Tue Oct 26 21:32:40 2021 Tue Oct 26 21:32:40 2021 Tue Oct 26 21:32:40 2021 Msieve v. 1.53 (SVN 988) Tue Oct 26 21:32:40 2021 random seeds: 60e07480 9382d420 Tue Oct 26 21:32:40 2021 factoring 440366908086479338365780980403625589812812640002822662003373991032993682169955655569567058515675113719819003583843302675535455819232650065207836109586097 (153 digits) Tue Oct 26 21:32:41 2021 searching for 15-digit factors Tue Oct 26 21:32:41 2021 commencing number field sieve (153-digit input) Tue Oct 26 21:32:41 2021 R0: -1079788485983369637944413989919 Tue Oct 26 21:32:41 2021 R1: 3697317523442603 Tue Oct 26 21:32:41 2021 A0: -215773121045234869497293812485606681888 Tue Oct 26 21:32:41 2021 A1: 66020141045884870467351724183774 Tue Oct 26 21:32:41 2021 A2: 4191734097427578878979990 Tue Oct 26 21:32:41 2021 A3: -2231587952661502509 Tue Oct 26 21:32:41 2021 A4: -8011043812 Tue Oct 26 21:32:41 2021 A5: 300 Tue Oct 26 21:32:41 2021 skew 22743813.40, size 8.362e-015, alpha -6.937, combined = 3.946e-012 rroots = 3 Tue Oct 26 21:32:41 2021 Tue Oct 26 21:32:41 2021 commencing relation filtering Tue Oct 26 21:32:41 2021 setting target matrix density to 120.0 Tue Oct 26 21:32:41 2021 estimated available RAM is 12041.5 MB Tue Oct 26 21:32:41 2021 commencing duplicate removal, pass 1 Tue Oct 26 21:33:31 2021 error -9 reading relation 3854609 Tue Oct 26 21:36:48 2021 error -9 reading relation 19230901 Tue Oct 26 21:41:56 2021 error -15 reading relation 43762391 Tue Oct 26 21:41:59 2021 error -9 reading relation 43942011 Tue Oct 26 21:42:30 2021 error -1 reading relation 46414983 Tue Oct 26 21:42:33 2021 error -1 reading relation 46670760 Tue Oct 26 21:42:35 2021 error -1 reading relation 46842320 Tue Oct 26 21:42:36 2021 error -1 reading relation 46878281 Tue Oct 26 21:42:36 2021 error -9 reading relation 46880072 Tue Oct 26 21:42:40 2021 error -9 reading relation 47262029 Tue Oct 26 21:42:40 2021 error -1 reading relation 47263796 Tue Oct 26 21:43:03 2021 error -15 reading relation 49020772 Tue Oct 26 21:43:03 2021 error -9 reading relation 49022492 Tue Oct 26 21:43:04 2021 error -9 reading relation 49097239 Tue Oct 26 21:43:04 2021 error -15 reading relation 49099083 Tue Oct 26 21:43:07 2021 error -15 reading relation 49373970 Tue Oct 26 21:44:22 2021 error -15 reading relation 55239238 Tue Oct 26 21:45:55 2021 error -15 reading relation 62547000 Tue Oct 26 21:48:45 2021 error -9 reading relation 76014582 Tue Oct 26 21:48:49 2021 error -9 reading relation 76322602 Tue Oct 26 21:48:52 2021 error -15 reading relation 76585834 Tue Oct 26 21:48:54 2021 skipped 3 relations with composite factors Tue Oct 26 21:48:54 2021 found 15461292 hash collisions in 76799988 relations Tue Oct 26 21:49:32 2021 added 121775 free relations Tue Oct 26 21:49:32 2021 commencing duplicate removal, pass 2 Tue Oct 26 21:50:40 2021 found 15885449 duplicates and 61036314 unique relations Tue Oct 26 21:50:40 2021 memory use: 426.4 MB Tue Oct 26 21:50:40 2021 reading ideals above 44892160 Tue Oct 26 21:50:40 2021 commencing singleton removal, initial pass Tue