{"label":"738.2.a.d","letter":"d","dim":1,"charpoly":["-48","1"],"traces":["1","-1","0","1","2","0","4","-1","0","-2","4","0","2","-4","0","1","-2","0","-4","2","0","-4","0","0","-1","-2","0","4","6","0","-8","-1","0","2","8","0","-2","4","0","-2","-1","0","4","4","0","0","-12","0","9","1","0","2","6","0","8","-4","0","-6","4","0","-10","8","0","1","4","0","12","-2","0","-8","12","0","-6","2","0","-4","16","0","12","2","0","1","-12","0","-4","-4","0","-4","-2","0","8","0","0","12","-8","0","10","-9","0","-1","-10","0","16","-2","0","-6","12","0","-14","-8","0","4","-18","0","0","6","0","-4","-8","0","5","10","0","-8","-12","0","-8","-1","0","-4","-12","0","-16","-12","0","2","6","0","20","8","0","-12","8","0","12","6","0","-2","-10","0","-20","4","0","-16","-16","0","-14","-12","0","-2","0","0","20","-1","0","12","12","0","-9","4","0","4","-14","0","-4","4","0","2","-4","0","-14","-8","0","0","-4","0","-8","-12","0","8","-4","0","10","-10","0","9","10","0","28","1","0","10","24","0","-2","-16","0","2","-16","0","-20","6","0","-12","8","0","-32","14","0","8","-4","0","-16","-4","0","18","-12","0","-14","0","0","-6","14","0","-24","4","0","8","4","0","-14","-5","0","-10","18","0","-8","8","0","12","-20","0","0","8","0","1","-10","0","-8","4","0","12","-4","0","12","16","0","12","10","0","8","-2","0","-6","-4","0","-2","-20","0","-8","30","0","4","12","0","-8","-4","0","-13","-12","0","-6","30","0","8","2","0","10","0","0","16","20","0","-4","-20","0","20","16","0","16","20","0","2","14","0","12","14","0","24","2","0","0","8","0","-2","-20","0","1","-48","0","-28","-12","0","-12","24","0","18","9","0","-4","-32","0","8","-4","0","14","12","0","14","4","0","-4","14","0","24","-2","0","4","8","0","-3","14","0","8","-12","0","-16","0","0","4","24","0","22","8","0","12","12","0","4","-8","0","4","-36","0","32","-10","0","10","-22","0","0","-9","0","-10","24","0","-22","-28","0","-1","-18","0","-16","-10","0","-24","-8","0","10","2","0","16","16","0","-24","-2","0","16","-20","0","18","20","0","-6","2","0","-40","12","0","-8","0","0","2","32","0","-14","0","0","28","-8","0","4","-20","0","-4","16","0","4","-18","0","-4","-18","0","12","16","0","18","14","0","0","-14","0","28","6","0","-14","28","0","48","24","0","-4","16","0","4","-8","0","-4","12","0","-4","14","0","5","20","0","-16","10","0","-18","-12","0","-12","8","0","-8","48","0","-20","-12","0","20","-12","0","-20","0","0","-8","-10","0","-24","-1","0","10","32","0","-48","8","0","-4","-10","0","-20","-12","0","4","16","0","-23","-12","0","-16","-2","0","24","-12","0","-10","36","0","-34","-8","0","2","-28","0","4","6","0","4","-24","0","48","2","0","20","-10","0","8","8","0","-30","36","0","-36","-4","0","-12","6","0","-12","8","0","4","0","0","-14","13","0","12","-48","0","24","6","0","-30","-44","0","32","-8","0","-2","6","0","-16","-10","0","0","0","0","-22","-16","0","-20","10","0","32","4","0","20","-24","0","6","-20","0","-16","-26","0","20","-16","0","-20","-8","0","-19","-2","0","-14","4","0","40","-12","0","-14","-16","0","18","-24","0","-2","-50","0","-20","0","0","-8","32","0","16","2","0","20","6","0","-24","-1","0","48","-12","0","-26","28","0","12","-32","0","0","12","0","-24","-40","0","-6","-18","0","-9","18","0","40","4","0","32","36","0","12","-8","0","4","12","0","-28","-14","0","-12","40","0","2","-14","0","-4","2","0","8","4","0","-14","-40","0","-46","-24","0","2","0","0","16","-4","0","-8","12","0","64","3","0","-14","-6","0","28","-8","0","12","-8","0","6","16","0","0","48","0","-12","-4","0","-24","0","0","-20","-22","0","-8","48","0","-44","-12","0","-12","-40","0","2","-4","0","8","6","0","-56","-4","0","36","8","0","34","-32","0","10","-2","0","8","-10","0","22","4","0","48","0","0","9","-28","0","20","10","0","-24","-72","0","-20","22","0","28","42","0","24","1","0","18","-24","0","0","16","0","10","6","0","28","24","0","8","40","0","-16","-10","0","-2","-22","0","-52","-16","0","-16","28","0","14","24","0","2","-18","0","24","-16","0","20","44","0","7","-18","0","-20","-18","0","20","6","0","-2","0","0","-2","40","0","-12","-10","0","12","8","0","0","48","0","-28","-2","0","-32","48","0","24","14","0","0","-48","0","-18","-28","0","8","46","0","20","-4","0","20","-52","0","-32","4","0","-16","48","0","-8","-4","0","18","-48","0","-12","4","0","18","-28","0","28","-12","0","-16","48","0","-48","-18","0","-14","-48","0","4","0","0","14","24","0","2","-28","0","-6","-2","0","-36","14","0","-28","-16","0","26","-48","0","-24","18","0","0","4","0","-16","-36","0","-12","-4","0","8","22","0","-8","4","0","-12","24","0","33","4","0","-14","20","0","-20","-5","0","-20","20","0","80","16","0","-10","14","0","-8","18","0","12","16","0","20","12","0","-8","0","0","-12","8","0","-48","56","0","10","20","0","12"],"lmfdb":"agrees","curve":{"cremona":"738c1","lmfdb":"738.d","ainvs":[1,-1,0,-81,-243],"rank":0,"torsion":2},"space":"738.2.a","level":738,"weight":2,"T":[[5,1],[7,3],[11,5],[13,7]],"status":"proven","derived":{"al":[[2,1],[3,null],[41,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/738.2.a.d"}