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- Thu Jul 29 13:21:05 2021
- Thu Jul 29 13:21:05 2021
- Thu Jul 29 13:21:05 2021 Msieve v. 1.52 (SVN unknown)
- Thu Jul 29 13:21:05 2021 random seeds: f0663154 01da0acb
- Thu Jul 29 13:21:05 2021 factoring 241700746844991235723017950427010444254421142531883825792574451164987785623335803815879606651370554983701789967487059900389316891894504260721078703876435817693683514973117749294082984271028916268770662513744395196526568423279855356930176747887193323975822106320597917 (267 digits)
- Thu Jul 29 13:21:06 2021 no P-1/P+1/ECM available, skipping
- Thu Jul 29 13:21:06 2021 commencing number field sieve (267-digit input)
- Thu Jul 29 13:21:06 2021 R0: 249578021552674943383857301495274821902558283
- Thu Jul 29 13:21:06 2021 R1: -1
- Thu Jul 29 13:21:06 2021 A0: -1
- Thu Jul 29 13:21:06 2021 A1: 0
- Thu Jul 29 13:21:06 2021 A2: 0
- Thu Jul 29 13:21:06 2021 A3: 0
- Thu Jul 29 13:21:06 2021 A4: 0
- Thu Jul 29 13:21:06 2021 A5: 0
- Thu Jul 29 13:21:06 2021 A6: 10867
- Thu Jul 29 13:21:06 2021 skew 0.21, size 1.522e-013, alpha 0.830, combined = 2.887e-014 rroots = 2
- Thu Jul 29 13:21:06 2021
- Thu Jul 29 13:21:06 2021 commencing relation filtering
- Thu Jul 29 13:21:06 2021 setting target matrix density to 124.0
- Thu Jul 29 13:21:06 2021 estimated available RAM is 130978.7 MB
- Thu Jul 29 13:21:06 2021 commencing duplicate removal, pass 1
- Thu Jul 29 13:21:07 2021 error -9 reading relation 54118
- Thu Jul 29 13:21:09 2021 error -9 reading relation 319242
- Thu Jul 29 13:21:14 2021 error -15 reading relation 856371
- Thu Jul 29 13:21:14 2021 error -9 reading relation 859057
- Thu Jul 29 13:21:18 2021 error -9 reading relation 1325170
- Thu Jul 29 13:21:18 2021 error -9 reading relation 1362755
- Thu Jul 29 13:21:27 2021 error -15 reading relation 2284195
- Thu Jul 29 14:33:19 2021 error -9 reading relation 469201103
- Thu Jul 29 14:33:20 2021 error -1 reading relation 469326301
- Thu Jul 29 14:33:20 2021 error -15 reading relation 469334946
- Thu Jul 29 14:33:22 2021 error -9 reading relation 469563760
- Thu Jul 29 14:33:22 2021 error -15 reading relation 469565800
- Thu Jul 29 14:33:22 2021 skipped 39027 relations with b > 2^32
- Thu Jul 29 14:33:22 2021 found 103646320 hash collisions in 469530791 relations
- Thu Jul 29 14:33:47 2021 added 1218079 free relations
- Thu Jul 29 14:33:47 2021 commencing duplicate removal, pass 2
- Thu Jul 29 14:37:50 2021 found 93849280 duplicates and 376899590 unique relations
- Thu Jul 29 14:37:50 2021 memory use: 2387.0 MB
- Thu Jul 29 14:37:50 2021 reading ideals above 720000
- Thu Jul 29 14:37:50 2021 commencing singleton removal, initial pass
- Thu Jul 29 15:52:52 2021 memory use: 11024.0 MB
- Thu Jul 29 15:52:53 2021 reading all ideals from disk
- Thu Jul 29 15:52:59 2021 memory use: 16098.8 MB
- Thu Jul 29 15:54:33 2021 keeping 346249683 ideals with weight <= 200, target excess is 1944845
- Thu Jul 29 15:56:07 2021 commencing in-memory singleton removal
- Thu Jul 29 15:57:15 2021 begin with 376899590 relations and 346249683 unique ideals
- Thu Jul 29 16:09:18 2021 reduce to 253381669 relations and 211081055 ideals in 14 passes
- Thu Jul 29 16:09:18 2021 max relations containing the same ideal: 163
