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- Tue Jun 28 11:40:42 2022
- Tue Jun 28 11:40:42 2022
- Tue Jun 28 11:40:42 2022 Msieve v. 1.52 (SVN unknown)
- Tue Jun 28 11:40:42 2022 random seeds: cd8850c0 c92ccef6
- Tue Jun 28 11:40:42 2022 factoring 811906126251149517485623543493976998023446505703536773689402903984844438143768586668145173611203973526704702934168520065442265714971524197483093847725131292413868213004480062414702622525149246408593863357 (204 digits)
- Tue Jun 28 11:40:43 2022 no P-1/P+1/ECM available, skipping
- Tue Jun 28 11:40:43 2022 commencing number field sieve (204-digit input)
- Tue Jun 28 11:40:43 2022 R0: 602400691612421918536387328824478011400331731
- Tue Jun 28 11:40:43 2022 R1: -680564733841876926926749214863536422912
- Tue Jun 28 11:40:43 2022 A0: 11
- Tue Jun 28 11:40:43 2022 A1: 0
- Tue Jun 28 11:40:43 2022 A2: 0
- Tue Jun 28 11:40:43 2022 A3: 0
- Tue Jun 28 11:40:43 2022 A4: 0
- Tue Jun 28 11:40:43 2022 A5: 0
- Tue Jun 28 11:40:43 2022 A6: 8
- Tue Jun 28 11:40:43 2022 skew 1.05, size 2.954e-013, alpha 0.480, combined = 4.622e-014 rroots = 0
- Tue Jun 28 11:40:43 2022
- Tue Jun 28 11:40:43 2022 commencing relation filtering
- Tue Jun 28 11:40:43 2022 setting target matrix density to 122.0
- Tue Jun 28 11:40:43 2022 estimated available RAM is 130978.7 MB
- Tue Jun 28 11:40:43 2022 commencing duplicate removal, pass 1
- Tue Jun 28 11:40:50 2022 error -15 reading relation 782585
- Tue Jun 28 11:40:52 2022 error -15 reading relation 1023924
- Tue Jun 28 11:40:52 2022 error -1 reading relation 1023925
- Tue Jun 28 11:40:53 2022 error -9 reading relation 1061285
- Tue Jun 28 12:35:43 2022 error -1 reading relation 375085397
- Tue Jun 28 12:35:49 2022 error -15 reading relation 375740797
- Tue Jun 28 12:35:51 2022 error -15 reading relation 376052237
- Tue Jun 28 12:35:52 2022 error -9 reading relation 376107513
- Tue Jun 28 12:35:52 2022 error -15 reading relation 376107568
- Tue Jun 28 12:35:53 2022 skipped 1757 relations with b > 2^32
- Tue Jun 28 12:35:53 2022 found 86064135 hash collisions in 376259125 relations
- Tue Jun 28 12:36:18 2022 added 1218432 free relations
- Tue Jun 28 12:36:18 2022 commencing duplicate removal, pass 2
- Tue Jun 28 12:39:35 2022 found 87338351 duplicates and 290139206 unique relations
- Tue Jun 28 12:39:35 2022 memory use: 2387.0 MB
- Tue Jun 28 12:39:35 2022 reading ideals above 720000
- Tue Jun 28 12:39:35 2022 commencing singleton removal, initial pass
- Tue Jun 28 13:37:09 2022 memory use: 6024.0 MB
- Tue Jun 28 13:37:09 2022 reading all ideals from disk
- Tue Jun 28 13:37:14 2022 memory use: 12236.9 MB
- Tue Jun 28 13:38:20 2022 keeping 259519722 ideals with weight <= 200, target excess is 1485684
- Tue Jun 28 13:39:28 2022 commencing in-memory singleton removal
- Tue Jun 28 13:40:17 2022 begin with 290139206 relations and 259519722 unique ideals
- Tue Jun 28 13:48:06 2022 reduce to 201727422 relations and 163363100 ideals in 14 passes
- Tue Jun 28 13:48:06 2022 max relations containing the same ideal: 171
