/*
www-ATLAS of Group Representations.
U3(11) represented as 10 x 10 matrices over GF(121).
*/

F<w>:=GF(121);

x:=CambridgeMatrix(3,F,10,\[
1,0,0,0,0,0,0,0,0,0,
0,10,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,
93,0,75,75,34,34,35,10,35,0,
0,0,0,0,0,0,1,0,0,0,
0,0,10,10,0,0,0,0,0,10]);

y:=CambridgeMatrix(3,F,10,\[
0,1,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,1,0,0,
0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,
87,85,92,7,90,0,35,80,1,52,
0,0,0,0,0,1,0,0,0,0]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is U3(11) < GL(10,GF(121))";