Oct 26 22:01:21 2021 memory use: 1378.0 MB Tue Oct 26 22:01:21 2021 reading all ideals from disk Tue Oct 26 22:01:23 2021 memory use: 1004.9 MB Tue Oct 26 22:01:27 2021 commencing in-memory singleton removal Tue Oct 26 22:01:31 2021 begin with 61036314 relations and 43790733 unique ideals Tue Oct 26 22:02:03 2021 reduce to 46192725 relations and 27855971 ideals in 11 passes Tue Oct 26 22:02:03 2021 max relations containing the same ideal: 48 Tue Oct 26 22:02:08 2021 reading ideals above 720000 Tue Oct 26 22:02:08 2021 commencing singleton removal, initial pass Tue Oct 26 22:11:50 2021 memory use: 753.0 MB Tue Oct 26 22:11:50 2021 reading all ideals from disk Tue Oct 26 22:11:53 2021 memory use: 1626.7 MB Tue Oct 26 22:12:02 2021 keeping 33024057 ideals with weight <= 200, target excess is 251699 Tue Oct 26 22:12:09 2021 commencing in-memory singleton removal Tue Oct 26 22:12:16 2021 begin with 46192725 relations and 33024057 unique ideals Tue Oct 26 22:12:59 2021 reduce to 46189547 relations and 33020879 ideals in 7 passes Tue Oct 26 22:12:59 2021 max relations containing the same ideal: 200 Tue Oct 26 22:13:32 2021 removing 6421312 relations and 4421312 ideals in 2000000 cliques Tue Oct 26 22:13:34 2021 commencing in-memory singleton removal Tue Oct 26 22:13:41 2021 begin with 39768235 relations and 33020879 unique ideals Tue Oct 26 22:14:17 2021 reduce to 39090974 relations and 27887200 ideals in 7 passes Tue Oct 26 22:14:17 2021 max relations containing the same ideal: 187 Tue Oct 26 22:14:45 2021 removing 5390740 relations and 3390740 ideals in 2000000 cliques Tue Oct 26 22:14:47 2021 commencing in-memory singleton removal Tue Oct 26 22:14:52 2021 begin with 33700234 relations and 27887200 unique ideals Tue Oct 26 22:15:23 2021 reduce to 33231060 relations and 24004916 ideals in 7 passes Tue Oct 26 22:15:23 2021 max relations containing the same ideal: 174 Tue Oct 26 22:15:47 2021 removing 5115566 relations and 3115566 ideals in 2000000 cliques Tue Oct 26 22:15:49 2021 commencing in-memory singleton removal Tue Oct 26 22:15:53 2021 begin with 28115494 relations and 24004916 unique ideals Tue Oct 26 22:16:14 2021 reduce to 27688526 relations and 20440751 ideals in 6 passes Tue Oct 26 22:16:14 2021 max relations containing the same ideal: 151 Tue Oct 26 22:16:35 2021 removing 4972908 relations and 2972908 ideals in 2000000 cliques Tue Oct 26 22:16:37 2021 commencing in-memory singleton removal Tue Oct 26 22:16:40 2021 begin with 22715618 relations and 20440751 unique ideals Tue Oct 26 22:16:57 2021 reduce to 22278875 relations and 17005826 ideals in 6 passes Tue Oct 26 22:16:57 2021 max relations containing the same ideal: 130 Tue Oct 26 22:17:13 2021 removing 4876767 relations and 2876767 ideals in 2000000 cliques Tue Oct 26 22:17:15 2021 commencing in-memory singleton removal Tue Oct 26 22:17:18 2021 begin with 17402108 relations and 17005826 unique ideals Tue Oct 26 22:17:35 2021 reduce to 16915235 relations and 13608640 ideals in 8 passes Tue Oct 26 22:17:35 2021 max relations containing the same ideal: 108 