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- Sun Mar 29 20:04:36 2015
- Sun Mar 29 20:04:36 2015 Msieve v. 1.52 (SVN 956M)
- Sun Mar 29 20:04:36 2015 random seeds: 23c8e229 b59815d1
- Sun Mar 29 20:04:36 2015 factoring 511714138028156117181562830338730943776387239213733268682097474235253208588992138069933090930995821535903065522310439499781235719365131898237511037746676378948975788979066064316710627428640989430403070377 (204 digits)
- Sun Mar 29 20:04:37 2015 no P-1/P+1/ECM available, skipping
- Sun Mar 29 20:04:37 2015 commencing number field sieve (204-digit input)
- Sun Mar 29 20:04:37 2015 R0: -43556142965880123323311949751266331066368
- Sun Mar 29 20:04:37 2015 R1: 1
- Sun Mar 29 20:04:37 2015 A0: -1
- Sun Mar 29 20:04:37 2015 A1: 0
- Sun Mar 29 20:04:37 2015 A2: 0
- Sun Mar 29 20:04:37 2015 A3: 0
- Sun Mar 29 20:04:37 2015 A4: 0
- Sun Mar 29 20:04:37 2015 A5: 0
- Sun Mar 29 20:04:37 2015 A6: 13024
- Sun Mar 29 20:04:37 2015 skew 1.00, size 2.493e-12, alpha -0.410, combined = 2.130e-13 rroots = 2
- Sun Mar 29 20:04:37 2015
- Sun Mar 29 20:04:37 2015 commencing relation filtering
- Sun Mar 29 20:04:37 2015 estimated available RAM is 15966.4 MB
- Sun Mar 29 20:04:37 2015 commencing duplicate removal, pass 1
- Sun Mar 29 20:05:59 2015 error -1 reading relation 22015252
- Sun Mar 29 20:07:51 2015 error -9 reading relation 51868824
- Sun Mar 29 20:09:39 2015 error -9 reading relation 80685832
- Sun Mar 29 20:09:39 2015 error -9 reading relation 80686368
- Sun Mar 29 20:11:20 2015 error -9 reading relation 107854988
- Sun Mar 29 20:11:20 2015 error -9 reading relation 107859554
- Sun Mar 29 20:11:42 2015 error -9 reading relation 113734163
- Sun Mar 29 20:11:42 2015 error -9 reading relation 113929499
- Sun Mar 29 20:11:43 2015 error -9 reading relation 114152838
- Sun Mar 29 20:13:50 2015 error -15 reading relation 147982114
- Sun Mar 29 20:14:01 2015 error -15 reading relation 150967149
- Sun Mar 29 20:14:04 2015 error -9 reading relation 151578121
- Sun Mar 29 20:14:16 2015 error -1 reading relation 154891466
- Sun Mar 29 20:14:16 2015 error -1 reading relation 154891467
- Sun Mar 29 20:14:39 2015 error -1 reading relation 161109005
- Sun Mar 29 20:14:39 2015 error -1 reading relation 161168737
- Sun Mar 29 20:14:49 2015 error -15 reading relation 163811529
- Sun Mar 29 20:14:49 2015 error -11 reading relation 163817932
- Sun Mar 29 20:15:16 2015 error -9 reading relation 171378379
- Sun Mar 29 20:15:17 2015 error -9 reading relation 171660243
- Sun Mar 29 20:15:22 2015 error -5 reading relation 173050555
- Sun Mar 29 20:15:22 2015 error -1 reading relation 173210399
- Sun Mar 29 20:15:25 2015 error -9 reading relation 173947174
- Sun Mar 29 20:15:28 2015 error -9 reading relation 174861006
- Sun Mar 29 20:15:39 2015 error -9 reading relation 177901162
- Sun Mar 29 20:15:41 2015 error -15 reading relation 178455488
- Sun Mar 29 20:16:09 2015 error -15 reading relation 186159155
- Sun Mar 29 20:16:14 2015 error -9 reading relation 187599362
