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Jul 24, 2012 at 1:39 comment added Ryan Budney Ben informs me that compressed the census of all 11-tetrahedron (or less) 3-manifolds comes to about 140Gb. We'll see if we can distribute it via something like bittorrent.
Jul 23, 2012 at 3:45 comment added Aaron Trout @Ryan Budney: Thanks for pointing that out! I hadn't noticed the "minimal" adjective there and spoke too quickly. Perhaps I will contact Ben Burton about obtaining a copy of the complete census.
Jul 23, 2012 at 3:33 comment added Ryan Budney Yes , those are the minimal triangulations. So for example none of those triangulations support a Pachner a 4->1 move.
Jul 23, 2012 at 2:31 comment added Aaron Trout @Ryan Budney: Thanks! I am certainly interested. I'd heard about Regina but somehow hadn't realized people used it to create censuses. I believe I found what you're referring to at regina.sourceforge.net/data.html.
Jul 23, 2012 at 2:23 vote accept Aaron Trout
Jul 23, 2012 at 2:23 comment added Aaron Trout @Henry Segerman: Thanks! This helps give an idea for what to expect from larger triangulations.
Jul 23, 2012 at 0:56 comment added Ryan Budney If one was interested, Ben also has a census of all 3-manifold triangulations (not just 3-spheres) up to 11 tetrahedra. It's unfortunately too enormous for a server to distribute publically but I believe it's available. This is different from the 11 tetrahedron census in Regina which only contains one vertex triangulations.
Jul 22, 2012 at 19:29 history answered Henry Segerman CC BY-SA 3.0