{"label":"338.2.a.f","letter":"f","dim":1,"charpoly":["-10","1"],"traces":["1","1","1","1","3","1","1","1","-2","3","-6","1","0","1","3","1","-3","-2","-2","3","1","-6","0","1","4","0","-5","1","6","3","4","1","-6","-3","3","-2","7","-2","0","3","0","1","-1","-6","-6","0","-3","1","-6","4","-3","0","0","-5","-18","1","-2","6","6","3","8","4","-2","1","0","-6","-14","-3","0","3","3","-2","-2","7","4","-2","-6","0","8","3","1","0","-12","1","-9","-1","6","-6","6","-6","0","0","4","-3","-6","1","10","-6","12","4","-12","-3","-4","0","3","0","12","-5","7","-18","7","1","-6","-2","0","6","0","6","-3","3","25","8","0","4","-3","-2","20","1","-1","0","-21","-6","-2","-14","-15","-3","0","0","-13","3","-3","3","0","-2","18","-2","-6","7","6","4","-17","-2","6","-6","12","0","14","8","0","3","0","1","16","0","-18","-12","0","1","0","-9","4","-1","0","6","4","-6","6","6","3","-6","20","0","8","0","21","4","18","-3","-5","-6","-18","1","4","10","0","-6","-3","12","2","4","-14","-12","6","-3","0","-4","0","0","12","3","-13","0","3","12","-3","-5","4","7","-2","-18","0","7","19","1","-8","-6","0","-2","13","0","-6","6","-27","0","-9","6","8","-3","-15","3","10","25","16","8","-18","0","0","4","-12","-3","24","-2","0","20","-9","1","9","-1","7","0","-12","-21","-12","-6","0","-2","6","-14","24","-15","-11","-3","0","0","-24","0","-28","-13","-8","3","6","-3","-4","3","-6","0","0","-2","-8","18","10","-2","-21","-6","18","7","30","6","0","4","-1","-17","-12","-2","24","6","-2","-6","-4","12","-30","0","-1","14","-6","8","6","0","-36","3","12","0","6","1","0","16","7","0","-3","-18","-8","-12","-14","0","-42","1","23","0","-6","-9","-24","4","-13","-1","0","0","3","6","19","4","0","-6","-24","6","9","6","-3","3","0","-6","-15","20","25","0","-6","8","26","0","0","21","0","4","-4","18","-3","-3","0","-5","-20","-6","20","-18","-21","1","-18","4","2","10","-6","0","0","-6","-21","-3","24","12","34","2","-2","4","-36","-14","0","-12","3","6","-42","-3","-32","0","0","-4","6","0","-36","0","-13","12","9","3","-17","-13","6","0","-12","3","8","12","0","-3","33","-5","-25","4","18","7","0","-2","26","-18","12","0","21","7","18","19","6","1","-6","-8","0","-6","-17","0","0","-2","10","13","15","0","-9","-6","40","6","12","-27","36","0","-14","-9","14","6","6","8","-8","-3","0","-15","21","3","0","10","0","25","30","16","16","8","16","-18","-9","0","-18","0","36","4","3","-12","40","-3","0","24","-30","-2","-36","0","0","20","18","-9","-2","1","10","9","-12","-1","18","7","0","0","-9","-12","20","-21","4","-12","-12","-6","-23","0","-12","-2","0","6","36","-14","3","24","36","-15","-11","-11","20","-3","21","0","17","0","-16","-24","-12","0","8","-28","21","-13","-3","-8","0","3","18","6","39","-3","-18","-4","1","3","15","-6","5","0","-18","0","0","-2","-38","-8","4","18","-12","10","0","-2","0","-21","-24","-6","-8","18","-3","7","-18","30","-9","6","2","0","6","4","-19","-1","28","-17","75","-12","14","-2","6","24","0","6","-38","-2","0","-6","24","-4","28","12","0","-30","6","0","-29","-1","12","14","-21","-6","-29","8","-13","6","60","0","0","-36","-6","3","-18","12","-14","0","-3","6","-6","1","-36","0","4","16","0","7","-63","0","4","-3","-36","-18","22","-8","0","-12","-6","-14","0","0","19","-42","-48","1","-19","23","-20","0","48","-6","10","-9","0","-24","-24","4","0","-13","13","-1","0","0","-8","0","12","3","-39","6","0","19","-27","4","0","0","-14","-6","-9","-24","-12","6","-26","9","-16","6","0","-3","0","3","-15","0","6","-6","-4","-15","10","20","24","25","-10","0","13","-6","3","8","-23","26","-18","0","84","0","-20","21","0","0","9","4","18","-4","24","18","12","-3","-40","-3","24","0","-51","-5","-16","-20","0","-6","6","20","7","-18","18","-21","0","1","-32","-18","9","4","39","2","16","10","7","-6","0","0","-18","0","-30","-6","42","-21","40","-3","-12","24","-6","12","0","34","0","2","-42","-2","9","4","-12","-36","12","-14","0","0","24","-12","-33","3","-20","6","-11","-42","48","-3","2","-32","0","0","3","0","14","-4","-24","6","-18","0","38","-36","-28","0","18","-13","0","12","-20","9","0","3","7","-17","6","-13","0","6","25","0","-4","-12","0","3","37","8","12","12","-42","0","-4","-3","0","33","45","-5","0","-25","-8","4","-48","18","0","7","-20","0","-3","-2","13","26","-21","-18","21","12","29","0","18","21","0","7","20","18","-6","19","6","6","9","1","0","-6","24","-8","0","0","-1","-6","60","-17","-37","0","24","0","30","-2","72","10","24","13","-21","15","-16","0","-2","-9","0","-6","28","40","8","6","-36","12","12","-27","-30","36","54","0","-34","-14","-1","-9","21","14","0","6","-15","6","-6","8","0","-8","6","-3","15","0","-54","-15","-36","21","0","3","-15","0","-24","10","12","0","31","25","6","30","-3","16","-13","16","0","8","54","16","-36","-18","-14","-9","-39","0","-9","-18","-3","0","0","36","2","4","-8","3","6","-12","-46","40","-35","-3"],"lmfdb":"agrees","curve":{"cremona":"338c1","lmfdb":"338.f","ainvs":[1,0,0,81,467],"rank":0,"torsion":1},"space":"338.2.a","level":338,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,-1],[13,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/338.2.a.f"}