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- Fri Oct 09 15:33:53 2026
- Fri Oct 09 15:33:53 2026
- Fri Oct 09 15:33:53 2026 Msieve v. 1.53 (SVN 988)
- Fri Oct 09 15:33:53 2026 random seeds: ab338730 f67c50cd
- Fri Oct 09 15:33:53 2026 factoring 1390249272158773081713618817207109753932987029270416749877069203865422370844324675341157174391760386582995548240706945583409344341934081254800728170724430619229943 (163 digits)
- Fri Oct 09 15:33:54 2026 searching for 15-digit factors
- Fri Oct 09 15:33:54 2026 commencing number field sieve (163-digit input)
- Fri Oct 09 15:33:54 2026 R0: -22107836986384184347638584445060
- Fri Oct 09 15:33:54 2026 R1: 20230268267262880512479
- Fri Oct 09 15:33:54 2026 A0: 14533519650667521172306817234898534494
- Fri Oct 09 15:33:54 2026 A1: 13706585609266907571474967186363
- Fri Oct 09 15:33:54 2026 A2: -60987340967184448821778246
- Fri Oct 09 15:33:54 2026 A3: -7367181222759511783
- Fri Oct 09 15:33:54 2026 A4: -199149278548
- Fri Oct 09 15:33:54 2026 A5: 526680
- Fri Oct 09 15:33:54 2026 skew 2935754.23, size 9.571e-016, alpha -6.688, combined = 1.129e-012 rroots = 3
- Fri Oct 09 15:33:54 2026
- Fri Oct 09 15:33:54 2026 commencing relation filtering
- Fri Oct 09 15:33:54 2026 setting target matrix density to 130.0
- Fri Oct 09 15:33:54 2026 estimated available RAM is 16151.1 MB
- Fri Oct 09 15:33:55 2026 commencing duplicate removal, pass 1
- Fri Oct 09 15:34:04 2026 error -9 reading relation 1172409
- Fri Oct 09 15:34:09 2026 error -1 reading relation 1734350
- Fri Oct 09 15:34:56 2026 error -15 reading relation 7643802
- Fri Oct 09 15:35:06 2026 error -9 reading relation 8761864
- Fri Oct 09 15:35:08 2026 error -9 reading relation 9035319
- Fri Oct 09 15:35:26 2026 error -9 reading relation 11324675
- Fri Oct 09 15:35:29 2026 error -15 reading relation 11601611
- Fri Oct 09 15:35:30 2026 error -15 reading relation 11799628
- Fri Oct 09 15:35:32 2026 error -15 reading relation 12058593
- Fri Oct 09 15:35:38 2026 error -15 reading relation 12684278
- Fri Oct 09 15:35:49 2026 error -9 reading relation 14062258
- Fri Oct 09 15:35:55 2026 error -1 reading relation 14935145
- Fri Oct 09 15:38:15 2026 error -9 reading relation 32093451
- Fri Oct 09 15:38:23 2026 error -11 reading relation 33034026
- Fri Oct 09 15:39:04 2026 error -9 reading relation 38161904
- Fri Oct 09 15:40:20 2026 error -1 reading relation 47441868
- Fri Oct 09 15:40:24 2026 error -15 reading relation 47860828
- Fri Oct 09 15:40:25 2026 error -1 reading relation 48023991
- Fri Oct 09 15:40:30 2026 error -9 reading relation 48720248
- Fri Oct 09 15:40:55 2026 error -9 reading relation 51858793
- Fri Oct 09 15:40:58 2026 error -1 reading relation 52174082
- Fri Oct 09 15:41:53 2026 error -15 reading relation 58372324
- Fri Oct 09 15:42:30 2026 error -1 reading relation 62743674
- Fri Oct 09 15:43:17 2026 error -9 reading relation 68313445
- Fri Oct 09 15:43:30 2026 error -9 reading relation 69737965
- Fri Oct 09 15:43:30 2026 error -1 reading relation 69763299
- Fri Oct 09 15:44:46 2026 error -9 reading relation 78232873
- Fri Oct 09 15:44:54 2026 error -15 reading relation 79151149
- Fri Oct 09 15:44:57 2026 error -9 reading relation 79513792