- Thu Jul 29 16:12:31 2021 removing 13328017 relations and 11328017 ideals in 2000000 cliques
- Thu Jul 29 16:12:38 2021 commencing in-memory singleton removal
- Thu Jul 29 16:13:21 2021 begin with 240053652 relations and 211081055 unique ideals
- Thu Jul 29 16:19:12 2021 reduce to 239498470 relations and 199191791 ideals in 8 passes
- Thu Jul 29 16:19:12 2021 max relations containing the same ideal: 157
- Thu Jul 29 16:22:09 2021 removing 10095312 relations and 8095312 ideals in 2000000 cliques
- Thu Jul 29 16:22:13 2021 commencing in-memory singleton removal
- Thu Jul 29 16:22:55 2021 begin with 229403158 relations and 199191791 unique ideals
- Thu Jul 29 16:28:16 2021 reduce to 229047633 relations and 190737719 ideals in 8 passes
- Thu Jul 29 16:28:16 2021 max relations containing the same ideal: 155
- Thu Jul 29 16:31:04 2021 removing 9087419 relations and 7087419 ideals in 2000000 cliques
- Thu Jul 29 16:31:09 2021 commencing in-memory singleton removal
- Thu Jul 29 16:31:46 2021 begin with 219960214 relations and 190737719 unique ideals
- Thu Jul 29 16:36:28 2021 reduce to 219652559 relations and 183339796 ideals in 7 passes
- Thu Jul 29 16:36:28 2021 max relations containing the same ideal: 149
- Thu Jul 29 16:39:08 2021 removing 8547672 relations and 6547672 ideals in 2000000 cliques
- Thu Jul 29 16:39:13 2021 commencing in-memory singleton removal
- Thu Jul 29 16:39:49 2021 begin with 211104887 relations and 183339796 unique ideals
- Thu Jul 29 16:43:34 2021 reduce to 210821629 relations and 176506475 ideals in 6 passes
- Thu Jul 29 16:43:34 2021 max relations containing the same ideal: 145
- Thu Jul 29 16:46:08 2021 removing 8193146 relations and 6193146 ideals in 2000000 cliques
- Thu Jul 29 16:46:14 2021 commencing in-memory singleton removal
- Thu Jul 29 16:46:47 2021 begin with 202628483 relations and 176506475 unique ideals
- Thu Jul 29 16:50:34 2021 reduce to 202359122 relations and 170041474 ideals in 7 passes
- Thu Jul 29 16:50:34 2021 max relations containing the same ideal: 141
- Thu Jul 29 16:53:02 2021 removing 7950131 relations and 5950131 ideals in 2000000 cliques
- Thu Jul 29 16:53:06 2021 commencing in-memory singleton removal
- Thu Jul 29 16:53:38 2021 begin with 194408991 relations and 170041474 unique ideals
- Thu Jul 29 16:57:11 2021 reduce to 194144940 relations and 163824870 ideals in 7 passes
- Thu Jul 29 16:57:11 2021 max relations containing the same ideal: 139
- Thu Jul 29 16:59:40 2021 removing 7774065 relations and 5774065 ideals in 2000000 cliques
- Thu Jul 29 16:59:43 2021 commencing in-memory singleton removal
- Thu Jul 29 17:00:15 2021 begin with 186370875 relations and 163824870 unique ideals
- Thu Jul 29 17:03:54 2021 reduce to 186108965 relations and 157786334 ideals in 7 passes
- Thu Jul 29 17:03:54 2021 max relations containing the same ideal: 134
- Thu Jul 29 17:06:12 2021 removing 7638824 relations and 5638824 ideals in 2000000 cliques
- Thu Jul 29 17:06:17 2021 commencing in-memory singleton removal
- Thu Jul 29 17:06:58 2021 begin with 178470141 relations and 157786334 unique ideals
- Thu Jul 29 17:10:21 2021 reduce to 178208997 relations and 151883768 ideals in 7 passes
- Thu Jul 29 17:10:21 2021 max relations containing the same ideal: 130
- Thu Jul 29 17:12:45 2021 removing 7544711 relations and 5544711 ideals in 2000000 cliques
