/*
www-ATLAS of Group Representations.
L3(3) represented as 27 x 27 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,27,[
"100000000000000000000000000",
"010000000000000000000000000",
"022000000000002000000000000",
"000000000000000100000000000",
"000000100000000000000000000",
"000220000000000002000000000",
"000010000000000000000000000",
"000000000010000000000000000",
"010010010100100000000102000",
"020000000200200000000000000",
"000000010000000000000000000",
"000000000001000000000000000",
"000000000000100000000000000",
"000000000000010000000000000",
"000000000000001000000000000",
"000100000000000000000000000",
"200100020020011120000000100",
"000002200000000200000000000",
"000020020000000000000200000",
"000000000000000000000010000",
"000000100010000000120000002",
"000000200020000000200000000",
"000000000000000000010000000",
"000000002200000000200000000",
"000000000000000000000000100",
"000000000002000000000000220",
"000000000000000000002220000"]);

y:=CambridgeMatrix(1,F,27,[
"022000000000002000000000000",
"000100000000000000000000000",
"000010000000000000000000000",
"000000000010000000000000000",
"200000020020000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000000000001000000000000",
"000000000002000000020020000",
"000000000000010000000000000",
"010000000000000000000000000",
"000002000000000000000002020",
"000000000000000100000000000",
"000000100000000000000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000000000000000010000000",
"000000010000000000000000000",
"000000000000100000000000000",
"000000000000000000000001000",
"000000000001000000000000000",
"000000000000000000000000100",
"000000000000000000000000010",
"000000000000000010000000000",
"002000000000000002000000002",
"000000002000000020002000000",
"000020020000000000000200000"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is L3(3) < GL(27,GF(3))";