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- Sat Nov 20 20:47:48 2021
- Sat Nov 20 20:47:48 2021
- Sat Nov 20 20:47:48 2021 Msieve v. 1.54 (SVN unknown)
- Sat Nov 20 20:47:48 2021 random seeds: 810d5659 237107ea
- Sat Nov 20 20:47:48 2021 factoring 13015046383291966299029524499232332979627208864606132257612989598363285014299310091474870170399733968479249734077381045809610690851594677106524151381502220791629044950889260785467482260362103569777901131841 (206 digits)
- Sat Nov 20 20:47:49 2021 no P-1/P+1/ECM available, skipping
- Sat Nov 20 20:47:49 2021 commencing number field sieve (206-digit input)
- Sat Nov 20 20:47:49 2021 R0: -16173092699229880893718618465586445357585586490849873651561
- Sat Nov 20 20:47:49 2021 R1: 136551478823710021067381144334863695872
- Sat Nov 20 20:47:49 2021 A0: -4
- Sat Nov 20 20:47:49 2021 A1: 12
- Sat Nov 20 20:47:49 2021 A2: -6
- Sat Nov 20 20:47:49 2021 A3: -2
- Sat Nov 20 20:47:49 2021 A4: 1
- Sat Nov 20 20:47:49 2021 skew 1.41, size 1.236e-23, alpha 1.793, combined = 4.173e-14 rroots = 4
- Sat Nov 20 20:47:49 2021
- Sat Nov 20 20:47:49 2021 commencing relation filtering
- Sat Nov 20 20:47:49 2021 setting target matrix density to 120.0
- Sat Nov 20 20:47:49 2021 estimated available RAM is 515600.8 MB
- Sat Nov 20 20:47:49 2021 commencing duplicate removal, pass 1
- Sat Nov 20 21:17:04 2021 skipped 5083 relations with b > 2^32
- Sat Nov 20 21:17:04 2021 skipped 138 relations with composite factors
- Sat Nov 20 21:17:04 2021 found 28613573 hash collisions in 370659292 relations
- Sat Nov 20 21:17:09 2021 added 3657708 free relations
- Sat Nov 20 21:17:09 2021 commencing duplicate removal, pass 2
- Sat Nov 20 21:18:31 2021 found 1 duplicates and 374316999 unique relations
- Sat Nov 20 21:18:31 2021 memory use: 1321.5 MB
- Sat Nov 20 21:18:31 2021 reading ideals above 720000
- Sat Nov 20 21:18:31 2021 commencing singleton removal, initial pass
- Sat Nov 20 21:48:35 2021 memory use: 11024.0 MB
- Sat Nov 20 21:48:35 2021 reading all ideals from disk
- Sat Nov 20 21:48:57 2021 memory use: 15436.7 MB
- Sat Nov 20 21:49:13 2021 keeping 330054704 ideals with weight <= 200, target excess is 1896019
- Sat Nov 20 21:49:35 2021 commencing in-memory singleton removal
- Sat Nov 20 21:49:45 2021 begin with 374316999 relations and 330054704 unique ideals
- Sat Nov 20 21:51:48 2021 reduce to 249260522 relations and 192531755 ideals in 14 passes
- Sat Nov 20 21:51:48 2021 max relations containing the same ideal: 166
- Sat Nov 20 21:52:41 2021 removing 12168212 relations and 10168212 ideals in 2000000 cliques
- Sat Nov 20 21:52:45 2021 commencing in-memory singleton removal
- Sat Nov 20 21:52:52 2021 begin with 237092310 relations and 192531755 unique ideals
- Sat Nov 20 21:53:47 2021 reduce to 236629519 relations and 181895601 ideals in 7 passes
- Sat Nov 20 21:53:47 2021 max relations containing the same ideal: 160
- Sat Nov 20 21:54:37 2021 removing 9183105 relations and 7183105 ideals in 2000000 cliques
- Sat Nov 20 21:54:41 2021 commencing in-memory singleton removal
- Sat Nov 20 21:54:47 2021 begin with 227446414 relations and 181895601 unique ideals
- Sat Nov 20 21:55:40 2021 reduce to 227152056 relations and 174415474 ideals in 7 passes
- Sat Nov 20 21:55:40 2021 max relations containing the same ideal: 156
