use of the following *A’Campo formula* for the monodromy eigenvalues in terms of a principalization $\varphi: \tilde X \rightarrow {\mathbb C}^{g+1}$ of the ideal ${\mathcal I}$ defining $Y$. Let $E_j$ for $j \in J$ be the irreducible components of $\varphi^{-1}(Y)$ and denote by $N_j$ and $\nu_j - 1$ the multiplicity of $E_j$ in the divisor of $\varphi^{\ast}{\mathcal I}$ and $\varphi^{\ast}(dx_1 \wedge \ldots \wedge dx_n)$, respectively. Let $\sigma: X' \rightarrow {\mathbb C}^{g+1}$ be the blow-up of ${\mathbb C}^{g+1}$ along $Y$ with exceptional divisor $E' := \sigma^{-1}(Y)$. By the universal property of the blow-up, there exists a unique morphism $\psi: \tilde X \rightarrow X'$ such that $\sigma \circ \psi = \varphi$. Then, from [@VV], a complex number is a monodromy eigenvalue associated with $Y$ if and only if it is a zero or pole of the *zeta function of monodromy* at a point $e \in E'$ given by $$\label{eq:ACampo-princ}
Z_{Y,e}^{mon} (t)= \prod_{j \in J}(1-t^{N_j})^{\chi(E^{\circ}_j \cap \psi^{-1}(e))},$$ where $\chi$ denotes the topological Euler characteristic and $E_j^\circ := E_j \backslash \cup_{i \neq j}(E_i\cap E_j)$ for every $j \in J$. This is a generalization of the original formula of A’Campo [@AC] expressing the monodromy eigenvalues of one polynomial $f \in {\mathbb C}[x_0,\ldots, x_g]$ in terms 