{"label":"561.2.a.g","letter":"g","dim":3,"charpoly":["-74990","-2244","36","1"],"traces":["3","-2","-3","2","-2","2","-1","-6","3","8","-3","-2","4","-4","2","4","-3","-2","-12","-10","1","2","4","6","-7","-18","-3","-2","1","-8","-6","-4","3","2","-4","2","4","12","-4","8","-13","4","-2","-2","-2","-20","-21","-4","-10","-4","3","30","-3","2","2","14","12","-20","-21","10","18","8","-1","4","-18","-2","-3","-2","-4","-4","-18","-6","21","-14","7","-28","1","18","-4","-16","3","38","0","2","2","18","-1","6","-19","8","2","40","6","30","12","4","-2","20","-3","14","-2","-2","-21","-32","4","26","-1","-2","23","-8","-4","8","2","-12","-20","48","4","20","1","-8","3","10","13","-24","6","-4","8","32","2","38","-1","2","16","-4","2","6","-15","20","-11","6","21","-8","-4","4","-20","8","10","10","4","4","-30","56","-3","4","8","-30","-5","-10","3","12","-4","-2","24","-32","-2","-28","8","-14","9","-8","-12","14","-11","20","1","-4","21","10","-11","-10","2","10","-18","-48","-14","-8","3","-20","1","-52","-20","-4","-6","26","18","-24","10","2","-42","-6","3","0","-9","2","38","50","4","36","12","4","-9","-48","18","48","18","6","14","-6","-21","10","-4","14","-16","-20","-7","0","1","28","-23","48","-1","-58","-3","-18","30","-44","4","4","-40","16","-7","-2","-3","-24","20","-38","-40","44","0","-40","-18","-2","-4","48","-2","-56","5","-18","14","-68","1","-18","-42","-6","26","12","19","-46","-18","-8","32","-4","-2","-20","7","-40","29","-12","-6","4","6","-30","-28","14","-12","18","-31","-4","3","50","2","-22","-22","-20","20","0","3","4","60","-14","-48","-22","2","-24","10","2","2","2","21","-36","-6","32","0","-10","-4","36","70","-26","-1","24","1","12","12","2","18","-6","-23","14","-19","8","-16","66","4","-60","-4","-8","53","-80","-2","10","6","12","1","-60","20","-34","39","-48","6","18","-4","4","1","-20","-8","-24","-1","-40","-30","8","23","10","-3","-6","8","-10","-22","40","-13","18","-1","24","28","-2","-6","22","68","4","-8","80","-8","48","32","-32","4","70","-2","-26","11","-38","-4","28","1","-40","-10","-2","-30","22","-16","8","10","4","-32","-44","-2","18","-4","-6","22","-58","15","-46","25","-20","-28","-12","11","-12","2","-6","25","2","-21","50","7","8","-14","-40","4","10","37","-4","-33","4","20","18","-56","-8","-63","-8","-10","18","12","-10","10","-14","-4","-20","-16","-4","13","44","30","18","10","-56","56","12","3","-88","6","-4","-69","40","-8","12","-9","30","57","-62","5","90","2","10","8","2","-3","24","19","-12","24","-18","4","2","26","2","76","-8","-24","-44","-28","32","-1","132","2","-16","20","28","10","36","-8","74","-19","14","0","20","-9","-64","1","8","-15","8","12","4","50","-14","21","6","11","96","26","-20","82","68","-1","44","6","4","11","-54","-21","-4","-70","-10","48","106","11","-8","10","10","17","-12","-2","4","-6","-10","4","-8","18","4","-60","48","-12","-34","14","-34","-16","8","-4","8","-3","-4","20","20","0","-2","-1","24","22","52","27","-30","20","-12","28","4","41","-2","6","-98","-10","-26","3","-14","-18","8","72","24","56","-86","-10","28","-66","-2","4","-6","42","-136","19","6","34","-14","-3","42","-2","0","-16","-8","9","12","-50","-2","76","-12","-38","-14","2","-50","8","60","-4","100","23","-36","-5","-26","-12","14","-4","-4","-67","-44","9","-56","48","48","-44","20","-18","-48","20","-48","-10","0","-18","-12","1","-6","21","-14","-14","-34","0","6","-18","-76","21","12","-50","-10","-31","-18","4","-76","12","-14","96","32","16","-52","-18","20","-9","0","7","154","-79","0","-24","-8","-1","-8","70","-28","-20","28","23","-36","-74","-48","-104","76","1","56","-12","58","13","-36","3","6","-4","18","-8","-4","-30","-96","46","44","-30","-22","-4","66","-48","-4","18","32","40","68","-42","-16","-33","-66","7","-6","45","2","13","-12","3","20","2","24","42","18","-20","0","3","38","16","-28","40","-20","-65","-44","4","50","0","2","-55","40","46","-60","18","-148","-22","2","6","46","4","-80","-28","-48","-29","-88","2","-52","-64","56","-38","4","-5","-112","-50","18","-6","4","-14","-48","40","68","18","20","-1","-40","-10","18","23","-24","42","28","-46","6","-34","20","-26","2","-46","-12","21","12","-19","56","-21","46","12","96","18","92","-43","8","-100","8","-32","14","-6","4","-56","-76","2","90","-8","20","6","34","-7","22","-23","40","82","66","-29","-56","10","12","-60","28","6","-52","34","-4","36","72","-6","14","-80","30","-1","-52","28","4","20","-14","-49","-46","12","-14","-26","-18","-59","-24","31","62","4","4","-34","-38","-3","-8","4","-50","-42","-70","-2","160","38","22","86","54","22","16","-24","20","73","-30","-20","-24","-16","0","-40","-62","-3","88","64","-4","-40","8","-60","92","-58","14","3","-38","48","-92","10","22","56","-68","-2","-2","-26","24","0","-92","-10","26","-31","-2","32","120","-2","-100","22","-2","-2","74","-21","16","54","36","48","-52","6","82","-2","-32","8","10","0","82","-31","10","-64","-40","4","-18","64","-36","-30","44","-70","-14","-68","26","48","-38","1","-78","63","-24","-49","-46","-1","10","70","-12","2","-6","-12","-30","80","-2","69","-100","-18","-20","-85","6","19","68","23","72","52","-14","-40","20","19","-208","28","-8","-46","-16","16","44","22","-66","-49","68","-4","-4"],"lmfdb":"agrees","space":"561.2.a","level":561,"weight":2,"T":[[2,1],[5,3],[13,5],[19,7],[23,9]],"status":"proven","derived":{"al":[[3,1],[11,1],[17,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/561.2.a.g"}