/*
www-ATLAS of Group Representations.
J2 represented as 21 x 21 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000001000000000000000",
"001000000000000000000",
"000100000000000000000",
"000000001000000000000",
"000000000100000000000",
"000000100000000000000",
"000000010000000000000",
"000000000000010000000",
"000000000000001000000",
"000000000000000010000",
"000000000010000000000",
"000000000001000000000",
"114243847338311814220",
"000000000000100000000",
"115052541085658531880",
"552825861280044186450",
"886267465783811318100",
"441318174144653475332"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"120100000000000000000",
"102100000000000000000",
"000000100000000000000",
"000000010000000000000",
"200220200000000000000",
"000000000010000000000",
"000000000001000000000",
"000000000000100000000",
"000001000000000000000",
"000000000000000100000",
"000000000000000001000",
"000000000000000000100",
"000000000000000000010",
"000000001000000000000",
"108178485664602428120",
"000000000100000000000",
"788287365763811518100",
"000000000000000000001",
"000000000000001000000"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is J2 < GL(21,GF(9))";