- Sun Mar 29 20:16:16 2015 error -15 reading relation 188052361
- Sun Mar 29 20:16:18 2015 error -15 reading relation 188727780
- Sun Mar 29 20:16:24 2015 error -9 reading relation 190437158
- Sun Mar 29 20:16:35 2015 error -15 reading relation 193585326
- Sun Mar 29 20:16:44 2015 error -15 reading relation 195971926
- Sun Mar 29 20:16:50 2015 error -9 reading relation 197514990
- Sun Mar 29 20:16:50 2015 error -5 reading relation 197557821
- Sun Mar 29 20:16:50 2015 error -9 reading relation 197577985
- Sun Mar 29 20:16:52 2015 error -15 reading relation 198209567
- Sun Mar 29 20:16:58 2015 error -9 reading relation 199734600
- Sun Mar 29 20:16:58 2015 error -9 reading relation 199947211
- Sun Mar 29 20:16:59 2015 error -15 reading relation 200066404
- Sun Mar 29 20:17:01 2015 error -5 reading relation 200743846
- Sun Mar 29 20:17:04 2015 error -9 reading relation 201595162
- Sun Mar 29 20:17:20 2015 error -9 reading relation 205840706
- Sun Mar 29 20:17:21 2015 error -9 reading relation 206246508
- Sun Mar 29 20:17:23 2015 error -15 reading relation 206729659
- Sun Mar 29 20:17:25 2015 error -15 reading relation 207230111
- Sun Mar 29 20:17:39 2015 error -9 reading relation 211349746
- Sun Mar 29 20:17:49 2015 error -15 reading relation 214075211
- Sun Mar 29 20:17:57 2015 skipped 766 relations with b > 2^32
- Sun Mar 29 20:17:57 2015 found 44671574 hash collisions in 216115217 relations
- Sun Mar 29 20:18:09 2015 added 1217351 free relations
- Sun Mar 29 20:18:09 2015 commencing duplicate removal, pass 2
- Sun Mar 29 20:19:08 2015 found 45511992 duplicates and 171820576 unique relations
- Sun Mar 29 20:19:08 2015 memory use: 1321.5 MB
- Sun Mar 29 20:19:08 2015 reading ideals above 179896320
- Sun Mar 29 20:19:08 2015 commencing singleton removal, initial pass
- Sun Mar 29 20:31:25 2015 memory use: 3012.0 MB
- Sun Mar 29 20:31:25 2015 reading all ideals from disk
- Sun Mar 29 20:31:30 2015 memory use: 2810.7 MB
- Sun Mar 29 20:31:35 2015 commencing in-memory singleton removal
- Sun Mar 29 20:31:39 2015 begin with 171820576 relations and 149949809 unique ideals
- Sun Mar 29 20:32:27 2015 reduce to 96298179 relations and 65083558 ideals in 18 passes
- Sun Mar 29 20:32:27 2015 max relations containing the same ideal: 27
- Sun Mar 29 20:32:30 2015 reading ideals above 720000
- Sun Mar 29 20:32:31 2015 commencing singleton removal, initial pass
- Sun Mar 29 20:41:27 2015 memory use: 2756.0 MB
- Sun Mar 29 20:41:27 2015 reading all ideals from disk
- Sun Mar 29 20:41:33 2015 memory use: 3788.2 MB
- Sun Mar 29 20:41:43 2015 keeping 84630403 ideals with weight <= 200, target excess is 491310
- Sun Mar 29 20:41:52 2015 commencing in-memory singleton removal
- Sun Mar 29 20:41:58 2015 begin with 96298179 relations and 84630403 unique ideals
- Sun Mar 29 20:42:59 2015 reduce to 96231029 relations and 84563178 ideals in 10 passes
- Sun Mar 29 20:42:59 2015 max relations containing the same ideal: 200
