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- Tue Aug 11 23:01:03 2026
- Tue Aug 11 23:01:03 2026
- Tue Aug 11 23:01:03 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Aug 11 23:01:03 2026 random seeds: 1f6a4329 149ff802
- Tue Aug 11 23:01:03 2026 MPI process 0 of 1
- Tue Aug 11 23:01:03 2026 Using 32 OpenMP threads
- Tue Aug 11 23:01:03 2026 factoring 12279117017234498323309352341815889665967565148807414672559457016268297974739112288135232355235409681122604586556220284335065527736908991008725308304157588640367912047759813259 (176 digits)
- Tue Aug 11 23:01:04 2026 searching for 15-digit factors
- Tue Aug 11 23:01:05 2026 commencing number field sieve (176-digit input)
- Tue Aug 11 23:01:05 2026 R0: -2401741778974099321685821930393799
- Tue Aug 11 23:01:05 2026 R1: 1193041553636831131762725677
- Tue Aug 11 23:01:05 2026 A0: 4338305900158302925873602394444432807500
- Tue Aug 11 23:01:05 2026 A1: -14377301156105373916671732737129060
- Tue Aug 11 23:01:05 2026 A2: -7174797420278791892816809659
- Tue Aug 11 23:01:05 2026 A3: 8242491388753326775697
- Tue Aug 11 23:01:05 2026 A4: 975947842258842
- Tue Aug 11 23:01:05 2026 A5: 26860680
- Tue Aug 11 23:01:05 2026 skew 2298327.44, size 5.067e-17, alpha -8.040, combined = 1.905e-13 rroots = 5
- Tue Aug 11 23:01:05 2026
- Tue Aug 11 23:01:05 2026 commencing relation filtering
- Tue Aug 11 23:01:05 2026 setting target matrix density to 130.0
- Tue Aug 11 23:01:05 2026 estimated available RAM is 257736.5 MB
- Tue Aug 11 23:01:05 2026 commencing duplicate removal, pass 1
- Tue Aug 11 23:01:19 2026 error -15 reading relation 5309558
- Tue Aug 11 23:02:23 2026 error -1 reading relation 27795144
- Tue Aug 11 23:03:41 2026 error -1 reading relation 55441230
- Tue Aug 11 23:04:37 2026 error -1 reading relation 75678096
- Tue Aug 11 23:06:08 2026 error -1 reading relation 106263289
- Tue Aug 11 23:08:47 2026 error -1 reading relation 162069410
- Tue Aug 11 23:12:07 2026 error -1 reading relation 236747764
- Tue Aug 11 23:12:32 2026 error -1 reading relation 246823147
- Tue Aug 11 23:14:47 2026 error -1 reading relation 294562949
- Tue Aug 11 23:14:54 2026 error -1 reading relation 297117105
- Tue Aug 11 23:15:03 2026 error -1 reading relation 300797085
- Tue Aug 11 23:15:43 2026 skipped 121 malformed relations
- Tue Aug 11 23:15:43 2026 found 55240819 hash collisions in 315550585 relations
- Tue Aug 11 23:16:24 2026 added 121698 free relations
- Tue Aug 11 23:16:24 2026 commencing duplicate removal, pass 2
- Tue Aug 11 23:28:00 2026 found 55557447 duplicates and 260114836 unique relations
- Tue Aug 11 23:28:00 2026 memory use: 1705.5 MB
- Tue Aug 11 23:28:00 2026 reading ideals above 720000
- Tue Aug 11 23:28:00 2026 commencing singleton removal, initial pass
- Wed Aug 12 00:18:09 2026 memory use: 6024.0 MB
- Wed Aug 12 00:18:11 2026 reading all ideals from disk
- Wed Aug 12 00:18:21 2026 memory use: 12400.9 MB
- Wed Aug 12 00:20:34 2026 keeping 243029273 ideals with weight <= 200, target excess is 1353508
- Wed Aug 12 00:22:58 2026 commencing in-memory singleton removal
- Wed Aug 12 00:23:05 2026 begin with 260114836 relations and 243029273 unique ideals
