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- Mon Sep 15 14:48:06 2025
- Mon Sep 15 14:48:06 2025
- Mon Sep 15 14:48:06 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Mon Sep 15 14:48:06 2025 random seeds: 77078d48 aafb6b1f
- Mon Sep 15 14:48:06 2025 factoring 191908909082030965667770961180983273821360447441474229750150400688667808093531709231774915685830777134770566911420101930351009896327896927786843253078264934656686129633805076658315817493239308033093476768157 (207 digits)
- Mon Sep 15 14:48:08 2025 searching for 15-digit factors
- Mon Sep 15 14:48:09 2025 commencing number field sieve (207-digit input)
- Mon Sep 15 14:48:09 2025 R0: 426011234640946920227288591869931519201
- Mon Sep 15 14:48:09 2025 R1: -1
- Mon Sep 15 14:48:09 2025 A0: -53196641
- Mon Sep 15 14:48:09 2025 A1: 0
- Mon Sep 15 14:48:09 2025 A2: 0
- Mon Sep 15 14:48:09 2025 A3: 0
- Mon Sep 15 14:48:09 2025 A4: 0
- Mon Sep 15 14:48:09 2025 A5: 0
- Mon Sep 15 14:48:09 2025 A6: 1
- Mon Sep 15 14:48:09 2025 skew 24.68, size 4.558e-12, alpha 0.220, combined = 3.752e-13 rroots = 2
- Mon Sep 15 14:48:09 2025
- Mon Sep 15 14:48:09 2025 commencing relation filtering
- Mon Sep 15 14:48:09 2025 setting target matrix density to 100.0
- Mon Sep 15 14:48:09 2025 estimated available RAM is 15938.6 MB
- Mon Sep 15 14:48:09 2025 commencing duplicate removal, pass 1
- Mon Sep 15 15:14:26 2025 skipped 2 relations with composite factors
- Mon Sep 15 15:14:26 2025 found 7935729 hash collisions in 136060198 relations
- Mon Sep 15 15:14:58 2025 added 1218594 free relations
- Mon Sep 15 15:14:58 2025 commencing duplicate removal, pass 2
- Mon Sep 15 15:16:54 2025 found 0 duplicates and 137278792 unique relations
- Mon Sep 15 15:16:54 2025 memory use: 394.4 MB
- Mon Sep 15 15:16:54 2025 reading ideals above 115933184
- Mon Sep 15 15:16:54 2025 commencing singleton removal, initial pass
- Mon Sep 15 15:40:53 2025 memory use: 3012.0 MB
- Mon Sep 15 15:40:54 2025 reading all ideals from disk
- Mon Sep 15 15:41:01 2025 memory use: 2472.5 MB
- Mon Sep 15 15:41:24 2025 commencing in-memory singleton removal
- Mon Sep 15 15:41:49 2025 begin with 137278792 relations and 116699436 unique ideals
- Mon Sep 15 15:46:34 2025 reduce to 86017429 relations and 60156746 ideals in 16 passes
- Mon Sep 15 15:46:34 2025 max relations containing the same ideal: 36
- Mon Sep 15 15:46:53 2025 reading ideals above 720000
- Mon Sep 15 15:46:54 2025 commencing singleton removal, initial pass
- Mon Sep 15 16:09:45 2025 memory use: 1506.0 MB
- Mon Sep 15 16:09:45 2025 reading all ideals from disk
- Mon Sep 15 16:09:56 2025 memory use: 3353.8 MB
- Mon Sep 15 16:10:31 2025 keeping 72967943 ideals with weight <= 200, target excess is 436233
- Mon Sep 15 16:11:12 2025 commencing in-memory singleton removal
- Mon Sep 15 16:11:44 2025 begin with 86017429 relations and 72967943 unique ideals
- Mon Sep 15 16:14:54 2025 reduce to 86016779 relations and 72967293 ideals in 6 passes
- Mon Sep 15 16:14:54 2025 max relations containing the same ideal: 200
- Mon Sep 15 16:17:36 2025 removing 10113292 relations and 8113292 ideals in 2000000 cliques
- Mon Sep 15 16:17:42 2025 commencing in-memory singleton removal
- Mon Sep 15 16:18:11 2025 begin with 75903487 relations and 72967293 unique ideals
- Mon Sep 15 16:21:59 2025 reduce to 74958648 relations and 63881405 ideals in 8 passes
- Mon Sep 15 16:21:59 2025 max relations containing the same ideal: 191
- Mon Sep 15 16:24:19 2025 removing 7909505 relations and 5909505 ideals in 2000000 cliques
