sigcensus

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 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 5.1\bin\sigcensus.exe.

SEE ALSO
       censuslookup, tricensus, tricensus-mpi, regina-gui.

AUTHOR
       This utility was written by Benjamin Burton <bab@maths.uq.edu.au>.
       Many people have been involved in the development of Regina; see the
       users' handbook for a full list of credits.



                               14 December 2016                   SIGCENSUS(1)