Sun Mar 9 21:56:01 2025 Sun Mar 9 21:56:01 2025 Sun Mar 9 21:56:01 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Mar 9 21:56:01 2025 random seeds: f8233ce6 ba410412 Sun Mar 9 21:56:01 2025 MPI process 0 of 1 Sun Mar 9 21:56:01 2025 Using 32 OpenMP threads Sun Mar 9 21:56:01 2025 factoring 88009851148538008079188159076286894622976093404581785092680108041982582926297551989110697762796552496608603382192015772442554278198919449899726226479974347532846097 (164 digits) Sun Mar 9 21:56:02 2025 searching for 15-digit factors Sun Mar 9 21:56:02 2025 commencing number field sieve (164-digit input) Sun Mar 9 21:56:02 2025 R0: -67458734254687397240539628501459 Sun Mar 9 21:56:02 2025 R1: 168104543292753559 Sun Mar 9 21:56:02 2025 A0: 403073824854343074277368795825593688144 Sun Mar 9 21:56:02 2025 A1: -61424986398331314268162846256210 Sun Mar 9 21:56:02 2025 A2: 268554226496989292305717359 Sun Mar 9 21:56:02 2025 A3: -25079487086911549110 Sun Mar 9 21:56:02 2025 A4: -11860566533680 Sun Mar 9 21:56:02 2025 A5: 63000 Sun Mar 9 21:56:02 2025 skew 6870531.79, size 5.303e-16, alpha -6.981, combined = 7.764e-13 rroots = 3 Sun Mar 9 21:56:02 2025 Sun Mar 9 21:56:02 2025 commencing relation filtering Sun Mar 9 21:56:02 2025 setting target matrix density to 130.0 Sun Mar 9 21:56:02 2025 estimated available RAM is 257736.5 MB Sun Mar 9 21:56:02 2025 commencing duplicate removal, pass 1 Sun Mar 9 21:57:13 2025 error -1 reading relation 48227563 Sun Mar 9 21:57:24 2025 error -1 reading relation 55850497 Sun Mar 9 21:57:24 2025 error -1 reading relation 55852182 Sun Mar 9 21:57:25 2025 error -1 reading relation 56529552 Sun Mar 9 21:57:42 2025 error -1 reading relation 68154343 Sun Mar 9 21:59:19 2025 error -1 reading relation 134881289 Sun Mar 9 21:59:21 2025 error -15 reading relation 136118780 Sun Mar 9 21:59:21 2025 error -1 reading relation 136118781 Sun Mar 9 21:59:25 2025 error -1 reading relation 138906568 Sun Mar 9 21:59:27 2025 error -1 reading relation 140285606 Sun Mar 9 21:59:40 2025 error -1 reading relation 149133851 Sun Mar 9 22:02:50 2025 skipped 134 malformed relations Sun Mar 9 22:02:50 2025 found 52144558 hash collisions in 277571997 relations Sun Mar 9 22:03:12 2025 added 121827 free relations Sun Mar 9 22:03:12 2025 commencing duplicate removal, pass 2 Sun Mar 9 22:08:31 2025 found 54553022 duplicates and 223140802 unique relations Sun Mar 9 22:08:31 2025 memory use: 1705.5 MB Sun Mar 9 22:08:32 2025 reading ideals above 720000 Sun Mar 9 22:08:32 2025 commencing singleton removal, initial pass Sun Mar 9 22:23:16 2025 memory use: 6024.0 MB Sun Mar 9 22:23:17 2025 reading all ideals from disk Sun Mar 9 22:23:22 2025 memory use: 10146.3 MB Sun Mar 9 22:23:51 2025 keeping 219761935 ideals with weight <= 200, target excess is 1102193 Sun Mar 9 22:24:30 2025 commencing in-memory singleton removal Sun Mar 9 22:24:34 2025 begin with 223140802 relations and 219761935 unique ideals Sun Mar 9 22:24:51 2025 reduce to 113083210 relations and 94814701 