- Tue Jun 28 13:50:29 2022 removing 11489155 relations and 9489155 ideals in 2000000 cliques
- Tue Jun 28 13:50:33 2022 commencing in-memory singleton removal
- Tue Jun 28 13:51:03 2022 begin with 190238267 relations and 163363100 unique ideals
- Tue Jun 28 13:54:48 2022 reduce to 189717196 relations and 153345794 ideals in 8 passes
- Tue Jun 28 13:54:48 2022 max relations containing the same ideal: 165
- Tue Jun 28 13:56:55 2022 removing 8783533 relations and 6783533 ideals in 2000000 cliques
- Tue Jun 28 13:56:58 2022 commencing in-memory singleton removal
- Tue Jun 28 13:57:26 2022 begin with 180933663 relations and 153345794 unique ideals
- Tue Jun 28 14:00:59 2022 reduce to 180592892 relations and 146217561 ideals in 8 passes
- Tue Jun 28 14:00:59 2022 max relations containing the same ideal: 158
- Tue Jun 28 14:03:00 2022 removing 7949395 relations and 5949395 ideals in 2000000 cliques
- Tue Jun 28 14:03:04 2022 commencing in-memory singleton removal
- Tue Jun 28 14:03:30 2022 begin with 172643497 relations and 146217561 unique ideals
- Tue Jun 28 14:06:28 2022 reduce to 172346682 relations and 139968073 ideals in 7 passes
- Tue Jun 28 14:06:28 2022 max relations containing the same ideal: 155
- Tue Jun 28 14:08:23 2022 removing 7508600 relations and 5508600 ideals in 2000000 cliques
- Tue Jun 28 14:08:26 2022 commencing in-memory singleton removal
- Tue Jun 28 14:08:51 2022 begin with 164838082 relations and 139968073 unique ideals
- Tue Jun 28 14:11:37 2022 reduce to 164562939 relations and 134181249 ideals in 7 passes
- Tue Jun 28 14:11:37 2022 max relations containing the same ideal: 150
- Tue Jun 28 14:13:27 2022 removing 7237294 relations and 5237294 ideals in 2000000 cliques
- Tue Jun 28 14:13:30 2022 commencing in-memory singleton removal
- Tue Jun 28 14:13:53 2022 begin with 157325645 relations and 134181249 unique ideals
- Tue Jun 28 14:16:34 2022 reduce to 157061577 relations and 128676748 ideals in 7 passes
- Tue Jun 28 14:16:34 2022 max relations containing the same ideal: 145
- Tue Jun 28 14:18:19 2022 removing 7050813 relations and 5050813 ideals in 2000000 cliques
- Tue Jun 28 14:18:22 2022 commencing in-memory singleton removal
- Tue Jun 28 14:18:45 2022 begin with 150010764 relations and 128676748 unique ideals
- Tue Jun 28 14:22:00 2022 reduce to 149750837 relations and 123362956 ideals in 9 passes
- Tue Jun 28 14:22:00 2022 max relations containing the same ideal: 142
- Tue Jun 28 14:23:42 2022 removing 6920639 relations and 4920639 ideals in 2000000 cliques
- Tue Jun 28 14:23:45 2022 commencing in-memory singleton removal
- Tue Jun 28 14:24:06 2022 begin with 142830198 relations and 123362956 unique ideals
- Tue Jun 28 14:26:11 2022 reduce to 142571100 relations and 118180039 ideals in 6 passes
- Tue Jun 28 14:26:11 2022 max relations containing the same ideal: 138
- Tue Jun 28 14:27:49 2022 removing 6827259 relations and 4827259 ideals in 2000000 cliques
- Tue Jun 28 14:27:52 2022 commencing in-memory singleton removal
