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- Mon Apr 28 19:18:29 2025
- Mon Apr 28 19:18:29 2025
- Mon Apr 28 19:18:29 2025 Msieve v. 1.52 (SVN unknown)
- Mon Apr 28 19:18:29 2025 random seeds: 85d18e90 c845971c
- Mon Apr 28 19:18:29 2025 factoring 230787366099731077139953375859730251098979811132681085925012893823521313685704604185043558451071426382932025865456232702535123305135278756087586624166008767275420194738030151 (174 digits)
- Mon Apr 28 19:18:30 2025 no P-1/P+1/ECM available, skipping
- Mon Apr 28 19:18:30 2025 commencing number field sieve (174-digit input)
- Mon Apr 28 19:18:30 2025 R0: -3522452386508684621304862582692582
- Mon Apr 28 19:18:30 2025 R1: 1167930891562579540434349
- Mon Apr 28 19:18:30 2025 A0: 3232497022780425358477590685989472814568
- Mon Apr 28 19:18:30 2025 A1: -4542682155942391514549568822750509
- Mon Apr 28 19:18:30 2025 A2: -2742605469344433902349281738
- Mon Apr 28 19:18:30 2025 A3: 1503525269861873456953
- Mon Apr 28 19:18:30 2025 A4: 191771381914374
- Mon Apr 28 19:18:30 2025 A5: 2489760
- Mon Apr 28 19:18:30 2025 skew 1.00, size 7.310e-017, alpha -7.418, combined = 1.856e-015 rroots = 5
- Mon Apr 28 19:18:30 2025
- Mon Apr 28 19:18:30 2025 commencing relation filtering
- Mon Apr 28 19:18:30 2025 setting target matrix density to 100.0
- Mon Apr 28 19:18:30 2025 estimated available RAM is 16289.0 MB
- Mon Apr 28 19:18:30 2025 commencing duplicate removal, pass 1
- Mon Apr 28 19:19:07 2025 error -1 reading relation 2882059
- Mon Apr 28 19:19:07 2025 error -15 reading relation 2883638
- Mon Apr 28 19:19:08 2025 error -9 reading relation 2939767
- Mon Apr 28 20:23:58 2025 error -15 reading relation 271003422
- Mon Apr 28 20:23:59 2025 error -15 reading relation 271036388
- Mon Apr 28 20:23:59 2025 error -15 reading relation 271052169
- Mon Apr 28 20:23:59 2025 error -15 reading relation 271066401
- Mon Apr 28 20:24:02 2025 found 53490328 hash collisions in 271281689 relations
- Mon Apr 28 20:24:49 2025 added 121502 free relations
- Mon Apr 28 20:24:49 2025 commencing duplicate removal, pass 2
- Mon Apr 28 20:40:07 2025 found 52563058 duplicates and 218840133 unique relations
- Mon Apr 28 20:40:07 2025 memory use: 1321.5 MB
- Mon Apr 28 20:40:07 2025 reading ideals above 128778240
- Mon Apr 28 20:40:07 2025 commencing singleton removal, initial pass
- Mon Apr 28 21:22:31 2025 memory use: 5512.0 MB
- Mon Apr 28 21:22:31 2025 reading all ideals from disk
- Mon Apr 28 21:24:35 2025 memory use: 4012.6 MB
- Mon Apr 28 21:24:43 2025 commencing in-memory singleton removal
- Mon Apr 28 21:24:51 2025 begin with 218840133 relations and 168934594 unique ideals
- Mon Apr 28 21:26:13 2025 reduce to 163315959 relations and 109159923 ideals in 11 passes
- Mon Apr 28 21:26:13 2025 max relations containing the same ideal: 34
- Mon Apr 28 21:26:26 2025 reading ideals above 720000
- Mon Apr 28 21:26:26 2025 commencing singleton removal, initial pass
- Mon Apr 28 22:04:09 2025 memory use: 3012.0 MB
- Mon Apr 28 22:04:10 2025 reading all ideals from disk
- Mon Apr 28 22:07:30 2025 memory use: 6500.7 MB
- Mon Apr 28 22:07:46 2025 keeping 122943642 ideals with weight <= 200, target excess is 839710
- Mon Apr 28 22:08:05 2025 commencing in-memory singleton removal
- Mon Apr 28 22:08:18 2025 begin with 163315959 relations and 122943642 unique ideals
- Mon Apr 28 22:09:13 2025 reduce to 163315752 relations and 122943435 ideals in 4 passes