ideals in 16 passes Sun Mar 9 22:24:51 2025 max relations containing the same ideal: 134 Sun Mar 9 22:25:32 2025 removing 12371026 relations and 10371026 ideals in 2000000 cliques Sun Mar 9 22:25:36 2025 commencing in-memory singleton removal Sun Mar 9 22:25:38 2025 begin with 100712184 relations and 94814701 unique ideals Sun Mar 9 22:25:45 2025 reduce to 99665275 relations and 83372873 ideals in 9 passes Sun Mar 9 22:25:45 2025 max relations containing the same ideal: 121 Sun Mar 9 22:26:31 2025 removing 9396368 relations and 7396368 ideals in 2000000 cliques Sun Mar 9 22:26:35 2025 commencing in-memory singleton removal Sun Mar 9 22:26:36 2025 begin with 90268907 relations and 83372873 unique ideals Sun Mar 9 22:26:42 2025 reduce to 89552778 relations and 75245881 ideals in 10 passes Sun Mar 9 22:26:42 2025 max relations containing the same ideal: 114 Sun Mar 9 22:27:17 2025 removing 8514990 relations and 6514990 ideals in 2000000 cliques Sun Mar 9 22:27:21 2025 commencing in-memory singleton removal Sun Mar 9 22:27:23 2025 begin with 81037788 relations and 75245881 unique ideals Sun Mar 9 22:27:27 2025 reduce to 80382694 relations and 68061984 ideals in 9 passes Sun Mar 9 22:27:27 2025 max relations containing the same ideal: 107 Sun Mar 9 22:27:56 2025 removing 8086107 relations and 6086107 ideals in 2000000 cliques Sun Mar 9 22:27:59 2025 commencing in-memory singleton removal Sun Mar 9 22:28:00 2025 begin with 72296587 relations and 68061984 unique ideals Sun Mar 9 22:28:05 2025 reduce to 71644478 relations and 61308807 ideals in 10 passes Sun Mar 9 22:28:05 2025 max relations containing the same ideal: 99 Sun Mar 9 22:28:33 2025 removing 7847524 relations and 5847524 ideals in 2000000 cliques Sun Mar 9 22:28:36 2025 commencing in-memory singleton removal Sun Mar 9 22:28:37 2025 begin with 63796954 relations and 61308807 unique ideals Sun Mar 9 22:28:40 2025 reduce to 63113082 relations and 54760320 ideals in 9 passes Sun Mar 9 22:28:40 2025 max relations containing the same ideal: 91 Sun Mar 9 22:29:03 2025 removing 7717180 relations and 5717180 ideals in 2000000 cliques Sun Mar 9 22:29:06 2025 commencing in-memory singleton removal Sun Mar 9 22:29:07 2025 begin with 55395902 relations and 54760320 unique ideals Sun Mar 9 22:29:10 2025 reduce to 54641180 relations and 48266992 ideals in 9 passes Sun Mar 9 22:29:10 2025 max relations containing the same ideal: 82 Sun Mar 9 22:29:29 2025 removing 7680546 relations and 5680546 ideals in 2000000 cliques Sun Mar 9 22:29:32 2025 commencing in-memory singleton removal Sun Mar 9 22:29:33 2025 begin with 46960634 relations and 48266992 unique ideals Sun Mar 9 22:29:35 2025 reduce to 46088746 relations and 41686317 ideals in 9 passes Sun Mar 9 22:29:35 2025 max relations containing the same ideal: 73 Sun Mar 9 22:29:52 2025 removing 7721834 relations and 5721834 ideals in 2000000 cliques Sun Mar 9 22:29:54 2025 commencing in-memory singleton removal Sun Mar 9 22:29:55 2025 begin with 38366912 