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- Sun Feb 1 21:24:31 2026
- Sun Feb 1 21:24:31 2026
- Sun Feb 1 21:24:31 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Sun Feb 1 21:24:31 2026 random seeds: 5fcfcdb7 e66dee7c
- Sun Feb 1 21:24:31 2026 Using 8 OpenMP threads
- Sun Feb 1 21:24:31 2026 factoring 88622506861909447942723037443306461008644214393037725655617342213582482996799871686557025592296245968916429109363518047683773470254961447965602297381003250609640289862083775061277388808258275355743 (197 digits)
- Sun Feb 1 21:24:32 2026 searching for 15-digit factors
- Sun Feb 1 21:24:32 2026 commencing number field sieve (197-digit input)
- Sun Feb 1 21:24:32 2026 R0: 140895315055911497902794870192923710261
- Sun Feb 1 21:24:32 2026 R1: -1
- Sun Feb 1 21:24:32 2026 A0: 1
- Sun Feb 1 21:24:32 2026 A1: 1
- Sun Feb 1 21:24:32 2026 A2: 1
- Sun Feb 1 21:24:32 2026 A3: 1
- Sun Feb 1 21:24:32 2026 A4: 1
- Sun Feb 1 21:24:32 2026 A5: 1
- Sun Feb 1 21:24:32 2026 A6: 1
- Sun Feb 1 21:24:32 2026 skew 1.35, size 2.450e-11, alpha 2.428, combined = 1.230e-12 rroots = 0
- Sun Feb 1 21:24:32 2026
- Sun Feb 1 21:24:32 2026 commencing relation filtering
- Sun Feb 1 21:24:32 2026 estimated available RAM is 78540.1 MB
- Sun Feb 1 21:24:32 2026 commencing duplicate removal, pass 1
- Sun Feb 1 21:24:55 2026 error -1 reading relation 9003880
- Sun Feb 1 21:25:18 2026 error -1 reading relation 19082710
- Sun Feb 1 21:25:37 2026 error -1 reading relation 26845753
- Sun Feb 1 21:27:08 2026 error -1 reading relation 65922647
- Sun Feb 1 21:27:28 2026 error -1 reading relation 73080473
- Sun Feb 1 21:27:29 2026 error -1 reading relation 73890389
- Sun Feb 1 21:28:12 2026 skipped 4 relations with b > 2^32
- Sun Feb 1 21:28:12 2026 skipped 114 malformed relations
- Sun Feb 1 21:28:12 2026 found 16699223 hash collisions in 92700355 relations
- Sun Feb 1 21:28:17 2026 added 2438534 free relations
- Sun Feb 1 21:28:17 2026 commencing duplicate removal, pass 2
- Sun Feb 1 21:29:03 2026 found 16220641 duplicates and 78918248 unique relations
- Sun Feb 1 21:29:03 2026 memory use: 426.4 MB
- Sun Feb 1 21:29:03 2026 reading ideals above 720000
- Sun Feb 1 21:29:03 2026 commencing singleton removal, initial pass
- Sun Feb 1 21:35:43 2026 memory use: 1506.0 MB
- Sun Feb 1 21:35:43 2026 reading all ideals from disk
- Sun Feb 1 21:35:46 2026 memory use: 3549.9 MB
- Sun Feb 1 21:35:53 2026 keeping 80708112 ideals with weight <= 200, target excess is 402403
- Sun Feb 1 21:36:01 2026 commencing in-memory singleton removal
- Sun Feb 1 21:36:02 2026 begin with 78918248 relations and 80708112 unique ideals
- Sun Feb 1 21:36:16 2026 reduce to 39696791 relations and 36243739 ideals in 15 passes
- Sun Feb 1 21:36:16 2026 max relations containing the same ideal: 131
- Sun Feb 1 21:36:35 2026 removing 3372309 relations and 2972309 ideals in 400000 cliques
- Sun Feb 1 21:36:36 2026 commencing in-memory singleton removal
- Sun Feb 1 21:36:37 2026 begin with 36324482 relations and 36243739 unique ideals
- Sun Feb 1 21:36:43 2026 reduce to 36037770 relations and 32980328 ideals in 10 passes
- Sun Feb 1 21:36:43 2026 max relations containing the same ideal: 121
- Sun Feb 1 21:37:01 2026 removing 2521422 relations and 2121422 ideals in 400000 cliques
- Sun Feb 1 21:37:02 2026 commencing in-memory singleton removal
- Sun Feb 1 21:37:02 2026 begin with 33516348 relations and 32980328 unique ideals
- Sun Feb 1 21:37:07 2026 reduce to 33347515 relations and 30687950 ideals in 9 passes
- Sun Feb 1 21:37:07 2026 max relations containing the same ideal: 115
- Sun Feb 1 21:37:23 2026 removing 2258324 relations and 1858324 ideals in 400000 cliques
- Sun Feb 1 21:37:24 2026 commencing in-memory singleton removal