- Mon Apr 28 22:09:13 2025 max relations containing the same ideal: 200
- Mon Apr 28 22:10:17 2025 removing 9457307 relations and 7457307 ideals in 2000000 cliques
- Mon Apr 28 22:10:20 2025 commencing in-memory singleton removal
- Mon Apr 28 22:10:32 2025 begin with 153858445 relations and 122943435 unique ideals
- Mon Apr 28 22:12:15 2025 reduce to 153411825 relations and 115032302 ideals in 8 passes
- Mon Apr 28 22:12:15 2025 max relations containing the same ideal: 199
- Mon Apr 28 22:13:15 2025 removing 7316541 relations and 5316541 ideals in 2000000 cliques
- Mon Apr 28 22:13:18 2025 commencing in-memory singleton removal
- Mon Apr 28 22:13:29 2025 begin with 146095284 relations and 115032302 unique ideals
- Mon Apr 28 22:14:44 2025 reduce to 145794815 relations and 109411073 ideals in 6 passes
- Mon Apr 28 22:14:44 2025 max relations containing the same ideal: 194
- Mon Apr 28 22:15:41 2025 removing 6700502 relations and 4700502 ideals in 2000000 cliques
- Mon Apr 28 22:15:44 2025 commencing in-memory singleton removal
- Mon Apr 28 22:15:54 2025 begin with 139094313 relations and 109411073 unique ideals
- Mon Apr 28 22:17:16 2025 reduce to 138832106 relations and 104444740 ideals in 7 passes
- Mon Apr 28 22:17:16 2025 max relations containing the same ideal: 190
- Mon Apr 28 22:18:11 2025 removing 6383129 relations and 4383129 ideals in 2000000 cliques
- Mon Apr 28 22:18:14 2025 commencing in-memory singleton removal
- Mon Apr 28 22:18:24 2025 begin with 132448977 relations and 104444740 unique ideals
- Mon Apr 28 22:19:41 2025 reduce to 132206908 relations and 99816057 ideals in 7 passes
- Mon Apr 28 22:19:41 2025 max relations containing the same ideal: 185
- Mon Apr 28 22:20:34 2025 removing 6185674 relations and 4185674 ideals in 2000000 cliques
- Mon Apr 28 22:20:36 2025 commencing in-memory singleton removal
- Mon Apr 28 22:20:46 2025 begin with 126021234 relations and 99816057 unique ideals
- Mon Apr 28 22:21:59 2025 reduce to 125788882 relations and 95394670 ideals in 7 passes
- Mon Apr 28 22:21:59 2025 max relations containing the same ideal: 181
- Mon Apr 28 22:22:50 2025 removing 6049506 relations and 4049506 ideals in 2000000 cliques
- Mon Apr 28 22:22:52 2025 commencing in-memory singleton removal
- Mon Apr 28 22:23:01 2025 begin with 119739376 relations and 95394670 unique ideals
- Mon Apr 28 22:24:00 2025 reduce to 119510617 relations and 91113033 ideals in 6 passes
- Mon Apr 28 22:24:00 2025 max relations containing the same ideal: 173
- Mon Apr 28 22:24:49 2025 removing 5959964 relations and 3959964 ideals in 2000000 cliques
- Mon Apr 28 22:24:51 2025 commencing in-memory singleton removal
- Mon Apr 28 22:25:00 2025 begin with 113550653 relations and 91113033 unique ideals
- Mon Apr 28 22:25:55 2025 reduce to 113322225 relations and 86921153 ideals in 6 passes
- Mon Apr 28 22:25:55 2025 max relations containing the same ideal: 169
- Mon Apr 28 22:26:42 2025 removing 5888929 relations and 3888929 ideals in 2000000 cliques
- Mon Apr 28 22:26:44 2025 commencing in-memory singleton removal
- Mon Apr 28 22:26:52 2025 begin with 107433296 relations and 86921153 unique ideals
- Mon Apr 28 22:27:45 2025 reduce to 107201404 relations and 82796510 ideals in 6 passes
- Mon Apr 28 22:27:45 2025 max relations containing the same ideal: 165
- Mon Apr 28 22:28:29 2025 removing 5843632 relations and 3843632 ideals in 2000000 cliques
- Mon Apr 28 22:28:31 2025 commencing in-memory singleton removal
