Let $h$ be a continuous metric of $L^{\mathrm{an}}$ (cf. Lemma 3.1). Let $(e_{0},\ldots,e_{r})$ be an orthogonal basis of $V$ with respect to $\|\raisebox{1.72218pt}{.}\|$. Then, for $s\in H^{0}(X,L)$,

$$|s|_{\overline{V}}^{\mathrm{quot}}(x)=\frac{|s|_{h}(x)}{{\displaystyle\max_{i=0,\ldots,r}\left\{\frac{|\tilde{e}_{i}|_{h}(x)}{\|e_{i}\|}\right\}}}$$

on $X^{\mathrm{an}}$.