Wed Jun 10 08:40:41 2026 Wed Jun 10 08:40:41 2026 Wed Jun 10 08:40:41 2026 Msieve v. 1.54 (SVN unknown) Wed Jun 10 08:40:41 2026 random seeds: b48c3f3c 9592c0d2 Wed Jun 10 08:40:41 2026 Using 8 OpenMP threads Wed Jun 10 08:40:41 2026 factoring 233970599271566287989867723933021715702165950543992533083726350727628607356839284050725406275094124742933135299684954615380780535297701481957867209150021325147708065811 (168 digits) Wed Jun 10 08:40:41 2026 no P-1/P+1/ECM available, skipping Wed Jun 10 08:40:41 2026 commencing number field sieve (168-digit input) Wed Jun 10 08:40:41 2026 R0: -541185393786751509169986649094800 Wed Jun 10 08:40:41 2026 R1: 494483993088431938031 Wed Jun 10 08:40:41 2026 A0: 6692235633223573344315695889381701469145 Wed Jun 10 08:40:41 2026 A1: 2120265602520935196410156757593632 Wed Jun 10 08:40:41 2026 A2: -516892563237087439128811993 Wed Jun 10 08:40:41 2026 A3: -63160984809094743484 Wed Jun 10 08:40:41 2026 A4: 238436107380 Wed Jun 10 08:40:41 2026 A5: 226800 Wed Jun 10 08:40:41 2026 skew 10506967.16, size 3.309e-16, alpha -7.989, combined = 6.177e-13 rroots = 3 Wed Jun 10 08:40:41 2026 Wed Jun 10 08:40:41 2026 commencing relation filtering Wed Jun 10 08:40:41 2026 setting target matrix density to 100.0 Wed Jun 10 08:40:41 2026 estimated available RAM is 78540.1 MB Wed Jun 10 08:40:41 2026 commencing duplicate removal, pass 1 Wed Jun 10 08:41:21 2026 error -1 reading relation 13010958 Wed Jun 10 08:43:39 2026 error -1 reading relation 55582500 Wed Jun 10 08:45:17 2026 error -1 reading relation 87277034 Wed Jun 10 08:45:22 2026 error -1 reading relation 88993616 Wed Jun 10 08:46:04 2026 error -1 reading relation 102889359 Wed Jun 10 08:46:26 2026 error -1 reading relation 109631811 Wed Jun 10 08:46:26 2026 error -1 reading relation 109638814 Wed Jun 10 08:47:04 2026 error -1 reading relation 121963131 Wed Jun 10 08:47:49 2026 error -1 reading relation 137559922 Wed Jun 10 08:48:12 2026 error -1 reading relation 145000433 Wed Jun 10 08:48:15 2026 error -1 reading relation 146027560 Wed Jun 10 08:48:17 2026 error -1 reading relation 146629442 Wed Jun 10 08:48:18 2026 error -1 reading relation 146775389 Wed Jun 10 08:48:28 2026 skipped 1 relations with b > 2^32 Wed Jun 10 08:48:28 2026 skipped 1 relations with composite factors Wed Jun 10 08:48:28 2026 skipped 86 malformed relations Wed Jun 10 08:48:28 2026 found 26779081 hash collisions in 150284543 relations Wed Jun 10 08:48:44 2026 added 121256 free relations Wed Jun 10 08:48:44 2026 commencing duplicate removal, pass 2 Wed Jun 10 08:50:18 2026 found 27319086 duplicates and 123086713 unique relations Wed Jun 10 08:50:18 2026 memory use: 852.8 MB Wed Jun 10 08:50:18 2026 reading ideals above 720000 Wed Jun 10 08:50:19 2026 commencing singleton removal, initial pass Wed Jun 10 09:03:52 2026 memory use: 3012.0 MB Wed Jun 10 09:03:53 2026 reading all ideals from disk Wed Jun 10 09:03:57 2026 memory use: 5642.3 MB Wed Jun 10 09:04:13 2026 keeping 123862373 ideals with weight <= 200, target excess is 615305 Wed Jun 10 09:04:28 2026 