- Mon Sep 15 16:24:26 2025 commencing in-memory singleton removal
- Mon Sep 15 16:24:48 2025 begin with 67049143 relations and 63881405 unique ideals
- Mon Sep 15 16:28:34 2025 reduce to 66383397 relations and 57288416 ideals in 9 passes
- Mon Sep 15 16:28:34 2025 max relations containing the same ideal: 181
- Mon Sep 15 16:30:38 2025 removing 7278965 relations and 5278965 ideals in 2000000 cliques
- Mon Sep 15 16:30:44 2025 commencing in-memory singleton removal
- Mon Sep 15 16:31:04 2025 begin with 59104432 relations and 57288416 unique ideals
- Mon Sep 15 16:33:48 2025 reduce to 58490792 relations and 51378347 ideals in 8 passes
- Mon Sep 15 16:33:48 2025 max relations containing the same ideal: 165
- Mon Sep 15 16:35:32 2025 removing 6968879 relations and 4968879 ideals in 2000000 cliques
- Mon Sep 15 16:35:38 2025 commencing in-memory singleton removal
- Mon Sep 15 16:35:53 2025 begin with 51521913 relations and 51378347 unique ideals
- Mon Sep 15 16:38:11 2025 reduce to 50908932 relations and 45777282 ideals in 8 passes
- Mon Sep 15 16:38:11 2025 max relations containing the same ideal: 151
- Mon Sep 15 16:39:43 2025 removing 6784375 relations and 4784375 ideals in 2000000 cliques
- Mon Sep 15 16:39:47 2025 commencing in-memory singleton removal
- Mon Sep 15 16:40:00 2025 begin with 44124557 relations and 45777282 unique ideals
- Mon Sep 15 16:41:57 2025 reduce to 43478513 relations and 40324355 ideals in 8 passes
- Mon Sep 15 16:41:57 2025 max relations containing the same ideal: 134
- Mon Sep 15 16:43:15 2025 removing 6667502 relations and 4667502 ideals in 2000000 cliques
- Mon Sep 15 16:43:20 2025 commencing in-memory singleton removal
- Mon Sep 15 16:43:31 2025 begin with 36811011 relations and 40324355 unique ideals
- Mon Sep 15 16:45:07 2025 reduce to 36083907 relations and 34900521 ideals in 8 passes
- Mon Sep 15 16:45:07 2025 max relations containing the same ideal: 117
- Mon Sep 15 16:46:09 2025 removing 2806122 relations and 2128767 ideals in 677355 cliques
- Mon Sep 15 16:46:12 2025 commencing in-memory singleton removal
- Mon Sep 15 16:46:22 2025 begin with 33277785 relations and 34900521 unique ideals
- Mon Sep 15 16:47:36 2025 reduce to 33125092 relations and 32616491 ideals in 7 passes
- Mon Sep 15 16:47:36 2025 max relations containing the same ideal: 111
- Mon Sep 15 16:48:46 2025 relations with 0 large ideals: 15897
- Mon Sep 15 16:48:46 2025 relations with 1 large ideals: 5268
- Mon Sep 15 16:48:46 2025 relations with 2 large ideals: 52790
- Mon Sep 15 16:48:46 2025 relations with 3 large ideals: 420786
- Mon Sep 15 16:48:46 2025 relations with 4 large ideals: 1844871
- Mon Sep 15 16:48:46 2025 relations with 5 large ideals: 4862035
- Mon Sep 15 16:48:46 2025 relations with 6 large ideals: 8070528
- Mon Sep 15 16:48:46 2025 relations with 7+ large ideals: 17852917
- Mon Sep 15 16:48:46 2025 commencing 2-way merge
- Mon Sep 15 16:50:04 2025 reduce to 22170175 relation sets and 21661574 unique ideals
- Mon Sep 15 16:50:04 2025 commencing full merge
- Mon Sep 15 17:13:49 2025 memory use: 2820.6 MB
- Mon Sep 15 17:13:55 2025 found 10520727 cycles, need 10469774
- Mon Sep 15 17:14:03 2025 weight of 10469774 cycles is about 1047532008 (100.05/cycle)
- Mon Sep 15 17:14:03 2025 distribution of cycle lengths:
- Mon Sep 15 17:14:03 2025 1 relations: 590207
- Mon Sep 15 17:14:03 2025 2 relations: 793588
- Mon Sep 15 17:14:03 2025 3 relations: 907290
- Mon Sep 15 17:14:03 2025 4 relations: 915132
