Fri Jun 8 21:08:10 2018 Msieve v. 1.53 (SVN unknown) Fri Jun 8 21:08:10 2018 random seeds: 9dc68569 5bd23ab5 Fri Jun 8 21:08:10 2018 factoring 28074502122564319908979181531967537616095668707384454473748919573561082001884566015915909261090700889679832915180616153494785635778300687649218819936786961125157204537625400997331224951086304617912441364997580901 (212 digits) Fri Jun 8 21:08:12 2018 searching for 15-digit factors Fri Jun 8 21:08:12 2018 commencing number field sieve (212-digit input) Fri Jun 8 21:08:12 2018 R0: 24828921817043693312917600278892972922402 Fri Jun 8 21:08:12 2018 R1: -157571957584602258799 Fri Jun 8 21:08:12 2018 A0: -1 Fri Jun 8 21:08:12 2018 A1: 3 Fri Jun 8 21:08:12 2018 A2: 6 Fri Jun 8 21:08:12 2018 A3: -4 Fri Jun 8 21:08:12 2018 A4: -5 Fri Jun 8 21:08:12 2018 A5: 1 Fri Jun 8 21:08:12 2018 A6: 1 Fri Jun 8 21:08:12 2018 skew 1.00, size 6.476e-12, alpha 3.126, combined = 4.532e-13 rroots = 6 Fri Jun 8 21:08:12 2018 Fri Jun 8 21:08:12 2018 commencing relation filtering Fri Jun 8 21:08:12 2018 setting target matrix density to 124.0 Fri Jun 8 21:08:12 2018 estimated available RAM is 16001.6 MB Fri Jun 8 21:08:12 2018 commencing duplicate removal, pass 1 Fri Jun 8 21:19:27 2018 error -11 reading relation 88384635 Fri Jun 8 21:19:27 2018 error -15 reading relation 88388583 Fri Jun 8 21:35:01 2018 error -15 reading relation 176224470 Fri Jun 8 21:35:34 2018 error -15 reading relation 180916734 Fri Jun 8 21:37:41 2018 skipped 58 relations with b > 2^32 Fri Jun 8 21:37:41 2018 skipped 6 relations with composite factors Fri Jun 8 21:37:41 2018 found 8409565 hash collisions in 195873349 relations Fri Jun 8 21:37:41 2018 commencing duplicate removal, pass 2 Fri Jun 8 21:40:30 2018 found 0 duplicates and 195873349 unique relations Fri Jun 8 21:40:30 2018 memory use: 522.4 MB Fri Jun 8 21:40:30 2018 reading ideals above 149880832 Fri Jun 8 21:40:30 2018 commencing singleton removal, initial pass Fri Jun 8 22:02:20 2018 memory use: 3012.0 MB Fri Jun 8 22:02:21 2018 reading all ideals from disk Fri Jun 8 22:03:58 2018 memory use: 3257.5 MB Fri Jun 8 22:04:10 2018 commencing in-memory singleton removal Fri Jun 8 22:04:22 2018 begin with 195873349 relations and 155113312 unique ideals Fri Jun 8 22:06:28 2018 reduce to 130186124 relations and 83250616 ideals in 13 passes Fri Jun 8 22:06:28 2018 max relations containing the same ideal: 39 Fri Jun 8 22:06:38 2018 reading ideals above 720000 Fri Jun 8 22:06:38 2018 commencing singleton removal, initial pass Fri Jun 8 22:30:05 2018 memory use: 2756.0 MB Fri Jun 8 22:30:06 2018 reading all ideals from disk Fri Jun 8 22:30:51 2018 memory use: 5062.6 MB Fri Jun 8 22:31:13 2018 keeping 99460949 ideals with weight <= 200, target excess is 665511 Fri Jun 8 22:31:31 2018 commencing in-memory singleton removal Fri Jun 8 22:31:47 2018 begin with 130186124 relations and 99460949 unique ideals Fri Jun 8 22:33:01 2018 reduce to 130185760 relations and 99460584 ideals in 4 passes Fri Jun 8 22:33:01 2018 max relations containing the same ideal: 200 