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This gives local parametrization of the representations $\\rho$ in $Hom(F_2, G)/G$ such that both $\\rho(x)$ and $\\rho(y)$ are hyperbolics, where $F_2=\\langle x, y\\rangle$, $G={\\rm Sp}(n,1)$ or ${\\rm SU}(n,1)$. 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