- Tue Jun 28 14:28:13 2022 begin with 135743841 relations and 118180039 unique ideals
- Tue Jun 28 14:30:29 2022 reduce to 135480885 relations and 113086396 ideals in 7 passes
- Tue Jun 28 14:30:29 2022 max relations containing the same ideal: 133
- Tue Jun 28 14:32:00 2022 removing 6758684 relations and 4758684 ideals in 2000000 cliques
- Tue Jun 28 14:32:03 2022 commencing in-memory singleton removal
- Tue Jun 28 14:32:22 2022 begin with 128722201 relations and 113086396 unique ideals
- Tue Jun 28 14:34:33 2022 reduce to 128455691 relations and 108057614 ideals in 7 passes
- Tue Jun 28 14:34:33 2022 max relations containing the same ideal: 129
- Tue Jun 28 14:36:03 2022 removing 6711778 relations and 4711778 ideals in 2000000 cliques
- Tue Jun 28 14:36:06 2022 commencing in-memory singleton removal
- Tue Jun 28 14:36:24 2022 begin with 121743913 relations and 108057614 unique ideals
- Tue Jun 28 14:38:09 2022 reduce to 121469739 relations and 103067828 ideals in 6 passes
- Tue Jun 28 14:38:09 2022 max relations containing the same ideal: 122
- Tue Jun 28 14:39:31 2022 removing 6687667 relations and 4687667 ideals in 2000000 cliques
- Tue Jun 28 14:39:34 2022 commencing in-memory singleton removal
- Tue Jun 28 14:39:50 2022 begin with 114782072 relations and 103067828 unique ideals
- Tue Jun 28 14:41:43 2022 reduce to 114496572 relations and 98090476 ideals in 7 passes
- Tue Jun 28 14:41:43 2022 max relations containing the same ideal: 115
- Tue Jun 28 14:43:00 2022 removing 6676200 relations and 4676200 ideals in 2000000 cliques
- Tue Jun 28 14:43:02 2022 commencing in-memory singleton removal
- Tue Jun 28 14:43:18 2022 begin with 107820372 relations and 98090476 unique ideals
- Tue Jun 28 14:45:04 2022 reduce to 107522548 relations and 93111858 ideals in 7 passes
- Tue Jun 28 14:45:04 2022 max relations containing the same ideal: 111
- Tue Jun 28 14:46:17 2022 removing 6675070 relations and 4675070 ideals in 2000000 cliques
- Tue Jun 28 14:46:19 2022 commencing in-memory singleton removal
- Tue Jun 28 14:46:34 2022 begin with 100847478 relations and 93111858 unique ideals
- Tue Jun 28 14:47:58 2022 reduce to 100535900 relations and 88120171 ideals in 6 passes
- Tue Jun 28 14:47:58 2022 max relations containing the same ideal: 107
- Tue Jun 28 14:49:06 2022 removing 6685396 relations and 4685396 ideals in 2000000 cliques
- Tue Jun 28 14:49:09 2022 commencing in-memory singleton removal
- Tue Jun 28 14:49:22 2022 begin with 93850504 relations and 88120171 unique ideals
- Tue Jun 28 14:50:53 2022 reduce to 93517680 relations and 83096081 ideals in 7 passes
- Tue Jun 28 14:50:53 2022 max relations containing the same ideal: 103
- Tue Jun 28 14:51:58 2022 removing 6707438 relations and 4707438 ideals in 2000000 cliques
- Tue Jun 28 14:52:00 2022 commencing in-memory singleton removal
- Tue Jun 28 14:52:12 2022 begin with 86810242 relations and 83096081 unique ideals
- Tue Jun 28 14:53:36 2022 reduce to 86452136 relations and 78023878 ideals in 7 passes
