1})$         only with $V_{\rho}$ and $V'_{\rho}$
                                                           $(+4/3,{\bf 6})$          $(+2/3,\overline{\bf 6})$          $(-2,{\bf 1})$         
   4    $(\bar{u} \bar{u}) (\bar{e} d) (\bar{e} d)$   $ (+4/3, \overline{\bf 3})$   $ (-2/3, \overline{\bf 3})$   $ (-2/3, \overline{\bf 3})$  only with $V_{\rho}$
                                                          $ (+4/3, {\bf 6})$        $ (-2/3, \overline{\bf 3})$   $ (-2/3, \overline{\bf 3})$  
   5    $(\bar{u} \bar{e}) (\bar{u} \bar{e}) (d d)$        $ (-1/3,{\bf 3})$             $ (-1/3,{\bf 3})$            $ (+2/3, {\bf 3})$       only with $V''_{\rho}$
                                                           $ (-1/3,{\bf 3})$             $ (-1/3,{\bf 3})$        $ (+2/3, \overline{\bf 6})$  [@Gu:2011ak; @Kohda:2012sr]
  ---- --------------------------------------------- ----------------------------- ----------------------------- ----------------------------- -----------------------------------------------------

  : *\[Tab:TopoII\] Decomposition of topology II. As in Tab \[Tab:TopoI\], we do only give electric and colour charges of the internal bosons here. The mediators can be either scalars ($S$, $S'$, $S''$) or vectors ($V_\rho$, $V_\rho'$, $V_\rho''$). All listed possibilities give short-range contributions.*

There are a total of five (again times two due to colour) possibilities to assign the outer fermions to T-II. These are listed together with the electric and colour charges of the possible mediators in Tab. \[Tab:TopoII\]. As before, this table is valid for both V and S intermediate states and we do not specify the chiralities of the outer fermions here. In the appendix, we give a table for the operator decompositions 