- Thu Jul 29 17:12:49 2021 commencing in-memory singleton removal
- Thu Jul 29 17:13:16 2021 begin with 170664286 relations and 151883768 unique ideals
- Thu Jul 29 17:16:21 2021 reduce to 170401504 relations and 146073491 ideals in 7 passes
- Thu Jul 29 17:16:21 2021 max relations containing the same ideal: 127
- Thu Jul 29 17:18:28 2021 removing 7475519 relations and 5475519 ideals in 2000000 cliques
- Thu Jul 29 17:18:31 2021 commencing in-memory singleton removal
- Thu Jul 29 17:18:57 2021 begin with 162925985 relations and 146073491 unique ideals
- Thu Jul 29 17:21:58 2021 reduce to 162655499 relations and 140324640 ideals in 7 passes
- Thu Jul 29 17:21:58 2021 max relations containing the same ideal: 120
- Thu Jul 29 17:23:59 2021 removing 7427718 relations and 5427718 ideals in 2000000 cliques
- Thu Jul 29 17:24:03 2021 commencing in-memory singleton removal
- Thu Jul 29 17:24:28 2021 begin with 155227781 relations and 140324640 unique ideals
- Thu Jul 29 17:27:02 2021 reduce to 154952209 relations and 134618291 ideals in 6 passes
- Thu Jul 29 17:27:02 2021 max relations containing the same ideal: 118
- Thu Jul 29 17:29:01 2021 removing 7398426 relations and 5398426 ideals in 2000000 cliques
- Thu Jul 29 17:29:04 2021 commencing in-memory singleton removal
- Thu Jul 29 17:29:27 2021 begin with 147553783 relations and 134618291 unique ideals
- Thu Jul 29 17:32:02 2021 reduce to 147269557 relations and 128932355 ideals in 7 passes
- Thu Jul 29 17:32:02 2021 max relations containing the same ideal: 112
- Thu Jul 29 17:33:50 2021 removing 7379425 relations and 5379425 ideals in 2000000 cliques
- Thu Jul 29 17:33:53 2021 commencing in-memory singleton removal
- Thu Jul 29 17:34:15 2021 begin with 139890132 relations and 128932355 unique ideals
- Thu Jul 29 17:36:41 2021 reduce to 139593915 relations and 123253031 ideals in 7 passes
- Thu Jul 29 17:36:41 2021 max relations containing the same ideal: 108
- Thu Jul 29 17:38:25 2021 removing 7376216 relations and 5376216 ideals in 2000000 cliques
- Thu Jul 29 17:38:28 2021 commencing in-memory singleton removal
- Thu Jul 29 17:38:48 2021 begin with 132217699 relations and 123253031 unique ideals
- Thu Jul 29 17:41:18 2021 reduce to 131907632 relations and 117562867 ideals in 7 passes
- Thu Jul 29 17:41:18 2021 max relations containing the same ideal: 104
- Thu Jul 29 17:42:55 2021 removing 7384504 relations and 5384504 ideals in 2000000 cliques
- Thu Jul 29 17:42:59 2021 commencing in-memory singleton removal
- Thu Jul 29 17:43:19 2021 begin with 124523128 relations and 117562867 unique ideals
- Thu Jul 29 17:45:33 2021 reduce to 124199103 relations and 111849984 ideals in 7 passes
- Thu Jul 29 17:45:33 2021 max relations containing the same ideal: 101
- Thu Jul 29 17:47:05 2021 removing 7405532 relations and 5405532 ideals in 2000000 cliques
- Thu Jul 29 17:47:09 2021 commencing in-memory singleton removal
- Thu Jul 29 17:47:27 2021 begin with 116793571 relations and 111849984 unique ideals
- Thu Jul 29 17:49:30 2021 reduce to 116447827 relations and 106093782 ideals in 7 passes
- Thu Jul 29 17:49:30 2021 max relations containing the same ideal: 96
- Thu Jul 29 17:50:58 2021 removing 7436989 relations and 5436989 ideals in 2000000 cliques
