/*
www-ATLAS of Group Representations.
3.U6(2) represented as 21 x 21 matrices over GF(121).
*/

F<w>:=GF(121);

x:=CambridgeMatrix(3,F,21,\[
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
118,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,15,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
10,0,0,0,0,10,0,0,0,10,10,0,0,0,0,0,0,0,0,0,0,
0,0,0,10,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,
0,0,0,10,10,0,0,0,10,0,0,0,10,0,0,0,0,0,0,0,0,
10,0,10,0,0,0,10,0,0,0,0,0,0,10,0,0,0,0,0,0,0,
15,0,14,10,10,15,14,0,10,15,0,0,0,0,10,0,0,0,0,0,0,
14,0,0,117,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,
14,0,0,117,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,
10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,
0,0,10,10,0,0,10,0,0,0,0,0,0,0,0,0,0,0,10,0,0,
10,0,117,117,0,10,117,0,0,10,0,0,0,0,0,0,0,0,0,10,0,
10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10]);

y:=CambridgeMatrix(3,F,21,\[
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
15,14,31,31,47,16,1,15,14,104,31,2,46,14,15,12,119,1,16,118,13,
14,14,0,14,14,14,118,14,0,0,14,14,14,117,0,10,15,15,1,0,14,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,2,1,30,119,119,118,15,103,2,118,33,15,1,13,118,0,1,103,13,
0,14,1,16,29,15,118,15,0,118,30,16,28,10,15,13,1,1,1,118,10,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
14,10,29,14,13,15,15,0,10,1,15,0,13,0,0,116,1,14,15,1,10]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is 3.U6(2) < GL(21,GF(121))";