Fri Jun 04 12:47:42 2021 Fri Jun 04 12:47:42 2021 Fri Jun 04 12:47:42 2021 Msieve v. 1.52 (SVN unknown) Fri Jun 04 12:47:42 2021 random seeds: c2244f78 51b52631 Fri Jun 04 12:47:42 2021 factoring 100669439235992085133501953958661412798095282801990550945314678303346789681785669272661584593529037786603193246144217682475591862308296192759492250153493681387158783806505029819990040107124393193594205082144790139 (213 digits) Fri Jun 04 12:47:44 2021 no P-1/P+1/ECM available, skipping Fri Jun 04 12:47:44 2021 commencing number field sieve (213-digit input) Fri Jun 04 12:47:44 2021 R0: -45671926060252476630107084286792841360213803007 Fri Jun 04 12:47:44 2021 R1: 1 Fri Jun 04 12:47:44 2021 A0: 2147483647 Fri Jun 04 12:47:44 2021 A1: 0 Fri Jun 04 12:47:44 2021 A2: 0 Fri Jun 04 12:47:44 2021 A3: 0 Fri Jun 04 12:47:44 2021 A4: 0 Fri Jun 04 12:47:44 2021 A5: 0 Fri Jun 04 12:47:44 2021 A6: 1 Fri Jun 04 12:47:44 2021 skew 48.49, size 8.017e-015, alpha 2.035, combined = 3.456e-015 rroots = 0 Fri Jun 04 12:47:44 2021 Fri Jun 04 12:47:44 2021 commencing relation filtering Fri Jun 04 12:47:44 2021 setting target matrix density to 120.0 Fri Jun 04 12:47:44 2021 estimated available RAM is 130978.7 MB Fri Jun 04 12:47:44 2021 commencing duplicate removal, pass 1 Fri Jun 04 12:49:48 2021 error -11 reading relation 14266119 Fri Jun 04 12:54:28 2021 error -1 reading relation 46475919 Fri Jun 04 12:54:38 2021 error -5 reading relation 47591393 Fri Jun 04 12:54:41 2021 error -1 reading relation 47981682 Fri Jun 04 12:54:44 2021 error -11 reading relation 48288969 Fri Jun 04 14:22:15 2021 error -11 reading relation 649262289 Fri Jun 04 14:22:21 2021 error -1 reading relation 649949869 Fri Jun 04 14:22:28 2021 error -1 reading relation 650674343 Fri Jun 04 14:22:31 2021 error -11 reading relation 650990746 Fri Jun 04 14:22:40 2021 error -1 reading relation 652023064 Fri Jun 04 14:23:10 2021 skipped 567 relations with b > 2^32 Fri Jun 04 14:23:10 2021 found 97283754 hash collisions in 653899034 relations Fri Jun 04 14:23:29 2021 commencing duplicate removal, pass 2 Fri Jun 04 14:28:52 2021 found 28431903 duplicates and 625467131 unique relations Fri Jun 04 14:28:52 2021 memory use: 4262.0 MB Fri Jun 04 14:28:52 2021 reading ideals above 491847680 Fri Jun 04 14:28:52 2021 commencing singleton removal, initial pass Fri Jun 04 16:13:01 2021 memory use: 11024.0 MB Fri Jun 04 16:13:02 2021 reading all ideals from disk Fri Jun 04 16:13:07 2021 memory use: 11862.0 MB Fri Jun 04 16:13:49 2021 commencing in-memory singleton removal Fri Jun 04 16:14:43 2021 begin with 625467131 relations and 587521278 unique ideals Fri Jun 04 16:27:18 2021 reduce to 334679704 relations and 260148528 ideals in 24 passes Fri Jun 04 16:27:18 2021 max relations containing the same ideal: 38 Fri Jun 04 16:27:59 2021 reading ideals above 720000 Fri Jun 04 16:28:00 2021 commencing singleton removal, initial pass Fri Jun 04 17:38:28 2021 memory use: 6024.0 MB Fri Jun 04 17:38:29 2021 reading all ideals from disk Fri Jun 04 17:38:39 2021 memory use: 15268.6 MB Fri Jun 04 17:39:55 2021 keeping 310149982 ideals with weight <= 200, target excess is 1888144 Fri Jun 04 17:41:12 2021 commencing in-memory singleton removal Fri Jun 04 17:42:22 2021 begin with 334679704 relations and 310149982 unique ideals Fri Jun 04 17:56:32 2021 reduce to 334523316 relations and 309993587 ideals in 13 passes Fri Jun 04 17:56:32 2021 max relations containing the same ideal: 200 Fri