- Sun Mar 29 20:43:33 2015 removing 12186902 relations and 10186902 ideals in 2000000 cliques
- Sun Mar 29 20:43:35 2015 commencing in-memory singleton removal
- Sun Mar 29 20:43:40 2015 begin with 84044127 relations and 84563178 unique ideals
- Sun Mar 29 20:44:28 2015 reduce to 82898748 relations and 73200713 ideals in 9 passes
- Sun Mar 29 20:44:28 2015 max relations containing the same ideal: 190
- Sun Mar 29 20:44:57 2015 removing 9228392 relations and 7228392 ideals in 2000000 cliques
- Sun Mar 29 20:44:59 2015 commencing in-memory singleton removal
- Sun Mar 29 20:45:03 2015 begin with 73670356 relations and 73200713 unique ideals
- Sun Mar 29 20:45:45 2015 reduce to 72896868 relations and 65180076 ideals in 9 passes
- Sun Mar 29 20:45:45 2015 max relations containing the same ideal: 176
- Sun Mar 29 20:46:11 2015 removing 8328868 relations and 6328868 ideals in 2000000 cliques
- Sun Mar 29 20:46:13 2015 commencing in-memory singleton removal
- Sun Mar 29 20:46:17 2015 begin with 64568000 relations and 65180076 unique ideals
- Sun Mar 29 20:46:49 2015 reduce to 63859752 relations and 58125063 ideals in 8 passes
- Sun Mar 29 20:46:49 2015 max relations containing the same ideal: 166
- Sun Mar 29 20:47:11 2015 removing 7870621 relations and 5870621 ideals in 2000000 cliques
- Sun Mar 29 20:47:13 2015 commencing in-memory singleton removal
- Sun Mar 29 20:47:17 2015 begin with 55989131 relations and 58125063 unique ideals
- Sun Mar 29 20:47:48 2015 reduce to 55281145 relations and 51526906 ideals in 9 passes
- Sun Mar 29 20:47:48 2015 max relations containing the same ideal: 150
- Sun Mar 29 20:48:08 2015 removing 7585505 relations and 5585505 ideals in 2000000 cliques
- Sun Mar 29 20:48:09 2015 commencing in-memory singleton removal
- Sun Mar 29 20:48:12 2015 begin with 47695640 relations and 51526906 unique ideals
- Sun Mar 29 20:48:36 2015 reduce to 46948013 relations and 45169868 ideals in 8 passes
- Sun Mar 29 20:48:36 2015 max relations containing the same ideal: 131
- Sun Mar 29 20:48:52 2015 removing 4975805 relations and 3767580 ideals in 1208225 cliques
- Sun Mar 29 20:48:54 2015 commencing in-memory singleton removal
- Sun Mar 29 20:48:56 2015 begin with 41972208 relations and 45169868 unique ideals
- Sun Mar 29 20:49:17 2015 reduce to 41609300 relations and 41031251 ideals in 8 passes
- Sun Mar 29 20:49:17 2015 max relations containing the same ideal: 124
- Sun Mar 29 20:49:32 2015 removing 68071 relations and 59942 ideals in 8129 cliques
- Sun Mar 29 20:49:33 2015 commencing in-memory singleton removal
- Sun Mar 29 20:49:35 2015 begin with 41541229 relations and 41031251 unique ideals
- Sun Mar 29 20:49:46 2015 reduce to 41541162 relations and 40971242 ideals in 4 passes
- Sun Mar 29 20:49:46 2015 max relations containing the same ideal: 123
- Sun Mar 29 20:49:52 2015 relations with 0 large ideals: 18740
- Sun Mar 29 20:49:52 2015 relations with 1 large ideals: 4147
- Sun Mar 29 20:49:52 2015 relations with 2 large ideals: 59243
