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)