The holomorphic differentials of $w^2=-t(t^m+1)(\alpha t^m+\bar\alpha)$ are spanned by $t^i\,dt/w$, $0\le i<m$

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The holomorphic differentials of $w^2=-t(t^m+1)(\alpha t^m+\bar\alpha)$ are spanned by $t^i\,dt/w$, $0\le i<m$ · Prove2Me