- Tue Jun 28 14:53:36 2022 max relations containing the same ideal: 101
- Tue Jun 28 14:54:37 2022 removing 6746828 relations and 4746828 ideals in 2000000 cliques
- Tue Jun 28 14:54:39 2022 commencing in-memory singleton removal
- Tue Jun 28 14:54:50 2022 begin with 79705308 relations and 78023878 unique ideals
- Tue Jun 28 14:56:08 2022 reduce to 79314760 relations and 72878750 ideals in 7 passes
- Tue Jun 28 14:56:08 2022 max relations containing the same ideal: 95
- Tue Jun 28 14:57:05 2022 removing 6795539 relations and 4795539 ideals in 2000000 cliques
- Tue Jun 28 14:57:07 2022 commencing in-memory singleton removal
- Tue Jun 28 14:57:17 2022 begin with 72519221 relations and 72878750 unique ideals
- Tue Jun 28 14:58:27 2022 reduce to 72087140 relations and 67641970 ideals in 7 passes
- Tue Jun 28 14:58:27 2022 max relations containing the same ideal: 87
- Tue Jun 28 14:59:17 2022 removing 6868743 relations and 4868743 ideals in 2000000 cliques
- Tue Jun 28 14:59:19 2022 commencing in-memory singleton removal
- Tue Jun 28 14:59:28 2022 begin with 65218397 relations and 67641970 unique ideals
- Tue Jun 28 15:00:38 2022 reduce to 64730553 relations and 62273897 ideals in 8 passes
- Tue Jun 28 15:00:38 2022 max relations containing the same ideal: 81
- Tue Jun 28 15:01:23 2022 removing 3086349 relations and 2353087 ideals in 733262 cliques
- Tue Jun 28 15:01:24 2022 commencing in-memory singleton removal
- Tue Jun 28 15:01:32 2022 begin with 61644204 relations and 62273897 unique ideals
- Tue Jun 28 15:02:30 2022 reduce to 61539765 relations and 59815366 ideals in 7 passes
- Tue Jun 28 15:02:30 2022 max relations containing the same ideal: 79
- Tue Jun 28 15:03:20 2022 relations with 0 large ideals: 55787
- Tue Jun 28 15:03:20 2022 relations with 1 large ideals: 28144
- Tue Jun 28 15:03:20 2022 relations with 2 large ideals: 326819
- Tue Jun 28 15:03:20 2022 relations with 3 large ideals: 1970544
- Tue Jun 28 15:03:20 2022 relations with 4 large ideals: 6495399
- Tue Jun 28 15:03:20 2022 relations with 5 large ideals: 12921996
- Tue Jun 28 15:03:20 2022 relations with 6 large ideals: 16254710
- Tue Jun 28 15:03:20 2022 relations with 7+ large ideals: 23486366
- Tue Jun 28 15:03:20 2022 commencing 2-way merge
- Tue Jun 28 15:04:18 2022 reduce to 41302981 relation sets and 39578582 unique ideals
- Tue Jun 28 15:04:19 2022 commencing full merge
- Tue Jun 28 15:26:24 2022 memory use: 5264.5 MB
- Tue Jun 28 15:26:34 2022 found 18689956 cycles, need 18558782
- Tue Jun 28 15:26:35 2022 weight of 18558782 cycles is about 2264180788 (122.00/cycle)
- Tue Jun 28 15:26:35 2022 distribution of cycle lengths:
- Tue Jun 28 15:26:35 2022 1 relations: 857378
- Tue Jun 28 15:26:35 2022 2 relations: 1168884
- Tue Jun 28 15:26:35 2022 3 relations: 1335465
- Tue Jun 28 15:26:35 2022 4 relations: 1356451
- Tue Jun 28 15:26:35 2022 5 relations: 1375665
- Tue Jun 28 15:26:35 2022 6 relations: 1353436
- Tue Jun 28 15:26:35 2022 7 relations: 1326405
