Wed Feb 26 21:03:56 2025 Wed Feb 26 21:03:56 2025 Wed Feb 26 21:03:56 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Feb 26 21:03:56 2025 random seeds: 43f97cf8 f1ce1e32 Wed Feb 26 21:03:56 2025 MPI process 0 of 1 Wed Feb 26 21:03:56 2025 Using 32 OpenMP threads Wed Feb 26 21:03:56 2025 factoring 137610058431266240762677458844541384105449819477713476988999552157677680343256409185262443501503371450048173584361493389831352336298962228281116288272222566279001631007 (168 digits) Wed Feb 26 21:03:56 2025 searching for 15-digit factors Wed Feb 26 21:03:57 2025 commencing number field sieve (168-digit input) Wed Feb 26 21:03:57 2025 R0: -329780005472466766067168666343523 Wed Feb 26 21:03:57 2025 R1: 8862136948168289 Wed Feb 26 21:03:57 2025 A0: -51385772485451899523399457644935395218256 Wed Feb 26 21:03:57 2025 A1: 6882474479500642714746639608994688 Wed Feb 26 21:03:57 2025 A2: 973425987921361464510695830 Wed Feb 26 21:03:57 2025 A3: -55205743600787091569 Wed Feb 26 21:03:57 2025 A4: -4796566605180 Wed Feb 26 21:03:57 2025 A5: 35280 Wed Feb 26 21:03:57 2025 skew 18239489.10, size 2.735e-16, alpha -6.719, combined = 5.268e-13 rroots = 3 Wed Feb 26 21:03:57 2025 Wed Feb 26 21:03:57 2025 commencing relation filtering Wed Feb 26 21:03:57 2025 setting target matrix density to 110.0 Wed Feb 26 21:03:57 2025 estimated available RAM is 257736.5 MB Wed Feb 26 21:03:57 2025 commencing duplicate removal, pass 1 Wed Feb 26 21:04:10 2025 error -1 reading relation 5058848 Wed Feb 26 21:06:44 2025 error -1 reading relation 65536777 Wed Feb 26 21:06:55 2025 error -1 reading relation 70384009 Wed Feb 26 21:07:05 2025 error -1 reading relation 74681612 Wed Feb 26 21:07:57 2025 error -1 reading relation 95816831 Wed Feb 26 21:08:38 2025 error -1 reading relation 113308409 Wed Feb 26 21:11:23 2025 error -6 reading relation 190888762 Wed Feb 26 21:11:25 2025 error -1 reading relation 191713013 Wed Feb 26 21:11:39 2025 error -1 reading relation 199460113 Wed Feb 26 21:11:56 2025 error -15 reading relation 210395435 Wed Feb 26 21:13:14 2025 error -1 reading relation 241552217 Wed Feb 26 21:13:44 2025 error -1 reading relation 252248750 Wed Feb 26 21:13:58 2025 error -1 reading relation 257466638 Wed Feb 26 21:14:15 2025 error -1 reading relation 264398823 Wed Feb 26 21:14:15 2025 error -1 reading relation 264430282 Wed Feb 26 21:14:23 2025 skipped 1 relations with composite factors Wed Feb 26 21:14:23 2025 skipped 165 malformed relations Wed Feb 26 21:14:23 2025 found 56414940 hash collisions in 267758264 relations Wed Feb 26 21:14:53 2025 commencing duplicate removal, pass 2 Wed Feb 26 21:22:21 2025 found 56831001 duplicates and 210927263 unique relations Wed Feb 26 21:22:21 2025 memory use: 1449.5 MB Wed Feb 26 21:22:21 2025 reading ideals above 720000 Wed Feb 26 21:22:21 2025 commencing singleton removal, initial pass Wed Feb 26 21:44:39 2025 memory use: 6024.0 MB Wed Feb 26 21:44:40 2025 reading all ideals from disk Wed Feb 26 21:44:46 2025 memory use: 9738.3 MB Wed Feb 26 21:45:25 2025 keeping 218776767 ideals with weight <= 200, target excess is 1035096 Wed Feb 26 21:46:15 2025 commencing in-memory singleton removal Wed Feb 26 21:46:19 2025 begin with 210927263 relations and 218776767 unique ideals Wed Feb 26 21:46:39 2025 reduce to 96204343 relations and 87434785 ideals in 20 passes Wed Feb 26 21:46:39 2025 max relations containing the same ideal: 127 Wed Feb 26 21:47:52 2025 