         {             \Theta^{\pmb{\hat{h}'}}_{V,\mathrm{ \#}}(\zeta^e)             \over              \Theta^{\pmb{\hat{h}'}}_{V,\mathrm{ \#}}(\zeta_{(e)})         }         \cdot         {             \Theta^{\pmb{\hat{h}}}_{V,\mathrm{ \#}}(\xi_{(e)})     