Sat Sep 27 21:17:04 2025 Sat Sep 27 21:17:04 2025 Sat Sep 27 21:17:04 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Sep 27 21:17:04 2025 random seeds: 64bb87fc 54559890 Sat Sep 27 21:17:04 2025 MPI process 0 of 1 Sat Sep 27 21:17:04 2025 Using 46 OpenMP threads Sat Sep 27 21:17:04 2025 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits) Sat Sep 27 21:17:05 2025 no P-1/P+1/ECM available, skipping Sat Sep 27 21:17:05 2025 commencing number field sieve (254-digit input) Sat Sep 27 21:17:05 2025 R0: 21003569655917737906828913229119567415723332757300362 Sat Sep 27 21:17:05 2025 R1: -144926083421576455388993731 Sat Sep 27 21:17:05 2025 A0: 1 Sat Sep 27 21:17:05 2025 A1: 3 Sat Sep 27 21:17:05 2025 A2: -3 Sat Sep 27 21:17:05 2025 A3: -4 Sat Sep 27 21:17:05 2025 A4: 1 Sat Sep 27 21:17:05 2025 A5: 1 Sat Sep 27 21:17:05 2025 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5 Sat Sep 27 21:17:05 2025 Sat Sep 27 21:17:05 2025 commencing relation filtering Sat Sep 27 21:17:05 2025 setting target matrix density to 70.0 Sat Sep 27 21:17:05 2025 estimated available RAM is 385608.3 MB Sat Sep 27 21:17:05 2025 commencing duplicate removal, pass 1 Sat Sep 27 21:18:58 2025 error -15 reading relation 213399054 Sat Sep 27 21:19:21 2025 skipped 1395 relations with b > 2^32 Sat Sep 27 21:19:21 2025 skipped 297 malformed relations Sat Sep 27 21:19:21 2025 found 14131291 hash collisions in 256189401 relations Sat Sep 27 21:19:21 2025 commencing duplicate removal, pass 2 Sat Sep 27 21:20:10 2025 found 0 duplicates and 256189401 unique relations Sat Sep 27 21:20:10 2025 memory use: 852.8 MB Sat Sep 27 21:20:10 2025 reading ideals above 720000 Sat Sep 27 21:20:10 2025 commencing singleton removal, initial pass Sat Sep 27 21:29:04 2025 memory use: 6024.0 MB Sat Sep 27 21:29:04 2025 reading all ideals from disk Sat Sep 27 21:29:13 2025 memory use: 12645.9 MB Sat Sep 27 21:29:36 2025 keeping 252688750 ideals with weight <= 200, target excess is 1306678 Sat Sep 27 21:30:02 2025 commencing in-memory singleton removal Sat Sep 27 21:30:05 2025 begin with 256189401 relations and 252688750 unique ideals Sat Sep 27 21:30:21 2025 reduce to 150573841 relations and 135221022 ideals in 17 passes Sat Sep 27 21:30:21 2025 max relations containing the same ideal: 148 Sat Sep 27 21:31:08 2025 removing 14358188 relations and 12358188 ideals in 2000000 cliques Sat Sep 27 21:31:13 2025 commencing in-memory singleton removal Sat Sep 27 21:31:15 2025 begin with 136215653 relations and 135221022 unique ideals Sat Sep 27 21:31:20 2025 reduce to 135011959 relations and 121636889 ideals in 9 passes Sat Sep 27 21:31:20 2025 max relations containing the same ideal: 138 Sat Sep 27 21:32:07 2025 removing 10932513 relations and 8932513 ideals in 2000000 cliques Sat Sep 27 21:32:12 2025 commencing in-memory singleton removal Sat Sep 27 21:32:14 2025 begin with 124079446 relations and 121636889 unique ideals Sat Sep 27 21:32:19 2025 reduce to 123284552 relations and 111896799 ideals in 9 passes Sat Sep 27 21:32:19 2025 max relations containing the same ideal: 127 Sat Sep 27 21:32:56 2025 removing 9907212 relations and 7907212 ideals in 2000000 cliques Sat Sep 27 21:33:00 2025 commencing in-memory singleton removal Sat Sep 27 21:33:02 2025 begin with 113377340 relations and 111896799 unique ideals Sat Sep 27 21:33:07 2025 reduce to 112660939 relations and 103261726 ideals in 11 passes Sat Sep 27 21:33:07 2025 max relations containing the