{"label":"726.2.a.f","letter":"f","dim":1,"charpoly":["42","1"],"traces":["1","1","-1","1","-1","-1","-4","1","1","-1","0","-1","3","-4","1","1","-1","1","-8","-1","4","0","-8","-1","-4","3","-1","-4","-9","1","0","1","0","-1","4","1","3","-8","-3","-1","3","4","-8","0","-1","-8","12","-1","9","-4","1","3","11","-1","0","-4","8","-9","0","1","-2","0","-4","1","-3","0","4","-1","8","4","0","1","-6","3","4","-8","0","-3","-4","-1","1","3","16","4","1","-8","9","0","7","-1","-12","-8","0","12","8","-1","-5","9","0","-4","-10","1","-12","3","-4","11","-8","-1","-9","0","-3","-4","11","8","8","-9","3","0","4","1","0","-2","-3","0","9","-4","12","1","8","-3","4","0","32","4","1","-1","-22","8","-4","4","-12","0","0","1","9","-6","-9","3","-1","4","4","-8","-1","0","0","-3","14","-4","-11","-1","32","1","-20","3","0","16","12","4","-4","1","-8","-8","14","9","16","0","0","7","-4","-1","7","-12","2","-8","-3","0","0","12","4","8","-12","-1","-5","-5","3","9","7","0","-16","-4","-4","-10","36","1","-3","-12","-8","3","0","-4","-16","11","0","-8","8","-1","0","-9","6","0","-3","-3","-12","-4","-4","11","0","8","-13","8","0","-9","-17","3","-12","0","4","4","-4","1","-14","0","-1","-2","-9","-3","-24","0","-16","9","8","-4","0","12","-1","1","11","8","-12","-3","-9","4","0","0","-11","32","-7","4","11","1","8","-1","12","-22","0","8","-1","-4","0","4","-22","-12","4","0","-8","0","-12","1","-16","9","5","-6","7","-9","0","3","0","-1","-24","4","32","4","10","-8","2","-1","16","0","12","0","4","-3","-25","14","4","-4","30","-11","0","-1","8","32","8","1","-12","-20","9","3","-48","0","-16","16","3","12","-4","4","15","-4","-11","1","0","-8","-8","-8","-8","14","8","9","15","16","-3","0","3","0","0","7","-4","-4","-36","-1","45","7","0","-12","6","2","32","-8","3","-3","-44","0","22","0","-9","12","-27","4","-4","8","-12","-12","-4","-1","0","-5","-8","-5","3","3","8","9","-4","7","4","0","-29","-16","-32","-4","7","-4","0","-10","-1","36","0","1","31","-3","22","-12","0","-8","-16","3","4","0","-24","-4","23","-16","12","11","4","0","8","-8","0","8","-12","-1","-37","0","-9","-9","64","6","-8","0","9","-3","4","-3","-7","-12","1","-4","-25","-4","0","11","-4","0","12","8","-17","-13","1","8","-1","0","-24","-9","0","-17","-36","3","-16","-12","-14","0","0","4","32","4","11","-4","-12","1","9","-14","-32","0","5","-1","20","-2","20","-9","-4","-3","9","-24","0","0","0","-16","8","9","-12","8","8","-4","10","0","4","12","-34","-1","24","1","8","11","12","8","0","-12","-14","-3","-6","-9","-16","4","-16","0","0","0","41","-11","0","32","9","-7","8","4","4","11","0","1","-2","8","-7","-1","9","12","20","-22","-2","0","72","8","16","-1","3","-4","-18","0","-24","4","0","-22","28","-12","-11","4","-4","0","-38","-8","40","0","12","-12","32","1","-25","-16","5","9","-64","5","0","-6","-3","7","-36","-9","0","0","-7","3","-21","0","-4","-1","16","-24","12","4","19","32","4","4","0","10","-32","-8","-36","2","36","-1","-33","16","3","0","-49","12","-4","0","8","4","-28","-3","11","-25","0","14","-3","4","-32","-4","16","30","-12","-11","27","0","0","-1","-9","8","8","32","-8","8","-4","1","0","-12","0","-20","30","9","-4","3","-6","-48","36","0","15","-16","3","16","-32","3","72","12","12","-4","0","4","2","15","4","-4","7","-11","20","1","0","0","36","-8","22","-8","13","-8","33","-8","36","14","0","8","4","9","-3","15","17","16","15","-3","-24","0","12","3","40","0","6","0","-4","7","0","-4","0","-4","4","-36","-36","-1","48","45","14","7","36","0","-12","-12","1","6","8","2","-25","32","9","-8","0","3","-4","-3","24","-44","40","0","1","22","16","0","32","-9","-16","12","-8","-27","-4","4","-25","-4","0","8","51","-12","36","-12","1","-4","0","-1","-29","0","-11","-5","6","-8","0","-5","12","3","-24","3","0","8","9","9","-14","-4","4","7","0","4","-44","0","-6","-29","11","-16","30","-32","-12","-4","7","7","0","-4","-32","0","-11","-10","-38","-1","8","36","-8","0","20","1","64","31","-12","-3","22","22","8","-12","0","0","20","-8","19","-16","1","3","-9","4","-12","0","0","-24","-24","-4","52","23","22","-16","4","12","0","11","-4","4","-24","0","51","8","8","-8","26","0","40","8","12","-12","20","-1","-14","-37","16","0","0","-9","12","-9","-5","64","-36","6","-45","-8","-7","0","-53","9","4","-3","0","4","-12","-3","-48","-7","0","-12","-96","1","4","-4","24","-25","0","-4","-11","0","-32","11","-7","-4","-32","0","-10","12","36","8","0","-17","-2","-13","-16","1","20","8","-16","-1","0","0","-12","-24","-12","-9","-33","0","-72","-17","-4","-36","0","3","43","-16","25","-12","-33","-14","-24","0","-4","0","-36","4","-18","32","-30","4","-21","11","12","-4","0","-12","88","1","-31","9","-8","-14","5","-32","-32","0","-8","5","12","-1","16","20","12","-2","23","20","0","-9","-9","-4","36","-3","-7","9","48","-24","64","0","44","0","16","0","16","-16","-29","8","-3","9"],"lmfdb":"agrees","curve":{"cremona":"726g1","lmfdb":"726.f","ainvs":[1,1,1,179,1475],"rank":1,"torsion":1},"space":"726.2.a","level":726,"weight":2,"T":[[5,1],[7,2],[13,3],[17,4],[19,5],[23,6],[29,7],[31,8],[37,9],[41,10],[43,11],[47,12]],"status":"proven","derived":{"al":[[2,-1],[3,1],[11,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/726.2.a.f"}