Sun Apr 21 14:33:15 2024 Sun Apr 21 14:33:15 2024 Sun Apr 21 14:33:15 2024 Msieve v. 1.54 (SVN Unversioned directory) Sun Apr 21 14:33:15 2024 random seeds: e9cff71b b488e889 Sun Apr 21 14:33:15 2024 MPI process 0 of 1 Sun Apr 21 14:33:15 2024 Using 23 OpenMP threads Sun Apr 21 14:33:15 2024 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits) Sun Apr 21 14:33:16 2024 no P-1/P+1/ECM available, skipping Sun Apr 21 14:33:16 2024 commencing number field sieve (254-digit input) Sun Apr 21 14:33:16 2024 R0: 21003569655917737906828913229119567415723332757300362 Sun Apr 21 14:33:16 2024 R1: -144926083421576455388993731 Sun Apr 21 14:33:16 2024 A0: 1 Sun Apr 21 14:33:16 2024 A1: 3 Sun Apr 21 14:33:16 2024 A2: -3 Sun Apr 21 14:33:16 2024 A3: -4 Sun Apr 21 14:33:16 2024 A4: 1 Sun Apr 21 14:33:16 2024 A5: 1 Sun Apr 21 14:33:16 2024 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5 Sun Apr 21 14:33:16 2024 Sun Apr 21 14:33:16 2024 commencing relation filtering Sun Apr 21 14:33:16 2024 setting target matrix density to 90.0 Sun Apr 21 14:33:16 2024 estimated available RAM is 192069.1 MB Sun Apr 21 14:33:16 2024 commencing duplicate removal, pass 1 Sun Apr 21 14:34:46 2024 error -11 reading relation 99547945 Sun Apr 21 14:35:33 2024 error -5 reading relation 152802768 Sun Apr 21 14:35:46 2024 error -5 reading relation 166911934 Sun Apr 21 14:35:46 2024 error -5 reading relation 166911935 Sun Apr 21 14:35:46 2024 error -5 reading relation 166987975 Sun Apr 21 14:35:46 2024 error -5 reading relation 167206767 Sun Apr 21 14:36:25 2024 error -5 reading relation 210956730 Sun Apr 21 14:36:25 2024 error -5 reading relation 210956731 Sun Apr 21 14:36:25 2024 error -1 reading relation 210968018 Sun Apr 21 14:36:51 2024 error -5 reading relation 239105367 Sun Apr 21 14:37:00 2024 error -1 reading relation 250042042 Sun Apr 21 14:37:11 2024 error -5 reading relation 261378885 Sun Apr 21 14:37:11 2024 error -11 reading relation 261380460 Sun Apr 21 14:37:11 2024 error -6 reading relation 261381721 Sun Apr 21 14:37:15 2024 skipped 1572 relations with b > 2^32 Sun Apr 21 14:37:15 2024 skipped 362 malformed relations Sun Apr 21 14:37:15 2024 found 7943194 hash collisions in 266659851 relations Sun Apr 21 14:37:23 2024 added 2926300 free relations Sun Apr 21 14:37:23 2024 commencing duplicate removal, pass 2 Sun Apr 21 14:38:27 2024 found 0 duplicates and 269586151 unique relations Sun Apr 21 14:38:27 2024 memory use: 810.4 MB Sun Apr 21 14:38:27 2024 reading ideals above 720000 Sun Apr 21 14:38:27 2024 commencing singleton removal, initial pass Sun Apr 21 14:49:58 2024 memory use: 6024.0 MB Sun Apr 21 14:49:58 2024 reading all ideals from disk Sun Apr 21 14:50:07 2024 memory use: 13313.9 MB Sun Apr 21 14:50:44 2024 keeping 256517655 ideals with weight <= 200, target excess is 1378758 Sun Apr 21 14:51:23 2024 commencing in-memory singleton removal Sun Apr 21 14:51:28 2024 begin with 269586151 relations and 256517655 unique ideals Sun Apr 21 14:51:51 2024 reduce to 170060733 relations and 146789126 ideals in 17 passes Sun Apr 21 14:51:51 2024 max relations containing the same ideal: 156 Sun Apr 21 14:52:40 2024 removing 13297724 relations and 11297724 ideals in 2000000 cliques Sun Apr 21 14:52:48 2024 