Wed Oct 19 16:22:53 2022 Wed Oct 19 16:22:53 2022 Wed Oct 19 16:22:53 2022 Msieve v. 1.54 (SVN unknown) Wed Oct 19 16:22:53 2022 random seeds: 72839f30 e0d2c352 Wed Oct 19 16:22:53 2022 MPI process 0 of 1 Wed Oct 19 16:22:53 2022 Using 16 OpenMP threads Wed Oct 19 16:22:53 2022 factoring 4183478623038160915992189999414364307225341758604915677119612696108500563379785953759320827111293236061658766426345246503564126881965925521407267141369652514602141507079292053221740295090231 (190 digits) Wed Oct 19 16:22:54 2022 no P-1/P+1/ECM available, skipping Wed Oct 19 16:22:54 2022 commencing number field sieve (190-digit input) Wed Oct 19 16:22:54 2022 R0: 4318114567396436564035293097707728087552248849 Wed Oct 19 16:22:54 2022 R1: -58149737003040059690390169 Wed Oct 19 16:22:54 2022 A0: 7 Wed Oct 19 16:22:54 2022 A1: 0 Wed Oct 19 16:22:54 2022 A2: 0 Wed Oct 19 16:22:54 2022 A3: 0 Wed Oct 19 16:22:54 2022 A4: 0 Wed Oct 19 16:22:54 2022 A5: 0 Wed Oct 19 16:22:54 2022 A6: 3 Wed Oct 19 16:22:54 2022 skew 1.15, size 2.248e-13, alpha 0.227, combined = 3.679e-14 rroots = 0 Wed Oct 19 16:22:54 2022 Wed Oct 19 16:22:54 2022 commencing relation filtering Wed Oct 19 16:22:54 2022 setting target matrix density to 110.0 Wed Oct 19 16:22:54 2022 estimated available RAM is 257650.2 MB Wed Oct 19 16:22:54 2022 commencing duplicate removal, pass 1 Wed Oct 19 16:28:37 2022 skipped 1724 relations with b > 2^32 Wed Oct 19 16:28:37 2022 skipped 39 relations with composite factors Wed Oct 19 16:28:37 2022 skipped 649 malformed relations Wed Oct 19 16:28:37 2022 found 109217189 hash collisions in 466325170 relations Wed Oct 19 16:29:00 2022 added 1217759 free relations Wed Oct 19 16:29:00 2022 commencing duplicate removal, pass 2 Wed Oct 19 16:31:42 2022 found 107116903 duplicates and 360426026 unique relations Wed Oct 19 16:31:42 2022 memory use: 2387.0 MB Wed Oct 19 16:31:42 2022 reading ideals above 720000 Wed Oct 19 16:31:42 2022 commencing singleton removal, initial pass Wed Oct 19 16:56:19 2022 memory use: 11024.0 MB Wed Oct 19 16:56:19 2022 reading all ideals from disk Wed Oct 19 16:56:27 2022 memory use: 17995.1 MB Wed Oct 19 16:56:58 2022 keeping 341395607 ideals with weight <= 200, target excess is 1819775 Wed Oct 19 16:57:37 2022 commencing in-memory singleton removal Wed Oct 19 16:57:41 2022 begin with 360426026 relations and 341395607 unique ideals Wed Oct 19 16:58:16 2022 reduce to 227606786 relations and 194649447 ideals in 18 passes Wed Oct 19 16:58:16 2022 max relations containing the same ideal: 155 Wed Oct 19 16:59:20 2022 removing 14444834 relations and 12444834 ideals in 2000000 cliques Wed Oct 19 16:59:26 2022 commencing in-memory singleton removal Wed Oct 19 16:59:29 2022 begin with 213161952 relations and 194649447 unique ideals Wed Oct 19 16:59:43 2022 reduce to 212405031 relations and 181438427 ideals in 9 passes Wed Oct 19 16:59:43 2022 max relations containing the same ideal: 149 Wed Oct 19 17:00:44 2022 removing 10863954 relations and 8863954 ideals in 2000000 cliques Wed Oct 19 17:00:50 2022 commencing in-memory singleton removal Wed Oct 19 17:00:52 2022 begin with 201541077 relations and 181438427 unique ideals Wed Oct 19 17:01:07 2022 reduce to 201064091 relations and 172092585 ideals in 8 passes