Wed May 14 15:40:40 2025 Wed May 14 15:40:40 2025 Wed May 14 15:40:40 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed May 14 15:40:40 2025 random seeds: ba37b97b 6c68bc52 Wed May 14 15:40:40 2025 MPI process 0 of 1 Wed May 14 15:40:40 2025 Using 64 OpenMP threads Wed May 14 15:40:40 2025 factoring 46554844086442850189079788690848634374223266605911030043767274008855429267981249885900010441583920942189845427929643171297752864051809457589999340286299945518661875888034738300838775937 (185 digits) Wed May 14 15:40:41 2025 no P-1/P+1/ECM available, skipping Wed May 14 15:40:41 2025 commencing number field sieve (185-digit input) Wed May 14 15:40:41 2025 R0: 59066822915424320448445358917464096768 Wed May 14 15:40:41 2025 R1: -378818692265664781682717625943 Wed May 14 15:40:41 2025 A0: 144 Wed May 14 15:40:41 2025 A1: 0 Wed May 14 15:40:41 2025 A2: 0 Wed May 14 15:40:41 2025 A3: -84 Wed May 14 15:40:41 2025 A4: 0 Wed May 14 15:40:41 2025 A5: 0 Wed May 14 15:40:41 2025 A6: 49 Wed May 14 15:40:41 2025 skew 1.20, size 2.128e-11, alpha -0.442, combined = 1.119e-12 rroots = 0 Wed May 14 15:40:41 2025 Wed May 14 15:40:41 2025 commencing relation filtering Wed May 14 15:40:41 2025 setting target matrix density to 110.0 Wed May 14 15:40:41 2025 estimated available RAM is 1031760.2 MB Wed May 14 15:40:41 2025 commencing duplicate removal, pass 1 Wed May 14 15:41:38 2025 skipped 5 relations with b > 2^32 Wed May 14 15:41:38 2025 skipped 78 malformed relations Wed May 14 15:41:38 2025 found 5007970 hash collisions in 107154381 relations Wed May 14 15:41:44 2025 added 145045 free relations Wed May 14 15:41:44 2025 commencing duplicate removal, pass 2 Wed May 14 15:42:01 2025 found 0 duplicates and 107299426 unique relations Wed May 14 15:42:01 2025 memory use: 277.2 MB Wed May 14 15:42:01 2025 reading ideals above 720000 Wed May 14 15:42:01 2025 commencing singleton removal, initial pass Wed May 14 15:44:15 2025 memory use: 2756.0 MB Wed May 14 15:44:15 2025 reading all ideals from disk Wed May 14 15:44:17 2025 memory use: 4843.6 MB Wed May 14 15:44:20 2025 keeping 91586636 ideals with weight <= 200, target excess is 553625 Wed May 14 15:44:26 2025 commencing in-memory singleton removal Wed May 14 15:44:26 2025 begin with 107299426 relations and 91586636 unique ideals Wed May 14 15:44:28 2025 reduce to 75161716 relations and 56612717 ideals in 12 passes Wed May 14 15:44:28 2025 max relations containing the same ideal: 165 Wed May 14 15:44:39 2025 removing 8055089 relations and 6055089 ideals in 2000000 cliques Wed May 14 15:44:42 2025 commencing in-memory singleton removal Wed May 14 15:44:42 2025 begin with 67106627 relations and 56612717 unique ideals Wed May 14 15:44:43 2025 reduce to 66426497 relations and 49855386 ideals in 7 passes Wed May 14 15:44:43 2025 max relations containing the same ideal: 154 Wed May 14 15:44:53 2025 removing 6453231 relations and 4453231 ideals in 2000000 cliques Wed May 14 15:44:55 2025 commencing in-memory singleton removal Wed May 14 15:44:55 2025 begin with 59973266 relations and 49855386 unique ideals Wed May 14 15:44:56 2025 reduce to 59499234 relations and 44914156 ideals in 7 passes Wed May 14 15:44:56 2025 max relations containing the same ideal: 147 Wed May 14 15:45:06 2025 removing 6007934 relations and 4007934 ideals in 2000000 cliques Wed May 14 15:45:08 2025 commencing in-memory singleton removal Wed May 14 15:45:08 2025 begin with 53491300 