- Sat Nov 20 21:56:27 2021 removing 8243075 relations and 6243075 ideals in 2000000 cliques
- Sat Nov 20 21:56:31 2021 commencing in-memory singleton removal
- Sat Nov 20 21:56:37 2021 begin with 218908981 relations and 174415474 unique ideals
- Sat Nov 20 21:57:28 2021 reduce to 218658378 relations and 167919598 ideals in 7 passes
- Sat Nov 20 21:57:28 2021 max relations containing the same ideal: 153
- Sat Nov 20 21:58:14 2021 removing 7728994 relations and 5728994 ideals in 2000000 cliques
- Sat Nov 20 21:58:18 2021 commencing in-memory singleton removal
- Sat Nov 20 21:58:23 2021 begin with 210929384 relations and 167919598 unique ideals
- Sat Nov 20 21:59:05 2021 reduce to 210698440 relations and 161957549 ideals in 6 passes
- Sat Nov 20 21:59:05 2021 max relations containing the same ideal: 149
- Sat Nov 20 21:59:49 2021 removing 7393173 relations and 5393173 ideals in 2000000 cliques
- Sat Nov 20 21:59:53 2021 commencing in-memory singleton removal
- Sat Nov 20 21:59:59 2021 begin with 203305267 relations and 161957549 unique ideals
- Sat Nov 20 22:00:46 2021 reduce to 203088403 relations and 156345471 ideals in 7 passes
- Sat Nov 20 22:00:46 2021 max relations containing the same ideal: 146
- Sat Nov 20 22:01:29 2021 removing 7150206 relations and 5150206 ideals in 2000000 cliques
- Sat Nov 20 22:01:32 2021 commencing in-memory singleton removal
- Sat Nov 20 22:01:37 2021 begin with 195938197 relations and 156345471 unique ideals
- Sat Nov 20 22:02:16 2021 reduce to 195728423 relations and 150983467 ideals in 6 passes
- Sat Nov 20 22:02:16 2021 max relations containing the same ideal: 140
- Sat Nov 20 22:02:58 2021 removing 6976028 relations and 4976028 ideals in 2000000 cliques
- Sat Nov 20 22:03:01 2021 commencing in-memory singleton removal
- Sat Nov 20 22:03:06 2021 begin with 188752395 relations and 150983467 unique ideals
- Sat Nov 20 22:03:50 2021 reduce to 188547924 relations and 145800926 ideals in 7 passes
- Sat Nov 20 22:03:50 2021 max relations containing the same ideal: 136
- Sat Nov 20 22:04:30 2021 removing 6838601 relations and 4838601 ideals in 2000000 cliques
- Sat Nov 20 22:04:33 2021 commencing in-memory singleton removal
- Sat Nov 20 22:04:38 2021 begin with 181709323 relations and 145800926 unique ideals
- Sat Nov 20 22:05:14 2021 reduce to 181507954 relations and 140758873 ideals in 6 passes
- Sat Nov 20 22:05:14 2021 max relations containing the same ideal: 135
- Sat Nov 20 22:05:53 2021 removing 6730263 relations and 4730263 ideals in 2000000 cliques
- Sat Nov 20 22:05:56 2021 commencing in-memory singleton removal
- Sat Nov 20 22:06:01 2021 begin with 174777691 relations and 140758873 unique ideals
- Sat Nov 20 22:06:35 2021 reduce to 174577527 relations and 135826316 ideals in 6 passes
- Sat Nov 20 22:06:35 2021 max relations containing the same ideal: 131
- Sat Nov 20 22:07:12 2021 removing 6642128 relations and 4642128 ideals in 2000000 cliques
- Sat Nov 20 22:07:16 2021 commencing in-memory singleton removal
- Sat Nov 20 22:07:20 2021 begin with 167935399 relations and 135826316 unique ideals
- Sat Nov 20 22:07:53 2021 reduce to 167734598 relations and 130981203 ideals in 6 passes
- Sat Nov 20 22:07:53 2021 max relations containing the same ideal: 126