Jun 04 18:01:39 2021 removing 20656180 relations and 18656180 ideals in 2000000 cliques Fri Jun 04 18:01:46 2021 commencing in-memory singleton removal Fri Jun 04 18:02:50 2021 begin with 313867136 relations and 309993587 unique ideals Fri Jun 04 18:13:05 2021 reduce to 312733831 relations and 290193624 ideals in 10 passes Fri Jun 04 18:13:05 2021 max relations containing the same ideal: 199 Fri Jun 04 18:17:50 2021 removing 15246593 relations and 13246593 ideals in 2000000 cliques Fri Jun 04 18:17:56 2021 commencing in-memory singleton removal Fri Jun 04 18:18:56 2021 begin with 297487238 relations and 290193624 unique ideals Fri Jun 04 18:28:27 2021 reduce to 296816125 relations and 276270862 ideals in 10 passes Fri Jun 04 18:28:27 2021 max relations containing the same ideal: 194 Fri Jun 04 18:32:50 2021 removing 13536735 relations and 11536735 ideals in 2000000 cliques Fri Jun 04 18:32:56 2021 commencing in-memory singleton removal Fri Jun 04 18:33:52 2021 begin with 283279390 relations and 276270862 unique ideals Fri Jun 04 18:41:52 2021 reduce to 282721382 relations and 264172195 ideals in 9 passes Fri Jun 04 18:41:52 2021 max relations containing the same ideal: 192 Fri Jun 04 18:46:03 2021 removing 12606690 relations and 10606690 ideals in 2000000 cliques Fri Jun 04 18:46:08 2021 commencing in-memory singleton removal Fri Jun 04 18:47:01 2021 begin with 270114692 relations and 264172195 unique ideals Fri Jun 04 18:53:28 2021 reduce to 269608000 relations and 253055061 ideals in 8 passes Fri Jun 04 18:53:28 2021 max relations containing the same ideal: 183 Fri Jun 04 18:57:25 2021 removing 11999589 relations and 9999589 ideals in 2000000 cliques Fri Jun 04 18:57:30 2021 commencing in-memory singleton removal Fri Jun 04 18:58:20 2021 begin with 257608411 relations and 253055061 unique ideals Fri Jun 04 19:04:38 2021 reduce to 257130777 relations and 242574246 ideals in 8 passes Fri Jun 04 19:04:38 2021 max relations containing the same ideal: 178 Fri Jun 04 19:08:23 2021 removing 11570470 relations and 9570470 ideals in 2000000 cliques Fri Jun 04 19:08:28 2021 commencing in-memory singleton removal Fri Jun 04 19:09:14 2021 begin with 245560307 relations and 242574246 unique ideals Fri Jun 04 19:15:07 2021 reduce to 245100128 relations and 232540071 ideals in 8 passes Fri Jun 04 19:15:07 2021 max relations containing the same ideal: 174 Fri Jun 04 19:18:40 2021 removing 11257279 relations and 9257279 ideals in 2000000 cliques Fri Jun 04 19:18:44 2021 commencing in-memory singleton removal Fri Jun 04 19:19:29 2021 begin with 233842849 relations and 232540071 unique ideals Fri Jun 04 19:25:05 2021 reduce to 233387715 relations and 222824232 ideals in 8 passes Fri Jun 04 19:25:05 2021 max relations containing the same ideal: 169 Fri Jun 04 19:28:27 2021 removing 11010584 relations and 9010584 ideals in 2000000 cliques Fri Jun 04 19:28:31 2021 commencing in-memory singleton removal Fri Jun 04 19:29:12 2021 begin with 222377131 relations and 222824232 unique ideals Fri Jun 04 19:34:25 2021 reduce to 221921969 relations and 213354866 ideals in 8 passes Fri Jun 04 19:34:25 2021 max relations containing the same ideal: 164 Fri Jun 04 19:37:36 2021 removing 10828609 relations and 8828609 ideals in 2000000 cliques Fri Jun 04 19:37:40 2021 commencing in-memory singleton removal Fri Jun 04 19:38:18 2021 begin with 211093360 relations and 213354866 unique ideals Fri Jun 04 19:43:08 2021 reduce to 