removing 8760307 relations and 7760307 ideals in 1000000 cliques Wed Feb 26 21:47:57 2025 commencing in-memory singleton removal Wed Feb 26 21:47:59 2025 begin with 87444036 relations and 87434785 unique ideals Wed Feb 26 21:48:06 2025 reduce to 86773150 relations and 78993675 ideals in 11 passes Wed Feb 26 21:48:06 2025 max relations containing the same ideal: 115 Wed Feb 26 21:48:45 2025 removing 6562244 relations and 5562244 ideals in 1000000 cliques Wed Feb 26 21:48:48 2025 commencing in-memory singleton removal Wed Feb 26 21:48:49 2025 begin with 80210906 relations and 78993675 unique ideals Wed Feb 26 21:48:54 2025 reduce to 79778297 relations and 72993409 ideals in 10 passes Wed Feb 26 21:48:54 2025 max relations containing the same ideal: 109 Wed Feb 26 21:49:25 2025 removing 5892085 relations and 4892085 ideals in 1000000 cliques Wed Feb 26 21:49:27 2025 commencing in-memory singleton removal Wed Feb 26 21:49:28 2025 begin with 73886212 relations and 72993409 unique ideals Wed Feb 26 21:49:33 2025 reduce to 73501896 relations and 67712259 ideals in 12 passes Wed Feb 26 21:49:33 2025 max relations containing the same ideal: 103 Wed Feb 26 21:50:31 2025 removing 5547991 relations and 4547991 ideals in 1000000 cliques Wed Feb 26 21:50:34 2025 commencing in-memory singleton removal Wed Feb 26 21:50:36 2025 begin with 67953905 relations and 67712259 unique ideals Wed Feb 26 21:50:41 2025 reduce to 67582502 relations and 62788160 ideals in 9 passes Wed Feb 26 21:50:41 2025 max relations containing the same ideal: 100 Wed Feb 26 21:51:31 2025 removing 5355143 relations and 4355143 ideals in 1000000 cliques Wed Feb 26 21:51:34 2025 commencing in-memory singleton removal Wed Feb 26 21:51:35 2025 begin with 62227359 relations and 62788160 unique ideals Wed Feb 26 21:51:39 2025 reduce to 61848927 relations and 58049336 ideals in 8 passes Wed Feb 26 21:51:39 2025 max relations containing the same ideal: 93 Wed Feb 26 21:52:22 2025 removing 5243269 relations and 4243269 ideals in 1000000 cliques Wed Feb 26 21:52:25 2025 commencing in-memory singleton removal Wed Feb 26 21:52:25 2025 begin with 56605658 relations and 58049336 unique ideals Wed Feb 26 21:52:29 2025 reduce to 56203044 relations and 53397601 ideals in 9 passes Wed Feb 26 21:52:29 2025 max relations containing the same ideal: 88 Wed Feb 26 21:53:06 2025 removing 5194350 relations and 4194350 ideals in 1000000 cliques Wed Feb 26 21:53:09 2025 commencing in-memory singleton removal Wed Feb 26 21:53:10 2025 begin with 51008694 relations and 53397601 unique ideals Wed Feb 26 21:53:14 2025 reduce to 50570470 relations and 48757999 ideals in 9 passes Wed Feb 26 21:53:14 2025 max relations containing the same ideal: 79 Wed Feb 26 21:53:49 2025 removing 3529086 relations and 2917327 ideals in 611759 cliques Wed Feb 26 21:53:51 2025 commencing in-memory singleton removal Wed Feb 26 21:53:52 2025 begin with 47041384 relations and 48757999 unique ideals Wed Feb 26 21:53:55 2025 reduce to 46826202 relations and 45623082 ideals in 9 passes Wed Feb 26 21:53:55 2025 max relations containing the same ideal: 75 Wed Feb 26 21:54:33 2025 relations with 0 large ideals: 3672 Wed Feb 26 21:54:33 2025 relations with 1 large ideals: 26305 Wed Feb 26 21:54:33 2025 relations with 2 large ideals: 362815 Wed Feb 26 21:54:33 2025 relations with 3 large ideals: 2112331 Wed Feb 26 21:54:33 2025 relations with 4 large ideals: 6574628 Wed