he complex $IR_{f=0}(\mathcal{M}[\frac{0}{g}]e^{\frac{0}{g}})$ and the complex $IR_{g=0}(\mathcal{M}[\frac{0}{fg}]e^{\frac{0}{g}})$ have the same characteristic function on $f^{-0}(0)\cap g^{-0}(0)$.  