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 4.96\bin\sigcensus.exe.

SEE ALSO

       censuslookup, 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.

                                          23 August 2014                             SIGCENSUS(1)