Fri Jun 8 22:34:12 2018 removing 9925763 relations and 7925763 ideals in 2000000 cliques Fri Jun 8 22:34:15 2018 commencing in-memory singleton removal Fri Jun 8 22:34:28 2018 begin with 120259997 relations and 99460584 unique ideals Fri Jun 8 22:36:22 2018 reduce to 119704782 relations and 90968871 ideals in 7 passes Fri Jun 8 22:36:22 2018 max relations containing the same ideal: 197 Fri Jun 8 22:37:31 2018 removing 7599846 relations and 5599846 ideals in 2000000 cliques Fri Jun 8 22:37:34 2018 commencing in-memory singleton removal Fri Jun 8 22:37:44 2018 begin with 112104936 relations and 90968871 unique ideals Fri Jun 8 22:39:17 2018 reduce to 111733770 relations and 84991592 ideals in 6 passes Fri Jun 8 22:39:17 2018 max relations containing the same ideal: 190 Fri Jun 8 22:40:14 2018 removing 6924277 relations and 4924277 ideals in 2000000 cliques Fri Jun 8 22:40:17 2018 commencing in-memory singleton removal Fri Jun 8 22:40:30 2018 begin with 104809493 relations and 84991592 unique ideals Fri Jun 8 22:42:00 2018 reduce to 104485177 relations and 79737490 ideals in 7 passes Fri Jun 8 22:42:00 2018 max relations containing the same ideal: 183 Fri Jun 8 22:42:46 2018 removing 6569175 relations and 4569175 ideals in 2000000 cliques Fri Jun 8 22:42:48 2018 commencing in-memory singleton removal Fri Jun 8 22:42:56 2018 begin with 97916002 relations and 79737490 unique ideals Fri Jun 8 22:43:48 2018 reduce to 97613911 relations and 74860839 ideals in 7 passes Fri Jun 8 22:43:48 2018 max relations containing the same ideal: 178 Fri Jun 8 22:44:30 2018 removing 6353775 relations and 4353775 ideals in 2000000 cliques Fri Jun 8 22:44:32 2018 commencing in-memory singleton removal Fri Jun 8 22:44:41 2018 begin with 91260136 relations and 74860839 unique ideals Fri Jun 8 22:45:40 2018 reduce to 90967701 relations and 70209176 ideals in 7 passes Fri Jun 8 22:45:40 2018 max relations containing the same ideal: 172 Fri Jun 8 22:46:23 2018 removing 6197855 relations and 4197855 ideals in 2000000 cliques Fri Jun 8 22:46:25 2018 commencing in-memory singleton removal Fri Jun 8 22:46:32 2018 begin with 84769846 relations and 70209176 unique ideals Fri Jun 8 22:47:24 2018 reduce to 84480002 relations and 65715761 ideals in 7 passes Fri Jun 8 22:47:24 2018 max relations containing the same ideal: 163 Fri Jun 8 22:48:06 2018 removing 6084308 relations and 4084308 ideals in 2000000 cliques Fri Jun 8 22:48:08 2018 commencing in-memory singleton removal Fri Jun 8 22:48:15 2018 begin with 78395694 relations and 65715761 unique ideals Fri Jun 8 22:49:01 2018 reduce to 78103735 relations and 61333237 ideals in 7 passes Fri Jun 8 22:49:01 2018 max relations containing the same ideal: 154 Fri Jun 8 22:49:38 2018 removing 5999063 relations and 3999063 ideals in 2000000 cliques Fri Jun 8 22:49:41 2018 commencing in-memory singleton removal Fri Jun 8 22:49:49 2018 begin with 72104672 relations and 61333237 unique ideals Fri Jun 8 22:50:42 2018 reduce to 71805294 relations and 57027983 ideals in 6 passes Fri