20090816, 12:17  #1 
(loop (#_fork))
Feb 2006
Cambridge, England
13×491 Posts 
12+256 matrix job
I have found 35 dependencies, but then the network card on the machine I found them on failed so it will be a little while before I can get the square root done

20090816, 13:56  #2  
Jun 2005
lehigh.edu
2^{10} Posts 
Quote:
the matrix finished. I was wondering whether you're impatient yet for gnfs data? Sieving for Serge's 2, 2086M is just about done, so I would switch to our c163 if you wanted more data soon. Bruce 

20090816, 19:39  #3 
(loop (#_fork))
Feb 2006
Cambridge, England
13×491 Posts 
It turns out that unplugging the computer, plugging it in again, turning it on (at which point it fails to start booting), turning it off again and turning it on for a second time will sometimes make the network interface reappear.
Code:
Fri Jun 26 00:58:30 2009 memory use: 7421.1 MB Tue Aug 11 19:38:36 2009 lanczos halted after 387759 iterations (dim = 24519655) Tue Aug 11 19:39:17 2009 recovered 35 nontrivial dependencies Tue Aug 11 19:39:18 2009 BLanczosTime: 4045839 Tue Aug 11 19:39:18 2009 elapsed time 1123:50:42 ... Sun Aug 16 20:34:00 2009 commencing square root phase Sun Aug 16 20:34:00 2009 reading relations for dependency 1 Sun Aug 16 20:34:10 2009 read 12262248 cycles Sun Aug 16 20:34:29 2009 cycles contain 38132421 unique relations 6783 nfsslave 20 0 4513m 3.9g 1028 R 47 33.4 3:49.06 msieve 6783 nfsslave 20 0 5929m 5.7g 1028 R 55 48.6 7:31.56 msieve Last fiddled with by fivemack on 20090816 at 19:44 
20090817, 10:12  #4 
(loop (#_fork))
Feb 2006
Cambridge, England
1100011101111_{2} Posts 
And it's done
Code:
Sun Aug 16 20:49:14 2009 multiplying 30857386 relations Sun Aug 16 22:23:43 2009 multiply complete, coefficients have about 841.60 million bits Sun Aug 16 22:23:52 2009 initial square root is modulo 35517907 Mon Aug 17 01:24:32 2009 sqrtTime: 17432 Mon Aug 17 01:24:32 2009 prp96 factor: 452271654045095376354829024468620655107168044537189917947981878284544891082485331470888529210881 Mon Aug 17 01:24:32 2009 prp132 factor: 293351100534073339320273736685554040546989773558978742766077630132017865996601983557083266543920963624936810354879103450020778081793 Mon Aug 17 01:24:32 2009 elapsed time 04:50:34 Last fiddled with by fivemack on 20090817 at 10:13 
20090817, 10:49  #5 
Mar 2007
Germany
2^{3}·3·11 Posts 
Wow ! Over 400 Million unique relations are impressive.
Congratulation to this big job. 
20090817, 14:01  #6 
Tribal Bullet
Oct 2004
3^{3}·131 Posts 
Yup, this is the record now. A matrix of size 24M is about 36% the size of a matrix for SNFS1024.
Would it be possible to run dependency #1 through the latest SVN version of msieve? It would be nice to see if the GMP square root code can scale to a number this large. 
20090817, 16:49  #7  
Jun 2005
lehigh.edu
2^{10} Posts 
Quote:
Code:
Special number field sieve by SNFS difficulty: 5501 c307 2,1039 K.Aoki+J.Franke+T.Kleinjung+A.K.Lenstra+D.A.Osvik 5739 c228 12,256+ T.Womack+B.Dodson 400 Million unique relations collected, the other two being 5,389+ C265 and 2,908+ C268 (there was also 5, 383+ C267, but that was easier, by snfs difficulty), all Childers/Dodson. There's a fourth one pending, which Greg is currently working on 5,398+ C274, the first number done with Greg's binary of Serge's new 16e siever (the others are with 15e). So far as I know, it's the 433 Million unique that's the largest successful filtering. I'm not sure which of Greg's was the largest (not counting relations found but not successfully through filtering). Bruce 

20090817, 19:05  #8 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
22311_{8} Posts 
Congratulations!
The last Generalized Fermat! Huge difficulty number. If only you could have sieved it again, now with 16e. ;) P.S. Do let Prof.Keller now. http://www1.unihamburg.de/RRZ/W.Keller/GFN12.html 
20090817, 21:19  #9  
Jul 2003
So Cal
100000101000_{2} Posts 
Quote:
2,908+ had 559633687 unique relations, but msieve couldn't make a matrix. I ended up using 488188552 unique relations to make a 20719167 x 20719414 matrix. I still have the original relations, so I should try it with the new filtering code. 

20090818, 09:23  #10  
(loop (#_fork))
Feb 2006
Cambridge, England
13·491 Posts 
Quote:
Code:
Mon Aug 17 20:34:10 2009 Msieve v. 1.43 Mon Aug 17 20:34:13 2009 commencing square root phase Mon Aug 17 20:34:13 2009 reading relations for dependency 1 Mon Aug 17 20:34:24 2009 read 12262248 cycles Mon Aug 17 20:34:53 2009 cycles contain 38132421 unique relations Mon Aug 17 20:46:51 2009 read 38132421 relations Mon Aug 17 20:52:09 2009 multiplying 30857386 relations Mon Aug 17 23:58:44 2009 multiply complete, coefficients have about 841.60 million bits Mon Aug 17 23:58:51 2009 initial square root is modulo 35517907 Tue Aug 18 05:51:37 2009 sqrtTime: 33444 Tue Aug 18 05:51:37 2009 prp96 factor: 452271654045095376354829024468620655107168044537189917947981878284544891082485331470888529210881 Tue Aug 18 05:51:37 2009 prp132 factor: 293351100534073339320273736685554040546989773558978742766077630132017865996601983557083266543920963624936810354879103450020778081793 Tue Aug 18 05:51:37 2009 elapsed time 09:17:27 Last fiddled with by fivemack on 20090818 at 10:50 

20090818, 10:47  #11 
Nov 2008
2·3^{3}·43 Posts 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Connectivity Matrix  Xyzzy  Lounge  13  20170221 18:29 
GF(2) Matrix request  oslik  Factoring  22  20081102 12:53 
[Need help] about Matrix Polynomial  buan  Homework Help  3  20070717 15:07 
CWI Matrix Solver  R.D. Silverman  NFSNET Discussion  6  20060319 17:56 
The Matrix + Table Tennis = ?  Xyzzy  Lounge  8  20030830 16:07 