commencing in-memory singleton removal Wed Jun 10 09:04:30 2026 begin with 123086713 relations and 123862373 unique ideals Wed Jun 10 09:04:57 2026 reduce to 66052703 relations and 59816987 ideals in 16 passes Wed Jun 10 09:04:57 2026 max relations containing the same ideal: 138 Wed Jun 10 09:05:33 2026 removing 7146025 relations and 6146025 ideals in 1000000 cliques Wed Jun 10 09:05:35 2026 commencing in-memory singleton removal Wed Jun 10 09:05:36 2026 begin with 58906678 relations and 59816987 unique ideals Wed Jun 10 09:05:47 2026 reduce to 58241047 relations and 52991803 ideals in 10 passes Wed Jun 10 09:05:47 2026 max relations containing the same ideal: 128 Wed Jun 10 09:06:25 2026 removing 5486281 relations and 4486281 ideals in 1000000 cliques Wed Jun 10 09:06:27 2026 commencing in-memory singleton removal Wed Jun 10 09:06:29 2026 begin with 52754766 relations and 52991803 unique ideals Wed Jun 10 09:06:40 2026 reduce to 52297174 relations and 48039567 ideals in 11 passes Wed Jun 10 09:06:40 2026 max relations containing the same ideal: 119 Wed Jun 10 09:07:11 2026 removing 4995421 relations and 3995421 ideals in 1000000 cliques Wed Jun 10 09:07:13 2026 commencing in-memory singleton removal Wed Jun 10 09:07:14 2026 begin with 47301753 relations and 48039567 unique ideals Wed Jun 10 09:07:22 2026 reduce to 46875860 relations and 43610273 ideals in 8 passes Wed Jun 10 09:07:22 2026 max relations containing the same ideal: 111 Wed Jun 10 09:07:48 2026 removing 4769124 relations and 3769124 ideals in 1000000 cliques Wed Jun 10 09:07:50 2026 commencing in-memory singleton removal Wed Jun 10 09:07:51 2026 begin with 42106736 relations and 43610273 unique ideals Wed Jun 10 09:07:59 2026 reduce to 41673956 relations and 39399840 ideals in 10 passes Wed Jun 10 09:07:59 2026 max relations containing the same ideal: 104 Wed Jun 10 09:08:22 2026 removing 4657345 relations and 3657345 ideals in 1000000 cliques Wed Jun 10 09:08:24 2026 commencing in-memory singleton removal Wed Jun 10 09:08:25 2026 begin with 37016611 relations and 39399840 unique ideals Wed Jun 10 09:08:31 2026 reduce to 36552610 relations and 35268207 ideals in 9 passes Wed Jun 10 09:08:31 2026 max relations containing the same ideal: 93 Wed Jun 10 09:08:52 2026 removing 2982803 relations and 2412154 ideals in 570649 cliques Wed Jun 10 09:08:53 2026 commencing in-memory singleton removal Wed Jun 10 09:08:54 2026 begin with 33569807 relations and 35268207 unique ideals Wed Jun 10 09:09:01 2026 reduce to 33367775 relations and 32651150 ideals in 11 passes Wed Jun 10 09:09:01 2026 max relations containing the same ideal: 85 Wed Jun 10 09:09:23 2026 relations with 0 large ideals: 2383 Wed Jun 10 09:09:23 2026 relations with 1 large ideals: 8372 Wed Jun 10 09:09:23 2026 relations with 2 large ideals: 134134 Wed Jun 10 09:09:23 2026 relations with 3 large ideals: 902220 Wed Jun 10 09:09:23 2026 relations with 4 large ideals: 3278905 Wed Jun 10 09:09:23 2026 relations with 5 large ideals: 7074869 Wed Jun 10 09:09:23 2026 relations with 6 