relations and 41686317 unique ideals Sun Mar 9 22:29:57 2025 reduce to 37293928 relations and 34849983 ideals in 9 passes Sun Mar 9 22:29:57 2025 max relations containing the same ideal: 65 Sun Mar 9 22:30:10 2025 removing 5216784 relations and 4051383 ideals in 1165401 cliques Sun Mar 9 22:30:12 2025 commencing in-memory singleton removal Sun Mar 9 22:30:13 2025 begin with 32077144 relations and 34849983 unique ideals Sun Mar 9 22:30:14 2025 reduce to 31488857 relations and 30193828 ideals in 8 passes Sun Mar 9 22:30:14 2025 max relations containing the same ideal: 57 Sun Mar 9 22:30:26 2025 removing 156285 relations and 139800 ideals in 16485 cliques Sun Mar 9 22:30:27 2025 commencing in-memory singleton removal Sun Mar 9 22:30:27 2025 begin with 31332572 relations and 30193828 unique ideals Sun Mar 9 22:30:28 2025 reduce to 31332094 relations and 30053550 ideals in 5 passes Sun Mar 9 22:30:28 2025 max relations containing the same ideal: 57 Sun Mar 9 22:30:31 2025 relations with 0 large ideals: 3936 Sun Mar 9 22:30:31 2025 relations with 1 large ideals: 45183 Sun Mar 9 22:30:31 2025 relations with 2 large ideals: 521643 Sun Mar 9 22:30:31 2025 relations with 3 large ideals: 2497390 Sun Mar 9 22:30:31 2025 relations with 4 large ideals: 6264887 Sun Mar 9 22:30:31 2025 relations with 5 large ideals: 9020618 Sun Mar 9 22:30:31 2025 relations with 6 large ideals: 7739690 Sun Mar 9 22:30:31 2025 relations with 7+ large ideals: 5238747 Sun Mar 9 22:30:31 2025 commencing 2-way merge Sun Mar 9 22:30:47 2025 reduce to 18434063 relation sets and 17155519 unique ideals Sun Mar 9 22:30:47 2025 commencing full merge Sun Mar 9 22:35:35 2025 memory use: 1991.8 MB Sun Mar 9 22:35:36 2025 found 7720243 cycles, need 7711719 Sun Mar 9 22:35:37 2025 weight of 7711719 cycles is about 1003191307 (130.09/cycle) Sun Mar 9 22:35:37 2025 distribution of cycle lengths: Sun Mar 9 22:35:37 2025 1 relations: 501122 Sun Mar 9 22:35:37 2025 2 relations: 480587 Sun Mar 9 22:35:37 2025 3 relations: 487726 Sun Mar 9 22:35:37 2025 4 relations: 480418 Sun Mar 9 22:35:37 2025 5 relations: 481646 Sun Mar 9 22:35:37 2025 6 relations: 473910 Sun Mar 9 22:35:37 2025 7 relations: 468716 Sun Mar 9 22:35:37 2025 8 relations: 453427 Sun Mar 9 22:35:38 2025 9 relations: 434635 Sun Mar 9 22:35:38 2025 10+ relations: 3449532 Sun Mar 9 22:35:38 2025 heaviest cycle: 28 relations Sun Mar 9 22:35:39 2025 commencing cycle optimization Sun Mar 9 22:35:53 2025 start with 73960165 relations Sun Mar 9 22:38:08 2025 pruned 3052632 relations Sun Mar 9 22:38:08 2025 memory use: 2013.1 MB Sun Mar 9 22:38:08 2025 distribution of cycle lengths: Sun Mar 9 22:38:08 2025 1 relations: 501122 Sun Mar 9 22:38:08 2025 2 relations: 492307 Sun Mar 9 22:38:08 2025 3 relations: 506544 Sun Mar 9 22:38:08 2025 4 relations: 497555 Sun Mar 9 22:38:08 2025 5 relations: 502669 Sun Mar 9 22:38:08 2025 6 relations: 493529 Sun Mar 9 22:38:08 2025 7 relations: 489576 Sun Mar 9 22:38:08 2025 8 relations: 473252 Sun Mar 9 22:38:08 