- Tue Jun 28 15:26:35 2022 8 relations: 1266665
- Tue Jun 28 15:26:35 2022 9 relations: 1194613
- Tue Jun 28 15:26:35 2022 10+ relations: 7323820
- Tue Jun 28 15:26:35 2022 heaviest cycle: 28 relations
- Tue Jun 28 15:27:13 2022 commencing cycle optimization
- Tue Jun 28 15:27:52 2022 start with 161962324 relations
- Tue Jun 28 15:36:41 2022 pruned 7785699 relations
- Tue Jun 28 15:36:41 2022 memory use: 4218.6 MB
- Tue Jun 28 15:36:41 2022 distribution of cycle lengths:
- Tue Jun 28 15:36:41 2022 1 relations: 857378
- Tue Jun 28 15:36:41 2022 2 relations: 1198901
- Tue Jun 28 15:36:41 2022 3 relations: 1394789
- Tue Jun 28 15:36:41 2022 4 relations: 1416562
- Tue Jun 28 15:36:41 2022 5 relations: 1448617
- Tue Jun 28 15:36:41 2022 6 relations: 1422749
- Tue Jun 28 15:36:41 2022 7 relations: 1400232
- Tue Jun 28 15:36:41 2022 8 relations: 1332270
- Tue Jun 28 15:36:41 2022 9 relations: 1253366
- Tue Jun 28 15:36:41 2022 10+ relations: 6833918
- Tue Jun 28 15:36:41 2022 heaviest cycle: 28 relations
- Tue Jun 28 15:37:30 2022 RelProcTime: 14207
- Tue Jun 28 15:37:30 2022
- Tue Jun 28 15:37:30 2022 commencing linear algebra
- Tue Jun 28 15:37:35 2022 read 18558782 cycles
- Tue Jun 28 15:38:20 2022 cycles contain 60716393 unique relations
- Tue Jun 28 15:48:14 2022 read 60716393 relations
- Tue Jun 28 15:50:30 2022 using 20 quadratic characters above 2147483324
- Tue Jun 28 15:54:53 2022 building initial matrix
- Tue Jun 28 16:09:00 2022 memory use: 7857.4 MB
- Tue Jun 28 16:09:28 2022 read 18558782 cycles
- Tue Jun 28 16:09:35 2022 matrix is 18558605 x 18558782 (8819.4 MB) with weight 2560616993 (137.97/col)
- Tue Jun 28 16:09:35 2022 sparse part has weight 2107815811 (113.58/col)
- Tue Jun 28 16:16:03 2022 filtering completed in 2 passes
- Tue Jun 28 16:16:10 2022 matrix is 18558079 x 18558256 (8819.4 MB) with weight 2560596105 (137.98/col)
- Tue Jun 28 16:16:10 2022 sparse part has weight 2107807894 (113.58/col)
- Tue Jun 28 16:17:40 2022 matrix starts at (0, 0)
- Tue Jun 28 16:17:47 2022 matrix is 18558079 x 18558256 (8819.4 MB) with weight 2560596105 (137.98/col)
- Tue Jun 28 16:17:47 2022 sparse part has weight 2107807894 (113.58/col)
- Tue Jun 28 16:17:47 2022 saving the first 48 matrix rows for later
- Tue Jun 28 16:17:53 2022 matrix includes 64 packed rows
- Tue Jun 28 16:17:56 2022 matrix is 18558031 x 18558256 (8518.6 MB) with weight 2207865983 (118.97/col)
- Tue Jun 28 16:17:56 2022 sparse part has weight 2047528505 (110.33/col)
- Tue Jun 28 16:17:56 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
- Tue Jun 28 16:20:05 2022 commencing Lanczos iteration (24 threads)
- Tue Jun 28 16:20:05 2022 memory use: 7334.1 MB
- Tue Jun 28 16:20:46 2022 linear algebra at 0.0%, ETA 132h15m
- Tue Jun 28 16:20:58 2022 checkpointing every 150000 dimensions
- Sun Jul 03 18:56:15 2022 lanczos halted after 293466 iterations (dim = 18558031)
- Sun Jul 03 18:56:32 2022 recovered 38 nontrivial dependencies
- Sun Jul 03 18:56:53 2022 BLanczosTime: 443963
