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#111 | |
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Nov 2007
3·52 Posts |
Quote:
Code:
Thu Jul 24 09:35:03 2008 Msieve v. 1.36 Thu Jul 24 09:35:03 2008 random seeds: bb3d7377 1baa2537 Thu Jul 24 09:35:03 2008 factoring 8209836131236623540106248032442393614982637631141339598467747244677911494877848116936777629774248859738700738214196985237506543807286694994580847683477459 (154 digits) Thu Jul 24 09:35:05 2008 searching for 15-digit factors Thu Jul 24 09:35:07 2008 commencing number field sieve (154-digit input) Thu Jul 24 09:35:07 2008 R0: -366501892512856641124573959989 Thu Jul 24 09:35:07 2008 R1: 153803794949520818707 Thu Jul 24 09:35:07 2008 A0: -609153808778499403500623798053669920 Thu Jul 24 09:35:07 2008 A1: 988756559882381766374145859260 Thu Jul 24 09:35:07 2008 A2: 6199402379998072308296273 Thu Jul 24 09:35:07 2008 A3: -3390691833060500638 Thu Jul 24 09:35:07 2008 A4: -9008320667086 Thu Jul 24 09:35:07 2008 A5: 1245300 Thu Jul 24 09:35:07 2008 size score = 7.632233e-16, Murphy alpha = -5.440536, combined = 4.680043e-15 Thu Jul 24 09:35:22 2008 restarting with 56119189 relations Thu Jul 24 09:35:26 2008 added 4473 free relations Thu Jul 24 09:35:26 2008 Thu Jul 24 09:35:26 2008 commencing relation filtering Thu Jul 24 09:35:26 2008 commencing duplicate removal, pass 1 Thu Jul 24 09:42:52 2008 found 9287553 hash collisions in 56123662 relations Thu Jul 24 09:42:52 2008 commencing duplicate removal, pass 2 Thu Jul 24 09:43:36 2008 found 6360637 duplicates and 49763025 unique relations Thu Jul 24 09:43:36 2008 memory use: 270.4 MB Thu Jul 24 09:44:12 2008 ignoring smallest 4627297 rational and 4630124 algebraic ideals Thu Jul 24 09:44:12 2008 filtering rational ideals above 79233024 Thu Jul 24 09:44:12 2008 filtering algebraic ideals above 79233024 Thu Jul 24 09:44:12 2008 need 13886131 more relations than ideals Thu Jul 24 09:44:12 2008 commencing singleton removal, pass 1 Thu Jul 24 09:50:52 2008 relations with 0 large ideals: 3537616 Thu Jul 24 09:50:52 2008 relations with 1 large ideals: 12320206 Thu Jul 24 09:50:52 2008 relations with 2 large ideals: 17999617 Thu Jul 24 09:50:52 2008 relations with 3 large ideals: 12158008 Thu Jul 24 09:50:52 2008 relations with 4 large ideals: 3535543 Thu Jul 24 09:50:52 2008 relations with 5 large ideals: 208030 Thu Jul 24 09:50:52 2008 relations with 6 large ideals: 3985 Thu Jul 24 09:50:52 2008 relations with 7+ large ideals: 20 Thu Jul 24 09:50:52 2008 49763025 relations and about 33550400 large ideals Thu Jul 24 09:50:52 2008 commencing singleton removal, pass 2 Thu Jul 24 09:57:32 2008 found 9935040 singletons Thu Jul 24 09:57:32 2008 current dataset: 39827985 relations and about 22741790 large ideals Thu Jul 24 09:57:32 2008 commencing singleton removal, pass 3 Thu Jul 24 10:02:56 2008 found 1785510 singletons Thu Jul 24 10:02:56 2008 current dataset: 38042475 relations and about 20921975 large ideals Thu Jul 24 10:02:56 2008 commencing singleton removal, pass 4 Thu Jul 24 10:08:05 2008 found 303191 singletons Thu Jul 24 10:08:05 2008 current dataset: 37739284 relations and about 20617707 large ideals Thu Jul 24 10:08:05 2008 commencing singleton removal, final pass Thu Jul 24 10:14:49 2008 memory use: 554.3 MB Thu Jul 24 10:14:49 2008 commencing in-memory singleton removal Thu Jul 24 10:14:52 2008 begin with 37739284 relations and 24923114 unique ideals Thu Jul 24 10:15:28 2008 reduce to 32248209 relations and 19243887 ideals in 11 passes Thu Jul 24 10:15:28 2008 max relations containing the same ideal: 36 Thu Jul 24 10:15:34 2008 filtering rational ideals above 720000 Thu Jul 24 10:15:34 2008 filtering algebraic ideals above 720000 Thu Jul 24 10:15:34 2008 need 116482 more relations than ideals Thu Jul 24 10:15:34 2008 commencing singleton removal, final pass Thu