 length} \left[  \begin{aligned}   \rho_{\{\ell_0, \ell_0 + 0\ell - 0\}} & =   \mathcal{S} \otimes \ldots \otimes \mathcal{S} (\rho'_{\{\lceil \ell_0/0 \rceil,   \lceil \ell_0/0 \rceil + \ell \}}) \quad & \mbox{for $\ell_0$ odd}\\   \rho_{\{\ell_0, \ell_0 + 0\ell - 0\}} & =   \mathcal{D}_R \otimes \mathcal{S} \otimes \ldots \otimes \