mersenneforum.org Polynomial Request Thread
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 2013-06-26, 15:52 #1 WraithX     Mar 2006 1D816 Posts Polynomial Request Thread I've been doing polynomial searches for a C210 for 3 months (since Mar 16) on three different video cards (GTX550Ti, GTX570, and GTX580). In the last few weeks I've been really learning how to tweak the command line options to msieve to start getting good results. I started with degree 5 searches and have been doing a lot of degree 6 searches lately. I think the degree 6 searches are probably returning better results due to my better tweaking of the polynomial search options. Here are the best few results I've found so far. Hopefully this can help others know where their best scores for a C210 should be. Code: Degree 5 # norm 1.276810e-20 alpha -9.238464 e 9.932e-16 rroots 5 skew: 380780879.24 # norm 1.161363e-20 alpha -9.018629 e 9.234e-16 rroots 5 skew: 609572156.15 # norm 1.358701e-20 alpha -6.910857 e 1.038e-15 rroots 5 skew: 104279094.33 # norm 1.270759e-20 alpha -7.678108 e 9.961e-16 rroots 3 skew: 291528643.68 Degree 6 # norm 2.827871e-015 alpha -10.512910 e 9.028e-016 rroots 2 skew: 1564743.15 # norm 3.242080e-015 alpha -9.429823 e 1.024e-015 rroots 4 skew: 1013932.94 # norm 3.252680e-015 alpha -7.597478 e 1.032e-015 rroots 6 skew: 830332.96 # norm 3.384932e-015 alpha -7.504910 e 1.054e-015 rroots 6 skew: 673235.34 # norm 3.617168e-015 alpha -7.884669 e 1.120e-015 rroots 6 skew: 741885.74 # norm 3.407911e-015 alpha -8.473234 e 1.056e-015 rroots 6 skew: 788144.46 # norm 3.211134e-015 alpha -9.178180 e 1.016e-015 rroots 4 skew: 924161.97 Also, Jason, when was the msieve/CADO E score change/alignment made? All of the above results were with SVN 845 or later. I see in the degree 6 group that the best E score has a pretty low alpha. There are some with slightly worse E that have much better alpha's. Will those poly's tend to be better than the one with the best E? Also, when creating a job file for this C210, should I use the parameters referenced by Batalov in post #43 for the RSA-c212: Code: rlim: 250000000 alim: 500000000 lpbr: 33 lpba: 33 mfbr: 66 mfba: 96 rlambda: 2.7 alambda: 3.7 Or should I adjust any of those parameters up or down for this C210?
 2013-06-26, 16:35 #2 jasonp Tribal Bullet     Oct 2004 2·3·19·31 Posts The comparison between polynomials is meant to be using the E-value alone; a better alpha just means that the average polynomial value is reduced by more when small primes are divided out of it, but the E value score accounts for that already. If the E-value is still worse, it means that across the sieving region the average polynomial value is still too large, and sieving is predicted to be slower. That being said, when the E values are far apart, it doesn't mean that the sieving will be faster by the ratio of the E-values. Also, when the E values are close between two polynomials you don't necessarily know which one will sieve faster. And of course you can't directly compare degree 5 E-values with degree 6. The change to the E-value computation occurred late last year in SVN838 (link).
2013-06-29, 17:29   #3
lorgix

Sep 2010
Scandinavia

3×5×41 Posts

Quote:
 Originally Posted by VBCurtis I think we both would benefit from playing with settings and finding polys for a couple of smaller numbers. Perhaps some of the heavy hitters in this forum would like to supply you and I a couple of C155-180s to poly search? We can discuss settings, try to learn what stage1 bound produces the largest rate of useful nps hits per hour of gpu time, etc. I have a c147 in my own queue; I had just done -np for 5 days for a poly when this thread began. I tried to apply what we learned last week, and restarted the search. 24 hours of -np1 with stage1 set to 2e21 (default is 2.38e22) produced roughly 700MB of hits with a 460M, which will take almost a core-week to size optimize. This makes me wonder how -np manages to do all 3 steps with just one CPU thread without massively stalling the GPU. So, my first tentative guideline is to set stage 1 norm 10x tighter than default when running -np1 on its own, and even then the cpu has no chance to keep up. Or does the -nps step work with the -t threads command? If I understand previous advice, I should not bother to npr more than, say, 500 best nps hits? -Curtis
Here are a few 157-digit GNFS candidates:
Code:
(181^103-1)/((181-1)*7417*3386023*1622748672647*767015484026387551*1656939272001358583196903067208809)
(877^79-1)/((877-1)*4583*208520387347*96078130292657*103086319456710261705085017633872730943681601)
(5591^61-1)/((5591-1)*16556099215542617537*743213379283195327995487*11686924821525596917649777)
(421^101-1)/((421-1)*3637*52859291287277*15527015834461272375419*384360771211140230121323*3103491858106402597710257788494888754189303)
They are also listed at the OPN composites page. They have each had a t50.