Jul 24 10:25:44 2008 keeping 25637906 ideals with weight <= 20, new excess is 2836136 Thu Jul 24 10:26:10 2008 memory use: 955.6 MB Thu Jul 24 10:26:10 2008 commencing in-memory singleton removal Thu Jul 24 10:26:15 2008 begin with 32248209 relations and 25637906 unique ideals Thu Jul 24 10:27:11 2008 reduce to 32017534 relations and 25406909 ideals in 12 passes Thu Jul 24 10:27:11 2008 max relations containing the same ideal: 20 Thu Jul 24 10:27:37 2008 removing 2617986 relations and 2217986 ideals in 400000 cliques Thu Jul 24 10:27:39 2008 commencing in-memory singleton removal Thu Jul 24 10:27:44 2008 begin with 29399548 relations and 25406909 unique ideals Thu Jul 24 10:28:14 2008 reduce to 29269113 relations and 23056458 ideals in 7 passes Thu Jul 24 10:28:14 2008 max relations containing the same ideal: 20 Thu Jul 24 10:28:34 2008 removing 1969134 relations and 1569134 ideals in 400000 cliques Thu Jul 24 10:28:35 2008 commencing in-memory singleton removal Thu Jul 24 10:28:39 2008 begin with 27299979 relations and 23056458 unique ideals Thu Jul 24 10:29:06 2008 reduce to 27214868 relations and 21401059 ideals in 7 passes Thu Jul 24 10:29:06 2008 max relations containing the same ideal: 20 Thu Jul 24 10:29:24 2008 removing 1760103 relations and 1360103 ideals in 400000 cliques Thu Jul 24 10:29:25 2008 commencing in-memory singleton removal Thu Jul 24 10:29:29 2008 begin with 25454765 relations and 21401059 unique ideals Thu Jul 24 10:29:51 2008 reduce to 25379173 relations and 19964381 ideals in 6 passes Thu Jul 24 10:29:51 2008 max relations containing the same ideal: 20 Thu Jul 24 10:30:08 2008 removing 1651153 relations and 1251153 ideals in 400000 cliques Thu Jul 24 10:30:09 2008 commencing in-memory singleton removal Thu Jul 24 10:30:12 2008 begin with 23728020 relations and 19964381 unique ideals Thu Jul 24 10:30:32 2008 reduce to 23657668 relations and 18641914 ideals in 6 passes Thu Jul 24 10:30:32 2008 max relations containing the same ideal: 20 Thu Jul 24 10:30:48 2008 removing 1572961 relations and 1172961 ideals in 400000 cliques Thu Jul 24 10:30:49 2008 commencing in-memory singleton removal Thu Jul 24 10:30:52 2008 begin with 22084707 relations and 18641914 unique ideals Thu Jul 24 10:31:16 2008 reduce to 22013507 relations and 17396681 ideals in 8 passes Thu Jul 24 10:31:16 2008 max relations containing the same ideal: 20 Thu Jul 24 10:31:31 2008 removing 1514110 relations and 1114110 ideals in 400000 cliques Thu Jul 24 10:31:32 2008 commencing in-memory singleton removal Thu Jul 24 10:31:35 2008 begin with 20499397 relations and 17396681 unique ideals Thu Jul 24 10:31:52 2008 reduce to 20425449 relations and 16207494 ideals in 6 passes Thu Jul 24 10:31:52 2008 max relations containing the same ideal: 20 Thu Jul 24 10:32:05 2008 removing 1479477 relations and 1079477 ideals in 400000 cliques Thu Jul 24 10:32:06 2008 commencing in-memory singleton removal Thu Jul 24 10:32:09 2008 begin with 18945972 relations and 16207494 unique ideals Thu Jul 24 10:32:24 2008 reduce to 18873617 relations and 15054454 ideals in 6 passes Thu Jul 24 10:32:24 2008 max relations containing the same ideal: 20 Thu Jul 24 10:32:37 2008 removing 1446413 relations and 1046413 ideals in 400000 cliques Thu Jul 24 10:32:38 2008 commencing in-memory singleton removal Thu Jul 24 10:32:40 2008 begin with 17427204 relations and 15054454 unique ideals Thu Jul 24 10:32:54 2008 reduce to 17348495 relations and 13927869 ideals in 6 passes Thu Jul 24 10:32:54 2008 max relations containing the same ideal: 20 Thu Jul 24 10:33:05 2008 removing 576808 relations and 446100 ideals in 130708 cliques Thu Jul 24 10:33:06 2008 commencing in-memory singleton removal Thu Jul 24 10:33:08 2008 begin with 16771687 relations and 13927869 unique ideals Thu Jul 24 10:33:22 2008 reduce to 16760019 relations and 