/*
www-ATLAS of Group Representations.
A9 represented as 21 x 21 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"000100000000000000000",
"000001000000000000000",
"100000000000000000000",
"000000001000000000000",
"000000000100000000000",
"000000000001000000000",
"000000000000010000000",
"000000000000000100000",
"001000000000000000000",
"000000000000000000100",
"000020402004000200000",
"213011330224143244302",
"430242123423123410331",
"222011314344332140432",
"000010000000000000000",
"341110441242401024202",
"001230010022311042000",
"432200131330410124231",
"314341324403010224420",
"323204321144204433200"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000010000000000000000",
"000000100000000000000",
"000000010000000000000",
"044040000000000000000",
"000000000010000000000",
"000000000000100000000",
"000000000000001000000",
"000000000000000010000",
"000000000000000001000",
"000000000000000000010",
"000000000000000000001",
"444040000000000000000",
"104331104334314220322",
"041014321440213302400",
"421320234001120340244",
"321422321312444242403",
"413212430314002232230",
"123403403243123003310",
"032224321102033400300",
"002432141204044201230"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is A9 < GL(21,GF(5))";