{"label":"429.2.a.a","letter":"a","dim":1,"charpoly":["1","1"],"traces":["1","-1","-1","-1","0","1","0","3","1","0","1","1","1","0","0","-1","-4","-1","-8","0","0","-1","0","-3","-5","-1","-1","0","4","0","-6","-5","-1","4","0","-1","-6","8","-1","0","6","0","-2","-1","0","0","-8","1","-7","5","4","-1","6","1","0","0","8","-4","0","0","-14","6","0","7","0","1","14","4","0","0","-4","3","6","6","5","8","0","1","-10","0","1","-6","-12","0","0","2","-4","3","12","0","0","0","6","8","0","5","-2","7","1","5","-12","-4","4","3","0","-6","-16","1","10","0","6","0","18","-8","0","-4","1","0","0","0","1","14","-6","6","0","0","10","3","2","0","12","1","0","-14","0","-12","12","0","-18","0","8","4","1","-1","0","-6","7","6","-18","-5","-12","-24","-4","0","0","1","2","10","-6","0","0","-1","18","-6","0","12","0","0","1","0","-8","2","-4","4","0","-1","0","-12","-20","0","2","0","14","0","0","-6","-4","8","0","0","0","-7","6","2","0","7","6","-1","-12","-15","-14","12","0","-4","0","-4","0","-1","-8","0","-22","-6","4","16","0","-3","0","-10","-6","0","-4","-6","-2","0","-5","-18","-12","-8","22","0","0","12","-4","-1","0","0","10","0","24","0","2","-1","-1","14","0","6","-8","-18","12","0","-20","0","0","-10","0","-17","-10","-2","0","0","4","-12","4","-3","0","0","-12","-14","18","0","20","4","0","-12","-5","0","-2","18","-6","0","-10","-8","-6","4","0","-1","0","-5","-1","0","2","-6","30","-7","0","-18","-1","18","0","-5","0","12","12","8","0","4","32","0","-4","0","24","-3","6","-2","0","10","-8","6","4","0","16","0","32","-1","-5","-18","-10","18","0","0","-14","12","-6","0","0","0","-10","-1","-18","0","-6","8","0","-6","0","4","-4","4","-10","0","-1","-5","24","0","0","-12","0","20","0","0","45","-2","-1","0","0","-14","8","0","6","0","0","-6","2","4","0","-24","4","0","6","0","-10","0","36","-3","0","-6","-2","2","34","0","0","-21","-12","-6","0","-1","-22","12","0","5","16","14","-6","12","0","0","-6","12","-26","0","-12","-4","0","0","0","-5","18","8","-36","0","22","22","-8","18","20","-4","0","16","-1","0","-32","1","-14","0","0","-10","0","6","10","0","-7","4","-4","-6","0","2","18","0","-4","5","6","-18","12","12","0","24","18","-22","4","0","10","0","14","-4","0","4","12","-1","0","0","-2","0","-2","-10","40","0","6","-24","-32","0","-6","-2","0","-1","0","1","2","-42","-18","0","20","6","-16","8","0","6","0","-12","-26","0","0","20","12","0","0","0","-1","-10","-20","0","0","11","8","10","0","-2","-8","0","4","0","10","-4","-22","-12","0","-4","24","1","-23","0","0","0","6","12","0","42","20","-18","-7","0","-18","-20","-2","20","0","0","-22","-12","-14","5","-32","0","0","2","0","18","-34","6","-2","0","4","10","-12","-8","0","6","0","-12","-24","0","-22","-1","0","0","0","7","-38","1","-6","0","0","-2","6","18","0","-30","8","-7","48","0","-6","6","-14","1","0","18","12","0","0","15","-46","0","14","12","0","-12","34","40","0","0","-8","4","-6","-32","0","0","36","4","-34","0","0","-24","0","1","25","-6","8","-2","24","0","-18","-30","22","8","0","6","-7","-4","-4","0","50","-16","18","0","0","-32","-32","3","0","5","0","-18","2","10","0","-6","6","0","0","0","-38","14","4","-36","0","6","0","0","2","0","-14","0","2","10","5","-1","-32","18","0","0","12","6","-16","8","0","0","-22","2","6","0","42","4","0","4","0","-12","-24","10","4","0","12","1","48","7","0","-24","0","0","-18","0","-10","36","0","0","0","20","-24","0","8","0","0","-45","-2","-2","-20","1","-44","0","1","0","8","-14","2","-8","0","0","14","-6","-12","0","8","0","40","18","0","-2","-12","4","0","0","40","8","20","-4","0","0","-38","-6","0","0","2","10","0","0","0","-36","0","17","-30","0","10","-6","-16","2","30","-6","0","-34","-48","0","-4","0","-4","7","0","12","28","-6","-4","0","0","3","-14","22","0","12","-22","0","32","25","12","-16","6","14","0","6","-18","-36","24","0","8","0","-20","6","0","-4","16","26","0","0","-22","12","-52","12","5","0","12","0","30","0","2","7","28","-18","0","8","6","36","16","0","-13","-22","10","22","0","8","0","-6","6","-20","0","-4","14","0","0","-48","-48","1","-16","0","0","32","-28","5","0","14","1","0","-10","0","14","30","-2","0","0","6","14","-10","-30","0","10","7","-32","4","0","4","20","18","0","0","1","2","64","-18","0","0","0","4","-24","5","-24","-6","0","54","0","-12","4","12","-12","0","48","-8","-12","-18","0","-22","0","-4","34","0","-32","-10","-4","0","30","-14","4","-20","20","0","56","4","-24","-12","0","3","26","0","-6","0","-22","2","0","0","0","2","-28","-10","6","-40","8","0","-24","-6","0","-24","-4","32","0","0","5","6","-16","-2","0","0","8","3","-32","0","20","1","0","-2","5","14","0","18","12","0","10","-20","8","-18","0","16","0","8","0","0","12","30","14","0","0","-12","2","26","6","0"],"lmfdb":"agrees","curve":{"cremona":"429a1","lmfdb":"429.a","ainvs":[1,1,1,2,2],"rank":1,"torsion":2},"space":"429.2.a","level":429,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,1],[11,-1],[13,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/429.2.a.a"}