censuslookup — Search for triangulations in Regina's census databases


censuslookup {isosig...}


This utility searches for the given 3-manifold triangulations in the various census databases that are shipped withRegina.

You should present the trianguations using their isomorphism signatures. These are short text strings that identify the triangulation uniquely up to combinatorial isomorphism (i.e., up to relabellings of the tetrahedra and/or their vertices).

From the graphical user interface, you can view the isomorphism signature of a triangulation by switching to the Composition tab in the triangulation viewer. From Python you can fetch the isomorphism signature of the triangulation x by calling x.isoSig(). For a full and precise specification of isomorphism signatures, see Simplification paths in the Pachner graphs of closed orientable 3-manifold triangulations, Burton, 2011, arXiv:1110.6080.

All database matches (if any) will be written to standard output.


    example$ censuslookup fvPQcdecedekrsnrs dLQbcccajqs cPcbbbiht
    fvPQcdecedekrsnrs: 1 hit
        SFS [S2: (2,1) (3,1) (5,-4)] : #1 -- Closed census (orientable)

    dLQbcccajqs: 0 hits

    cPcbbbiht: 2 hits
        m004 : #1 -- Cusped hyperbolic census (orientable)
        L104001 -- Hyperbolic knot and link complements


MacOS Users

If you downloaded a drag-and-drop app bundle, this utility is shipped inside it. If you dragged Regina to the main Applications folder, you can run it as /Applications/

Windows Users

The command-line utilities are installed beneath the Program Files directory; on some machines this directory is called Program Files (x86). You can start this utility by running c:\Program Files\Regina\Regina 5.1\bin\censuslookup.exe.

See Also

regina-gui. trisetcmp,


This utility was written by Benjamin Burton . Many people have been involved in the development of Regina; see the acknowledgements page for a full list of credits.