Jun 8 22:50:42 2018 max relations containing the same ideal: 143 Fri Jun 8 22:51:23 2018 removing 5932154 relations and 3932154 ideals in 2000000 cliques Fri Jun 8 22:51:25 2018 commencing in-memory singleton removal Fri Jun 8 22:51:31 2018 begin with 65873140 relations and 57027983 unique ideals Fri Jun 8 22:52:09 2018 reduce to 65562660 relations and 52777751 ideals in 7 passes Fri Jun 8 22:52:09 2018 max relations containing the same ideal: 134 Fri Jun 8 22:52:47 2018 removing 5882143 relations and 3882143 ideals in 2000000 cliques Fri Jun 8 22:52:50 2018 commencing in-memory singleton removal Fri Jun 8 22:52:56 2018 begin with 59680517 relations and 52777751 unique ideals Fri Jun 8 22:53:38 2018 reduce to 59353717 relations and 48560182 ideals in 6 passes Fri Jun 8 22:53:38 2018 max relations containing the same ideal: 126 Fri Jun 8 22:54:07 2018 removing 5841647 relations and 3841647 ideals in 2000000 cliques Fri Jun 8 22:54:09 2018 commencing in-memory singleton removal Fri Jun 8 22:54:15 2018 begin with 53512070 relations and 48560182 unique ideals Fri Jun 8 22:54:57 2018 reduce to 53166998 relations and 44363411 ideals in 7 passes Fri Jun 8 22:54:57 2018 max relations containing the same ideal: 117 Fri Jun 8 22:55:25 2018 removing 5810861 relations and 3810861 ideals in 2000000 cliques Fri Jun 8 22:55:27 2018 commencing in-memory singleton removal Fri Jun 8 22:55:32 2018 begin with 47356137 relations and 44363411 unique ideals Fri Jun 8 22:56:01 2018 reduce to 46980757 relations and 40165177 ideals in 6 passes Fri Jun 8 22:56:01 2018 max relations containing the same ideal: 109 Fri Jun 8 22:56:23 2018 removing 5789123 relations and 3789123 ideals in 2000000 cliques Fri Jun 8 22:56:25 2018 commencing in-memory singleton removal Fri Jun 8 22:56:29 2018 begin with 41191634 relations and 40165177 unique ideals Fri Jun 8 22:56:58 2018 reduce to 40771439 relations and 35940729 ideals in 7 passes Fri Jun 8 22:56:58 2018 max relations containing the same ideal: 102 Fri Jun 8 22:57:17 2018 removing 5780219 relations and 3780219 ideals in 2000000 cliques Fri Jun 8 22:57:19 2018 commencing in-memory singleton removal Fri Jun 8 22:57:22 2018 begin with 34991220 relations and 35940729 unique ideals Fri Jun 8 22:57:44 2018 reduce to 34498105 relations and 31646724 ideals in 8 passes Fri Jun 8 22:57:44 2018 max relations containing the same ideal: 90 Fri Jun 8 22:58:02 2018 removing 5803554 relations and 3803554 ideals in 2000000 cliques Fri Jun 8 22:58:04 2018 commencing in-memory singleton removal Fri Jun 8 22:58:06 2018 begin with 28694551 relations and 31646724 unique ideals Fri Jun 8 22:58:26 2018 reduce to 28070334 relations and 27188043 ideals in 8 passes Fri Jun 8 22:58:26 2018 max relations containing the same ideal: 76 Fri Jun 8 22:58:41 2018 removing 536357 relations and 426059 ideals in 110298 cliques Fri Jun 8 22:58:42 2018 commencing in-memory singleton removal Fri Jun 8 22:58:44 2018 begin with 27533977 relations and 27188043 unique ideals Fri Jun 8 22:58:56 2018 reduce to 