- Fri Oct 09 15:45:22 2026 error -15 reading relation 82386038
- Fri Oct 09 15:45:33 2026 error -15 reading relation 83683675
- Fri Oct 09 15:45:43 2026 error -15 reading relation 84805498
- Fri Oct 09 15:45:45 2026 error -15 reading relation 84960180
- Fri Oct 09 15:45:58 2026 error -9 reading relation 86426979
- Fri Oct 09 15:46:36 2026 error -15 reading relation 90664934
- Fri Oct 09 15:46:44 2026 error -1 reading relation 91646862
- Fri Oct 09 15:47:03 2026 error -15 reading relation 93974439
- Fri Oct 09 15:47:26 2026 error -1 reading relation 96741262
- Fri Oct 09 15:48:34 2026 error -15 reading relation 104774215
- Fri Oct 09 15:48:35 2026 error -15 reading relation 104973322
- Fri Oct 09 15:48:36 2026 error -15 reading relation 104998181
- Fri Oct 09 15:48:40 2026 error -15 reading relation 105580901
- Fri Oct 09 15:49:00 2026 error -15 reading relation 107890145
- Fri Oct 09 15:49:02 2026 error -9 reading relation 108126662
- Fri Oct 09 15:49:04 2026 error -15 reading relation 108323043
- Fri Oct 09 15:49:07 2026 error -9 reading relation 108745916
- Fri Oct 09 15:49:08 2026 error -15 reading relation 108770472
- Fri Oct 09 15:49:16 2026 error -1 reading relation 109779190
- Fri Oct 09 15:49:16 2026 error -9 reading relation 109822657
- Fri Oct 09 15:49:28 2026 error -15 reading relation 111270362
- Fri Oct 09 15:49:32 2026 error -9 reading relation 111842735
- Fri Oct 09 15:49:37 2026 error -9 reading relation 112323721
- Fri Oct 09 15:49:54 2026 error -9 reading relation 114378777
- Fri Oct 09 15:49:59 2026 error -9 reading relation 115013520
- Fri Oct 09 15:50:09 2026 error -9 reading relation 116227456
- Fri Oct 09 15:50:25 2026 error -9 reading relation 118321007
- Fri Oct 09 15:50:29 2026 error -9 reading relation 118802708
- Fri Oct 09 15:50:29 2026 error -15 reading relation 118823695
- Fri Oct 09 15:50:40 2026 error -9 reading relation 120169803
- Fri Oct 09 15:50:42 2026 error -15 reading relation 120478222
- Fri Oct 09 15:50:49 2026 error -9 reading relation 121297045
- Fri Oct 09 15:50:49 2026 error -1 reading relation 121338873
- Fri Oct 09 15:50:54 2026 error -15 reading relation 122005080
- Fri Oct 09 15:50:57 2026 error -9 reading relation 122316154
- Fri Oct 09 15:50:58 2026 error -1 reading relation 122538518
- Fri Oct 09 15:50:59 2026 error -15 reading relation 122638384
- Fri Oct 09 15:51:05 2026 error -9 reading relation 123465054
- Fri Oct 09 15:51:08 2026 error -15 reading relation 123845096
- Fri Oct 09 15:51:10 2026 error -15 reading relation 124107104
- Fri Oct 09 15:51:15 2026 error -15 reading relation 124700066
- Fri Oct 09 15:51:29 2026 error -9 reading relation 126505508
- Fri Oct 09 15:51:29 2026 error -15 reading relation 126543863
- Fri Oct 09 15:51:31 2026 error -9 reading relation 126844965
- Fri Oct 09 15:51:39 2026 error -15 reading relation 127811109
- Fri Oct 09 15:51:40 2026 error -5 reading relation 128003394
- Fri Oct 09 15:51:42 2026 error -9 reading relation 128179264
- Fri Oct 09 15:51:45 2026 error -15 reading relation 128616379
- Fri Oct 09 15:51:54 2026 error -9 reading relation 129636240
- Fri Oct 09 15:51:54 2026 error -15 reading relation 129648391
- Fri Oct 09 15:51:55 2026 error -15 reading relation 129876730
