{"label":"539.2.a.c","letter":"c","dim":1,"charpoly":["-42","1"],"traces":["1","0","3","-2","1","0","0","0","6","0","-1","-6","4","0","3","4","-2","0","6","-2","0","0","-5","0","-4","0","9","0","10","0","-1","0","-3","0","0","-12","-5","0","12","0","2","0","-8","2","6","0","-8","12","0","0","-6","-8","-6","0","-1","0","18","0","-3","-6","2","0","0","-8","4","0","-3","4","-15","0","1","0","-10","0","-12","-12","0","0","6","4","9","0","-12","0","-2","0","30","0","15","0","0","10","-3","0","6","0","5","0","-6","8","12","0","12","0","0","0","-10","-18","4","0","-15","0","-19","0","-5","-20","24","0","0","0","1","0","6","2","-9","0","2","0","-24","0","-18","6","0","0","9","0","-3","0","10","0","-24","0","-4","24","10","0","0","10","-22","0","6","0","-12","0","-1","-24","-7","0","-18","0","0","0","4","-4","-3","0","2","0","3","0","36","16","-16","0","0","-4","-9","0","1","-12","-5","0","6","0","-5","0","2","16","0","0","5","-24","14","0","12","0","18","0","8","0","-9","0","0","12","2","0","-30","16","-6","0","-2","12","3","0","-8","0","0","0","-30","2","-8","0","-1","0","-24","0","-4","-36","7","0","0","0","6","0","-8","6","18","0","4","12","12","0","0","-4","0","0","24","0","-36","0","21","0","5","0","-6","16","6","0","0","-8","60","0","18","0","-6","0","45","6","18","0","-16","-8","0","0","4","30","24","0","-6","0","-4","0","0","-2","18","0","0","0","-13","0","15","20","6","0","-3","0","-9","0","-20","24","0","0","36","24","2","0","28","0","36","0","-8","0","23","0","0","-12","9","0","-10","-8","-30","0","-12","-18","-16","0","12","0","0","0","-17","24","-30","0","-3","0","-18","0","-57","4","1","0","0","0","-15","0","14","-60","34","0","36","0","-9","0","1","-30","0","0","8","0","17","0","3","0","-10","0","11","-20","12","0","0","6","-4","0","-27","0","40","0","-29","-12","6","0","-17","0","0","0","-48","-10","9","0","10","0","-54","0","6","12","-18","0","0","-16","-6","0","-4","-24","9","0","5","0","26","0","-9","-24","0","0","-12","0","30","0","-16","0","22","0","-48","0","8","0","0","20","-12","0","-20","36","25","0","30","-8","-30","0","14","0","0","0","-39","30","15","0","-66","0","15","0","-2","38","18","0","0","0","8","0","-18","10","-18","0","13","40","-3","0","-3","-48","0","0","-21","0","8","0","-24","0","-36","0","28","0","-20","0","0","-2","5","0","-13","0","12","0","-30","-12","-20","0","-6","-4","0","0","44","18","6","0","0","0","12","0","9","-4","31","0","0","0","54","0","12","48","8","0","-48","0","-7","0","-32","36","0","0","2","-12","2","0","-18","0","8","0","-10","0","3","0","0","-18","32","0","-15","0","4","0","-24","6","12","0","60","0","0","0","-15","-20","14","0","-32","0","6","0","-20","48","-19","0","0","0","-18","0","-20","8","15","0","20","-48","25","0","42","-20","0","0","6","0","24","0","-36","0","-6","0","54","-20","-30","0","0","44","24","0","-48","0","-8","0","-18","-12","1","0","10","0","0","0","-32","24","16","0","6","0","-30","0","-17","2","-45","0","0","48","11","0","-18","14","10","0","27","0","-6","0","2","36","0","0","6","0","15","0","29","0","-24","0","21","0","3","0","0","-8","-17","0","-18","8","-60","0","-2","6","-35","0","-24","0","0","0","-50","-4","-3","0","-2","0","4","0","-36","-6","-38","0","0","0","-12","0","12","-72","-3","0","21","-32","-24","0","-15","32","0","0","10","0","-4","0","18","0","0","0","-30","8","-24","0","0","18","39","0","36","0","5","0","-4","-2","12","0","11","24","0","0","36","10","-40","0","19","0","-27","0","16","-12","4","0","0","0","3","0","-18","10","72","0","-24","0","-22","0","-72","-4","0","0","-23","-32","63","0","6","0","38","0","15","0","48","0","0","-10","-12","0","-12","48","-40","0","18","-28","6","0","4","0","0","0","12","-24","-1","0","90","0","-7","0","22","-36","54","0","0","0","8","0","-18","-16","-23","0","16","0","90","0","10","18","0","0","54","0","30","0","22","0","-48","0","4","-24","-48","0","0","-4","18","0","-25","0","12","0","20","60","29","0","72","-32","0","0","2","12","-9","0","-45","0","71","0","-12","4","3","0","0","-24","0","0","25","-6","34","0","36","0","28","0","-55","16","0","0","52","0","-16","0","-39","0","-6","0","-12","0","30","0","0","60","-38","0","18","-4","-27","0","-44","16","-9","0","2","0","0","0","-9","2","-48","0","1","0","-60","0","-10","48","12","0","0","0","-5","0","-40","8","72","0","0","72","12","0","6","-14","0","0","48","0","84","0","4","0","20","0","72","0","30","0","0","-12","-24","0","2","0","-36","0","69","16","-58","0","-10","-12","0","0","5","-36","-40","0","27","0","44","0","5","-8","-30","0","0","-24","-30","0","-60","-24","14","0","-34","0","-36","0","-29","0","0","0","-48","8","-31","0","-15","0","24","0","27","0","18","0","0","-48","40","0","-32","0","-51","0","8","72","12","0","-45","0"],"lmfdb":"agrees","curve":{"cremona":"539b1","lmfdb":"539.c","ainvs":[0,0,1,98,-86],"rank":0,"torsion":1},"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.c"}