I am pleased to report that the search over ℚ(√2), also known affectionately as "subfield 3", is now officially 100% complete.

This search has been in the works, off and on, for several years. It goes without saying that this is a major computational achievement. We couldn't have done it without all the volunteers, so I thank you all!

The batch status tables have been updated accordingly with subfield 3 moved to the archives. The results of the search can be found here.

More...