About NumberFields@home
NumberFields@home is a research project that uses Internet-connected
computers to do research in number theory. You can participate by
downloading and running a free program on your computer.
NumberFields@home searches for fields with special properties.
The primary application of this research is in the realm of algebraic
number theory. Number theorists can mine the data for interesting
patterns to help them formulate conjectures about number fields.
Ultimately, this research will lead to a deeper understanding of the
properties of numbers, the basic building blocks of all mathematics.
A more detailed description of the project can be found
here.
NumberFields@home is based at the
school of mathematics
at Arizona State University.
The final results of this project will be complete tables of
number fields. The results are given in
table form
or as a
searchable database.
Minimum System Requirements:
- Intel/Amd processor.
- At least 128MB of ram free.
- 32MB of free disk space.
- Windows, Linux or Mac (x86) OS.
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[AF>France>IDF>Paris]Kasur
I'm from south of Paris.Born in 1980.I like Cosmos,Health and Justice.I crunch with l'Alliance Francophone since 2011,After used S@H in '01.I use a... |
News
implementing SSL on the server
I enabled SSL on the server, but it seems most browsers don't like the current certificate, so we are still working on getting that resolved.
As a result, you may experience issues trying to access your account. In my case, I got an obnoxious warning, but was able to proceed to the accounts page. It seems that the site still has full functionality; but please let me know if this is not the case.
Thanks!
20 Aug 2016, 0:52:22 UTC
· Comment
Status Report
The boards have been silent for several weeks now so I thought a status report might be in order.
This has been a productive year so far. First, the bounded discriminant app completed it's search several months ago. Then, about a month ago, the search over Q(√421) miraculously uncovered a special field that was only hypothesized to exist - this field alluded us for many months but in the end we found it.
We have since returned to the decic search over {2,5}. It is currently on the last tier of data set 11 (of 16). The ETA on this set is about 160 days. As we wait for this batch to complete, we will periodically pick some of the low hanging fruit that is left on a couple of the other data sets. See the batch status page for details of the remaining batches.
8 Aug 2016, 1:08:01 UTC
· Comment
Bounded App Final Tally of Results
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
20 May 2016, 21:13:30 UTC
· Comment
The final subfield is almost complete
You may have noticed the bounded app has run dry on work. That is because the last of the WUs have been sent out. We are now just waiting for them to be returned. In a few weeks, after all the results have been returned and processed, I will post the final tally of results.
In the meantime, the regular decics app still has plenty of work, so I hope you all stick around!
14 Apr 2016, 15:09:52 UTC
· Comment
Subfield 48 of 49 complete.
The subfield with discriminant 8, otherwise know as Q(√2), is now officially complete.
The bounded app has moved on to the final subfield: Q(√5).
14 Mar 2016, 5:55:29 UTC
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