{"label":"682.2.a.f","letter":"f","dim":3,"charpoly":["4001","442","-57","1"],"traces":["3","3","1","3","1","1","5","3","0","1","3","1","-5","5","8","3","7","0","3","1","-7","3","-5","1","2","-5","-2","5","17","8","3","3","1","7","-6","0","-6","3","6","1","-14","-7","10","3","-9","-5","-4","1","-4","2","-14","-5","16","-2","1","5","4","17","-2","8","7","3","-1","3","15","1","-20","7","-18","-6","0","0","5","-6","-10","3","5","6","-10","1","-17","-14","6","-7","-22","10","-2","3","2","-9","-16","-5","1","-4","-26","1","-5","-4","0","2","8","-14","-16","-5","22","16","-29","-2","0","1","-2","5","27","4","-26","17","-9","-2","28","8","3","7","-24","3","6","-1","18","3","-18","15","-7","1","2","-20","-25","7","6","-18","-34","-6","20","0","-5","0","-11","5","-35","-6","14","-10","12","3","8","5","1","6","3","-10","-10","1","8","-17","-2","-14","8","6","-4","-7","-14","-22","30","10","14","-2","14","3","-22","2","25","-9","-32","-16","13","-5","-2","1","7","-4","13","-26","-34","1","0","-5","-21","-4","31","0","-3","2","28","8","36","-14","-2","-16","8","-5","3","22","4","16","-54","-29","24","-2","5","0","14","1","-36","-2","12","5","-21","27","13","4","46","-26","-7","17","18","-9","-22","-2","16","28","-56","8","45","3","5","7","-41","-24","-32","3","54","6","1","-1","-5","18","35","3","13","-18","-10","15","9","-7","18","1","-28","2","-36","-20","32","-25","-46","7","36","6","2","-18","42","-34","0","-6","44","20","-20","0","5","-5","-4","0","6","-11","4","5","36","-35","20","-6","-2","14","-16","-10","38","12","72","3","-8","8","-3","5","16","1","-18","6","0","3","-17","-10","27","-10","17","1","2","8","31","-17","7","-2","0","-14","-28","8","21","6","0","-4","24","-7","-15","-14","14","-22","3","30","-8","10","3","14","50","-2","-10","14","-21","3","-6","-22","-28","2","-57","25","-3","-9","36","-32","1","-16","62","13","-59","-5","-22","-2","42","1","42","7","-24","-4","-45","13","-30","-26","-48","-34","57","1","-6","0","-42","-5","44","-21","29","-4","43","31","-6","0","5","-3","-31","2","30","28","-5","8","38","36","-6","-14","2","-2","-44","-16","18","8","48","-5","4","3","30","22","-31","4","42","16","5","-54","1","-29","6","24","47","-2","-52","5","53","0","19","14","-65","1","6","-36","-28","-2","-12","12","18","5","-10","-21","-14","27","10","13","51","4","1","46","36","-26","26","-7","47","17","8","18","32","-9","-68","-22","0","-2","10","16","-61","28","18","-56","41","8","10","45","-29","3","33","5","21","7","-14","-41","-14","-24","64","-32","-9","3","54","54","-25","6","20","1","-27","-1","64","-5","-46","18","-64","35","-4","3","22","13","-26","-18","-4","-10","-32","15","25","9","26","-7","-5","18","7","1","-20","-28","-42","2","26","-36","-29","-20","13","32","-4","-25","-30","-46","20","7","0","36","-21","6","21","2","44","-18","-36","42","-16","-34","-57","0","4","-6","-14","44","-69","20","-36","-20","-33","0","-41","5","-40","-5","8","-4","-3","0","-39","6","8","-11","-42","4","16","5","-3","36","25","-35","3","20","17","-6","-26","-2","-79","14","-81","-16","-28","-10","43","38","4","12","1","72","19","3","-64","-8","-14","8","49","-3","-18","5","-75","16","-83","1","44","-18","40","6","-31","0","4","3","-14","-17","-11","-10","28","27","-22","-10","-33","17","-26","1","-20","2","-11","8","48","31","43","-17","-2","7","-7","-2","-9","0","18","-14","-48","-28","-33","8","-27","21","63","6","-57","0","-4","-4","4","24","7","-7","-15","-15","-1","-14","41","14","-14","-22","-93","3","26","30","-98","-8","-8","10","-60","3","-84","14","-1","50","22","-2","-16","-10","50","14","2","-21","-6","3","-32","-6","-56","-22","-44","-28","22","2","-5","-57","15","25","14","-3","-27","-9","-48","36","-10","-32","1","1","-28","-16","12","62","24","13","28","-59","23","-5","-20","-22","-82","-2","-3","42","-38","1","56","42","6","7","-60","-24","-20","-4","92","-45","-50","13","-44","-30","-18","-26","7","-48","0","-34","-5","57","24","1","12","-6","23","0","42","-42","2","-5","14","44","-80","-21","0","29","13","-4","10","43","26","31","2","-6","40","0","-22","5","58","-3","30","-31","-10","2","-24","30","5","28","-55","-5","128","8","18","38","-93","36","2","-6","-52","-14","-116","2","-15","-2","3","-44","19","-16","-10","18","66","8","18","48","22","-5","64","4","-22","3","-2","30","-38","22","26","-31","80","4","-61","42","5","16","-76","5","10","-54","-80","1","51","-29","56","6","-69","24","16","47","77","-2","-8","-52","-123","5","-10","53","64","0","-29","19","36","14","6","-65","-42","1","-28","6","39","-36","16","-28","-13","-2","84","-12","-17","12","122","18","52","5","39","-10","17","-21","86","-14","-24","27","56","10","-50","13","8","51","37","4","6","1","8","46","-57","36","-1","-26","26","26","-28","-7","-4","47","42","17","-4","8","14","18","-10","32","-22","-9","20","-68","46","-22","-87","0","40","-2","-61","10","-5","16","52","-61","79","28","13","18","-14","-56","-2","41","56","8","3","10","31","45","-72","-29","78","3","-32","33","48","5","-72","21","36","7","-83","-14","2","-41","0","-14","96","-24","36","64","10","-32","-16","-9","19","3","-12","54","-52","54","8","-25","4","6"],"lmfdb":"agrees","space":"682.2.a","level":682,"weight":2,"T":[[3,1],[5,3],[7,5],[13,7],[17,9]],"status":"proven","derived":{"al":[[2,-1],[11,-1],[31,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/682.2.a.f"}