Wed Oct 19 17:01:07 2022 max relations containing the same ideal: 144 Wed Oct 19 17:02:05 2022 removing 9758081 relations and 7758081 ideals in 2000000 cliques Wed Oct 19 17:02:10 2022 commencing in-memory singleton removal Wed Oct 19 17:02:12 2022 begin with 191306010 relations and 172092585 unique ideals Wed Oct 19 17:02:24 2022 reduce to 190896725 relations and 163920957 ideals in 8 passes Wed Oct 19 17:02:24 2022 max relations containing the same ideal: 141 Wed Oct 19 17:03:16 2022 removing 9164896 relations and 7164896 ideals in 2000000 cliques Wed Oct 19 17:03:21 2022 commencing in-memory singleton removal Wed Oct 19 17:03:22 2022 begin with 181731829 relations and 163920957 unique ideals Wed Oct 19 17:03:34 2022 reduce to 181351515 relations and 156372005 ideals in 8 passes Wed Oct 19 17:03:34 2022 max relations containing the same ideal: 136 Wed Oct 19 17:04:23 2022 removing 8788371 relations and 6788371 ideals in 2000000 cliques Wed Oct 19 17:04:27 2022 commencing in-memory singleton removal Wed Oct 19 17:04:29 2022 begin with 172563144 relations and 156372005 unique ideals Wed Oct 19 17:04:39 2022 reduce to 172198373 relations and 149215122 ideals in 8 passes Wed Oct 19 17:04:39 2022 max relations containing the same ideal: 131 Wed Oct 19 17:05:26 2022 removing 8530743 relations and 6530743 ideals in 2000000 cliques Wed Oct 19 17:05:30 2022 commencing in-memory singleton removal Wed Oct 19 17:05:32 2022 begin with 163667630 relations and 149215122 unique ideals Wed Oct 19 17:05:41 2022 reduce to 163304949 relations and 142317786 ideals in 7 passes Wed Oct 19 17:05:41 2022 max relations containing the same ideal: 126 Wed Oct 19 17:06:26 2022 removing 8353576 relations and 6353576 ideals in 2000000 cliques Wed Oct 19 17:06:30 2022 commencing in-memory singleton removal Wed Oct 19 17:06:32 2022 begin with 154951373 relations and 142317786 unique ideals Wed Oct 19 17:06:41 2022 reduce to 154587783 relations and 135596502 ideals in 8 passes Wed Oct 19 17:06:41 2022 max relations containing the same ideal: 121 Wed Oct 19 17:07:23 2022 removing 8233712 relations and 6233712 ideals in 2000000 cliques Wed Oct 19 17:07:27 2022 commencing in-memory singleton removal Wed Oct 19 17:07:29 2022 begin with 146354071 relations and 135596502 unique ideals Wed Oct 19 17:07:37 2022 reduce to 145983508 relations and 128988077 ideals in 7 passes Wed Oct 19 17:07:37 2022 max relations containing the same ideal: 119 Wed Oct 19 17:08:18 2022 removing 8149410 relations and 6149410 ideals in 2000000 cliques Wed Oct 19 17:08:22 2022 commencing in-memory singleton removal Wed Oct 19 17:08:23 2022 begin with 137834098 relations and 128988077 unique ideals Wed Oct 19 17:08:30 2022 reduce to 137450739 relations and 122450639 ideals in 7 passes Wed Oct 19 17:08:30 2022 max relations containing the same ideal: 116 Wed Oct 19 17:09:09 2022 removing 8098312 relations and 6098312 ideals in 2000000 cliques Wed Oct 19 17:09:13 2022 commencing in-memory singleton removal Wed Oct 19 17:09:14 2022 begin with 129352427 relations and 122450639 unique ideals Wed Oct 19 17:09:22 2022 reduce to 128952999 relations and 115947719 ideals in 8 passes Wed Oct 19 17:09:22 2022 max relations containing the same ideal: 109 Wed Oct 19 17:09:59 