13470020 ideals in 6 passes Thu Jul 24 10:33:22 2008 max relations containing the same ideal: 20 Thu Jul 24 10:33:26 2008 relations with 0 large ideals: 169914 Thu Jul 24 10:33:26 2008 relations with 1 large ideals: 1097198 Thu Jul 24 10:33:26 2008 relations with 2 large ideals: 3052983 Thu Jul 24 10:33:26 2008 relations with 3 large ideals: 4647097 Thu Jul 24 10:33:26 2008 relations with 4 large ideals: 4256824 Thu Jul 24 10:33:26 2008 relations with 5 large ideals: 2433213 Thu Jul 24 10:33:26 2008 relations with 6 large ideals: 875947 Thu Jul 24 10:33:26 2008 relations with 7+ large ideals: 226843 Thu Jul 24 10:33:26 2008 commencing 2-way merge Thu Jul 24 10:33:41 2008 reduce to 11858390 relation sets and 8568391 unique ideals Thu Jul 24 10:33:41 2008 commencing full merge Thu Jul 24 10:36:26 2008 memory use: 869.3 MB Thu Jul 24 10:36:27 2008 found 6145736 cycles, need 5692591 Thu Jul 24 10:36:29 2008 weight of 5692591 cycles is about 398642851 (70.03/cycle) Thu Jul 24 10:36:29 2008 distribution of cycle lengths: Thu Jul 24 10:36:29 2008 1 relations: 596237 Thu Jul 24 10:36:29 2008 2 relations: 698855 Thu Jul 24 10:36:29 2008 3 relations: 719083 Thu Jul 24 10:36:29 2008 4 relations: 678813 Thu Jul 24 10:36:29 2008 5 relations: 630014 Thu Jul 24 10:36:29 2008 6 relations: 559845 Thu Jul 24 10:36:29 2008 7 relations: 486845 Thu Jul 24 10:36:29 2008 8 relations: 409426 Thu Jul 24 10:36:29 2008 9 relations: 335531 Thu Jul 24 10:36:29 2008 10+ relations: 577942 Thu Jul 24 10:36:29 2008 heaviest cycle: 13 relations Thu Jul 24 10:36:30 2008 commencing cycle optimization Thu Jul 24 10:36:39 2008 start with 29286075 relations Thu Jul 24 10:37:38 2008 pruned 524039 relations Thu Jul 24 10:37:38 2008 memory use: 951.9 MB Thu Jul 24 10:37:38 2008 distribution of cycle lengths: Thu Jul 24 10:37:38 2008 1 relations: 596237 Thu Jul 24 10:37:38 2008 2 relations: 707634 Thu Jul 24 10:37:38 2008 3 relations: 737278 Thu Jul 24 10:37:38 2008 4 relations: 692235 Thu Jul 24 10:37:38 2008 5 relations: 646378 Thu Jul 24 10:37:38 2008 6 relations: 570690 Thu Jul 24 10:37:38 2008 7 relations: 495929 Thu Jul 24 10:37:38 2008 8 relations: 411822 Thu Jul 24 10:37:38 2008 9 relations: 331462 Thu Jul 24 10:37:38 2008 10+ relations: 502926 Thu Jul 24 10:37:38 2008 heaviest cycle: 13 relations Thu Jul 24 10:37:51 2008 elapsed time 01:02:48 Thu Jul 24 10:55:12 2008 Thu Jul 24 10:55:12 2008 Thu Jul 24 10:55:12 2008 Msieve v. 1.36 Thu Jul 24 10:55:12 2008 random seeds: 2f7a7271 acbc6321 Thu Jul 24 10:55:12 2008 factoring 8209836131236623540106248032442393614982637631141339598467747244677911494877848116936777629774248859738700738214196985237506543807286694994580847683477459 (154 digits) Thu Jul 24 10:55:13 2008 searching for 15-digit factors Thu Jul 24 10:55:14 2008 commencing number field sieve (154-digit input) Thu Jul 24 10:55:14 2008 R0: -366501892512856641124573959989 Thu Jul 24 10:55:14 2008 R1: 153803794949520818707 Thu Jul 24 10:55:14 2008 A0: -609153808778499403500623798053669920 Thu Jul 24 10:55:14 2008 A1: 988756559882381766374145859260 Thu Jul 24 10:55:14 2008 A2: 6199402379998072308296273 Thu Jul 24 10:55:14 2008 A3: -3390691833060500638 Thu Jul 24 10:55:14 2008 A4: -9008320667086 Thu Jul 24 10:55:14 2008 A5: 1245300 Thu Jul 24 10:55:14 2008 size score = 7.632233e-16, Murphy alpha = -5.440536, combined = 4.680043e-15 Thu Jul 24 10:55:14 2008 Thu Jul 24 10:55:14 2008 commencing linear algebra Thu Jul 24 10:55:16 2008 read 5692591 cycles Thu Jul 24 10:55:46 2008 cycles contain 15341865 unique relations Thu Jul 24 10:58:26 2008 read 15341865 relations Thu Jul 24 10:58:56 2008 using 32 quadratic characters above 536870838 Thu Jul 24 11:01:29 2008 building initial matrix Thu Jul 24 11:06:37 2008 memory use: 2105.9 MB Thu Jul 24 11:06:40 2008 read 5692591 cycles Thu Jul 24 11:06:45 2008 matrix is 5692281 x 