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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



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


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 4.96\bin\censuslookup.exe.

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