- Sun Feb 1 21:37:24 2026 begin with 31089191 relations and 30687950 unique ideals
- Sun Feb 1 21:37:29 2026 reduce to 30946941 relations and 28685645 ideals in 9 passes
- Sun Feb 1 21:37:29 2026 max relations containing the same ideal: 110
- Sun Feb 1 21:37:43 2026 removing 2118973 relations and 1718973 ideals in 400000 cliques
- Sun Feb 1 21:37:44 2026 commencing in-memory singleton removal
- Sun Feb 1 21:37:44 2026 begin with 28827968 relations and 28685645 unique ideals
- Sun Feb 1 21:37:48 2026 reduce to 28697279 relations and 26834285 ideals in 8 passes
- Sun Feb 1 21:37:48 2026 max relations containing the same ideal: 106
- Sun Feb 1 21:38:01 2026 removing 2037898 relations and 1637898 ideals in 400000 cliques
- Sun Feb 1 21:38:02 2026 commencing in-memory singleton removal
- Sun Feb 1 21:38:02 2026 begin with 26659381 relations and 26834285 unique ideals
- Sun Feb 1 21:38:06 2026 reduce to 26532149 relations and 25067522 ideals in 8 passes
- Sun Feb 1 21:38:06 2026 max relations containing the same ideal: 98
- Sun Feb 1 21:38:19 2026 removing 1983177 relations and 1583177 ideals in 400000 cliques
- Sun Feb 1 21:38:19 2026 commencing in-memory singleton removal
- Sun Feb 1 21:38:20 2026 begin with 24548972 relations and 25067522 unique ideals
- Sun Feb 1 21:38:23 2026 reduce to 24420145 relations and 23353761 ideals in 8 passes
- Sun Feb 1 21:38:23 2026 max relations containing the same ideal: 95
- Sun Feb 1 21:38:35 2026 removing 1948782 relations and 1548782 ideals in 400000 cliques
- Sun Feb 1 21:38:36 2026 commencing in-memory singleton removal
- Sun Feb 1 21:38:36 2026 begin with 22471363 relations and 23353761 unique ideals
- Sun Feb 1 21:38:39 2026 reduce to 22336238 relations and 21667903 ideals in 8 passes
- Sun Feb 1 21:38:39 2026 max relations containing the same ideal: 90
- Sun Feb 1 21:38:50 2026 removing 1111244 relations and 909697 ideals in 201547 cliques
- Sun Feb 1 21:38:51 2026 commencing in-memory singleton removal
- Sun Feb 1 21:38:51 2026 begin with 21224994 relations and 21667903 unique ideals
- Sun Feb 1 21:38:54 2026 reduce to 21180151 relations and 20712998 ideals in 7 passes
- Sun Feb 1 21:38:54 2026 max relations containing the same ideal: 84
- Sun Feb 1 21:39:06 2026 relations with 0 large ideals: 28291
- Sun Feb 1 21:39:06 2026 relations with 1 large ideals: 4948
- Sun Feb 1 21:39:06 2026 relations with 2 large ideals: 63471
- Sun Feb 1 21:39:06 2026 relations with 3 large ideals: 446947
- Sun Feb 1 21:39:06 2026 relations with 4 large ideals: 1720106
- Sun Feb 1 21:39:06 2026 relations with 5 large ideals: 3934630
- Sun Feb 1 21:39:06 2026 relations with 6 large ideals: 5580764
- Sun Feb 1 21:39:06 2026 relations with 7+ large ideals: 9400994
- Sun Feb 1 21:39:06 2026 commencing 2-way merge
- Sun Feb 1 21:39:22 2026 reduce to 13167932 relation sets and 12700779 unique ideals
- Sun Feb 1 21:39:22 2026 commencing full merge
- Sun Feb 1 21:43:56 2026 memory use: 1762.4 MB
- Sun Feb 1 21:43:58 2026 found 6355105 cycles, need 6310979
- Sun Feb 1 21:43:59 2026 weight of 6310979 cycles is about 568229379 (90.04/cycle)
- Sun Feb 1 21:43:59 2026 distribution of cycle lengths:
- Sun Feb 1 21:43:59 2026 1 relations: 631707
- Sun Feb 1 21:43:59 2026 2 relations: 613471
- Sun Feb 1 21:43:59 2026 3 relations: 578327
- Sun Feb 1 21:43:59 2026 4 relations: 531241
- Sun Feb 1 21:43:59 2026 5 relations: 494736
- Sun Feb 1 21:43:59 2026 6 relations: 451919
- Sun Feb 1 21:43:59 2026 7 relations: 414622
- Sun Feb 1 21:43:59 2026 8 relations: 377406
- Sun Feb 1 21:43:59 2026 9 relations: 339246
- Sun Feb 1 21:43:59 2026 10+ relations: 1878304
- Sun Feb 1 21:43:59 2026 heaviest cycle: 28 relations
- Sun Feb 1 21:44:01 2026 commencing cycle optimization
