Effects of the equation of state in the retrieval of the temperature. Left panel: spatially and temporally averaged T(log τ_c) obtained after inversion cycle 1 employing (blue) inversion under LTE; (red) inversion employing NLTE atomic level departure coefficients and LTE equation of state in FIRTEZ; (green) inversion employing NLTE atomic level departure coefficients and NLTE equation of state in FIRTEZ. Right panel: departure coefficient for electron density β_e(log τ_c) used in FIRTEZ equation of state in the third case presented in the left panel.