In the previous subsection, we have used the rm-MRF code to translate the exact exchange energy density into the 'exact' σλ (r). However, we note that rm-MRF can be used for translating any other energy density and at any λ (provided that is in the same gauge as MRF, that of Eq. 7)) to MRF's i-averaged sigma. We use now MRF to obtain the 'exact' σλ (r) from the (strongly interacting) w λ→∞ (r) energy densities (see the left panel of Fig. ).