Tables associated to SnapPea
Here's some stuff that I know about the census manifolds that come
with SnapPea. Let me know if you have any
questions or comments.
- Here's a list of which cusped
census manifolds with fiber over the circle. The vast majority of
the census manifolds fiber (85%). See the list itself for the details
of the computation. This replaces an earlier list that was
truncated at about v1800, and which missed some fibered manifolds.
- Lists of cyclic surgeries
and more generally finite
surgeries. These lists is not known to be complete but are
probably close to it.
- For a few of the census manifolds, I managed to compute the
A-polynomial, which is an invariant of the SL(2, C)
representation variety. Here's the list.
Please note: These computations where carried out over the
finite field of order 31991, not the rational numbers. So the
answers may not be quite right. In particular, there are some
zero-dimensional components which are meaningless. Also, the
way I extracted the data from my files doesn't always list all
the data when the variety had zero dimensional components. If
there are any of the polys you'd like me to double check
rigorously, drop me a line.
- See also the data
about congruence covers of twist-knot orbifolds.