{"label":"551.2.a.a","letter":"a","dim":1,"charpoly":["8","1"],"traces":["1","-2","-2","2","-1","4","-1","0","1","2","1","-4","2","2","2","-4","3","-2","1","-2","2","-2","8","0","-4","-4","4","-2","1","-4","-10","8","-2","-6","1","2","-8","-2","-4","0","-6","-4","5","2","-1","-16","7","8","-6","8","-6","4","-12","-8","-1","0","-2","-2","-10","4","1","20","-1","-8","-2","4","-2","6","-16","-2","-12","0","-9","16","8","2","-1","8","12","4","-11","12","-4","4","-3","-10","-2","0","8","2","-2","16","20","-14","-1","-16","8","12","1","-8","10","12","0","0","-2","24","2","8","-10","2","16","4","-14","4","-8","2","2","20","-3","0","-10","-2","12","-20","9","2","-4","0","-10","4","11","-4","-1","4","-4","0","19","32","3","2","-14","24","2","-4","-1","18","12","-16","1","-16","0","0","3","2","10","-8","-14","-24","24","-8","-8","22","-20","-12","2","8","-16","0","-9","6","1","10","0","4","4","-4","20","-16","6","-2","0","4","-2","0","8","-40","3","14","-4","2","-15","16","-10","-16","4","-12","6","-2","-9","0","4","-20","-1","-12","6","0","8","-8","1","4","16","-24","24","-4","-5","0","10","20","18","-2","6","-32","10","-8","-4","28","0","-4","-25","16","2","0","-21","-4","-7","-20","-24","6","-1","-8","-30","20","10","2","6","-24","2","0","8","-18","3","-2","8","8","6","16","-24","20","8","-4","1","-22","-21","0","12","2","-16","-4","-10","8","0","-12","4","-38","-4","-32","25","-6","-10","0","-12","28","15","-24","2","-4","6","8","-8","2","-16","-18","22","-24","10","0","4","-2","16","16","-5","0","-20","-4","-1","-6","22","-2","0","-20","15","0","-26","28","1","24","22","-48","1","8","-4","16","3","-22","-8","40","20","0","-7","-4","-10","-8","-8","32","2","-8","-2","18","28","-6","-10","-2","13","0","16","0","-27","-4","37","-8","8","8","-2","-40","12","16","6","-12","-15","0","1","0","20","-4","9","4","-4","-32","-6","-16","12","40","10","-6","-18","0","2","8","8","-2","8","30","-20","0","1","20","5","16","-19","-8","24","0","-22","-12","-12","2","-7","18","2","16","-10","-8","-20","20","11","2","-8","0","-2","-12","-38","0","10","-16","4","16","-6","-2","40","-4","-30","-32","7","0","-12","-48","-1","4","-4","10","22","-16","16","-20","2","-20","8","-36","20","0","-6","-12","39","32","-8","-20","-2","8","-36","8","-6","-28","0","0","2","0","39","50","12","-16","-33","-4","9","-4","-20","42","3","4","2","14","28","0","5","48","-4","-6","-12","2","0","16","-16","60","16","-20","-8","-20","18","0","40","-12","-12","24","3","-4","-1","40","12","-16","-11","18","32","-6","-24","0","-10","-16","18","-8","30","-12","9","-32","4","48","0","-20","7","-16","0","0","2","-2","-6","22","-8","42","-30","8","41","-24","-10","-2","-12","32","-2","0","-12","20","-6","-8","-7","0","0","24","10","-8","-22","38","1","8","1","0","-12","-50","-16","6","33","20","10","-4","-6","24","-4","-28","14","-30","11","0","30","-4","-28","4","30","-12","-32","-8","-3","16","20","-2","4","32","-12","0","-2","-44","29","24","-10","-20","-12","32","18","-8","3","2","18","-32","-18","0","0","10","-2","0","10","40","28","8","2","2","14","6","-11","-44","-12","0","23","0","-40","20","32","-30","-8","16","11","52","-2","-28","-24","-2","-25","0","-32","-44","4","48","-12","-2","-12","0","-28","8","-21","-16","10","-6","-5","0","-10","16","-20","-40","-17","-40","-11","24","-9","14","6","4","-4","20","-12","0","1","16","8","-32","-20","-4","1","16","-38","4","-16","-18","-38","-56","-8","0","0","20","-14","2","-19","-26","50","-20","-24","-32","-19","0","-1","54","-3","0","-18","-74","42","8","6","-16","-8","-8","14","4","-10","40","-2","-24","12","0","-80","-12","-2","12","2","30","35","4","0","-2","60","0","-4","-40","23","0","13","-18","15","-4","22","8","-12","64","-2","12","-31","16","-4","-24","-36","0","-1","-20","-4","6","-2","36","-50","-28","-6","-4","0","-8","-43","-16","-16","0","-15","-16","10","-30","-3","40","-20","-32","1","-2","48","-20","28","-10","40","0","-16","38","-6","8","-12","-48","4","24","14","44","-4","12","42","24","14","0","2","14","-24","-18","42","-4","21","-32","8","20","-9","8","8","40","20","0","49","-22","30","-2","0","16","20","24","5","4","-2","12","21","76","-3","0","8","-20","-12","16","44","-8","-50","-16","-18","12","16","2","-40","-80","-20","0","1","60","24","32","9","-14","10","48","-30","24","-64","48","-10","2","-1","0","52","8","25","-10","-12","-44","-6","32","0","-32","16","20","12","-4","-4","0","8","-16","-9","36","-8","-40","-44","4","47","12","7","12","-20","-78","-8","0","4","16","-11","20","7","4","-6","0","-32","72","-10","-8","-36","12","10","0","0","0","58","0","10","-4","30","8","-4","-78","2","-50","-11","-24","-44","0","-44","66","-24","4","32","-18","0","8","-30","40","-6","-42","-30","-6","-3","0","-39","-4","52","-14","26","-56","-48","40","4","-10","28","-48","-18","8","-44","0","0","24","15","-2","-2","0","-19","-16","69","32","2","-60","10","-32","40","0","-6","16","22","20","-3","-36","16","-4","16","-80","8","12","-10","24","28","0","-6","-6","14","4","40","2","2","-80","20","-24","9","16","55","22","-32","0"],"lmfdb":"agrees","curve":{"cremona":"551d1","lmfdb":"551.a","ainvs":[0,1,1,-116,444],"rank":1,"torsion":1},"space":"551.2.a","level":551,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[19,-1],[29,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/551.2.a.a"}