\(\phi((0,1,0)^T=1/2\phi(2(0,1,0)^T)=1/2\phi((0,2,0)^T)=1/2(0,4,0)^T=(0,2,0)^T\),
\(\phi((0,0,1)^T)=1/3\phi((0,0,3)^T)=1/3(0,3,0)^T=(0,0,1)^T\)
Also \(\phi((2,2,2)^T)=\phi((2(1,0,0)^T+2(0,1,0)^T+2(0,0,1)^T)=\)
\(=2\phi((1,0,0)^T)+2\phi((0,1,0)^T)+2\phi((0,0,1)^T)=\)
\(=2(0,0,0)^T+2(0,2,0)^T+2(0,0,1)^T=(0,4,2)^T\)