44","2","0","-16","0","0","-10","-4","0","20","4","0","50","24","0","-24","-40","0","-18","-40","0","18","72","0","-12","0","0","48","-8","0","0","-20","0","-2","-8","0","2","0","0","8","-8","0","40","40","0","4","8","0","48","4","0","0","34","0","30","12","0","22","-80","0","0","-16","0","24","8","0","0","4","0","14","2","0","-40","-8","0","8","-20","0","-64","0","0","-14","-20","0","60","8","0","52","24","0","16","28","0","40","-34","0","12","6","0","28","40","0","-6","-40","0","-12","-4","0","-40","-12","0","-4","24","0","0","-54","0","-18","-40","0","24","40","0","-20","-56","0","-30","8","0","2","48","0","-48","8","0","-20","8","0","-20","22","0","24","-140","0","-36","-8","0","-40","0","0","-34","-14","0","32","28","0","20","-4","0","32","80","0","16","-40","0","12","54","0","44","8","0","34","-4","0","-40","8","0","26","88","0","66","12","0","20","40","0","-20","-36","0","8","-34","0","-32","-2","0","0","-20","0","-20","40","0","0","-68","0","20","-40","0","-64","24","0","44","36","0","4","-88","0","-60","12","0","80","-6","0","-12","12","0","0","104","0","24","24","0","-2","56","0","-18","6","0","-20","14","0","-120","-6","0","-8","-18","0","-52","-20","0","6","44","0","-40","-24","0","-20","24","0","-52","16","0","40","20","0","60","-14","0","-2","-40","0","-16","-56","0","-4","-52","0","36","0","0","-48","16","0","0","8","0","12","8","0","48","0","0","-4","-40","0","-24","-12","0","-20","-8","0","-14","14","0","40","-60","0","-76","-64","0","22","40","0","-24","2","0","44","-80","0","-2","-48","0","0","-4","0","-26","-4","0","-58","-16","0","-60","60","0","-8","-54","0","-4","0","0","32","-4","0","-40","62","0","0","24","0","16","-8","0","-40","-80","0","-14","-20","0","-16","-68","0","4","-6","0","28","-2","0","80","16","0","6","-56","0","56","26","0","-4","-28","0","52","0","0","60","14","0","-12","-4","0","-80","-52","0","28","-28","0","-12"],"lmfdb":"agrees","space":"414.2.a","level":414,"weight":2,"T":[[5,1],[7,2],[11,3],[13,4],[17,5],[19,6],[29,7],[31,8]],"status":"proven","derived":{"al":[[2,1],[3,null],[23,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/414.2.a.f"}