- Sat Nov 20 22:08:29 2021 removing 6573445 relations and 4573445 ideals in 2000000 cliques
- Sat Nov 20 22:08:32 2021 commencing in-memory singleton removal
- Sat Nov 20 22:08:37 2021 begin with 161161153 relations and 130981203 unique ideals
- Sat Nov 20 22:09:14 2021 reduce to 160957882 relations and 126202177 ideals in 7 passes
- Sat Nov 20 22:09:14 2021 max relations containing the same ideal: 124
- Sat Nov 20 22:09:48 2021 removing 6514316 relations and 4514316 ideals in 2000000 cliques
- Sat Nov 20 22:09:51 2021 commencing in-memory singleton removal
- Sat Nov 20 22:09:55 2021 begin with 154443566 relations and 126202177 unique ideals
- Sat Nov 20 22:10:26 2021 reduce to 154237867 relations and 121479669 ideals in 6 passes
- Sat Nov 20 22:10:26 2021 max relations containing the same ideal: 121
- Sat Nov 20 22:10:59 2021 removing 6470746 relations and 4470746 ideals in 2000000 cliques
- Sat Nov 20 22:11:02 2021 commencing in-memory singleton removal
- Sat Nov 20 22:11:06 2021 begin with 147767121 relations and 121479669 unique ideals
- Sat Nov 20 22:11:40 2021 reduce to 147556773 relations and 116795886 ideals in 7 passes
- Sat Nov 20 22:11:40 2021 max relations containing the same ideal: 119
- Sat Nov 20 22:12:12 2021 removing 6436456 relations and 4436456 ideals in 2000000 cliques
- Sat Nov 20 22:12:15 2021 commencing in-memory singleton removal
- Sat Nov 20 22:12:19 2021 begin with 141120317 relations and 116795886 unique ideals
- Sat Nov 20 22:12:46 2021 reduce to 140904410 relations and 112140720 ideals in 6 passes
- Sat Nov 20 22:12:46 2021 max relations containing the same ideal: 115
- Sat Nov 20 22:13:17 2021 removing 6411855 relations and 4411855 ideals in 2000000 cliques
- Sat Nov 20 22:13:20 2021 commencing in-memory singleton removal
- Sat Nov 20 22:13:23 2021 begin with 134492555 relations and 112140720 unique ideals
- Sat Nov 20 22:13:49 2021 reduce to 134271022 relations and 107504269 ideals in 6 passes
- Sat Nov 20 22:13:49 2021 max relations containing the same ideal: 110
- Sat Nov 20 22:14:19 2021 removing 6391892 relations and 4391892 ideals in 2000000 cliques
- Sat Nov 20 22:14:21 2021 commencing in-memory singleton removal
- Sat Nov 20 22:14:25 2021 begin with 127879130 relations and 107504269 unique ideals
- Sat Nov 20 22:14:50 2021 reduce to 127649214 relations and 102879225 ideals in 6 passes
- Sat Nov 20 22:14:50 2021 max relations containing the same ideal: 108
- Sat Nov 20 22:15:18 2021 removing 6384008 relations and 4384008 ideals in 2000000 cliques
- Sat Nov 20 22:15:20 2021 commencing in-memory singleton removal
- Sat Nov 20 22:15:23 2021 begin with 121265206 relations and 102879225 unique ideals
- Sat Nov 20 22:15:47 2021 reduce to 121024474 relations and 98250865 ideals in 6 passes
- Sat Nov 20 22:15:47 2021 max relations containing the same ideal: 106
- Sat Nov 20 22:16:14 2021 removing 6389522 relations and 4389522 ideals in 2000000 cliques
- Sat Nov 20 22:16:16 2021 commencing in-memory singleton removal
- Sat Nov 20 22:16:19 2021 begin with 114634952 relations and 98250865 unique ideals
- Sat Nov 20 22:16:49 2021 reduce to 114382674 relations and 93605154 ideals in 8 passes
- Sat Nov 20 22:16:49 2021 max relations containing the same ideal: 100