- Fri Oct 09 15:51:57 2026 error -1 reading relation 130051879
- Fri Oct 09 15:51:58 2026 error -1 reading relation 130213655
- Fri Oct 09 15:52:04 2026 error -9 reading relation 130934060
- Fri Oct 09 15:52:04 2026 error -1 reading relation 130956612
- Fri Oct 09 15:52:05 2026 error -15 reading relation 131007711
- Fri Oct 09 15:52:10 2026 error -15 reading relation 131603594
- Fri Oct 09 15:52:10 2026 error -1 reading relation 131604434
- Fri Oct 09 15:52:10 2026 error -15 reading relation 131616488
- Fri Oct 09 15:52:10 2026 error -9 reading relation 131643192
- Fri Oct 09 15:52:15 2026 error -15 reading relation 132334296
- Fri Oct 09 15:52:16 2026 error -9 reading relation 132427280
- Fri Oct 09 15:52:16 2026 error -15 reading relation 132437550
- Fri Oct 09 15:52:19 2026 error -9 reading relation 132826051
- Fri Oct 09 15:52:22 2026 error -9 reading relation 133179824
- Fri Oct 09 15:53:39 2026 error -9 reading relation 143234216
- Fri Oct 09 15:53:54 2026 error -9 reading relation 145216348
- Fri Oct 09 15:53:54 2026 error -15 reading relation 145227070
- Fri Oct 09 15:54:28 2026 error -15 reading relation 149496858
- Fri Oct 09 15:54:28 2026 error -15 reading relation 149540558
- Fri Oct 09 15:54:28 2026 error -15 reading relation 149551663
- Fri Oct 09 15:54:32 2026 error -15 reading relation 149993638
- Fri Oct 09 15:54:32 2026 error -9 reading relation 150001662
- Fri Oct 09 15:54:35 2026 error -15 reading relation 150375787
- Fri Oct 09 15:54:35 2026 error -15 reading relation 150424108
- Fri Oct 09 15:54:37 2026 error -9 reading relation 150707561
- Fri Oct 09 15:54:52 2026 error -9 reading relation 152608368
- Fri Oct 09 15:54:52 2026 error -15 reading relation 152646275
- Fri Oct 09 15:54:53 2026 error -9 reading relation 152782934
- Fri Oct 09 15:54:53 2026 error -15 reading relation 152808890
- Fri Oct 09 15:54:54 2026 error -15 reading relation 152956909
- Fri Oct 09 15:55:13 2026 error -1 reading relation 155160669
- Fri Oct 09 15:55:14 2026 error -9 reading relation 155326365
- Fri Oct 09 15:55:21 2026 skipped 54 relations with composite factors
- Fri Oct 09 15:55:21 2026 found 28047807 hash collisions in 156211919 relations
- Fri Oct 09 15:55:49 2026 added 122198 free relations
- Fri Oct 09 15:55:49 2026 commencing duplicate removal, pass 2
- Fri Oct 09 15:57:58 2026 found 24509792 duplicates and 131824325 unique relations
- Fri Oct 09 15:57:58 2026 memory use: 724.8 MB
- Fri Oct 09 15:57:58 2026 reading ideals above 93913088
- Fri Oct 09 15:57:58 2026 commencing singleton removal, initial pass
- Fri Oct 09 16:12:37 2026 memory use: 3012.0 MB
- Fri Oct 09 16:12:38 2026 reading all ideals from disk
- Fri Oct 09 16:12:42 2026 memory use: 2143.9 MB
- Fri Oct 09 16:12:49 2026 commencing in-memory singleton removal
- Fri Oct 09 16:12:57 2026 begin with 131824325 relations and 108987623 unique ideals
- Fri Oct 09 16:14:19 2026 reduce to 79125523 relations and 50718113 ideals in 16 passes
- Fri Oct 09 16:14:19 2026 max relations containing the same ideal: 44
- Fri Oct 09 16:14:26 2026 reading ideals above 720000
- Fri Oct 09 16:14:27 2026 commencing singleton removal, initial pass
- Fri Oct 09 16:26:14 2026 memory use: 1506.0 MB
- Fri Oct 09 16:26:14 2026 reading all ideals from disk
