/*
www-ATLAS of Group Representations.
A7 represented as 13 x 13 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,13,[
"0100000000000",
"0001000000000",
"0000010000000",
"1000000000000",
"0000000100000",
"0000000010000",
"0000000000100",
"2202200200000",
"0010000000000",
"0000000000010",
"0000000000001",
"1022221122121",
"0000001000000"]);

y:=CambridgeMatrix(1,F,13,[
"0010000000000",
"0000100000000",
"2000200000000",
"0000001000000",
"0220200000000",
"0000000001000",
"0000012000000",
"0101000100000",
"0220200000100",
"0002020000000",
"0020000000001",
"0200200010002",
"1122221122122"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is A7 < GL(13,GF(3))";