commencing in-memory singleton removal Sun Apr 21 14:52:52 2024 begin with 156763009 relations and 146789126 unique ideals Sun Apr 21 14:53:01 2024 reduce to 155890637 relations and 134605055 ideals in 9 passes Sun Apr 21 14:53:01 2024 max relations containing the same ideal: 148 Sun Apr 21 14:53:44 2024 removing 10117460 relations and 8117460 ideals in 2000000 cliques Sun Apr 21 14:53:52 2024 commencing in-memory singleton removal Sun Apr 21 14:53:55 2024 begin with 145773177 relations and 134605055 unique ideals Sun Apr 21 14:54:02 2024 reduce to 145204694 relations and 125911202 ideals in 9 passes Sun Apr 21 14:54:02 2024 max relations containing the same ideal: 141 Sun Apr 21 14:54:43 2024 removing 9149344 relations and 7149344 ideals in 2000000 cliques Sun Apr 21 14:54:49 2024 commencing in-memory singleton removal Sun Apr 21 14:54:52 2024 begin with 136055350 relations and 125911202 unique ideals Sun Apr 21 14:54:59 2024 reduce to 135553542 relations and 118253174 ideals in 8 passes Sun Apr 21 14:54:59 2024 max relations containing the same ideal: 134 Sun Apr 21 14:55:36 2024 removing 8658343 relations and 6658343 ideals in 2000000 cliques Sun Apr 21 14:55:43 2024 commencing in-memory singleton removal Sun Apr 21 14:55:45 2024 begin with 126895199 relations and 118253174 unique ideals Sun Apr 21 14:55:51 2024 reduce to 126416893 relations and 111109907 ideals in 7 passes Sun Apr 21 14:55:51 2024 max relations containing the same ideal: 127 Sun Apr 21 14:56:27 2024 removing 8361343 relations and 6361343 ideals in 2000000 cliques Sun Apr 21 14:56:32 2024 commencing in-memory singleton removal Sun Apr 21 14:56:35 2024 begin with 118055550 relations and 111109907 unique ideals Sun Apr 21 14:56:41 2024 reduce to 117581562 relations and 104267530 ideals in 8 passes Sun Apr 21 14:56:41 2024 max relations containing the same ideal: 122 Sun Apr 21 14:57:14 2024 removing 8175096 relations and 6175096 ideals in 2000000 cliques Sun Apr 21 14:57:20 2024 commencing in-memory singleton removal Sun Apr 21 14:57:22 2024 begin with 109406466 relations and 104267530 unique ideals Sun Apr 21 14:57:27 2024 reduce to 108921217 relations and 97599712 ideals in 8 passes Sun Apr 21 14:57:27 2024 max relations containing the same ideal: 115 Sun Apr 21 14:57:58 2024 removing 8063059 relations and 6063059 ideals in 2000000 cliques Sun Apr 21 14:58:03 2024 commencing in-memory singleton removal Sun Apr 21 14:58:05 2024 begin with 100858158 relations and 97599712 unique ideals Sun Apr 21 14:58:10 2024 reduce to 100352137 relations and 91022370 ideals in 8 passes Sun Apr 21 14:58:10 2024 max relations containing the same ideal: 110 Sun Apr 21 14:58:38 2024 removing 8006021 relations and 6006021 ideals in 2000000 cliques Sun Apr 21 14:58:43 2024 commencing in-memory singleton removal Sun Apr 21 14:58:45 2024 begin with 92346116 relations and 91022370 unique ideals Sun Apr 21 14:58:49 2024 reduce to 91803896 relations and 84464705 ideals in 8 passes Sun Apr 21 14:58:49 2024 max relations containing the same ideal: 107 Sun Apr 21 14:59:16 2024 removing 8001902 relations and 6001902 ideals in 2000000 cliques Sun Apr 21 14:59:21 2024 commencing in-memory singleton removal Sun Apr 21 14:59:23 2024 begin with 83801994 