Feb 26 21:54:33 2025 relations with 5 large ideals: 11956738 Wed Feb 26 21:54:33 2025 relations with 6 large ideals: 13146030 Wed Feb 26 21:54:33 2025 relations with 7+ large ideals: 12643683 Wed Feb 26 21:54:33 2025 commencing 2-way merge Wed Feb 26 21:55:19 2025 reduce to 27548766 relation sets and 26345646 unique ideals Wed Feb 26 21:55:19 2025 commencing full merge Wed Feb 26 22:08:11 2025 memory use: 2985.3 MB Wed Feb 26 22:08:16 2025 found 12082055 cycles, need 12017846 Wed Feb 26 22:08:21 2025 weight of 12017846 cycles is about 1322311051 (110.03/cycle) Wed Feb 26 22:08:21 2025 distribution of cycle lengths: Wed Feb 26 22:08:21 2025 1 relations: 1129955 Wed Feb 26 22:08:21 2025 2 relations: 948115 Wed Feb 26 22:08:21 2025 3 relations: 939146 Wed Feb 26 22:08:21 2025 4 relations: 886980 Wed Feb 26 22:08:21 2025 5 relations: 851823 Wed Feb 26 22:08:21 2025 6 relations: 806363 Wed Feb 26 22:08:21 2025 7 relations: 763858 Wed Feb 26 22:08:21 2025 8 relations: 712250 Wed Feb 26 22:08:21 2025 9 relations: 653593 Wed Feb 26 22:08:21 2025 10+ relations: 4325763 Wed Feb 26 22:08:21 2025 heaviest cycle: 28 relations Wed Feb 26 22:08:27 2025 commencing cycle optimization Wed Feb 26 22:09:11 2025 start with 98705604 relations Wed Feb 26 22:15:06 2025 pruned 3181421 relations Wed Feb 26 22:15:09 2025 memory use: 2896.3 MB Wed Feb 26 22:15:09 2025 distribution of cycle lengths: Wed Feb 26 22:15:09 2025 1 relations: 1129955 Wed Feb 26 22:15:09 2025 2 relations: 971450 Wed Feb 26 22:15:09 2025 3 relations: 973142 Wed Feb 26 22:15:09 2025 4 relations: 913961 Wed Feb 26 22:15:09 2025 5 relations: 880985 Wed Feb 26 22:15:09 2025 6 relations: 830279 Wed Feb 26 22:15:09 2025 7 relations: 786332 Wed Feb 26 22:15:09 2025 8 relations: 728564 Wed Feb 26 22:15:09 2025 9 relations: 667943 Wed Feb 26 22:15:09 2025 10+ relations: 4135235 Wed Feb 26 22:15:09 2025 heaviest cycle: 28 relations Wed Feb 26 22:15:38 2025 RelProcTime: 4301 Wed Feb 26 22:15:39 2025 Wed Feb 26 22:15:39 2025 commencing linear algebra Wed Feb 26 22:15:39 2025 using VBITS=256 Wed Feb 26 22:15:39 2025 stopping after matrix build Wed Feb 26 22:15:39 2025 initialized process (0,0) of 1 x 1 grid Wed Feb 26 22:15:40 2025 read 12017846 cycles Wed Feb 26 22:16:00 2025 cycles contain 45821745 unique relations Wed Feb 26 22:21:17 2025 read 45821745 relations Wed Feb 26 22:21:23 2025 using 20 quadratic characters above 4294917295 Wed Feb 26 22:21:31 2025 building initial matrix Wed Feb 26 22:31:23 2025 memory use: 6043.8 MB Wed Feb 26 22:31:33 2025 read 12017846 cycles Wed Feb 26 22:31:35 2025 matrix is 12017666 x 12017846 (5310.1 MB) with weight 1600896164 (133.21/col) Wed Feb 26 22:31:35 2025 sparse part has weight 1247801925 (103.83/col) Wed Feb 26 22:39:06 2025 filtering completed in 2 passes Wed Feb 26 22:39:09 2025 matrix is 12014876 x 12015056 (5309.9 MB) with weight 1600770021 (133.23/col) Wed Feb 26 22:39:09 2025 sparse part has weight 1247764756 (103.85/col) Wed Feb 26 22:40:18 2025 BLanczosTime: 1479 Wed Feb 26 22:40:18 2025 elapsed time 01:36:22 Thu Feb 27 01:26:25 2025 Thu Feb 27 01:26:25 2025 Thu Feb 27 01:26:25 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Feb 27 01:26:25 2025 random seeds: 0f3f4570 1444f7a2 Thu Feb 27 01:26:25 2025 MPI process 0 of 1 Thu Feb 27 01:26:25 2025 Using 64 OpenMP threads Thu Feb 27 01:26:25 2025 factoring 