2022 removing 8077637 relations and 6077637 ideals in 2000000 cliques Wed Oct 19 17:10:02 2022 commencing in-memory singleton removal Wed Oct 19 17:10:04 2022 begin with 120875362 relations and 115947719 unique ideals Wed Oct 19 17:10:10 2022 reduce to 120456310 relations and 109445295 ideals in 7 passes Wed Oct 19 17:10:10 2022 max relations containing the same ideal: 105 Wed Oct 19 17:10:46 2022 removing 8085722 relations and 6085722 ideals in 2000000 cliques Wed Oct 19 17:10:51 2022 commencing in-memory singleton removal Wed Oct 19 17:10:52 2022 begin with 112370588 relations and 109445295 unique ideals Wed Oct 19 17:10:59 2022 reduce to 111921468 relations and 102903966 ideals in 7 passes Wed Oct 19 17:10:59 2022 max relations containing the same ideal: 101 Wed Oct 19 17:11:32 2022 removing 8113847 relations and 6113847 ideals in 2000000 cliques Wed Oct 19 17:11:36 2022 commencing in-memory singleton removal Wed Oct 19 17:11:37 2022 begin with 103807621 relations and 102903966 unique ideals Wed Oct 19 17:11:43 2022 reduce to 103321340 relations and 96296190 ideals in 8 passes Wed Oct 19 17:11:43 2022 max relations containing the same ideal: 95 Wed Oct 19 17:12:13 2022 removing 8165990 relations and 6165990 ideals in 2000000 cliques Wed Oct 19 17:12:17 2022 commencing in-memory singleton removal Wed Oct 19 17:12:18 2022 begin with 95155350 relations and 96296190 unique ideals Wed Oct 19 17:12:24 2022 reduce to 94620796 relations and 89586757 ideals in 8 passes Wed Oct 19 17:12:24 2022 max relations containing the same ideal: 89 Wed Oct 19 17:12:52 2022 removing 8247108 relations and 6247108 ideals in 2000000 cliques Wed Oct 19 17:12:55 2022 commencing in-memory singleton removal Wed Oct 19 17:12:56 2022 begin with 86373688 relations and 89586757 unique ideals Wed Oct 19 17:13:01 2022 reduce to 85777963 relations and 82733087 ideals in 8 passes Wed Oct 19 17:13:01 2022 max relations containing the same ideal: 82 Wed Oct 19 17:13:27 2022 removing 4556304 relations and 3622368 ideals in 933936 cliques Wed Oct 19 17:13:29 2022 commencing in-memory singleton removal Wed Oct 19 17:13:30 2022 begin with 81221659 relations and 82733087 unique ideals Wed Oct 19 17:13:35 2022 reduce to 81035444 relations and 78922830 ideals in 7 passes Wed Oct 19 17:13:35 2022 max relations containing the same ideal: 81 Wed Oct 19 17:14:09 2022 relations with 0 large ideals: 69699 Wed Oct 19 17:14:09 2022 relations with 1 large ideals: 34511 Wed Oct 19 17:14:09 2022 relations with 2 large ideals: 448068 Wed Oct 19 17:14:09 2022 relations with 3 large ideals: 2692983 Wed Oct 19 17:14:09 2022 relations with 4 large ideals: 8829342 Wed Oct 19 17:14:09 2022 relations with 5 large ideals: 17418713 Wed Oct 19 17:14:09 2022 relations with 6 large ideals: 21642443 Wed Oct 19 17:14:09 2022 relations with 7+ large ideals: 29899685 Wed Oct 19 17:14:09 2022 commencing 2-way merge Wed Oct 19 17:14:48 2022 reduce to 51269550 relation sets and 49156936 unique ideals Wed Oct 19 17:14:48 2022 commencing full merge Wed Oct 19 17:30:39 2022 memory use: 6332.4 MB Wed Oct 19 17:30:44 2022 found 23627640 cycles, need 23427136 Wed Oct 19 17:30:51 2022 weight of 23427136 cycles is about 2577630885 (110.03/cycle) Wed Oct 19 17:30:51 2022 