/*
www-ATLAS of Group Representations.
L2(16) represented as 16 x 16 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"1000000000000000",
"0001000000000000",
"0010000000000000",
"0000010000000000",
"0000100000000000",
"0000000010000000",
"0000000001000000",
"0000001000000000",
"0000000100000000",
"0000000000000100",
"3223143020410100",
"0000000000000001",
"0000000000100000",
"4444224343302342",
"0000000000001000"]);

y:=CambridgeMatrix(1,F,16,[
"1000000000000000",
"0010000000000000",
"4440000000000000",
"0000100000000000",
"0000001000000000",
"0000000100000000",
"0001000000000000",
"0000000000100000",
"0000000000010000",
"0000000000001000",
"0000010000000000",
"0000000000000010",
"0200313241033431",
"4003402324443244",
"0000000010000000",
"4430020122213021"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is L2(16) < GL(16,GF(5))";