210633889 relations and 204063006 ideals in 8 passes Fri Jun 04 19:43:08 2021 max relations containing the same ideal: 160 Fri Jun 04 19:46:07 2021 removing 10691977 relations and 8691977 ideals in 2000000 cliques Fri Jun 04 19:46:11 2021 commencing in-memory singleton removal Fri Jun 04 19:46:47 2021 begin with 199941912 relations and 204063006 unique ideals Fri Jun 04 19:51:17 2021 reduce to 199471869 relations and 194897026 ideals in 8 passes Fri Jun 04 19:51:17 2021 max relations containing the same ideal: 152 Fri Jun 04 19:54:04 2021 removing 10584912 relations and 8584912 ideals in 2000000 cliques Fri Jun 04 19:54:08 2021 commencing in-memory singleton removal Fri Jun 04 19:54:41 2021 begin with 188886957 relations and 194897026 unique ideals Fri Jun 04 19:58:49 2021 reduce to 188401090 relations and 185821853 ideals in 8 passes Fri Jun 04 19:58:49 2021 max relations containing the same ideal: 144 Fri Jun 04 20:01:27 2021 removing 2730452 relations and 2341463 ideals in 388989 cliques Fri Jun 04 20:01:30 2021 commencing in-memory singleton removal Fri Jun 04 20:02:02 2021 begin with 185670638 relations and 185821853 unique ideals Fri Jun 04 20:05:35 2021 reduce to 185640239 relations and 183449927 ideals in 7 passes Fri Jun 04 20:05:35 2021 max relations containing the same ideal: 143 Fri Jun 04 20:06:30 2021 relations with 0 large ideals: 63541 Fri Jun 04 20:06:30 2021 relations with 1 large ideals: 12119 Fri Jun 04 20:06:30 2021 relations with 2 large ideals: 187447 Fri Jun 04 20:06:30 2021 relations with 3 large ideals: 1603185 Fri Jun 04 20:06:30 2021 relations with 4 large ideals: 7650811 Fri Jun 04 20:06:30 2021 relations with 5 large ideals: 22211584 Fri Jun 04 20:06:30 2021 relations with 6 large ideals: 40926094 Fri Jun 04 20:06:30 2021 relations with 7+ large ideals: 112985458 Fri Jun 04 20:06:30 2021 commencing 2-way merge Fri Jun 04 20:10:16 2021 reduce to 114832607 relation sets and 112642295 unique ideals Fri Jun 04 20:10:16 2021 commencing full merge Fri Jun 04 21:23:32 2021 memory use: 14240.6 MB Fri Jun 04 21:24:07 2021 found 51861507 cycles, need 51816495 Fri Jun 04 21:24:10 2021 weight of 51816495 cycles is about 6218015764 (120.00/cycle) Fri Jun 04 21:24:10 2021 distribution of cycle lengths: Fri Jun 04 21:24:10 2021 1 relations: 3759869 Fri Jun 04 21:24:10 2021 2 relations: 4232253 Fri Jun 04 21:24:10 2021 3 relations: 4472198 Fri Jun 04 21:24:10 2021 4 relations: 4234042 Fri Jun 04 21:24:10 2021 5 relations: 3993539 Fri Jun 04 21:24:10 2021 6 relations: 3684644 Fri Jun 04 21:24:10 2021 7 relations: 3407329 Fri Jun 04 21:24:10 2021 8 relations: 3121157 Fri Jun 04 21:24:10 2021 9 relations: 2826013 Fri Jun 04 21:24:10 2021 10+ relations: 18085451 Fri Jun 04 21:24:10 2021 heaviest cycle: 28 relations Fri Jun 04 21:29:10 2021 commencing cycle optimization Fri Jun 04 21:31:15 2021 start with 423530224 relations Fri Jun 04 22:01:40 2021 pruned 14345198 relations Fri Jun 04 22:01:40 2021 memory use: 12018.8 MB Fri Jun 04 22:01:40 2021 distribution of cycle lengths: Fri Jun 04 22:01:40 2021 1 relations: 3759869 Fri Jun 04 22:01:40 2021 2 relations: 4336487 Fri Jun 04 22:01:40 2021 3 relations: 4652090 Fri Jun 04 22:01:40 2021 4 relations: 4370788 Fri Jun 04 22:01:40 2021 5 relations: 4135396 Fri Jun 04 22:01:40 2021 6 relations: 3786665 Fri Jun 04 22:01:40 2021 7 relations: 3499051 Fri Jun 04 22:01:40 2021 8 relations: 3183938 Fri Jun 04 22:01:40 2021 9 relations: 2878726 Fri