/*
www-ATLAS of Group Representations.
Sz(8) represented as 64 x 64 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,64,[
"0100000000000000000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000000000000",
"0000000000000000000000000000000010000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000000000000",
"0000000000000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000000000000010000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000001000000000000000000000",
"0000000000000000000000000100000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000000000000001000000000000000000000000",
"0000000000000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000000000000000000000000000100000000000000",
"0000000000000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000000100000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000000000000000000000010000000",
"1111111111111111111111111111111111111111111111111111111111111111"]);

y:=CambridgeMatrix(1,F,64,[
"1000000000000000000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000000000000",
"0100000000000000000000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000000000000001000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000000000000",
"0000000000000000000000000000000000000000100000000000000000000000",
"0000000000000000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000000000000010000000000000000000",
"0000000000001000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000100000000000000000",
"0000000000000010000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000000000000100000000000000",
"0000000000000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000000000000000100000",
"0000000000000000000010000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000001000000000000000000",
"0000000000000000000000100000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000001000000000000000000000",
"0000000000000000000000001000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000010000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000001",
"1111111111111111111111111111111111111111111111111111111111111111",
"0000000000000000000000000000000000100000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000100"]);

G<x,y>:=MatrixGroup<64,F|x,y>;
print "Group G is Sz(8) < GL(64,GF(2))";