same ideal: 121 Sat Sep 27 21:33:41 2025 removing 9398173 relations and 7398173 ideals in 2000000 cliques Sat Sep 27 21:33:45 2025 commencing in-memory singleton removal Sat Sep 27 21:33:47 2025 begin with 103262766 relations and 103261726 unique ideals Sat Sep 27 21:33:50 2025 reduce to 102557007 relations and 95145886 ideals in 8 passes Sat Sep 27 21:33:50 2025 max relations containing the same ideal: 117 Sat Sep 27 21:34:23 2025 removing 9121865 relations and 7121865 ideals in 2000000 cliques Sat Sep 27 21:34:27 2025 commencing in-memory singleton removal Sat Sep 27 21:34:28 2025 begin with 93435142 relations and 95145886 unique ideals Sat Sep 27 21:34:31 2025 reduce to 92706981 relations and 87282927 ideals in 9 passes Sat Sep 27 21:34:31 2025 max relations containing the same ideal: 108 Sat Sep 27 21:35:01 2025 removing 8979847 relations and 6979847 ideals in 2000000 cliques Sat Sep 27 21:35:05 2025 commencing in-memory singleton removal Sat Sep 27 21:35:06 2025 begin with 83727134 relations and 87282927 unique ideals Sat Sep 27 21:35:09 2025 reduce to 82943767 relations and 79504232 ideals in 9 passes Sat Sep 27 21:35:09 2025 max relations containing the same ideal: 99 Sat Sep 27 21:35:35 2025 removing 8673035 relations and 6749247 ideals in 1923788 cliques Sat Sep 27 21:35:38 2025 commencing in-memory singleton removal Sat Sep 27 21:35:39 2025 begin with 74270732 relations and 79504232 unique ideals Sat Sep 27 21:35:42 2025 reduce to 73449073 relations and 71916057 ideals in 10 passes Sat Sep 27 21:35:42 2025 max relations containing the same ideal: 92 Sat Sep 27 21:36:05 2025 removing 174106 relations and 156837 ideals in 17269 cliques Sat Sep 27 21:36:07 2025 commencing in-memory singleton removal Sat Sep 27 21:36:08 2025 begin with 73274967 relations and 71916057 unique ideals Sat Sep 27 21:36:09 2025 reduce to 73274664 relations and 71758917 ideals in 5 passes Sat Sep 27 21:36:09 2025 max relations containing the same ideal: 92 Sat Sep 27 21:36:18 2025 relations with 0 large ideals: 103918 Sat Sep 27 21:36:18 2025 relations with 1 large ideals: 18928 Sat Sep 27 21:36:18 2025 relations with 2 large ideals: 230746 Sat Sep 27 21:36:18 2025 relations with 3 large ideals: 1554953 Sat Sep 27 21:36:18 2025 relations with 4 large ideals: 5851325 Sat Sep 27 21:36:18 2025 relations with 5 large ideals: 13344754 Sat Sep 27 21:36:18 2025 relations with 6 large ideals: 21304667 Sat Sep 27 21:36:18 2025 relations with 7+ large ideals: 30865373 Sat Sep 27 21:36:18 2025 commencing 2-way merge Sat Sep 27 21:36:53 2025 reduce to 46144918 relation sets and 44629171 unique ideals Sat Sep 27 21:36:53 2025 commencing full merge Sat Sep 27 21:45:52 2025 memory use: 5458.6 MB Sat Sep 27 21:45:56 2025 found 24523427 cycles, need 24317371 Sat Sep 27 21:46:03 2025 weight of 24317371 cycles is about 1702371878 (70.01/cycle) Sat Sep 27 21:46:03 2025 distribution of cycle lengths: Sat Sep 27 21:46:03 2025 1 relations: 3579604 Sat Sep 27 21:46:03 2025 2 relations: 3121619 Sat Sep 27 21:46:03 2025 3 relations: 2863625 Sat Sep 27 21:46:03 2025 4 relations: 2588326 Sat Sep 27 21:46:03 2025 5 relations: 2289268 Sat Sep 27 21:46:03 2025 6 relations: 2026209 Sat Sep 27 21:46:03 2025 7 relations: 1759737 Sat Sep 27 21:46:03 2025 8 relations: 1477784 Sat Sep 27 21:46:03 2025 9 relations: 1202279 Sat Sep 27 21:46:03 2025 10+ relations: 3408920 Sat Sep 27 21:46:03 2025 heaviest cycle: 23 relations Sat Sep 27 21:46:12 