20130102, 17:44  #67 
"Vincent"
Apr 2010
Over the rainbow
2,843 Posts 
playing with frmky's last upload (only half thru it)
poly is 23000623460100 4200026754030636886542 325872963021220734540680389841 71104560237504929295111562904399389 2515044822412759992774011178811387566386570 214938857506910312002364866202388589245612515363 2518563929690957541751459455188308671386866572717152336 53041291506298756714237 5115212953529178920472571451294711821103119 2.09 5.249183e+033 Code:
Wed Jan 02 07:30:03 2013 Msieve v. 1.51 (SVN 766) Wed Jan 02 07:30:03 2013 random seeds: 6d21a47c 93a68ff0 Wed Jan 02 07:30:03 2013 factoring 412023436986659543855531365332575948179811699844327982845455626433876445565248426198098870423161841879261420247188869492560931776375033421130982397485150944909106910269861031862704114880866970564902903653658867433731720813104105190864254793282601391257624033946373269391 (270 digits) Wed Jan 02 07:30:05 2013 no P1/P+1/ECM available, skipping Wed Jan 02 07:30:05 2013 commencing number field sieve (270digit input) Wed Jan 02 07:30:05 2013 commencing number field sieve polynomial selection Wed Jan 02 07:30:05 2013 polynomial degree: 6 Wed Jan 02 07:30:05 2013 max stage 1 norm: 1.08e+035 Wed Jan 02 07:30:05 2013 max stage 2 norm: 2.46e+035 Wed Jan 02 07:30:05 2013 min Evalue: 0.00e+000 Wed Jan 02 07:30:05 2013 poly select deadline: 1079999 Wed Jan 02 07:41:41 2013 polynomial selection complete Wed Jan 02 07:41:41 2013 R0: 5115212953529306844186435346484985056758031 Wed Jan 02 07:41:41 2013 R1: 53041291506298756714237 Wed Jan 02 07:41:41 2013 A0: 379896940535659287453260136796270948676592389901631962720 Wed Jan 02 07:41:41 2013 A1: 356485807960054857061300970481298628845280475487976 Wed Jan 02 07:41:41 2013 A2: 88244722381684984039807462984918078359735096 Wed Jan 02 07:41:41 2013 A3: 3323380506955608894448655022916446492 Wed Jan 02 07:41:41 2013 A4: 378527384940320290220809646801 Wed Jan 02 07:41:41 2013 A5: 4532860863907273712142 Wed Jan 02 07:41:41 2013 A6: 23000623460100 Wed Jan 02 07:41:41 2013 skew 18516337.01, size 4.775e020, alpha 10.361, combined = 2.509e019 rroots = 4 Last fiddled with by firejuggler on 20130102 at 18:04 
20130102, 18:43  #68 
Sep 2009
2·3·163 Posts 
11752 new stage 1 hits with norm 2e33, produced by MPIpatched CPU msieve.

20130102, 19:30  #69 
"Vincent"
Apr 2010
Over the rainbow
2,843 Posts 
poly was
Code:
23000623460100 53041291506298756714237 5115212953527564653744592445975459711681095 
20130107, 07:21  #70 
Sep 2009
2×3×163 Posts 
40197 new stage 1 hits, most of them generated by GPU msieve on my GT540M, and the rest by MPIpatched CPU msieve.

