/*
www-ATLAS of Group Representations.
A9 represented as 21 x 21 matrices over GF(49).
*/

F<w>:=GF(49);

x:=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,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
16,20,41,37,27,36,7,3,29,34,45,20,47,16,11,19,6,37,16,37,9,
36,40,33,7,29,37,40,21,48,37,39,36,43,38,16,46,13,35,20,13,39,
41,3,9,36,10,17,21,35,20,16,31,27,23,20,16,44,26,42,20,32,39,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
23,12,17,30,25,5,21,12,40,16,36,36,28,45,26,45,16,20,46,30,47,
0,40,37,21,42,3,27,31,4,29,42,16,9,27,10,14,40,45,13,5,31,
1,9,24,23,48,12,22,5,25,12,5,14,36,6,41,42,20,47,48,20,13,
4,31,8,20,6,0,22,35,24,34,34,0,19,18,1,17,20,46,28,11,31,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]);

y:=CambridgeMatrix(3,F,21,\[
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,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,6,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
22,0,36,12,18,14,8,47,4,9,7,36,3,47,19,29,20,11,4,24,41,
37,43,46,24,45,21,38,17,9,1,2,36,37,44,32,40,15,28,28,33,24,
3,26,46,18,34,31,8,24,16,36,37,36,14,47,9,27,14,3,43,10,8,
16,19,47,5,6,34,11,8,2,2,41,22,20,22,13,30,17,7,30,45,10,
19,44,16,37,12,13,9,32,24,34,5,42,45,17,43,13,31,4,0,28,20,
2,8,47,5,19,3,41,26,37,9,31,1,15,41,6,27,41,14,7,5,15,
25,14,25,16,10,47,16,4,46,18,27,31,8,18,16,34,10,13,27,5,47,
33,17,15,4,24,31,32,40,4,32,31,24,2,28,10,0,23,44,19,19,28,
19,38,14,39,28,16,21,16,26,43,44,44,29,39,19,11,5,48,23,31,32,
45,30,21,39,46,44,25,30,2,12,6,25,38,25,4,14,13,4,36,15,38]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is A9 < GL(21,GF(49))";