 2013-07-03, 16:45 #4 chris2be8     Sep 2009 22·32·5·11 Posts And here are a few C155s from the brent tables: Code: 37^148+1: 53256352248508781310601406937700148401433921469238262986221221969535186719520246104398418441069199796933268854865064708804615169745013643006481466447660961 39^158+1: 57251144267448459013407835983100098695823895728185123234566440360247697204733683280958505357854575913997481470550923347918936942495096589838578570989796317 84^131-1: 41165489682949123266408283036002947056410598293692637659169409441265128442052082335024569998521857926287112862036984560544046563790581362400293870259353717 Decent polynomials would be much appreciated. And used within a few weeks. Chris Last fiddled with by chris2be8 on 2013-07-03 at 16:47 Reason: Added code tags.
 2013-07-04, 06:25 #5 VBCurtis     "Curtis" Feb 2005 Riverside, CA 2×3×769 Posts Lorgix: Here is the poly for the first of your C157s. Working on the second one now. Code:  # norm 3.949172e-015 alpha -8.210982 e 2.273e-012 rroots 5 skew: 1383524.30 c0: -10405392053173879819844165201642065059 c1: 36925967403223132546442214528403 c2: 58143858551344578567358429 c3: -109070046618529232111 c4: -37237435898622 c5: 7000056 Y0: -931783012256402861904377561482 Y1: 10572282005725577 msieve's "expected" range is 1.99 to 2.29, so this is the best I've found yet compared to the range.
 2013-07-04, 20:13 #6 wombatman I moo ablest echo power!     May 2013 110110011012 Posts I'm currently visiting my parents for a few days, but I'll take a whack at those C155 when I get back starting on Sunday night. Edit: And man, Curtis, you're getting good at finding quality polynomials ;) Last fiddled with by wombatman on 2013-07-04 at 20:20
 2013-07-04, 22:45 #7 firejuggler     Apr 2010 Over the rainbow 2·1,259 Posts for the last C155; i have Code: Fri Jul 05 00:42:15 2013 R0: -827616417405609634728088002150 Fri Jul 05 00:42:15 2013 R1: 28187403266123 Fri Jul 05 00:42:15 2013 A0: 5969861234518297522907000759225553806219 Fri Jul 05 00:42:15 2013 A1: -1242828883684993362593839952820816 Fri Jul 05 00:42:15 2013 A2: -314872315331335981141115807 Fri Jul 05 00:42:15 2013 A3: 7334506598186025480 Fri Jul 05 00:42:15 2013 A4: 1345922527272 Fri Jul 05 00:42:15 2013 A5: 106020 Fri Jul 05 00:42:15 2013 skew 10612394.92, size 3.542e-015, alpha -7.552, combined = 2.295e-012 rroots = 3 the skew is horrible, i'll try to get it better.
 2013-07-05, 01:20 #8 firejuggler     Apr 2010 Over the rainbow 2·1,259 Posts another one a tad better Code: Fri Jul 05 03:08:35 2013 R0: -623447711050511546995815433789 Fri Jul 05 03:08:35 2013 R1: 8761390491389 Fri Jul 05 03:08:35 2013 A0: 905530941064703484336217099566456480 Fri Jul 05 03:08:35 2013 A1: -861646222655766816418285571222 Fri Jul 05 03:08:35 2013 A2: -3497899057671750440311749 Fri Jul 05 03:08:35 2013 A3: -1030131356148504116 Fri Jul 05 03:08:35 2013 A4: -152229414212 Fri Jul 05 03:08:35 2013 A5: 437052 Fri Jul 05 03:08:35 2013 skew 1472568.84, size 3.533e-015, alpha -4.681, combined = 2.342e-012 rroots = 3 Last fiddled with by firejuggler on 2013-07-05 at 01:21
 2013-07-08, 04:21 #9 wombatman I moo ablest echo power!     May 2013 1,741 Posts I'm running the 1st C155 on the GPU overnight. I'll do the root optimization tomorrow during the day on the top 200 polynomials and report back what I get.