relations and 84464705 unique ideals Sun Apr 21 14:59:27 2024 reduce to 83208592 relations and 77858098 ideals in 8 passes Sun Apr 21 14:59:27 2024 max relations containing the same ideal: 99 Sun Apr 21 14:59:52 2024 removing 8046239 relations and 6046239 ideals in 2000000 cliques Sun Apr 21 14:59:56 2024 commencing in-memory singleton removal Sun Apr 21 14:59:57 2024 begin with 75162353 relations and 77858098 unique ideals Sun Apr 21 15:00:01 2024 reduce to 74495412 relations and 71131027 ideals in 8 passes Sun Apr 21 15:00:01 2024 max relations containing the same ideal: 89 Sun Apr 21 15:00:24 2024 removing 7369516 relations and 5604491 ideals in 1765025 cliques Sun Apr 21 15:00:27 2024 commencing in-memory singleton removal Sun Apr 21 15:00:29 2024 begin with 67125896 relations and 71131027 unique ideals Sun Apr 21 15:00:32 2024 reduce to 66502357 relations and 64889935 ideals in 9 passes Sun Apr 21 15:00:32 2024 max relations containing the same ideal: 83 Sun Apr 21 15:00:53 2024 removing 120648 relations and 107586 ideals in 13062 cliques Sun Apr 21 15:00:56 2024 commencing in-memory singleton removal Sun Apr 21 15:00:57 2024 begin with 66381709 relations and 64889935 unique ideals Sun Apr 21 15:00:59 2024 reduce to 66381549 relations and 64782189 ideals in 4 passes Sun Apr 21 15:00:59 2024 max relations containing the same ideal: 83 Sun Apr 21 15:01:10 2024 relations with 0 large ideals: 109909 Sun Apr 21 15:01:10 2024 relations with 1 large ideals: 22349 Sun Apr 21 15:01:10 2024 relations with 2 large ideals: 268169 Sun Apr 21 15:01:10 2024 relations with 3 large ideals: 1716418 Sun Apr 21 15:01:10 2024 relations with 4 large ideals: 6084679 Sun Apr 21 15:01:10 2024 relations with 5 large ideals: 13021791 Sun Apr 21 15:01:10 2024 relations with 6 large ideals: 19505173 Sun Apr 21 15:01:10 2024 relations with 7+ large ideals: 25653061 Sun Apr 21 15:01:10 2024 commencing 2-way merge Sun Apr 21 15:01:42 2024 reduce to 42341548 relation sets and 40742188 unique ideals Sun Apr 21 15:01:42 2024 commencing full merge Sun Apr 21 15:11:56 2024 memory use: 5179.9 MB Sun Apr 21 15:12:00 2024 found 20592527 cycles, need 20404388 Sun Apr 21 15:12:06 2024 weight of 20404388 cycles is about 1836832230 (90.02/cycle) Sun Apr 21 15:12:06 2024 distribution of cycle lengths: Sun Apr 21 15:12:06 2024 1 relations: 2215559 Sun Apr 21 15:12:06 2024 2 relations: 1961752 Sun Apr 21 15:12:06 2024 3 relations: 1854295 Sun Apr 21 15:12:06 2024 4 relations: 1775575 Sun Apr 21 15:12:06 2024 5 relations: 1687876 Sun Apr 21 15:12:06 2024 6 relations: 1590159 Sun Apr 21 15:12:06 2024 7 relations: 1472364 Sun Apr 21 15:12:06 2024 8 relations: 1333938 Sun Apr 21 15:12:06 2024 9 relations: 1192883 Sun Apr 21 15:12:06 2024 10+ relations: 5319987 Sun Apr 21 15:12:06 2024 heaviest cycle: 27 relations Sun Apr 21 15:12:13 2024 commencing cycle optimization Sun Apr 21 15:12:42 2024 start with 138912992 relations Sun Apr 21 15:16:11 2024 pruned 4513519 relations Sun Apr 21 15:16:11 2024 memory use: 4135.1 MB Sun Apr 21 15:16:12 2024 distribution of cycle lengths: Sun Apr 21 15:16:12 2024 1 relations: 2215559 Sun Apr 21 15:16:12 2024 2 relations: 1999562 Sun Apr 21 15:16:12 2024 3 relations: 1919678 Sun Apr 21 15:16:12 2024 4 