Results of first decic search posted.

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Profile Eric Driver
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Message 899 - Posted: 14 Aug 2013, 6:05:54 UTC

For the first time in history, I present to you the quintic extensions of Q(i) ramified over the set {2,5}. You can be one of the first people to ever lay eyes on these little beauties, all 566 of them. Here is your link:
http://hobbes.la.asu.edu/numberfields-old/driver/Decics52.html
(You want the 2nd table, 8th row. Links to the field data are on the right)
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Message 900 - Posted: 14 Aug 2013, 16:05:52 UTC - in response to Message 899.  

For the first time in history, I present to you the quintic extensions of Q(i) ramified over the set {2,5}. You can be one of the first people to ever lay eyes on these little beauties, all 566 of them. Here is your link:
http://hobbes.la.asu.edu/numberfields-old/driver/Decics52.html
(You want the 2nd table, 8th row. Links to the field data are on the right)


Wow, I think, thats an huge step of these project. Only an question, are we running the other prime sets, too? [(3,7);(3,11);(7,11)]
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Profile Eric Driver
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Message 901 - Posted: 14 Aug 2013, 17:41:21 UTC - in response to Message 900.  

For the first time in history, I present to you the quintic extensions of Q(i) ramified over the set {2,5}. You can be one of the first people to ever lay eyes on these little beauties, all 566 of them. Here is your link:
http://hobbes.la.asu.edu/numberfields-old/driver/Decics52.html
(You want the 2nd table, 8th row. Links to the field data are on the right)


Wow, I think, thats an huge step of these project. Only an question, are we running the other prime sets, too? [(3,7);(3,11);(7,11)]


The other sets that are listed in the table were done years ago, as part of my dissertation. They are inherently faster and were computed in a few weeks on a single computer. The reason {2,5} is so much harder is because of something called wild ramification; basically we are finding decic (degree 10) fields and 2 and 5 divide 10. Wild ramification leads to fields which have very large discriminants. The wildly ramified fields also have much more interesting properties.

The plan is to finish the searches for {2,5} over the 6 other quadratic subfields, then move on to {3,5}, and then to {2,3,5}. But we may visit the {2,p} and {5,p} cases prior to {2,3,5}.
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Message 902 - Posted: 14 Aug 2013, 18:01:50 UTC - in response to Message 901.  

Hi Eric,

thank you, for these informations. We had a lot to do, let us crunch. ;)
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Profile Eric Driver
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Message 903 - Posted: 16 Aug 2013, 3:56:07 UTC - in response to Message 902.  

For those that are curious...
For this first case, the total elapsed time summed over all clients was 765.9 years.

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