- Wed Aug 12 00:23:39 2026 reduce to 157321165 relations and 129093170 ideals in 15 passes
- Wed Aug 12 00:23:39 2026 max relations containing the same ideal: 155
- Wed Aug 12 00:26:08 2026 removing 12062951 relations and 10062951 ideals in 2000000 cliques
- Wed Aug 12 00:26:17 2026 commencing in-memory singleton removal
- Wed Aug 12 00:26:22 2026 begin with 145258214 relations and 129093170 unique ideals
- Wed Aug 12 00:26:34 2026 reduce to 144543056 relations and 118303191 ideals in 9 passes
- Wed Aug 12 00:26:34 2026 max relations containing the same ideal: 143
- Wed Aug 12 00:29:32 2026 removing 9201887 relations and 7201887 ideals in 2000000 cliques
- Wed Aug 12 00:29:44 2026 commencing in-memory singleton removal
- Wed Aug 12 00:29:49 2026 begin with 135341169 relations and 118303191 unique ideals
- Wed Aug 12 00:30:00 2026 reduce to 134864395 relations and 110617807 ideals in 7 passes
- Wed Aug 12 00:30:00 2026 max relations containing the same ideal: 136
- Wed Aug 12 00:32:55 2026 removing 8333359 relations and 6333359 ideals in 2000000 cliques
- Wed Aug 12 00:33:05 2026 commencing in-memory singleton removal
- Wed Aug 12 00:33:10 2026 begin with 126531036 relations and 110617807 unique ideals
- Wed Aug 12 00:33:21 2026 reduce to 126105317 relations and 103852612 ideals in 8 passes
- Wed Aug 12 00:33:21 2026 max relations containing the same ideal: 133
- Wed Aug 12 00:35:40 2026 removing 7888614 relations and 5888614 ideals in 2000000 cliques
- Wed Aug 12 00:35:50 2026 commencing in-memory singleton removal
- Wed Aug 12 00:35:54 2026 begin with 118216703 relations and 103852612 unique ideals
- Wed Aug 12 00:36:02 2026 reduce to 117811254 relations and 97552699 ideals in 7 passes
- Wed Aug 12 00:36:02 2026 max relations containing the same ideal: 124
- Wed Aug 12 00:38:35 2026 removing 7622270 relations and 5622270 ideals in 2000000 cliques
- Wed Aug 12 00:38:47 2026 commencing in-memory singleton removal
- Wed Aug 12 00:38:50 2026 begin with 110188984 relations and 97552699 unique ideals
- Wed Aug 12 00:38:58 2026 reduce to 109789245 relations and 91524442 ideals in 7 passes
- Wed Aug 12 00:38:58 2026 max relations containing the same ideal: 118
- Wed Aug 12 00:41:09 2026 removing 7452616 relations and 5452616 ideals in 2000000 cliques
- Wed Aug 12 00:41:17 2026 commencing in-memory singleton removal
- Wed Aug 12 00:41:20 2026 begin with 102336629 relations and 91524442 unique ideals
- Wed Aug 12 00:41:30 2026 reduce to 101927737 relations and 85656180 ideals in 9 passes
- Wed Aug 12 00:41:30 2026 max relations containing the same ideal: 112
- Wed Aug 12 00:43:10 2026 removing 7340413 relations and 5340413 ideals in 2000000 cliques
- Wed Aug 12 00:43:17 2026 commencing in-memory singleton removal
- Wed Aug 12 00:43:20 2026 begin with 94587324 relations and 85656180 unique ideals
- Wed Aug 12 00:43:27 2026 reduce to 94162374 relations and 79883556 ideals in 7 passes
- Wed Aug 12 00:43:27 2026 max relations containing the same ideal: 105
- Wed Aug 12 00:45:06 2026 removing 7282089 relations and 5282089 ideals in 2000000 cliques
- Wed Aug 12 00:45:15 2026 commencing in-memory singleton removal
- Wed Aug 12 00:45:17 2026 begin with 86880285 relations and 79883556 unique ideals