Tue Oct 26 22:17:47 2021 removing 4804996 relations and 2804996 ideals in 2000000 cliques Tue Oct 26 22:17:49 2021 commencing in-memory singleton removal Tue Oct 26 22:17:51 2021 begin with 12110239 relations and 13608640 unique ideals Tue Oct 26 22:18:01 2021 reduce to 11518849 relations and 10160695 ideals in 7 passes Tue Oct 26 22:18:01 2021 max relations containing the same ideal: 82 Tue Oct 26 22:18:09 2021 removing 2739933 relations and 1673750 ideals in 1066183 cliques Tue Oct 26 22:18:10 2021 commencing in-memory singleton removal Tue Oct 26 22:18:11 2021 begin with 8778916 relations and 10160695 unique ideals Tue Oct 26 22:18:19 2021 reduce to 8344197 relations and 8016987 ideals in 8 passes Tue Oct 26 22:18:19 2021 max relations containing the same ideal: 67 Tue Oct 26 22:18:25 2021 removing 178830 relations and 143591 ideals in 35239 cliques Tue Oct 26 22:18:26 2021 commencing in-memory singleton removal Tue Oct 26 22:18:27 2021 begin with 8165367 relations and 8016987 unique ideals Tue Oct 26 22:18:32 2021 reduce to 8161578 relations and 7869586 ideals in 5 passes Tue Oct 26 22:18:32 2021 max relations containing the same ideal: 67 Tue Oct 26 22:18:34 2021 relations with 0 large ideals: 814 Tue Oct 26 22:18:34 2021 relations with 1 large ideals: 3986 Tue Oct 26 22:18:34 2021 relations with 2 large ideals: 55820 Tue Oct 26 22:18:34 2021 relations with 3 large ideals: 336142 Tue Oct 26 22:18:34 2021 relations with 4 large ideals: 1057058 Tue Oct 26 22:18:34 2021 relations with 5 large ideals: 1936629 Tue Oct 26 22:18:34 2021 relations with 6 large ideals: 2221206 Tue Oct 26 22:18:34 2021 relations with 7+ large ideals: 2549923 Tue Oct 26 22:18:34 2021 commencing 2-way merge Tue Oct 26 22:18:42 2021 reduce to 5774126 relation sets and 5482134 unique ideals Tue Oct 26 22:18:42 2021 commencing full merge Tue Oct 26 22:21:42 2021 memory use: 682.0 MB Tue Oct 26 22:21:43 2021 found 2560640 cycles, need 2542334 Tue Oct 26 22:21:44 2021 weight of 2542334 cycles is about 305527154 (120.18/cycle) Tue Oct 26 22:21:44 2021 distribution of cycle lengths: Tue Oct 26 22:21:44 2021 1 relations: 55540 Tue Oct 26 22:21:44 2021 2 relations: 133940 Tue Oct 26 22:21:44 2021 3 relations: 179486 Tue Oct 26 22:21:44 2021 4 relations: 200741 Tue Oct 26 22:21:44 2021 5 relations: 217287 Tue Oct 26 22:21:44 2021 6 relations: 217322 Tue Oct 26 22:21:44 2021 7 relations: 209051 Tue Oct 26 22:21:44 2021 8 relations: 194811 Tue Oct 26 22:21:44 2021 9 relations: 176840 Tue Oct 26 22:21:44 2021 10+ relations: 957316 Tue Oct 26 22:21:44 2021 heaviest cycle: 28 relations Tue Oct 26 22:21:45 2021 commencing cycle optimization Tue Oct 26 22:21:51 2021 start with 22280006 relations Tue Oct 26 22:23:15 2021 pruned 1283646 relations Tue Oct 26 22:23:15 2021 memory use: 568.2 MB Tue Oct 26 22:23:15 2021 distribution of cycle lengths: Tue Oct 26 22:23:15 2021 1 relations: 55540 Tue Oct 26 22:23:15 2021 2 relations: 138514 Tue Oct 26 22:23:15 2021 3 relations: 189221 Tue Oct 26 22:23:15 2021 4 relations: 212537 Tue Oct 26 22:23:15 2021 5 