- Fri Oct 09 16:26:21 2026 memory use: 2949.6 MB
- Fri Oct 09 16:26:36 2026 keeping 61154136 ideals with weight <= 200, target excess is 424451
- Fri Oct 09 16:26:49 2026 commencing in-memory singleton removal
- Fri Oct 09 16:27:02 2026 begin with 79125523 relations and 61154136 unique ideals
- Fri Oct 09 16:28:26 2026 reduce to 79103288 relations and 61131901 ideals in 8 passes
- Fri Oct 09 16:28:26 2026 max relations containing the same ideal: 200
- Fri Oct 09 16:29:25 2026 removing 8976109 relations and 6976109 ideals in 2000000 cliques
- Fri Oct 09 16:29:29 2026 commencing in-memory singleton removal
- Fri Oct 09 16:29:39 2026 begin with 70127179 relations and 61131901 unique ideals
- Fri Oct 09 16:31:03 2026 reduce to 69389520 relations and 53395766 ideals in 9 passes
- Fri Oct 09 16:31:03 2026 max relations containing the same ideal: 191
- Fri Oct 09 16:31:57 2026 removing 7026967 relations and 5026967 ideals in 2000000 cliques
- Fri Oct 09 16:32:00 2026 commencing in-memory singleton removal
- Fri Oct 09 16:32:08 2026 begin with 62362553 relations and 53395766 unique ideals
- Fri Oct 09 16:33:05 2026 reduce to 61841631 relations and 47832950 ideals in 7 passes
- Fri Oct 09 16:33:05 2026 max relations containing the same ideal: 178
- Fri Oct 09 16:33:52 2026 removing 6499433 relations and 4499433 ideals in 2000000 cliques
- Fri Oct 09 16:33:55 2026 commencing in-memory singleton removal
- Fri Oct 09 16:34:04 2026 begin with 55342198 relations and 47832950 unique ideals
- Fri Oct 09 16:34:53 2026 reduce to 54871174 relations and 42848473 ideals in 7 passes
- Fri Oct 09 16:34:53 2026 max relations containing the same ideal: 167
- Fri Oct 09 16:35:37 2026 removing 6228767 relations and 4228767 ideals in 2000000 cliques
- Fri Oct 09 16:35:39 2026 commencing in-memory singleton removal
- Fri Oct 09 16:35:46 2026 begin with 48642407 relations and 42848473 unique ideals
- Fri Oct 09 16:36:28 2026 reduce to 48180280 relations and 38142777 ideals in 7 passes
- Fri Oct 09 16:36:28 2026 max relations containing the same ideal: 154
- Fri Oct 09 16:37:07 2026 removing 6056311 relations and 4056311 ideals in 2000000 cliques
- Fri Oct 09 16:37:09 2026 commencing in-memory singleton removal
- Fri Oct 09 16:37:16 2026 begin with 42123969 relations and 38142777 unique ideals
- Fri Oct 09 16:37:57 2026 reduce to 41651964 relations and 33597528 ideals in 8 passes
- Fri Oct 09 16:37:57 2026 max relations containing the same ideal: 140
- Fri Oct 09 16:38:30 2026 removing 5942517 relations and 3942517 ideals in 2000000 cliques
- Fri Oct 09 16:38:32 2026 commencing in-memory singleton removal
- Fri Oct 09 16:38:38 2026 begin with 35709447 relations and 33597528 unique ideals
- Fri Oct 09 16:39:19 2026 reduce to 35208884 relations and 29134134 ideals in 9 passes
- Fri Oct 09 16:39:19 2026 max relations containing the same ideal: 122
- Fri Oct 09 16:39:47 2026 removing 5856021 relations and 3856021 ideals in 2000000 cliques
- Fri Oct 09 16:39:49 2026 commencing in-memory singleton removal
- Fri Oct 09 16:39:53 2026 begin with 29352863 relations and 29134134 unique ideals
- Fri Oct 09 16:40:22 2026 reduce to 28803485 relations and 24702431 ideals in 8 passes