Jun 04 22:01:40 2021 10+ relations: 17213485 Fri Jun 04 22:01:40 2021 heaviest cycle: 28 relations Fri Jun 04 22:09:01 2021 RelProcTime: 33677 Fri Jun 04 22:09:01 2021 Fri Jun 04 22:09:01 2021 commencing linear algebra Fri Jun 04 22:09:24 2021 read 51816495 cycles Fri Jun 04 22:11:45 2021 cycles contain 184172021 unique relations Fri Jun 04 22:40:26 2021 read 184172021 relations Fri Jun 04 22:48:57 2021 using 20 quadratic characters above 4294917296 Fri Jun 04 23:02:38 2021 building initial matrix Fri Jun 04 23:47:06 2021 memory use: 24424.7 MB Fri Jun 04 23:50:01 2021 read 51816495 cycles Fri Jun 04 23:50:18 2021 matrix is 51816318 x 51816495 (24643.7 MB) with weight 7013939378 (135.36/col) Fri Jun 04 23:50:18 2021 sparse part has weight 5890204422 (113.67/col) Sat Jun 05 00:10:26 2021 filtering completed in 2 passes Sat Jun 05 00:10:43 2021 matrix is 51814886 x 51815063 (24643.5 MB) with weight 7013895558 (135.36/col) Sat Jun 05 00:10:43 2021 sparse part has weight 5890192785 (113.68/col) Sat Jun 05 00:18:55 2021 matrix starts at (0, 0) Sat Jun 05 00:19:11 2021 matrix is 51814886 x 51815063 (24643.5 MB) with weight 7013895558 (135.36/col) Sat Jun 05 00:19:11 2021 sparse part has weight 5890192785 (113.68/col) Sat Jun 05 00:19:11 2021 saving the first 48 matrix rows for later Sat Jun 05 00:19:29 2021 matrix includes 64 packed rows Sat Jun 05 00:19:39 2021 matrix is 51814838 x 51815063 (23702.5 MB) with weight 6053155990 (116.82/col) Sat Jun 05 00:19:39 2021 sparse part has weight 5695319177 (109.92/col) Sat Jun 05 00:19:39 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Sat Jun 05 00:28:10 2021 commencing Lanczos iteration (24 threads) Sat Jun 05 00:28:10 2021 memory use: 21139.9 MB Sat Jun 05 00:30:30 2021 linear algebra at 0.0%, ETA 1260h11m Sat Jun 05 00:31:15 2021 checkpointing every 50000 dimensions Tue Jun 08 20:12:57 2021 Tue Jun 08 20:12:57 2021 Tue Jun 08 20:12:57 2021 Msieve v. 1.52 (SVN unknown) Tue Jun 08 20:12:57 2021 random seeds: a5c55cb4 81117308 Tue Jun 08 20:12:57 2021 factoring 100669439235992085133501953958661412798095282801990550945314678303346789681785669272661584593529037786603193246144217682475591862308296192759492250153493681387158783806505029819990040107124393193594205082144790139 (213 digits) Tue Jun 08 20:12:58 2021 no P-1/P+1/ECM available, skipping Tue Jun 08 20:12:58 2021 commencing number field sieve (213-digit input) Tue Jun 08 20:12:58 2021 R0: -45671926060252476630107084286792841360213803007 Tue Jun 08 20:12:58 2021 R1: 1 Tue Jun 08 20:12:58 2021 A0: 2147483647 Tue Jun 08 20:12:58 2021 A1: 0 Tue Jun 08 20:12:58 2021 A2: 0 Tue Jun 08 20:12:58 2021 A3: 0 Tue Jun 08 20:12:58 2021 A4: 0 Tue Jun 08 20:12:58 2021 A5: 0 Tue Jun 08 20:12:58 2021 A6: 1 Tue Jun 08 20:12:58 2021 skew 48.49, size 8.017e-015, alpha 2.035, combined = 3.456e-015 rroots = 0 Tue Jun 08 20:12:58 2021 Tue Jun 08 20:12:58 2021 commencing linear algebra Tue Jun 08 20:13:57 2021 matrix starts at (0, 0) Tue Jun 08 20:14:13 2021 matrix is 51814886 x 51815063 (24643.5 MB) with weight 7013895558 (135.36/col) Tue Jun 08 20:14:13 2021 sparse part has weight 5890192785 (113.68/col) Tue Jun 08 20:14:13 2021 saving the first 48 matrix rows for later Tue Jun 08 20:14:30 2021 matrix includes 64 packed rows Tue Jun 08 20:14:41 2021 matrix is 51814838 x 51815063 (23702.5 MB) with weight 6053155990 (116.82/col) Tue Jun 08 20:14:41 2021 sparse part has weight 5695319177 (109.92/col) Tue Jun 08 20:14:41 