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 splitting
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 combination of:
- •
- relabelling symbols;
- •
- rotating an individual cycle;
- •
- inverting an individual cycle (i.e., reversing the cycle
and changing the case of each symbol in the cycle);
- •
- 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
Program Files (x86). You can start this utility by running
c:\Program Files\Regina\Regina 4.93\bin\sigcensus.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.