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- Sun Nov 19 17:10:17 2017
- Sun Nov 19 17:10:17 2017
- Sun Nov 19 17:10:17 2017 Msieve v. 1.53 (SVN unknown)
- Sun Nov 19 17:10:17 2017 random seeds: 5bc340b4 8296828e
- Sun Nov 19 17:10:17 2017 factoring 91060763720165285377126505346228004279903307122504528499932944253467342888175907056006335483372796817256769904597568172354122587753038076018610501045590574766358742576863849746407907427282492810892905070774060374711787371 (221 digits)
- Sun Nov 19 17:10:19 2017 searching for 15-digit factors
- Sun Nov 19 17:10:20 2017 commencing number field sieve (221-digit input)
- Sun Nov 19 17:10:20 2017 R0: 47306791574323349111302419726723197703462364929251918941
- Sun Nov 19 17:10:20 2017 R1: -1
- Sun Nov 19 17:10:20 2017 A0: 1
- Sun Nov 19 17:10:20 2017 A1: 1
- Sun Nov 19 17:10:20 2017 A2: 1
- Sun Nov 19 17:10:20 2017 A3: 1
- Sun Nov 19 17:10:20 2017 A4: 1
- Sun Nov 19 17:10:20 2017 skew 1.00, size 1.099e-22, alpha 1.694, combined = 1.583e-13 rroots = 0
- Sun Nov 19 17:10:20 2017
- Sun Nov 19 17:10:20 2017 commencing relation filtering
- Sun Nov 19 17:10:20 2017 setting target matrix density to 100.0
- Sun Nov 19 17:10:20 2017 estimated available RAM is 32721.3 MB
- Sun Nov 19 17:10:20 2017 commencing duplicate removal, pass 1
- Sun Nov 19 17:13:12 2017 error -1 reading relation 11856379
- Sun Nov 19 17:13:24 2017 error -9 reading relation 12653175
- Sun Nov 19 17:13:28 2017 error -9 reading relation 12898078
- Sun Nov 19 17:13:31 2017 error -15 reading relation 13104079
- Sun Nov 19 17:13:31 2017 error -9 reading relation 13129128
- Sun Nov 19 17:14:28 2017 error -9 reading relation 17051848
- Sun Nov 19 18:21:12 2017 error -1 reading relation 289167630
- Sun Nov 19 18:21:12 2017 error -1 reading relation 289168528
- Sun Nov 19 18:21:12 2017 error -1 reading relation 289173846
- Sun Nov 19 18:21:14 2017 error -15 reading relation 289283094
- Sun Nov 19 18:21:15 2017 error -15 reading relation 289377849
- Sun Nov 19 18:21:15 2017 error -9 reading relation 289390814
- Sun Nov 19 18:21:15 2017 error -15 reading relation 289391240
- Sun Nov 19 18:22:13 2017 skipped 2355 relations with b > 2^32
- Sun Nov 19 18:22:13 2017 skipped 12415 relations with composite factors
- Sun Nov 19 18:22:13 2017 found 41419999 hash collisions in 293195900 relations
- Sun Nov 19 18:22:13 2017 commencing duplicate removal, pass 2
- Sun Nov 19 18:27:30 2017 found 31229204 duplicates and 261966696 unique relations
- Sun Nov 19 18:27:30 2017 memory use: 1321.5 MB
- Sun Nov 19 18:27:30 2017 reading ideals above 90112000
- Sun Nov 19 18:27:30 2017 commencing singleton removal, initial pass
- Sun Nov 19 19:15:33 2017 memory use: 6024.0 MB
- Sun Nov 19 19:15:33 2017 reading all ideals from disk
- Sun Nov 19 19:15:36 2017 memory use: 4793.3 MB
- Sun Nov 19 19:15:47 2017 commencing in-memory singleton removal
- Sun Nov 19 19:15:58 2017 begin with 261966696 relations and 267161202 unique ideals
- Sun Nov 19 19:18:06 2017 reduce to 102359277 relations and 78012481 ideals in 22 passes
