A census of tetrahedral hyperbolic manifolds [article]

Evgeny Fominykh, Stavros Garoufalidis, Matthias Goerner, Vladimir Tarkaev, Andrei Vesnin
2015 arXiv   pre-print
We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Following an earlier publication by three of the authors, we give a census of all tetrahedral manifolds and all of their combinatorial tetrahedral tessellations with at most 25 (orientable case) and 21 (non-orientable case) tetrahedra. Our isometry classification uses certified canonical cell decompositions (based on work by Dunfield, Hoffman, Licata) and isomorphism signatures (an
more » ... nt of dehydration sequences by Burton). The tetrahedral census comes in Regina as well as SnapPy format, and we illustrate its features.
arXiv:1502.00383v2 fatcat:5xqu4x65t5d7jelcm3gh2altju