We check $A_{1,1}(0,1)=A_{1,1}(1,0)={3}/{4}$. Let $b\geq 0$ and let ${\overline{{\mathcal{O}}_{\mathbb{F}_{b}}(1)}}$ the adelic line bundle on $\mathbb{F}_{b}$ associated to $a_{0}=1$ and $a_{1}=b+1$. Putting $n=r=1$, $a_{0}=1$ and $a_{1}=b+1$ in Proposition 8.26, we recover the expression for the height of Hirzebruch surfaces established in [Mou06]: $\operatorname{h}_{{\overline{{\mathcal{O}}_{\mathbb{F}_{b}}(1)}}}(\mathbb{F}_{b})=\frac{1}{2}b^{2}+\frac{9}{4}b+3$.