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Lett. \\textbf{117}, 156403 (2016)], we presented the first \\textit{ab initio} quantum Monte-Carlo (QMC) results of the warm dense electron gas in the thermodynamic limit. However, a complete parametrization of the exchange-correlation free energy with respect to density, temperature, and spin polarization remained out of reach due to the absence of (i) accurate QMC results below $\\theta=k_\\text{B}T/E_\\text{F}=0.5$ and (ii) of QMC results for spin polarizations different from the paramagnetic case. 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