/*
www-ATLAS of Group Representations.
L3(4):2a represented as 16 x 16 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"1000000000000000",
"0001000000000000",
"0010000000000000",
"0000001000000000",
"0000000100000000",
"0000100000000000",
"0000010000000000",
"0000000000010000",
"0000000000001000",
"0000000000000100",
"0000000010000000",
"0000000001000000",
"0000000000100000",
"0000000000000001",
"0000000000000010"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"0110000000000000",
"0000100000000000",
"0000010000000000",
"1010100000000000",
"0000000010000000",
"0000000001000000",
"0000000000100000",
"1001110010000000",
"1110101000101000",
"0000000000000010",
"1010001111110110",
"1011100010101010",
"1001001101001100",
"1001000001000111",
"1100110000100011"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is L3(4):2a < GL(16,GF(2))";