2025 commencing cycle optimization Sat Sep 27 21:46:42 2025 start with 128403891 relations Sat Sep 27 21:49:06 2025 pruned 2715848 relations Sat Sep 27 21:49:07 2025 memory use: 4292.5 MB Sat Sep 27 21:49:07 2025 distribution of cycle lengths: Sat Sep 27 21:49:07 2025 1 relations: 3579604 Sat Sep 27 21:49:07 2025 2 relations: 3175445 Sat Sep 27 21:49:07 2025 3 relations: 2948589 Sat Sep 27 21:49:07 2025 4 relations: 2640785 Sat Sep 27 21:49:07 2025 5 relations: 2342103 Sat Sep 27 21:49:07 2025 6 relations: 2053729 Sat Sep 27 21:49:07 2025 7 relations: 1776108 Sat Sep 27 21:49:07 2025 8 relations: 1474006 Sat Sep 27 21:49:07 2025 9 relations: 1187119 Sat Sep 27 21:49:07 2025 10+ relations: 3139883 Sat Sep 27 21:49:07 2025 heaviest cycle: 23 relations Sat Sep 27 21:49:48 2025 RelProcTime: 1963 Sat Sep 27 21:49:49 2025 elapsed time 00:32:45 Sat Sep 27 21:49:50 2025 Sat Sep 27 21:49:50 2025 Sat Sep 27 21:49:50 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Sep 27 21:49:50 2025 random seeds: 7a43a749 13809074 Sat Sep 27 21:49:50 2025 MPI process 0 of 1 Sat Sep 27 21:49:50 2025 Using 46 OpenMP threads Sat Sep 27 21:49:50 2025 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits) Sat Sep 27 21:49:51 2025 no P-1/P+1/ECM available, skipping Sat Sep 27 21:49:51 2025 commencing number field sieve (254-digit input) Sat Sep 27 21:49:51 2025 R0: 21003569655917737906828913229119567415723332757300362 Sat Sep 27 21:49:51 2025 R1: -144926083421576455388993731 Sat Sep 27 21:49:51 2025 A0: 1 Sat Sep 27 21:49:51 2025 A1: 3 Sat Sep 27 21:49:51 2025 A2: -3 Sat Sep 27 21:49:51 2025 A3: -4 Sat Sep 27 21:49:51 2025 A4: 1 Sat Sep 27 21:49:51 2025 A5: 1 Sat Sep 27 21:49:51 2025 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5 Sat Sep 27 21:49:51 2025 Sat Sep 27 21:49:51 2025 commencing linear algebra Sat Sep 27 21:49:51 2025 using VBITS=256 Sat Sep 27 21:49:51 2025 stopping after matrix build Sat Sep 27 21:49:51 2025 initialized process (0,0) of 1 x 1 grid Sat Sep 27 21:49:53 2025 read 24317371 cycles Sat Sep 27 21:50:24 2025 cycles contain 72056107 unique relations Sat Sep 27 21:50:55 2025 read 72056107 relations Sat Sep 27 21:51:00 2025 using 20 quadratic characters above 4294917295 Sat Sep 27 21:51:09 2025 building initial matrix Sat Sep 27 22:00:22 2025 memory use: 9025.1 MB Sat Sep 27 22:00:39 2025 read 24317371 cycles Sat Sep 27 22:00:41 2025 matrix is 24317191 x 24317371 (7342.8 MB) with weight 2101613598 (86.42/col) Sat Sep 27 22:00:41 2025 sparse part has weight 1657390589 (68.16/col) Sat Sep 27 22:04:23 2025 filtering completed in 2 passes Sat Sep 27 22:04:26 2025 matrix is 24295662 x 24295825 (7341.4 MB) with weight 2101088350 (86.48/col) Sat Sep 27 22:04:26 2025 sparse part has weight 1657238476 (68.21/col) Sat Sep 27 22:05:12 2025 BLanczosTime: 921 Sat Sep 27 22:05:12 2025 elapsed time 00:15:22 Sat Sep 27 22:06:10 2025 Sat Sep 27 22:06:10 2025 Sat Sep 27 22:06:10 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Sep 27 22:06:10 2025 random seeds: c8c5a511 aeb4edd1 Sat Sep 27 22:06:10 2025 MPI process 0 of 4 Sat Sep 27 22:06:10 2025 Using 15 OpenMP threads Sat Sep 27 22:06:10 2025 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits) Sat Sep 27 22:06:10 2025 no P-1/P+1/ECM available, skipping Sat Sep 27 22:06:10 2025 commencing number field sieve (254-digit input) Sat Sep 27 22:06:10 2025 R0: 21003569655917737906828913229119567415723332757300362 Sat Sep 27 22:06:10 2025 R1: -144926083421576455388993731 Sat Sep 27 22:06:10 2025 A0: 1 Sat Sep 27 22:06:10 2025 A1: 3 Sat Sep 27 22:06:10 2025 A2: -3 Sat Sep 27 22:06:10 2025 A3: -4 Sat Sep 27 22:06:10 2025 A4: 1 Sat Sep 27 22:06:10 2025 A5: 1 Sat Sep 27 22:06:10 2025 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5 Sat Sep 27 22:06:10 2025 Sat Sep 27 22:06:10 2025 commencing linear algebra Sat Sep 27 22:06:10 2025 using VBITS=256 Sat Sep 27 22:06:10 2025 skipping matrix build Sat Sep 27 22:06:10 2025 initialized process (0,0) of 2 x 2 grid Sat Sep 27 22:06:18 2025 matrix starts at (0, 0) Sat Sep 27 22:06:19 2025 matrix is 12147951 x 12147817 (2226.9 MB) with weight 672074340 (55.32/col) Sat Sep 27 22:06:19 2025 sparse part has weight 450152859 (37.06/col) Sat Sep 27 22:06:19 2025 saving the first 240 matrix rows for later Sat Sep 27 22:06:20 2025 matrix includes 256 packed rows Sat Sep 27 22:06:22 2025 matrix is 12147711 x 12147817 (2077.7 MB) with weight 378559562 (31.16/col) Sat Sep 27 22:06:22 2025 sparse part has weight 350282023 (28.83/col) Sat Sep 27 22:06:22 2025 using GPU 0 (NVIDIA H200) Sat Sep 27 22:06:22 2025 selected card has CUDA arch 9.0 Sat Sep 27 22:06:46 2025 commencing Lanczos iteration Sat Sep 27 22:06:47 2025 memory use: 4989.5 MB Sat Sep 27 22:06:52 2025 linear algebra at 0.1%, ETA 1h 6m Sat Sep 27 22:06:59 2025 checking every 380000 dimensions, checkpointing every 23180000 dimensions Sat Sep 27 23:07:26 2025 lanczos halted after 95189 iterations (dim = 24295420) Sat Sep 27 23:08:48 2025 recovered 33 nontrivial dependencies Sat Sep 27 23:08:49 2025 BLanczosTime: 3759 Sat Sep 27 23:08:49 2025 elapsed time 01:02:39 Sat Sep 27 23:09:04 2025 Sat Sep 27 23:09:04 2025 Sat Sep 27 23:09:04 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Sep 27 23:09:04 2025 random seeds: 890bfaf2 48f98644 Sat Sep 27 23:09:04 2025 MPI process 0 of 1 Sat Sep 27 23:09:04 2025 Using 32 OpenMP threads Sat Sep 27 23:09:04 2025 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits) Sat Sep 27 23:09:05 2025 no P-1/P+1/ECM available, skipping Sat Sep 27 23:09:05 2025 commencing number field sieve (254-digit input) Sat Sep 27 23:09:05 2025 R0: 21003569655917737906828913229119567415723332757300362 Sat Sep 27 23:09:05 2025 R1: -144926083421576455388993731 Sat Sep 27 23:09:05 2025 A0: 1 Sat Sep 27 23:09:05 2025 A1: 3 Sat Sep 27 23:09:05 2025 A2: -3 Sat Sep 27 23:09:05 2025 A3: -4 Sat Sep 27 23:09:05 2025 A4: 1 Sat Sep 27 23:09:05 2025 A5: 1 Sat Sep 27 23:09:05 2025 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5 Sat Sep 27 23:09:05 2025 Sat Sep 27 23:09:05 2025 commencing square root phase Sat Sep 27 23:09:05 2025 reading relations for dependency 1 Sat Sep 27 23:09:08 2025 read 12149375 cycles Sat Sep 27 23:09:21 2025 cycles contain 36027578 unique relations Sat Sep 27 23:09:43 2025 read 36027578 relations Sat Sep 27 23:11:32 2025 multiplying 36027578 relations Sat Sep 27 23:12:52 2025 multiply complete, coefficients have about 946.32 million bits Sat Sep 27 23:12:55 2025 initial square root is modulo 308978783 Sat Sep 27 23:17:07 2025 sqrtTime: 482 Sat Sep 27 23:17:07 2025 p78 factor: 312729618962166180616831818267309773261031234712344202414567477902095736124009 Sat Sep 27 23:17:07 2025 p176 factor: 90789413890603613673452937866180655864551278920797796109343301049156676550888185356561749699172195684357461188010040860788936693204357124467124982134469642882733020373436657689 Sat Sep 27 23:17:07 2025 elapsed time 00:08:03