/*
www-ATLAS of Group Representations.
J2:2 represented as 14 x 14 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"10000000000000",
"00010000000000",
"00100000000000",
"00000010000000",
"00000000100000",
"00001000000000",
"00000000001000",
"00000100000000",
"00000000000010",
"00000001000000",
"14001244331120",
"00000000010000",
"23323221314041"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"04400000000000",
"00001000000000",
"00000100000000",
"00000001000000",
"03344202000000",
"00000000010000",
"12104001000000",
"00000000000100",
"00000000000001",
"42430031120134",
"13014331014330",
"32222111430111",
"04103013020003"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is J2:2 < GL(14,GF(5))";