Mon Aug 23 14:30:16 2021 Mon Aug 23 14:30:16 2021 Mon Aug 23 14:30:16 2021 Msieve v. 1.54 (SVN 1028) Mon Aug 23 14:30:16 2021 random seeds: 2b47b061 f479db1e Mon Aug 23 14:30:16 2021 factoring 6497796283085790617646059150372366964606368896700914231897112007877472465041361104816633385368204738329247234286008433271383657849259390181995253232549627282181602450877054088274812983092443583055528120564219365658125347735106734265115515083 (241 digits) Mon Aug 23 14:30:17 2021 no P-1/P+1/ECM available, skipping Mon Aug 23 14:30:17 2021 commencing number field sieve (241-digit input) Mon Aug 23 14:30:17 2021 R0: 713623846352979940529142984724747568191373312 Mon Aug 23 14:30:17 2021 R1: -1 Mon Aug 23 14:30:17 2021 A0: -1 Mon Aug 23 14:30:17 2021 A1: 0 Mon Aug 23 14:30:17 2021 A2: 0 Mon Aug 23 14:30:17 2021 A3: 0 Mon Aug 23 14:30:17 2021 A4: 0 Mon Aug 23 14:30:17 2021 A5: 0 Mon Aug 23 14:30:17 2021 A6: 13 Mon Aug 23 14:30:17 2021 skew 0.67, size 2.510e-13, alpha 1.953, combined = 4.065e-14 rroots = 2 Mon Aug 23 14:30:17 2021 Mon Aug 23 14:30:17 2021 commencing relation filtering Mon Aug 23 14:30:17 2021 setting target matrix density to 120.0 Mon Aug 23 14:30:17 2021 estimated available RAM is 128853.3 MB Mon Aug 23 14:30:17 2021 commencing duplicate removal, pass 1 Mon Aug 23 14:35:42 2021 error -15 reading relation 33479915 Mon Aug 23 14:43:21 2021 error -15 reading relation 83746502 Mon Aug 23 14:57:00 2021 error -15 reading relation 174345696 Mon Aug 23 15:00:33 2021 error -15 reading relation 197420759 Mon Aug 23 15:07:46 2021 error -1 reading relation 245265133 Mon Aug 23 15:20:12 2021 error -15 reading relation 327566596 Mon Aug 23 15:20:12 2021 error -1 reading relation 327585902 Mon Aug 23 15:20:26 2021 error -11 reading relation 329223909 Mon Aug 23 15:21:12 2021 skipped 3183 relations with b > 2^32 Mon Aug 23 15:21:12 2021 skipped 4 relations with composite factors Mon Aug 23 15:21:12 2021 found 23585900 hash collisions in 334654312 relations Mon Aug 23 15:21:30 2021 added 1218188 free relations Mon Aug 23 15:21:30 2021 commencing duplicate removal, pass 2 Mon Aug 23 15:23:32 2021 found 1 duplicates and 335872499 unique relations Mon Aug 23 15:23:32 2021 memory use: 1257.5 MB Mon Aug 23 15:23:32 2021 reading ideals above 720000 Mon Aug 23 15:23:32 2021 commencing singleton removal, initial pass Mon Aug 23 16:14:47 2021 memory use: 11024.0 MB Mon Aug 23 16:14:48 2021 reading all ideals from disk Mon Aug 23 16:15:07 2021 memory use: 14215.7 MB Mon Aug 23 16:16:05 2021 keeping 332032895 ideals with weight <= 200, target excess is 1729353 Mon Aug 23 16:17:25 2021 commencing in-memory singleton removal Mon Aug 23 16:18:39 2021 begin with 335872499 relations and 332032895 unique ideals Mon Aug 23 16:29:03 2021 reduce to 192438741 relations and 171629841 ideals in 19 passes Mon Aug 23 16:29:03 2021 max relations containing the same ideal: 149 Mon Aug 23 16:31:03 2021 removing 15563604 relations and 13563604 ideals in 2000000 cliques Mon Aug 23 16:31:08 2021 commencing in-memory singleton removal Mon Aug 23 16:31:29 2021 begin with 176875137 relations and 171629841 unique ideals Mon Aug 23 16:35:17 2021 reduce to 175822916 relations and 156998886 ideals in 10 passes Mon Aug 23 16:35:17 2021 