{"label":"506.2.a.f","letter":"f","dim":1,"charpoly":["55","1"],"traces":["1","1","0","1","-3","0","-3","1","-3","-3","-1","0","-1","-3","0","1","-1","-3","-2","-3","0","-1","1","0","4","-1","0","-3","3","0","-5","1","0","-1","9","-3","3","-2","0","-3","4","0","-2","-1","9","1","5","0","2","4","0","-1","-14","0","3","-3","0","3","0","0","-6","-5","9","1","3","0","9","-1","0","9","5","-3","-8","3","0","-2","3","0","-11","-3","9","4","2","0","3","-2","0","-1","-4","9","3","1","0","5","6","0","-8","2","3","4","-11","0","-20","-1","0","-14","16","0","-2","3","0","-3","12","0","-3","3","3","0","3","0","1","-6","0","-5","3","9","12","1","0","3","11","0","6","9","0","-1","-10","0","-4","9","0","5","1","-3","-9","-8","0","3","-6","0","-4","-2","3","3","15","0","-19","-11","0","-3","-3","9","16","4","0","2","2","0","-12","3","6","-2","6","0","-12","-1","0","-4","-12","9","14","3","0","1","-9","0","1","5","0","6","-16","0","12","-8","0","2","-22","3","-4","4","0","-11","-9","0","-12","-20","-3","-1","2","0","9","-14","0","16","6","0","15","-2","0","3","1","0","-12","-3","-12","12","22","0","-26","-3","0","3","-6","3","-15","0","0","3","6","0","-25","1","0","-6","-6","0","2","-5","0","3","24","9","-1","12","0","1","-13","0","-9","3","-9","11","7","0","42","6","0","9","-22","0","-8","-1","0","-10","-4","0","-13","-4","15","9","10","0","24","5","0","1","-12","-3","-16","-9","0","-8","-8","0","0","3","0","-6","-1","0","6","-4","0","-2","18","3","9","3","0","15","-25","0","-16","-19","-27","-11","24","0","-3","-3","0","-3","2","9","-4","16","0","4","-15","0","-6","2","-9","2","-27","0","-2","-12","0","3","5","6","15","-2","0","6","3","0","-5","-12","0","-1","5","0","-15","-4","0","-12","15","9","-15","14","0","3","24","0","-24","1","-12","-9","42","0","34","1","0","5","-3","0","-11","6","0","-16","-18","0","-9","12","6","-8","-21","0","-1","2","0","-22","33","3","34","-4","0","4","10","0","5","-11","-27","-9","-3","0","-10","-12","0","-20","0","-3","-6","-1","0","2","5","0","37","9","-15","-14","-4","0","18","16","0","6","13","0","6","15","0","-2","-2","0","-32","3","-6","1","0","0","12","-12","0","-3","-11","-12","-4","12","0","22","-9","0","26","-26","0","-3","30","0","-31","3","0","-6","23","3","-27","-15","0","0","2","0","-8","3","42","6","39","0","-3","-25","0","1","24","0","40","-6","0","-6","39","0","-3","2","-9","-5","-15","0","-20","3","0","24","36","9","33","-1","0","12","24","0","24","1","0","-13","60","0","-5","-9","0","3","22","-9","-26","11","0","7","5","0","1","42","0","6","-4","0","-48","9","0","-22","-2","0","45","-8","0","-1","6","0","-8","-10","18","-4","-6","0","33","-13","0","-4","32","15","2","9","0","10","-30","0","-36","24","-27","5","11","0","2","1","0","-12","4","-3","-2","-16","0","-9","-6","0","14","-8","-9","-8","-40","0","10","0","0","3","18","0","-9","-6","0","-1","7","0","-20","6","-27","-4","-3","0","-10","-2","0","18","-5","3","32","9","0","3","-18","0","23","15","0","-25","12","0","-29","-16","0","-19","-3","-27","-28","-11","0","24","-36","0","-2","-3","-15","-3","-12","0","25","-3","0","2","25","9","0","-4","0","16","-22","0","-33","4","24","-15","-26","0","-37","-6","0","2","-18","-9","3","2","0","-27","6","0","-20","-2","0","-12","-36","0","24","3","0","5","-18","6","30","15","0","-2","14","0","-34","6","-9","3","12","0","-4","-5","0","-12","-44","0","-6","-1","0","5","33","0","-14","-15","33","-4","-5","0","-3","-12","0","15","0","9","60","-15","0","14","12","0","28","3","-27","24","2","0","20","-24","0","1","-9","-12","-5","-9","0","42","-45","0","18","34","-6","1","-48","0","-2","5","0","-3","12","0","11","-11","0","6","-6","0","6","-16","-9","-18","0","0","-14","-9","0","12","-15","6","-20","-8","0","-21","-8","0","-5","-1","0","2","57","0","40","-22","0","33","-36","3","6","34","0","-4","39","0","-5","4","12","10","8","0","9","5","0","-11","28","-27","11","-9","0","-3","-48","0","4","-10","-9","-12","-51","0","29","-20","0","0","-26","-3","-8","-6","0","-1","-2","0","-6","2","0","5","-34","0","-20","37","0","9","36","-15","-3","-14","0","-4","3","0","-9","18","-18","16","-54","0","-10","6","0","13","-56","0","-18","6","0","15","11","0","-9","-2","24","-2","-9","0","-29","-32","0","3","-18","-6","8","1","0","0","50","0","-36","12","-9","-12","-10","0","36","-3","0","-11","-15","-12","14","-4","0","12","-42","0","-17","22","33","-9","-2","0","-2","26","0","-26","-33","0","-49","-3","0","30","-5","0","12","-31","60","3","-18","0","-4","-6","0","23","-3","3","-19","-27","0","-15","12","0","4","0","0","2","24","0","8","-8","0","3","59","42","48","6","0","39","30","0","-6","-3","-48","-25","-36","0","18","1","0","24","-39","0","12","40","0","-6","18","0","4","-6","6","39","12","0","66","-3","0","2","-2","-9","15","-5","0","-15","12","0","42","-20","0","3"],"lmfdb":"agrees","curve":{"cremona":"506e1","lmfdb":"506.f","ainvs":[1,-1,1,-4,-1],"rank":1,"torsion":1},"space":"506.2.a","level":506,"weight":2,"T":[[3,1],[5,2],[7,3],[13,4],[17,5],[19,6],[29,7],[31,8]],"status":"proven","derived":{"al":[[2,-1],[11,1],[23,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/506.2.a.f"}