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Jan 18, 2017 at 23:55 answer added Ian Agol timeline score: 9
Jan 18, 2017 at 23:36 comment added Ian Agol There are no covers of index $<5$, since the homology is $Z/5^3$ (hence any homomorphism to $S_4$ will be trivial).
Jan 18, 2017 at 23:14 comment added Ryan Budney It's not clear to me immediately if there are any smaller covers than Hempel's 5-sheeted one. But in principle you could turn this into a fairly simple algorithmic problem by iterating over the covering spaces and applying Reidemeister-Schrier to the corresponding subgroups.
Jan 18, 2017 at 21:33 vote accept user
Jan 18, 2017 at 21:29 answer added Igor Rivin timeline score: 8
Jan 18, 2017 at 19:55 review First posts
Jan 18, 2017 at 20:08
Jan 18, 2017 at 19:53 history asked user CC BY-SA 3.0