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 


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


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. 

