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Under the assumption that the minimal Maslov number $N_L$ of $L$ is greater than 2, we define the Rabinowitz Floer homology of $\\mathcal{L}$. We then establish an isomorphism between the $\\mathbb{Z}_d$-equivariant Rabinowitz Floer homology of $\\mathcal{L}$ and the quantum homology of $L$, where $d$ is the degree of the covering map $\\mathcal{L}\\to L$. 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