relations: 1831015 Sun Apr 21 15:16:12 2024 5 relations: 1751747 Sun Apr 21 15:16:12 2024 6 relations: 1640652 Sun Apr 21 15:16:12 2024 7 relations: 1519072 Sun Apr 21 15:16:12 2024 8 relations: 1365697 Sun Apr 21 15:16:12 2024 9 relations: 1216256 Sun Apr 21 15:16:12 2024 10+ relations: 4945150 Sun Apr 21 15:16:12 2024 heaviest cycle: 27 relations Sun Apr 21 15:16:42 2024 RelProcTime: 2606 Sun Apr 21 15:16:42 2024 elapsed time 00:43:27 Sun Apr 21 15:16:49 2024 Sun Apr 21 15:16:49 2024 Sun Apr 21 15:16:49 2024 Msieve v. 1.54 (SVN Unversioned directory) Sun Apr 21 15:16:49 2024 random seeds: 750fa90f 10f6f4fa Sun Apr 21 15:16:49 2024 MPI process 0 of 1 Sun Apr 21 15:16:49 2024 Using 23 OpenMP threads Sun Apr 21 15:16:49 2024 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits) Sun Apr 21 15:16:50 2024 no P-1/P+1/ECM available, skipping Sun Apr 21 15:16:50 2024 commencing number field sieve (254-digit input) Sun Apr 21 15:16:50 2024 R0: 21003569655917737906828913229119567415723332757300362 Sun Apr 21 15:16:50 2024 R1: -144926083421576455388993731 Sun Apr 21 15:16:50 2024 A0: 1 Sun Apr 21 15:16:50 2024 A1: 3 Sun Apr 21 15:16:50 2024 A2: -3 Sun Apr 21 15:16:50 2024 A3: -4 Sun Apr 21 15:16:50 2024 A4: 1 Sun Apr 21 15:16:50 2024 A5: 1 Sun Apr 21 15:16:50 2024 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5 Sun Apr 21 15:16:50 2024 Sun Apr 21 15:16:50 2024 commencing linear algebra Sun Apr 21 15:16:50 2024 using VBITS=128 Sun Apr 21 15:16:50 2024 stopping after matrix build Sun Apr 21 15:16:50 2024 initialized process (0,0) of 1 x 1 grid Sun Apr 21 15:16:53 2024 read 20404388 cycles Sun Apr 21 15:17:24 2024 cycles contain 65301772 unique relations Sun Apr 21 15:18:16 2024 read 65301772 relations Sun Apr 21 15:18:24 2024 using 20 quadratic characters above 4294917295 Sun Apr 21 15:18:40 2024 building initial matrix Sun Apr 21 15:29:32 2024 memory use: 7974.2 MB Sun Apr 21 15:29:51 2024 read 20404388 cycles Sun Apr 21 15:29:53 2024 matrix is 20404210 x 20404388 (7557.0 MB) with weight 2154258455 (105.58/col) Sun Apr 21 15:29:53 2024 sparse part has weight 1756583394 (86.09/col) Sun Apr 21 15:33:44 2024 filtering completed in 2 passes Sun Apr 21 15:33:47 2024 matrix is 20398451 x 20398626 (7556.5 MB) with weight 2154080369 (105.60/col) Sun Apr 21 15:33:47 2024 sparse part has weight 1756517734 (86.11/col) Sun Apr 21 15:34:35 2024 BLanczosTime: 1065 Sun Apr 21 15:34:35 2024 elapsed time 00:17:46 Sun Apr 21 18:02:30 2024 Sun Apr 21 18:02:31 2024 Sun Apr 21 18:02:31 2024 Msieve v. 1.54 (SVN unknown) Sun Apr 21 18:02:31 2024 random seeds: ab808e22 96bb1a71 Sun Apr 21 18:02:31 2024 MPI process 0 of 4 Sun Apr 21 18:02:31 2024 Using 16 OpenMP threads Sun Apr 21 18:02:31 2024 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits) Sun Apr 21 18:02:31 2024 no P-1/P+1/ECM available, skipping Sun Apr 21 18:02:31 2024 commencing number field sieve (254-digit input) Sun Apr 21 18:02:31 2024 R0: 21003569655917737906828913229119567415723332757300362 Sun Apr 21 18:02:31 2024 R1: -144926083421576455388993731 Sun Apr 21 18:02:31 2024 A0: 1 Sun Apr 21 18:02:31 2024 A1: 3 Sun Apr 21 18:02:31 2024 A2: -3 Sun Apr 21 18:02:31 2024 A3: -4 Sun Apr 21 18:02:31 2024 A4: 1 Sun Apr 21 18:02:31 2024 A5: 1 Sun Apr 