 2013-07-08, 09:32 #10 firejuggler     Apr 2010 Over the rainbow 1001110101102 Posts I found a few god one, but 2 in particular might be of interest Code: Mon Jul 08 11:37:14 2013 Msieve v. 1.51 (SVN 845) Mon Jul 08 11:37:14 2013 random seeds: 1b8e2a80 95a5f588 Mon Jul 08 11:37:14 2013 factoring 41165489682949123266408283036002947056410598293692637659169409441265128442052082335024569998521857926287112862036984560544046563790581362400293870259353717 (155 digits) Mon Jul 08 11:37:15 2013 searching for 15-digit factors Mon Jul 08 11:37:16 2013 commencing number field sieve (155-digit input) Mon Jul 08 11:37:16 2013 commencing number field sieve polynomial selection Mon Jul 08 11:37:16 2013 polynomial degree: 5 Mon Jul 08 11:37:16 2013 max stage 1 norm: 9.18e+023 Mon Jul 08 11:37:16 2013 max stage 2 norm: 5.99e+021 Mon Jul 08 11:37:16 2013 min E-value: 2.15e-012 Mon Jul 08 11:37:16 2013 poly select deadline: 1051656 Mon Jul 08 11:39:50 2013 polynomial selection complete Mon Jul 08 11:39:50 2013 R0: -1501163178758465311986178676080 Mon Jul 08 11:39:50 2013 R1: 174924457784843 Mon Jul 08 11:39:50 2013 A0: 70988493301319445825160212365935410879 Mon Jul 08 11:39:50 2013 A1: 386946903243104424828373548939059 Mon Jul 08 11:39:50 2013 A2: -334142141498605234086353853 Mon Jul 08 11:39:50 2013 A3: 6353932963613881761 Mon Jul 08 11:39:50 2013 A4: 1028510168554 Mon Jul 08 11:39:50 2013 A5: 5400 Mon Jul 08 11:39:50 2013 skew 16379926.92, size 3.737e-015, alpha -7.395, combined = 2.379e-012 rroots = 5 Mon Jul 08 11:39:50 2013 elapsed time 00:02:36 Mon Jul 08 11:40:48 2013 Msieve v. 1.51 (SVN 845) Mon Jul 08 11:40:48 2013 random seeds: 7a772be0 46b58b0b Mon Jul 08 11:40:48 2013 factoring 41165489682949123266408283036002947056410598293692637659169409441265128442052082335024569998521857926287112862036984560544046563790581362400293870259353717 (155 digits) Mon Jul 08 11:40:49 2013 searching for 15-digit factors Mon Jul 08 11:40:50 2013 commencing number field sieve (155-digit input) Mon Jul 08 11:40:50 2013 commencing number field sieve polynomial selection Mon Jul 08 11:40:50 2013 polynomial degree: 5 Mon Jul 08 11:40:50 2013 max stage 1 norm: 9.18e+023 Mon Jul 08 11:40:50 2013 max stage 2 norm: 5.99e+021 Mon Jul 08 11:40:50 2013 min E-value: 2.15e-012 Mon Jul 08 11:40:50 2013 poly select deadline: 1051656 Mon Jul 08 11:43:11 2013 polynomial selection complete Mon Jul 08 11:43:11 2013 R0: -407412222417409604224962008770 Mon Jul 08 11:43:11 2013 R1: 50546045697907 Mon Jul 08 11:43:11 2013 A0: -1286847112018991239507506042869013549 Mon Jul 08 11:43:11 2013 A1: -7383152566924000392587309855332 Mon Jul 08 11:43:11 2013 A2: 12227613193775654000123047 Mon Jul 08 11:43:11 2013 A3: 47036571506094985398 Mon Jul 08 11:43:11 2013 A4: -17650020048104 Mon Jul 08 11:43:11 2013 A5: 3667440 Mon Jul 08 11:43:11 2013 skew 864607.51, size 3.631e-015, alpha -6.985, combined = 2.377e-012 rroots = 3 Mon Jul 08 11:43:11 2013 elapsed time 00:02:23 the poly are 5400 174924457784843 1501163185421857259726011744947 3667440 50546045697907 407412222368757771589584073595 Last fiddled with by firejuggler on 2013-07-08 at 09:48
 2013-07-08, 17:10 #11 firejuggler     Apr 2010 Over the rainbow 1001110101102 Posts Since my leading coefficient has reached 7e6 I have a dry spell, with very few hit passing the -npr stage between 7 and 20e6 ( msieve1.50 has a few more, but because the score is sur-evaluated in 1.50, not in later). Should I widen my stage 1 limits? Last fiddled with by firejuggler on 2013-07-08 at 17:10

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