- Sun Mar 29 20:49:52 2015 relations with 3 large ideals: 488203
- Sun Mar 29 20:49:52 2015 relations with 4 large ideals: 2188868
- Sun Mar 29 20:49:52 2015 relations with 5 large ideals: 5906555
- Sun Mar 29 20:49:52 2015 relations with 6 large ideals: 10038412
- Sun Mar 29 20:49:52 2015 relations with 7+ large ideals: 22836994
- Sun Mar 29 20:49:52 2015 commencing 2-way merge
- Sun Mar 29 20:50:11 2015 reduce to 26961442 relation sets and 26391522 unique ideals
- Sun Mar 29 20:50:11 2015 commencing full merge
- Sun Mar 29 20:54:39 2015 memory use: 3239.5 MB
- Sun Mar 29 20:54:41 2015 found 14609754 cycles, need 14531722
- Sun Mar 29 20:54:45 2015 weight of 14531722 cycles is about 1017547292 (70.02/cycle)
- Sun Mar 29 20:54:45 2015 distribution of cycle lengths:
- Sun Mar 29 20:54:45 2015 1 relations: 1713065
- Sun Mar 29 20:54:45 2015 2 relations: 1824213
- Sun Mar 29 20:54:45 2015 3 relations: 1837645
- Sun Mar 29 20:54:45 2015 4 relations: 1698159
- Sun Mar 29 20:54:45 2015 5 relations: 1543846
- Sun Mar 29 20:54:45 2015 6 relations: 1348487
- Sun Mar 29 20:54:45 2015 7 relations: 1149883
- Sun Mar 29 20:54:45 2015 8 relations: 937702
- Sun Mar 29 20:54:45 2015 9 relations: 731556
- Sun Mar 29 20:54:45 2015 10+ relations: 1747166
- Sun Mar 29 20:54:45 2015 heaviest cycle: 20 relations
- Sun Mar 29 20:54:48 2015 commencing cycle optimization
- Sun Mar 29 20:55:03 2015 start with 76221403 relations
- Sun Mar 29 20:56:12 2015 pruned 1843369 relations
- Sun Mar 29 20:56:12 2015 memory use: 2507.0 MB
- Sun Mar 29 20:56:12 2015 distribution of cycle lengths:
- Sun Mar 29 20:56:12 2015 1 relations: 1713065
- Sun Mar 29 20:56:12 2015 2 relations: 1859766
- Sun Mar 29 20:56:12 2015 3 relations: 1900567
- Sun Mar 29 20:56:12 2015 4 relations: 1738944
- Sun Mar 29 20:56:12 2015 5 relations: 1584005
- Sun Mar 29 20:56:12 2015 6 relations: 1370339
- Sun Mar 29 20:56:12 2015 7 relations: 1161552
- Sun Mar 29 20:56:12 2015 8 relations: 930875
- Sun Mar 29 20:56:12 2015 9 relations: 714654
- Sun Mar 29 20:56:12 2015 10+ relations: 1557955
- Sun Mar 29 20:56:12 2015 heaviest cycle: 20 relations
- Sun Mar 29 20:56:28 2015 RelProcTime: 3111
- Sun Mar 29 20:56:28 2015
- Sun Mar 29 20:56:28 2015 commencing linear algebra
- Sun Mar 29 20:56:34 2015 read 14531722 cycles
- Sun Mar 29 20:56:48 2015 cycles contain 41167080 unique relations
- Sun Mar 29 20:59:32 2015 read 41167080 relations
- Sun Mar 29 21:00:09 2015 using 20 quadratic characters above 2147482950
- Sun Mar 29 21:02:14 2015 building initial matrix
- Sun Mar 29 21:06:31 2015 memory use: 5407.6 MB
- Sun Mar 29 21:06:35 2015 read 14531722 cycles
- Sun Mar 29 21:06:36 2015 matrix is 14531544 x 14531722 (4315.4 MB) with weight 1280440641 (88.11/col)
- Sun Mar 29 21:06:36 2015 sparse part has weight 985929130 (67.85/col)
- Sun Mar 29 21:08:14 2015 filtering completed in 2 passes
- Sun Mar 29 21:08:15 2015 matrix is 14528846 x 14529024 (4315.2 MB) with weight 1280372527 (88.13/col)
- Sun Mar 29 21:08:15 2015 sparse part has weight 985914241 (67.86/col)