max relations containing the same ideal: 140 Mon Aug 23 16:37:05 2021 removing 11695469 relations and 9695469 ideals in 2000000 cliques Mon Aug 23 16:37:11 2021 commencing in-memory singleton removal Mon Aug 23 16:37:30 2021 begin with 164127447 relations and 156998886 unique ideals Mon Aug 23 16:40:17 2021 reduce to 163455475 relations and 146623327 ideals in 8 passes Mon Aug 23 16:40:17 2021 max relations containing the same ideal: 130 Mon Aug 23 16:41:58 2021 removing 10511536 relations and 8511536 ideals in 2000000 cliques Mon Aug 23 16:42:04 2021 commencing in-memory singleton removal Mon Aug 23 16:42:21 2021 begin with 152943939 relations and 146623327 unique ideals Mon Aug 23 16:45:37 2021 reduce to 152356918 relations and 137517785 ideals in 10 passes Mon Aug 23 16:45:37 2021 max relations containing the same ideal: 125 Mon Aug 23 16:47:12 2021 removing 9901573 relations and 7901573 ideals in 2000000 cliques Mon Aug 23 16:47:16 2021 commencing in-memory singleton removal Mon Aug 23 16:47:32 2021 begin with 142455345 relations and 137517785 unique ideals Mon Aug 23 16:50:05 2021 reduce to 141897699 relations and 129051679 ideals in 9 passes Mon Aug 23 16:50:05 2021 max relations containing the same ideal: 119 Mon Aug 23 16:51:32 2021 removing 9529159 relations and 7529159 ideals in 2000000 cliques Mon Aug 23 16:51:37 2021 commencing in-memory singleton removal Mon Aug 23 16:51:52 2021 begin with 132368540 relations and 129051679 unique ideals Mon Aug 23 16:54:03 2021 reduce to 131813992 relations and 120960835 ideals in 8 passes Mon Aug 23 16:54:03 2021 max relations containing the same ideal: 114 Mon Aug 23 16:55:24 2021 removing 9295631 relations and 7295631 ideals in 2000000 cliques Mon Aug 23 16:55:28 2021 commencing in-memory singleton removal Mon Aug 23 16:55:41 2021 begin with 122518361 relations and 120960835 unique ideals Mon Aug 23 16:57:55 2021 reduce to 121953131 relations and 113092279 ideals in 9 passes Mon Aug 23 16:57:55 2021 max relations containing the same ideal: 108 Mon Aug 23 16:59:08 2021 removing 9155961 relations and 7155961 ideals in 2000000 cliques Mon Aug 23 16:59:11 2021 commencing in-memory singleton removal Mon Aug 23 16:59:23 2021 begin with 112797170 relations and 113092279 unique ideals Mon Aug 23 17:01:18 2021 reduce to 112207242 relations and 105337973 ideals in 9 passes Mon Aug 23 17:01:18 2021 max relations containing the same ideal: 104 Mon Aug 23 17:02:25 2021 removing 9078530 relations and 7078530 ideals in 2000000 cliques Mon Aug 23 17:02:29 2021 commencing in-memory singleton removal Mon Aug 23 17:02:40 2021 begin with 103128712 relations and 105337973 unique ideals Mon Aug 23 17:04:42 2021 reduce to 102495599 relations and 97616400 ideals in 10 passes Mon Aug 23 17:04:42 2021 max relations containing the same ideal: 97 Mon Aug 23 17:05:41 2021 removing 9059680 relations and 7059680 ideals in 2000000 cliques Mon Aug 23 17:05:45 2021 commencing in-memory singleton removal Mon Aug 23 17:05:55 2021 begin with 93435919 relations and 97616400 unique ideals Mon Aug 23 17:07:16 2021 reduce to 92747603 relations and 89856916 ideals in 8 passes Mon Aug 23 17:07:16 2021 max relations containing the same ideal: 92 Mon Aug 23 17:08:11 2021 removing 