/*
www-ATLAS of Group Representations.
S7 represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000000100000000000000",
"001000000000000000000",
"000000000100000000000",
"000100000000000000000",
"000000000000100000000",
"000000000000001000000",
"000001000000000000000",
"000000000000000010000",
"000000000000000000100",
"000000010000000000000",
"104624032620521606255",
"000000001000000000000",
"064646201503663251222",
"000000000010000000000",
"225153252211643304066",
"000000000001000000000",
"156342110440601605234",
"625364021416505122654"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"000001000000000000000",
"000000010000000000000",
"000000001000000000000",
"000000000010000000000",
"000000000001000000000",
"000000000000010000000",
"066666006000000000000",
"000000000000000100000",
"000000000000000001000",
"000000000000000000010",
"000000000000000000001",
"355356641265513515501",
"061613456105563120245",
"446552605211304024255",
"540112322502626633633",
"433320136512204263206",
"130015442152535466233",
"525112324523464002066",
"222410131613131346234"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is S7 < GL(21,GF(7))";