/*
www-ATLAS of Group Representations.
2.A10 represented as 16 x 16 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"2200000000000000",
"0001000000000000",
"0022000000000000",
"0000010000000000",
"0000220000000000",
"0000000100000000",
"0000002200000000",
"0000000001000000",
"0000000022000000",
"0000000000010000",
"0000000000220000",
"0000000000000100",
"0000000000002200",
"0000000000000001",
"0000000000000022"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"0000100000000000",
"2020000000000000",
"0000001000000000",
"0000000001220000",
"0000000000010000",
"0000000000002001",
"0000000000000010",
"0000000002000000",
"0000000020020000",
"0101000200000000",
"1010000100000000",
"0011110000001002",
"0000020000000020",
"2020010011000110",
"0011101000201000"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is 2.A10 < GL(16,GF(3))";