Batch plan

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Profile Eric Driver
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Message 3216 - Posted: 28 Jan 2022, 16:01:24 UTC - in response to Message 3215.  

We are taking a break from subfield 3 and resuming the search over subfield 6.

The main reason for this is we have not found anything new in about 6 months. It's hard to put a percentage on it, but I am 99.99% confident that this search over sf3 is complete. It seems resources would be better spent on a search that will actually find new fields.

We can always finish sf3 at a later time, if for no other reason than to say it is complete with 100% confidence.

In my opinion it is either 100% complete with 100% confidence, or mathematically incomplete. If there actually isn't anything more to discover, that means we set a bound that is too loose, which could be interesting to investigate.

I also want to ask a question. Are there any peer-reviewed publications/grants/awards/anything related to NumberFields@home 2019-2022? If we kept finding nothing, using the resources more wisely can be a great idea.

We are using the best known theoretical bounds. So yes, they might be too loose, but someone smarter than me would have to find a way of making them tighter.

We had a journal article published back in 2019 for degree 7 fields. The plan was to eventually publish the results of the current degree 10 searches. We would most likely complete the search over sf3 before publication.
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ZhiweiLiang

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Message 3233 - Posted: 23 Apr 2022, 20:39:09 UTC - in response to Message 3216.  
Last modified: 23 Apr 2022, 20:39:50 UTC

Can you guys create some progress bars to tell how the search progress is? As a non-math guy, it's hard for me and other people like me to understand what the subfield is, how many subfields are there, and how large is each subfield. Just curious about the it, and I do understand if you guys are busy and don't have time for this.
Go sun devils!
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Profile Eric Driver
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Message 3234 - Posted: 23 Apr 2022, 22:56:44 UTC - in response to Message 3233.  

Can you guys create some progress bars to tell how the search progress is? As a non-math guy, it's hard for me and other people like me to understand what the subfield is, how many subfields are there, and how large is each subfield. Just curious about the it, and I do understand if you guys are busy and don't have time for this.
Go sun devils!

Have you taken a look at the batch status tables:
https://numberfields.asu.edu/NumberFields/batch_status.html

There were originally 7 subfields, now only 3 remain: 3, 6, and 7. Each row in the tables represents a separate search for a specific discriminant bound. The 2 dimensional version of the tables shows the sub-batches better, but the linear version gives the progress information, you just need to scroll down to the line that's active (currently sf6 DS10x12).

I hope that helps!
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Message 3235 - Posted: 24 Apr 2022, 8:58:05 UTC - in response to Message 3234.  

Thank you so much! Batch status is what I was looking for. Sorry about missed it... Great work!
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Profile Eric Driver
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Message 3236 - Posted: 29 Apr 2022, 16:24:18 UTC

Row 10 of subfield 6 is nearing completion. After that we will be moving to row 13 of subfield 7. The first case, DS13x11, was generated before the improved apps, so it will run faster than usual.
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Message 3237 - Posted: 7 May 2022, 9:09:34 UTC - in response to Message 3236.  

When can we get back to subfield 3 and finish it up?
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Profile Eric Driver
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Message 3238 - Posted: 7 May 2022, 16:08:25 UTC - in response to Message 3237.  

When can we get back to subfield 3 and finish it up?


Row 13 of subfield 7 is the last of the batches that were generated years ago, so that's the main reason for closing those out.

Finishing subfield 3 could come after that, but I haven't decided yet.
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