{"label":"814.2.a.a","letter":"a","dim":1,"charpoly":["11","1"],"traces":["1","-1","-2","1","-3","2","2","-1","1","3","1","-2","2","-2","6","1","3","-1","2","-3","-4","-1","-6","2","4","-2","4","2","6","-6","-10","-1","-2","-3","-6","1","1","-2","-4","3","-12","4","8","1","-3","6","3","-2","-3","-4","-6","2","-12","-4","-3","-2","-4","-6","-12","6","8","10","2","1","-6","2","-10","3","12","6","-3","-1","-10","-1","-8","2","2","4","11","-3","-11","12","3","-4","-9","-8","-12","-1","-12","3","4","-6","20","-3","-6","2","-16","3","1","4","-9","6","14","-2","12","12","9","4","-10","3","-2","2","6","4","18","6","2","12","6","-6","1","-8","24","-10","3","-2","8","-1","-16","6","-6","-2","4","10","-12","-3","-3","-12","-1","-6","-6","3","2","1","-18","10","6","1","3","8","-22","-2","3","-2","30","-4","-10","-11","24","3","-12","11","11","-12","6","-3","3","4","-9","9","2","8","-6","12","8","1","24","12","-3","-3","-10","-4","-16","6","-3","-20","3","3","8","6","-6","-2","23","16","12","-3","15","-1","2","-4","20","9","12","-6","36","-14","-6","2","2","-12","5","-12","6","-9","-24","-4","-20","10","20","-3","6","2","5","-2","4","-6","24","-4","-4","-18","-4","-6","-6","-2","-9","-12","-22","-6","-15","6","5","-1","10","8","9","-24","4","10","-6","-3","15","2","-6","-8","18","1","-30","16","2","-6","6","6","0","2","36","-4","24","-10","12","12","-10","3","-8","3","4","12","-28","1","-10","6","-15","6","-16","-3","12","-2","-24","-1","-8","18","32","-10","-9","-6","36","-1","4","-3","-12","-8","16","22","18","2","-24","-3","-28","2","-28","-30","6","4","-22","10","-6","11","-6","-24","6","-3","-18","12","6","-11","8","-11","20","12","6","-6","-13","3","1","-3","30","-4","-22","9","-12","-9","-10","-2","-20","-8","-36","6","18","-12","-10","-8","8","-1","24","-24","9","-12","-12","3","12","3","-15","10","-2","4","30","16","11","-6","-12","3","-24","20","-7","-3","-6","-3","12","-8","2","-6","-16","6","-24","2","-6","-23","8","-16","6","-12","-18","3","12","-15","-33","1","26","-2","-8","4","24","-20","-20","-9","33","-12","1","6","-22","-36","6","14","-24","6","-9","-2","2","-2","-30","12","-10","-5","3","12","12","-6","16","9","-4","24","3","4","29","20","36","-10","-12","-20","-16","3","-3","-6","-30","-2","36","-5","-6","2","18","-4","-12","6","44","-24","-12","4","26","4","12","18","-24","4","26","6","-60","6","-27","2","-20","9","20","12","8","22","8","6","-12","15","12","-6","2","-5","24","1","48","-10","20","-8","-22","-9","15","24","18","-4","-3","-10","-6","6","-31","3","-6","-15","21","-2","27","6","18","8","30","-18","-20","-1","8","30","-42","-16","3","-2","12","6","-21","-6","20","-6","-16","0","-30","-2","13","-36","-12","4","-24","-24","-27","10","6","-12","-3","-12","-28","10","20","-3","30","8","32","-3","8","-4","12","-12","22","28","6","-1","12","10","16","-6","-6","15","-12","-6","-18","16","-22","3","42","-12","44","2","12","24","-24","1","-34","8","-46","-18","6","-32","-12","10","-6","9","-48","6","-20","-36","-30","1","0","-4","-18","3","-4","12","-9","8","-34","-16","-10","-22","-3","-18","32","-2","-24","24","6","3","38","28","-72","-2","3","28","20","30","-24","-6","-24","-4","-29","22","-4","-10","3","6","32","-11","-10","6","-24","24","-6","-6","-3","3","9","18","-7","-12","48","-6","-18","11","-12","-8","40","11","21","-20","18","-12","-10","-6","33","6","17","13","-12","-3","-12","-1","-36","3","-10","-30","8","4","8","22","16","-9","6","12","-32","9","-48","10","9","2","9","20","8","8","-24","36","-34","-6","2","-18","3","12","-36","10","12","8","24","-8","2","1","18","-24","-18","24","41","-9","11","12","60","12","-6","-3","30","-12","21","-3","28","15","-10","-10","24","2","8","-4","13","-30","24","-16","41","-11","-18","6","-10","12","29","-3","-8","24","0","-20","-9","7","3","3","18","6","35","3","-30","-12","66","8","-19","-2","12","6","-30","16","-20","-6","-9","24","-24","-2","11","6","60","23","6","-8","-40","16","-4","-6","-24","12","-3","18","24","-3","30","-12","29","15","0","33","12","-1","16","-26","-72","2","-3","8","9","-4","-12","-24","-10","20","36","20","-24","9","-9","-33","-25","12","20","-1","-33","-6","16","22","4","36","33","-6","-4","-14","-8","24","24","-6","2","9","56","2","-9","-2","-9","2","-40","30","24","-12","7","10","30","5","27","-3","2","-12","32","-12","-6","6","-28","-16","-6","-9","-6","4","41","-24","48","-3","24","-4","18","-29","16","-20","11","-36","-20","10","-16","12","6","20","-49","16","18","-3","-33","3","20","6","-72","30","0","2","16","-36","-11","5","6","6","9","-2","24","-18","-60","4","-36","12","-32","-6","30","-44","-55","24","-9","12","-24","-4","3","-26","48","-4","-12","-12","-40","-18","56","24","-6","-4","4","-26","14","-6","-45","60","-6","-6","-12","27","-9","-2","-28","20","44","-9","18","-20","72","-12","-24","-8","-60","-22","-20","-8","12","-6","24","12","18","-15","-12","-12","-6","6","69","-2","9","5","-69","-24","41","-1","-12","-48","-6","10","-2","-20","-16","8","-42","22","-12","9","-10","-15","12","-24","-45","-18","-12","4","-48","3","-34","10","26","6","-6","-6","-10","31","4","-3"],"lmfdb":"agrees","curve":{"cremona":"814a1","lmfdb":"814.a","ainvs":[1,0,1,5,30],"rank":1,"torsion":3},"space":"814.2.a","level":814,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,1],[11,-1],[37,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/814.2.a.a"}