relations and 44914156 unique ideals Wed May 14 15:45:09 2025 reduce to 53066915 relations and 40468732 ideals in 7 passes Wed May 14 15:45:09 2025 max relations containing the same ideal: 133 Wed May 14 15:45:17 2025 removing 5781009 relations and 3781009 ideals in 2000000 cliques Wed May 14 15:45:19 2025 commencing in-memory singleton removal Wed May 14 15:45:19 2025 begin with 47285906 relations and 40468732 unique ideals Wed May 14 15:45:20 2025 reduce to 46875607 relations and 36263767 ideals in 6 passes Wed May 14 15:45:20 2025 max relations containing the same ideal: 122 Wed May 14 15:45:28 2025 removing 5639770 relations and 3639770 ideals in 2000000 cliques Wed May 14 15:45:29 2025 commencing in-memory singleton removal Wed May 14 15:45:30 2025 begin with 41235837 relations and 36263767 unique ideals Wed May 14 15:45:30 2025 reduce to 40819849 relations and 32192708 ideals in 6 passes Wed May 14 15:45:30 2025 max relations containing the same ideal: 111 Wed May 14 15:45:37 2025 removing 5539692 relations and 3539692 ideals in 2000000 cliques Wed May 14 15:45:39 2025 commencing in-memory singleton removal Wed May 14 15:45:39 2025 begin with 35280157 relations and 32192708 unique ideals Wed May 14 15:45:39 2025 reduce to 34845620 relations and 28200389 ideals in 6 passes Wed May 14 15:45:39 2025 max relations containing the same ideal: 101 Wed May 14 15:45:45 2025 removing 5464317 relations and 3464317 ideals in 2000000 cliques Wed May 14 15:45:46 2025 commencing in-memory singleton removal Wed May 14 15:45:47 2025 begin with 29381303 relations and 28200389 unique ideals Wed May 14 15:45:47 2025 reduce to 28911792 relations and 24244088 ideals in 7 passes Wed May 14 15:45:47 2025 max relations containing the same ideal: 93 Wed May 14 15:45:52 2025 removing 5394938 relations and 3394938 ideals in 2000000 cliques Wed May 14 15:45:53 2025 commencing in-memory singleton removal Wed May 14 15:45:53 2025 begin with 23516854 relations and 24244088 unique ideals Wed May 14 15:45:54 2025 reduce to 22987785 relations and 20289579 ideals in 8 passes Wed May 14 15:45:54 2025 max relations containing the same ideal: 75 Wed May 14 15:45:58 2025 removing 5323758 relations and 3323758 ideals in 2000000 cliques Wed May 14 15:45:59 2025 commencing in-memory singleton removal Wed May 14 15:45:59 2025 begin with 17664027 relations and 20289579 unique ideals Wed May 14 15:46:00 2025 reduce to 17006822 relations and 16261056 ideals in 8 passes Wed May 14 15:46:00 2025 max relations containing the same ideal: 63 Wed May 14 15:46:03 2025 removing 470660 relations and 367100 ideals in 103560 cliques Wed May 14 15:46:03 2025 commencing in-memory singleton removal Wed May 14 15:46:03 2025 begin with 16536162 relations and 16261056 unique ideals Wed May 14 15:46:04 2025 reduce to 16524501 relations and 15882196 ideals in 6 passes Wed May 14 15:46:04 2025 max relations containing the same ideal: 62 Wed May 14 15:46:05 2025 relations with 0 large ideals: 13533 Wed May 14 15:46:05 2025 relations with 1 large ideals: 13797 Wed May 14 15:46:05 2025 relations with 2 large ideals: 159752 Wed May 14 15:46:05 2025 relations with 3 large ideals: 868504 Wed May 14 15:46:05 2025 relations with 4 large ideals: 2486318 Wed May 14 15:46:05 2025 relations with 5 large ideals: 4168186 Wed May 14 15:46:05 2025 relations with 6 large ideals: 4316273 Wed May 14 15:46:05 2025 relations with 7+ large ideals: 