The ptolemy module
The ptolemy module is part of the popular 3-manifold software
SnapPy and can be
used to find boundary-unipotent representations of a 3-manifold into
PGL(N,C) and compute invariants such as volume and Chern-Simons
invariant.
The Ptolemy varities can be computed using Magma or Sage
or retrieved automatically
from our precomputed database.
Data for SnapPy manifolds
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)
New: We also list the trace fields (of the geometric representation) of all OrientableCuspedCensus manifolds.
Documentation
Please report bugs to enischte at gmail dot com.
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