SIGCENSUS(1) The Regina Handbook SIGCENSUS(1)
NAME
sigcensus - Form a census of splitting surface signatures
SYNOPSIS
sigcensus order
DESCRIPTION
Forms a census of all splitting surface signatures of the given order. The order is the number of quadrilaterals in the resulting split-
ting surface.
The signatures will be written to standard output, one per line, followed by a count of the total number of signatures found.
Each signature will be output precisely once up to equivalence. Signatures are considered equivalent if they are related by some combina-
tion of:
o relabelling symbols;
o rotating an individual cycle;
o inverting an individual cycle (i.e., reversing the cycle and changing the case of each symbol in the cycle);
o reversing all cycles without changing the case of any symbols.
Upper-case symbols in signatures are not yet supported; this program will only output signatures whose symbols are all lower-case.
For more information on splitting surface signatures, see Burton's PhD thesis at http://www.maths.uq.edu.au/~bab/papers/.
MACOS X 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/Regina.app/Contents/MacOS/sigcensus.
WINDOWS USERS
The command-line utilities are installed beneath the Program Files directory; on some machines this directory is called Pro-
gram Files (x86). You can start this utility by running c:Program FilesReginaRegina 4.93insigcensus.exe.
SEE ALSO
tricensus, tricensus-mpi, regina-gui.
AUTHOR
This utility was written by Benjamin Burton <bab@debian.org>. Many people have been involved in the development of Regina; see the users'
handbook for a full list of credits.
28 May 2012 SIGCENSUS(1)
