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- Fri May 1 08:49:25 2026
- Fri May 1 08:49:25 2026
- Fri May 1 08:49:25 2026 Msieve v. 1.54 (SVN unknown)
- Fri May 1 08:49:25 2026 random seeds: 49e98c4f 0ca21f2f
- Fri May 1 08:49:25 2026 factoring 70463831519696862228621362448800479240746089432937909847472869193837687393994064650907456113428621473726177066626688188346785624375836048619099009394157814119592043982817413 (173 digits)
- Fri May 1 08:49:26 2026 no P-1/P+1/ECM available, skipping
- Fri May 1 08:49:26 2026 commencing number field sieve (173-digit input)
- Fri May 1 08:49:26 2026 R0: -2685701626958719057994124356748778
- Fri May 1 08:49:26 2026 R1: 12401550628612297434578719
- Fri May 1 08:49:26 2026 A0: -80929462552761617233949776626109280912532
- Fri May 1 08:49:26 2026 A1: 69807255674815794925386765707312117
- Fri May 1 08:49:26 2026 A2: 9422369295778826811216215700
- Fri May 1 08:49:26 2026 A3: -1464443176279935636851
- Fri May 1 08:49:26 2026 A4: -136601550794922
- Fri May 1 08:49:26 2026 A5: 3686760
- Fri May 1 08:49:26 2026 skew 8100615.85, size 7.359e-17, alpha -7.759, combined = 2.393e-13 rroots = 5
- Fri May 1 08:49:26 2026
- Fri May 1 08:49:26 2026 commencing relation filtering
- Fri May 1 08:49:26 2026 setting target matrix density to 88.0
- Fri May 1 08:49:26 2026 estimated available RAM is 128742.2 MB
- Fri May 1 08:49:26 2026 commencing duplicate removal, pass 1
- Fri May 1 09:07:54 2026 error -1 reading relation 97714211
- Fri May 1 09:39:15 2026 skipped 1 malformed relations
- Fri May 1 09:39:15 2026 found 13690566 hash collisions in 252007566 relations
- Fri May 1 09:39:48 2026 added 122044 free relations
- Fri May 1 09:39:48 2026 commencing duplicate removal, pass 2
- Fri May 1 09:41:29 2026 found 0 duplicates and 252129610 unique relations
- Fri May 1 09:41:29 2026 memory use: 852.8 MB
- Fri May 1 09:41:29 2026 reading ideals above 720000
- Fri May 1 09:41:29 2026 commencing singleton removal, initial pass
- Fri May 1 10:41:16 2026 memory use: 6024.0 MB
- Fri May 1 10:41:17 2026 reading all ideals from disk
- Fri May 1 10:42:03 2026 memory use: 11898.3 MB
- Fri May 1 10:42:50 2026 keeping 240139361 ideals with weight <= 200, target excess is 1469147
- Fri May 1 10:43:44 2026 commencing in-memory singleton removal
- Fri May 1 10:45:02 2026 begin with 252129610 relations and 240139361 unique ideals
- Fri May 1 10:49:48 2026 reduce to 145988758 relations and 121817102 ideals in 17 passes
- Fri May 1 10:49:48 2026 max relations containing the same ideal: 148
- Fri May 1 10:51:32 2026 removing 12676129 relations and 10676129 ideals in 2000000 cliques
- Fri May 1 10:51:38 2026 commencing in-memory singleton removal
- Fri May 1 10:52:15 2026 begin with 133312629 relations and 121817102 unique ideals
- Fri May 1 10:54:04 2026 reduce to 132441733 relations and 110254547 ideals in 9 passes
- Fri May 1 10:54:04 2026 max relations containing the same ideal: 139
- Fri May 1 10:55:38 2026 removing 9634200 relations and 7634200 ideals in 2000000 cliques
- Fri May 1 10:55:44 2026 commencing in-memory singleton removal
- Fri May 1 10:56:17 2026 begin with 122807533 relations and 110254547 unique ideals
- Fri May 1 10:57:33 2026 reduce to 122229174 relations and 102032919 ideals in 9 passes
- Fri May 1 10:57:33 2026 max relations containing the same ideal: 134
- Fri May 1 10:58:55 2026 removing 8712946 relations and 6712946 ideals in 2000000 cliques