- Thu Jul 29 17:51:01 2021 commencing in-memory singleton removal
- Thu Jul 29 17:51:18 2021 begin with 109010838 relations and 106093782 unique ideals
- Thu Jul 29 17:52:57 2021 reduce to 108641095 relations and 100281641 ideals in 6 passes
- Thu Jul 29 17:52:57 2021 max relations containing the same ideal: 93
- Thu Jul 29 17:54:24 2021 removing 7479340 relations and 5479340 ideals in 2000000 cliques
- Thu Jul 29 17:54:28 2021 commencing in-memory singleton removal
- Thu Jul 29 17:54:44 2021 begin with 101161755 relations and 100281641 unique ideals
- Thu Jul 29 17:56:50 2021 reduce to 100763599 relations and 94397828 ideals in 7 passes
- Thu Jul 29 17:56:50 2021 max relations containing the same ideal: 90
- Thu Jul 29 17:58:08 2021 removing 7539489 relations and 5539489 ideals in 2000000 cliques
- Thu Jul 29 17:58:11 2021 commencing in-memory singleton removal
- Thu Jul 29 17:58:25 2021 begin with 93224110 relations and 94397828 unique ideals
- Thu Jul 29 18:00:00 2021 reduce to 92789823 relations and 88416709 ideals in 7 passes
- Thu Jul 29 18:00:00 2021 max relations containing the same ideal: 86
- Thu Jul 29 18:01:16 2021 removing 7612717 relations and 5612717 ideals in 2000000 cliques
- Thu Jul 29 18:01:19 2021 commencing in-memory singleton removal
- Thu Jul 29 18:01:32 2021 begin with 85177106 relations and 88416709 unique ideals
- Thu Jul 29 18:03:25 2021 reduce to 84692284 relations and 82310395 ideals in 9 passes
- Thu Jul 29 18:03:25 2021 max relations containing the same ideal: 80
- Thu Jul 29 18:04:34 2021 removing 765558 relations and 639690 ideals in 125868 cliques
- Thu Jul 29 18:04:36 2021 commencing in-memory singleton removal
- Thu Jul 29 18:04:49 2021 begin with 83926726 relations and 82310395 unique ideals
- Thu Jul 29 18:05:59 2021 reduce to 83922369 relations and 81666343 ideals in 5 passes
- Thu Jul 29 18:05:59 2021 max relations containing the same ideal: 79
- Thu Jul 29 18:06:25 2021 relations with 0 large ideals: 73539
- Thu Jul 29 18:06:25 2021 relations with 1 large ideals: 36026
- Thu Jul 29 18:06:25 2021 relations with 2 large ideals: 478793
- Thu Jul 29 18:06:25 2021 relations with 3 large ideals: 2854613
- Thu Jul 29 18:06:25 2021 relations with 4 large ideals: 9281696
- Thu Jul 29 18:06:25 2021 relations with 5 large ideals: 18170460
- Thu Jul 29 18:06:25 2021 relations with 6 large ideals: 22370598
- Thu Jul 29 18:06:25 2021 relations with 7+ large ideals: 30656644
- Thu Jul 29 18:06:25 2021 commencing 2-way merge
- Thu Jul 29 18:07:54 2021 reduce to 54883381 relation sets and 52627355 unique ideals
- Thu Jul 29 18:07:54 2021 commencing full merge
- Thu Jul 29 18:41:52 2021 memory use: 6883.7 MB
- Thu Jul 29 18:42:06 2021 found 24517097 cycles, need 24379555
- Thu Jul 29 18:42:08 2021 weight of 24379555 cycles is about 3023752285 (124.03/cycle)
- Thu Jul 29 18:42:08 2021 distribution of cycle lengths:
- Thu Jul 29 18:42:08 2021 1 relations: 1257517
- Thu Jul 29 18:42:08 2021 2 relations: 1568491
- Thu Jul 29 18:42:08 2021 3 relations: 1739744
- Thu Jul 29 18:42:08 2021 4 relations: 1746612
- Thu Jul 29 18:42:08 2021 5 relations: 1761102
- Thu Jul 29 18:42:08 2021 6 relations: 1715625
- Thu Jul 29 18:42:08 2021 7 relations: 1676183
- Thu Jul 29 18:42:08 2021 8 relations: 1594271
