{"label":"178.2.a.a","letter":"a","dim":1,"charpoly":["-8","1"],"traces":["1","-1","2","1","2","-2","0","-1","1","-2","0","2","-4","0","4","1","2","-1","-2","2","0","0","8","-2","-1","4","-4","0","0","-4","0","-1","0","-2","0","1","0","2","-8","-2","-10","0","-2","0","2","-8","-8","2","-7","1","4","-4","6","4","0","0","-4","0","10","4","-4","0","0","1","-8","0","-8","2","16","0","8","-1","-2","0","-2","-2","0","8","8","2","-11","10","14","0","4","2","0","0","1","-2","0","8","0","8","-4","-2","-2","7","0","-1","-16","-4","20","4","0","-6","8","-4","-2","0","0","0","18","4","16","0","-4","-10","0","-4","-11","4","-20","0","-12","0","0","-1","-4","8","-4","0","0","8","-8","-2","-10","-16","-4","0","-16","-8","0","1","0","2","-14","0","-4","2","8","2","2","0","0","-8","22","-8","12","-2","0","11","-6","-10","0","-14","16","0","3","-4","-2","-2","2","0","0","0","20","-1","-12","2","24","0","-8","-8","0","0","0","-8","0","4","-8","2","14","2","-16","-7","20","0","16","1","-16","16","0","4","-20","-20","8","-4","0","0","26","6","16","-8","-4","4","0","2","-4","0","-8","0","16","0","-1","-18","-24","-4","-8","-16","0","0","6","4","-16","10","16","0","-16","4","-18","11","-10","-4","-14","20","8","0","28","12","-28","0","0","0","8","1","14","4","0","-8","0","4","16","0","12","0","2","-8","26","8","-8","2","0","10","0","16","-14","4","0","0","18","16","-16","8","-8","0","0","-1","-13","0","-4","-2","16","14","20","0","0","4","-32","-2","0","-8","-32","-2","-8","-2","-20","0","40","0","0","8","22","-22","0","8","-18","-12","0","2","16","0","-4","-11","4","6","-4","10","0","0","-28","14","0","-16","-16","0","10","-3","36","4","0","2","0","2","32","-2","24","0","-16","0","16","0","-30","-20","16","1","0","12","4","-2","-15","-24","-22","0","-4","8","16","8","-10","0","0","0","-30","0","-24","8","0","0","-6","-4","0","8","-24","-2","0","-14","-2","-2","-20","16","16","7","-8","-20","16","0","-28","-16","0","-1","10","16","0","-16","-22","0","0","-4","10","20","-20","20","0","-8","28","4","-8","0","18","0","-8","-26","-8","-6","-2","-16","0","8","0","4","-12","-4","-18","0","0","-2","-16","4","-8","0","-7","8","24","0","2","-16","-8","0","-2","1","0","18","16","24","0","4","38","8","-8","16","18","0","0","0","0","-6","-12","-4","0","16","44","-10","0","-16","2","0","6","16","0","-4","0","18","0","-11","-4","10","16","4","-12","14","-2","-20","0","-8","0","0","0","-28","10","-12","32","28","-36","0","-32","0","6","0","-14","-8","0","-1","8","-14","40","-4","0","0","4","8","30","0","-8","-4","0","-16","0","0","41","-12","10","0","40","-2","16","8","-24","-26","0","-8","-44","8","48","-2","-4","0","-10","-10","-4","0","0","-16","0","14","0","-4","-12","0","8","0","0","-18","-18","-16","36","16","0","-8","30","8","42","0","-16","0","-8","1","-30","13","28","0","0","4","0","2","-8","-16","-4","-14","0","-20","40","0","18","0","0","-4","32","32","4","2","42","0","-8","8","-22","32","-48","2","0","8","32","2","-26","20","-40","0","26","-40","-20","0","-32","0","0","-8","-19","-22","0","22","0","0","-8","-8","52","18","0","12","28","0","8","-2","-18","-16","-4","0","-8","4","-24","11","0","-4","0","-6","36","4","-8","-10","-2","0","-12","0","-48","28","-16","-14","0","0","0","16","32","16","0","0","-38","-10","4","3","-8","-36","0","-4","-48","0","-14","-2","-20","0","-16","-2","-24","-32","-12","2","0","-24","-8","0","-20","16","12","0","6","-16","0","0","-32","30","0","20","-24","-16","8","-1","0","0","0","-12","-32","-4","-12","2","0","15","-36","24","0","22","-32","0","13","4","-4","-8","14","-16","-28","-8","0","10","-30","0","16","0","44","0","-8","30","14","0","0","24","48","-8","-56","0","16","0","-6","6","0","4","-10","0","0","-8","4","24","-40","2","10","0","28","14","24","2","0","2","0","20","20","-16","0","-16","0","-7","44","8","2","20","32","-16","0","0","16","28","24","16","-18","0","-16","1","1","-10","0","-16","0","0","52","16","42","22","0","0","-16","0","-12","4","4","-10","0","-20","-2","20","8","-20","0","0","22","8","-32","-28","-28","-4","-14","8","32","0","0","-18","24","0","-29","8","36","26","6","8","0","6","-32","2","0","16","40","0","-4","-8","-42","0","6","-4","0","12","0","4","4","18","-26","0","0","0","32","2","-2","16","0","-4","-4","8","32","0","6","7","6","-8","40","-24","-28","0","0","-2","0","16","16","8","-24","0","-64","2","0","-1","12","0","0","-18","48","-16","32","-24","-16","0","0","-4","0","-38","-16","-8","0","8","44","-16","-40","-18","-32","0","0","0","20","0","18","0","14","6","0","12","0","4","-38","0","44","-16","12","-44","-80","10","0","0","-32","16","8","-2","-36","0","30","-6","-16","-16","0","0","0","4","-31","0","8","-18","28","0","44","11","-8","4","52","-10","0","-16","8","-4","-18","12","0","-14","-2","2","-8","20","40","0","0","8","-16","0","56","0","-56","0","32","28","-46","-10","0","12"],"lmfdb":"agrees","curve":{"cremona":"178b1","lmfdb":"178.a","ainvs":[1,1,0,-44,80],"rank":0,"torsion":2},"space":"178.2.a","level":178,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,1],[89,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/178.2.a.a"}