{"label":"465.2.a.a","letter":"a","dim":1,"charpoly":["13","1"],"traces":["1","-1","1","-1","1","-1","-4","3","1","-1","-4","-1","2","4","1","-1","-6","-1","-4","-1","-4","4","0","3","1","-2","1","4","-6","-1","-1","-5","-4","6","-4","-1","10","4","2","3","-6","4","-12","4","1","0","0","-1","9","-1","-6","-2","-2","-1","-4","-12","-4","6","-8","-1","6","1","-4","7","2","4","8","6","0","4","-12","3","6","-10","1","4","16","-2","-8","-1","1","6","12","4","-6","12","-6","-12","6","-1","-8","0","-1","0","-4","-5","-6","-9","-4","-1","-10","6","20","6","-4","2","12","-1","-2","4","10","4","18","4","0","6","2","8","24","3","5","-6","-6","1","1","4","-8","3","-12","-2","0","4","16","-8","1","-18","10","0","12","4","0","12","-8","-1","-6","-6","9","-10","6","-1","16","-12","-6","-16","-1","-2","-10","8","-2","-5","0","-1","-8","6","-4","-12","-8","-12","-9","6","-4","12","-18","6","-4","4","-8","-6","-12","-1","-2","8","6","0","10","1","24","0","-4","4","-12","7","26","6","2","-9","-26","4","0","3","8","10","24","6","-6","-20","0","-2","16","4","-4","2","-12","-12","-12","3","4","2","6","4","-12","-10","-16","20","1","-18","12","4","-26","0","16","-18","-22","-2","0","8","-8","-24","-24","-1","18","-5","1","-6","9","6","-8","-3","12","-1","-20","4","0","8","-6","-17","-14","12","-40","-2","-6","0","-8","-12","-2","-16","6","-8","-6","-1","16","6","-8","-10","-4","0","2","-12","-1","-12","18","0","-32","12","-4","8","24","-5","19","6","-6","-6","6","-9","-8","30","-4","-6","0","-1","48","-16","-10","4","6","6","0","-16","20","1","12","6","-10","10","-4","8","-2","2","24","7","12","0","24","-1","2","8","-2","-18","0","4","4","-12","10","8","8","4","-10","9","18","6","4","4","-8","-36","0","18","12","6","-2","4","2","20","10","8","-12","-6","24","12","-4","3","-3","2","5","8","6","-6","-16","0","-6","-10","8","1","14","-24","1","0","-12","4","36","4","-8","12","-8","3","16","-26","-12","6","2","-2","0","27","0","26","-8","4","-18","0","16","-1","6","-8","-2","10","1","-24","-40","-18","34","6","10","-20","32","0","12","-10","12","-16","-24","4","6","4","0","-6","-6","12","-24","-12","-8","12","-28","-1","30","-4","-6","2","0","-6","-8","-12","9","12","36","-10","6","16","6","-28","6","-1","24","-18","16","-12","-8","-12","-42","26","-6","0","2","-16","-40","6","-1","22","-12","-2","-32","0","-10","-24","48","8","-4","-24","-2","24","-4","-5","20","-18","0","-5","-6","-1","16","18","-8","-9","36","6","36","8","-4","1","48","-12","4","-1","-8","20","-8","-12","-10","0","-9","8","-14","6","-24","11","-4","14","20","12","0","40","-18","6","-38","6","-12","0","-4","8","6","4","-23","2","-8","-16","-12","-6","12","24","-12","6","-36","-1","14","-16","-2","30","-2","8","-8","-10","6","4","24","0","32","-2","10","-12","-10","1","-24","4","24","-18","-28","0","18","32","-4","-36","30","4","-36","8","-12","-24","0","7","-30","-19","26","6","-48","6","8","18","2","-6","12","-9","4","8","-26","-10","18","4","24","-6","0","0","12","3","34","-48","8","-16","5","10","28","20","24","-6","0","6","2","0","-6","48","-22","-20","-28","1","0","-12","-24","-2","1","10","16","10","-60","4","-8","-24","-4","2","-8","2","18","-24","-12","3","22","-12","28","0","-12","-24","24","3","32","-2","4","8","-18","2","0","6","6","0","-40","4","-26","-4","-12","36","16","-10","0","8","-16","-8","-24","20","-26","10","1","9","-18","-18","24","-18","12","-4","20","4","10","8","-26","12","-4","0","4","18","16","-12","12","-18","36","2","-22","4","22","-2","-40","-28","0","-10","40","8","6","12","-8","18","0","-24","-8","12","-24","4","-48","-1","-80","3","18","2","-6","-5","28","-24","1","-6","72","-6","30","16","9","0","-32","6","-20","-10","-8","-8","24","-3","6","-14","12","-24","-48","-1","32","0","-20","12","16","4","42","-36","0","-12","14","8","8","12","-6","8","-16","-17","-30","-16","-14","-26","30","12","-1","-18","-40","-2","24","-2","48","0","-6","-9","-10","0","4","26","-8","8","-72","-12","12","18","-2","0","46","-16","0","-5","6","-6","-24","-8","0","2","-6","-30","-18","-1","-28","-24","16","40","-8","6","48","-34","-8","6","18","-10","-48","60","-4","-32","36","0","6","-12","2","14","-54","-12","-8","-16","-1","24","28","-12","7","-6","18","4","-9","0","-20","2","-32","6","0","12","-26","24","-4","36","-54","8","28","12","24","28","32","-5","-18","-30","19","-4","32","6","16","-6","-6","0","-4","-6","-2","8","6","4","14","-9","52","12","-8","-36","-16","30","32","-6","-4","16","0","-6","-12","-12","0","-6","6","-1","12","-24","48","54","-2","-16","-40","-12","-10","8","-48","4","-48","42","6","26","0","6","32","0","0","-2","-24","-16","10","40","20","30","-18","1","-36","22","12","12","24","6","2","32","-10","0","10","10","0","8","-4","-48","12","8","12","4","-2","72","-22","2","-12","24","24","4","-40","7","1","-20","12","-18","26","0","-8","15","24","6","0","-1","-48","-16","2","-6","18","8","-24","-9","-2","-36","24","-18","-26","-36","0","8","0","4","-32","5","4","-48","0","-12","30","-4","10","3"],"lmfdb":"agrees","curve":{"cremona":"465b1","lmfdb":"465.a","ainvs":[1,0,0,-10,-13],"rank":1,"torsion":2},"space":"465.2.a","level":465,"weight":2,"T":[[2,1],[7,3]],"status":"proven","derived":{"al":[[3,-1],[5,-1],[31,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/465.2.a.a"}