The two standard answers to this question are Snappy and Regina. If you have a famous manifold, then it will likely be in one of the many censuses that come with the programs. If you have a less-than-famous manifold, then find a surgery description and feed it to Snappy that way.

The two standard answers to this question are Snappy and Regina. If you have a famous manifold, then it will likely be in one of the many censuses that come with the programs. If you have a less-than-famous manifold, then find a surgery description of it and feed that to Snappy.