Census data from the classification of closed orientable irreducible 3-manifolds of complexity at most 9 and of small hyperbolic 3-manifolds with geodesic boundary.

Carlo Petronio, Bruno Martelli, Roberto Frigerio

Two downloadable censuses: the Martelli-Petronio classification of closed, orientable, irreducible 3-manifolds of Matveev complexity at most 9, with a description of the geometry of each manifold and the computer program generating the list, and the Frigerio-Martelli-Petronio classification of orientable finite-volume hyperbolic 3-manifolds with non-empty compact totally geodesic boundary triangulated by 3 or 4 but no fewer tetrahedra, given in SnapPea format with geometric invariants.

References

  • B. Martelli, C. Petronio, Three-manifolds having complexity at most 9, Experimental Math. 10 (2001), 207-237
  • R. Frigerio, B. Martelli, C. Petronio, Small hyperbolic 3-manifolds with geodesic boundary, Experiment. Math. 13 (2004), 171-184