{"label":"537.2.a.f","letter":"f","dim":2,"charpoly":["344","-47","1"],"traces":["2","1","2","5","1","1","3","9","2","-8","4","5","-2","-7","1","3","-3","1","-5","-6","3","2","-4","9","-1","-1","2","-1","11","-8","-2","9","4","-10","10","5","-10","6","-2","-4","7","-7","-13","10","1","-2","12","3","-1","-9","-3","-5","3","1","2","5","-5","14","-10","-6","5","-18","3","7","-1","2","15","-16","-4","-12","-2","9","0","12","-1","-4","6","-1","-13","-24","2","-5","2","-1","7","2","11","18","17","-8","-3","-10","-2","-11","-11","9","2","-26","4","-11","-7","-10","20","-9","10","27","23","5","10","-16","-10","-21","-13","6","-2","36","-2","-39","4","-4","-14","11","7","-22","3","-7","18","-23","-13","8","-14","10","-16","16","1","-22","-7","-2","-25","8","12","16","-4","3","-3","-34","-1","-8","6","-9","-23","-14","-3","-14","16","-5","-24","19","3","-4","-6","1","22","9","2","35","20","5","-24","12","-5","-24","0","14","7","6","-10","0","-2","-6","-26","7","5","-18","-22","-18","-6","13","3","20","17","7","27","18","-1","-28","15","2","39","-13","15","22","8","-16","12","44","-4","-3","-10","-12","-8","33","-2","3","-15","9","14","-12","0","-12","3","12","9","5","-1","19","23","-4","4","16","6","58","5","-1","23","-59","-13","2","1","-24","8","-7","2","21","25","-5","5","-26","2","44","-18","-1","-8","-8","7","-17","-17","2","-32","6","11","-24","-18","18","-24","26","17","46","-2","-8","6","-30","-3","5","-2","-10","-32","-4","-2","28","-30","-11","-27","12","-11","-2","19","9","-21","-44","2","-34","-4","-26","29","-28","4","88","4","-11","-28","-20","-7","18","-6","-10","-3","-2","20","8","26","-9","38","22","10","-7","-5","27","22","12","23","14","-1","5","1","28","10","23","35","-16","5","39","-10","-24","-1","-21","3","-12","-13","26","-4","6","3","-50","-2","34","58","36","-22","-5","-2","18","34","-39","-18","34","4","-1","-3","-4","-17","-30","-14","1","34","11","-7","-6","7","40","-21","-22","20","-20","3","37","-11","-7","-1","-2","18","68","-32","-23","20","5","-13","22","-39","8","6","-30","-14","-69","-32","10","-56","-6","-16","-27","-28","16","2","8","1","-30","-20","-22","-28","-28","-7","84","19","-2","-33","-9","-25","12","-6","8","-30","-72","12","39","10","16","-1","49","-4","52","32","3","-26","-10","-3","8","10","-34","5","-8","-1","10","18","-8","17","47","6","19","-44","-9","14","-7","-23","-48","-10","-14","-18","-66","-3","12","-13","-14","55","42","16","79","22","-5","14","-48","-24","-79","-26","19","-6","10","3","77","71","-4","10","-30","-6","-35","-16","1","29","31","22","4","2","9","-25","-6","2","-54","-20","35","-46","50","20","-26","-21","5","-29","-4","-24","28","-61","12","34","-39","-5","-17","-24","-24","24","52","0","4","-1","14","-34","-52","7","8","20","6","-38","-12","-10","-6","-7","0","20","76","-2","50","-2","-6","-24","-116","-26","-22","22","7","-35","-9","5","-18","-19","-18","-45","-50","-22","-54","27","-18","13","-36","-6","-66","66","13","-32","29","3","8","39","20","33","-10","17","-33","2","7","-24","15","27","-50","-31","18","6","-34","-1","-70","-32","-28","-12","40","15","36","-60","2","2","100","39","2","-42","-13","5","54","15","-66","-7","22","41","-14","8","-20","-12","-16","28","-27","12","10","-83","44","55","40","-4","64","34","-3","-36","70","-10","-26","-2","-12","-34","-33","-8","40","26","33","1","28","-2","-20","51","3","-21","2","-15","8","-1","9","-20","9","14","72","81","-12","10","-15","0","-59","-32","-12","12","45","3","43","-42","12","-22","16","9","-60","10","5","-8","-7","-1","-60","21","19","-14","40","23","-36","-28","-4","-12","27","4","6","-3","16","61","34","6","29","-21","58","-2","74","5","9","-23","-1","42","14","23","34","-36","-59","38","8","-13","68","4","2","-2","-5","1","-95","-39","-24","-4","-51","8","-82","-14","-7","-65","-5","2","0","11","21","-55","124","25","-18","30","-5","51","-4","5","15","49","-26","-82","-41","2","-32","43","44","30","-33","-18","-14","-3","-1","-2","93","-8","-24","11","-8","32","102","7","-67","10","-17","60","-24","-17","59","4","2","18","26","-32","-28","-26","6","-4","20","11","-78","-46","-24","51","-39","-18","52","-45","18","-5","-11","-24","72","4","26","-1","-13","17","-14","0","46","-20","18","-2","-6","-37","-8","-1","-14","6","24","-6","-30","41","37","-3","-4","43","5","45","124","-2","1","-46","-10","-16","-8","-32","-7","27","-4","44","-8","-2","-3","-16","28","11","-32","-30","-88","-12","-11","-21","81","-27","22","20","12","16","-9","-11","95","31","-2","39","22","19","16","39","9","-34","-13","-21","18","-26","-44","-15","28","2","-12","-38","-34","-60","130","-4","-48","72","-26","38","16","29","77","38","-28","44","-68","4","65","-47","88","-1","-43","4","-22","-28","-11","-30","-10","-28","-33","4","-20","43","-2","-7","12","-58","18","4","-60","-6","-58","-4","-10","65","8","-3","-49","2","-2","-12","19","20","58","33","8","-23","89","26","-74","14","-9","7","-44","38","-2","26","22","-14","-117","10","4","1","-7","0","14","-5","18","70","27","-51","79","22","44","-19","12","-26","-12","23","-14","22","14","7","-63","-1","-8","-93","5","-46","-62","1","33","-16","28","34","54","10","-16","-28","23","84","-72","35","4","26","-16","11","-26","5","24","45","39","22","-74","-10","56"],"lmfdb":"agrees","space":"537.2.a","level":537,"weight":2,"T":[[2,1],[5,3],[7,5],[11,7]],"status":"proven","derived":{"al":[[3,-1],[179,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/537.2.a.f"}