What is the motivic cohomology $H^{p,q}(\mathbf{P}^n,\mathbf{Z})$ of projective space? By the projective bundle formula, one has

$H^{p,q}(\mathbf{P}^n,\mathbf{Z})$ = $\oplus_{i=0}^n\mathrm{Hom}_\mathbf{DM}(\mathbf{Z}(i)[2i],\mathbf{Z}(q)[p])$

= $\oplus_{i=0}^n\mathrm{Hom}_\mathbf{DM}(\mathbf{Z}, \mathbf{Z}(q-i)[p-2i])$

Is this equal to $\mathbf{Z}$ for (p,q) = (i,2i), $i=0, \ldots, n$ and $0$ else?