2025 9 relations: 453160 Sun Mar 9 22:38:08 2025 10+ relations: 3302005 Sun Mar 9 22:38:08 2025 heaviest cycle: 28 relations Sun Mar 9 22:38:18 2025 RelProcTime: 2536 Sun Mar 9 22:38:18 2025 Sun Mar 9 22:38:18 2025 commencing linear algebra Sun Mar 9 22:38:18 2025 using VBITS=256 Sun Mar 9 22:38:18 2025 stopping after matrix build Sun Mar 9 22:38:18 2025 initialized process (0,0) of 1 x 1 grid Sun Mar 9 22:38:18 2025 read 7711719 cycles Sun Mar 9 22:38:31 2025 cycles contain 30392023 unique relations Sun Mar 9 22:42:35 2025 read 30392023 relations Sun Mar 9 22:42:38 2025 using 20 quadratic characters above 4294917295 Sun Mar 9 22:42:42 2025 building initial matrix Sun Mar 9 22:47:45 2025 memory use: 4069.4 MB Sun Mar 9 22:47:51 2025 read 7711719 cycles Sun Mar 9 22:47:52 2025 matrix is 7711541 x 7711719 (3909.2 MB) with weight 1179904159 (153.00/col) Sun Mar 9 22:47:52 2025 sparse part has weight 932243225 (120.89/col) Sun Mar 9 22:49:17 2025 filtering completed in 2 passes Sun Mar 9 22:49:18 2025 matrix is 7711321 x 7711499 (3909.2 MB) with weight 1179894017 (153.00/col) Sun Mar 9 22:49:18 2025 sparse part has weight 932240725 (120.89/col) Sun Mar 9 22:50:00 2025 BLanczosTime: 702 Sun Mar 9 22:50:00 2025 elapsed time 00:53:59 Mon Mar 10 03:27:07 2025 Mon Mar 10 03:27:07 2025 Mon Mar 10 03:27:07 2025 Msieve v. 1.54 (SVN Unversioned directory) Mon Mar 10 03:27:07 2025 random seeds: 92280683 caef9216 Mon Mar 10 03:27:07 2025 MPI process 0 of 1 Mon Mar 10 03:27:07 2025 Using 64 OpenMP threads Mon Mar 10 03:27:07 2025 factoring 88009851148538008079188159076286894622976093404581785092680108041982582926297551989110697762796552496608603382192015772442554278198919449899726226479974347532846097 (164 digits) Mon Mar 10 03:27:08 2025 searching for 15-digit factors Mon Mar 10 03:27:08 2025 commencing number field sieve (164-digit input) Mon Mar 10 03:27:08 2025 R0: -67458734254687397240539628501459 Mon Mar 10 03:27:08 2025 R1: 168104543292753559 Mon Mar 10 03:27:08 2025 A0: 403073824854343074277368795825593688144 Mon Mar 10 03:27:08 2025 A1: -61424986398331314268162846256210 Mon Mar 10 03:27:08 2025 A2: 268554226496989292305717359 Mon Mar 10 03:27:08 2025 A3: -25079487086911549110 Mon Mar 10 03:27:08 2025 A4: -11860566533680 Mon Mar 10 03:27:08 2025 A5: 63000 Mon Mar 10 03:27:08 2025 skew 6870531.79, size 5.303e-16, alpha -6.981, combined = 7.764e-13 rroots = 3 Mon Mar 10 03:27:08 2025 Mon Mar 10 03:27:08 2025 commencing linear algebra Mon Mar 10 03:27:08 2025 using VBITS=256 Mon Mar 10 03:27:08 2025 skipping matrix build Mon Mar 10 03:27:08 2025 initialized process (0,0) of 1 x 1 grid Mon Mar 10 03:27:12 2025 matrix starts at (0, 0) Mon Mar 10 03:27:13 2025 matrix is 7711321 x 7711499 (3909.2 MB) with weight 1179894017 (153.00/col) Mon Mar 10 03:27:13 2025 sparse part has weight 932240725 (120.89/col) Mon Mar 10 03:27:13 2025 saving the first 240 matrix rows for later Mon Mar 10 03:27:15 2025 matrix includes 256 packed rows Mon Mar 10 03:27:17 2025 matrix