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- Tue Jul 30 08:16:34 2019
- Tue Jul 30 08:16:34 2019
- Tue Jul 30 08:16:34 2019 Msieve v. 1.54 (SVN 1025)
- Tue Jul 30 08:16:34 2019 random seeds: 9f775d29 dd73e37c
- Tue Jul 30 08:16:34 2019 factoring 169974706673285263288980919499331092498050095877424633884803552730801452199885457653752177138760645113718295422328880810431363865378003065866486098515218982857 (159 digits)
- Tue Jul 30 08:16:35 2019 no P-1/P+1/ECM available, skipping
- Tue Jul 30 08:16:35 2019 commencing number field sieve (159-digit input)
- Tue Jul 30 08:16:35 2019 R0: -6268900890322957433591810551043
- Tue Jul 30 08:16:35 2019 R1: 344827110485156923
- Tue Jul 30 08:16:35 2019 A0: -20196349383910319320767025123765445466600
- Tue Jul 30 08:16:35 2019 A1: -3060356335530373313579765241956750
- Tue Jul 30 08:16:35 2019 A2: 7341829016859386246673161
- Tue Jul 30 08:16:35 2019 A3: -19869086818891208634
- Tue Jul 30 08:16:35 2019 A4: 1256067240606
- Tue Jul 30 08:16:35 2019 A5: 17556
- Tue Jul 30 08:16:35 2019 skew 23031215.54, size 1.841e-15, alpha -7.975, combined = 1.607e-12 rroots = 3
- Tue Jul 30 08:16:35 2019
- Tue Jul 30 08:16:35 2019 commencing relation filtering
- Tue Jul 30 08:16:35 2019 setting target matrix density to 130.0
- Tue Jul 30 08:16:35 2019 estimated available RAM is 15464.3 MB
- Tue Jul 30 08:16:35 2019 commencing duplicate removal, pass 1
- Tue Jul 30 08:24:34 2019 skipped 90 relations with composite factors
- Tue Jul 30 08:24:34 2019 found 13110630 hash collisions in 61355845 relations
- Tue Jul 30 08:25:00 2019 added 122032 free relations
- Tue Jul 30 08:25:00 2019 commencing duplicate removal, pass 2
- Tue Jul 30 08:26:06 2019 found 13165341 duplicates and 48312536 unique relations
- Tue Jul 30 08:26:06 2019 memory use: 330.4 MB
- Tue Jul 30 08:26:06 2019 reading ideals above 720000
- Tue Jul 30 08:26:06 2019 commencing singleton removal, initial pass
- Tue Jul 30 08:32:07 2019 memory use: 1378.0 MB
- Tue Jul 30 08:32:07 2019 reading all ideals from disk
- Tue Jul 30 08:32:08 2019 memory use: 1761.3 MB
- Tue Jul 30 08:32:12 2019 keeping 46638559 ideals with weight <= 200, target excess is 263307
- Tue Jul 30 08:32:16 2019 commencing in-memory singleton removal
- Tue Jul 30 08:32:20 2019 begin with 48312536 relations and 46638559 unique ideals
- Tue Jul 30 08:33:02 2019 reduce to 29732157 relations and 26043518 ideals in 15 passes
- Tue Jul 30 08:33:02 2019 max relations containing the same ideal: 153
- Tue Jul 30 08:33:14 2019 removing 2540254 relations and 2140254 ideals in 400000 cliques
- Tue Jul 30 08:33:15 2019 commencing in-memory singleton removal
- Tue Jul 30 08:33:17 2019 begin with 27191903 relations and 26043518 unique ideals
- Tue Jul 30 08:33:33 2019 reduce to 27039327 relations and 23748020 ideals in 7 passes
- Tue Jul 30 08:33:33 2019 max relations containing the same ideal: 146
- Tue Jul 30 08:33:44 2019 removing 1918040 relations and 1518040 ideals in 400000 cliques
- Tue Jul 30 08:33:45 2019 commencing in-memory singleton removal
- Tue Jul 30 08:33:47 2019 begin with 25121287 relations and 23748020 unique ideals
- Tue Jul 30 08:34:01 2019 reduce to 25023649 relations and 22130899 ideals in 7 passes
