Another Moebius Strip (cf. Meeks-Weber)

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$m=5$

Weierstrass Data (Double Cover of the Surface)

\[ M=\mathbb{C}\setminus\{0\},\] \[ g=z^2\frac{z^{2m-1}+1}{z^{2m-1}-1},\qquad \eta = i\frac{(z^{2m-1}-1)^2}{z^{2m+2}}dz, \] where $m$ is a positive integer.