large ideals: 9401090 Wed Jun 10 09:09:23 2026 relations with 7+ large ideals: 12565802 Wed Jun 10 09:09:23 2026 commencing 2-way merge Wed Jun 10 09:09:50 2026 reduce to 20520958 relation sets and 19804333 unique ideals Wed Jun 10 09:09:50 2026 commencing full merge Wed Jun 10 09:18:28 2026 memory use: 2422.9 MB Wed Jun 10 09:18:33 2026 found 9601882 cycles, need 9534533 Wed Jun 10 09:18:35 2026 weight of 9534533 cycles is about 954068227 (100.06/cycle) Wed Jun 10 09:18:35 2026 distribution of cycle lengths: Wed Jun 10 09:18:35 2026 1 relations: 916674 Wed Jun 10 09:18:35 2026 2 relations: 884417 Wed Jun 10 09:18:35 2026 3 relations: 861460 Wed Jun 10 09:18:35 2026 4 relations: 802901 Wed Jun 10 09:18:35 2026 5 relations: 759762 Wed Jun 10 09:18:35 2026 6 relations: 693583 Wed Jun 10 09:18:35 2026 7 relations: 649102 Wed Jun 10 09:18:35 2026 8 relations: 587174 Wed Jun 10 09:18:35 2026 9 relations: 530921 Wed Jun 10 09:18:35 2026 10+ relations: 2848539 Wed Jun 10 09:18:35 2026 heaviest cycle: 27 relations Wed Jun 10 09:18:38 2026 commencing cycle optimization Wed Jun 10 09:18:59 2026 start with 69877159 relations Wed Jun 10 09:21:24 2026 pruned 2294118 relations Wed Jun 10 09:21:25 2026 memory use: 2075.2 MB Wed Jun 10 09:21:25 2026 distribution of cycle lengths: Wed Jun 10 09:21:25 2026 1 relations: 916674 Wed Jun 10 09:21:25 2026 2 relations: 906364 Wed Jun 10 09:21:25 2026 3 relations: 894731 Wed Jun 10 09:21:25 2026 4 relations: 828021 Wed Jun 10 09:21:25 2026 5 relations: 785454 Wed Jun 10 09:21:25 2026 6 relations: 713211 Wed Jun 10 09:21:25 2026 7 relations: 665854 Wed Jun 10 09:21:25 2026 8 relations: 599141 Wed Jun 10 09:21:25 2026 9 relations: 540961 Wed Jun 10 09:21:25 2026 10+ relations: 2684122 Wed Jun 10 09:21:25 2026 heaviest cycle: 27 relations Wed Jun 10 09:21:42 2026 RelProcTime: 2461 Wed Jun 10 09:21:42 2026 Wed Jun 10 09:21:42 2026 commencing linear algebra Wed Jun 10 09:21:42 2026 using VBITS=64 Wed Jun 10 09:21:42 2026 stopping after matrix build Wed Jun 10 09:21:43 2026 read 9534533 cycles Wed Jun 10 09:21:56 2026 cycles contain 32803075 unique relations Wed Jun 10 09:22:17 2026 read 32803075 relations Wed Jun 10 09:22:27 2026 using 20 quadratic characters above 4294917295 Wed Jun 10 09:22:39 2026 building initial matrix Wed Jun 10 09:28:14 2026 memory use: 4349.2 MB Wed Jun 10 09:28:19 2026 read 9534533 cycles Wed Jun 10 09:28:20 2026 matrix is 9534355 x 9534533 (3845.0 MB) with weight 1172122113 (122.93/col) Wed Jun 10 09:28:20 2026 sparse part has weight 903062744 (94.71/col) Wed Jun 10 09:29:23 2026 filtering completed in 2 passes Wed Jun 10 09:29:25 2026 matrix is 9532169 x 9532347 (3844.8 MB) with weight 1172027328 (122.95/col) Wed Jun 10 09:29:25 2026 sparse part has weight 903034081 (94.73/col) Wed Jun 10 09:29:45 2026 BLanczosTime: 483 Wed Jun 10 09:29:45 2026 elapsed time 00:49:04Wed Jun 10 10:04:06 2026 Wed Jun 10 10:04:06 2026 Wed Jun 10 10:04:06 2026 Msieve v. 1.54 (SVN unknown) Wed Jun 10 10:04:06 2026 random seeds: 1b07b066 8c14e1b9 Wed Jun 10 10:04:06 2026 Using 