Comments on Fano varieties with torsion in $H^3(X,\mathbb{Z})$ by J. C. Ottem and J. V. Rennemo

Ottem and Rennemo constructed a Fano 4-fold with torsion in $H_2(X,\mathbb{Z})$. We simplify the computation of $H_2(X,\mathbb{Z})$ and also exhibit 2 lines $L^{\mathrm{\prime }},L^{\mathrm{\prime }\mathrm{\prime }}\subset X$ such that $L^{\mathrm{\prime }}-L^{\mathrm{\prime }\mathrm{\prime }}$ generates the torsion.