Computing and Understanding Representation Varieties Efficiently

Data for SnapPy manifolds


Browsable database

Individual magma files

Tar archives

Our data contains the primary decompositions of the Ptolemy varieties as well as the volume of each representation (see notes and caveats for more). The manifolds for which we have complete data include:
  • PGL(2,C)
    • OrientableCuspedCensus: all manifolds up to 9 simplices
    • LinkExteriors: all manifolds up to 16 simplices
    • HTLinkExteriors: all manifolds up to 13 simplices but L14n31302
  • PGL(3,C)
    • OrientableCuspedCensus: all manifolds up to 3 simplices and selected manifolds with 4
  • PGL(4,C)
    • m004