- Fri Oct 09 16:40:22 2026 max relations containing the same ideal: 107
- Fri Oct 09 16:40:45 2026 removing 5778371 relations and 3778371 ideals in 2000000 cliques
- Fri Oct 09 16:40:47 2026 commencing in-memory singleton removal
- Fri Oct 09 16:40:51 2026 begin with 23025114 relations and 24702431 unique ideals
- Fri Oct 09 16:41:09 2026 reduce to 22394799 relations and 20257111 ideals in 7 passes
- Fri Oct 09 16:41:09 2026 max relations containing the same ideal: 94
- Fri Oct 09 16:41:28 2026 removing 4843818 relations and 3198494 ideals in 1645324 cliques
- Fri Oct 09 16:41:29 2026 commencing in-memory singleton removal
- Fri Oct 09 16:41:31 2026 begin with 17550981 relations and 20257111 unique ideals
- Fri Oct 09 16:41:48 2026 reduce to 16960192 relations and 16431295 ideals in 8 passes
- Fri Oct 09 16:41:48 2026 max relations containing the same ideal: 76
- Fri Oct 09 16:42:02 2026 removing 213646 relations and 177113 ideals in 36533 cliques
- Fri Oct 09 16:42:02 2026 commencing in-memory singleton removal
- Fri Oct 09 16:42:05 2026 begin with 16746546 relations and 16431295 unique ideals
- Fri Oct 09 16:42:14 2026 reduce to 16744676 relations and 16252304 ideals in 5 passes
- Fri Oct 09 16:42:14 2026 max relations containing the same ideal: 76
- Fri Oct 09 16:42:18 2026 relations with 0 large ideals: 1506
- Fri Oct 09 16:42:18 2026 relations with 1 large ideals: 5950
- Fri Oct 09 16:42:18 2026 relations with 2 large ideals: 91396
- Fri Oct 09 16:42:18 2026 relations with 3 large ideals: 582754
- Fri Oct 09 16:42:18 2026 relations with 4 large ideals: 1953776
- Fri Oct 09 16:42:18 2026 relations with 5 large ideals: 3818040
- Fri Oct 09 16:42:18 2026 relations with 6 large ideals: 4626099
- Fri Oct 09 16:42:18 2026 relations with 7+ large ideals: 5665155
- Fri Oct 09 16:42:18 2026 commencing 2-way merge
- Fri Oct 09 16:42:35 2026 reduce to 11058645 relation sets and 10566273 unique ideals
- Fri Oct 09 16:42:35 2026 commencing full merge
- Fri Oct 09 16:49:00 2026 memory use: 1378.9 MB
- Fri Oct 09 16:49:04 2026 found 4960231 cycles, need 4932473
- Fri Oct 09 16:49:04 2026 weight of 4932473 cycles is about 641535800 (130.06/cycle)
- Fri Oct 09 16:49:04 2026 distribution of cycle lengths:
- Fri Oct 09 16:49:04 2026 1 relations: 97850
- Fri Oct 09 16:49:04 2026 2 relations: 233255
- Fri Oct 09 16:49:04 2026 3 relations: 312131
- Fri Oct 09 16:49:04 2026 4 relations: 344755
- Fri Oct 09 16:49:04 2026 5 relations: 376025
- Fri Oct 09 16:49:04 2026 6 relations: 383202
- Fri Oct 09 16:49:04 2026 7 relations: 380803
- Fri Oct 09 16:49:04 2026 8 relations: 370079
- Fri Oct 09 16:49:04 2026 9 relations: 346729
- Fri Oct 09 16:49:04 2026 10+ relations: 2087644
- Fri Oct 09 16:49:04 2026 heaviest cycle: 28 relations
- Fri Oct 09 16:49:09 2026 commencing cycle optimization
- Fri Oct 09 16:49:21 2026 start with 45751681 relations
- Fri Oct 09 16:52:22 2026 pruned 2378442 relations
- Fri Oct 09 16:52:22 2026 memory use: 1168.2 MB
- Fri Oct 09 16:52:22 2026 distribution of cycle lengths:
- Fri Oct 09 16:52:22 2026 1 relations: 97850
- Fri Oct 09 16:52:22 2026 2 relations: 240385
- Fri Oct 09 16:52:22 2026 3 relations: 327481
- Fri Oct 09 16:52:22 2026 4 relations: 362122
- Fri Oct 09 16:52:22 2026 5 relations: 399269