- Fri May 1 10:59:00 2026 commencing in-memory singleton removal
- Fri May 1 10:59:29 2026 begin with 113516228 relations and 102032919 unique ideals
- Fri May 1 11:00:27 2026 reduce to 112999109 relations and 94794639 ideals in 8 passes
- Fri May 1 11:00:27 2026 max relations containing the same ideal: 127
- Fri May 1 11:01:38 2026 removing 8243850 relations and 6243850 ideals in 2000000 cliques
- Fri May 1 11:01:43 2026 commencing in-memory singleton removal
- Fri May 1 11:02:08 2026 begin with 104755259 relations and 94794639 unique ideals
- Fri May 1 11:03:00 2026 reduce to 104256142 relations and 88043406 ideals in 8 passes
- Fri May 1 11:03:00 2026 max relations containing the same ideal: 123
- Fri May 1 11:04:05 2026 removing 7966057 relations and 5966057 ideals in 2000000 cliques
- Fri May 1 11:04:11 2026 commencing in-memory singleton removal
- Fri May 1 11:04:47 2026 begin with 96290085 relations and 88043406 unique ideals
- Fri May 1 11:05:54 2026 reduce to 95786866 relations and 81565294 ideals in 7 passes
- Fri May 1 11:05:54 2026 max relations containing the same ideal: 115
- Fri May 1 11:07:36 2026 removing 7795200 relations and 5795200 ideals in 2000000 cliques
- Fri May 1 11:07:43 2026 commencing in-memory singleton removal
- Fri May 1 11:08:19 2026 begin with 87991666 relations and 81565294 unique ideals
- Fri May 1 11:09:29 2026 reduce to 87471878 relations and 75240407 ideals in 7 passes
- Fri May 1 11:09:29 2026 max relations containing the same ideal: 106
- Fri May 1 11:11:04 2026 removing 7700559 relations and 5700559 ideals in 2000000 cliques
- Fri May 1 11:11:09 2026 commencing in-memory singleton removal
- Fri May 1 11:11:42 2026 begin with 79771319 relations and 75240407 unique ideals
- Fri May 1 11:12:48 2026 reduce to 79218277 relations and 68975691 ideals in 8 passes
- Fri May 1 11:12:48 2026 max relations containing the same ideal: 99
- Fri May 1 11:13:51 2026 removing 7662413 relations and 5662413 ideals in 2000000 cliques
- Fri May 1 11:13:55 2026 commencing in-memory singleton removal
- Fri May 1 11:14:15 2026 begin with 71555864 relations and 68975691 unique ideals
- Fri May 1 11:14:56 2026 reduce to 70951147 relations and 62695138 ideals in 8 passes
- Fri May 1 11:14:56 2026 max relations containing the same ideal: 93
- Fri May 1 11:15:52 2026 removing 7674214 relations and 5674214 ideals in 2000000 cliques
- Fri May 1 11:15:56 2026 commencing in-memory singleton removal
- Fri May 1 11:16:13 2026 begin with 63276933 relations and 62695138 unique ideals
- Fri May 1 11:16:54 2026 reduce to 62597000 relations and 56324182 ideals in 9 passes
- Fri May 1 11:16:54 2026 max relations containing the same ideal: 86
- Fri May 1 11:17:44 2026 removing 7743519 relations and 5743519 ideals in 2000000 cliques
- Fri May 1 11:17:48 2026 commencing in-memory singleton removal
- Fri May 1 11:18:03 2026 begin with 54853481 relations and 56324182 unique ideals
- Fri May 1 11:18:40 2026 reduce to 54055172 relations and 49760351 ideals in 9 passes
- Fri May 1 11:18:40 2026 max relations containing the same ideal: 77
- Fri May 1 11:19:25 2026 removing 7880546 relations and 5880546 ideals in 2000000 cliques
- Fri May 1 11:19:29 2026 commencing in-memory singleton removal
- Fri May 1 11:19:42 2026 begin with 46174626 relations and 49760351 unique ideals
- Fri May 1 11:20:14 2026 reduce to 45184362 relations and 42857714 ideals in 10 passes
