/*
www-ATLAS of Group Representations.
A9 represented as 21 x 21 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"220000000000000000000",
"000010000000000000000",
"000000100000000000000",
"000000010000000000000",
"000000000100000000000",
"000000000001000000000",
"001000000000000000000",
"000000000000001000000",
"000000000000000010000",
"211022211200011021000",
"000100000000000000000",
"000000000000000000100",
"122111012221120001200",
"120011012211120002200",
"210202020212021122000",
"000001000000000000000",
"120020221120111022200",
"120021020022112021000",
"120211021101202010110",
"001102102220110021201"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"000001000000000000000",
"022200000000000000000",
"000000001000000000000",
"000000000010000000000",
"000000000000100000000",
"000000000000010000000",
"000000000000000100000",
"000000000000000001000",
"222200000000000000000",
"021010101001021020000",
"000000000000000000010",
"210200011102121120220",
"000000000000000000001",
"010000120011211002102",
"212010210020102212201",
"101220201201211020210",
"202122221011001022210",
"002120121120200100120",
"101212020110012200022"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is A9 < GL(21,GF(3))";