- Sun Nov 19 19:18:06 2017 max relations containing the same ideal: 25
- Sun Nov 19 19:18:16 2017 reading ideals above 720000
- Sun Nov 19 19:18:16 2017 commencing singleton removal, initial pass
- Sun Nov 19 19:41:44 2017 memory use: 2756.0 MB
- Sun Nov 19 19:41:44 2017 reading all ideals from disk
- Sun Nov 19 19:41:46 2017 memory use: 3995.9 MB
- Sun Nov 19 19:41:57 2017 keeping 87896939 ideals with weight <= 200, target excess is 561438
- Sun Nov 19 19:42:10 2017 commencing in-memory singleton removal
- Sun Nov 19 19:42:18 2017 begin with 102359278 relations and 87896939 unique ideals
- Sun Nov 19 19:43:07 2017 reduce to 102358848 relations and 87896507 ideals in 5 passes
- Sun Nov 19 19:43:07 2017 max relations containing the same ideal: 200
- Sun Nov 19 19:43:59 2017 removing 14352469 relations and 12352469 ideals in 2000000 cliques
- Sun Nov 19 19:44:04 2017 commencing in-memory singleton removal
- Sun Nov 19 19:44:12 2017 begin with 88006379 relations and 87896507 unique ideals
- Sun Nov 19 19:45:34 2017 reduce to 86558310 relations and 74057894 ideals in 10 passes
- Sun Nov 19 19:45:34 2017 max relations containing the same ideal: 189
- Sun Nov 19 19:46:19 2017 removing 10398741 relations and 8398741 ideals in 2000000 cliques
- Sun Nov 19 19:46:22 2017 commencing in-memory singleton removal
- Sun Nov 19 19:46:29 2017 begin with 76159569 relations and 74057894 unique ideals
- Sun Nov 19 19:47:38 2017 reduce to 75213215 relations and 64690165 ideals in 10 passes
- Sun Nov 19 19:47:38 2017 max relations containing the same ideal: 173
- Sun Nov 19 19:48:17 2017 removing 9191158 relations and 7191158 ideals in 2000000 cliques
- Sun Nov 19 19:48:20 2017 commencing in-memory singleton removal
- Sun Nov 19 19:48:26 2017 begin with 66022057 relations and 64690165 unique ideals
- Sun Nov 19 19:49:20 2017 reduce to 65156587 relations and 56611245 ideals in 9 passes
- Sun Nov 19 19:49:20 2017 max relations containing the same ideal: 160
- Sun Nov 19 19:49:54 2017 removing 8582580 relations and 6582580 ideals in 2000000 cliques
- Sun Nov 19 19:49:57 2017 commencing in-memory singleton removal
- Sun Nov 19 19:50:02 2017 begin with 56574007 relations and 56611245 unique ideals
- Sun Nov 19 19:50:53 2017 reduce to 55707520 relations and 49137109 ideals in 10 passes
- Sun Nov 19 19:50:53 2017 max relations containing the same ideal: 147
- Sun Nov 19 19:51:22 2017 removing 8230348 relations and 6230348 ideals in 2000000 cliques
- Sun Nov 19 19:51:24 2017 commencing in-memory singleton removal
- Sun Nov 19 19:51:28 2017 begin with 47477172 relations and 49137109 unique ideals
- Sun Nov 19 19:52:06 2017 reduce to 46552284 relations and 41951319 ideals in 9 passes
- Sun Nov 19 19:52:06 2017 max relations containing the same ideal: 126
- Sun Nov 19 19:52:30 2017 removing 8012622 relations and 6012622 ideals in 2000000 cliques
- Sun Nov 19 19:52:33 2017 commencing in-memory singleton removal
- Sun Nov 19 19:52:36 2017 begin with 38539662 relations and 41951319 unique ideals
- Sun Nov 19 19:53:05 2017 reduce to 37494050 relations and 34851715 ideals in 9 passes
