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Typically you will not need to download any of these files separately. You can find them by:
On this page you can find some additional census data files that are too large to ship with Regina. You can also find the usual data files that are normally shipped, which may help users with stripped-down installations or older versions of Regina that did not include them.
Each data file includes a text packet containing a full description of the census as well as its origin and literary references where appropriate. Data from external sources (such as the hyperbolic census data shipped with SnapPea) have been converted into Regina data files.
| Census | Origin | Download | Size (kB) |
|---|---|---|---|
| Closed hyperbolic 3-manifolds (3000 orientable, 18 non-orientable) | Tabulated by Hodgson and Weeks, shipped with SnapPea 3.0d3 | closed-hyp-census.rga | 365 |
| Closed hyperbolic 3-manifolds (10986 orientable, 18 non-orientable; not shipped with Regina due to size constraints) | closed-hyp-census-large.rga | 1503 | |
| Closed orientable prime minimal triangulations (<= 9 tetrahedra) | Tabulated by Burton using Regina (see the notes below) | closed-or-census.rga | 137 |
| Closed orientable prime minimal triangulations (<= 10 tetrahedra) | closed-or-census-large.rga | 446 | |
| Closed orientable prime minimal triangulations (<= 11 tetrahedra; not shipped with Regina due to size constraints) | closed-or-census-11.rga | 1607 | |
| Closed non-orientable minimal P2-irreducible triangulations (<= 11 tetrahedra) | closed-nor-census.rga | 147 | |
| Cusped hyperbolic 3-manifolds (<= 7 tetrahedra) | Tabulated by Callahan, Hildebrand and Weeks, shipped with SnapPea 3.0d3 | snappea-census.rga | 214 |
| Knot complements (<= 11 crossings) and link complements (<= 10 crossings) | Tabulated by Christy, shipped with Snap 1.9 | knot-link-census.rga | 132 |
| Splitting surface signatures with enclosing closed 3-manifold triangulations (<= 7 tetrahedra) | Tabulated by Burton using Regina | sig-3mfd-census.rga | 58 |
| Splitting surface signatures with enclosing closed prime minimal 3-manifold triangulations (<= 8 tetrahedra) | sig-prime-min-census.rga | 3 | |
| All splitting surface signatures (order <= 8). These are plain text files containing signatures only. Note that only order <= 7 is shipped with Regina due to size constraints. Files for order >= 7 are bzipped; the bzip2 utility can be used to uncompress them. | 1.sig | 0.007 | |
| 2.sig | 0.03 | ||
| 3.sig | 0.2 | ||
| 4.sig | 1 | ||
| 5.sig | 8 | ||
| 6.sig | 86 | ||
| 7.sig.bz2 | 188 | ||
| 8.sig.bz2 | 2572 |
Where Regina's censuses overlap those of the authors listed above, the results agree completely.
The author's PhD thesis contains detailed descriptions of many of the topological structures, concepts and algorithms used in Regina. It can be downloaded in either of the following formats.