Construct the Riemann surface of the function $f(z)=((z-1)(z-2)(z-3))^{2/3}$.

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Construct the Riemann surface of the function $f(z)=((z-1)(z-2)(z-3))^{2/3}$.

1,2 and 3 are branch points. But how can we determine $\infty$ is also a branch point. And how can we determine branch cuts? Thanks.