- Wed Aug 12 00:45:24 2026 reduce to 86432857 relations and 74145801 ideals in 8 passes
- Wed Aug 12 00:45:24 2026 max relations containing the same ideal: 101
- Wed Aug 12 00:47:08 2026 removing 7260580 relations and 5260580 ideals in 2000000 cliques
- Wed Aug 12 00:47:15 2026 commencing in-memory singleton removal
- Wed Aug 12 00:47:18 2026 begin with 79172277 relations and 74145801 unique ideals
- Wed Aug 12 00:47:24 2026 reduce to 78688883 relations and 68391975 ideals in 8 passes
- Wed Aug 12 00:47:24 2026 max relations containing the same ideal: 95
- Wed Aug 12 00:49:00 2026 removing 7278399 relations and 5278399 ideals in 2000000 cliques
- Wed Aug 12 00:49:07 2026 commencing in-memory singleton removal
- Wed Aug 12 00:49:09 2026 begin with 71410484 relations and 68391975 unique ideals
- Wed Aug 12 00:49:14 2026 reduce to 70875155 relations and 62566460 ideals in 8 passes
- Wed Aug 12 00:49:14 2026 max relations containing the same ideal: 88
- Wed Aug 12 00:50:30 2026 removing 7332952 relations and 5332952 ideals in 2000000 cliques
- Wed Aug 12 00:50:36 2026 commencing in-memory singleton removal
- Wed Aug 12 00:50:38 2026 begin with 63542203 relations and 62566460 unique ideals
- Wed Aug 12 00:50:43 2026 reduce to 62933463 relations and 56610179 ideals in 8 passes
- Wed Aug 12 00:50:43 2026 max relations containing the same ideal: 81
- Wed Aug 12 00:51:47 2026 removing 7433369 relations and 5433369 ideals in 2000000 cliques
- Wed Aug 12 00:51:53 2026 commencing in-memory singleton removal
- Wed Aug 12 00:51:54 2026 begin with 55500094 relations and 56610179 unique ideals
- Wed Aug 12 00:51:59 2026 reduce to 54787986 relations and 50445279 ideals in 9 passes
- Wed Aug 12 00:51:59 2026 max relations containing the same ideal: 73
- Wed Aug 12 00:52:56 2026 removing 7592846 relations and 5592846 ideals in 2000000 cliques
- Wed Aug 12 00:53:01 2026 commencing in-memory singleton removal
- Wed Aug 12 00:53:02 2026 begin with 47195140 relations and 50445279 unique ideals
- Wed Aug 12 00:53:05 2026 reduce to 46315481 relations and 43945043 ideals in 8 passes
- Wed Aug 12 00:53:05 2026 max relations containing the same ideal: 69
- Wed Aug 12 00:53:58 2026 removing 3864032 relations and 3063664 ideals in 800368 cliques
- Wed Aug 12 00:54:02 2026 commencing in-memory singleton removal
- Wed Aug 12 00:54:03 2026 begin with 42451449 relations and 43945043 unique ideals
- Wed Aug 12 00:54:06 2026 reduce to 42203427 relations and 40629588 ideals in 8 passes
- Wed Aug 12 00:54:06 2026 max relations containing the same ideal: 66
- Wed Aug 12 00:54:59 2026 relations with 0 large ideals: 4844
- Wed Aug 12 00:54:59 2026 relations with 1 large ideals: 34520
- Wed Aug 12 00:54:59 2026 relations with 2 large ideals: 449463
- Wed Aug 12 00:54:59 2026 relations with 3 large ideals: 2406876
- Wed Aug 12 00:54:59 2026 relations with 4 large ideals: 6822316
- Wed Aug 12 00:54:59 2026 relations with 5 large ideals: 11271667
- Wed Aug 12 00:54:59 2026 relations with 6 large ideals: 11295338
- Wed Aug 12 00:54:59 2026 relations with 7+ large ideals: 9918403
- Wed Aug 12 00:54:59 2026 commencing 2-way merge
