/*
www-ATLAS of Group Representations.
2.L2(31) represented as 2 x 2 matrices over GF(31).
*/

F:=GF(31);

x:=CambridgeMatrix(3,F,2,\[
0,30,
1,0]);

y:=CambridgeMatrix(3,F,2,\[
0,1,
30,30]);

G<x,y>:=MatrixGroup<2,F|x,y>;
print "Group G is 2.L2(31) < GL(2,GF(31))";