- Sun Jul 03 18:56:53 2022
- Sun Jul 03 18:56:53 2022 commencing square root phase
- Sun Jul 03 18:56:53 2022 handling dependencies 1 to 64
- Sun Jul 03 18:56:53 2022 reading relations for dependency 1
- Sun Jul 03 18:56:57 2022 read 9278162 cycles
- Sun Jul 03 18:57:19 2022 cycles contain 30362528 unique relations
- Sun Jul 03 19:02:45 2022 read 30362528 relations
- Sun Jul 03 19:05:50 2022 multiplying 30362528 relations
- Sun Jul 03 19:35:09 2022 multiply complete, coefficients have about 892.07 million bits
- Sun Jul 03 19:35:19 2022 initial square root is modulo 100740823
- Sun Jul 03 20:11:21 2022 GCD is N, no factor found
- Sun Jul 03 20:11:21 2022 reading relations for dependency 2
- Sun Jul 03 20:11:25 2022 read 9282320 cycles
- Sun Jul 03 20:11:47 2022 cycles contain 30364150 unique relations
- Sun Jul 03 20:17:19 2022 read 30364150 relations
- Sun Jul 03 20:20:32 2022 multiplying 30364150 relations
- Sun Jul 03 20:49:39 2022 multiply complete, coefficients have about 892.11 million bits
- Sun Jul 03 20:49:49 2022 initial square root is modulo 100820581
- Sun Jul 03 21:25:35 2022 GCD is N, no factor found
- Sun Jul 03 21:25:35 2022 reading relations for dependency 3
- Sun Jul 03 21:25:40 2022 read 9275986 cycles
- Sun Jul 03 21:26:02 2022 cycles contain 30345494 unique relations
- Sun Jul 03 21:31:29 2022 read 30345494 relations
- Sun Jul 03 21:34:31 2022 multiplying 30345494 relations
- Sun Jul 03 22:03:36 2022 multiply complete, coefficients have about 891.57 million bits
- Sun Jul 03 22:03:46 2022 initial square root is modulo 99700369
- Sun Jul 03 22:39:46 2022 GCD is N, no factor found
- Sun Jul 03 22:39:46 2022 reading relations for dependency 4
- Sun Jul 03 22:39:50 2022 read 9280878 cycles
- Sun Jul 03 22:40:13 2022 cycles contain 30360906 unique relations
- Sun Jul 03 22:45:45 2022 read 30360906 relations
- Sun Jul 03 22:48:59 2022 multiplying 30360906 relations
- Sun Jul 03 23:43:09 2022 multiply complete, coefficients have about 892.01 million bits
- Sun Jul 03 23:43:23 2022 initial square root is modulo 100614061
- Mon Jul 04 00:53:25 2022 GCD is N, no factor found
- Mon Jul 04 00:53:25 2022 reading relations for dependency 5
- Mon Jul 04 00:53:35 2022 read 9276331 cycles
- Mon Jul 04 00:54:06 2022 cycles contain 30350162 unique relations
- Mon Jul 04 01:03:24 2022 read 30350162 relations
- Mon Jul 04 01:07:50 2022 multiplying 30350162 relations
- Mon Jul 04 02:02:13 2022 multiply complete, coefficients have about 891.70 million bits
- Mon Jul 04 02:02:26 2022 initial square root is modulo 99980659
- Mon Jul 04 03:11:49 2022 sqrtTime: 29696
- Mon Jul 04 03:11:49 2022 prp80 factor: 17075874565902409322444197094868958968470367281527468021955084000044685362628263
- Mon Jul 04 03:11:49 2022 prp125 factor: 47546971788630182344606161997613543855442112226138552478315170047898978860092017656915717745567253963642724479329019867679739
- Mon Jul 04 03:11:49 2022 elapsed time 135:31:07
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