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)