/*
www-ATLAS of Group Representations.
U3(4):4 represented as 65 x 65 matrices over GF(13).
*/

F:=GF(13);

x:=CambridgeMatrix(3,F,65,\[
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
5,12,1,11,0,3,5,2,7,10,11,0,4,11,9,11,2,9,1,1,12,3,5,9,10,9,6,6,9,4,8,12,3,12,0,6,12,2,5,11,11,1,3,12,0,3,7,8,11,3,9,11,5,7,5,4,10,8,5,8,10,3,2,12,11,
4,12,5,10,7,1,2,5,0,0,0,9,11,10,3,9,4,5,8,8,4,6,0,5,12,9,12,5,10,4,9,1,5,8,12,10,11,7,5,11,3,5,6,11,5,11,0,7,2,12,10,11,6,0,8,1,6,1,12,4,9,2,6,3,1,
9,9,7,12,5,1,5,0,10,11,9,1,9,9,3,8,7,3,3,7,12,12,6,9,3,8,4,10,6,9,5,2,3,2,0,3,0,12,4,6,10,2,6,4,0,5,11,3,2,8,9,4,3,2,1,6,8,8,2,5,6,10,4,7,11,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
12,4,2,11,7,0,8,4,9,1,10,11,10,11,6,6,7,11,4,4,6,3,10,0,3,7,11,9,11,6,1,11,3,0,9,6,8,9,4,7,6,10,12,9,4,1,9,2,11,1,10,0,6,5,12,6,7,8,11,4,7,1,6,4,5,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
7,10,1,4,1,6,12,10,6,12,3,4,1,12,5,1,3,8,4,0,9,12,11,1,2,8,9,5,11,12,9,1,7,5,2,8,0,6,12,11,9,3,9,3,8,12,1,3,3,12,9,10,6,3,9,10,12,0,2,7,11,12,3,10,7,
2,12,5,12,4,6,8,1,12,0,11,1,3,8,10,8,11,4,8,7,12,11,11,8,6,8,5,4,9,12,10,8,9,2,11,5,4,10,4,11,6,6,1,12,1,10,0,10,2,8,11,11,1,6,12,1,1,6,6,12,8,3,1,3,10,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,2,1,2,3,3,3,9,2,0,6,10,5,6,5,3,9,0,0,10,2,2,4,0,6,8,12,6,4,4,7,11,8,9,2,1,4,9,4,6,0,2,8,12,5,10,2,2,9,4,6,10,2,0,1,6,3,9,10,11,12,8,1,12,2,
3,2,12,8,3,5,10,11,1,1,9,2,9,6,3,7,4,2,1,10,11,5,12,7,1,7,3,5,1,3,4,8,9,0,10,2,1,0,4,4,6,12,2,6,11,3,12,4,4,1,8,7,10,11,11,11,6,4,9,10,8,4,4,11,7,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
10,10,12,4,5,0,11,9,12,7,7,8,2,0,0,6,0,11,9,1,11,2,3,2,4,12,7,1,10,5,5,12,1,3,8,10,0,1,5,8,0,10,3,0,8,9,3,11,11,11,11,11,6,0,6,5,1,2,9,7,0,1,2,3,6,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
6,1,3,9,6,7,12,5,12,2,11,12,8,8,11,5,12,0,7,4,6,10,8,4,4,9,0,3,2,6,8,6,3,3,7,6,0,9,12,9,10,12,4,9,10,7,4,11,3,4,8,0,9,0,12,8,3,6,2,8,1,11,6,0,4,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
7,5,2,12,1,7,4,6,8,3,6,6,1,11,2,10,8,12,2,6,3,2,12,9,6,12,12,2,12,3,2,9,5,9,7,2,3,8,8,5,10,4,12,5,7,3,7,11,12,3,11,1,8,5,2,10,1,3,6,0,8,5,9,2,9,
6,1,10,1,10,6,5,2,8,4,8,5,6,6,2,12,9,8,9,7,7,1,7,6,9,8,2,2,10,6,8,1,1,5,10,5,1,1,0,3,6,3,4,12,0,8,1,12,2,4,8,0,3,12,10,8,12,2,7,8,5,0,7,5,8,
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2,4,4,7,12,6,3,2,3,3,5,8,5,10,2,11,2,10,7,4,0,4,5,8,7,1,3,0,7,12,7,8,2,1,9,10,2,11,5,9,8,3,7,2,9,9,12,8,0,6,9,4,3,1,6,4,10,7,7,2,8,2,1,8,1]);