- Sun Nov 19 19:53:05 2017 max relations containing the same ideal: 109
- Sun Nov 19 19:53:25 2017 removing 7840753 relations and 5849687 ideals in 1991066 cliques
- Sun Nov 19 19:53:28 2017 commencing in-memory singleton removal
- Sun Nov 19 19:53:30 2017 begin with 29653297 relations and 34851715 unique ideals
- Sun Nov 19 19:53:52 2017 reduce to 28408195 relations and 27695368 ideals in 9 passes
- Sun Nov 19 19:53:52 2017 max relations containing the same ideal: 92
- Sun Nov 19 19:54:08 2017 removing 508403 relations and 446845 ideals in 61558 cliques
- Sun Nov 19 19:54:08 2017 commencing in-memory singleton removal
- Sun Nov 19 19:54:10 2017 begin with 27899792 relations and 27695368 unique ideals
- Sun Nov 19 19:54:27 2017 reduce to 27894051 relations and 27242769 ideals in 7 passes
- Sun Nov 19 19:54:27 2017 max relations containing the same ideal: 91
- Sun Nov 19 19:54:34 2017 relations with 0 large ideals: 39996
- Sun Nov 19 19:54:34 2017 relations with 1 large ideals: 5996
- Sun Nov 19 19:54:34 2017 relations with 2 large ideals: 75084
- Sun Nov 19 19:54:34 2017 relations with 3 large ideals: 564907
- Sun Nov 19 19:54:34 2017 relations with 4 large ideals: 2284404
- Sun Nov 19 19:54:34 2017 relations with 5 large ideals: 6326612
- Sun Nov 19 19:54:34 2017 relations with 6 large ideals: 7225600
- Sun Nov 19 19:54:34 2017 relations with 7+ large ideals: 11371452
- Sun Nov 19 19:54:34 2017 commencing 2-way merge
- Sun Nov 19 19:54:53 2017 reduce to 16438167 relation sets and 15786885 unique ideals
- Sun Nov 19 19:54:53 2017 commencing full merge
- Sun Nov 19 20:01:54 2017 memory use: 2105.3 MB
- Sun Nov 19 20:01:57 2017 found 7861165 cycles, need 7821085
- Sun Nov 19 20:01:57 2017 weight of 7821085 cycles is about 782695973 (100.08/cycle)
- Sun Nov 19 20:01:57 2017 distribution of cycle lengths:
- Sun Nov 19 20:01:57 2017 1 relations: 596824
- Sun Nov 19 20:01:57 2017 2 relations: 618862
- Sun Nov 19 20:01:57 2017 3 relations: 622484
- Sun Nov 19 20:01:57 2017 4 relations: 620522
- Sun Nov 19 20:01:57 2017 5 relations: 607105
- Sun Nov 19 20:01:57 2017 6 relations: 579581
- Sun Nov 19 20:01:57 2017 7 relations: 547739
- Sun Nov 19 20:01:57 2017 8 relations: 509314
- Sun Nov 19 20:01:57 2017 9 relations: 465910
- Sun Nov 19 20:01:57 2017 10+ relations: 2652744
- Sun Nov 19 20:01:57 2017 heaviest cycle: 28 relations
- Sun Nov 19 20:01:59 2017 commencing cycle optimization
- Sun Nov 19 20:02:13 2017 start with 62684636 relations
- Sun Nov 19 20:04:54 2017 pruned 2219655 relations
- Sun Nov 19 20:04:54 2017 memory use: 1787.6 MB
- Sun Nov 19 20:04:54 2017 distribution of cycle lengths:
- Sun Nov 19 20:04:54 2017 1 relations: 596824
- Sun Nov 19 20:04:54 2017 2 relations: 629303
- Sun Nov 19 20:04:54 2017 3 relations: 643313
- Sun Nov 19 20:04:54 2017 4 relations: 639883
- Sun Nov 19 20:04:54 2017 5 relations: 629861
- Sun Nov 19 20:04:54 2017 6 relations: 600103
- Sun Nov 19 20:04:54 2017 7 relations: 568480
- Sun Nov 19 20:04:54 2017 8 relations: 525830
- Sun Nov 19 20:04:54 2017 9 relations: 479060