- Mon Apr 28 22:28:39 2025 begin with 101357772 relations and 82796510 unique ideals
- Mon Apr 28 22:29:28 2025 reduce to 101120381 relations and 78711259 ideals in 6 passes
- Mon Apr 28 22:29:28 2025 max relations containing the same ideal: 157
- Mon Apr 28 22:30:10 2025 removing 5814046 relations and 3814046 ideals in 2000000 cliques
- Mon Apr 28 22:30:12 2025 commencing in-memory singleton removal
- Mon Apr 28 22:30:19 2025 begin with 95306335 relations and 78711259 unique ideals
- Mon Apr 28 22:31:05 2025 reduce to 95060939 relations and 74647382 ideals in 6 passes
- Mon Apr 28 22:31:05 2025 max relations containing the same ideal: 149
- Mon Apr 28 22:31:46 2025 removing 5796179 relations and 3796179 ideals in 2000000 cliques
- Mon Apr 28 22:31:48 2025 commencing in-memory singleton removal
- Mon Apr 28 22:31:54 2025 begin with 89264760 relations and 74647382 unique ideals
- Mon Apr 28 22:32:56 2025 reduce to 89006003 relations and 70587342 ideals in 8 passes
- Mon Apr 28 22:32:56 2025 max relations containing the same ideal: 146
- Mon Apr 28 22:33:34 2025 removing 5795961 relations and 3795961 ideals in 2000000 cliques
- Mon Apr 28 22:33:36 2025 commencing in-memory singleton removal
- Mon Apr 28 22:33:42 2025 begin with 83210042 relations and 70587342 unique ideals
- Mon Apr 28 22:34:28 2025 reduce to 82936131 relations and 66511891 ideals in 7 passes
- Mon Apr 28 22:34:28 2025 max relations containing the same ideal: 136
- Mon Apr 28 22:35:03 2025 removing 5812157 relations and 3812157 ideals in 2000000 cliques
- Mon Apr 28 22:35:05 2025 commencing in-memory singleton removal
- Mon Apr 28 22:35:11 2025 begin with 77123974 relations and 66511891 unique ideals
- Mon Apr 28 22:35:47 2025 reduce to 76831126 relations and 62400437 ideals in 6 passes
- Mon Apr 28 22:35:47 2025 max relations containing the same ideal: 134
- Mon Apr 28 22:36:20 2025 removing 5837243 relations and 3837243 ideals in 2000000 cliques
- Mon Apr 28 22:36:22 2025 commencing in-memory singleton removal
- Mon Apr 28 22:36:27 2025 begin with 70993883 relations and 62400437 unique ideals
- Mon Apr 28 22:37:06 2025 reduce to 70671406 relations and 58233374 ideals in 7 passes
- Mon Apr 28 22:37:06 2025 max relations containing the same ideal: 127
- Mon Apr 28 22:37:37 2025 removing 5885561 relations and 3885561 ideals in 2000000 cliques
- Mon Apr 28 22:37:39 2025 commencing in-memory singleton removal
- Mon Apr 28 22:37:43 2025 begin with 64785845 relations and 58233374 unique ideals
- Mon Apr 28 22:38:19 2025 reduce to 64429385 relations and 53982786 ideals in 7 passes
- Mon Apr 28 22:38:19 2025 max relations containing the same ideal: 121
- Mon Apr 28 22:38:47 2025 removing 5955470 relations and 3955470 ideals in 2000000 cliques
- Mon Apr 28 22:38:49 2025 commencing in-memory singleton removal
- Mon Apr 28 22:38:53 2025 begin with 58473915 relations and 53982786 unique ideals
- Mon Apr 28 22:39:25 2025 reduce to 58071516 relations and 49614033 ideals in 7 passes
- Mon Apr 28 22:39:25 2025 max relations containing the same ideal: 109
- Mon Apr 28 22:39:50 2025 removing 6049371 relations and 4049371 ideals in 2000000 cliques
- Mon Apr 28 22:39:52 2025 commencing in-memory singleton removal
- Mon Apr 28 22:39:55 2025 begin with 52022145 relations and 49614033 unique ideals
- Mon Apr 28 22:40:23 2025 reduce to 51553497 relations and 45082241 ideals in 7 passes
- Mon Apr 28 22:40:23 2025 max relations containing the same ideal: 99