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Tue Jun 08 20:22:52 2021 commencing Lanczos iteration (24 threads) Tue Jun 08 20:22:53 2021 memory use: 21139.9 MB Tue Jun 08 20:22:57 2021 restarting at iteration 57722 (dim = 3650043) Tue Jun 08 20:25:07 2021 linear algebra at 7.0%, ETA 1147h15m Tue Jun 08 20:25:44 2021 checkpointing every 50000 dimensions Sun Jun 20 06:28:27 2021 Sun Jun 20 06:28:27 2021 Sun Jun 20 06:28:27 2021 Msieve v. 1.52 (SVN unknown) Sun Jun 20 06:28:27 2021 random seeds: 37c385e8 0e5bba6d Sun Jun 20 06:28:27 2021 factoring 100669439235992085133501953958661412798095282801990550945314678303346789681785669272661584593529037786603193246144217682475591862308296192759492250153493681387158783806505029819990040107124393193594205082144790139 (213 digits) Sun Jun 20 06:28:28 2021 no P-1/P+1/ECM available, skipping Sun Jun 20 06:28:28 2021 commencing number field sieve (213-digit input) Sun Jun 20 06:28:28 2021 R0: -45671926060252476630107084286792841360213803007 Sun Jun 20 06:28:28 2021 R1: 1 Sun Jun 20 06:28:28 2021 A0: 2147483647 Sun Jun 20 06:28:28 2021 A1: 0 Sun Jun 20 06:28:28 2021 A2: 0 Sun Jun 20 06:28:28 2021 A3: 0 Sun Jun 20 06:28:28 2021 A4: 0 Sun Jun 20 06:28:28 2021 A5: 0 Sun Jun 20 06:28:28 2021 A6: 1 Sun Jun 20 06:28:28 2021 skew 48.49, size 8.017e-015, alpha 2.035, combined = 3.456e-015 rroots = 0 Sun Jun 20 06:28:28 2021 Sun Jun 20 06:28:28 2021 commencing linear algebra Sun Jun 20 06:29:27 2021 matrix starts at (0, 0) Sun Jun 20 06:29:43 2021 matrix is 51814886 x 51815063 (24643.5 MB) with weight 7013895558 (135.36/col) Sun Jun 20 06:29:43 2021 sparse part has weight 5890192785 (113.68/col) Sun Jun 20 06:29:43 2021 saving the first 48 matrix rows for later Sun Jun 20 06:30:00 2021 matrix includes 64 packed rows Sun Jun 20 06:30:11 2021 matrix is 51814838 x 51815063 (23702.5 MB) with weight 6053155990 (116.82/col) Sun Jun 20 06:30:11 2021 sparse part has weight 5695319177 (109.92/col) Sun Jun 20 06:30:11 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Sun Jun 20 06:38:25 2021 commencing Lanczos iteration (24 threads) Sun Jun 20 06:38:25 2021 memory use: 21139.9 MB Sun Jun 20 06:38:30 2021 restarting at iteration 240363 (dim = 15200013) Sun Jun 20 06:40:53 2021 linear algebra at 29.3%, ETA 960h36m Sun Jun 20 06:41:41 2021 checkpointing every 40000 dimensions Mon Jun 21 19:47:39 2021 Mon Jun 21 19:47:39 2021 Mon Jun 21 19:47:39 2021 Msieve v. 1.52 (SVN unknown) Mon Jun 21 19:47:39 2021 random seeds: 6e06df5c 3e82a598 Mon Jun 21 19:47:39 2021 factoring 100669439235992085133501953958661412798095282801990550945314678303346789681785669272661584593529037786603193246144217682475591862308296192759492250153493681387158783806505029819990040107124393193594205082144790139 (213 digits) Mon Jun 21 19:47:40 2021 no P-1/P+1/ECM available, skipping Mon Jun 21 19:47:40 2021 commencing number field sieve (213-digit input) Mon Jun 21 19:47:40 2021 R0: -45671926060252476630107084286792841360213803007 Mon Jun 21 19:47:40 2021 R1: 1 Mon Jun 21 19:47:40 2021 A0: 2147483647 Mon Jun 21 19:47:40 2021 A1: 0 Mon Jun 21 19:47:40 2021 A2: 0 Mon Jun 21 19:47:40 2021 A3: 0 Mon Jun 21 19:47:40 2021 A4: 0 Mon Jun 21 19:47:40 2021 A5: 0 Mon Jun 21 19:47:40 2021 A6: 1 Mon Jun 21 19:47:40 2021 skew 48.49, size 8.017e-015, alpha 2.035, combined = 3.456e-015 rroots = 0 Mon Jun 21 19:47:40 2021 Mon Jun 21 19:47:40 2021 commencing linear algebra Mon Jun 21 19:48:39 2021 matrix starts at (0, 0) Mon