27524810 relations and 26752786 ideals in 5 passes Fri Jun 8 22:58:56 2018 max relations containing the same ideal: 75 Fri Jun 8 22:59:01 2018 relations with 0 large ideals: 51019 Fri Jun 8 22:59:01 2018 relations with 1 large ideals: 12269 Fri Jun 8 22:59:01 2018 relations with 2 large ideals: 149878 Fri Jun 8 22:59:01 2018 relations with 3 large ideals: 924854 Fri Jun 8 22:59:01 2018 relations with 4 large ideals: 3057851 Fri Jun 8 22:59:01 2018 relations with 5 large ideals: 5971028 Fri Jun 8 22:59:01 2018 relations with 6 large ideals: 7269185 Fri Jun 8 22:59:01 2018 relations with 7+ large ideals: 10088726 Fri Jun 8 22:59:01 2018 commencing 2-way merge Fri Jun 8 22:59:16 2018 reduce to 18814187 relation sets and 18042163 unique ideals Fri Jun 8 22:59:16 2018 commencing full merge Fri Jun 8 23:07:22 2018 memory use: 2457.2 MB Fri Jun 8 23:07:24 2018 found 8323256 cycles, need 8320363 Fri Jun 8 23:07:26 2018 weight of 8320363 cycles is about 1032477064 (124.09/cycle) Fri Jun 8 23:07:26 2018 distribution of cycle lengths: Fri Jun 8 23:07:26 2018 1 relations: 280310 Fri Jun 8 23:07:26 2018 2 relations: 406725 Fri Jun 8 23:07:26 2018 3 relations: 511076 Fri Jun 8 23:07:26 2018 4 relations: 554495 Fri Jun 8 23:07:26 2018 5 relations: 588850 Fri Jun 8 23:07:26 2018 6 relations: 599202 Fri Jun 8 23:07:26 2018 7 relations: 596523 Fri Jun 8 23:07:26 2018 8 relations: 579575 Fri Jun 8 23:07:26 2018 9 relations: 547721 Fri Jun 8 23:07:26 2018 10+ relations: 3655886 Fri Jun 8 23:07:26 2018 heaviest cycle: 28 relations Fri Jun 8 23:07:29 2018 commencing cycle optimization Fri Jun 8 23:07:51 2018 start with 79286730 relations Fri Jun 8 23:11:18 2018 pruned 4235571 relations Fri Jun 8 23:11:18 2018 memory use: 1961.3 MB Fri Jun 8 23:11:18 2018 distribution of cycle lengths: Fri Jun 8 23:11:18 2018 1 relations: 280310 Fri Jun 8 23:11:18 2018 2 relations: 416831 Fri Jun 8 23:11:18 2018 3 relations: 533045 Fri Jun 8 23:11:18 2018 4 relations: 580155 Fri Jun 8 23:11:18 2018 5 relations: 622780 Fri Jun 8 23:11:18 2018 6 relations: 633742 Fri Jun 8 23:11:18 2018 7 relations: 634895 Fri Jun 8 23:11:18 2018 8 relations: 614670 Fri Jun 8 23:11:18 2018 9 relations: 580959 Fri Jun 8 23:11:18 2018 10+ relations: 3422976 Fri Jun 8 23:11:18 2018 heaviest cycle: 28 relations Fri Jun 8 23:11:34 2018 RelProcTime: 7402 Fri Jun 8 23:11:34 2018 elapsed time 02:03:24 Sat Jun 9 20:26:46 2018 Msieve v. 1.53 (SVN unknown) Sat Jun 9 20:26:46 2018 random seeds: 4b36483a 576539e7 Sat Jun 9 20:26:46 2018 factoring 28074502122564319908979181531967537616095668707384454473748919573561082001884566015915909261090700889679832915180616153494785635778300687649218819936786961125157204537625400997331224951086304617912441364997580901 (212 digits) Sat Jun 9 20:26:47 2018 searching for 15-digit factors Sat Jun 9 20:26:48 2018 commencing number field sieve (212-digit input) Sat Jun 9 20:26:48 2018 R0: 24828921817043693312917600278892972922402 Sat Jun 9 20:26:48 2018 R1: -157571957584602258799 Sat Jun 9 20:26:48 2018 A0: -1 Sat Jun 9 