137610058431266240762677458844541384105449819477713476988999552157677680343256409185262443501503371450048173584361493389831352336298962228281116288272222566279001631007 (168 digits) Thu Feb 27 01:26:25 2025 searching for 15-digit factors Thu Feb 27 01:26:26 2025 commencing number field sieve (168-digit input) Thu Feb 27 01:26:26 2025 R0: -329780005472466766067168666343523 Thu Feb 27 01:26:26 2025 R1: 8862136948168289 Thu Feb 27 01:26:26 2025 A0: -51385772485451899523399457644935395218256 Thu Feb 27 01:26:26 2025 A1: 6882474479500642714746639608994688 Thu Feb 27 01:26:26 2025 A2: 973425987921361464510695830 Thu Feb 27 01:26:26 2025 A3: -55205743600787091569 Thu Feb 27 01:26:26 2025 A4: -4796566605180 Thu Feb 27 01:26:26 2025 A5: 35280 Thu Feb 27 01:26:26 2025 skew 18239489.10, size 2.735e-16, alpha -6.719, combined = 5.268e-13 rroots = 3 Thu Feb 27 01:26:26 2025 Thu Feb 27 01:26:26 2025 commencing linear algebra Thu Feb 27 01:26:26 2025 using VBITS=256 Thu Feb 27 01:26:26 2025 skipping matrix build Thu Feb 27 01:26:26 2025 initialized process (0,0) of 1 x 1 grid Thu Feb 27 01:26:31 2025 matrix starts at (0, 0) Thu Feb 27 01:26:33 2025 matrix is 12014876 x 12015056 (5309.9 MB) with weight 1600770021 (133.23/col) Thu Feb 27 01:26:33 2025 sparse part has weight 1247764756 (103.85/col) Thu Feb 27 01:26:33 2025 saving the first 240 matrix rows for later Thu Feb 27 01:26:35 2025 matrix includes 256 packed rows Thu Feb 27 01:26:39 2025 matrix is 12014636 x 12015056 (4831.1 MB) with weight 1141528295 (95.01/col) Thu Feb 27 01:26:39 2025 sparse part has weight 1074206536 (89.41/col) Thu Feb 27 01:26:39 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Feb 27 01:27:03 2025 commencing Lanczos iteration (64 threads) Thu Feb 27 01:27:03 2025 memory use: 7151.0 MB Thu Feb 27 01:29:49 2025 linear algebra at 0.3%, ETA 17h42m Thu Feb 27 01:32:22 2025 checking every 10000 dimensions, checkpointing every 880000 dimensions Thu Feb 27 12:21:35 2025 lanczos halted after 47074 iterations (dim = 12014636) Thu Feb 27 12:22:16 2025 recovered 31 nontrivial dependencies Thu Feb 27 12:22:17 2025 BLanczosTime: 39351 Thu Feb 27 12:22:17 2025 Thu Feb 27 12:22:17 2025 commencing square root phase Thu Feb 27 12:22:17 2025 handling dependencies 1 to 64 Thu Feb 27 12:22:17 2025 reading relations for dependency 1 Thu Feb 27 12:22:18 2025 read 6006585 cycles Thu Feb 27 12:22:28 2025 cycles contain 22907024 unique relations Thu Feb 27 12:26:13 2025 read 22907024 relations Thu Feb 27 12:27:40 2025 multiplying 22907024 relations Thu Feb 27 12:29:58 2025 multiply complete, coefficients have about 1227.59 million bits Thu Feb 27 12:30:02 2025 initial square root is modulo 321187 Thu Feb 27 12:38:44 2025 GCD is 1, no factor found Thu Feb 27 12:38:44 2025 reading relations for dependency 2 Thu Feb 27 12:38:47 2025 read 6007756 cycles Thu Feb 27 12:39:12 2025 cycles contain 22907120 unique relations Thu Feb 27 12:44:15 2025 read 22907120 relations Thu Feb 27 12:46:45 2025 multiplying 22907120 relations Thu Feb 27 12:50:52 2025 multiply complete, coefficients have about 1227.59 million bits Thu Feb 27 12:50:59 2025 initial square root is modulo 321187 Thu Feb 27 13:03:47 2025 sqrtTime: 2490 Thu Feb 27 13:03:47 2025 p82 factor: 5608106448045774660903156912108868155404484674750752018837722227163370701750425419 Thu Feb 27 13:03:47 2025 p86 factor: 24537704429490357573732638676644951575989824436221295916237121257388329951369776000253 Thu Feb 27 13:03:47 2025 elapsed time 11:37:22