- Wed Aug 12 00:55:56 2026 reduce to 25597128 relation sets and 24023289 unique ideals
- Wed Aug 12 00:55:56 2026 commencing full merge
- Wed Aug 12 01:15:51 2026 memory use: 2821.0 MB
- Wed Aug 12 01:15:56 2026 found 10893898 cycles, need 10811489
- Wed Aug 12 01:15:59 2026 weight of 10811489 cycles is about 1405853449 (130.03/cycle)
- Wed Aug 12 01:15:59 2026 distribution of cycle lengths:
- Wed Aug 12 01:15:59 2026 1 relations: 731945
- Wed Aug 12 01:15:59 2026 2 relations: 659591
- Wed Aug 12 01:15:59 2026 3 relations: 684463
- Wed Aug 12 01:15:59 2026 4 relations: 689448
- Wed Aug 12 01:15:59 2026 5 relations: 700781
- Wed Aug 12 01:15:59 2026 6 relations: 697658
- Wed Aug 12 01:15:59 2026 7 relations: 700074
- Wed Aug 12 01:15:59 2026 8 relations: 673284
- Wed Aug 12 01:15:59 2026 9 relations: 647892
- Wed Aug 12 01:15:59 2026 10+ relations: 4626353
- Wed Aug 12 01:15:59 2026 heaviest cycle: 28 relations
- Wed Aug 12 01:16:02 2026 commencing cycle optimization
- Wed Aug 12 01:16:23 2026 start with 99051238 relations
- Wed Aug 12 01:22:24 2026 pruned 4222344 relations
- Wed Aug 12 01:22:24 2026 memory use: 2714.4 MB
- Wed Aug 12 01:22:24 2026 distribution of cycle lengths:
- Wed Aug 12 01:22:24 2026 1 relations: 731945
- Wed Aug 12 01:22:24 2026 2 relations: 676857
- Wed Aug 12 01:22:24 2026 3 relations: 711482
- Wed Aug 12 01:22:24 2026 4 relations: 715583
- Wed Aug 12 01:22:24 2026 5 relations: 733590
- Wed Aug 12 01:22:24 2026 6 relations: 729146
- Wed Aug 12 01:22:24 2026 7 relations: 733933
- Wed Aug 12 01:22:24 2026 8 relations: 705259
- Wed Aug 12 01:22:24 2026 9 relations: 678007
- Wed Aug 12 01:22:24 2026 10+ relations: 4395687
- Wed Aug 12 01:22:24 2026 heaviest cycle: 28 relations
- Wed Aug 12 01:23:04 2026 RelProcTime: 8519
- Wed Aug 12 01:23:04 2026
- Wed Aug 12 01:23:04 2026 commencing linear algebra
- Wed Aug 12 01:23:04 2026 using VBITS=256
- Wed Aug 12 01:23:04 2026 stopping after matrix build
- Wed Aug 12 01:23:04 2026 initialized process (0,0) of 1 x 1 grid
- Wed Aug 12 01:23:06 2026 read 10811489 cycles
- Wed Aug 12 01:23:48 2026 cycles contain 41155033 unique relations
- Wed Aug 12 01:29:13 2026 read 41155033 relations
- Wed Aug 12 01:29:19 2026 using 20 quadratic characters above 4294917295
- Wed Aug 12 01:29:25 2026 building initial matrix
- Wed Aug 12 01:43:26 2026 memory use: 5738.0 MB
- Wed Aug 12 01:43:40 2026 read 10811489 cycles
- Wed Aug 12 01:43:43 2026 matrix is 10811312 x 10811489 (5471.5 MB) with weight 1662477816 (153.77/col)
- Wed Aug 12 01:43:43 2026 sparse part has weight 1304592154 (120.67/col)
- Wed Aug 12 01:46:23 2026 filtering completed in 2 passes
- Wed Aug 12 01:46:25 2026 matrix is 10810474 x 10810650 (5471.4 MB) with weight 1662432938 (153.78/col)
- Wed Aug 12 01:46:25 2026 sparse part has weight 1304577024 (120.68/col)
- Wed Aug 12 01:47:31 2026 BLanczosTime: 1467
- Wed Aug 12 01:47:31 2026 elapsed time 02:46:28
- Wed Aug 12 10:01:44 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Wed Aug 12 10:01:44 2026 random seeds: 18a35b63 db798b18
- Wed Aug 12 10:01:44 2026 MPI process 0 of 1
- Wed Aug 12 10:01:44 2026 Using 64 OpenMP threads