20130107, 19:10  #71 
Sep 2009
2·3·163 Posts 
I've run size optimization on my latest 40197 hits (a number of "line optimization failed" messages), and I'm now running root optimization in ascending order of stage 1 norm (e+33 and e+34 values, less than 1% of all sizeoptimized hits).
The norms, alphas and e values tend to be decreasing on average, and I haven't seen a 3e20 norm for a while, so chances are that the best potential hits have already been found... The best polynomial so far is better than my previous best, but still much worse than the best ones posted here: Code:
# norm 3.928016e20 alpha 11.376284 e 2.143e19 rroots 4 skew: 47860990.01 c0: 102243377053834035977456615540543318152506688915339403180155 c1: 6607905899690278300548521267259375978782553228004647 c2: 990115457387976288997208498176855800512746728 c3: 2374578563317318524203706157960245520 c4: 115319739334363910337347697197 c5: 3817121901056644507273 c6: 45678923690400 Y0: 4562480378270649518664783149805881289770388 Y1: 35998309767524359673137 But the above polynomial is, in fact, not the main reason why I'm writing this post. I'm writing it because, in the output, I noticed several outliers with shorter c0, very low skew, and terrible indicated e values, despite norms comparable to those of the "normal" polynomials. Here are several examples: Code:
# norm 2.372578e20 alpha 10.426309 e 1.964e20 rroots 2 skew: 1197.46 c0: 18481412854226641032415109537792402344324145678149569243 c1: 412818324451811043545670157890441895685514959354757096 c2: 2456685007867823022280006789699102572790645669 c3: 66233377310249932462663890531016567923 c4: 496905266675509984230728250988 c5: 1336373776546492878581 c6: 1500024500100 Y0: 8062516096127221174983998069912229229885966 Y1: 34136309016942249143093 # norm 2.368751e20 alpha 10.846135 e 2.245e20 rroots 4 skew: 1377.05 c0: 2642388665373048624150808121402634764591949455367447825 c1: 438501348563241987768009661055349213982843345699856290 c2: 4693749974898874734068961081565468612650025973 c3: 186189783670734795089307249827424690087 c4: 2924675753151214297925870173078 c5: 12806778906904494395723 c6: 23456710532640 Y0: 5098500528781644024246804152176670963216164 Y1: 22196851711482804191917 # norm 3.036890e20 alpha 11.223265 e 2.666e20 rroots 4 skew: 1334.97 c0: 28576717055994791421425058746265638291236302755674259745 c1: 222801134536579704276697225767050208595951749040306072 c2: 1398221794954370584472235616298871514610192843 c3: 124644134602986531319500832562710506959 c4: 690941799193854044069220331794 c5: 1776275142072176247887 c6: 1900035882108 Y0: 7751040741275170619614657060899972044441224 Y1: 109564369221121497194087 # norm 2.288852e20 alpha 10.619501 e 2.490e20 rroots 2 skew: 1766.88 c0: 1393418822768280472160344800352078143099930198234976875 c1: 85215789369701604171965788635140830817277453757134150 c2: 368799273673517383122693984287542029297070690 c3: 73498701786682246657794324606801605568 c4: 1583577793726330690346273176767 c5: 2617296398705592280666 c6: 1800000012120 Y0: 7821227202316007911700848546218259081952266 Y1: 240333343470261878614787 # norm 2.319390e20 alpha 10.667771 e 1.962e20 rroots 4 skew: 1197.42 c0: 60297133975171382084881582505263853794821480445420380429 c1: 735812972956460443707231473680530061138485617982676392 c2: 5483937239726035047381552949647510651082363571 c3: 183781698612356696913135396595290025285 c4: 443631729780461087297695693254 c5: 1570418878625124677333 c6: 2300058204444 Y0: 7508108080138893173363569991159709738912898 Y1: 42471148941794878087325 
20130109, 01:38  #73 
Tribal Bullet
Oct 2004
5·709 Posts 
The 'norm' value is a numericallycomputed integral that does not depend on translation and skew, so it is a more approximate measure of polynomial quality than the Murphy E score.
Usually when the loworder coefficients are extremely small it is an indication that the size optimization cannot do very much with the hit from stage 1; my experience is that you can force the skew to be small and can find a weak local optimum in the neighborhood of the original hit, but better optima are almost always very far away. Dubslow, thanks for the contributions! Last fiddled with by jasonp on 20130109 at 01:43 
20130110, 21:30  #74 
"Vincent"
Apr 2010
Over the rainbow
2,843 Posts 
After collecting a few stage 1 hit, and meddling with the second stage, i'm left wondering why, in the first part of the second stage, we allow such a high norm.From what I seen, unless your norm is below 5e34 you won't have a final murphy score above 1e19.
It make no sense to allow a "stage2_norm=1e100". Now, if there is a good explanation, I'm all ears. 
20130110, 23:09  #75 
Tribal Bullet
Oct 2004
5·709 Posts 
The stage 2 norm is set deliberately too large so that all the outputs from the size optimization make it into the output file. That's really just so we can get a statistical idea of how rare it is to get a polynomial with good size. Of course, if you then ran the root optimization on everything it's a disastrously bad idea.

20130111, 07:38  #76  
Sep 2009
2×3×163 Posts 
Quote:


20130129, 22:24  #77 
Jul 2003
So Cal
100101001010_{2} Posts 
Here's another 6 million hits: https://www.dropbox.com/s/9j8oml7r5h...896_3.dat.m.gz

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