distribution of cycle lengths: Wed Oct 19 17:30:51 2022 1 relations: 1904035 Wed Oct 19 17:30:51 2022 2 relations: 1880798 Wed Oct 19 17:30:51 2022 3 relations: 1874319 Wed Oct 19 17:30:51 2022 4 relations: 1793690 Wed Oct 19 17:30:51 2022 5 relations: 1747063 Wed Oct 19 17:30:51 2022 6 relations: 1683946 Wed Oct 19 17:30:51 2022 7 relations: 1596625 Wed Oct 19 17:30:51 2022 8 relations: 1511840 Wed Oct 19 17:30:51 2022 9 relations: 1402292 Wed Oct 19 17:30:51 2022 10+ relations: 8032528 Wed Oct 19 17:30:51 2022 heaviest cycle: 28 relations Wed Oct 19 17:30:55 2022 commencing cycle optimization Wed Oct 19 17:31:36 2022 start with 185330279 relations Wed Oct 19 17:36:46 2022 pruned 7056644 relations Wed Oct 19 17:36:48 2022 memory use: 5219.8 MB Wed Oct 19 17:36:48 2022 distribution of cycle lengths: Wed Oct 19 17:36:48 2022 1 relations: 1904035 Wed Oct 19 17:36:48 2022 2 relations: 1922937 Wed Oct 19 17:36:48 2022 3 relations: 1945629 Wed Oct 19 17:36:48 2022 4 relations: 1857119 Wed Oct 19 17:36:48 2022 5 relations: 1820518 Wed Oct 19 17:36:48 2022 6 relations: 1747329 Wed Oct 19 17:36:48 2022 7 relations: 1662609 Wed Oct 19 17:36:48 2022 8 relations: 1563709 Wed Oct 19 17:36:48 2022 9 relations: 1448196 Wed Oct 19 17:36:48 2022 10+ relations: 7555055 Wed Oct 19 17:36:48 2022 heaviest cycle: 28 relations Wed Oct 19 17:37:21 2022 RelProcTime: 4467 Wed Oct 19 17:37:21 2022 elapsed time 01:14:28 Wed Oct 19 18:05:07 2022 Wed Oct 19 18:05:07 2022 Wed Oct 19 18:05:07 2022 Msieve v. 1.54 (SVN unknown) Wed Oct 19 18:05:07 2022 random seeds: 751f40b3 cbf0c7af Wed Oct 19 18:05:07 2022 MPI process 0 of 4 Wed Oct 19 18:05:07 2022 Using 16 OpenMP threads Wed Oct 19 18:05:07 2022 factoring 4183478623038160915992189999414364307225341758604915677119612696108500563379785953759320827111293236061658766426345246503564126881965925521407267141369652514602141507079292053221740295090231 (190 digits) Wed Oct 19 18:05:08 2022 no P-1/P+1/ECM available, skipping Wed Oct 19 18:05:08 2022 commencing number field sieve (190-digit input) Wed Oct 19 18:05:08 2022 R0: 4318114567396436564035293097707728087552248849 Wed Oct 19 18:05:08 2022 R1: -58149737003040059690390169 Wed Oct 19 18:05:08 2022 A0: 7 Wed Oct 19 18:05:08 2022 A1: 0 Wed Oct 19 18:05:08 2022 A2: 0 Wed Oct 19 18:05:08 2022 A3: 0 Wed Oct 19 18:05:08 2022 A4: 0 Wed Oct 19 18:05:08 2022 A5: 0 Wed Oct 19 18:05:08 2022 A6: 3 Wed Oct 19 18:05:08 2022 skew 1.15, size 2.248e-13, alpha 0.227, combined = 3.679e-14 rroots = 0 Wed Oct 19 18:05:08 2022 Wed Oct 19 18:05:08 2022 commencing linear algebra Wed Oct 19 18:05:08 2022 using VBITS=256 Wed Oct 19 18:05:08 2022 initialized process (0,0) of 2 x 2 grid Wed Oct 19 18:05:10 2022 read 23427136 cycles Wed Oct 19 18:05:45 2022 cycles contain 79768152 unique relations Wed Oct 19 18:06:50 2022 read 79768152 relations Wed Oct 19 18:07:04 2022 using 20 quadratic characters above 4294917295 Wed Oct 19 18:07:21 2022 building initial matrix Wed Oct 19 18:19:52 2022 memory use: 10554.0 MB Wed Oct 19 18:20:05 2022 read 23427136 cycles Wed Oct 19 18:20:08 2022 matrix is 23426955 x 23427136 (10243.6 MB) with weight 2994141100 (127.81/col) Wed Oct 19 18:20:08 2022 sparse part has weight 2427605105 (103.62/col) Wed Oct 19 18:22:54 2022 filtering