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

swellman 2018-03-15 01:33

Prodigious output Max! Thanks for the polys. You’ve set the high water mark for this composite. Though my plan is to test sieve only those polys with an e-score > 1.4e-13.

I should be done with searching c5 < 1M by the weekend. Planning to take 2-3M after that. Thanks to all for their respective efforts to date.

Max0526 2018-03-15 02:05

C177_134_73
 
Sorry for the clutter. It looks like we have a new kid on the block:
[code]
Y0: -18032636356219074785558383841624291
Y1: 438537618959093566462
c0: 271505994402943465056198225475071482427390
c1: -181694236759423648713381777974015319
c2: -35756444484062655550639666360
c3: 5518754899135789926689
c4: 229843191998580
c5: 1134000
skew: 17337907.89211
# lognorm 55.44, E 47.27, alpha -8.17 (proj -2.47), 5 real roots
# MurphyE = 1.52439247e-13
[/code]

Max0526 2018-03-15 03:23

C177
 
And a current runner-up:
[code]
Y0: -18032640687902910999237427651849321
Y1: 219268809479546783231
c0: 30440131738797245626025529693955728677218980
c1: 2258911584105232292873312416298308613
c2: -302683478683770051892972270755
c3: -4912015287249228008222
c4: 173837398448580
c5: 567000
skew: 43800673.11360
# lognorm 56.44, E 47.59, alpha -8.85 (proj -2.82), 5 real roots
# MurphyE = 1.46998529e-13
[/code]

Max0526 2018-03-15 05:18

C177
 
[code]
Y0: -18032641447306665234987861167800247
Y1: 438537618959093566462
c0: 913639716714162095270228747086520417354034
c1: 282105719826108468430585518034343719
c2: -59843035111825132823686239846
c3: -3626120600522150641471
c4: 164018812538580
c5: 1134000
skew: 20303816.77353
# lognorm 55.35, E 47.41, alpha -7.94 (proj -2.47), 5 real roots
# MurphyE = 1.43155094e-13
[/code][code]
Y0: -18032640900017417763085558439588253
Y1: 219268809479546783231
c0: 63208114741297654311580891939691462579931750
c1: 2830109081833914830653159011348016499
c2: -287457302255167546189938424683
c3: -5579370979812429655262
c4: 171094898828580
c5: 567000
skew: 45704264.12767
# lognorm 56.65, E 47.95, alpha -8.70 (proj -2.82), 5 real roots
# MurphyE = 1.41851128e-13
[/code][code]
Y0: -18032640816122540030497204614008881
Y1: 219268809479546783231
c0: 104397752194749606871818781117510298948229870
c1: 2607727435865230234812940974796360343
c2: -293710906051408286281383332595
c3: -5316689091775802571422
c4: 172179603848580
c5: 567000
skew: 46107989.07707
# lognorm 56.87, E 48.27, alpha -8.60 (proj -2.82), 5 real roots
# MurphyE = 1.40693901e-13
[/code]

swellman 2018-03-15 15:23

[QUOTE=Max0526;482360]Sorry for the clutter. It looks like we have a new kid on the block:
[code]
Y0: -18032636356219074785558383841624291
Y1: 438537618959093566462
c0: 271505994402943465056198225475071482427390
c1: -181694236759423648713381777974015319
c2: -35756444484062655550639666360
c3: 5518754899135789926689
c4: 229843191998580
c5: 1134000
skew: 17337907.89211
# lognorm 55.44, E 47.27, alpha -8.17 (proj -2.47), 5 real roots
# MurphyE = 1.52439247e-13
[/code][/QUOTE]

Awesome find!!

Max0526 2018-03-16 01:06

C177 poly
 
A slight improvement from msieve:
[code]
Y0: -18032637465214493952643190295486529
Y1: 438537618959093566462
c0: 422350353444455437951948965729548821847680
c1: 90393272761662392398979662338013948
c2: -68988940653139931958652083763
c3: 3266320170348965129009
c4: 215504618168580
c5: 1134000
skew: 17903975.73
size 3.482e-017, alpha -8.170, combined = 1.527e-013 rroots = 5
[/code]

VBCurtis 2018-03-16 03:52

[QUOTE=VBCurtis;482219]I'll run 3-5M. 2-3M unreserved, but I figure one of you will extend your search into that space.[/QUOTE]

3-5M produced nothing above mid 1.20's. Continuing on to 6M.

Max0526 2018-03-16 15:45

C177_134_73
 
Two more polys from msieve:
[code]
Y0: -18032640738155156024569438979513132
Y1: 219268809479546783231
c0: 29906593604501330538561007355369528494304154
c1: 2396867831268564225336754226752884977
c2: -299251541468801294839404145929
c3: -5071078391817189190142
c4: 173187670313580
c5: 567000
skew: 43804722.15
# size 3.267e-17, alpha -8.851, combined = 1.470e-13 rroots = 5
[/code]
[code]
Y0: -18032640619868842600352090391284334
Y1: 219268809479546783231
c0: 13535515527637732149103230245288224140697260
c1: 2069682485501425389441345521056776659
c2: -307155151564455193793251684317
c3: -4695718440134654351582
c4: 174717033743580
c5: 567000
skew: 42137773.23
# size 3.127e-17, alpha -8.691, combined = 1.427e-13 rroots = 5
[/code]

Max0526 2018-03-16 20:02

C177 poly
 
One more above 1.4:
[code]
Y0: -18032641528314430553159022498577042
Y1: 219268809479546783231
c0: 93030347547843093505418822981704380129725424
c1: 4324139239228636028081214395271643487
c2: -231200215450409743182415800069
c3: -7493851025760062285342
c4: 162971435963580
c5: 567000
skew: 45685957.34
# size 3.122e-017, alpha -8.601, combined = 1.407e-013 rroots = 5
[/code]

swellman 2018-03-16 20:33

[QUOTE=VBCurtis;482466]3-5M produced nothing above mid 1.20's. Continuing on to 6M.[/QUOTE]

Thank you for continuing the search. Made one quick/light pass over 2-3M, now making another slow/deep pass which will take a few days. Likewise, I have found nothing worth reporting so far.

Based on the search time spent so far and the very high relative score(s) of the top flares, does it make sense to end the search at 6M? Or is that quitting too early? I’m a relative newb in the poly search game, so I’m open to any guidance.

Either way, thanks to all of you for your efforts. Even if we stopped right now, we’ve advanced the C177 benchmark considerably without ridiculous amounts of GPU time.

FWIW, I’ve got five more GNFS jobs in the pipe. They range from C178 to C182. For another day perhaps.

VBCurtis 2018-03-16 21:32

IMO, setting a record is grounds for proceeding to test-sieve and GGNFS. I'll be stopping at 6M, and I don't think having multiple candidates over 1.45e-13 is in any way under-searched.

I'll have spent about 100 GPU hours, and I assume you two have spent more. 10 GPU-days is a bit light for this size, but Max did a CADO search too and we got great results.

I have a GNFS179 next in my personal queue, and had planned on 14 GPU days minimum (with more if I don't get a score I like). That's consistent with what we did here.


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