{"label":"515.2.a.a","letter":"a","dim":4,"charpoly":["-11","-28","-15","4","1"],"traces":["4","-1","-1","-1","4","-4","-3","-3","-5","-1","-9","3","-11","1","-1","-3","-3","4","-8","-1","-7","4","5","9","4","-5","-1","-5","-19","-4","-4","8","-7","13","-3","-7","-13","13","3","-3","-21","3","4","2","-5","-16","3","-3","-5","-1","-4","16","1","17","-9","0","16","-11","3","3","-36","-1","17","-3","-11","9","-4","4","11","1","5","4","-9","-3","-1","-16","22","11","14","-3","-4","6","22","13","-3","24","28","-4","0","4","10","23","3","5","-8","-15","10","19","19","-1","-26","3","4","3","-7","-20","4","-5","-9","4","17","21","34","8","5","2","8","2","-16","9","-7","18","-18","42","4","4","20","15","-11","-5","8","10","-26","39","-1","-18","21","-5","-32","-5","1","23","32","20","-19","8","-14","-13","-16","-4","-11","27","-7","2","-4","-1","2","-55","22","8","-23","-11","25","-12","-7","-31","-33","-1","-1","13","3","-41","1","19","-3","13","-6","28","2","-7","-40","7","15","-1","-13","4","4","27","11","13","43","-2","-3","36","3","-12","11","-5","-13","-3","-27","-29","2","-5","-21","-1","-28","-3","-21","3","4","-6","2","-5","4","-30","-38","26","-16","2","4","13","-9","13","-5","-48","37","-45","-24","-16","2","56","6","12","3","-9","-2","-36","-9","-3","-17","-3","21","7","-5","21","-21","-34","0","-1","39","-4","-21","-15","-4","-7","8","-4","11","16","19","6","5","-20","1","-31","-18","-28","18","17","-24","-24","23","-35","-9","-6","-26","4","-36","0","-11","-3","-26","-49","16","-1","78","-11","-15","-11","-11","-20","6","5","3","46","24","-84","13","3","7","-69","22","6","-36","-35","-66","-13","-1","-1","58","-38","-27","-50","17","21","29","-1","12","-3","23","9","28","42","-11","-13","6","9","-45","9","15","-4","25","-8","-4","-26","-18","16","1","4","7","-55","33","2","11","69","-37","-45","-39","1","0","15","-33","-3","5","31","39","-24","-63","4","72","46","39","-1","-9","36","-40","-35","66","-3","0","-5","5","-43","-1","-34","42","-26","35","-16","-40","33","47","33","22","32","20","-28","0","11","-2","-16","-5","27","14","1","-56","-20","39","-3","-30","4","52","68","-4","22","8","-10","23","6","42","-1","11","37","22","19","17","-23","-4","13","4","-8","-39","47","-3","-5","-1","-14","30","24","13","-3","61","-38","28","1","-32","9","-25","-4","17","-32","3","-31","0","25","42","-27","-7","4","93","-35","52","2","10","0","9","6","38","23","-15","-22","-34","28","3","48","-10","-9","12","5","4","-2","-14","-14","-8","14","2","93","-39","-15","12","-26","20","-19","10","-47","26","26","18","19","27","30","-31","38","19","-77","-11","-22","-14","-1","-13","-22","80","-27","-26","25","17","15","-28","3","54","-43","-22","-6","4","-2","-16","18","-37","3","6","5","-13","-81","-7","0","79","-16","-25","-20","7","74","63","0","4","-34","-12","13","24","-5","-5","-59","-16","-5","-9","-10","0","14","32","4","94","-13","65","-16","17","30","-69","0","-66","21","41","81","24","-7","34","-33","-48","23","-39","8","95","-39","-22","33","5","2","-12","41","-73","2","22","-10","-27","5","8","16","-51","9","-31","2","20","41","-5","-46","-16","88","-41","-13","-41","9","68","-24","24","58","-7","26","18","-130","27","18","12","17","-95","0","-18","-9","-21","-4","-30","42","-31","-45","-51","-1","4","-26","-14","68","-34","4","-12","18","-24","-7","20","-24","-2","31","14","15","41","-4","-55","1","-11","-1","-19","-9","1","-5","87","49","84","9","8","72","46","-46","-17","10","-70","-70","20","13","-26","-8","-6","12","7","39","60","-19","-29","34","-1","-42","-45","-34","-42","-18","22","-39","-51","82","21","-33","36","37","-11","-5","-70","-88","-35","21","-32","-40","-39","18","-46","-5","21","-41","86","-18","1","23","-2","10","21","23","8","-77","79","16","32","-5","-116","-37","-39","20","-3","-122","42","22","-19","7","-45","7","16","8","7","-48","-103","-58","-14","39","27","0","39","-13","-80","43","22","-50","-16","71","-9","-10","-30","-4","53","-71","-60","84","-11","-23","59","-20","-2","27","13","-20","-47","-47","-7","-43","-14","-11","-105","2","-28","-3","12","-61","-4","-29","-1","-26","-54","-1","-42","45","-76","10","2","-8","-38","8","15","-55","61","-12","82","-15","22","3","-44","26","78","8","-41","35","51","15","-23","-71","-87","9","-64","-11","-18","62","31","22","25","28","82","3","-49","-12","-122","-21","-15","-3","-7","6","10","-38","-57","-31","84","-45","33","32","-33","85","34","-52","17","-1","81","31","-78","-5","-1","-16","-39","28","6","13","-35","-27","-103","-40","3","38","150","-32","88","-41","-42","131","146","31","1","-52","-1","7","17","19","-28","-12","-17","140","-3","24","-17","18","11","13","58","-43","73","-43","-6","-38","-5","-13","55","28","-13","-51","-2","16","2","-89","-21","66","-53","-7","-69","-6","-32","50","-40","11","62","-43","-9","7","-11","63","-35","7","15","-64","63","-2","-30","-1","63","13","-89","-6","-13","-1","-5","-105","102","4","18","-25","11","112","4","-2","52","-58","-8","27","-90","-2","-84","14","11","-31","-48","59","15","13","-90","77","67","38","43","-60","-27","24","-70","-2","118","75","-12","45","-3","23","3","68","-63","36","5","-10","-8","21","3","7","57","-25","8","-12","-15","65","-87","-30","11","-68","71","-18","-85","-5","-82","70","75","-27","-13","31","-94","-39","-53","-3"],"lmfdb":"agrees","space":"515.2.a","level":515,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[5,-1],[103,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/515.2.a.a"}