- Tue Jul 30 08:34:01 2019 max relations containing the same ideal: 136
- Tue Jul 30 08:34:11 2019 removing 1720950 relations and 1320950 ideals in 400000 cliques
- Tue Jul 30 08:34:12 2019 commencing in-memory singleton removal
- Tue Jul 30 08:34:14 2019 begin with 23302699 relations and 22130899 unique ideals
- Tue Jul 30 08:34:27 2019 reduce to 23218460 relations and 20724470 ideals in 7 passes
- Tue Jul 30 08:34:27 2019 max relations containing the same ideal: 130
- Tue Jul 30 08:34:36 2019 removing 1615634 relations and 1215634 ideals in 400000 cliques
- Tue Jul 30 08:34:37 2019 commencing in-memory singleton removal
- Tue Jul 30 08:34:39 2019 begin with 21602826 relations and 20724470 unique ideals
- Tue Jul 30 08:34:51 2019 reduce to 21523982 relations and 19428824 ideals in 7 passes
- Tue Jul 30 08:34:51 2019 max relations containing the same ideal: 127
- Tue Jul 30 08:34:59 2019 removing 1548922 relations and 1148922 ideals in 400000 cliques
- Tue Jul 30 08:35:00 2019 commencing in-memory singleton removal
- Tue Jul 30 08:35:01 2019 begin with 19975060 relations and 19428824 unique ideals
- Tue Jul 30 08:35:13 2019 reduce to 19897609 relations and 18201234 ideals in 7 passes
- Tue Jul 30 08:35:13 2019 max relations containing the same ideal: 120
- Tue Jul 30 08:35:21 2019 removing 1501874 relations and 1101874 ideals in 400000 cliques
- Tue Jul 30 08:35:21 2019 commencing in-memory singleton removal
- Tue Jul 30 08:35:22 2019 begin with 18395735 relations and 18201234 unique ideals
- Tue Jul 30 08:35:32 2019 reduce to 18318200 relations and 17020495 ideals in 7 passes
- Tue Jul 30 08:35:32 2019 max relations containing the same ideal: 110
- Tue Jul 30 08:35:40 2019 removing 1468284 relations and 1068284 ideals in 400000 cliques
- Tue Jul 30 08:35:40 2019 commencing in-memory singleton removal
- Tue Jul 30 08:35:41 2019 begin with 16849916 relations and 17020495 unique ideals
- Tue Jul 30 08:35:51 2019 reduce to 16769887 relations and 15870622 ideals in 7 passes
- Tue Jul 30 08:35:51 2019 max relations containing the same ideal: 102
- Tue Jul 30 08:35:57 2019 removing 1445343 relations and 1045343 ideals in 400000 cliques
- Tue Jul 30 08:35:58 2019 commencing in-memory singleton removal
- Tue Jul 30 08:35:59 2019 begin with 15324544 relations and 15870622 unique ideals
- Tue Jul 30 08:36:07 2019 reduce to 15239658 relations and 14738659 ideals in 7 passes
- Tue Jul 30 08:36:07 2019 max relations containing the same ideal: 99
- Tue Jul 30 08:36:14 2019 removing 798570 relations and 603008 ideals in 195562 cliques
- Tue Jul 30 08:36:14 2019 commencing in-memory singleton removal
- Tue Jul 30 08:36:15 2019 begin with 14441088 relations and 14738659 unique ideals
- Tue Jul 30 08:36:21 2019 reduce to 14414016 relations and 14108267 ideals in 6 passes
- Tue Jul 30 08:36:21 2019 max relations containing the same ideal: 93
- Tue Jul 30 08:36:29 2019 relations with 0 large ideals: 828
- Tue Jul 30 08:36:29 2019 relations with 1 large ideals: 2346
- Tue Jul 30 08:36:29 2019 relations with 2 large ideals: 35329
- Tue Jul 30 08:36:29 2019 relations with 3 large ideals: 263529
- Tue Jul 30 08:36:29 2019 relations with 4 large ideals: 1070211