Jun 21 19:48:55 2021 matrix is 51814886 x 51815063 (24643.5 MB) with weight 7013895558 (135.36/col) Mon Jun 21 19:48:55 2021 sparse part has weight 5890192785 (113.68/col) Mon Jun 21 19:48:55 2021 saving the first 48 matrix rows for later Mon Jun 21 19:49:13 2021 matrix includes 64 packed rows Mon Jun 21 19:49:23 2021 matrix is 51814838 x 51815063 (23702.5 MB) with weight 6053155990 (116.82/col) Mon Jun 21 19:49:23 2021 sparse part has weight 5695319177 (109.92/col) Mon Jun 21 19:49:23 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Mon Jun 21 19:57:38 2021 commencing Lanczos iteration (24 threads) Mon Jun 21 19:57:38 2021 memory use: 21139.9 MB Mon Jun 21 19:57:42 2021 restarting at iteration 265033 (dim = 16760004) Mon Jun 21 20:00:06 2021 linear algebra at 32.3%, ETA 924h17m Mon Jun 21 20:00:54 2021 checkpointing every 40000 dimensions Wed Jun 30 23:14:54 2021 Wed Jun 30 23:14:54 2021 Wed Jun 30 23:14:54 2021 Msieve v. 1.52 (SVN unknown) Wed Jun 30 23:14:54 2021 random seeds: f3f2bd50 b5e003e5 Wed Jun 30 23:14:54 2021 factoring 100669439235992085133501953958661412798095282801990550945314678303346789681785669272661584593529037786603193246144217682475591862308296192759492250153493681387158783806505029819990040107124393193594205082144790139 (213 digits) Wed Jun 30 23:14:55 2021 no P-1/P+1/ECM available, skipping Wed Jun 30 23:14:55 2021 commencing number field sieve (213-digit input) Wed Jun 30 23:14:55 2021 R0: -45671926060252476630107084286792841360213803007 Wed Jun 30 23:14:55 2021 R1: 1 Wed Jun 30 23:14:55 2021 A0: 2147483647 Wed Jun 30 23:14:55 2021 A1: 0 Wed Jun 30 23:14:55 2021 A2: 0 Wed Jun 30 23:14:55 2021 A3: 0 Wed Jun 30 23:14:55 2021 A4: 0 Wed Jun 30 23:14:55 2021 A5: 0 Wed Jun 30 23:14:55 2021 A6: 1 Wed Jun 30 23:14:55 2021 skew 48.49, size 8.017e-015, alpha 2.035, combined = 3.456e-015 rroots = 0 Wed Jun 30 23:14:55 2021 Wed Jun 30 23:14:55 2021 commencing linear algebra Wed Jun 30 23:15:51 2021 matrix starts at (0, 0) Wed Jun 30 23:16:08 2021 matrix is 51814886 x 51815063 (24643.5 MB) with weight 7013895558 (135.36/col) Wed Jun 30 23:16:08 2021 sparse part has weight 5890192785 (113.68/col) Wed Jun 30 23:16:08 2021 saving the first 48 matrix rows for later Wed Jun 30 23:16:25 2021 matrix includes 64 packed rows Wed Jun 30 23:16:35 2021 matrix is 51814838 x 51815063 (23702.5 MB) with weight 6053155990 (116.82/col) Wed Jun 30 23:16:35 2021 sparse part has weight 5695319177 (109.92/col) Wed Jun 30 23:16:35 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Wed Jun 30 23:24:49 2021 commencing Lanczos iteration (24 threads) Wed Jun 30 23:24:49 2021 memory use: 21139.9 MB Wed Jun 30 23:24:54 2021 restarting at iteration 409886 (dim = 25920011) Wed Jun 30 23:27:15 2021 linear algebra at 50.0%, ETA 669h24m Wed Jun 30 23:28:03 2021 checkpointing every 40000 dimensions Sun Jul 04 07:15:58 2021 Sun Jul 04 07:15:58 2021 Sun Jul 04 07:15:58 2021 Msieve v. 1.52 (SVN unknown) Sun Jul 04 07:15:58 2021 random seeds: 1f9632a0 f2a09824 Sun Jul 04 07:15:58 2021 factoring 100669439235992085133501953958661412798095282801990550945314678303346789681785669272661584593529037786603193246144217682475591862308296192759492250153493681387158783806505029819990040107124393193594205082144790139 (213 digits) Sun Jul 04 07:15:59 2021 no P-1/P+1/ECM available, skipping Sun Jul 04 07:15:59 2021 commencing number field sieve (213-digit input) Sun Jul 04 07:15:59 2021 R0: -45671926060252476630107084286792841360213803007 