is 7711081 x 7711499 (3500.9 MB) with weight 848243004 (110.00/col) Mon Mar 10 03:27:17 2025 sparse part has weight 794346728 (103.01/col) Mon Mar 10 03:27:17 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Mon Mar 10 03:27:34 2025 commencing Lanczos iteration (64 threads) Mon Mar 10 03:27:34 2025 memory use: 4943.3 MB Mon Mar 10 03:28:49 2025 linear algebra at 0.4%, ETA 5h 5m Mon Mar 10 03:30:32 2025 checking every 20000 dimensions, checkpointing every 1580000 dimensions Mon Mar 10 08:06:12 2025 lanczos halted after 30212 iterations (dim = 7711079) Mon Mar 10 08:06:48 2025 recovered 28 nontrivial dependencies Mon Mar 10 08:06:48 2025 BLanczosTime: 16780 Mon Mar 10 08:06:48 2025 Mon Mar 10 08:06:48 2025 commencing square root phase Mon Mar 10 08:06:48 2025 handling dependencies 1 to 64 Mon Mar 10 08:06:48 2025 reading relations for dependency 1 Mon Mar 10 08:06:49 2025 read 3855104 cycles Mon Mar 10 08:06:56 2025 cycles contain 15197416 unique relations Mon Mar 10 08:10:48 2025 read 15197416 relations Mon Mar 10 08:11:42 2025 multiplying 15197416 relations Mon Mar 10 08:13:11 2025 multiply complete, coefficients have about 839.70 million bits Mon Mar 10 08:13:13 2025 initial square root is modulo 34151983 Mon Mar 10 08:17:51 2025 GCD is N, no factor found Mon Mar 10 08:17:51 2025 reading relations for dependency 2 Mon Mar 10 08:17:51 2025 read 3857248 cycles Mon Mar 10 08:17:58 2025 cycles contain 15198876 unique relations Mon Mar 10 08:21:50 2025 read 15198876 relations Mon Mar 10 08:22:43 2025 multiplying 15198876 relations Mon Mar 10 08:24:10 2025 multiply complete, coefficients have about 839.80 million bits Mon Mar 10 08:24:12 2025 initial square root is modulo 34217849 Mon Mar 10 08:28:47 2025 GCD is N, no factor found Mon Mar 10 08:28:47 2025 reading relations for dependency 3 Mon Mar 10 08:28:48 2025 read 3854938 cycles Mon Mar 10 08:28:55 2025 cycles contain 15193310 unique relations Mon Mar 10 08:32:47 2025 read 15193310 relations Mon Mar 10 08:33:41 2025 multiplying 15193310 relations Mon Mar 10 08:35:08 2025 multiply complete, coefficients have about 839.49 million bits Mon Mar 10 08:35:10 2025 initial square root is modulo 33999019 Mon Mar 10 08:40:05 2025 GCD is N, no factor found Mon Mar 10 08:40:05 2025 reading relations for dependency 4 Mon Mar 10 08:40:06 2025 read 3854905 cycles Mon Mar 10 08:40:17 2025 cycles contain 15194212 unique relations Mon Mar 10 08:44:39 2025 read 15194212 relations Mon Mar 10 08:45:50 2025 multiplying 15194212 relations Mon Mar 10 08:47:47 2025 multiply complete, coefficients have about 839.54 million bits Mon Mar 10 08:47:49 2025 initial square root is modulo 34035931 Mon Mar 10 08:54:05 2025 sqrtTime: 2837 Mon Mar 10 08:54:05 2025 p58 factor: 8263712765190688816963145023683149624686039115484100146203 Mon Mar 10 08:54:05 2025 p107 factor: 10650158548499252193587697973573340072342155618115641405606691684414215164248736211121753706583833936524099 Mon Mar 10 08:54:05 2025 elapsed time 05:26:58