- Thu Jul 29 18:42:08 2021 9 relations: 1512845
- Thu Jul 29 18:42:08 2021 10+ relations: 9807165
- Thu Jul 29 18:42:08 2021 heaviest cycle: 28 relations
- Thu Jul 29 18:43:20 2021 commencing cycle optimization
- Thu Jul 29 18:44:23 2021 start with 215865587 relations
- Thu Jul 29 18:58:51 2021 pruned 9702121 relations
- Thu Jul 29 18:58:52 2021 memory use: 5686.9 MB
- Thu Jul 29 18:58:52 2021 distribution of cycle lengths:
- Thu Jul 29 18:58:52 2021 1 relations: 1257517
- Thu Jul 29 18:58:52 2021 2 relations: 1606738
- Thu Jul 29 18:58:52 2021 3 relations: 1813527
- Thu Jul 29 18:58:52 2021 4 relations: 1819208
- Thu Jul 29 18:58:52 2021 5 relations: 1847037
- Thu Jul 29 18:58:52 2021 6 relations: 1796879
- Thu Jul 29 18:58:52 2021 7 relations: 1759390
- Thu Jul 29 18:58:52 2021 8 relations: 1668848
- Thu Jul 29 18:58:52 2021 9 relations: 1579625
- Thu Jul 29 18:58:52 2021 10+ relations: 9230786
- Thu Jul 29 18:58:52 2021 heaviest cycle: 28 relations
- Thu Jul 29 19:00:34 2021 RelProcTime: 20368
- Thu Jul 29 19:00:34 2021
- Thu Jul 29 19:00:34 2021 commencing linear algebra
- Thu Jul 29 19:00:47 2021 read 24379555 cycles
- Thu Jul 29 19:02:00 2021 cycles contain 82759065 unique relations
- Thu Jul 29 19:18:01 2021 read 82759065 relations
- Thu Jul 29 19:21:38 2021 using 20 quadratic characters above 4294917296
- Thu Jul 29 19:28:39 2021 building initial matrix
- Thu Jul 29 19:52:17 2021 memory use: 10944.0 MB
- Thu Jul 29 19:53:06 2021 read 24379555 cycles
- Thu Jul 29 19:53:15 2021 matrix is 24379378 x 24379555 (11800.7 MB) with weight 3426500083 (140.55/col)
- Thu Jul 29 19:53:15 2021 sparse part has weight 2825295393 (115.89/col)
- Thu Jul 29 20:03:59 2021 filtering completed in 2 passes
- Thu Jul 29 20:04:11 2021 matrix is 24378667 x 24378844 (11800.6 MB) with weight 3426472329 (140.55/col)
- Thu Jul 29 20:04:11 2021 sparse part has weight 2825285704 (115.89/col)
- Thu Jul 29 20:06:56 2021 matrix starts at (0, 0)
- Thu Jul 29 20:07:07 2021 matrix is 24378667 x 24378844 (11800.6 MB) with weight 3426472329 (140.55/col)
- Thu Jul 29 20:07:07 2021 sparse part has weight 2825285704 (115.89/col)
- Thu Jul 29 20:07:07 2021 saving the first 48 matrix rows for later
- Thu Jul 29 20:07:21 2021 matrix includes 64 packed rows
- Thu Jul 29 20:07:27 2021 matrix is 24378619 x 24378844 (11423.2 MB) with weight 2954918119 (121.21/col)
- Thu Jul 29 20:07:27 2021 sparse part has weight 2750730049 (112.83/col)
- Thu Jul 29 20:07:27 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
- Thu Jul 29 20:11:05 2021 commencing Lanczos iteration (24 threads)
- Thu Jul 29 20:11:05 2021 memory use: 9916.5 MB
- Thu Jul 29 20:12:25 2021 linear algebra at 0.0%, ETA 339h54m
- Thu Jul 29 20:12:52 2021 checkpointing every 80000 dimensions
- Thu Aug 05 21:00:23 2021
- Thu Aug 05 21:00:23 2021
- Thu Aug 05 21:00:23 2021 Msieve v. 1.52 (SVN unknown)
- Thu Aug 05 21:00:23 2021 random seeds: 70746690 002e4629
- Thu Aug 05 21:00:23 2021 factoring 241700746844991235723017950427010444254421142531883825792574451164987785623335803815879606651370554983701789967487059900389316891894504260721078703876435817693683514973117749294082984271028916268770662513744395196526568423279855356930176747887193323975822106320597917 (267 digits)
- Thu Aug 05 21:00:24 2021 no P-1/P+1/ECM available, skipping