Sun Jul 04 07:15:59 2021 R1: 1 Sun Jul 04 07:15:59 2021 A0: 2147483647 Sun Jul 04 07:15:59 2021 A1: 0 Sun Jul 04 07:15:59 2021 A2: 0 Sun Jul 04 07:15:59 2021 A3: 0 Sun Jul 04 07:15:59 2021 A4: 0 Sun Jul 04 07:15:59 2021 A5: 0 Sun Jul 04 07:15:59 2021 A6: 1 Sun Jul 04 07:15:59 2021 skew 48.49, size 8.017e-015, alpha 2.035, combined = 3.456e-015 rroots = 0 Sun Jul 04 07:15:59 2021 Sun Jul 04 07:15:59 2021 commencing linear algebra Sun Jul 04 07:16:55 2021 matrix starts at (0, 0) Sun Jul 04 07:18:12 2021 Sun Jul 04 07:18:12 2021 Sun Jul 04 07:18:12 2021 Msieve v. 1.52 (SVN unknown) Sun Jul 04 07:18:12 2021 random seeds: 33d6b460 4041a0e7 Sun Jul 04 07:18:12 2021 factoring 100669439235992085133501953958661412798095282801990550945314678303346789681785669272661584593529037786603193246144217682475591862308296192759492250153493681387158783806505029819990040107124393193594205082144790139 (213 digits) Sun Jul 04 07:18:13 2021 no P-1/P+1/ECM available, skipping Sun Jul 04 07:18:13 2021 commencing number field sieve (213-digit input) Sun Jul 04 07:18:13 2021 R0: -45671926060252476630107084286792841360213803007 Sun Jul 04 07:18:13 2021 R1: 1 Sun Jul 04 07:18:13 2021 A0: 2147483647 Sun Jul 04 07:18:13 2021 A1: 0 Sun Jul 04 07:18:13 2021 A2: 0 Sun Jul 04 07:18:13 2021 A3: 0 Sun Jul 04 07:18:13 2021 A4: 0 Sun Jul 04 07:18:13 2021 A5: 0 Sun Jul 04 07:18:13 2021 A6: 1 Sun Jul 04 07:18:13 2021 skew 48.49, size 8.017e-015, alpha 2.035, combined = 3.456e-015 rroots = 0 Sun Jul 04 07:18:13 2021 Sun Jul 04 07:18:13 2021 commencing linear algebra Sun Jul 04 07:18:44 2021 matrix starts at (0, 0) Sun Jul 04 07:19:00 2021 matrix is 51814886 x 51815063 (24643.5 MB) with weight 7013895558 (135.36/col) Sun Jul 04 07:19:00 2021 sparse part has weight 5890192785 (113.68/col) Sun Jul 04 07:19:00 2021 saving the first 48 matrix rows for later Sun Jul 04 07:19:17 2021 matrix includes 64 packed rows Sun Jul 04 07:19:27 2021 matrix is 51814838 x 51815063 (23702.5 MB) with weight 6053155990 (116.82/col) Sun Jul 04 07:19:27 2021 sparse part has weight 5695319177 (109.92/col) Sun Jul 04 07:19:27 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Sun Jul 04 07:27:37 2021 commencing Lanczos iteration (24 threads) Sun Jul 04 07:27:37 2021 memory use: 21139.9 MB Sun Jul 04 07:27:42 2021 restarting at iteration 461753 (dim = 29200028) Sun Jul 04 07:30:05 2021 linear algebra at 56.4%, ETA 590h57m Sun Jul 04 07:30:54 2021 checkpointing every 40000 dimensions Mon Jul 26 20:43:41 2021 lanczos halted after 819372 iterations (dim = 51814834) Mon Jul 26 20:44:28 2021 recovered 35 nontrivial dependencies Mon Jul 26 20:47:20 2021 BLanczosTime: 1949347 Mon Jul 26 20:47:20 2021 Mon Jul 26 20:47:20 2021 commencing square root phase Mon Jul 26 20:47:20 2021 reading relations for dependency 1 Mon Jul 26 20:47:36 2021 read 25906758 cycles Mon Jul 26 20:48:41 2021 cycles contain 92089242 unique relations Mon Jul 26 21:05:25 2021 read 92089242 relations Mon Jul 26 21:16:13 2021 multiplying 92089242 relations Mon Jul 26 23:12:47 2021 multiply complete, coefficients have about 2821.83 million bits Mon Jul 26 23:13:18 2021 initial square root is modulo 2132881 Tue Jul 27 01:22:09 2021 GCD is 1, no factor found Tue Jul 27 01:22:09 2021 reading relations for dependency 2 Tue Jul 27 01:22:22 2021 read 25908775 cycles Tue Jul 27 01:23:26 2021 cycles contain 92091690 unique relations Tue Jul 27 01:38:27 2021 read 92091690 relations Tue Jul 27 