{"label":"219.2.a.d","letter":"d","dim":4,"charpoly":["-191","-698","252","-28","1"],"traces":["4","1","-4","5","9","-1","-4","3","4","-2","2","-5","6","8","-9","3","9","1","1","16","4","-16","4","-3","11","2","-4","-24","10","2","-10","7","-2","6","-18","5","-11","-22","-6","-10","4","-8","-10","-24","9","-24","7","-3","4","-27","-9","-2","11","-1","4","-4","-1","2","11","-16","23","-12","-4","-9","26","16","-23","16","-4","48","22","3","4","-24","-11","26","8","-2","-3","-10","4","-6","13","24","-3","40","-10","-24","8","-2","4","-12","10","-12","3","-7","5","-51","2","29","3","-6","-32","-30","18","14","-3","-5","-3","-24","11","-4","-14","22","30","22","6","32","-10","10","0","36","-4","16","27","8","-15","15","10","8","3","24","-48","-18","-9","58","-14","24","0","-72","-7","56","12","3","10","1","-4","-44","14","27","-22","24","9","36","-26","2","4","-22","-11","42","-12","1","12","-50","-4","32","-34","4","-8","2","1","12","-42","-2","-56","-24","-11","70","-13","16","20","36","-23","-56","-55","12","-4","42","4","-92","22","9","-32","40","-26","45","-18","-16","18","-71","23","-2","-20","-16","12","-24","4","-30","-2","-48","9","64","-22","4","-18","-3","-28","-20","-4","-12","-34","24","-36","-44","11","-2","26","-26","14","-60","-8","42","-5","2","23","26","3","-36","23","10","14","33","-4","4","57","6","-44","28","-13","-100","30","-24","44","-18","3","-49","-50","-40","20","4","10","-20","-21","24","11","48","-8","-42","10","2","8","58","-4","-38","20","12","32","68","-10","8","31","12","-20","88","-3","20","44","7","23","-16","-5","5","14","51","-7","22","-2","46","40","-29","28","-24","-3","24","17","6","-20","8","32","-52","12","30","-26","-42","-18","-34","32","-14","-4","-30","3","100","47","5","66","-64","3","-58","-54","24","-32","74","-11","28","-35","4","-20","35","14","38","-24","-22","-68","8","-30","-10","20","-22","53","176","-6","-24","54","-32","76","42","10","-36","-20","-10","39","54","0","-16","9","-36","4","-56","4","-28","-50","-16","-36","-92","-27","24","-20","-8","-10","98","15","40","28","-15","-12","-2","-10","-28","0","-8","-46","-53","-3","78","-37","-24","87","-88","48","-71","-6","18","-60","-56","9","-4","46","-58","-12","32","14","-76","6","-24","41","26","0","-52","-38","72","10","74","7","86","-72","-56","32","-18","-12","108","91","-3","16","-8","-10","-108","0","-1","-12","-56","4","-44","14","44","14","92","-14","84","-65","-27","64","-46","22","-68","4","-24","-31","14","-9","32","-22","-36","-29","42","26","-98","3","-2","24","-78","-4","84","-72","22","28","-56","11","-100","104","-42","-68","-14","12","17","-45","-1","-135","62","-12","-198","21","50","70","-92","4","28","-32","-32","73","54","34","28","38","-4","-1","60","8","42","40","-2","-4","-113","-1","-106","-60","-12","-16","-40","42","-84","-114","2","63","-54","56","56","26","24","-4","-22","11","-100","60","-70","-5","-64","13","42","14","-16","-12","28","-20","-26","-43","-36","-11","-6","23","20","48","56","12","-118","55","32","0","-12","12","8","4","62","39","-42","6","48","-4","24","-46","92","-38","32","-22","28","120","-9","46","61","32","60","-42","-40","-56","3","26","18","-90","-45","90","70","18","22","-56","16","-36","42","-18","28","7","71","-62","-96","-23","20","-55","2","15","28","20","104","-22","16","20","-12","-12","64","-47","24","64","36","-4","16","28","30","94","86","2","26","57","48","2","28","-9","94","-11","-64","10","-84","22","58","-36","-4","68","-40","18","52","-34","3","-36","10","28","0","4","20","-39","-58","4","56","-72","12","80","72","34","44","-190","-24","-24","-92","36","-12","6","44","-53","-54","-11","-69","-6","2","68","80","-26","-24","-1","26","-14","152","-14","8","-50","60","16","-98","8","8","-4","-42","-48","-76","5","-156","-51","-2","61","8","-23","-122","54","-26","-10","80","-3","46","-36","36","40","110","-23","-76","130","-10","52","-25","-14","150","-22","-33","-17","-8","4","-2","-54","-4","39","-52","-57","32","14","-6","-49","-62","44","-28","66","-28","36","6","13","-164","22","100","-98","24","-30","-40","-44","24","15","148","-44","44","6","18","88","-20","-3","-56","-30","49","-64","100","50","70","-25","40","-32","82","-20","62","-94","-4","-100","-112","-10","-53","48","20","-43","110","21","-32","44","-24","20","68","-11","0","-20","-48","41","129","8","30","2","42","-92","-88","-10","-42","-98","-2","3","-80","-8","44","112","-58","-90","142","4","-80","-78","38","16","-84","-20","-100","-4","-12","30","22","-32","42","-43","-68","-44","-8","10","-12","2","-8","-56","-14","-31","30","27","-12","16","86","20","-62","-20","-88","-55","-84","3","-20","-132","-20","92","-76","-44","60","123","-7","-138","50","-23","-16","50","16","0","-34","5","-148","-154","-5","-24","32","-14","-56","9","-51","64","-12","7","20","-77","-22","-60","168","2","40","95","-46","27","-12","-40","-82","20","29","105","100","-28","-114","90","24","-50","8","3","124","16","-24","-80","-80","-17","-30","34","-6","2","-128","20","110","76","-8","-130","118","-32","2","42","52","141","-96","-12","108","-46","-30","-13","12","26","122","82","42","72","84","18","0","-54","34","6","-264","-32","-24","-12","14","-24","-42","4","16","-32","30","-16","-48","-3","10","-44","-100","-12","127","-47","148","25","-5","36","-54","-66","62","34","64","-96","200","-3","-132","49","58","-38","68","54","44","-68","-24","-6","4","32","-4","134","-74","-80","74","11","-136"],"lmfdb":"agrees","space":"219.2.a","level":219,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,1],[73,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/219.2.a.d"}