/*
www-ATLAS of Group Representations.
U3(3) represented as 14 x 14 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"10000000000000",
"00010000000000",
"00100000000000",
"00000010000000",
"00000000100000",
"00001000000000",
"52345121600000",
"00000100000000",
"00000000000100",
"52454112606000",
"00000000010000",
"50155601500060",
"21164533210106"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"06600000000000",
"00001000000000",
"00000100000000",
"00000001000000",
"00000000010000",
"35454155300000",
"00000000001000",
"25334664201000",
"00000000000010",
"10601006001000",
"00000000000001",
"10015603005010",
"00000001006100"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is U3(3) < GL(14,GF(7))";