- Sun Nov 19 20:04:54 2017 10+ relations: 2508428
- Sun Nov 19 20:04:54 2017 heaviest cycle: 28 relations
- Sun Nov 19 20:05:07 2017 RelProcTime: 10487
- Sun Nov 19 20:05:07 2017
- Sun Nov 19 20:05:07 2017 commencing linear algebra
- Sun Nov 19 20:05:08 2017 read 7821085 cycles
- Sun Nov 19 20:05:27 2017 cycles contain 27416445 unique relations
- Sun Nov 19 20:11:27 2017 read 27416445 relations
- Sun Nov 19 20:12:23 2017 using 20 quadratic characters above 4294917295
- Sun Nov 19 20:14:24 2017 building initial matrix
- Sun Nov 19 20:19:33 2017 memory use: 3379.7 MB
- Sun Nov 19 20:19:54 2017 read 7821085 cycles
- Sun Nov 19 20:19:56 2017 matrix is 7820907 x 7821085 (3174.5 MB) with weight 912067262 (116.62/col)
- Sun Nov 19 20:19:56 2017 sparse part has weight 746155375 (95.40/col)
- Sun Nov 19 20:21:43 2017 filtering completed in 2 passes
- Sun Nov 19 20:21:46 2017 matrix is 7820209 x 7820387 (3174.5 MB) with weight 912043404 (116.62/col)
- Sun Nov 19 20:21:46 2017 sparse part has weight 746146842 (95.41/col)
- Sun Nov 19 20:22:07 2017 matrix starts at (0, 0)
- Sun Nov 19 20:22:10 2017 matrix is 7820209 x 7820387 (3174.5 MB) with weight 912043404 (116.62/col)
- Sun Nov 19 20:22:10 2017 sparse part has weight 746146842 (95.41/col)
- Sun Nov 19 20:22:10 2017 saving the first 48 matrix rows for later
- Sun Nov 19 20:22:12 2017 matrix includes 64 packed rows
- Sun Nov 19 20:22:14 2017 matrix is 7820161 x 7820387 (3039.1 MB) with weight 771249448 (98.62/col)
- Sun Nov 19 20:22:14 2017 sparse part has weight 718469360 (91.87/col)
- Sun Nov 19 20:22:14 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sun Nov 19 20:23:01 2017 commencing Lanczos iteration (6 threads)
- Sun Nov 19 20:23:01 2017 memory use: 2569.9 MB
- Sun Nov 19 20:23:38 2017 linear algebra at 0.0%, ETA 50h 4m
- Sun Nov 19 20:23:50 2017 checkpointing every 160000 dimensions
- Tue Nov 21 23:55:05 2017 lanczos halted after 123670 iterations (dim = 7820159)
- Tue Nov 21 23:55:15 2017 recovered 35 nontrivial dependencies
- Tue Nov 21 23:55:22 2017 BLanczosTime: 186615
- Tue Nov 21 23:55:22 2017
- Tue Nov 21 23:55:22 2017 commencing square root phase
- Tue Nov 21 23:55:22 2017 handling dependencies 1 to 64
- Tue Nov 21 23:55:22 2017 reading relations for dependency 1
- Tue Nov 21 23:55:24 2017 read 3911330 cycles
- Tue Nov 21 23:55:33 2017 cycles contain 13710056 unique relations
- Wed Nov 22 00:02:20 2017 read 13710056 relations
- Wed Nov 22 00:03:39 2017 multiplying 13710056 relations
- Wed Nov 22 00:08:36 2017 multiply complete, coefficients have about 357.49 million bits
- Wed Nov 22 00:08:38 2017 initial square root is modulo 2597093
- Wed Nov 22 00:15:35 2017 sqrtTime: 1213
- Wed Nov 22 00:15:35 2017 p47 factor: 21772216960834806224487967871473176857756729891
- Wed Nov 22 00:15:35 2017 p175 factor: 4182429556161917245112740601227598656069592376981401111311120523661003885031813158680936757414863529587165418173365083289474648930625024240428689551999738035829245075739168281
- Wed Nov 22 00:15:35 2017 elapsed time 55:05:18
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