/*
www-ATLAS of Group Representations.
J2 represented as 36 x 36 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000100000000000000000000000000000000",
"001000000000000000000000000000000000",
"000001000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000001000000000000000000000000000",
"210012112000000000000000000000000000",
"000000100000000000000000000000000000",
"000000000010000000000000000000000000",
"000000000100000000000000000000000000",
"000000000000100000000000000000000000",
"000000000001000000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000010000000000000000000",
"000000000000010000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000000100000000000000000",
"000000000000000001000000000000000000",
"000000000000000000001000000000000000",
"000000000000000000010000000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000100000000000",
"000000000000000000000100000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000010000000",
"000000000000000000000000010000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000000010000",
"000000000000000000000000000000000100",
"000000000000000000000000000001000000",
"001200102210001022112102011220101200",
"000000000000000000000000000000100000",
"100212020200021200110201011000101020",
"211101122221100002211222222221210202"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"022000000000000000000000000000000000",
"121000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000100000000000000000000000000000000",
"000000000100000000000000000000000000",
"201200121100000000000000000000000000",
"000001000000000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000001000000000000000000000",
"000000000010000000000000000000000000",
"000000000000000001000000000000000000",
"022020100101011221000000000000000000",
"212210202202002100000000000000000000",
"000000000000100000000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000010000000000000",
"000000000000000000100000000000000000",
"000000000000000000000000010000000000",
"000000000000000000000000001000000000",
"111110001202022010000001000000000000",
"000000000000000000001000000000000000",
"210200010010102110000000100000000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000001000",
"101022002100002111111100002011002100",
"000000000000000000000000000000000010",
"000000000000000000000000000100000000",
"121202212110022120220220100110202000",
"000000000000000000000000000000000001",
"000000000000000000000000000000010000"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is J2 < GL(36,GF(3))";