Thank you all for your contributions over the last few years to make the bounded discriminant search a success. Here is a summary of the final results...

The search found all imprimitive decic (degree 10) fields with absolute discriminant less than or equal to 1.2E11. The total compute time (summed over all hosts) was 531 years.

284,410 fields were found within this bound. Among those, the following minimum discriminant fields were of interest (listed by galois group and signature):
10T9 (2,4)
10T21 (6,2)
10T27 (0,5)
10T33 (2,4)
10T41 (2,4)
10T42 (2,4)
10T42 (6,2)
10T43 (6,2)
10T43 (8,1)
About half of these were discovered for the first time. The other half had already been discovered but it was not known until now that they were the minimum.

Although not worthy of a stand alone journal article, the search was an extension of the search discussed in this paper:
http://hobbes.la.asu.edu/papers/MinDiscDecics.pdf

The link to the pdf does not work for me.

"Firefox can't establish a connection to the server at hobbes.la.asu.edu."

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The link to the pdf does not work for me.

"Firefox can't establish a connection to the server at hobbes.la.asu.edu."

That's odd, it works for me. Anyone else having problems?

I put a copy on the project website, see if that works:
http://numberfields.asu.edu/NumberFields/MinDiscDecics.pdf

Yes. The original Hobbes link gave me, and is still giving,

This site can’t be reached

hobbes.la.asu.edu refused to connect.

ERR_CONNECTION_REFUSED

The use of the word "refused" implies something more specific than a simple failure.

The locally-hosted copy displays fine, though.

I must have been looking at a cached copy. After I clicked the reload button I got the same error as you. I will look into this.