4498138 Wed May 14 15:46:05 2025 commencing 2-way merge Wed May 14 15:46:09 2025 reduce to 11529280 relation sets and 10886975 unique ideals Wed May 14 15:46:09 2025 commencing full merge Wed May 14 15:48:10 2025 memory use: 1383.9 MB Wed May 14 15:48:11 2025 found 5335500 cycles, need 5267175 Wed May 14 15:48:12 2025 weight of 5267175 cycles is about 579825385 (110.08/cycle) Wed May 14 15:48:12 2025 distribution of cycle lengths: Wed May 14 15:48:12 2025 1 relations: 147245 Wed May 14 15:48:12 2025 2 relations: 307960 Wed May 14 15:48:12 2025 3 relations: 402061 Wed May 14 15:48:12 2025 4 relations: 440098 Wed May 14 15:48:12 2025 5 relations: 465108 Wed May 14 15:48:12 2025 6 relations: 459227 Wed May 14 15:48:12 2025 7 relations: 447159 Wed May 14 15:48:12 2025 8 relations: 412120 Wed May 14 15:48:12 2025 9 relations: 373185 Wed May 14 15:48:12 2025 10+ relations: 1813012 Wed May 14 15:48:12 2025 heaviest cycle: 26 relations Wed May 14 15:48:13 2025 commencing cycle optimization Wed May 14 15:48:18 2025 start with 43201838 relations Wed May 14 15:49:09 2025 pruned 2157628 relations Wed May 14 15:49:09 2025 memory use: 1135.0 MB Wed May 14 15:49:09 2025 distribution of cycle lengths: Wed May 14 15:49:09 2025 1 relations: 147245 Wed May 14 15:49:09 2025 2 relations: 317064 Wed May 14 15:49:09 2025 3 relations: 422364 Wed May 14 15:49:09 2025 4 relations: 462535 Wed May 14 15:49:09 2025 5 relations: 494271 Wed May 14 15:49:09 2025 6 relations: 487100 Wed May 14 15:49:09 2025 7 relations: 473014 Wed May 14 15:49:09 2025 8 relations: 433166 Wed May 14 15:49:09 2025 9 relations: 388658 Wed May 14 15:49:09 2025 10+ relations: 1641758 Wed May 14 15:49:09 2025 heaviest cycle: 26 relations Wed May 14 15:49:13 2025 RelProcTime: 512 Wed May 14 15:49:13 2025 elapsed time 00:08:33 Wed May 14 15:49:16 2025 Wed May 14 15:49:16 2025 Wed May 14 15:49:16 2025 Msieve v. 1.54 (SVN unknown) Wed May 14 15:49:16 2025 random seeds: 7f6a5315 10a5a2ea Wed May 14 15:49:16 2025 MPI process 0 of 4 Wed May 14 15:49:16 2025 Using 10 OpenMP threads Wed May 14 15:49:16 2025 factoring 46554844086442850189079788690848634374223266605911030043767274008855429267981249885900010441583920942189845427929643171297752864051809457589999340286299945518661875888034738300838775937 (185 digits) Wed May 14 15:49:16 2025 no P-1/P+1/ECM available, skipping Wed May 14 15:49:16 2025 commencing number field sieve (185-digit input) Wed May 14 15:49:16 2025 R0: 59066822915424320448445358917464096768 Wed May 14 15:49:16 2025 R1: -378818692265664781682717625943 Wed May 14 15:49:16 2025 A0: 144 Wed May 14 15:49:16 2025 A1: 0 Wed May 14 15:49:16 2025 A2: 0 Wed May 14 15:49:16 2025 A3: -84 Wed May 14 15:49:16 2025 A4: 0 Wed May 14 15:49:16 2025 A5: 0 Wed May 14 15:49:16 2025 A6: 49 Wed May 14 15:49:16 2025 skew 1.20, size 2.128e-11, alpha -0.442, combined = 1.119e-12 rroots = 0 Wed May 14 15:49:16 2025 Wed May 14 15:49:16 2025 commencing linear algebra Wed May 14 15:49:16 2025 using VBITS=256 Wed May 14 15:49:16 2025 initialized process (0,0) of 2 x 2 grid Wed May 14 15:49:17 2025 read 5267175 cycles Wed May 14 15:49:21 2025 cycles contain 16241128 unique relations Wed May 14 15:49:30 2025 read 16241128 relations Wed May 14 15:49:33 2025 using 20 quadratic characters above 4294917295 Wed May 14 15:49:38 2025 building initial matrix Wed May 14 15:51:29 2025 memory use: 2097.2 MB Wed May 14 15:51:32 2025 read 5267175 cycles Wed May 14 