20:26:48 2018 A1: 3 Sat Jun 9 20:26:48 2018 A2: 6 Sat Jun 9 20:26:48 2018 A3: -4 Sat Jun 9 20:26:48 2018 A4: -5 Sat Jun 9 20:26:48 2018 A5: 1 Sat Jun 9 20:26:48 2018 A6: 1 Sat Jun 9 20:26:48 2018 skew 1.00, size 6.476e-12, alpha 3.126, combined = 4.532e-13 rroots = 6 Sat Jun 9 20:26:48 2018 Sat Jun 9 20:26:48 2018 commencing linear algebra Sat Jun 9 20:26:49 2018 read 8320363 cycles Sat Jun 9 20:27:07 2018 cycles contain 27175002 unique relations Sat Jun 9 20:29:29 2018 read 27175002 relations Sat Jun 9 20:30:14 2018 using 20 quadratic characters above 4294917295 Sat Jun 9 20:31:58 2018 building initial matrix Sat Jun 9 20:36:42 2018 memory use: 3341.8 MB Sat Jun 9 20:36:46 2018 read 8320363 cycles Sat Jun 9 20:36:47 2018 matrix is 8320186 x 8320363 (3959.3 MB) with weight 1120048230 (134.62/col) Sat Jun 9 20:36:47 2018 sparse part has weight 954691166 (114.74/col) Sat Jun 9 20:38:25 2018 filtering completed in 2 passes Sat Jun 9 20:38:26 2018 matrix is 8320146 x 8320323 (3959.3 MB) with weight 1120046888 (134.62/col) Sat Jun 9 20:38:26 2018 sparse part has weight 954690678 (114.74/col) Sat Jun 9 20:38:49 2018 matrix starts at (0, 0) Sat Jun 9 20:38:50 2018 matrix is 8320146 x 8320323 (3959.3 MB) with weight 1120046888 (134.62/col) Sat Jun 9 20:38:50 2018 sparse part has weight 954690678 (114.74/col) Sat Jun 9 20:38:50 2018 saving the first 48 matrix rows for later Sat Jun 9 20:38:51 2018 matrix includes 64 packed rows Sat Jun 9 20:38:52 2018 matrix is 8320098 x 8320323 (3803.5 MB) with weight 973319173 (116.98/col) Sat Jun 9 20:38:52 2018 sparse part has weight 913873034 (109.84/col) Sat Jun 9 20:38:53 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Sat Jun 9 20:39:25 2018 commencing Lanczos iteration (4 threads) Sat Jun 9 20:39:25 2018 memory use: 3244.0 MB Sat Jun 9 20:40:01 2018 linear algebra at 0.0%, ETA 53h16m Sat Jun 9 20:40:13 2018 checkpointing every 160000 dimensions Mon Jun 11 18:45:12 2018 lanczos halted after 131579 iterations (dim = 8320096) Mon Jun 11 18:45:27 2018 recovered 33 nontrivial dependencies Mon Jun 11 18:45:28 2018 BLanczosTime: 166720 Mon Jun 11 18:45:28 2018 Mon Jun 11 18:45:28 2018 commencing square root phase Mon Jun 11 18:45:28 2018 handling dependencies 1 to 64 Mon Jun 11 18:45:28 2018 reading relations for dependency 1 Mon Jun 11 18:45:28 2018 read 4160429 cycles Mon Jun 11 18:45:35 2018 cycles contain 13589186 unique relations Mon Jun 11 18:46:46 2018 read 13589186 relations Mon Jun 11 18:47:30 2018 multiplying 13589186 relations Mon Jun 11 18:55:47 2018 multiply complete, coefficients have about 337.29 million bits Mon Jun 11 18:55:49 2018 initial square root is modulo 1127323 Mon Jun 11 19:04:57 2018 sqrtTime: 1169 Mon Jun 11 19:04:57 2018 p71 factor: 53677935749092399014277410726589252694639829525402193389545236168191673 Mon Jun 11 19:04:57 2018 p141 factor: 523017544001568859649473631959326860649662226150642799430567640987911502551976998226578255541778046176131367547469544336641133738271439393037 Mon Jun 11 19:04:57 2018 elapsed time 46:38:11