- Mon Sep 15 17:14:03 2025 5 relations: 908543
- Mon Sep 15 17:14:03 2025 6 relations: 873544
- Mon Sep 15 17:14:03 2025 7 relations: 824775
- Mon Sep 15 17:14:03 2025 8 relations: 760947
- Mon Sep 15 17:14:03 2025 9 relations: 686364
- Mon Sep 15 17:14:03 2025 10+ relations: 3209384
- Mon Sep 15 17:14:03 2025 heaviest cycle: 28 relations
- Mon Sep 15 17:14:12 2025 commencing cycle optimization
- Mon Sep 15 17:15:16 2025 start with 79590154 relations
- Mon Sep 15 17:22:35 2025 pruned 3249385 relations
- Mon Sep 15 17:22:37 2025 memory use: 2204.2 MB
- Mon Sep 15 17:22:37 2025 distribution of cycle lengths:
- Mon Sep 15 17:22:37 2025 1 relations: 590207
- Mon Sep 15 17:22:37 2025 2 relations: 813734
- Mon Sep 15 17:22:37 2025 3 relations: 946819
- Mon Sep 15 17:22:37 2025 4 relations: 951643
- Mon Sep 15 17:22:37 2025 5 relations: 951083
- Mon Sep 15 17:22:37 2025 6 relations: 910256
- Mon Sep 15 17:22:37 2025 7 relations: 859871
- Mon Sep 15 17:22:37 2025 8 relations: 786949
- Mon Sep 15 17:22:37 2025 9 relations: 704533
- Mon Sep 15 17:22:37 2025 10+ relations: 2954679
- Mon Sep 15 17:22:37 2025 heaviest cycle: 27 relations
- Mon Sep 15 17:23:28 2025 RelProcTime: 9319
- Mon Sep 15 17:23:28 2025
- Mon Sep 15 17:23:28 2025 commencing linear algebra
- Mon Sep 15 17:23:28 2025 using VBITS=512
- Mon Sep 15 17:23:31 2025 read 10469774 cycles
- Mon Sep 15 17:24:32 2025 cycles contain 32833332 unique relations
- Mon Sep 15 17:28:55 2025 read 32833332 relations
- Mon Sep 15 17:31:35 2025 using 20 quadratic characters above 4294917295
- Mon Sep 15 17:35:15 2025 building initial matrix
- Mon Sep 15 17:58:57 2025 memory use: 4281.3 MB
- Mon Sep 15 17:59:08 2025 read 10469774 cycles
- Mon Sep 15 17:59:11 2025 matrix is 10469597 x 10469774 (4207.7 MB) with weight 1222892225 (116.80/col)
- Mon Sep 15 17:59:11 2025 sparse part has weight 987862869 (94.35/col)
- Mon Sep 15 18:04:44 2025 filtering completed in 2 passes
- Mon Sep 15 18:04:49 2025 matrix is 10469202 x 10469369 (4207.7 MB) with weight 1222878602 (116.81/col)
- Mon Sep 15 18:04:49 2025 sparse part has weight 987858526 (94.36/col)
- Mon Sep 15 18:06:10 2025 matrix starts at (0, 0)
- Mon Sep 15 18:06:13 2025 matrix is 10469202 x 10469369 (4207.7 MB) with weight 1222878602 (116.81/col)
- Mon Sep 15 18:06:13 2025 sparse part has weight 987858526 (94.36/col)
- Mon Sep 15 18:06:13 2025 saving the first 496 matrix rows for later
- Mon Sep 15 18:06:20 2025 matrix includes 512 packed rows
- Mon Sep 15 18:06:38 2025 matrix is 10468706 x 10469369 (4060.0 MB) with weight 857211414 (81.88/col)
- Mon Sep 15 18:06:38 2025 sparse part has weight 813038841 (77.66/col)
- Mon Sep 15 20:00:04 2025
- Mon Sep 15 20:00:04 2025
- Mon Sep 15 20:00:04 2025 Msieve v. 1.54 (SVN unknown)
- Mon Sep 15 20:00:04 2025 random seeds: dc3f61af 121d19c4
- Mon Sep 15 20:00:04 2025 factoring 191908909082030965667770961180983273821360447441474229750150400688667808093531709231774915685830777134770566911420101930351009896327896927786843253078264934656686129633805076658315817493239308033093476768157 (207 digits)
- Mon Sep 15 20:00:05 2025 no P-1/P+1/ECM available, skipping
- Mon Sep 15 20:00:05 2025 commencing number field sieve (207-digit input)
- Mon Sep 15 20:00:05 2025 R0: 426011234640946920227288591869931519201
- Mon Sep 15 20:00:05 2025 R1: -1
- Mon Sep 15 20:00:05 2025 A0: -53196641
- Mon Sep 15 20:00:05 2025 A1: 0
- Mon Sep 15 20:00:05 2025 A2: 0
- Mon Sep 15 20:00:05 2025 A3: 0
- Mon Sep 15 20:00:05 2025 A4: 0
