{"label":"214.2.a.b","letter":"b","dim":1,"charpoly":["42","1"],"traces":["1","-1","1","1","-4","-1","-2","-1","-2","4","-3","1","-1","2","-4","1","6","2","1","-4","-2","3","-7","-1","11","1","-5","-2","-6","4","4","-1","-3","-6","8","-2","-9","-1","-1","4","-5","2","12","-3","8","7","8","1","-3","-11","6","-1","7","5","12","2","1","6","-6","-4","1","-4","4","1","4","3","-10","6","-7","-8","6","2","-4","9","11","1","6","1","-7","-4","1","5","4","-2","-24","-12","-6","3","-15","-8","2","-7","4","-8","-4","-1","-6","3","6","11","-15","-6","6","1","8","-7","-1","-5","-6","-12","-9","-2","6","-1","28","-6","2","6","-12","4","-2","-1","-5","4","-24","-4","6","-1","12","-4","0","-3","-2","10","20","-6","22","7","-14","8","8","-6","3","-2","24","4","-3","-9","3","-11","1","-1","-12","-6","-16","-1","-14","7","7","4","14","-1","11","-5","12","-4","-12","2","-12","24","-2","12","-20","6","-22","-3","-6","15","6","8","-20","-2","1","7","36","-4","-18","8","10","4","18","1","-11","6","4","-3","9","-6","7","-11","-10","15","12","6","20","-6","14","-1","-3","-8","28","7","6","1","-48","5","-8","6","-4","12","-6","9","1","2","-22","-6","-21","1","6","-28","6","6","23","-2","-32","-6","-7","12","-19","-4","6","2","16","1","12","5","-1","-4","4","24","-12","4","21","-6","-24","1","12","-12","18","4","12","0","21","3","-28","2","-15","-10","-2","-20","-24","6","2","-22","-33","-7","-20","14","-8","-8","4","-8","28","6","-4","-3","10","2","19","-24","-6","-4","13","3","24","9","15","-3","7","11","-24","-1","-15","1","-4","12","8","6","6","16","10","1","-22","14","-16","-7","12","-7","18","-4","-1","-14","6","1","-11","-11","-6","5","-16","-12","-12","4","18","12","40","-2","-3","12","6","-24","-12","2","20","-12","28","20","-30","-6","2","22","5","3","-26","6","-24","-15","-12","-6","-2","-8","-18","20","-2","2","16","-1","16","-7","10","-36","-14","4","-26","18","-24","-8","6","-10","-30","-4","6","-18","37","-1","-24","11","-24","-6","-8","-4","-42","3","0","-9","28","6","18","-7","-2","11","32","10","-4","-15","-4","-12","27","-6","8","-20","22","6","12","-14","-16","1","-14","3","20","8","31","-28","-16","-7","66","-6","-2","-1","3","48","-8","-5","14","8","24","-6","-7","4","-25","-12","6","6","10","-9","60","-1","3","-2","26","22","15","6","1","21","-8","-1","-29","-6","-30","28","-13","-6","-1","-6","-16","-23","33","2","20","32","-14","6","-36","7","11","-12","-14","19","20","4","9","-6","14","-2","24","-16","18","-1","11","-12","-6","-5","-36","1","-24","4","-12","-4","-8","-24","-12","12","31","-4","60","-21","-12","6","-22","24","8","-1","-5","-12","-24","12","-24","-18","-20","-4","-2","-12","-16","0","-22","-21","24","-3","26","28","12","-2","5","15","4","10","6","2","9","20","12","24","-20","-6","24","-2","8","22","-2","33","-6","7","14","20","36","-14","-18","8","-12","8","-18","-4","-40","8","-24","-28","-2","-6","-25","4","-21","3","18","-10","-77","-2","3","-19","-11","24","-8","6","-21","4","-8","-13","-17","-3","4","-24","9","-9","-20","-15","48","3","7","-7","-5","-11","8","24","20","1","8","15","-22","-1","12","4","-8","-12","14","-8","20","-6","-14","-6","32","-16","35","-10","30","-1","41","22","-3","-14","-54","16","22","7","28","-12","-24","7","3","-18","-12","4","18","1","-41","14","-48","-6","-24","-1","18","11","-8","11","-34","6","0","-5","8","16","-18","12","22","12","-6","-4","8","-18","42","-12","1","-40","-3","2","-40","3","-55","-12","14","-6","12","24","-21","12","-44","-2","-88","-20","6","12","-7","-28","21","-20","-12","30","56","6","-30","-2","23","-22","-30","-5","-9","-3","-32","26","30","-6","10","24","14","15","-28","12","-12","6","-19","2","-6","8","-12","18","6","-20","-66","2","-7","-2","13","-16","72","1","-20","-16","12","7","30","-10","-16","36","-1","14","27","-4","-12","26","-8","-18","2","24","-14","8","-12","-6","-4","10","48","30","21","4","-45","-6","12","18","48","-37","6","1","-18","24","12","-11","-14","24","44","6","18","8","-5","4","-18","42","30","-3","56","0","22","9","21","-28","-12","-6","-1","-18","-28","7","-39","2","48","-11","30","-32","12","-10","-56","4","-2","15","34","4","31","12","-24","-27","-44","6","12","-8","-4","20","36","-22","46","-6","-33","-12","-54","14","4","16","-20","-1","-18","14","48","-3","-20","-20","40","-8","7","-31","4","28","48","16","4","7","28","-66","63","6","4","2","8","1","-43","-3","-9","-48","10","8","-54","5","80","-14","19","-8","21","-24","10","6","12","7","48","-4","4","25","13","12","7","-6","-1","-6","24","-10","-32","9","-12","-60","-3","1","8","-3","-24","2","7","-26","-24","-22","42","-15","-24","-6","80","-1","-32","-21","30","8","-16","1","-12","29","-4","6","0","30","4","-28","8","13","-6","6","-99","1","-12","6","-56","16","-3","23","10","-33","72","-2","27","-20","-22","-32","38","14","35","-6","-40","36","10","-7","4","-11","12","12","-24","14","-72","-19","18","-20","-44","-4","-15","-9","2","6","44","-14","-12","2","6","-24","0","16","28","-18","-11","1","-43","-11","45","12","12","6","-6","5","-36","36","-16","-1","-84","24","20","-4","-12","12","-28","4","-10","8","45","24"],"lmfdb":"agrees","curve":{"cremona":"214c1","lmfdb":"214.b","ainvs":[1,0,1,-193,1012],"rank":1,"torsion":1},"space":"214.2.a","level":214,"weight":2,"T":[[3,1],[5,3],[7,5],[11,7]],"status":"proven","derived":{"al":[[2,1],[107,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/214.2.a.b"}