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Let $\Gamma$ be the compact Riemann surface defiend by the algebraic curve $$ f(x, y) = y^n + a_1(x)y^{n-1} + a_2(x) y^{n-2} + \dots + a_{n-1}(x)y + a_n(x) = 0, $$ where $a_1(x), \dots, a_n(x)$ are ...