- Tue Jul 30 08:36:29 2019 relations with 5 large ideals: 2576000
- Tue Jul 30 08:36:29 2019 relations with 6 large ideals: 3878045
- Tue Jul 30 08:36:29 2019 relations with 7+ large ideals: 6587728
- Tue Jul 30 08:36:29 2019 commencing 2-way merge
- Tue Jul 30 08:36:38 2019 reduce to 9800373 relation sets and 9494624 unique ideals
- Tue Jul 30 08:36:38 2019 commencing full merge
- Tue Jul 30 08:40:08 2019 memory use: 1217.6 MB
- Tue Jul 30 08:40:09 2019 found 4285625 cycles, need 4278824
- Tue Jul 30 08:40:11 2019 weight of 4278824 cycles is about 556836534 (130.14/cycle)
- Tue Jul 30 08:40:11 2019 distribution of cycle lengths:
- Tue Jul 30 08:40:11 2019 1 relations: 94249
- Tue Jul 30 08:40:11 2019 2 relations: 225657
- Tue Jul 30 08:40:11 2019 3 relations: 288195
- Tue Jul 30 08:40:11 2019 4 relations: 304714
- Tue Jul 30 08:40:11 2019 5 relations: 318654
- Tue Jul 30 08:40:11 2019 6 relations: 313676
- Tue Jul 30 08:40:11 2019 7 relations: 306057
- Tue Jul 30 08:40:11 2019 8 relations: 294542
- Tue Jul 30 08:40:11 2019 9 relations: 277925
- Tue Jul 30 08:40:11 2019 10+ relations: 1855155
- Tue Jul 30 08:40:11 2019 heaviest cycle: 28 relations
- Tue Jul 30 08:40:12 2019 commencing cycle optimization
- Tue Jul 30 08:40:21 2019 start with 40289568 relations
- Tue Jul 30 08:41:52 2019 pruned 2089324 relations
- Tue Jul 30 08:41:52 2019 memory use: 1016.7 MB
- Tue Jul 30 08:41:52 2019 distribution of cycle lengths:
- Tue Jul 30 08:41:52 2019 1 relations: 94249
- Tue Jul 30 08:41:52 2019 2 relations: 232777
- Tue Jul 30 08:41:52 2019 3 relations: 303190
- Tue Jul 30 08:41:52 2019 4 relations: 320146
- Tue Jul 30 08:41:52 2019 5 relations: 337304
- Tue Jul 30 08:41:52 2019 6 relations: 330781
- Tue Jul 30 08:41:52 2019 7 relations: 323984
- Tue Jul 30 08:41:52 2019 8 relations: 310807
- Tue Jul 30 08:41:52 2019 9 relations: 291743
- Tue Jul 30 08:41:52 2019 10+ relations: 1733843
- Tue Jul 30 08:41:52 2019 heaviest cycle: 28 relations
- Tue Jul 30 08:42:01 2019 RelProcTime: 1526
- Tue Jul 30 08:42:01 2019 elapsed time 00:25:27
- Tue Jul 30 08:43:23 2019 Msieve v. 1.54 (SVN 1025)
- Tue Jul 30 08:43:23 2019 random seeds: db245945 bb61afdf
- Tue Jul 30 08:43:23 2019 factoring 169974706673285263288980919499331092498050095877424633884803552730801452199885457653752177138760645113718295422328880810431363865378003065866486098515218982857 (159 digits)
- Tue Jul 30 08:43:24 2019 no P-1/P+1/ECM available, skipping
- Tue Jul 30 08:43:24 2019 commencing number field sieve (159-digit input)
- Tue Jul 30 08:43:24 2019 R0: -6268900890322957433591810551043
- Tue Jul 30 08:43:24 2019 R1: 344827110485156923
- Tue Jul 30 08:43:24 2019 A0: -20196349383910319320767025123765445466600
- Tue Jul 30 08:43:24 2019 A1: -3060356335530373313579765241956750
- Tue Jul 30 08:43:24 2019 A2: 7341829016859386246673161
- Tue Jul 30 08:43:24 2019 A3: -19869086818891208634
- Tue Jul 30 08:43:24 2019 A4: 1256067240606
- Tue Jul 30 08:43:24 2019 A5: 17556
- Tue Jul 30 08:43:24 2019 skew 23031215.54, size 1.841e-15, alpha -7.975, combined = 1.607e-12 rroots = 3
- Tue Jul 30 08:43:24 2019
- Tue Jul 30 08:43:24 2019 commencing linear algebra
- Tue Jul 30 08:43:24 2019 read 4278824 cycles