01:49:23 2021 multiplying 92091690 relations Tue Jul 27 03:46:04 2021 multiply complete, coefficients have about 2821.93 million bits Tue Jul 27 03:46:35 2021 initial square root is modulo 2133949 Tue Jul 27 05:56:53 2021 GCD is 1, no factor found Tue Jul 27 05:56:53 2021 reading relations for dependency 3 Tue Jul 27 05:57:06 2021 read 25908343 cycles Tue Jul 27 05:58:05 2021 cycles contain 92096318 unique relations Tue Jul 27 06:13:06 2021 read 92096318 relations Tue Jul 27 06:23:51 2021 multiplying 92096318 relations Tue Jul 27 08:20:39 2021 multiply complete, coefficients have about 2822.05 million bits Tue Jul 27 08:21:10 2021 initial square root is modulo 2135383 Tue Jul 27 10:31:44 2021 GCD is N, no factor found Tue Jul 27 10:31:44 2021 reading relations for dependency 4 Tue Jul 27 10:31:57 2021 read 25903162 cycles Tue Jul 27 10:32:57 2021 cycles contain 92072914 unique relations Tue Jul 27 10:48:02 2021 read 92072914 relations Tue Jul 27 10:59:13 2021 multiplying 92072914 relations Tue Jul 27 12:56:07 2021 multiply complete, coefficients have about 2821.34 million bits Tue Jul 27 12:56:39 2021 initial square root is modulo 2127607 Tue Jul 27 15:05:41 2021 GCD is N, no factor found Tue Jul 27 15:05:41 2021 reading relations for dependency 5 Tue Jul 27 15:05:54 2021 read 25909032 cycles Tue Jul 27 15:06:53 2021 cycles contain 92078872 unique relations Tue Jul 27 15:22:01 2021 read 92078872 relations Tue Jul 27 15:32:34 2021 multiplying 92078872 relations Tue Jul 27 17:29:37 2021 multiply complete, coefficients have about 2821.52 million bits Tue Jul 27 17:30:09 2021 initial square root is modulo 2129497 Tue Jul 27 19:39:10 2021 GCD is N, no factor found Tue Jul 27 19:39:10 2021 reading relations for dependency 6 Tue Jul 27 19:39:23 2021 read 25909770 cycles Tue Jul 27 19:40:22 2021 cycles contain 92096358 unique relations Tue Jul 27 19:55:36 2021 read 92096358 relations Tue Jul 27 20:06:28 2021 multiplying 92096358 relations Tue Jul 27 22:03:31 2021 multiply complete, coefficients have about 2822.05 million bits Tue Jul 27 22:04:03 2021 initial square root is modulo 2135383 Wed Jul 28 00:14:43 2021 GCD is N, no factor found Wed Jul 28 00:14:43 2021 reading relations for dependency 7 Wed Jul 28 00:14:55 2021 read 25909307 cycles Wed Jul 28 00:15:54 2021 cycles contain 92087900 unique relations Wed Jul 28 00:31:09 2021 read 92087900 relations Wed Jul 28 00:41:48 2021 multiplying 92087900 relations Wed Jul 28 02:39:05 2021 multiply complete, coefficients have about 2821.80 million bits Wed Jul 28 02:39:36 2021 initial square root is modulo 2132551 Wed Jul 28 04:48:43 2021 GCD is 1, no factor found Wed Jul 28 04:48:43 2021 reading relations for dependency 8 Wed Jul 28 04:48:56 2021 read 25907280 cycles Wed Jul 28 04:50:00 2021 cycles contain 92076890 unique relations Wed Jul 28 05:05:22 2021 read 92076890 relations Wed Jul 28 05:16:46 2021 multiplying 92076890 relations Wed Jul 28 07:14:01 2021 multiply complete, coefficients have about 2821.46 million bits Wed Jul 28 07:14:32 2021 initial square root is modulo 2128747 Wed Jul 28 09:23:18 2021 sqrtTime: 131758 Wed Jul 28 09:23:18 2021 prp88 factor: 1552893704046856934673246902021521232580626205434880896791780569565927923246340438343849 Wed Jul 28 09:23:18 2021 prp125 factor: 64826999409970233646517742117530348992467048368592094393267598807921659274098343259072688331621535830620851667997450604462211 Wed Jul 28 09:23:18 2021 elapsed time 578:05:06