- Sat Nov 20 22:17:14 2021 removing 6395311 relations and 4395311 ideals in 2000000 cliques
- Sat Nov 20 22:17:17 2021 commencing in-memory singleton removal
- Sat Nov 20 22:17:19 2021 begin with 107987363 relations and 93605154 unique ideals
- Sat Nov 20 22:17:40 2021 reduce to 107719402 relations and 88937461 ideals in 6 passes
- Sat Nov 20 22:17:40 2021 max relations containing the same ideal: 96
- Sat Nov 20 22:18:05 2021 removing 6414359 relations and 4414359 ideals in 2000000 cliques
- Sat Nov 20 22:18:07 2021 commencing in-memory singleton removal
- Sat Nov 20 22:18:09 2021 begin with 101305043 relations and 88937461 unique ideals
- Sat Nov 20 22:18:29 2021 reduce to 101019433 relations and 84232498 ideals in 6 passes
- Sat Nov 20 22:18:29 2021 max relations containing the same ideal: 95
- Sat Nov 20 22:18:52 2021 removing 6448336 relations and 4448336 ideals in 2000000 cliques
- Sat Nov 20 22:18:54 2021 commencing in-memory singleton removal
- Sat Nov 20 22:18:57 2021 begin with 94571097 relations and 84232498 unique ideals
- Sat Nov 20 22:19:18 2021 reduce to 94265359 relations and 79472813 ideals in 7 passes
- Sat Nov 20 22:19:18 2021 max relations containing the same ideal: 87
- Sat Nov 20 22:19:39 2021 removing 6492254 relations and 4492254 ideals in 2000000 cliques
- Sat Nov 20 22:19:42 2021 commencing in-memory singleton removal
- Sat Nov 20 22:19:44 2021 begin with 87773105 relations and 79472813 unique ideals
- Sat Nov 20 22:20:03 2021 reduce to 87438264 relations and 74639384 ideals in 7 passes
- Sat Nov 20 22:20:03 2021 max relations containing the same ideal: 83
- Sat Nov 20 22:20:24 2021 removing 6553051 relations and 4553051 ideals in 2000000 cliques
- Sat Nov 20 22:20:26 2021 commencing in-memory singleton removal
- Sat Nov 20 22:20:28 2021 begin with 80885213 relations and 74639384 unique ideals
- Sat Nov 20 22:20:46 2021 reduce to 80517311 relations and 69710936 ideals in 7 passes
- Sat Nov 20 22:20:46 2021 max relations containing the same ideal: 78
- Sat Nov 20 22:21:05 2021 removing 6631159 relations and 4631159 ideals in 2000000 cliques
- Sat Nov 20 22:21:07 2021 commencing in-memory singleton removal
- Sat Nov 20 22:21:09 2021 begin with 73886152 relations and 69710936 unique ideals
- Sat Nov 20 22:21:25 2021 reduce to 73474774 relations and 64659296 ideals in 7 passes
- Sat Nov 20 22:21:25 2021 max relations containing the same ideal: 73
- Sat Nov 20 22:21:43 2021 removing 6734536 relations and 4734536 ideals in 2000000 cliques
- Sat Nov 20 22:21:44 2021 commencing in-memory singleton removal
- Sat Nov 20 22:21:46 2021 begin with 66740238 relations and 64659296 unique ideals
- Sat Nov 20 22:22:01 2021 reduce to 66269632 relations and 59442866 ideals in 7 passes
- Sat Nov 20 22:22:01 2021 max relations containing the same ideal: 67
- Sat Nov 20 22:22:17 2021 removing 6865373 relations and 4865373 ideals in 2000000 cliques
- Sat Nov 20 22:22:19 2021 commencing in-memory singleton removal
- Sat Nov 20 22:22:20 2021 begin with 59404259 relations and 59442866 unique ideals
- Sat Nov 20 22:22:35 2021 reduce to 58855569 relations and 54014627 ideals in 8 passes
- Sat Nov 20 22:22:35 2021 max relations containing the same ideal: 62
- Sat Nov 20 22:22:50 2021 removing 7034974 relations and 5034974 ideals in 2000000 cliques
