{"label":"410.2.a.a","letter":"a","dim":1,"charpoly":["-4","1"],"traces":["1","-1","-2","1","1","2","2","-1","1","-1","0","-2","-4","-2","-2","1","0","-1","8","1","-4","0","0","2","1","4","4","2","6","2","8","-1","0","0","2","1","2","-8","8","-1","-1","4","8","0","1","0","-6","-2","-3","-1","0","-4","0","-4","0","-2","-16","-6","12","-2","2","-8","2","1","-4","0","14","0","0","-2","-12","-1","2","-2","-2","8","0","-8","-4","1","-11","1","-12","-4","0","-8","-12","0","6","-1","-8","0","-16","6","8","2","-4","3","0","1","-6","0","8","4","-4","0","0","4","2","0","-4","2","6","16","0","6","-4","-12","0","2","-11","-2","2","8","1","-2","20","-1","-16","4","-12","0","16","-14","4","0","-12","0","-4","2","12","12","0","1","6","-2","6","2","-6","2","-16","-8","0","0","8","8","-4","4","0","-1","0","11","-16","-1","0","12","6","4","3","0","8","8","18","12","2","0","-24","-6","0","1","2","8","-4","0","2","16","0","-6","8","-8","-12","-2","-16","4","8","-3","18","0","20","-1","-28","6","12","0","-1","-8","0","-4","0","4","-4","0","24","0","8","-4","16","-2","-4","0","0","4","8","-2","1","-6","6","-16","-10","0","0","-6","-12","4","-6","12","8","0","-24","-2","26","11","10","2","-3","-2","-32","-8","24","-1","12","2","0","-20","0","1","-12","16","4","-4","6","12","-18","0","0","-16","-12","14","-18","-4","8","0","16","12","0","0","26","4","8","-2","30","-12","-16","-12","-16","0","-2","-1","-17","-6","8","2","0","-6","12","-2","0","6","0","-2","16","16","12","8","2","0","8","0","-16","-8","24","-8","8","4","2","-4","-24","0","0","1","0","0","0","-11","-4","16","-4","1","-12","0","-16","-12","2","-6","14","-4","-22","-3","-12","0","0","-8","-20","-8","0","-18","30","-12","-22","-2","-16","0","6","24","-12","6","0","0","-24","-1","45","-2","22","-8","2","4","8","0","-1","-2","0","-16","-10","0","-2","6","-24","-8","20","8","-40","12","-30","2","0","16","8","-4","-6","-8","0","3","24","-18","-4","0","-4","-20","-32","1","6","28","-32","-6","-11","-12","0","0","-22","1","24","8","24","0","-12","4","8","0","36","-4","-34","4","-6","0","0","-24","4","0","0","-8","-24","4","-22","-16","-12","2","0","4","-16","0","-3","0","24","-4","6","-8","12","2","30","-1","0","6","32","-6","-8","16","8","10","0","0","18","0","-22","6","-16","12","0","-4","28","6","8","-12","0","-8","8","0","0","24","24","2","-8","-26","0","-11","-4","-10","20","-2","32","3","36","2","0","32","0","8","-24","-24","-28","1","-12","-12","42","-2","-6","0","-6","20","6","0","4","-1","32","12","8","-16","0","-4","-36","4","18","-6","32","-12","-4","18","0","0","-23","0","12","16","4","12","0","-14","0","18","0","4","-34","-8","-4","0","2","-16","2","-12","2","0","48","0","-8","-26","-4","-4","24","-8","-32","2","0","-30","-42","12","6","16","-22","12","42","16","20","0","24","2","0","1","32","17","32","6","-24","-8","0","-2","-4","0","18","6","64","-12","-36","2","0","0","0","-6","-40","0","0","2","14","-16","14","-16","-11","-12","-4","-8","-24","-2","24","0","38","-8","2","0","-18","16","-4","8","0","-24","12","8","1","-8","0","-4","0","-2","-16","4","8","24","20","0","12","0","-12","-1","-42","0","14","0","-16","0","0","11","0","4","-32","-16","0","4","-12","-1","2","12","-36","0","-10","16","0","12","16","-2","0","6","-16","-14","0","4","-40","22","4","3","-42","12","-8","0","-12","0","30","8","-12","20","20","8","0","0","-28","18","0","-30","-4","12","0","22","24","2","30","16","16","0","12","-6","-12","-24","-10","12","-4","-6","0","0","0","0","48","24","-36","1","16","-45","-52","2","6","-22","26","8","13","-2","0","-4","-22","-8","6","0","0","1","-52","2","64","0","-36","16","-6","10","-12","0","0","2","-52","-6","-24","24","-16","8","-28","-20","0","-8","42","40","4","-12","0","30","-48","-2","14","0","24","-16","12","-8","8","4","-8","6","-8","8","0","0","24","-3","-4","-24","20","18","36","4","12","0","-8","4","0","20","-18","32","0","-1","6","-6","0","-28","0","32","36","6","6","11","20","12","-16","0","-16","0","64","22","-8","-1","-6","-24","-22","-8","0","-24","30","0","50","12","-52","-4","0","-8","6","0","32","-36","-12","4","7","34","-60","-4","3","6","-22","0","32","0","0","24","-46","-4","8","0","-42","0","-28","8","4","24","24","-4","18","22","34","16","0","12","-56","-2","-4","0","2","-4","-34","16","0","0","-6","3","-34","0","-24","-24","-54","4","40","-6","0","8","-48","-12","0","-2","0","-30","48","1","0","0","-32","-6","2","-32","-16","6","-6","8","-24","-16","0","-8","-4","-10","-24","0","32","0","-16","-18","48","0","2","22","8","-6","-30","16","-24","-12","-48","0","0","4","32","-28","-16","-6","6","-8","0","12","8","0","0","8","-8","-8","48","0","-42","0","-12","-24","0","-24","-24","-2","33","8","0","26","-16","0","38","11","0","4","-12","10","-8","-20","8","2","48","-32","0","-3","2","-36","-36","-2","18","0","24","-32","0","0","-52","-8","32","24","20","24","-28","28","8","-1"],"lmfdb":"agrees","curve":{"cremona":"410c1","lmfdb":"410.a","ainvs":[1,0,1,-168,806],"rank":0,"torsion":6},"space":"410.2.a","level":410,"weight":2,"T":[[3,1],[7,3]],"status":"proven","derived":{"al":[[2,1],[5,-1],[41,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/410.2.a.a"}