- Fri Oct 09 16:52:22 2026 6 relations: 405912
- Fri Oct 09 16:52:22 2026 7 relations: 405939
- Fri Oct 09 16:52:22 2026 8 relations: 391592
- Fri Oct 09 16:52:22 2026 9 relations: 365863
- Fri Oct 09 16:52:22 2026 10+ relations: 1936060
- Fri Oct 09 16:52:22 2026 heaviest cycle: 28 relations
- Fri Oct 09 16:52:35 2026 RelProcTime: 4721
- Fri Oct 09 16:52:35 2026
- Fri Oct 09 16:52:35 2026 commencing linear algebra
- Fri Oct 09 16:52:36 2026 read 4932473 cycles
- Fri Oct 09 16:52:51 2026 cycles contain 16502839 unique relations
- Fri Oct 09 16:54:47 2026 read 16502839 relations
- Fri Oct 09 16:55:35 2026 using 20 quadratic characters above 4294917295
- Fri Oct 09 16:56:55 2026 building initial matrix
- Fri Oct 09 17:02:27 2026 memory use: 2311.7 MB
- Fri Oct 09 17:02:33 2026 read 4932473 cycles
- Fri Oct 09 17:02:35 2026 matrix is 4932296 x 4932473 (2473.1 MB) with weight 758472878 (153.77/col)
- Fri Oct 09 17:02:35 2026 sparse part has weight 589121009 (119.44/col)
- Fri Oct 09 17:04:03 2026 filtering completed in 2 passes
- Fri Oct 09 17:04:04 2026 matrix is 4932245 x 4932422 (2473.1 MB) with weight 758469519 (153.77/col)
- Fri Oct 09 17:04:04 2026 sparse part has weight 589119594 (119.44/col)
- Fri Oct 09 17:04:27 2026 matrix starts at (0, 0)
- Fri Oct 09 17:04:28 2026 matrix is 4932245 x 4932422 (2473.1 MB) with weight 758469519 (153.77/col)
- Fri Oct 09 17:04:28 2026 sparse part has weight 589119594 (119.44/col)
- Fri Oct 09 17:04:28 2026 saving the first 48 matrix rows for later
- Fri Oct 09 17:04:31 2026 matrix includes 64 packed rows
- Fri Oct 09 17:04:32 2026 matrix is 4932197 x 4932422 (2412.8 MB) with weight 650406762 (131.86/col)
- Fri Oct 09 17:04:32 2026 sparse part has weight 583188885 (118.24/col)
- Fri Oct 09 17:04:32 2026 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
- Fri Oct 09 17:05:05 2026 commencing Lanczos iteration (10 threads)
- Fri Oct 09 17:05:05 2026 memory use: 1991.9 MB
- Fri Oct 09 17:05:25 2026 linear algebra at 0.0%, ETA 18h 3m
- Fri Oct 09 17:05:31 2026 checkpointing every 290000 dimensions
- Sat Oct 10 10:11:22 2026 lanczos halted after 78004 iterations (dim = 4932195)
- Sat Oct 10 10:11:29 2026 recovered 31 nontrivial dependencies
- Sat Oct 10 10:11:30 2026 BLanczosTime: 62335
- Sat Oct 10 10:11:30 2026
- Sat Oct 10 10:11:30 2026 commencing square root phase
- Sat Oct 10 10:11:30 2026 handling dependencies 1 to 64
- Sat Oct 10 10:11:30 2026 reading relations for dependency 1
- Sat Oct 10 10:11:32 2026 read 2468290 cycles
- Sat Oct 10 10:11:39 2026 cycles contain 8253618 unique relations
- Sat Oct 10 10:13:00 2026 read 8253618 relations
- Sat Oct 10 10:13:55 2026 multiplying 8253618 relations
- Sat Oct 10 10:22:57 2026 multiply complete, coefficients have about 451.97 million bits
- Sat Oct 10 10:23:01 2026 initial square root is modulo 128762363
- Sat Oct 10 10:34:02 2026 sqrtTime: 1352
- Sat Oct 10 10:34:02 2026 p75 factor: 154592874618656046902254223334534505605112684858182829647227612542684036559
- Sat Oct 10 10:34:02 2026 p88 factor: 8992971219328111186149139779696483619478552753138154744937182518556955097763969979801177
- Sat Oct 10 10:34:02 2026 elapsed time 19:00:09
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