/*
www-ATLAS of Group Representations.
J2 represented as 21 x 21 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000100000000000000000",
"001000000000000000000",
"000001000000000000000",
"000010000000000000000",
"000000001000000000000",
"000000000100000000000",
"000000100000000000000",
"000000010000000000000",
"000000000000100000000",
"000000000000010000000",
"000000000010000000000",
"000000000001000000000",
"000000000000000010000",
"330022424203032420000",
"000000000000001000000",
"440000404023231014000",
"000000000000000000001",
"222200222240401010040",
"000000000000000000100"]);

y:=CambridgeMatrix(1,F,21,[
"130000000000000000000",
"001000000000000000000",
"044000000000000000000",
"000010000000000000000",
"000000100000000000000",
"000000010000000000000",
"000100000000000000000",
"000000000010000000000",
"000000000001000000000",
"113210024000000000000",
"000001000000000000000",
"102102200400000000000",
"000000000000001000000",
"000000000000000100000",
"000000000000000001000",
"000000000000000000100",
"000000000000000000010",
"000000000000100000000",
"000000000000010000000",
"414030404020341201234",
"114442002014041044342"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is J2 < GL(21,GF(5))";