15:51:32 2025 matrix is 5266998 x 5267175 (2281.7 MB) with weight 652719364 (123.92/col) Wed May 14 15:51:32 2025 sparse part has weight 540185864 (102.56/col) Wed May 14 15:52:01 2025 filtering completed in 2 passes Wed May 14 15:52:01 2025 matrix is 5266720 x 5266891 (2281.6 MB) with weight 652709223 (123.93/col) Wed May 14 15:52:01 2025 sparse part has weight 540181643 (102.56/col) Wed May 14 15:52:08 2025 matrix starts at (0, 0) Wed May 14 15:52:09 2025 matrix is 2633480 x 2633447 (677.9 MB) with weight 205006719 (77.85/col) Wed May 14 15:52:09 2025 sparse part has weight 148745544 (56.48/col) Wed May 14 15:52:09 2025 saving the first 240 matrix rows for later Wed May 14 15:52:09 2025 matrix includes 256 packed rows Wed May 14 15:52:10 2025 matrix is 2633240 x 2633447 (580.9 MB) with weight 121386768 (46.09/col) Wed May 14 15:52:10 2025 sparse part has weight 110157220 (41.83/col) Wed May 14 15:52:10 2025 using GPU 0 (NVIDIA H200) Wed May 14 15:52:10 2025 selected card has CUDA arch 9.0 Wed May 14 15:52:16 2025 commencing Lanczos iteration Wed May 14 15:52:16 2025 memory use: 1342.7 MB Wed May 14 15:52:21 2025 linear algebra at 0.6%, ETA 0h11m Wed May 14 15:52:28 2025 checking every 410000 dimensions, checkpointing every 25420000 dimensions Wed May 14 16:03:26 2025 lanczos halted after 20635 iterations (dim = 5266480) Wed May 14 16:03:38 2025 recovered 43 nontrivial dependencies Wed May 14 16:03:39 2025 BLanczosTime: 863 Wed May 14 16:03:39 2025 elapsed time 00:14:23 Wed May 14 16:03:40 2025 Wed May 14 16:03:40 2025 Wed May 14 16:03:40 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed May 14 16:03:40 2025 random seeds: 87950f76 67144b79 Wed May 14 16:03:40 2025 MPI process 0 of 1 Wed May 14 16:03:40 2025 Using 64 OpenMP threads Wed May 14 16:03:40 2025 factoring 46554844086442850189079788690848634374223266605911030043767274008855429267981249885900010441583920942189845427929643171297752864051809457589999340286299945518661875888034738300838775937 (185 digits) Wed May 14 16:03:40 2025 no P-1/P+1/ECM available, skipping Wed May 14 16:03:40 2025 commencing number field sieve (185-digit input) Wed May 14 16:03:40 2025 R0: 59066822915424320448445358917464096768 Wed May 14 16:03:40 2025 R1: -378818692265664781682717625943 Wed May 14 16:03:40 2025 A0: 144 Wed May 14 16:03:40 2025 A1: 0 Wed May 14 16:03:40 2025 A2: 0 Wed May 14 16:03:40 2025 A3: -84 Wed May 14 16:03:40 2025 A4: 0 Wed May 14 16:03:40 2025 A5: 0 Wed May 14 16:03:40 2025 A6: 49 Wed May 14 16:03:40 2025 skew 1.20, size 2.128e-11, alpha -0.442, combined = 1.119e-12 rroots = 0 Wed May 14 16:03:40 2025 Wed May 14 16:03:40 2025 commencing square root phase Wed May 14 16:03:40 2025 reading relations for dependency 1 Wed May 14 16:03:41 2025 read 2634305 cycles Wed May 14 16:03:43 2025 cycles contain 8124660 unique relations Wed May 14 16:03:49 2025 read 8124660 relations Wed May 14 16:04:07 2025 multiplying 8124660 relations Wed May 14 16:04:39 2025 multiply complete, coefficients have about 245.79 million bits Wed May 14 16:04:40 2025 initial square root is modulo 661826999 Wed May 14 16:05:34 2025 sqrtTime: 114 Wed May 14 16:05:34 2025 p55 factor: 1943843470791812098710125201257946445303032764115620177 Wed May 14 16:05:34 2025 p131 factor: 23949893489869858070918627871899638366530819483490642371652875227198645933230494346250787259069079552318135919239032943296446200881 Wed May 14 16:05:34 2025 elapsed time 00:01:54