Can someone identify the knot whose complement in $\mathbb{S}^{3}$ will produce the HantzscheWendt manifold?
Thanks
Can someone identify the knot whose complement in $\mathbb{S}^{3}$ will produce the HantzscheWendt manifold? Thanks 


Supposing the question is, "Can the HantscheWendt manifold be realized as a cyclic branched cover of a knot in the 3sphere", then the answer is yes: it is a 3fold cyclic branched cover along the figureeight knot. Incidentally, it is also a 2fold branched cover along the Borromean rings. On the other hand, if the question is, "Can the HantscheWendt manifold $M$ be realized by performing Dehn surgery along a knot in the 3sphere" (as Misha seems to suggest), then the answer is no, since $H_1(M,\mathbb{Z})=\mathbb{Z}_2 \oplus \mathbb{Z}_2$ is not a cyclic group. 


Much enlightenment (though not an explicit answer to the question) can be gleaned from Bruno Zimmermann's paper "On the HantzscheWendt manifold". 

