/*
www-ATLAS of Group Representations.
U3(3) represented as 7 x 7 matrices over GF(49).
*/

F<w>:=GF(49);

x:=CambridgeMatrix(3,F,7,\[
0,1,0,0,0,0,0,
1,0,0,0,0,0,0,
0,0,0,0,1,0,0,
1,6,45,1,11,0,0,
0,0,1,0,0,0,0,
47,9,8,0,48,1,0,
38,18,7,0,42,0,1]);

y:=CambridgeMatrix(3,F,7,\[
0,0,1,0,0,0,0,
0,0,0,1,0,0,0,
0,0,0,0,0,1,0,
0,6,6,6,0,0,0,
0,0,0,0,0,0,1,
1,0,5,0,0,2,0,
0,0,8,0,6,2,6]);

G<x,y>:=MatrixGroup<7,F|x,y>;
print "Group G is U3(3) < GL(7,GF(49))";