- Sat Nov 20 22:22:52 2021 commencing in-memory singleton removal
- Sat Nov 20 22:22:53 2021 begin with 51820595 relations and 54014627 unique ideals
- Sat Nov 20 22:23:06 2021 reduce to 51161779 relations and 48301757 ideals in 8 passes
- Sat Nov 20 22:23:06 2021 max relations containing the same ideal: 57
- Sat Nov 20 22:23:19 2021 removing 2991378 relations and 2330739 ideals in 660639 cliques
- Sat Nov 20 22:23:20 2021 commencing in-memory singleton removal
- Sat Nov 20 22:23:21 2021 begin with 48170401 relations and 48301757 unique ideals
- Sat Nov 20 22:23:31 2021 reduce to 48040668 relations and 45839866 ideals in 7 passes
- Sat Nov 20 22:23:31 2021 max relations containing the same ideal: 54
- Sat Nov 20 22:23:48 2021 relations with 0 large ideals: 138755
- Sat Nov 20 22:23:48 2021 relations with 1 large ideals: 56727
- Sat Nov 20 22:23:48 2021 relations with 2 large ideals: 630625
- Sat Nov 20 22:23:48 2021 relations with 3 large ideals: 3121059
- Sat Nov 20 22:23:48 2021 relations with 4 large ideals: 8353542
- Sat Nov 20 22:23:48 2021 relations with 5 large ideals: 14210893
- Sat Nov 20 22:23:48 2021 relations with 6 large ideals: 11742242
- Sat Nov 20 22:23:48 2021 relations with 7+ large ideals: 9786825
- Sat Nov 20 22:23:48 2021 commencing 2-way merge
- Sat Nov 20 22:24:04 2021 reduce to 30641688 relation sets and 28440886 unique ideals
- Sat Nov 20 22:24:04 2021 commencing full merge
- Sat Nov 20 22:31:04 2021 memory use: 3528.7 MB
- Sat Nov 20 22:31:06 2021 found 13541100 cycles, need 13415086
- Sat Nov 20 22:31:09 2021 weight of 13415086 cycles is about 1610542725 (120.05/cycle)
- Sat Nov 20 22:31:09 2021 distribution of cycle lengths:
- Sat Nov 20 22:31:09 2021 1 relations: 768838
- Sat Nov 20 22:31:09 2021 2 relations: 799605
- Sat Nov 20 22:31:09 2021 3 relations: 840497
- Sat Nov 20 22:31:09 2021 4 relations: 852715
- Sat Nov 20 22:31:09 2021 5 relations: 860545
- Sat Nov 20 22:31:09 2021 6 relations: 866000
- Sat Nov 20 22:31:09 2021 7 relations: 857230
- Sat Nov 20 22:31:09 2021 8 relations: 840679
- Sat Nov 20 22:31:09 2021 9 relations: 809139
- Sat Nov 20 22:31:09 2021 10+ relations: 5919838
- Sat Nov 20 22:31:09 2021 heaviest cycle: 28 relations
- Sat Nov 20 22:31:14 2021 commencing cycle optimization
- Sat Nov 20 22:31:33 2021 start with 125594709 relations
- Sat Nov 20 22:34:41 2021 pruned 6088623 relations
- Sat Nov 20 22:34:41 2021 memory use: 3244.0 MB
- Sat Nov 20 22:34:41 2021 distribution of cycle lengths:
- Sat Nov 20 22:34:41 2021 1 relations: 768838
- Sat Nov 20 22:34:41 2021 2 relations: 815754
- Sat Nov 20 22:34:41 2021 3 relations: 873134
- Sat Nov 20 22:34:41 2021 4 relations: 887709
- Sat Nov 20 22:34:41 2021 5 relations: 905613
- Sat Nov 20 22:34:41 2021 6 relations: 910836
- Sat Nov 20 22:34:41 2021 7 relations: 907617
- Sat Nov 20 22:34:41 2021 8 relations: 888252
- Sat Nov 20 22:34:41 2021 9 relations: 855936
- Sat Nov 20 22:34:41 2021 10+ relations: 5601397
- Sat Nov 20 22:34:41 2021 heaviest cycle: 28 relations
- Sat Nov 20 22:34:54 2021 RelProcTime: 6425
- Sat Nov 20 22:34:54 2021
- Sat Nov 20 22:34:54 2021 commencing linear algebra
- Sat Nov 20 22:34:54 2021 using VBITS=384
- Sat Nov 20 22:34:55 2021 read 13415086 cycles
- Sat Nov 20 22:35:14 2021 cycles contain 46861231 unique relations