- Sun Feb 1 21:44:11 2026 start with 46055133 relations
- Sun Feb 1 21:45:30 2026 pruned 1424700 relations
- Sun Feb 1 21:45:31 2026 memory use: 1341.2 MB
- Sun Feb 1 21:45:31 2026 distribution of cycle lengths:
- Sun Feb 1 21:45:31 2026 1 relations: 631707
- Sun Feb 1 21:45:31 2026 2 relations: 624401
- Sun Feb 1 21:45:31 2026 3 relations: 597630
- Sun Feb 1 21:45:31 2026 4 relations: 546075
- Sun Feb 1 21:45:31 2026 5 relations: 510935
- Sun Feb 1 21:45:31 2026 6 relations: 464130
- Sun Feb 1 21:45:31 2026 7 relations: 425376
- Sun Feb 1 21:45:31 2026 8 relations: 384586
- Sun Feb 1 21:45:31 2026 9 relations: 345491
- Sun Feb 1 21:45:31 2026 10+ relations: 1780648
- Sun Feb 1 21:45:31 2026 heaviest cycle: 28 relations
- Sun Feb 1 21:45:41 2026 RelProcTime: 1269
- Sun Feb 1 21:45:41 2026
- Sun Feb 1 21:45:41 2026 commencing linear algebra
- Sun Feb 1 21:45:41 2026 using VBITS=256
- Sun Feb 1 21:45:41 2026 read 6310979 cycles
- Sun Feb 1 21:45:49 2026 cycles contain 20859543 unique relations
- Sun Feb 1 21:46:09 2026 read 20859543 relations
- Sun Feb 1 21:46:15 2026 using 20 quadratic characters above 4294917295
- Sun Feb 1 21:46:23 2026 building initial matrix
- Sun Feb 1 21:49:44 2026 memory use: 2534.5 MB
- Sun Feb 1 21:49:46 2026 read 6310979 cycles
- Sun Feb 1 21:49:46 2026 matrix is 6310801 x 6310979 (2333.6 MB) with weight 666157467 (105.56/col)
- Sun Feb 1 21:49:46 2026 sparse part has weight 542322517 (85.93/col)
- Sun Feb 1 21:50:27 2026 filtering completed in 2 passes
- Sun Feb 1 21:50:29 2026 matrix is 6309415 x 6309580 (2333.5 MB) with weight 666114311 (105.57/col)
- Sun Feb 1 21:50:29 2026 sparse part has weight 542306946 (85.95/col)
- Sun Feb 1 21:50:40 2026 matrix starts at (0, 0)
- Sun Feb 1 21:50:40 2026 matrix is 6309415 x 6309580 (2333.5 MB) with weight 666114311 (105.57/col)
- Sun Feb 1 21:50:40 2026 sparse part has weight 542306946 (85.95/col)
- Sun Feb 1 21:50:40 2026 saving the first 240 matrix rows for later
- Sun Feb 1 21:50:41 2026 matrix includes 256 packed rows
- Sun Feb 1 21:50:42 2026 matrix is 6309175 x 6309580 (2166.6 MB) with weight 493215944 (78.17/col)
- Sun Feb 1 21:50:42 2026 sparse part has weight 467018558 (74.02/col)
- Sun Feb 1 21:50:42 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
- Sun Feb 1 21:50:42 2026 selected card has CUDA arch 12.0
- Sun Feb 1 21:51:08 2026 commencing Lanczos iteration
- Sun Feb 1 21:51:10 2026 memory use: 5151.6 MB
- Sun Feb 1 21:51:44 2026 linear algebra at 0.5%, ETA 1h56m
- Sun Feb 1 21:52:34 2026 checking every 50000 dimensions, checkpointing every 3300000 dimensions
- Sun Feb 1 23:09:29 2026 lanczos halted after 24721 iterations (dim = 6309173)
- Sun Feb 1 23:09:51 2026 recovered 38 nontrivial dependencies
- Sun Feb 1 23:09:52 2026 BLanczosTime: 5051
- Sun Feb 1 23:09:52 2026
- Sun Feb 1 23:09:52 2026 commencing square root phase
- Sun Feb 1 23:09:52 2026 reading relations for dependency 1
- Sun Feb 1 23:10:08 2026 read 3154367 cycles
- Sun Feb 1 23:10:12 2026 cycles contain 10426916 unique relations
- Sun Feb 1 23:11:19 2026 read 10426916 relations
- Sun Feb 1 23:11:49 2026 multiplying 10426916 relations
- Sun Feb 1 23:12:18 2026 multiply complete, coefficients have about 253.50 million bits
- Sun Feb 1 23:12:19 2026 initial square root is modulo 1250821577
- Sun Feb 1 23:13:08 2026 sqrtTime: 196
- Sun Feb 1 23:13:08 2026 p59 factor: 47055809215568696787969277213468447948578199666428127502291
- Sun Feb 1 23:13:08 2026 p139 factor: 1883348907165072402178915802730588144058168994731130613520372189570535820362737681938065355145054881612594473698043057219752426145082373573
- Sun Feb 1 23:13:08 2026 elapsed time 01:48:37
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