4761825 relations and 3877188 ideals in 884637 cliques Mon Aug 23 17:08:14 2021 commencing in-memory singleton removal Mon Aug 23 17:08:23 2021 begin with 87985778 relations and 89856916 unique ideals Mon Aug 23 17:09:48 2021 reduce to 87793208 relations and 85785548 ideals in 9 passes Mon Aug 23 17:09:48 2021 max relations containing the same ideal: 89 Mon Aug 23 17:10:53 2021 relations with 0 large ideals: 66250 Mon Aug 23 17:10:53 2021 relations with 1 large ideals: 31266 Mon Aug 23 17:10:53 2021 relations with 2 large ideals: 403666 Mon Aug 23 17:10:53 2021 relations with 3 large ideals: 2526848 Mon Aug 23 17:10:53 2021 relations with 4 large ideals: 8676337 Mon Aug 23 17:10:53 2021 relations with 5 large ideals: 17950895 Mon Aug 23 17:10:53 2021 relations with 6 large ideals: 23395248 Mon Aug 23 17:10:53 2021 relations with 7+ large ideals: 34742698 Mon Aug 23 17:10:53 2021 commencing 2-way merge Mon Aug 23 17:12:04 2021 reduce to 54697721 relation sets and 52690061 unique ideals Mon Aug 23 17:12:04 2021 commencing full merge Mon Aug 23 17:35:49 2021 memory use: 6727.8 MB Mon Aug 23 17:35:54 2021 found 24225641 cycles, need 24164261 Mon Aug 23 17:36:04 2021 weight of 24164261 cycles is about 2900401340 (120.03/cycle) Mon Aug 23 17:36:04 2021 distribution of cycle lengths: Mon Aug 23 17:36:04 2021 1 relations: 1892016 Mon Aug 23 17:36:04 2021 2 relations: 1819239 Mon Aug 23 17:36:04 2021 3 relations: 1812883 Mon Aug 23 17:36:04 2021 4 relations: 1745791 Mon Aug 23 17:36:04 2021 5 relations: 1689416 Mon Aug 23 17:36:04 2021 6 relations: 1618818 Mon Aug 23 17:36:04 2021 7 relations: 1529638 Mon Aug 23 17:36:04 2021 8 relations: 1446166 Mon Aug 23 17:36:04 2021 9 relations: 1353903 Mon Aug 23 17:36:04 2021 10+ relations: 9256391 Mon Aug 23 17:36:04 2021 heaviest cycle: 28 relations Mon Aug 23 17:36:10 2021 commencing cycle optimization Mon Aug 23 17:37:05 2021 start with 207560400 relations Mon Aug 23 17:45:40 2021 pruned 8115076 relations Mon Aug 23 17:45:41 2021 memory use: 5714.3 MB Mon Aug 23 17:45:41 2021 distribution of cycle lengths: Mon Aug 23 17:45:41 2021 1 relations: 1892016 Mon Aug 23 17:45:41 2021 2 relations: 1861332 Mon Aug 23 17:45:41 2021 3 relations: 1882993 Mon Aug 23 17:45:41 2021 4 relations: 1808554 Mon Aug 23 17:45:41 2021 5 relations: 1760901 Mon Aug 23 17:45:41 2021 6 relations: 1678878 Mon Aug 23 17:45:41 2021 7 relations: 1590277 Mon Aug 23 17:45:41 2021 8 relations: 1495297 Mon Aug 23 17:45:41 2021 9 relations: 1399218 Mon Aug 23 17:45:41 2021 10+ relations: 8794795 Mon Aug 23 17:45:41 2021 heaviest cycle: 28 relations Mon Aug 23 17:46:37 2021 RelProcTime: 11780 Mon Aug 23 17:46:37 2021 elapsed time 03:16:21 Mon Aug 23 17:51:59 2021 Mon Aug 23 17:51:59 2021 Mon Aug 23 17:51:59 2021 Msieve v. 1.54 (SVN 1028) Mon Aug 23 17:51:59 2021 random seeds: 349f6367 fa4fb93c Mon Aug 23 17:51:59 2021 factoring 6497796283085790617646059150372366964606368896700914231897112007877472465041361104816633385368204738329247234286008433271383657849259390181995253232549627282181602450877054088274812983092443583055528120564219365658125347735106734265115515083 (241 digits) Mon Aug 23 17:52:01 2021 no P-1/P+1/ECM available, skipping Mon Aug 23 17:52:01 2021 commencing number