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Number crunching :
Ubout the uncalculated 6th field
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![]() Send message Joined: 1 Jan 20 Posts: 12 Credit: 4,393,625 RAC: 1 ![]() |
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? |
![]() Send message Joined: 8 Jul 11 Posts: 1388 Credit: 692,725,117 RAC: 828,490 ![]() ![]() ![]() |
General question about the problem of calculating Galois fields. More precisely about the uncalculated 6th field. 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. |
![]() Send message Joined: 1 Jan 20 Posts: 12 Credit: 4,393,625 RAC: 1 ![]() |
Thank you. |