{"label":"418.2.a.b","letter":"b","dim":1,"charpoly":["-6","1"],"traces":["1","1","0","1","2","0","2","1","-3","2","1","0","-2","2","0","1","6","-3","1","2","0","1","-8","0","-1","-2","0","2","-6","0","6","1","0","6","4","-3","8","1","0","2","6","0","-8","1","-6","-8","-8","0","-3","-1","0","-2","12","0","2","2","0","-6","0","0","-8","6","-6","1","-4","0","-8","6","0","4","-6","-3","-14","8","0","1","2","0","-12","2","9","6","-12","0","12","-8","0","1","2","-6","-4","-8","0","-8","2","0","-2","-3","-3","-1","0","0","14","-2","0","12","-12","0","10","2","0","2","18","0","-16","-6","6","0","12","0","1","-8","0","6","-12","-6","-8","1","0","-4","4","0","2","-8","0","6","22","0","16","4","0","-6","-2","-3","-12","-14","0","8","0","0","12","1","-18","2","12","0","-2","-12","0","2","-16","9","12","6","0","-12","8","0","-9","12","-3","-8","14","0","-2","1","0","2","20","-6","8","-4","0","-8","16","0","6","-8","0","2","12","0","-18","-2","0","-3","12","-3","-24","-1","0","0","-12","0","12","14","24","-2","1","0","-12","12","0","-12","-16","0","12","10","0","2","-12","0","-10","2","3","18","-4","0","2","-16","0","-6","18","6","-16","0","0","12","6","0","-22","1","0","-8","-6","0","-2","6","0","-12","12","-6","-8","-8","0","1","26","0","16","-4","18","4","-6","0","24","2","0","-8","-16","0","-6","6","0","22","-1","0","8","16","-18","4","26","0","28","-6","0","-2","12","-3","19","-12","0","-14","10","0","0","8","0","0","16","0","-16","12","0","1","-16","-18","4","2","0","12","-28","0","6","-2","-12","-12","12","0","-6","2","0","-16","6","9","2","12","0","6","-16","0","-12","-12","-24","8","-16","0","-14","-9","0","12","6","-3","-20","-8","0","14","24","0","-8","-2","0","1","-2","0","-12","2","0","20","-14","-6","1","8","0","-4","-28","0","-4","-8","-18","16","24","0","-34","6","0","-8","12","0","-4","2","0","12","-6","0","4","-18","24","-2","-6","0","-48","-3","0","12","-24","-3","38","-24","0","-1","-10","0","-12","0","18","-12","8","0","2","12","0","14","0","24","-24","-2","0","1","-12","0","8","-12","24","12","-6","0","-16","-12","0","-16","-20","0","22","12","0","10","-8","0","-24","2","9","-12","36","0","4","-10","0","2","6","3","6","18","0","-4","-8","0","-26","2","0","-16","-16","0","8","-6","0","18","20","6","-16","-16","0","0","-8","0","-1","12","-36","6","14","0","-16","-22","0","1","-4","0","-18","-8","0","-6","-8","0","-36","-2","-6","6","-12","0","36","-12","0","12","-26","-6","0","-8","0","-8","24","0","-28","1","0","26","28","0","-8","16","0","-4","-34","18","28","4","0","-6","36","0","41","24","0","2","-12","0","-24","-8","0","-16","-3","0","-8","-6","0","6","20","0","4","22","24","-1","-6","0","-24","8","0","16","-8","-18","16","4","0","26","28","0","36","28","18","-6","-10","0","-12","-2","0","12","8","-3","-2","19","0","-12","-24","0","12","-14","12","10","4","0","6","0","0","8","-30","0","24","0","0","16","30","0","-22","-16","24","12","2","0","28","1","0","-16","16","-18","4","4","0","2","-18","0","-4","12","0","-28","4","0","-19","6","0","-2","48","-12","-8","-12","0","12","-16","0","6","-6","18","2","30","0","12","-16","0","6","-32","9","0","2","0","12","42","0","8","6","42","-16","20","0","-28","-12","0","-12","4","-24","48","8","0","-16","-8","0","14","-14","0","-9","-30","0","-4","12","0","6","-20","-3","44","-20","0","-8","-24","0","20","14","-6","24","32","0","36","-8","0","-2","-20","0","8","1","0","-2","0","0","26","-12","36","2","-48","0","-4","20","0","-14","-44","-6","28","1","0","8","6","0","-4","-4","-27","-28","-48","0","-48","-4","0","-8","-8","-18","-20","16","0","24","48","0","0","-34","36","6","-24","0","-6","-8","0","12","24","0","-6","-4","0","2","22","0","20","12","-36","-6","0","0","-18","4","0","-18","-8","24","-6","-2","0","-6","6","0","-6","-48","0","-3","-4","0","20","12","0","-24","36","-3","16","38","0","-24","40","0","-48","-1","-6","-10","-14","0","-32","-12","0","0","-18","18","20","-12","0","8","24","0","-8","2","12","12","8","0","16","14","0","0","-12","24","-20","-24","0","-2","-18","0","16","1","0","-12","-30","0","7","8","0","-12","-18","24","2","12","0","-6","-64","0","-40","-16","-6","-12","-14","0","28","-16","0","-20","-54","0","28","22","0","12","-12","0","16","10","6","-8","-24","0","22","-24","0","2","-42","9","-36","-12","0","36","0","0","-16","4","9","-10","-8","0","40","2","0","6","-36","3","72","6","0","18","16","0","-32","-4","0","-8","-2","0","-12","-26","0","2","8","0","38","-16","0","-16","12","0","-8","8","-42","-6","-34","0","-3","18","0","20","12","6","18","-16","0","-16","-34","0","-48","0","0","-8","12","0","28","-1","0","12","38","-36","24","6","0","14","44","0","5","-16","36","-22","-36","0","-50","1","0","-4","-36","0","32","-18","0","-8","62","0","2","-6","-30","-8","10","0","24","-36","0","-2","64","-6","22","6","0","-12","-48","0","48","36","0","-12"],"lmfdb":"agrees","curve":{"cremona":"418a1","lmfdb":"418.b","ainvs":[1,-1,1,-4,3],"rank":0,"torsion":2},"space":"418.2.a","level":418,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,-1],[11,-1],[19,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/418.2.a.b"}