- Tue Jul 30 08:43:34 2019 cycles contain 14264488 unique relations
- Tue Jul 30 08:45:20 2019 read 14264488 relations
- Tue Jul 30 08:45:43 2019 using 20 quadratic characters above 4294917295
- Tue Jul 30 08:46:48 2019 building initial matrix
- Tue Jul 30 08:49:57 2019 memory use: 2005.6 MB
- Tue Jul 30 08:49:59 2019 read 4278824 cycles
- Tue Jul 30 08:50:00 2019 matrix is 4278646 x 4278824 (2146.6 MB) with weight 663412003 (155.05/col)
- Tue Jul 30 08:50:00 2019 sparse part has weight 511364752 (119.51/col)
- Tue Jul 30 08:50:49 2019 filtering completed in 2 passes
- Tue Jul 30 08:50:50 2019 matrix is 4278632 x 4278810 (2146.6 MB) with weight 663411359 (155.05/col)
- Tue Jul 30 08:50:50 2019 sparse part has weight 511364616 (119.51/col)
- Tue Jul 30 08:51:04 2019 matrix starts at (0, 0)
- Tue Jul 30 08:51:05 2019 matrix is 4278632 x 4278810 (2146.6 MB) with weight 663411359 (155.05/col)
- Tue Jul 30 08:51:05 2019 sparse part has weight 511364616 (119.51/col)
- Tue Jul 30 08:51:05 2019 saving the first 48 matrix rows for later
- Tue Jul 30 08:51:05 2019 matrix includes 64 packed rows
- Tue Jul 30 08:51:06 2019 matrix is 4278584 x 4278810 (2102.3 MB) with weight 570893702 (133.42/col)
- Tue Jul 30 08:51:06 2019 sparse part has weight 508312514 (118.80/col)
- Tue Jul 30 08:51:06 2019 using block size 8192 and superblock size 2433024 for processor cache size 25344 kB
- Tue Jul 30 08:51:21 2019 commencing Lanczos iteration (4 threads)
- Tue Jul 30 08:51:21 2019 memory use: 1929.1 MB
- Tue Jul 30 08:51:34 2019 linear algebra at 0.0%, ETA 9h23m
- Tue Jul 30 08:51:38 2019 checkpointing every 460000 dimensions
- Tue Jul 30 18:34:04 2019 lanczos halted after 67667 iterations (dim = 4278584)
- Tue Jul 30 18:34:08 2019 recovered 31 nontrivial dependencies
- Tue Jul 30 18:34:08 2019 BLanczosTime: 35444
- Tue Jul 30 18:34:08 2019
- Tue Jul 30 18:34:08 2019 commencing square root phase
- Tue Jul 30 18:34:08 2019 reading relations for dependency 1
- Tue Jul 30 18:34:08 2019 read 2139812 cycles
- Tue Jul 30 18:34:13 2019 cycles contain 7133020 unique relations
- Tue Jul 30 18:35:28 2019 read 7133020 relations
- Tue Jul 30 18:36:02 2019 multiplying 7133020 relations
- Tue Jul 30 18:41:31 2019 multiply complete, coefficients have about 368.46 million bits
- Tue Jul 30 18:41:32 2019 initial square root is modulo 4087663
- Tue Jul 30 18:48:18 2019 GCD is N, no factor found
- Tue Jul 30 18:48:18 2019 reading relations for dependency 2
- Tue Jul 30 18:48:18 2019 read 2138991 cycles
- Tue Jul 30 18:48:23 2019 cycles contain 7132102 unique relations
- Tue Jul 30 18:49:38 2019 read 7132102 relations
- Tue Jul 30 18:50:12 2019 multiplying 7132102 relations
- Tue Jul 30 18:55:41 2019 multiply complete, coefficients have about 368.42 million bits
- Tue Jul 30 18:55:42 2019 initial square root is modulo 4080359
- Tue Jul 30 19:02:28 2019 sqrtTime: 1700
- Tue Jul 30 19:02:28 2019 p79 factor: 2338050383920396591039591839690869204068464795654761292723878000843195924146207
- Tue Jul 30 19:02:28 2019 p80 factor: 72699334386573415320935524713219473387276820933154150199994609780639589507420951
- Tue Jul 30 19:02:28 2019 elapsed time 10:19:05
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