{"label":"494.2.a.f","letter":"f","dim":3,"charpoly":["-151","-93","-5","1"],"traces":["3","-3","-1","3","1","1","2","-3","4","-1","-1","-1","3","-2","6","3","-5","-4","-3","1","12","1","-1","1","-2","-3","8","2","7","-6","19","-3","-6","5","-12","4","20","3","-1","-1","9","-12","-8","-1","14","1","4","-1","31","2","-11","3","15","-8","6","-2","1","-7","2","6","-4","-19","-10","3","1","6","16","-5","-6","12","-1","-4","8","-20","7","-3","-26","1","8","1","-21","-9","-3","12","-8","8","-34","1","1","-14","2","-1","-38","-4","-1","1","27","-31","5","-2","-2","11","-10","-3","42","-15","-45","8","4","-6","-32","2","2","-1","-32","7","4","-2","-16","-6","-20","4","-3","19","-12","10","-28","-3","-10","-1","14","-6","-2","-16","-10","5","18","6","16","-12","-14","1","-1","4","-4","-8","-61","20","-25","-7","11","3","-13","26","-19","-1","16","-8","14","-1","50","21","9","9","-21","3","9","-12","3","8","-4","-8","-19","34","24","-1","12","-1","-5","14","25","-2","14","1","-6","38","8","4","18","1","-17","-1","-1","-27","6","31","2","-5","-9","2","20","2","-46","-11","-16","10","-33","3","1","-42","39","15","-6","45","10","-8","0","-4","10","6","-5","32","1","-2","-9","-2","2","1","33","32","34","-7","9","-4","14","2","48","16","52","6","35","20","-17","-4","-15","3","-3","-19","1","12","-6","-10","-25","28","-29","3","60","10","-12","1","3","-14","-47","6","5","2","6","16","22","10","-32","-5","12","-18","-12","-6","10","-16","0","12","57","14","-60","-1","-6","1","44","-4","-30","4","10","8","-10","61","26","-20","-9","25","-1","7","-56","-11","-50","-3","-14","13","30","-26","16","19","-53","1","43","-16","22","8","6","-14","23","1","-4","-50","5","-21","-2","-9","24","-9","-48","21","40","-3","14","-9","56","12","-28","-3","12","-8","0","4","-44","8","17","19","24","-34","33","-24","8","1","12","-12","-51","1","-20","5","-22","-14","3","-25","-6","2","66","-14","21","-1","-7","6","48","-38","-65","-8","-15","-4","7","-18","8","-1","-54","17","-35","1","4","1","2","27","24","-6","8","-31","-68","-2","28","5","-17","9","-12","-2","-35","-20","19","-2","-26","46","6","11","10","16","-44","-10","-24","33","-58","-3","20","-1","32","42","-22","-39","18","-15","-3","6","48","-45","-6","-10","-25","8","-10","0","-43","4","1","-10","44","-6","16","5","-18","-32","-6","-1","59","2","17","9","-22","2","-124","-2","-12","-1","24","-33","-7","-32","11","-34","-14","7","0","-9","-28","4","-40","-14","20","-2","28","-48","2","-16","20","-52","16","-6","20","-35","-118","-20","-10","17","21","4","-3","15","-28","-3","20","3","-11","19","88","-1","13","-12","-3","6","40","10","-64","25","-1","-28","28","29","-96","-3","-8","-60","60","-10","24","12","19","-1","20","-3","5","14","-46","47","0","-6","20","-5","28","-2","9","-6","-15","-16","84","-22","15","-10","-37","32","55","5","14","-12","-19","18","-18","12","-7","6","56","-10","2","16","-31","0","-8","-12","10","-57","-49","-14","26","60","24","1","12","6","16","-1","50","-44","26","4","-16","30","51","-4","112","-10","-24","-8","14","10","52","-61","-19","-26","-26","20","-34","9","-18","-25","-54","1","14","-7","-12","56","72","11","-13","50","2","3","66","14","4","-13","-3","-30","37","26","-50","-16","-31","-19","29","53","26","-1","-51","-43","6","16","-8","-22","38","-8","-32","-6","-22","14","31","-23","-52","-1","74","4","-9","50","-54","-5","13","21","12","2","38","9","-52","-24","-8","9","74","48","-7","-21","-4","-40","-11","3","12","-14","-15","9","-51","-56","-24","-12","52","28","1","3","-17","-12","94","8","-140","0","14","-4","44","44","8","-8","15","-17","43","-19","-22","-24","94","34","-15","-33","92","24","40","-8","-20","-1","-30","-12","24","12","-54","51","36","-1","38","20","6","-5","8","22","44","14","-108","-3","20","25","-30","6","49","-2","-20","-66","26","14","-65","-21","-14","1","20","7","-17","-6","1","-48","19","38","-2","65","-61","8","-68","15","-24","4","116","-7","-66","18","-30","-8","59","1","10","54","28","-17","-36","35","2","-1","-12","-4","-20","-1","-46","-2","-19","-27","80","-24","-9","6","-44","-8","25","31","56","68","-72","2","3","-28","-24","-5","-4","17","68","-9","25","12","6","2","-5","35","48","20","-72","-19","-58","2","7","26","22","-46","-78","-6","22","-11","8","-10","-10","-16","-10","44","-1","10","23","24","10","-33","-9","58","-16","3","-1","-20","-16","1","76","-32","-73","-42","18","22","-38","39","1","-18","-26","15","-18","3","6","-6","-7","-48","-14","45","8","6","62","10","-40","25","-11","-8","-38","10","67","0","-28","43","16","-4","17","-1","68","10","32","-44","-60","6","51","-16","-44","-5","4","18","-24","32","-120","6","-12","1","-4","-59","49","-2","-6","-17","114","-9","-44","22","44","-2","2","124","15","2","-66","12","-28","1","-56","-24","30","33","-92","7","9","32","66","-11","-1","34","-26","14","50","-7","-52","0","-31","9","5","28","9","-4","45","40","-8","14","28","-20","54","2","-70","-28","-15","48","8","-2","74","16","30","-20","83","52","-33","-16","-140","6","116","-20","-60","35","-32","118","-14","20","11","10","-91","-17","-116","-21","7","-4","47","3","-13","-15","18","28","-43","3","-50","-20","92","-3","-48","11","8","-19","-64","-88","-136","1","-34","-13","66","12"],"lmfdb":"agrees","space":"494.2.a","level":494,"weight":2,"T":[[3,1],[5,3],[7,5],[11,7]],"status":"proven","derived":{"al":[[2,1],[13,-1],[19,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/494.2.a.f"}