- Fri May 1 11:20:14 2026 max relations containing the same ideal: 67
- Fri May 1 11:20:51 2026 removing 3313867 relations and 2691430 ideals in 622437 cliques
- Fri May 1 11:20:53 2026 commencing in-memory singleton removal
- Fri May 1 11:21:04 2026 begin with 41870495 relations and 42857714 unique ideals
- Fri May 1 11:21:27 2026 reduce to 41681716 relations and 39975248 ideals in 8 passes
- Fri May 1 11:21:27 2026 max relations containing the same ideal: 63
- Fri May 1 11:22:05 2026 relations with 0 large ideals: 7793
- Fri May 1 11:22:05 2026 relations with 1 large ideals: 82500
- Fri May 1 11:22:05 2026 relations with 2 large ideals: 704575
- Fri May 1 11:22:05 2026 relations with 3 large ideals: 3098733
- Fri May 1 11:22:05 2026 relations with 4 large ideals: 7759671
- Fri May 1 11:22:05 2026 relations with 5 large ideals: 11617992
- Fri May 1 11:22:05 2026 relations with 6 large ideals: 10567297
- Fri May 1 11:22:05 2026 relations with 7+ large ideals: 7843155
- Fri May 1 11:22:05 2026 commencing 2-way merge
- Fri May 1 11:22:52 2026 reduce to 24958256 relation sets and 23251788 unique ideals
- Fri May 1 11:22:52 2026 commencing full merge
- Fri May 1 11:30:03 2026 memory use: 2481.4 MB
- Fri May 1 11:30:06 2026 found 12190042 cycles, need 11957988
- Fri May 1 11:30:11 2026 weight of 11957988 cycles is about 1052643359 (88.03/cycle)
- Fri May 1 11:30:11 2026 distribution of cycle lengths:
- Fri May 1 11:30:11 2026 1 relations: 1131586
- Fri May 1 11:30:11 2026 2 relations: 1116074
- Fri May 1 11:30:11 2026 3 relations: 1202783
- Fri May 1 11:30:11 2026 4 relations: 1174765
- Fri May 1 11:30:11 2026 5 relations: 1162276
- Fri May 1 11:30:11 2026 6 relations: 1071503
- Fri May 1 11:30:11 2026 7 relations: 979514
- Fri May 1 11:30:11 2026 8 relations: 876906
- Fri May 1 11:30:11 2026 9 relations: 758902
- Fri May 1 11:30:11 2026 10+ relations: 2483679
- Fri May 1 11:30:11 2026 heaviest cycle: 20 relations
- Fri May 1 11:30:16 2026 commencing cycle optimization
- Fri May 1 11:30:41 2026 start with 74865713 relations
- Fri May 1 11:32:43 2026 pruned 1875377 relations
- Fri May 1 11:32:45 2026 memory use: 2449.4 MB
- Fri May 1 11:32:45 2026 distribution of cycle lengths:
- Fri May 1 11:32:45 2026 1 relations: 1131586
- Fri May 1 11:32:45 2026 2 relations: 1142508
- Fri May 1 11:32:45 2026 3 relations: 1244906
- Fri May 1 11:32:45 2026 4 relations: 1207824
- Fri May 1 11:32:45 2026 5 relations: 1195820
- Fri May 1 11:32:45 2026 6 relations: 1096638
- Fri May 1 11:32:45 2026 7 relations: 1000949
- Fri May 1 11:32:45 2026 8 relations: 886639
- Fri May 1 11:32:45 2026 9 relations: 761371
- Fri May 1 11:32:45 2026 10+ relations: 2289747
- Fri May 1 11:32:45 2026 heaviest cycle: 19 relations
- Fri May 1 11:33:20 2026 RelProcTime: 9834
- Fri May 1 11:33:30 2026 elapsed time 02:44:05
- Fri May 1 11:44:00 2026
- Fri May 1 11:44:00 2026
- Fri May 1 11:44:00 2026 Msieve v. 1.54 (SVN unknown)
- Fri May 1 11:44:00 2026 random seeds: 8b97b880 5271669f
- Fri May 1 11:44:00 2026 factoring 70463831519696862228621362448800479240746089432937909847472869193837687393994064650907456113428621473726177066626688188346785624375836048619099009394157814119592043982817413 (173 digits)
- Fri May 1 11:44:00 2026 no P-1/P+1/ECM available, skipping
- Fri May 1 11:44:00 2026 commencing number field sieve (173-digit input)
- Fri May 1 11:44:00 2026 R0: -2685701626958719057994124356748778
