/*
www-ATLAS of Group Representations.
McL:2 represented as 21 x 21 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000100000000000000000",
"001000000000000000000",
"000001000000000000000",
"000010000000000000000",
"000000001000000000000",
"000000000100000000000",
"000000100000000000000",
"000000010000000000000",
"000000000000010000000",
"000000000000001000000",
"000000000000000010000",
"000000000010000000000",
"000000000001000000000",
"212100221111022100000",
"000000000000100000000",
"101000120020001221200",
"202000200110202120200",
"000000000000000000001",
"000000000000000000010"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"022000000000000000000",
"121000000000000000000",
"000010000000000000000",
"000000100000000000000",
"000000010000000000000",
"000100000000000000000",
"000000000010000000000",
"000000000001000000000",
"000000000000100000000",
"000001000000000000000",
"000000000000000100000",
"000000000000000001000",
"120111110112110101000",
"000000000000000000100",
"000000001000000000000",
"000000000000000000010",
"000000000100000000000",
"000110102002002200200",
"111202120222202122120",
"021020102002201201201"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is McL:2 < GL(21,GF(3))";