/*
www-ATLAS of Group Representations.
L2(8) represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000100000000000000000",
"001000000000000000000",
"000001000000000000000",
"000010000000000000000",
"000000001000000000000",
"000000000100000000000",
"000000100000000000000",
"000000010000000000000",
"000000000000010000000",
"000000000000001000000",
"000066111100600000000",
"000000000010000000000",
"000000000001000000000",
"000000000000000600000",
"000000000000000000100",
"000000000000000000001",
"000000000000000010000",
"000000000000000000060",
"000000000000000001000"]);

y:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"001000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000000100000000000000",
"000000010000000000000",
"000100000000000000000",
"000000000010000000000",
"000000000001000000000",
"000000000000100000000",
"000001000000000000000",
"000066111100600000000",
"000100666011100000000",
"000000000000000100000",
"000000000000000010000",
"000000000000000001000",
"000000000000000000010",
"000000000000010000000",
"016611000660106601110",
"000000000000001000000",
"160006000110601106061"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is L2(8) < GL(21,GF(7))";