field sieve (241-digit input) Mon Aug 23 17:52:01 2021 R0: 713623846352979940529142984724747568191373312 Mon Aug 23 17:52:01 2021 R1: -1 Mon Aug 23 17:52:01 2021 A0: -1 Mon Aug 23 17:52:01 2021 A1: 0 Mon Aug 23 17:52:01 2021 A2: 0 Mon Aug 23 17:52:01 2021 A3: 0 Mon Aug 23 17:52:01 2021 A4: 0 Mon Aug 23 17:52:01 2021 A5: 0 Mon Aug 23 17:52:01 2021 A6: 13 Mon Aug 23 17:52:01 2021 skew 0.67, size 2.510e-13, alpha 1.953, combined = 4.065e-14 rroots = 2 Mon Aug 23 17:52:01 2021 Mon Aug 23 17:52:01 2021 commencing linear algebra Mon Aug 23 17:52:05 2021 read 24164261 cycles Mon Aug 23 17:53:08 2021 cycles contain 86449665 unique relations Mon Aug 23 18:01:09 2021 read 86449665 relations Mon Aug 23 18:04:18 2021 using 20 quadratic characters above 4294917295 Mon Aug 23 18:11:00 2021 building initial matrix Mon Aug 23 18:29:51 2021 memory use: 10929.4 MB Mon Aug 23 18:30:06 2021 read 24164261 cycles Mon Aug 23 18:30:09 2021 matrix is 24164084 x 24164261 (11299.0 MB) with weight 3207375297 (132.73/col) Mon Aug 23 18:30:09 2021 sparse part has weight 2720328240 (112.58/col) Mon Aug 23 18:37:38 2021 filtering completed in 2 passes Mon Aug 23 18:37:43 2021 matrix is 24162953 x 24163128 (11298.9 MB) with weight 3207337797 (132.74/col) Mon Aug 23 18:37:43 2021 sparse part has weight 2720314834 (112.58/col) Mon Aug 23 18:39:05 2021 matrix starts at (0, 0) Mon Aug 23 18:39:08 2021 matrix is 24162953 x 24163128 (11298.9 MB) with weight 3207337797 (132.74/col) Mon Aug 23 18:39:08 2021 sparse part has weight 2720314834 (112.58/col) Mon Aug 23 18:39:08 2021 saving the first 112 matrix rows for later Mon Aug 23 18:39:13 2021 matrix includes 128 packed rows Mon Aug 23 18:39:20 2021 matrix is 24162841 x 24163128 (10572.3 MB) with weight 2606612305 (107.88/col) Mon Aug 23 18:39:20 2021 sparse part has weight 2481512144 (102.70/col) Mon Aug 23 18:39:20 2021 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB Mon Aug 23 18:41:15 2021 commencing Lanczos iteration (10 threads) Mon Aug 23 18:41:15 2021 memory use: 11808.0 MB Mon Aug 23 18:42:36 2021 linear algebra at 0.0%, ETA 320h13m Mon Aug 23 18:43:01 2021 checkpointing every 80000 dimensions Fri Sep 3 22:06:10 2021 lanczos halted after 189912 iterations (dim = 24162841) Fri Sep 3 22:06:52 2021 recovered 39 nontrivial dependencies Fri Sep 3 22:06:54 2021 BLanczosTime: 965693 Fri Sep 3 22:06:54 2021 Fri Sep 3 22:06:54 2021 commencing square root phase Fri Sep 3 22:06:54 2021 reading relations for dependency 1 Fri Sep 3 22:06:58 2021 read 12082878 cycles Fri Sep 3 22:07:25 2021 cycles contain 43237850 unique relations Fri Sep 3 22:11:56 2021 read 43237850 relations Fri Sep 3 22:15:32 2021 multiplying 43237850 relations Fri Sep 3 22:56:25 2021 multiply complete, coefficients have about 1278.37 million bits Fri Sep 3 22:56:29 2021 initial square root is modulo 542557 Fri Sep 3 23:38:46 2021 sqrtTime: 5512 Fri Sep 3 23:38:46 2021 p85 factor: 1143204596151123336717659857898059154809096022379362712584970085350082430059856543207 Fri Sep 3 23:38:46 2021 p157 factor: 5683843736250015204489421274638790828591294130741328633239683143654973419998914703899331955577037330073358881172422196032548811666280410687173298960325593469 Fri Sep 3 23:38:46 2021 elapsed time 269:46:47