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-   -   Polynomial Request Thread (https://www.mersenneforum.org/showthread.php?t=18368)

wombatman 2013-10-05 03:46

Definitely willing--got a little more time on the C166 for RichD first, but you'll be up next.

firejuggler 2013-10-05 11:07

I can't get anything remotly close to to my best score (5.37) for the 4788 sequence.
I will start looking at yours, swellman.
expecting poly E from 4.27e-013 to > 4.91e-013

swellman 2013-10-05 12:58

Thank you all.

debrouxl 2013-10-05 13:02

So... For the Aliquot C166, it looks like the polynomials with best E value are:
[url]http://www.mersenneforum.org/showpost.php?p=354887&postcount=245[/url]
[url]http://www.mersenneforum.org/showpost.php?p=355071&postcount=248[/url]
[url]http://www.mersenneforum.org/showpost.php?p=355154&postcount=250[/url]

All three leading coefficients are high, though :unsure:
Last time (post #226), the polynomial with a leading coefficient in the 1M range largely beat the polynomial of similar E value with a leading coefficient in the 20% range.

wombatman 2013-10-05 13:15

Post #247 ([url]http://mersenneforum.org/showpost.php?p=354958&postcount=247[/url]) has a leading coefficient in the 5M range, but with a slightly lower score. Maybe that would be worth checking out?

firejuggler 2013-10-05 13:38

Debrouxl, i'll try with a very low LC for a few hours, in the 1M range.
As for swellman's C168, I have
[code]
n=518759670509518390499884894142825232305789370205934770356684820953606669616234831388561087386018771667622991938328056602692240129084683654895676978808741395629768407883
R0: -105317384837345063824645696506111
R1: 76838901016397327
A0: -2927567441266009430694267586261766169520
A1: 25173374174114924141817443838204354
A2: -21627216241283611979321015885
A3: -4512694379714443247124
A4: 799777113123900
A5: 40037400
skew 4653959.25, size 1.392e-016, alpha -7.562, combined = 3.362e-013 rroots = 5
[/code]

firejuggler 2013-10-05 19:56

On the 4788.C166 front , I have one, the skew is slightly above 11M, but the score is *equivalent* to the 3 we offerred
[code]
R0: -78764596806719279335948607498706
R1: 704739813349024603
A0: -64097545582231836173154185834090974313893
A1: 57038273747787160306728671709353557
A2: -11922305817556816403635714269
A3: -867444673665392023597
A4: 78372426411442
A5: 2715720
skew 11681526.87, size 2.887e-016, alpha -8.163, combined = 5.314e-013 rroots = 3
[/code]

wombatman 2013-10-05 22:03

I've started at 10M on the C168 for swellman since firejuggler's taking care of the low coefficient search for the C166.

VBCurtis 2013-10-05 22:31

[QUOTE=debrouxl;355332]So... For the Aliquot C166, it looks like the polynomials with best E value are:
[url]http://www.mersenneforum.org/showpost.php?p=354887&postcount=245[/url]
[url]http://www.mersenneforum.org/showpost.php?p=355071&postcount=248[/url]
[url]http://www.mersenneforum.org/showpost.php?p=355154&postcount=250[/url]

All three leading coefficients are high, though :unsure:
Last time (post #226), the polynomial with a leading coefficient in the 1M range largely beat the polynomial of similar E value with a leading coefficient in the 20% range.[/QUOTE]

Everything I have read on these forums indicates that low A5 coefficients are to be avoided, as the polys are no better (on average) than higher A5, but the skew is higher and the search takes longer per coeff than 8-digit A5s. Do you have something that counters these two items?

firejuggler 2013-10-05 22:48

It may be coincidential but the poly with a leading coef of 1.2M beat one with a LC of 20 M (20% faster), while the score was equivalent (within 5%). So debrouxl want to test it again.

VBCurtis 2013-10-05 23:51

Ah, I see. So we'll either have a sample size of 2 to indicate lower A5 values may perform better (and thus an interest in further testing), or we'll see it was a coincidence.

Two more days produced no better than 5.24. I am running a poly search for my own work today, but can continue this c166 Sunday-Monday if there is interest & patience.
-Curtis


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