{"label":"558.2.a.g","letter":"g","dim":1,"charpoly":["-36","1"],"traces":["1","1","0","1","1","0","0","1","0","1","3","0","-1","0","0","1","3","0","1","1","0","3","2","0","-4","-1","0","0","2","0","-1","1","0","3","0","0","-2","1","0","1","0","0","-4","3","0","2","7","0","-7","-4","0","-1","0","0","3","0","0","2","-6","0","-9","-1","0","1","-1","0","3","3","0","0","-1","0","-8","-2","0","1","0","0","1","1","0","0","5","0","3","-4","0","3","-6","0","0","2","0","7","1","0","-7","-7","0","-4","-10","0","-4","-1","0","0","-10","0","4","3","0","0","-10","0","2","2","0","-6","0","0","-2","-9","0","-1","-9","0","16","1","0","-1","-18","0","0","3","0","3","14","0","6","0","0","-1","-3","0","2","-8","0","-2","-11","0","11","1","0","0","-1","0","2","1","0","1","0","0","17","0","0","5","-10","0","-12","3","0","-4","7","0","0","3","0","-6","13","0","14","0","0","2","-2","0","9","7","0","1","0","0","-17","-7","0","-7","18","0","-3","-4","0","-10","0","0","0","-4","0","-1","3","0","8","0","0","-10","-4","0","0","4","0","3","-3","0","-1","0","0","-10","24","0","-1","2","0","2","24","0","7","-6","0","0","-10","0","-4","-2","0","-9","-7","0","-1","-1","0","-9","-4","0","6","16","0","1","8","0","0","-1","0","-18","20","0","0","0","0","3","24","0","25","3","0","14","-12","0","-17","6","0","0","24","0","-29","-1","0","-3","0","0","-8","2","0","-8","-22","0","-6","-2","0","-11","-2","0","0","11","0","1","-9","0","16","0","0","-1","-7","0","-8","2","0","1","-1","0","6","1","0","0","3","0","4","17","0","0","0","0","26","5","0","-10","3","0","12","-12","0","3","-3","0","0","-4","0","7","27","0","16","0","0","3","-11","0","-1","-6","0","13","7","0","-18","14","0","0","-8","0","13","2","0","-2","0","0","4","9","0","7","-2","0","-13","1","0","0","24","0","0","-17","0","-7","22","0","6","-7","0","18","1","0","18","-3","0","-4","-27","0","1","-10","0","0","-6","0","-20","0","0","-4","0","0","5","-1","0","3","14","0","6","8","0","0","-12","0","0","-10","0","-4","-16","0","-28","0","0","4","2","0","2","3","0","-3","10","0","-6","-1","0","0","21","0","0","-10","0","24","0","0","22","-1","0","2","-42","0","-35","2","0","24","28","0","0","7","0","-6","-12","0","-4","0","0","-10","-35","0","2","-4","0","-2","-7","0","5","-9","0","-7","-36","0","6","-1","0","-1","0","0","0","-9","0","-4","-21","0","-10","6","0","16","16","0","0","1","0","8","-4","0","21","0","0","-1","-38","0","-16","-18","0","20","-3","0","-19","0","0","0","0","0","-10","3","0","24","-21","0","2","25","0","3","4","0","4","14","0","-12","2","0","0","-17","0","6","28","0","4","0","0","24","-6","0","-10","-29","0","-1","2","0","-32","-3","0","0","-8","0","-21","-8","0","2","0","0","0","-8","0","-22","-19","0","-1","-6","0","-2","-36","0","0","-11","0","-2","37","0","-18","0","0","11","-2","0","-20","1","0","-9","-7","0","35","16","0","0","-6","0","-20","-1","0","-7","0","0","11","-8","0","2","-6","0","-48","1","0","-1","16","0","7","6","0","1","35","0","-2","0","0","3","-26","0","-18","4","0","17","45","0","-18","0","0","0","-24","0","-2","26","0","5","0","0","4","-10","0","3","-27","0","-30","12","0","-12","12","0","0","3","0","-3","8","0","14","0","0","-4","0","0","27","7","0","27","6","0","0","16","0","0","-15","0","-2","3","0","-11","0","0","17","-1","0","-6","-2","0","-3","13","0","7","50","0","0","-18","0","14","-8","0","16","0","0","-8","-12","0","10","13","0","2","9","0","-26","-2","0","0","44","0","-11","4","0","9","0","0","14","7","0","-2","11","0","38","-13","0","1","1","0","0","0","0","24","6","0","6","0","0","-17","-20","0","4","-7","0","22","0","0","-3","6","0","-7","2","0","-26","18","0","1","0","0","9","18","0","-3","18","0","21","-4","0","-27","-24","0","0","1","0","-10","39","0","20","0","0","-6","17","0","-4","-20","0","0","32","0","-21","-4","0","0","41","0","46","5","0","-1","-21","0","-10","3","0","14","48","0","-25","6","0","8","-12","0","0","0","0","-12","-4","0","50","0","0","-10","-24","0","-26","-4","0","-16","-24","0","7","-28","0","0","3","0","-3","4","0","2","0","0","58","2","0","3","-5","0","14","-3","0","10","24","0","0","-6","0","-1","7","0","13","0","0","21","-2","0","0","0","0","-10","14","0","21","24","0","0","-36","0","15","22","0","-1","0","0","-22","2","0","-42","1","0","8","-35","0","2","22","0","-7","24","0","28","9","0","17","0","0","7","18","0","0","-6","0","-12","17","0","8","-4","0","0","7","0","0","-10","0","-35","0","0","1","2","0","-4","-17","0","-23","-2","0","-7","10","0","0","5","0","-9","54","0","-18","-7","0","-36","-34","0","18","6","0","-1","-8","0","8","-1","0","0","-3","0","-26","0","0","-9"],"lmfdb":"agrees","curve":{"cremona":"558e1","lmfdb":"558.g","ainvs":[1,-1,1,-2,-53],"rank":0,"torsion":1},"space":"558.2.a","level":558,"weight":2,"T":[[5,1],[7,3],[11,5],[13,7],[17,9]],"status":"proven","derived":{"al":[[2,-1],[3,null],[31,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/558.2.a.g"}