/*
www-ATLAS of Group Representations.
M22 represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000000100000000000000",
"001000000000000000000",
"000000000100000000000",
"000100000000000000000",
"000000000001000000000",
"000000000000100000000",
"000001000000000000000",
"000000000000001000000",
"000000010000000000000",
"000000001000000000000",
"000000000000000000100",
"000000000010000000000",
"255424322345553100200",
"341162620555022010500",
"253145635224245001300",
"000000000000010000000",
"342354452342563000110",
"254235501260661000101"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"000001000000000000000",
"000000010000000000000",
"000000001000000000000",
"632302043000000000000",
"000000000010000000000",
"600261061000000000000",
"056666006000000000000",
"000000000000010000000",
"000000000000000100000",
"000000000000000010000",
"000000000000000001000",
"000000000000000000010",
"000000000000000000001",
"262400136550036200061",
"366103651144461042603",
"002122061243561642663",
"225033023003365241510",
"334261220046133014555",
"234212125406165514544"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is M22 < GL(21,GF(7))";