relations: 232730 Tue Oct 26 22:23:15 2021 6 relations: 231977 Tue Oct 26 22:23:15 2021 7 relations: 223858 Tue Oct 26 22:23:15 2021 8 relations: 205970 Tue Oct 26 22:23:15 2021 9 relations: 185635 Tue Oct 26 22:23:15 2021 10+ relations: 866352 Tue Oct 26 22:23:15 2021 heaviest cycle: 28 relations Tue Oct 26 22:23:20 2021 RelProcTime: 3039 Tue Oct 26 22:23:20 2021 Tue Oct 26 22:23:20 2021 commencing linear algebra Tue Oct 26 22:23:21 2021 read 2542334 cycles Tue Oct 26 22:23:28 2021 cycles contain 8026225 unique relations Tue Oct 26 22:24:55 2021 read 8026225 relations Tue Oct 26 22:25:16 2021 using 20 quadratic characters above 4294917295 Tue Oct 26 22:26:11 2021 building initial matrix Tue Oct 26 22:28:54 2021 memory use: 1099.3 MB Tue Oct 26 22:28:58 2021 read 2542334 cycles Tue Oct 26 22:28:59 2021 matrix is 2542156 x 2542334 (1183.9 MB) with weight 361637482 (142.25/col) Tue Oct 26 22:28:59 2021 sparse part has weight 279856409 (110.08/col) Tue Oct 26 22:29:42 2021 filtering completed in 2 passes Tue Oct 26 22:29:43 2021 matrix is 2542073 x 2542251 (1183.9 MB) with weight 361633410 (142.25/col) Tue Oct 26 22:29:43 2021 sparse part has weight 279855072 (110.08/col) Tue Oct 26 22:29:53 2021 matrix starts at (0, 0) Tue Oct 26 22:29:53 2021 matrix is 2542073 x 2542251 (1183.9 MB) with weight 361633410 (142.25/col) Tue Oct 26 22:29:53 2021 sparse part has weight 279855072 (110.08/col) Tue Oct 26 22:29:53 2021 saving the first 48 matrix rows for later Tue Oct 26 22:29:55 2021 matrix includes 64 packed rows Tue Oct 26 22:29:55 2021 matrix is 2542025 x 2542251 (1147.9 MB) with weight 308400265 (121.31/col) Tue Oct 26 22:29:55 2021 sparse part has weight 275498625 (108.37/col) Tue Oct 26 22:29:55 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Tue Oct 26 22:30:16 2021 commencing Lanczos iteration (6 threads) Tue Oct 26 22:30:16 2021 memory use: 934.9 MB Tue Oct 26 22:30:29 2021 linear algebra at 0.1%, ETA 5h34m Tue Oct 26 22:30:33 2021 checkpointing every 460000 dimensions Wed Oct 27 04:06:49 2021 lanczos halted after 40200 iterations (dim = 2542025) Wed Oct 27 04:06:53 2021 recovered 32 nontrivial dependencies Wed Oct 27 04:06:54 2021 BLanczosTime: 20614 Wed Oct 27 04:06:54 2021 Wed Oct 27 04:06:54 2021 commencing square root phase Wed Oct 27 04:06:54 2021 handling dependencies 1 to 64 Wed Oct 27 04:06:54 2021 reading relations for dependency 1 Wed Oct 27 04:06:55 2021 read 1272321 cycles Wed Oct 27 04:06:59 2021 cycles contain 4015028 unique relations Wed Oct 27 04:08:07 2021 read 4015028 relations Wed Oct 27 04:08:38 2021 multiplying 4015028 relations Wed Oct 27 04:13:37 2021 multiply complete, coefficients have about 183.17 million bits Wed Oct 27 04:13:38 2021 initial square root is modulo 3746929 Wed Oct 27 04:19:22 2021 sqrtTime: 748 Wed Oct 27 04:19:22 2021 p48 factor: 105729879138882396700985283490064831958939795167 Wed Oct 27 04:19:22 2021 p106 factor: 4165018551738166460933127024867158295387458854739352318764712491388227923511877668557994510045077136327791 Wed Oct 27 04:19:22 2021 elapsed time 06:46:42