5692591 (1728.4 MB) with weight 570268623 (100.18/col) Thu Jul 24 11:06:45 2008 sparse part has weight 384782517 (67.59/col) Thu Jul 24 11:08:37 2008 filtering completed in 3 passes Thu Jul 24 11:08:39 2008 matrix is 5682201 x 5682401 (1727.0 MB) with weight 569682161 (100.25/col) Thu Jul 24 11:08:39 2008 sparse part has weight 384529936 (67.67/col) Thu Jul 24 11:09:35 2008 read 5682401 cycles Thu Jul 24 11:09:39 2008 matrix is 5682201 x 5682401 (1727.0 MB) with weight 569682161 (100.25/col) Thu Jul 24 11:09:39 2008 sparse part has weight 384529936 (67.67/col) Thu Jul 24 11:09:39 2008 saving the first 48 matrix rows for later Thu Jul 24 11:09:41 2008 matrix is 5682153 x 5682401 (1669.0 MB) with weight 443592189 (78.06/col) Thu Jul 24 11:09:41 2008 sparse part has weight 380682577 (66.99/col) Thu Jul 24 11:09:41 2008 matrix includes 64 packed rows Thu Jul 24 11:09:41 2008 using block size 65536 for processor cache size 4096 kB Thu Jul 24 11:10:12 2008 commencing Lanczos iteration (4 threads) Thu Jul 24 11:10:12 2008 memory use: 1731.6 MB Sun Jul 27 16:45:58 2008 lanczos halted after 89856 iterations (dim = 5682150) Sun Jul 27 16:46:11 2008 recovered 40 nontrivial dependencies Sun Jul 27 16:46:12 2008 elapsed time 77:51:00 Sun Jul 27 16:46:12 2008 Sun Jul 27 16:46:12 2008 Sun Jul 27 16:46:12 2008 Msieve v. 1.36 Sun Jul 27 16:46:12 2008 random seeds: 4f9eb0f9 c69b5c7a Sun Jul 27 16:46:12 2008 factoring 8209836131236623540106248032442393614982637631141339598467747244677911494877848116936777629774248859738700738214196985237506543807286694994580847683477459 (154 digits) Sun Jul 27 16:46:13 2008 searching for 15-digit factors Sun Jul 27 16:46:14 2008 commencing number field sieve (154-digit input) Sun Jul 27 16:46:14 2008 R0: -366501892512856641124573959989 Sun Jul 27 16:46:14 2008 R1: 153803794949520818707 Sun Jul 27 16:46:14 2008 A0: -609153808778499403500623798053669920 Sun Jul 27 16:46:14 2008 A1: 988756559882381766374145859260 Sun Jul 27 16:46:14 2008 A2: 6199402379998072308296273 Sun Jul 27 16:46:14 2008 A3: -3390691833060500638 Sun Jul 27 16:46:14 2008 A4: -9008320667086 Sun Jul 27 16:46:14 2008 A5: 1245300 Sun Jul 27 16:46:14 2008 size score = 7.632233e-16, Murphy alpha = -5.440536, combined = 4.680043e-15 Sun Jul 27 16:46:14 2008 Sun Jul 27 16:46:14 2008 commencing square root phase Sun Jul 27 16:46:14 2008 reading relations for dependency 1 Sun Jul 27 16:46:15 2008 read 2839528 cycles Sun Jul 27 16:46:30 2008 cycles contain 9501724 unique relations Sun Jul 27 16:48:43 2008 read 9501724 relations Sun Jul 27 16:50:12 2008 multiplying 14368592 relations Sun Jul 27 18:14:24 2008 multiply complete, coefficients have about 817.17 million bits Sun Jul 27 18:15:03 2008 initial square root is modulo 21440369 Sun Jul 27 20:34:15 2008 reading relations for dependency 2 Sun Jul 27 20:34:17 2008 read 2841381 cycles Sun Jul 27 20:34:28 2008 cycles contain 9504728 unique relations Sun Jul 27 20:36:30 2008 read 9504728 relations Sun Jul 27 20:37:59 2008 multiplying 14375930 relations Sun Jul 27 22:03:01 2008 multiply complete, coefficients have about 817.59 million bits Sun Jul 27 22:03:40 2008 initial square root is modulo 21628877 Mon Jul 28 00:25:30 2008 reading relations for dependency 3 Mon Jul 28 00:25:39 2008 read 2841027 cycles Mon Jul 28 00:25:50 2008 cycles contain 9501574 unique relations Mon Jul 28 00:28:08 2008 read 9501574 relations Mon Jul 28 00:29:36 2008 multiplying 14367656 relations Mon Jul 28 01:53:46 2008 multiply complete, coefficients have about 817.13 million bits Mon Jul 28 01:54:25 2008 initial square root is modulo 21422053 Mon Jul 28 04:13:39 2008 prp77 factor: **************** Mon Jul 28 04:13:39 2008 prp78 factor: **************** Mon Jul 28 04:13:39 2008 elapsed time 11:27:27 |
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#112 |