- Wed Aug 12 10:01:44 2026 factoring 12279117017234498323309352341815889665967565148807414672559457016268297974739112288135232355235409681122604586556220284335065527736908991008725308304157588640367912047759813259 (176 digits)
- Wed Aug 12 10:01:45 2026 searching for 15-digit factors
- Wed Aug 12 10:01:45 2026 commencing number field sieve (176-digit input)
- Wed Aug 12 10:01:45 2026 R0: -2401741778974099321685821930393799
- Wed Aug 12 10:01:45 2026 R1: 1193041553636831131762725677
- Wed Aug 12 10:01:45 2026 A0: 4338305900158302925873602394444432807500
- Wed Aug 12 10:01:45 2026 A1: -14377301156105373916671732737129060
- Wed Aug 12 10:01:45 2026 A2: -7174797420278791892816809659
- Wed Aug 12 10:01:45 2026 A3: 8242491388753326775697
- Wed Aug 12 10:01:45 2026 A4: 975947842258842
- Wed Aug 12 10:01:45 2026 A5: 26860680
- Wed Aug 12 10:01:45 2026 skew 2298327.44, size 5.067e-17, alpha -8.040, combined = 1.905e-13 rroots = 5
- Wed Aug 12 10:01:45 2026
- Wed Aug 12 10:01:45 2026 commencing linear algebra
- Wed Aug 12 10:01:45 2026 using VBITS=256
- Wed Aug 12 10:01:45 2026 skipping matrix build
- Wed Aug 12 10:01:45 2026 initialized process (0,0) of 1 x 1 grid
- Wed Aug 12 10:01:50 2026 matrix starts at (0, 0)
- Wed Aug 12 10:01:52 2026 matrix is 10810474 x 10810650 (5471.4 MB) with weight 1662432938 (153.78/col)
- Wed Aug 12 10:01:52 2026 sparse part has weight 1304577024 (120.68/col)
- Wed Aug 12 10:01:52 2026 saving the first 240 matrix rows for later
- Wed Aug 12 10:01:54 2026 matrix includes 256 packed rows
- Wed Aug 12 10:01:57 2026 matrix is 10810234 x 10810650 (4967.9 MB) with weight 1198883076 (110.90/col)
- Wed Aug 12 10:01:57 2026 sparse part has weight 1129324034 (104.46/col)
- Wed Aug 12 10:01:57 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Wed Aug 12 10:02:21 2026 commencing Lanczos iteration (64 threads)
- Wed Aug 12 10:02:21 2026 memory use: 7002.3 MB
- Wed Aug 12 10:04:04 2026
- Wed Aug 12 10:04:04 2026
- Wed Aug 12 10:04:04 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Wed Aug 12 10:04:04 2026 random seeds: 10e1d728 cf1feb29
- Wed Aug 12 10:04:04 2026 MPI process 0 of 1
- Wed Aug 12 10:04:04 2026 Using 48 OpenMP threads
- Wed Aug 12 10:04:04 2026 factoring 12279117017234498323309352341815889665967565148807414672559457016268297974739112288135232355235409681122604586556220284335065527736908991008725308304157588640367912047759813259 (176 digits)
- Wed Aug 12 10:04:05 2026 searching for 15-digit factors
- Wed Aug 12 10:04:05 2026 commencing number field sieve (176-digit input)
- Wed Aug 12 10:04:05 2026 R0: -2401741778974099321685821930393799
- Wed Aug 12 10:04:05 2026 R1: 1193041553636831131762725677
- Wed Aug 12 10:04:05 2026 A0: 4338305900158302925873602394444432807500
- Wed Aug 12 10:04:05 2026 A1: -14377301156105373916671732737129060
- Wed Aug 12 10:04:05 2026 A2: -7174797420278791892816809659
- Wed Aug 12 10:04:05 2026 A3: 8242491388753326775697
- Wed Aug 12 10:04:05 2026 A4: 975947842258842
- Wed Aug 12 10:04:05 2026 A5: 26860680
- Wed Aug 12 10:04:05 2026 skew 2298327.44, size 5.067e-17, alpha -8.040, combined = 1.905e-13 rroots = 5
- Wed Aug 12 10:04:05 2026
- Wed Aug 12 10:04:05 2026 commencing linear algebra
- Wed Aug 12 10:04:05 2026 using VBITS=256
