Ubout the uncalculated 6th field

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Message 3883 - Posted: 27 Jun 2025, 11:34:30 UTC

General question about the problem of calculating Galois fields. More precisely about the uncalculated 6th field.

And the scientific, practical result will be obtained only if the entire problem is calculated?

And those parts of the problem that have already been calculated, such as DS15x10 DS14x11 DS14x7 and all the others already calculated, see the table: https://numberfields.asu.edu/NumberFields/batch_status.html

Do they have any scientific/practical result / value in themselves or, until the problem is completed entirely, then no?
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Message 3884 - Posted: 27 Jun 2025, 15:39:51 UTC - in response to Message 3883.  

General question about the problem of calculating Galois fields. More precisely about the uncalculated 6th field.

And the scientific, practical result will be obtained only if the entire problem is calculated?

And those parts of the problem that have already been calculated, such as DS15x10 DS14x11 DS14x7 and all the others already calculated, see the table: https://numberfields.asu.edu/NumberFields/batch_status.html

Do they have any scientific/practical result / value in themselves or, until the problem is completed entirely, then no?


The finished sub-cases allow us to talk about completeness at a finer resolution. For example, once sf6_DS15x11 is complete, we will be able to say that we have found all decic fields having ℚ(√10) as a subfield and with a specific discriminant bound (for DS15x11, the power of 2 in the discriminant is bounded by 2^33 and the power of 5 is bounded by 5^18). Note that the maximum bound possible is (2^34)*(5^19) and this corresponds to the DS16x12 case.
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Message 3885 - Posted: 27 Jun 2025, 20:26:44 UTC - in response to Message 3884.  

Thank you.
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Message boards : Number crunching : Ubout the uncalculated 6th field


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