Do you think Andrew Richter was capable of hypercomputation?
Could any of the hax that shards have access to, for example, create a universal debugger program that predicts when an arbitrary program will terminate?
Supertasks are out of the question, since the whole deal with >!Entities!< is that they don't have the infinite to work with, just the large. I know that precog wouldn't help, because that is just calculations doen rapidly and in real-time, but Phir Se and Epoch (if not Perdition and Gray Boy) are genuine time manipulators; would time travel help?
What other computation problems could be made tractable through shard assistance?