/*
M22 as 10 x 10 matrices over GF(2).
Representation 10b, the `cocode' representation.
Group has orbits 22 + 231 + 770 on nonzero vectors of the module.
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,10,[
"0100000000",
"1000000000",
"0001000000",
"0010000000",
"0000001000",
"0000000100",
"0000100000",
"0000010000",
"0011101010",
"0000101001"]);

y:=CambridgeMatrix(1,F,10,[
"0010000000",
"0110000000",
"0000100000",
"0000010000",
"1010100000",
"0000000010",
"0000000001",
"0011111101",
"0011101001",
"1011010001"]);

G<x,y>:=MatrixGroup<10,F|x,y>;
a:=x;b:=y;