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