completed in 2 passes Wed Oct 19 18:22:58 2022 matrix is 23424520 x 23424696 (10243.4 MB) with weight 2994048200 (127.82/col) Wed Oct 19 18:22:58 2022 sparse part has weight 2427573350 (103.63/col) Wed Oct 19 18:23:47 2022 matrix starts at (0, 0) Wed Oct 19 18:23:48 2022 matrix is 11712380 x 11712331 (3004.0 MB) with weight 941883016 (80.42/col) Wed Oct 19 18:23:48 2022 sparse part has weight 658644494 (56.24/col) Wed Oct 19 18:23:48 2022 saving the first 240 matrix rows for later Wed Oct 19 18:23:49 2022 matrix includes 256 packed rows Wed Oct 19 18:23:53 2022 matrix is 11712140 x 11712331 (2678.2 MB) with weight 555280261 (47.41/col) Wed Oct 19 18:23:53 2022 sparse part has weight 514671248 (43.94/col) Wed Oct 19 18:23:53 2022 using GPU 0 (NVIDIA A100-SXM4-40GB) Wed Oct 19 18:23:53 2022 selected card has CUDA arch 8.0 Wed Oct 19 18:24:16 2022 commencing Lanczos iteration Wed Oct 19 18:24:17 2022 memory use: 6160.6 MB Wed Oct 19 18:24:29 2022 linear algebra at 0.1%, ETA 2h32m Wed Oct 19 18:24:48 2022 checking every 140000 dimensions, checkpointing every 8960000 dimensions Wed Oct 19 21:04:04 2022 lanczos halted after 91777 iterations (dim = 23424274) Wed Oct 19 21:05:05 2022 recovered 36 nontrivial dependencies Wed Oct 19 21:05:05 2022 BLanczosTime: 10797 Wed Oct 19 21:05:05 2022 elapsed time 02:59:58 Wed Oct 19 23:50:37 2022 Wed Oct 19 23:50:37 2022 Wed Oct 19 23:50:37 2022 Msieve v. 1.54 (SVN unknown) Wed Oct 19 23:50:37 2022 random seeds: 9e1e8ca4 0d3d48b0 Wed Oct 19 23:50:37 2022 MPI process 0 of 1 Wed Oct 19 23:50:37 2022 Using 8 OpenMP threads Wed Oct 19 23:50:37 2022 factoring 4183478623038160915992189999414364307225341758604915677119612696108500563379785953759320827111293236061658766426345246503564126881965925521407267141369652514602141507079292053221740295090231 (190 digits) Wed Oct 19 23:50:38 2022 no P-1/P+1/ECM available, skipping Wed Oct 19 23:50:38 2022 commencing number field sieve (190-digit input) Wed Oct 19 23:50:38 2022 R0: 4318114567396436564035293097707728087552248849 Wed Oct 19 23:50:38 2022 R1: -58149737003040059690390169 Wed Oct 19 23:50:38 2022 A0: 7 Wed Oct 19 23:50:38 2022 A1: 0 Wed Oct 19 23:50:38 2022 A2: 0 Wed Oct 19 23:50:38 2022 A3: 0 Wed Oct 19 23:50:38 2022 A4: 0 Wed Oct 19 23:50:38 2022 A5: 0 Wed Oct 19 23:50:38 2022 A6: 3 Wed Oct 19 23:50:38 2022 skew 1.15, size 2.248e-13, alpha 0.227, combined = 3.679e-14 rroots = 0 Wed Oct 19 23:50:38 2022 Wed Oct 19 23:50:38 2022 commencing square root phase Wed Oct 19 23:50:38 2022 reading relations for dependency 1 Wed Oct 19 23:50:40 2022 read 11711991 cycles Wed Oct 19 23:51:02 2022 cycles contain 39894038 unique relations Wed Oct 19 23:52:01 2022 read 39894038 relations Wed Oct 19 23:54:31 2022 multiplying 39894038 relations Wed Oct 19 23:59:09 2022 multiply complete, coefficients have about 1116.70 million bits Wed Oct 19 23:59:12 2022 initial square root is modulo 102217 Thu Oct 20 00:07:17 2022 sqrtTime: 999 Thu Oct 20 00:07:17 2022 p88 factor: 2984249007543213896515338148405652712354117610696956370927673143719123519901498149260617 Thu Oct 20 00:07:17 2022 p103 factor: 1401853066705788753667820937654260521238820932647095459844998357014331946847097127013234093653445366143 Thu Oct 20 00:07:17 2022 elapsed time 00:16:40