- Mon Apr 28 22:40:46 2025 removing 6176944 relations and 4176944 ideals in 2000000 cliques
- Mon Apr 28 22:40:48 2025 commencing in-memory singleton removal
- Mon Apr 28 22:40:51 2025 begin with 45376553 relations and 45082241 unique ideals
- Mon Apr 28 22:41:18 2025 reduce to 44812961 relations and 40323124 ideals in 8 passes
- Mon Apr 28 22:41:18 2025 max relations containing the same ideal: 90
- Mon Apr 28 22:41:39 2025 removing 6362588 relations and 4362588 ideals in 2000000 cliques
- Mon Apr 28 22:41:40 2025 commencing in-memory singleton removal
- Mon Apr 28 22:41:43 2025 begin with 38450373 relations and 40323124 unique ideals
- Mon Apr 28 22:42:06 2025 reduce to 37740147 relations and 35223481 ideals in 8 passes
- Mon Apr 28 22:42:06 2025 max relations containing the same ideal: 79
- Mon Apr 28 22:42:23 2025 removing 5372276 relations and 3829674 ideals in 1542602 cliques
- Mon Apr 28 22:42:24 2025 commencing in-memory singleton removal
- Mon Apr 28 22:42:27 2025 begin with 32367871 relations and 35223481 unique ideals
- Mon Apr 28 22:42:43 2025 reduce to 31738366 relations and 30741881 ideals in 7 passes
- Mon Apr 28 22:42:43 2025 max relations containing the same ideal: 74
- Mon Apr 28 22:42:58 2025 removing 168750 relations and 146329 ideals in 22421 cliques
- Mon Apr 28 22:42:59 2025 commencing in-memory singleton removal
- Mon Apr 28 22:43:01 2025 begin with 31569616 relations and 30741881 unique ideals
- Mon Apr 28 22:43:10 2025 reduce to 31569067 relations and 30595003 ideals in 4 passes
- Mon Apr 28 22:43:10 2025 max relations containing the same ideal: 74
- Mon Apr 28 22:43:15 2025 relations with 0 large ideals: 2863
- Mon Apr 28 22:43:15 2025 relations with 1 large ideals: 13309
- Mon Apr 28 22:43:15 2025 relations with 2 large ideals: 189174
- Mon Apr 28 22:43:15 2025 relations with 3 large ideals: 1165945
- Mon Apr 28 22:43:15 2025 relations with 4 large ideals: 3794978
- Mon Apr 28 22:43:15 2025 relations with 5 large ideals: 7304921
- Mon Apr 28 22:43:15 2025 relations with 6 large ideals: 8709909
- Mon Apr 28 22:43:15 2025 relations with 7+ large ideals: 10387968
- Mon Apr 28 22:43:15 2025 commencing 2-way merge
- Mon Apr 28 22:43:34 2025 reduce to 19967092 relation sets and 18993028 unique ideals
- Mon Apr 28 22:43:34 2025 commencing full merge
- Mon Apr 28 22:49:57 2025 memory use: 2307.3 MB
- Mon Apr 28 22:50:01 2025 found 9453199 cycles, need 9331228
- Mon Apr 28 22:50:02 2025 weight of 9331228 cycles is about 933145260 (100.00/cycle)
- Mon Apr 28 22:50:02 2025 distribution of cycle lengths:
- Mon Apr 28 22:50:02 2025 1 relations: 775788
- Mon Apr 28 22:50:02 2025 2 relations: 745925
- Mon Apr 28 22:50:02 2025 3 relations: 787033
- Mon Apr 28 22:50:02 2025 4 relations: 804063
- Mon Apr 28 22:50:02 2025 5 relations: 824929
- Mon Apr 28 22:50:02 2025 6 relations: 792831
- Mon Apr 28 22:50:02 2025 7 relations: 763237
- Mon Apr 28 22:50:02 2025 8 relations: 693873
- Mon Apr 28 22:50:02 2025 9 relations: 615103
- Mon Apr 28 22:50:02 2025 10+ relations: 2528446
- Mon Apr 28 22:50:02 2025 heaviest cycle: 24 relations
- Mon Apr 28 22:50:10 2025 commencing cycle optimization
- Mon Apr 28 22:50:24 2025 start with 65986762 relations
- Mon Apr 28 22:52:42 2025 pruned 2495419 relations
- Mon Apr 28 22:52:42 2025 memory use: 1964.7 MB
- Mon Apr 28 22:52:42 2025 distribution of cycle lengths:
- Mon Apr 28 22:52:42 2025 1 relations: 775788
