/*
www-ATLAS of Group Representations.
Sz(8) represented as 35 x 35 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,35,[
"40000000000000000000000000000000000",
"00100000000000000000000000000000000",
"01000000000000000000000000000000000",
"00001000000000000000000000000000000",
"00010000000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000100000000000000000000000000",
"00000100000000000000000000000000000",
"00000010000000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000001000000000000000000000",
"00000000010000000000000000000000000",
"00000000000000001000000000000000000",
"00000000001000000000000000000000000",
"00000000000000000010000000000000000",
"00000000000000000000100000000000000",
"00000000000010000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000100000000000000000000",
"00000000000000000000000000100000000",
"00000000000000010000000000000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000100000000000000000",
"00000000000000000000000000000001000",
"04123421312403320120320421030003000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"22300332242143421413321140231401000",
"00000000000000000000001000000000000",
"40023302012403100043004030200112000",
"00000000000000000000000010000000000",
"00000000000000000000000000000000001",
"00014104001034002003011040240401010",
"00000000000000000000000000000000100"]);

y:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"40000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000010000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00100000000000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000010000000000000000000",
"00001000000000000000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000001000000000",
"00000001000000000000000000000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000010000",
"00000000000000001000000000000000000",
"12311221442033404103003220000010000",
"04100401000000400010000000000000000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000010",
"00000000000100000000000000000000000",
"21422230231230340430143344442304440",
"00000000000000000000000100000000000",
"31101140304341020132210300212312210",
"31312413310042321341301331430142022",
"11243122041243011034142102303302303",
"41124413330434304223224214424024132"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is Sz(8) < GL(35,GF(5))";