{"label":"291.2.a.c","letter":"c","dim":1,"charpoly":["1","1"],"traces":["1","-1","-1","-1","0","1","2","3","1","0","-4","1","-2","-2","0","-1","-8","-1","-2","0","-2","4","-4","-3","-5","2","-1","-2","0","0","8","-5","4","8","0","-1","10","2","2","0","-12","2","-8","4","0","4","8","1","-3","5","8","2","-2","1","0","6","2","0","-8","0","-10","-8","2","7","0","-4","2","8","4","0","8","3","6","-10","5","2","-8","-2","4","0","1","12","8","2","0","8","0","-12","10","0","-4","4","-8","-8","0","5","-1","3","-4","5","-2","-8","-8","-6","0","2","12","1","-18","0","-10","-2","-6","-2","0","0","-2","8","-16","0","5","10","12","-8","0","-2","18","3","8","0","-12","-4","-4","-2","0","-24","16","-4","-18","0","-8","-8","8","-1","0","-6","3","-10","0","-5","20","-6","-8","8","0","-2","2","-4","2","0","-8","-1","-16","12","0","-8","16","-6","-9","0","-2","8","0","0","-10","4","8","-10","-12","0","-10","4","10","-12","0","8","32","-8","-2","0","0","-7","2","1","0","3","-6","4","14","-15","-2","2","0","-8","0","8","-4","2","8","0","2","2","-8","-12","0","-3","16","18","-6","0","16","10","26","-10","-5","6","12","-2","-6","0","8","0","-12","2","0","8","-4","16","0","0","-18","-5","-1","10","0","-12","4","24","-8","0","0","-2","16","-18","0","-17","4","-8","20","0","0","12","-12","12","0","4","-10","-2","10","0","2","8","4","-16","20","-4","-10","18","8","0","0","8","8","-8","0","-8","-24","-5","47","0","1","-6","-22","-3","0","30","4","0","8","-5","-16","-20","2","2","0","8","-12","8","8","0","-12","6","-10","-2","0","-4","24","-2","0","0","-12","8","16","-1","10","16","18","-36","16","0","-26","-8","10","-16","0","2","-2","9","6","0","-32","2","-20","-24","0","0","-20","0","-14","10","2","20","2","-8","0","-10","16","12","24","0","-15","10","-5","4","0","-10","-2","4","-12","0","-4","8","10","-32","0","24","0","2","36","0","-18","0","-24","-3","0","-2","-8","1","-18","0","32","-9","12","6","0","4","2","-14","4","5","12","2","-16","2","0","0","-40","24","-18","0","-16","8","-16","4","0","10","18","-8","-28","0","2","-2","8","-6","40","8","-20","-12","-8","0","-32","1","-38","-16","0","18","8","6","-34","0","-3","-16","-24","10","0","-26","0","14","30","5","48","6","-20","-12","0","6","22","6","8","0","34","-8","-4","0","0","12","12","2","4","0","-2","-24","32","4","10","16","-2","0","-24","0","-20","18","8","-5","0","1","-12","-30","16","0","4","-12","0","-4","0","-8","16","8","30","0","-16","0","0","6","0","-16","9","-18","-34","0","12","11","2","-4","0","-8","-32","-20","0","0","-18","0","2","12","10","12","-64","-4","-7","0","-8","4","24","10","0","6","12","-10","12","0","30","-2","10","40","0","-4","-28","-16","-10","-20","0","12","8","10","0","18","34","-8","16","0","-32","0","32","8","0","-8","2","24","-36","0","4","-8","0","24","20","7","-30","-47","-2","0","16","-1","8","18","0","22","-20","-3","-16","0","6","-10","-22","-4","0","0","-14","-8","32","15","-22","16","2","-20","0","-2","32","10","0","0","-16","8","26","12","0","-24","22","-8","26","0","4","12","20","-2","25","10","-8","-2","-80","0","0","12","-2","-24","0","-2","6","0","8","0","-12","12","-8","8","0","-16","-16","3","32","-10","-16","16","20","-18","0","12","6","-16","4","0","-38","26","-16","24","0","-10","0","-16","-26","0","40","10","-14","2","5","9","26","-6","-2","0","-12","32","4","2","0","20","6","8","4","0","-8","0","-8","20","0","0","96","14","12","10","2","-2","-20","-28","0","-2","-4","-8","-10","0","4","30","-32","-16","0","12","0","-24","12","0","-16","15","18","10","0","5","-28","-12","1","0","64","-10","14","2","0","20","-8","12","-38","0","-4","4","48","-24","0","-10","8","-32","24","0","16","-8","0","0","0","2","22","-36","-16","0","44","18","-36","0","0","24","16","17","2","0","-4","-2","42","8","-40","-3","-20","18","24","0","-32","-32","0","3","0","-12","-40","6","12","0","-12","-12","20","-2","0","-14","-32","-4","-64","25","10","-12","-24","2","0","16","-10","-6","-18","0","-44","0","-2","40","0","-8","16","18","-4","0","-8","16","-20","-24","-20","16","-8","4","-50","0","10","-14","24","-18","0","-8","-8","28","-4","0","-29","-2","0","-2","0","-8","10","2","-8","-40","-40","8","2","20","0","36","-18","8","-22","0","24","32","-36","5","0","38","-47","-16","-16","0","-4","-54","-1","-8","0","6","-46","34","22","0","54","3","34","-16","0","24","-48","-30","36","0","-4","-26","-16","0","0","6","-8","-30","0","5","16","-48","16","-18","0","20","30","-12","-2","0","12","-2","-32","-22","0","6","-24","-8","-26","0","12","-34","-16","-8","-50","4","-8","0","56","0","6","12","12","-12","0","-6","30","-4","10","0","24","2","48","8","0","-32","-56","4","-12","-10","-24","-48","24","2","0","0","0","24","32","0","33","20","12","18","0","-8","-12","15","-16","0","12","1","-36","12","-10","10","28","-16","-40","0","-18","-4","-8","36","0","0","-16","-4","32","0","18","-40","26","-16","0","8","-18","-30","-10","0"],"lmfdb":"agrees","curve":{"cremona":"291c1","lmfdb":"291.c","ainvs":[1,1,1,-3,0],"rank":1,"torsion":2},"space":"291.2.a","level":291,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,1],[97,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/291.2.a.c"}