A Census of Tetrahedral Hyperbolic Manifolds

@article{Fominykh2016ACO,
  title={A Census of Tetrahedral Hyperbolic Manifolds},
  author={Evgeny Fominykh and Stavros Garoufalidis and Matthias G{\"o}rner and Vladimir Tarkaev and Andrei Vesnin},
  journal={Experimental Mathematics},
  year={2016},
  volume={25},
  pages={466 - 481}
}
ABSTRACT 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, and Licata) and isomorphism signatures… 
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