- Sun Mar 29 21:08:48 2015 matrix starts at (0, 0)
- Sun Mar 29 21:08:49 2015 matrix is 14528846 x 14529024 (4315.2 MB) with weight 1280372527 (88.13/col)
- Sun Mar 29 21:08:49 2015 sparse part has weight 985914241 (67.86/col)
- Sun Mar 29 21:08:49 2015 saving the first 48 matrix rows for later
- Sun Mar 29 21:08:50 2015 matrix includes 64 packed rows
- Sun Mar 29 21:08:51 2015 matrix is 14528798 x 14529024 (4169.4 MB) with weight 1016575167 (69.97/col)
- Sun Mar 29 21:08:51 2015 sparse part has weight 947700545 (65.23/col)
- Sun Mar 29 21:08:52 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sun Mar 29 21:09:24 2015 commencing Lanczos iteration (4 threads)
- Sun Mar 29 21:09:24 2015 memory use: 3496.1 MB
- Sun Mar 29 21:10:17 2015 linear algebra at 0.0%, ETA 135h40m
- Sun Mar 29 21:10:34 2015 checkpointing every 110000 dimensions
- Fri Apr 3 15:31:55 2015 lanczos halted after 229766 iterations (dim = 14528797)
- Fri Apr 3 15:32:06 2015 recovered 34 nontrivial dependencies
- Fri Apr 3 15:32:06 2015 BLanczosTime: 412538
- Fri Apr 3 15:32:06 2015
- Fri Apr 3 15:32:06 2015 commencing square root phase
- Fri Apr 3 15:32:06 2015 reading relations for dependency 1
- Fri Apr 3 15:32:07 2015 read 7266393 cycles
- Fri Apr 3 15:32:14 2015 cycles contain 20588120 unique relations
- Fri Apr 3 15:33:40 2015 read 20588120 relations
- Fri Apr 3 15:34:37 2015 multiplying 20588120 relations
- Fri Apr 3 15:51:56 2015 multiply complete, coefficients have about 773.18 million bits
- Fri Apr 3 15:51:58 2015 initial square root is modulo 8640859
- Fri Apr 3 16:11:10 2015 GCD is N, no factor found
- Fri Apr 3 16:11:10 2015 reading relations for dependency 2
- Fri Apr 3 16:11:11 2015 read 7265551 cycles
- Fri Apr 3 16:11:17 2015 cycles contain 20583950 unique relations
- Fri Apr 3 16:12:43 2015 read 20583950 relations
- Fri Apr 3 16:13:40 2015 multiplying 20583950 relations
- Fri Apr 3 16:31:00 2015 multiply complete, coefficients have about 773.02 million bits
- Fri Apr 3 16:31:02 2015 initial square root is modulo 8613733
- Fri Apr 3 16:50:04 2015 GCD is N, no factor found
- Fri Apr 3 16:50:04 2015 reading relations for dependency 3
- Fri Apr 3 16:50:05 2015 read 7262846 cycles
- Fri Apr 3 16:50:12 2015 cycles contain 20575046 unique relations
- Fri Apr 3 16:51:37 2015 read 20575046 relations
- Fri Apr 3 16:52:34 2015 multiplying 20575046 relations
- Fri Apr 3 17:09:55 2015 multiply complete, coefficients have about 772.69 million bits
- Fri Apr 3 17:09:56 2015 initial square root is modulo 8553967
- Fri Apr 3 17:28:59 2015 sqrtTime: 7013
- Fri Apr 3 17:28:59 2015 prp67 factor: 1745527632262016353194019684578402590775589180204584997599301577803
- Fri Apr 3 17:28:59 2015 prp138 factor: 293157282972959613958560737982488626258500094926196403541810679813690190472159111662073703194309286876525283031618892229007273851420660059
- Fri Apr 3 17:28:59 2015 elapsed time 117:24:23
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