21 18:02:31 2024 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5 Sun Apr 21 18:02:31 2024 Sun Apr 21 18:02:31 2024 commencing linear algebra Sun Apr 21 18:02:31 2024 using VBITS=256 Sun Apr 21 18:02:31 2024 skipping matrix build Sun Apr 21 18:02:32 2024 initialized process (0,0) of 2 x 2 grid Sun Apr 21 18:02:41 2024 matrix starts at (0, 0) Sun Apr 21 18:02:41 2024 matrix is 10199346 x 10199336 (2247.2 MB) with weight 675680963 (66.25/col) Sun Apr 21 18:02:41 2024 sparse part has weight 476903080 (46.76/col) Sun Apr 21 18:02:41 2024 saving the first 240 matrix rows for later Sun Apr 21 18:02:43 2024 matrix includes 256 packed rows Sun Apr 21 18:02:45 2024 matrix is 10199106 x 10199336 (2039.6 MB) with weight 401701314 (39.39/col) Sun Apr 21 18:02:45 2024 sparse part has weight 371479853 (36.42/col) Sun Apr 21 18:02:46 2024 using GPU 0 (NVIDIA A100-SXM4-40GB) Sun Apr 21 18:02:46 2024 selected card has CUDA arch 8.0 Sun Apr 21 18:03:05 2024 commencing Lanczos iteration Sun Apr 21 18:03:05 2024 memory use: 4779.5 MB Sun Apr 21 18:03:15 2024 linear algebra at 0.2%, ETA 1h39m Sun Apr 21 18:03:30 2024 checking every 190000 dimensions, checkpointing every 11590000 dimensions Sun Apr 21 19:50:24 2024 lanczos halted after 79921 iterations (dim = 20398209) Sun Apr 21 19:52:23 2024 recovered 33 nontrivial dependencies Sun Apr 21 19:52:25 2024 BLanczosTime: 6594 Sun Apr 21 19:52:25 2024 elapsed time 01:49:54 Sun Apr 21 18:19:44 2024 Sun Apr 21 18:19:44 2024 Sun Apr 21 18:19:44 2024 Msieve v. 1.54 (SVN Unversioned directory) Sun Apr 21 18:19:44 2024 random seeds: 187456e6 35bf5266 Sun Apr 21 18:19:44 2024 MPI process 0 of 1 Sun Apr 21 18:19:44 2024 Using 23 OpenMP threads Sun Apr 21 18:19:44 2024 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits) Sun Apr 21 18:19:45 2024 no P-1/P+1/ECM available, skipping Sun Apr 21 18:19:46 2024 commencing number field sieve (254-digit input) Sun Apr 21 18:19:46 2024 R0: 21003569655917737906828913229119567415723332757300362 Sun Apr 21 18:19:46 2024 R1: -144926083421576455388993731 Sun Apr 21 18:19:46 2024 A0: 1 Sun Apr 21 18:19:46 2024 A1: 3 Sun Apr 21 18:19:46 2024 A2: -3 Sun Apr 21 18:19:46 2024 A3: -4 Sun Apr 21 18:19:46 2024 A4: 1 Sun Apr 21 18:19:46 2024 A5: 1 Sun Apr 21 18:19:46 2024 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5 Sun Apr 21 18:19:46 2024 Sun Apr 21 18:19:46 2024 commencing square root phase Sun Apr 21 18:19:46 2024 reading relations for dependency 1 Sun Apr 21 18:19:48 2024 read 10201226 cycles Sun Apr 21 18:20:03 2024 cycles contain 32657856 unique relations Sun Apr 21 18:20:40 2024 read 32657856 relations Sun Apr 21 18:22:58 2024 multiplying 32657856 relations Sun Apr 21 18:24:34 2024 multiply complete, coefficients have about 858.51 million bits Sun Apr 21 18:24:36 2024 initial square root is modulo 50366263 Sun Apr 21 18:29:44 2024 sqrtTime: 598 Sun Apr 21 18:29:44 2024 p78 factor: 312729618962166180616831818267309773261031234712344202414567477902095736124009 Sun Apr 21 18:29:44 2024 p176 factor: 90789413890603613673452937866180655864551278920797796109343301049156676550888185356561749699172195684357461188010040860788936693204357124467124982134469642882733020373436657689 Sun Apr 21 18:29:44 2024 elapsed time 00:10:00