Assume we have two polynomials $f_1$ and $f_2$ with Newton polytopes $A_1 , A_2 \in \mathbb{Z}^2$. Also suppose that coefficients of $f_1$ and $f_2$ are generic. Then we pick a unitary matrix $Q$ and act on $f_2$. How many common zeros $f_1$ and $Q \circ f_2$ have on $(\mathbb{C}^{*})^{2}$ ?
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