- Wed Aug 12 10:04:05 2026 skipping matrix build
- Wed Aug 12 10:04:05 2026 initialized process (0,0) of 1 x 1 grid
- Wed Aug 12 10:04:10 2026 matrix starts at (0, 0)
- Wed Aug 12 10:04:11 2026 matrix is 10810474 x 10810650 (5471.4 MB) with weight 1662432938 (153.78/col)
- Wed Aug 12 10:04:11 2026 sparse part has weight 1304577024 (120.68/col)
- Wed Aug 12 10:04:11 2026 saving the first 240 matrix rows for later
- Wed Aug 12 10:04:13 2026 matrix includes 256 packed rows
- Wed Aug 12 10:04:17 2026 matrix is 10810234 x 10810650 (4967.9 MB) with weight 1198883076 (110.90/col)
- Wed Aug 12 10:04:17 2026 sparse part has weight 1129324034 (104.46/col)
- Wed Aug 12 10:04:17 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Wed Aug 12 10:04:40 2026 commencing Lanczos iteration (48 threads)
- Wed Aug 12 10:04:40 2026 memory use: 7000.8 MB
- Wed Aug 12 10:06:34 2026 linear algebra at 0.3%, ETA 10h56m
- Wed Aug 12 10:09:23 2026 checking every 10000 dimensions, checkpointing every 990000 dimensions
- Wed Aug 12 21:06:09 2026 lanczos halted after 42355 iterations (dim = 10810234)
- Wed Aug 12 21:07:03 2026 recovered 28 nontrivial dependencies
- Wed Aug 12 21:07:05 2026 BLanczosTime: 39780
- Wed Aug 12 21:07:05 2026
- Wed Aug 12 21:07:05 2026 commencing square root phase
- Wed Aug 12 21:07:05 2026 handling dependencies 1 to 64
- Wed Aug 12 21:07:05 2026 reading relations for dependency 1
- Wed Aug 12 21:07:08 2026 read 5407338 cycles
- Wed Aug 12 21:07:48 2026 cycles contain 20585988 unique relations
- Wed Aug 12 21:15:13 2026 read 20585988 relations
- Wed Aug 12 21:20:42 2026 multiplying 20585988 relations
- Wed Aug 12 21:26:55 2026 multiply complete, coefficients have about 1299.38 million bits
- Wed Aug 12 21:27:03 2026 initial square root is modulo 674099
- Wed Aug 12 21:49:11 2026 GCD is 1, no factor found
- Wed Aug 12 21:49:11 2026 reading relations for dependency 2
- Wed Aug 12 21:49:14 2026 read 5405007 cycles
- Wed Aug 12 21:49:55 2026 cycles contain 20571676 unique relations
- Wed Aug 12 21:57:30 2026 read 20571676 relations
- Wed Aug 12 22:03:09 2026 multiplying 20571676 relations
- Wed Aug 12 22:09:06 2026 multiply complete, coefficients have about 1298.48 million bits
- Wed Aug 12 22:09:14 2026 initial square root is modulo 667781
- Wed Aug 12 22:31:16 2026 GCD is N, no factor found
- Wed Aug 12 22:31:16 2026 reading relations for dependency 3
- Wed Aug 12 22:31:19 2026 read 5403596 cycles
- Wed Aug 12 22:32:01 2026 cycles contain 20576658 unique relations
- Wed Aug 12 22:39:31 2026 read 20576658 relations
- Wed Aug 12 22:45:20 2026 multiplying 20576658 relations
- Wed Aug 12 22:51:18 2026 multiply complete, coefficients have about 1298.78 million bits
- Wed Aug 12 22:51:26 2026 initial square root is modulo 669901
- Wed Aug 12 23:13:36 2026 sqrtTime: 7591
- Wed Aug 12 23:13:36 2026 p76 factor: 2031963512958754283068981628167665620036879087155621433968720348695477345083
- Wed Aug 12 23:13:36 2026 p100 factor: 6042981056955497315272926848751316869925581982926636126954035864519032664454075463344334977973983473
- Wed Aug 12 23:13:36 2026 elapsed time 13:09:32
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