- Fri May 1 11:44:00 2026 R1: 12401550628612297434578719
- Fri May 1 11:44:00 2026 A0: -80929462552761617233949776626109280912532
- Fri May 1 11:44:00 2026 A1: 69807255674815794925386765707312117
- Fri May 1 11:44:00 2026 A2: 9422369295778826811216215700
- Fri May 1 11:44:00 2026 A3: -1464443176279935636851
- Fri May 1 11:44:00 2026 A4: -136601550794922
- Fri May 1 11:44:00 2026 A5: 3686760
- Fri May 1 11:44:00 2026 skew 8100615.85, size 7.359e-17, alpha -7.759, combined = 2.393e-13 rroots = 5
- Fri May 1 11:44:00 2026
- Fri May 1 11:44:00 2026 commencing linear algebra
- Fri May 1 11:44:00 2026 using VBITS=128
- Fri May 1 11:44:02 2026 read 11957988 cycles
- Fri May 1 11:44:30 2026 cycles contain 40483452 unique relations
- Fri May 1 11:49:53 2026 read 40483452 relations
- Fri May 1 11:51:11 2026 using 20 quadratic characters above 4294917295
- Fri May 1 11:54:59 2026 building initial matrix
- Fri May 1 12:03:55 2026 memory use: 5674.2 MB
- Fri May 1 12:04:04 2026 read 11957988 cycles
- Fri May 1 12:04:06 2026 matrix is 11957804 x 11957988 (4405.6 MB) with weight 1378313296 (115.26/col)
- Fri May 1 12:04:06 2026 sparse part has weight 1011398625 (84.58/col)
- Fri May 1 12:07:04 2026 filtering completed in 2 passes
- Fri May 1 12:07:07 2026 matrix is 11947318 x 11947500 (4404.6 MB) with weight 1377870712 (115.33/col)
- Fri May 1 12:07:07 2026 sparse part has weight 1011268203 (84.64/col)
- Fri May 1 12:08:08 2026 matrix starts at (0, 0)
- Fri May 1 12:08:10 2026 matrix is 11947318 x 11947500 (4404.6 MB) with weight 1377870712 (115.33/col)
- Fri May 1 12:08:10 2026 sparse part has weight 1011268203 (84.64/col)
- Fri May 1 12:08:10 2026 saving the first 112 matrix rows for later
- Fri May 1 12:08:12 2026 matrix includes 128 packed rows
- Fri May 1 12:08:15 2026 matrix is 11947206 x 11947500 (4075.9 MB) with weight 1007629990 (84.34/col)
- Fri May 1 12:08:15 2026 sparse part has weight 925105024 (77.43/col)
- Fri May 1 12:08:16 2026 using GPU 0 (Tesla P100-PCIE-16GB)
- Fri May 1 12:08:16 2026 selected card has CUDA arch 6.0
- Fri May 1 12:10:51 2026 commencing Lanczos iteration
- Fri May 1 12:10:52 2026 memory use: 8607.6 MB
- Fri May 1 12:13:38 2026 linear algebra at 0.3%, ETA 18h 0m
- Fri May 1 12:14:21 2026 checking every 10000 dimensions, checkpointing every 670000 dimensions
- Sat May 2 05:23:31 2026 lanczos halted after 93901 iterations (dim = 11947205)
- Sat May 2 05:23:57 2026 recovered 30 nontrivial dependencies
- Sat May 2 05:23:58 2026 BLanczosTime: 63598
- Sat May 2 05:23:58 2026
- Sat May 2 05:23:58 2026 commencing square root phase
- Sat May 2 05:23:58 2026 reading relations for dependency 1
- Sat May 2 05:24:02 2026 read 5975530 cycles
- Sat May 2 05:24:13 2026 cycles contain 20248718 unique relations
- Sat May 2 05:27:54 2026 read 20248718 relations
- Sat May 2 05:29:46 2026 multiplying 20248718 relations
- Sat May 2 05:56:19 2026 multiply complete, coefficients have about 1216.00 million bits
- Sat May 2 05:56:29 2026 initial square root is modulo 285091
- Sat May 2 06:35:47 2026 sqrtTime: 4309
- Sat May 2 06:35:47 2026 p63 factor: 875731786489111875339184437845891666838829695218188115671647257
- Sat May 2 06:35:47 2026 p110 factor: 80462799919816489640126343417539026098915929176946243134953181883557573902959768959388062557572134454679295309
- Sat May 2 06:35:47 2026 elapsed time 18:51:47
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