8 OpenMP threads Wed Jun 10 10:04:06 2026 factoring 233970599271566287989867723933021715702165950543992533083726350727628607356839284050725406275094124742933135299684954615380780535297701481957867209150021325147708065811 (168 digits) Wed Jun 10 10:04:06 2026 no P-1/P+1/ECM available, skipping Wed Jun 10 10:04:06 2026 commencing number field sieve (168-digit input) Wed Jun 10 10:04:06 2026 R0: -541185393786751509169986649094800 Wed Jun 10 10:04:06 2026 R1: 494483993088431938031 Wed Jun 10 10:04:06 2026 A0: 6692235633223573344315695889381701469145 Wed Jun 10 10:04:06 2026 A1: 2120265602520935196410156757593632 Wed Jun 10 10:04:06 2026 A2: -516892563237087439128811993 Wed Jun 10 10:04:06 2026 A3: -63160984809094743484 Wed Jun 10 10:04:06 2026 A4: 238436107380 Wed Jun 10 10:04:06 2026 A5: 226800 Wed Jun 10 10:04:06 2026 skew 10506967.16, size 3.309e-16, alpha -7.989, combined = 6.177e-13 rroots = 3 Wed Jun 10 10:04:06 2026 Wed Jun 10 10:04:06 2026 commencing linear algebra Wed Jun 10 10:04:06 2026 using VBITS=64 Wed Jun 10 10:04:06 2026 skipping matrix build Wed Jun 10 10:04:12 2026 matrix starts at (0, 0) Wed Jun 10 10:04:13 2026 matrix is 9532169 x 9532347 (3844.8 MB) with weight 1172027328 (122.95/col) Wed Jun 10 10:04:13 2026 sparse part has weight 903034081 (94.73/col) Wed Jun 10 10:04:13 2026 saving the first 48 matrix rows for later Wed Jun 10 10:04:14 2026 matrix includes 64 packed rows Wed Jun 10 10:04:15 2026 matrix is 9532121 x 9532347 (3737.3 MB) with weight 984574846 (103.29/col) Wed Jun 10 10:04:15 2026 sparse part has weight 884392561 (92.78/col) Wed Jun 10 10:04:15 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Wed Jun 10 10:04:15 2026 selected card has CUDA arch 12.0 Wed Jun 10 10:04:56 2026 commencing Lanczos iteration Wed Jun 10 10:04:56 2026 memory use: 7620.1 MB Wed Jun 10 10:05:11 2026 checking every 70000 dimensions, checkpointing every 4620000 dimensions Wed Jun 10 10:05:19 2026 linear algebra at 0.3%, ETA 1h59m Wed Jun 10 12:03:11 2026 lanczos halted after 150742 iterations (dim = 9532120) Wed Jun 10 12:03:21 2026 recovered 28 nontrivial dependencies Wed Jun 10 12:03:22 2026 BLanczosTime: 7156 Wed Jun 10 12:03:22 2026 Wed Jun 10 12:03:22 2026 commencing square root phase Wed Jun 10 12:03:22 2026 handling dependencies 1 to 64 Wed Jun 10 12:03:22 2026 reading relations for dependency 1 Wed Jun 10 12:03:37 2026 read 4767859 cycles Wed Jun 10 12:03:49 2026 cycles contain 16404916 unique relations Wed Jun 10 12:06:52 2026 read 16404916 relations Wed Jun 10 12:08:07 2026 multiplying 16404916 relations Wed Jun 10 12:10:20 2026 multiply complete, coefficients have about 890.88 million bits Wed Jun 10 12:10:23 2026 initial square root is modulo 98298821 Wed Jun 10 12:15:42 2026 sqrtTime: 740 Wed Jun 10 12:15:42 2026 p62 factor: 36403926557233728093472697163123906693615701261037754042627763 Wed Jun 10 12:15:42 2026 p106 factor: 6427070412410625199134894711713503579803326645888849442250130474314470254906873404208183363283827317905697 Wed Jun 10 12:15:42 2026 elapsed time 02:11:36