- Mon Sep 15 20:00:05 2025 A5: 0
- Mon Sep 15 20:00:05 2025 A6: 1
- Mon Sep 15 20:00:05 2025 skew 24.68, size 4.558e-12, alpha 0.220, combined = 3.752e-13 rroots = 2
- Mon Sep 15 20:00:05 2025
- Mon Sep 15 20:00:05 2025 commencing linear algebra
- Mon Sep 15 20:00:05 2025 using VBITS=256
- Mon Sep 15 20:00:05 2025 skipping matrix build
- Mon Sep 15 20:00:07 2025 matrix starts at (0, 0)
- Mon Sep 15 20:00:08 2025 matrix is 10469202 x 10469369 (4207.7 MB) with weight 1222878602 (116.81/col)
- Mon Sep 15 20:00:08 2025 sparse part has weight 987858526 (94.36/col)
- Mon Sep 15 20:00:08 2025 saving the first 240 matrix rows for later
- Mon Sep 15 20:00:10 2025 matrix includes 256 packed rows
- Mon Sep 15 20:00:14 2025 matrix is 10468962 x 10469369 (3909.0 MB) with weight 901449590 (86.10/col)
- Mon Sep 15 20:00:14 2025 sparse part has weight 857211414 (81.88/col)
- Mon Sep 15 20:00:14 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
- Mon Sep 15 20:00:14 2025 selected card has CUDA arch 8.6
- Mon Sep 15 20:01:12 2025 commencing Lanczos iteration
- Mon Sep 15 20:01:12 2025 memory use: 9415.5 MB
- Mon Sep 15 20:02:32 2025 linear algebra at 0.3%, ETA 7h28m
- Mon Sep 15 20:04:36 2025 checking every 20000 dimensions, checkpointing every 1380000 dimensions
- Tue Sep 16 03:52:29 2025 lanczos halted after 41018 iterations (dim = 10468957)
- Tue Sep 16 03:53:06 2025 recovered 32 nontrivial dependencies
- Tue Sep 16 03:53:07 2025 BLanczosTime: 28382
- Tue Sep 16 03:53:07 2025 elapsed time 07:53:03
- Tue Sep 16 07:35:19 2025
- Tue Sep 16 07:35:19 2025
- Tue Sep 16 07:35:19 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Sep 16 07:35:19 2025 random seeds: 76241ac7 86ce5b6a
- Tue Sep 16 07:35:19 2025 factoring 191908909082030965667770961180983273821360447441474229750150400688667808093531709231774915685830777134770566911420101930351009896327896927786843253078264934656686129633805076658315817493239308033093476768157 (207 digits)
- Tue Sep 16 07:35:20 2025 searching for 15-digit factors
- Tue Sep 16 07:35:21 2025 commencing number field sieve (207-digit input)
- Tue Sep 16 07:35:21 2025 R0: 426011234640946920227288591869931519201
- Tue Sep 16 07:35:21 2025 R1: -1
- Tue Sep 16 07:35:21 2025 A0: -53196641
- Tue Sep 16 07:35:21 2025 A1: 0
- Tue Sep 16 07:35:21 2025 A2: 0
- Tue Sep 16 07:35:21 2025 A3: 0
- Tue Sep 16 07:35:21 2025 A4: 0
- Tue Sep 16 07:35:21 2025 A5: 0
- Tue Sep 16 07:35:21 2025 A6: 1
- Tue Sep 16 07:35:21 2025 skew 24.68, size 4.558e-12, alpha 0.220, combined = 3.752e-13 rroots = 2
- Tue Sep 16 07:35:21 2025
- Tue Sep 16 07:35:21 2025 commencing square root phase
- Tue Sep 16 07:35:21 2025 reading relations for dependency 1
- Tue Sep 16 07:35:23 2025 read 5233593 cycles
- Tue Sep 16 07:35:50 2025 cycles contain 16413342 unique relations
- Tue Sep 16 07:38:08 2025 read 16413342 relations
- Tue Sep 16 07:41:43 2025 multiplying 16413342 relations
- Tue Sep 16 08:05:32 2025 multiply complete, coefficients have about 442.15 million bits
- Tue Sep 16 08:05:35 2025 initial square root is modulo 85811521
- Tue Sep 16 08:33:32 2025 sqrtTime: 3491
- Tue Sep 16 08:33:32 2025 p67 factor: 6086841780673683072820036663212256818765972366333659447947166347703
- Tue Sep 16 08:33:32 2025 p140 factor: 31528486528327463439012240219689032042453990036176239300117774112534353919923412195871124525123407843558799458578720269881502738507007180619
- Tue Sep 16 08:33:32 2025 elapsed time 00:58:13
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