/*
www-ATLAS of Group Representations.
J2:2 represented as 21 x 21 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,21,[
"040000000000000000000",
"400000000000000000000",
"000040000000000000000",
"000004000000000000000",
"004000000000000000000",
"000400000000000000000",
"000000004000000000000",
"000000000040000000000",
"000000400000000000000",
"000000000000040000000",
"000000040000000000000",
"000000000000000040000",
"000000000000000000400",
"000000000400000000000",
"221212000400041000000",
"422004032443304340413",
"000000000004000000000",
"233341034101133431321",
"000000000000400000000",
"224444242044400040410",
"012432024442213440422"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"010000000000000000000",
"444400000000000000000",
"000000100000000000000",
"000000010000000000000",
"000000000100000000000",
"000000000001000000000",
"000000000000100000000",
"000000000000001000000",
"000000000000000100000",
"000000000000000001000",
"000000000000000000010",
"000000000000000000001",
"110204410232431021021",
"140223430130041213033",
"114013114301424242014",
"302322010113314041042",
"340430004214344133122",
"133121040402341144004",
"430431442413443134033"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is J2:2 < GL(21,GF(5))";