- Thu Aug 05 21:00:25 2021 commencing number field sieve (267-digit input)
- Thu Aug 05 21:00:25 2021 R0: 249578021552674943383857301495274821902558283
- Thu Aug 05 21:00:25 2021 R1: -1
- Thu Aug 05 21:00:25 2021 A0: -1
- Thu Aug 05 21:00:25 2021 A1: 0
- Thu Aug 05 21:00:25 2021 A2: 0
- Thu Aug 05 21:00:25 2021 A3: 0
- Thu Aug 05 21:00:25 2021 A4: 0
- Thu Aug 05 21:00:25 2021 A5: 0
- Thu Aug 05 21:00:25 2021 A6: 10867
- Thu Aug 05 21:00:25 2021 skew 0.21, size 1.522e-013, alpha 0.830, combined = 2.887e-014 rroots = 2
- Thu Aug 05 21:00:25 2021
- Thu Aug 05 21:00:25 2021 commencing linear algebra
- Thu Aug 05 21:00:54 2021 matrix starts at (0, 0)
- Thu Aug 05 21:01:02 2021 matrix is 24378667 x 24378844 (11800.6 MB) with weight 3426472329 (140.55/col)
- Thu Aug 05 21:01:02 2021 sparse part has weight 2825285704 (115.89/col)
- Thu Aug 05 21:01:02 2021 saving the first 48 matrix rows for later
- Thu Aug 05 21:01:10 2021 matrix includes 64 packed rows
- Thu Aug 05 21:01:15 2021 matrix is 24378619 x 24378844 (11423.2 MB) with weight 2954918119 (121.21/col)
- Thu Aug 05 21:01:15 2021 sparse part has weight 2750730049 (112.83/col)
- Thu Aug 05 21:01:15 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
- Thu Aug 05 21:04:28 2021 commencing Lanczos iteration (24 threads)
- Thu Aug 05 21:04:28 2021 memory use: 9916.5 MB
- Thu Aug 05 21:04:30 2021 restarting at iteration 260616 (dim = 16480051)
- Thu Aug 05 21:05:19 2021 linear algebra at 67.6%, ETA 70h34m
- Thu Aug 05 21:05:34 2021 checkpointing every 120000 dimensions
- Sun Aug 08 23:32:57 2021 lanczos halted after 385517 iterations (dim = 24378617)
- Sun Aug 08 23:33:30 2021 recovered 33 nontrivial dependencies
- Sun Aug 08 23:33:50 2021 BLanczosTime: 268405
- Sun Aug 08 23:33:50 2021
- Sun Aug 08 23:33:50 2021 commencing square root phase
- Sun Aug 08 23:33:50 2021 reading relations for dependency 1
- Sun Aug 08 23:33:56 2021 read 12188716 cycles
- Sun Aug 08 23:34:26 2021 cycles contain 41379900 unique relations
- Sun Aug 08 23:42:17 2021 read 41379900 relations
- Sun Aug 08 23:46:41 2021 multiplying 41379900 relations
- Mon Aug 09 00:45:18 2021 multiply complete, coefficients have about 1604.14 million bits
- Mon Aug 09 00:45:35 2021 initial square root is modulo 15694291
- Mon Aug 09 01:57:17 2021 GCD is 1, no factor found
- Mon Aug 09 01:57:17 2021 reading relations for dependency 2
- Mon Aug 09 01:57:22 2021 read 12190581 cycles
- Mon Aug 09 01:57:52 2021 cycles contain 41375302 unique relations
- Mon Aug 09 02:04:58 2021 read 41375302 relations
- Mon Aug 09 02:09:21 2021 multiplying 41375302 relations
- Mon Aug 09 03:07:53 2021 multiply complete, coefficients have about 1603.99 million bits
- Mon Aug 09 03:08:09 2021 initial square root is modulo 15670021
- Mon Aug 09 04:19:53 2021 sqrtTime: 17163
- Mon Aug 09 04:19:53 2021 prp87 factor: 499440206969936195808840513969504047004344272066645729805787292880126680392603396422827
- Mon Aug 09 04:19:53 2021 prp180 factor: 483943309873608979644443704042868778095961169333213348949607806419091113615816792255401922450652799876529958428881497342368561797459978512038230484126530224739565950870433581203671
- Mon Aug 09 04:19:53 2021 elapsed time 79:19:30
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