- Mon Apr 28 22:52:42 2025 2 relations: 765874
- Mon Apr 28 22:52:42 2025 3 relations: 819733
- Mon Apr 28 22:52:42 2025 4 relations: 835460
- Mon Apr 28 22:52:42 2025 5 relations: 862735
- Mon Apr 28 22:52:42 2025 6 relations: 826769
- Mon Apr 28 22:52:42 2025 7 relations: 795339
- Mon Apr 28 22:52:42 2025 8 relations: 716788
- Mon Apr 28 22:52:42 2025 9 relations: 628788
- Mon Apr 28 22:52:42 2025 10+ relations: 2303954
- Mon Apr 28 22:52:42 2025 heaviest cycle: 24 relations
- Mon Apr 28 22:52:58 2025 RelProcTime: 12868
- Mon Apr 28 22:52:58 2025
- Mon Apr 28 22:52:58 2025 commencing linear algebra
- Mon Apr 28 22:53:00 2025 read 9331228 cycles
- Mon Apr 28 22:53:15 2025 cycles contain 30988446 unique relations
- Mon Apr 28 23:05:45 2025 read 30988446 relations
- Mon Apr 28 23:06:33 2025 using 20 quadratic characters above 2147483354
- Mon Apr 28 23:08:39 2025 building initial matrix
- Mon Apr 28 23:14:22 2025 memory use: 4250.1 MB
- Mon Apr 28 23:16:42 2025 read 9331228 cycles
- Mon Apr 28 23:16:45 2025 matrix is 9331051 x 9331228 (3776.8 MB) with weight 1161260792 (124.45/col)
- Mon Apr 28 23:16:45 2025 sparse part has weight 878087251 (94.10/col)
- Mon Apr 28 23:18:22 2025 filtering completed in 2 passes
- Mon Apr 28 23:18:26 2025 matrix is 9329420 x 9329597 (3776.6 MB) with weight 1161183925 (124.46/col)
- Mon Apr 28 23:18:26 2025 sparse part has weight 878060747 (94.12/col)
- Mon Apr 28 23:20:39 2025 matrix starts at (0, 0)
- Mon Apr 28 23:20:42 2025 matrix is 9329420 x 9329597 (3776.6 MB) with weight 1161183925 (124.46/col)
- Mon Apr 28 23:20:42 2025 sparse part has weight 878060747 (94.12/col)
- Mon Apr 28 23:20:43 2025 saving the first 48 matrix rows for later
- Mon Apr 28 23:20:46 2025 matrix includes 64 packed rows
- Mon Apr 28 23:20:48 2025 matrix is 9329372 x 9329597 (3668.7 MB) with weight 970847845 (104.06/col)
- Mon Apr 28 23:20:48 2025 sparse part has weight 868424658 (93.08/col)
- Mon Apr 28 23:20:48 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
- Mon Apr 28 23:21:35 2025 commencing Lanczos iteration (4 threads)
- Mon Apr 28 23:21:35 2025 memory use: 3054.4 MB
- Mon Apr 28 23:22:39 2025 linear algebra at 0.0%, ETA 105h24m
- Mon Apr 28 23:23:00 2025 checkpointing every 90000 dimensions
- Sat May 03 08:55:47 2025 lanczos halted after 147535 iterations (dim = 9329372)
- Sat May 03 08:55:56 2025 recovered 27 nontrivial dependencies
- Sat May 03 08:56:00 2025 BLanczosTime: 381782
- Sat May 03 08:56:00 2025
- Sat May 03 08:56:00 2025 commencing square root phase
- Sat May 03 08:56:00 2025 handling dependencies 1 to 64
- Sat May 03 08:56:00 2025 reading relations for dependency 1
- Sat May 03 08:56:03 2025 read 4665083 cycles
- Sat May 03 08:56:10 2025 cycles contain 15492236 unique relations
- Sat May 03 09:09:06 2025 read 15492236 relations
- Sat May 03 09:10:27 2025 multiplying 15492236 relations
- Sat May 03 09:32:09 2025 multiply complete, coefficients have about 938.21 million bits
- Sat May 03 09:32:20 2025 initial square root is modulo 261328349
- Sat May 03 10:01:08 2025 sqrtTime: 3908
- Sat May 03 10:01:08 2025 prp84 factor: 111698099264439492824247984418320857431301447279429230769078850555022873091379961951
- Sat May 03 10:01:08 2025 prp91 factor: 2066170934147714395978476769699744534778843676368989702699804954426529574479235326258578201
- Sat May 03 10:01:08 2025 elapsed time 110:42:39
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