{"label":"585.2.a.i","letter":"i","dim":1,"charpoly":["-11","1"],"traces":["1","1","0","-1","1","0","2","-3","0","1","4","0","-1","2","0","-1","4","0","6","-1","0","4","0","0","1","-1","0","-2","4","0","-10","5","0","4","2","0","-2","6","0","-3","6","0","-8","-4","0","0","8","0","-3","1","0","1","4","0","4","-6","0","4","-12","0","2","-10","0","7","-1","0","-10","-4","0","2","0","0","-6","-2","0","-6","8","0","12","-1","0","6","4","0","4","-8","0","-12","-14","0","-2","0","0","8","6","0","-14","-3","0","-1","-12","0","-4","3","0","4","-4","0","-2","4","0","-2","-16","0","0","-4","0","-12","8","0","5","2","0","10","1","0","-8","-3","0","-1","16","0","12","-10","0","-12","-10","0","12","-2","0","0","-4","0","4","-6","0","2","18","0","10","-18","0","8","-10","0","18","12","0","5","0","0","6","-6","0","4","24","0","1","4","0","8","-24","0","2","-4","0","-14","0","0","-10","-2","0","0","-2","0","16","-8","0","6","12","0","-26","-14","0","3","-18","0","8","-3","0","-12","8","0","6","-4","0","1","24","0","0","-4","0","-4","-8","0","-20","-2","0","-4","-4","0","-14","10","0","-16","20","0","-10","0","0","-12","8","0","8","12","0","8","0","0","22","5","0","-2","-3","0","-6","30","0","1","-12","0","0","-8","0","-17","-8","0","-4","1","0","16","4","0","4","12","0","10","-12","0","14","-4","0","-10","4","0","10","12","0","-6","30","0","-4","0","0","-4","12","0","-1","4","0","6","2","0","-12","6","0","18","0","0","-16","10","0","-6","2","0","-22","-8","0","-10","4","0","2","18","0","-12","-18","0","16","7","0","0","24","0","-1","6","0","-18","16","0","18","-4","0","24","-10","0","14","1","0","-4","-40","0","-20","24","0","-24","-32","0","-6","2","0","20","6","0","0","14","0","0","16","0","17","-10","0","2","-6","0","-8","0","0","-2","8","0","22","16","0","-24","-4","0","-2","-6","0","12","24","0","8","-26","0","14","-8","0","0","9","0","-18","12","0","-18","8","0","-1","-22","0","10","12","0","8","-8","0","30","6","0","4","-24","0","4","-5","0","24","16","0","22","0","0","-12","4","0","4","4","0","-8","40","0","-2","-20","0","2","0","0","-36","-12","0","-4","-20","0","-14","-14","0","14","-30","0","24","16","0","20","-2","0","-22","-10","0","0","14","0","18","-4","0","8","-8","0","-20","8","0","36","-32","0","6","-8","0","0","24","0","2","22","0","-5","-14","0","-22","-6","0","-3","-36","0","16","-6","0","10","0","0","-38","-1","0","-12","-12","0","-12","0","0","8","-42","0","-12","-11","0","-8","-4","0","32","-4","0","3","-12","0","-12","-16","0","4","-40","0","-23","4","0","-12","-6","0","-4","30","0","-12","-12","0","14","14","0","20","-2","0","-36","10","0","4","24","0","24","10","0","-12","26","0","8","-2","0","30","4","0","-16","-4","0","0","-28","0","-12","4","0","12","0","0","38","-1","0","-4","8","0","16","18","0","2","20","0","-60","-12","0","2","-14","0","8","-18","0","0","-8","0","10","-16","0","-10","5","0","-8","30","0","2","-8","0","6","-22","0","-24","-18","0","22","10","0","4","-28","0","1","2","0","-18","-8","0","-14","-36","0","-18","-8","0","3","16","0","-3","40","0","14","0","0","24","28","0","-48","-1","0","-6","0","0","16","-6","0","16","-36","0","26","18","0","-12","12","0","0","-24","0","-10","8","0","-18","14","0","-1","36","0","-28","-12","0","-40","-4","0","-10","-20","0","8","-4","0","34","24","0","-32","12","0","24","-6","0","-2","-40","0","-12","28","0","6","-24","0","-50","0","0","42","0","0","-4","0","0","16","20","0","-8","17","0","10","4","0","-24","6","0","-6","-32","0","34","-8","0","0","-40","0","30","2","0","8","-24","0","18","22","0","-16","-8","0","20","-8","0","-4","10","0","-34","-2","0","-18","-18","0","-4","-12","0","24","12","0","2","8","0","26","50","0","-10","42","0","-8","36","0","0","0","0","3","18","0","-22","18","0","12","-32","0","-2","-18","0","-8","12","0","32","5","0","-22","-24","0","0","10","0","36","-28","0","30","-8","0","-8","6","0","-48","30","0","-6","10","0","-4","12","0","-24","20","0","-2","4","0","-7","-12","0","24","-24","0","16","40","0","-13","22","0","0","1","0","10","-4","0","4","0","0","30","4","0","12","48","0","16","8","0","40","48","0","-24","-2","0","20","48","0","10","6","0","0","2","0","-42","-36","0","-4","28","0","-4","4","0","-20","56","0","-16","-14","0","14","48","0","0","-6","0","-30","-40","0","16","24","0","48","-10","0","44","-20","0","-2","-12","0","16","-22","0","10","32","0","44","0","0","14","0","0","-2","18","0","20","-10","0","-18","-8","0","-8","16","0","54","-20","0","-8","-6","0","0","12","0","-32","-12","0","6","6","0","-24","48","0","12","0","0","24","-20","0","69","2","0","-22","-26","0","58","-15","0","-14","52","0","24","-22","0","-2","-54","0","-56","3","0","-36","16","0","-18","16","0","6","0","0","-48","-50","0","0","8","0","-58","-38","0","-3"],"lmfdb":"agrees","curve":{"cremona":"585c1","lmfdb":"585.i","ainvs":[1,-1,0,-24,-45],"rank":0,"torsion":2},"space":"585.2.a","level":585,"weight":2,"T":[[2,1],[7,2],[11,3],[17,4],[19,5],[23,6],[29,7],[31,8]],"status":"proven","derived":{"al":[[3,null],[5,-1],[13,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/585.2.a.i"}