- Sat Nov 20 22:38:01 2021 read 46861231 relations
- Sat Nov 20 22:39:02 2021 using 20 quadratic characters above 4294917295
- Sat Nov 20 22:41:10 2021 building initial matrix
- Sat Nov 20 22:47:32 2021 memory use: 6005.0 MB
- Sat Nov 20 22:47:36 2021 read 13415086 cycles
- Sat Nov 20 22:47:38 2021 matrix is 13414909 x 13415086 (6305.3 MB) with weight 1800633705 (134.22/col)
- Sat Nov 20 22:47:38 2021 sparse part has weight 1505326697 (112.21/col)
- Sat Nov 20 22:49:09 2021 filtering completed in 2 passes
- Sat Nov 20 22:49:11 2021 matrix is 13414251 x 13414396 (6305.2 MB) with weight 1800607045 (134.23/col)
- Sat Nov 20 22:49:11 2021 sparse part has weight 1505314934 (112.22/col)
- Sat Nov 20 22:49:32 2021 matrix starts at (0, 0)
- Sat Nov 20 22:49:34 2021 matrix is 13414251 x 13414396 (6305.2 MB) with weight 1800607045 (134.23/col)
- Sat Nov 20 22:49:34 2021 sparse part has weight 1505314934 (112.22/col)
- Sat Nov 20 22:49:34 2021 saving the first 368 matrix rows for later
- Sat Nov 20 22:49:36 2021 matrix includes 384 packed rows
- Sat Nov 20 22:49:41 2021 matrix is 13413883 x 13414396 (5876.2 MB) with weight 1338808293 (99.80/col)
- Sat Nov 20 22:49:41 2021 sparse part has weight 1272114796 (94.83/col)
- Sat Nov 20 22:49:41 2021 using GPU 1 (Tesla V100-PCIE-32GB)
- Sat Nov 20 22:49:41 2021 selected card has CUDA arch 7.0
- Sat Nov 20 22:50:30 2021 commencing Lanczos iteration
- Sat Nov 20 22:50:31 2021 memory use: 14720.3 MB
- Sat Nov 20 22:50:36 2021 linear algebra at 0.0%, ETA 8h 5m
- Sat Nov 20 22:50:40 2021 checkpointing every 1690000 dimensions
- Sun Nov 21 05:59:03 2021 lanczos halted after 35003 iterations (dim = 13413883)
- Sun Nov 21 06:00:05 2021 recovered 36 nontrivial dependencies
- Sun Nov 21 06:00:05 2021 BLanczosTime: 26711
- Sun Nov 21 06:00:05 2021
- Sun Nov 21 06:00:05 2021 commencing square root phase
- Sun Nov 21 06:00:05 2021 handling dependencies 1 to 64
- Sun Nov 21 06:00:05 2021 reading relations for dependency 1
- Sun Nov 21 06:00:07 2021 read 6703647 cycles
- Sun Nov 21 06:00:19 2021 cycles contain 23419202 unique relations
- Sun Nov 21 06:01:53 2021 read 23419202 relations
- Sun Nov 21 06:02:57 2021 multiplying 23419202 relations
- Sun Nov 21 06:08:23 2021 multiply complete, coefficients have about 628.91 million bits
- Sun Nov 21 06:08:24 2021 initial square root is modulo 438877
- Sun Nov 21 06:15:11 2021 GCD is 1, no factor found
- Sun Nov 21 06:15:11 2021 reading relations for dependency 2
- Sun Nov 21 06:15:12 2021 read 6706516 cycles
- Sun Nov 21 06:15:22 2021 cycles contain 23427786 unique relations
- Sun Nov 21 06:16:47 2021 read 23427786 relations
- Sun Nov 21 06:17:52 2021 multiplying 23427786 relations
- Sun Nov 21 06:23:19 2021 multiply complete, coefficients have about 629.15 million bits
- Sun Nov 21 06:23:20 2021 initial square root is modulo 441043
- Sun Nov 21 06:30:16 2021 sqrtTime: 1811
- Sun Nov 21 06:30:16 2021 p75 factor: 221074308025011194606491003018989473245604278278846736266766720153768223101
- Sun Nov 21 06:30:16 2021 p131 factor: 58871817804443887740608449766444037551124317046630318140691951243327148884659152398030871373247600773156441512261415099570884414741
- Sun Nov 21 06:30:16 2021 elapsed time 09:42:28
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