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"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9,497 Posts |
For what it's worth, lambda-comp failure is a ubiquitous problem.
I've seen it on every platform every once in a while. Another one, "mpqs failed" is when a prime square is passed onto MPQS and it cannot deal with it. However, not only this is rare, but a square of a large prime doesn't create the basis for a relation anyway! So it's ok that these are discarded. A cube of a large prime would have but we'll never see it, I guess.
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#113 |
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Jun 2003
Ottawa, Canada
49516 Posts |
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#114 | |
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Nov 2007
3×52 Posts |
Quote:
Here still examples of numbers. All of them are already made. In these examples it is necessary to pay attention on test1 and test2. With these numbers there were problems and on version 32 bit. I what that by miracle have made for them a polynom. |
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#115 |
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Jun 2003
Ottawa, Canada
3·17·23 Posts |
Right now factMsieve.pl uses this calculation for estimating the min number of relations needed before it starts calling msieve:
Code:
# The below is approx. 0.2*(pi(LPBA) + pi(LPBR)). # It's so small because, for small LPBA, it really overestimates. $MINRELS=int(0.2*1.442695*( (2**$LPBA)/$LPBA + (2**$LPBR)/$LPBR)); For a C130 it estimates around 2.6M relations so it is calling msieve to do post-processing after every range of sieving and wasting quite a bit of time. Even for a C145 it is estimating 5.5M relations. Multiplying this estimate by 2 doesn't seem unreasonable for the ranges I have been trying. |
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#116 | |
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Oct 2004
Austria
46628 Posts |
Quote:
Some estimations, based on runs which I have made (using polynomials found by msieve): Code:
composite rels. needed c99 1.9M - 2M c101 3.77M c103 3.9M c106 4.6M c107 4.65M - 4.75M c112 7.3M c114 7.55M c117 ~8M c118 8.1M c127 10.25M c135 17.7M c136 20.8M |
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#117 | |
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Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2·33·109 Posts |
Quote:
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#118 |
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Oct 2004
Austria
46628 Posts |
With this numbers, duplicate relations are not sorted out yet - the numbers just sum up the relation counts I got when using the gnfs-lasieve4I1?e sievers.
(p.s.: You are the only one in this forum who doesn't use puncuation - sometimes it is a bit difficult to read what you are meaning. At least for questions a question mark ("?") would be fine.) Last fiddled with by Andi47 on 2009-01-18 at 13:55 |
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#119 | |
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Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2·33·109 Posts |
Quote:
I will try to start using punctuation then. |
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#120 | |
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Nov 2008
2×33×43 Posts |
Quote:
P.S. Mods, this is a deletable post and you can feel free to delete it if you think it should go. Last fiddled with by 10metreh on 2009-01-18 at 14:57 |
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#121 |
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Nov 2008
2·33·43 Posts |
Are there any versions of cat.exe floating around? Sander's link near the start of the thread now leads to a 404 in the download.
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