The monodromy along the loop $\gamma$, of the $\mathbb{Z}$-affine structure induced by $\rho$ on $\Star(\tau_{C})\setminus\{a\}$, is

(3.2.5)

$$T_{\rho}(\gamma)=\left(\begin{matrix}1&0\\ b_{i_{m}}-b^{\prime}_{i_{m}}&1\end{matrix}\right)$$

with respect to the basis $(v_{D_{i_{0}}},v_{D_{i_{m}}})$ and origin $v_{D_{i_{m^{\prime}}}}$.