, we can see that the above expression is equal to $$\begin{gathered}         \sum_{\omega}         {             B_{\pmb{J}}(\omega)              \prod_{\alpha=0}^{k(\omega,G)}             0             \cosh\left(\pmb{h}(K_\alpha) \right)             \over              \mathscr{Z}^{\mathrm{{RC}}}_{\pmb{p},\pmb{h},G}     