y:=CambridgeMatrix(3,F,65,\[
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9,4,9,3,10,3,10,9,0,3,11,7,8,7,9,5,12,1,1,11,1,5,12,12,0,3,9,8,3,11,12,11,10,2,1,7,9,0,2,3,8,4,7,11,2,5,6,6,7,2,5,6,6,6,1,7,11,10,4,2,8,4,6,6,8,
7,9,12,7,0,6,3,1,10,0,0,8,0,3,0,6,5,12,1,5,1,12,9,3,9,10,3,10,3,11,12,1,11,3,8,8,9,1,5,4,11,0,7,11,6,7,4,11,6,10,12,9,8,5,9,0,0,5,2,4,1,11,5,7,6,
7,0,5,3,3,4,2,5,1,4,9,7,5,4,10,2,10,6,12,8,4,4,1,8,5,4,10,7,0,11,6,12,0,6,8,7,12,9,2,0,7,2,6,12,10,11,7,7,9,6,1,12,11,1,5,8,9,5,12,7,2,7,10,7,12,
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9,3,5,5,3,5,11,7,5,7,6,7,0,9,0,1,9,2,0,8,11,1,5,12,12,11,1,4,1,9,2,11,4,2,8,1,11,1,0,6,4,5,5,11,4,6,3,9,7,10,7,4,4,11,6,12,2,5,2,12,12,8,10,11,2,
5,7,3,11,5,8,12,11,4,7,7,8,5,0,9,0,12,1,5,7,9,5,6,0,12,2,4,10,3,5,12,9,9,3,10,9,12,1,5,11,2,6,9,2,1,10,8,3,8,9,3,9,12,1,12,5,2,8,5,12,1,11,4,0,11,
9,9,8,1,11,5,3,10,11,8,3,12,12,0,10,0,11,11,4,10,12,9,12,2,9,5,3,7,10,3,7,5,4,5,1,0,8,5,10,9,5,11,4,3,11,4,7,8,1,6,10,0,4,2,11,9,11,2,2,4,5,1,10,10,2,
4,12,12,7,4,4,0,11,9,7,6,9,4,6,7,2,0,11,4,4,5,8,6,0,1,9,11,9,0,10,12,1,8,5,11,2,10,0,5,8,6,11,6,5,10,10,2,5,1,12,9,12,12,8,0,6,4,5,4,9,11,9,6,0,7,
5,3,8,1,4,0,5,9,11,8,12,7,7,6,5,0,7,8,9,10,3,7,1,7,0,10,4,7,12,8,3,11,4,9,7,7,9,2,5,5,12,5,5,1,5,2,7,0,7,3,7,0,12,4,12,7,2,0,11,0,4,10,1,0,5,
12,7,5,2,9,8,12,1,5,1,11,9,8,10,0,4,4,3,12,10,9,2,0,6,9,12,9,10,9,9,7,2,11,7,8,12,9,3,4,5,8,11,10,4,6,8,4,7,6,9,12,3,2,10,9,2,5,9,6,5,2,10,3,11,2,
7,3,10,12,10,6,10,2,9,12,11,1,11,1,6,3,1,12,5,10,6,3,4,2,1,10,4,0,8,10,1,1,11,8,9,7,8,6,10,5,10,8,2,2,2,1,3,10,8,5,10,2,7,10,4,3,10,12,3,2,8,9,5,10,3,
9,9,12,8,7,7,4,10,6,12,12,3,1,6,3,9,6,1,6,3,4,0,0,4,8,8,9,8,11,10,5,7,1,3,1,9,0,4,12,2,7,9,10,0,7,5,11,4,9,9,5,1,0,10,7,1,2,4,7,5,1,12,0,8,3,
7,11,9,3,11,9,5,8,7,1,7,2,4,9,12,2,6,9,1,2,11,10,6,5,9,2,2,10,8,3,3,5,4,10,10,11,1,6,7,6,9,7,0,4,3,11,10,7,9,6,4,2,12,10,0,0,9,1,3,7,7,8,3,5,7,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
4,9,1,6,5,5,0,10,12,4,7,1,4,7,6,12,7,6,11,9,4,0,2,6,8,3,6,7,4,12,9,2,11,11,3,11,6,2,9,6,7,10,11,1,5,11,11,0,12,1,0,12,2,2,6,10,5,9,4,5,11,5,9,10,5,
3,1,8,0,5,1,8,0,2,6,9,6,11,8,2,3,7,10,4,6,3,1,11,4,10,0,8,11,1,3,7,8,10,12,4,9,10,0,2,6,10,11,10,4,5,4,1,12,2,2,3,3,11,4,1,12,12,9,7,8,1,8,4,2,0,
2,4,6,7,4,9,1,5,3,0,7,10,3,9,6,7,6,2,1,4,10,0,7,3,5,8,2,2,12,5,9,8,4,1,1,9,1,3,8,7,2,0,3,7,10,1,1,4,11,8,6,9,8,4,10,2,10,8,1,10,3,6,4,7,0,
6,5,12,2,1,6,0,8,4,3,0,1,3,5,0,0,4,4,11,4,11,8,0,6,9,10,11,5,12,12,11,12,8,4,9,0,7,3,7,6,9,8,5,12,1,7,6,8,4,5,7,5,8,8,3,0,9,7,9,6,0,1,1,9,6,
8,10,3,8,4,10,6,1,11,10,4,10,6,0,5,9,2,6,9,4,5,2,2,6,11,4,4,4,5,5,10,5,8,6,10,3,3,7,9,5,2,7,1,6,3,1,0,9,3,11,8,2,10,8,3,8,12,2,1,12,2,8,6,8,10]);

G<x,y>:=MatrixGroup<65,F|x,y>;
print "Group G is U3(4):4 < GL(65,GF(13))";