/*
www-ATLAS of Group Representations.
L2(29) represented as 9 x 9 matrices over GF(29).
*/

F:=GF(29);

x:=CambridgeMatrix(3,F,9,\[
0,1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,
0,0,0,0,1,0,0,0,0,
19,10,17,12,11,18,1,0,0,
0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,1,0]);

y:=CambridgeMatrix(3,F,9,\[
3,28,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,
26,20,26,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,1,0,
0,0,0,1,0,0,0,0,0,
21,24,28,16,17,7,6,27,12,
27,5,0,7,16,23,2,16,2]);

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is L2(29) < GL(9,GF(29))";