Wed Apr 19 16:37:57 2023 Msieve v. 1.54 (SVN 1028) Wed Apr 19 16:37:57 2023 random seeds: 3aab303f dbb3f16d Wed Apr 19 16:37:57 2023 factoring 118354212048034440260770666012384604585708866855163755902627430032278410259431679216123491529460487615637949799034384443542632723143930319885266498118867280848493821817431 (171 digits) Wed Apr 19 16:37:58 2023 no P-1/P+1/ECM available, skipping Wed Apr 19 16:37:58 2023 commencing number field sieve (171-digit input) Wed Apr 19 16:37:58 2023 R0: 21778071482940061661655974875633165533184 Wed Apr 19 16:37:58 2023 R1: -1 Wed Apr 19 16:37:58 2023 A0: -1 Wed Apr 19 16:37:58 2023 A1: 0 Wed Apr 19 16:37:58 2023 A2: 0 Wed Apr 19 16:37:58 2023 A3: 0 Wed Apr 19 16:37:58 2023 A4: 0 Wed Apr 19 16:37:58 2023 A5: 0 Wed Apr 19 16:37:58 2023 A6: 10 Wed Apr 19 16:37:58 2023 skew 0.88, size 6.376e-12, alpha 1.180, combined = 4.555e-13 rroots = 2 Wed Apr 19 16:37:58 2023 Wed Apr 19 16:37:58 2023 commencing relation filtering Wed Apr 19 16:37:58 2023 setting target matrix density to 110.0 Wed Apr 19 16:37:58 2023 estimated available RAM is 128848.2 MB Wed Apr 19 16:37:58 2023 commencing duplicate removal, pass 1 Wed Apr 19 17:13:09 2023 error -15 reading relation 175789711 Wed Apr 19 17:16:15 2023 skipped 130 relations with b > 2^32 Wed Apr 19 17:16:15 2023 found 8059181 hash collisions in 191530140 relations Wed Apr 19 17:16:39 2023 added 1218323 free relations Wed Apr 19 17:16:39 2023 commencing duplicate removal, pass 2 Wed Apr 19 17:18:02 2023 found 0 duplicates and 192748463 unique relations Wed Apr 19 17:18:02 2023 memory use: 522.4 MB Wed Apr 19 17:18:02 2023 reading ideals above 720000 Wed Apr 19 17:18:03 2023 commencing singleton removal, initial pass Wed Apr 19 17:57:51 2023 memory use: 5512.0 MB Wed Apr 19 17:57:51 2023 reading all ideals from disk Wed Apr 19 17:57:56 2023 memory use: 7494.4 MB Wed Apr 19 17:58:31 2023 keeping 189352230 ideals with weight <= 200, target excess is 1234812 Wed Apr 19 17:59:12 2023 commencing in-memory singleton removal Wed Apr 19 17:59:36 2023 begin with 192748463 relations and 189352230 unique ideals Wed Apr 19 18:04:34 2023 reduce to 91977008 relations and 75641364 ideals in 17 passes Wed Apr 19 18:04:34 2023 max relations containing the same ideal: 127 Wed Apr 19 18:05:39 2023 removing 10856143 relations and 8856143 ideals in 2000000 cliques Wed Apr 19 18:05:43 2023 commencing in-memory singleton removal Wed Apr 19 18:05:52 2023 begin with 81120865 relations and 75641364 unique ideals Wed Apr 19 18:07:55 2023 reduce to 80191492 relations and 65831506 ideals in 9 passes Wed Apr 19 18:07:55 2023 max relations containing the same ideal: 116 Wed Apr 19 18:08:51 2023 removing 8397792 relations and 6397792 ideals in 2000000 cliques Wed Apr 19 18:08:55 2023 commencing in-memory singleton removal Wed Apr 19 18:09:03 2023 begin with 71793700 relations and 65831506 unique ideals Wed Apr 19 18:10:44 2023 reduce to 71129425 relations and 58753311 ideals in 9 passes Wed Apr 19 18:10:44 2023 max relations containing the same ideal: 105 Wed Apr 19 18:11:33 2023 removing 7690050 relations and 5690050 ideals in 2000000 cliques Wed Apr 19 18:11:36 2023 commencing in-memory singleton removal Wed Apr 19 18:11:43 2023 begin with 63439375 relations and 58753311 unique ideals Wed Apr 19 18:13:15 2023 reduce to 62817076 relations and 52424693 ideals in 9 passes Wed Apr 19 18:13:15 2023 max relations containing the same ideal: 99 Wed Apr 19 18:13:59 2023 removing 7344798 relations and 5344798 ideals in 2000000 cliques Wed Apr 19 18:14:02 2023 commencing in-memory singleton removal Wed Apr 19 18:14:08 2023 begin with 55472278 relations and 52424693 unique ideals Wed Apr 19 18:15:13 2023 reduce to 54837561 relations and 46427175 ideals in 8 passes Wed Apr 19 18:15:13 2023 max relations containing the same ideal: 88 Wed Apr 19 18:15:51 2023 removing 7162342 relations and 5162342 ideals in 2000000 cliques Wed Apr 19 18:15:54 2023 commencing in-memory singleton removal Wed Apr 19 18:15:58 2023 begin with 47675219 relations and 46427175 unique ideals Wed Apr 19 18:16:58 2023 reduce to 46992561 relations and 40560190 ideals in 8 passes Wed Apr 19 18:16:58 2023 max relations containing the same ideal: 80 Wed Apr 19 18:17:31 2023 removing 7067061 relations and 5067061 ideals in 2000000 cliques Wed Apr 19 18:17:34 2023 commencing in-memory singleton removal Wed Apr 19 18:17:39 2023 begin with 39925500 relations and 40560190 unique ideals Wed Apr 19 18:18:40 2023 reduce to 39148312 relations and 34687050 ideals in 10 passes Wed Apr 19 18:18:40 2023 max relations containing the same ideal: 70 Wed Apr 19 18:19:09 2023 removing 7050925 relations and 5050925 ideals in 2000000 cliques Wed Apr 19 18:19:12 2023 commencing in-memory singleton removal Wed Apr 19 18:19:15 2023 begin with 32097387 relations and 34687050 unique ideals Wed Apr 19 18:20:02 2023 reduce to 31151537 relations and 28648177 ideals in 9 passes Wed Apr 19 18:20:02 2023 max relations containing the same ideal: 63 Wed Apr 19 18:20:25 2023 removing 4379749 relations and 3308771 ideals in 1070978 cliques Wed Apr 19 18:20:27 2023 commencing in-memory singleton removal Wed Apr 19 18:20:30 2023 begin with 26771788 relations and 28648177 unique ideals Wed Apr 19 18:21:00 2023 reduce to 26305409 relations and 24858735 ideals in 9 passes Wed Apr 19 18:21:00 2023 max relations containing the same ideal: 57 Wed Apr 19 18:21:19 2023 removing 118221 relations and 103929 ideals in 14292 cliques Wed Apr 19 18:21:20 2023 commencing in-memory singleton removal Wed Apr 19 18:21:23 2023 begin with 26187188 relations and 24858735 unique ideals Wed Apr 19 18:21:42 2023 reduce to 26186847 relations and 24754465 ideals in 5 passes Wed Apr 19 18:21:42 2023 max relations containing the same ideal: 57 Wed Apr 19 18:21:49 2023 relations with 0 large ideals: 44111 Wed Apr 19 18:21:49 2023 relations with 1 large ideals: 82348 Wed Apr 19 18:21:49 2023 relations with 2 large ideals: 622438 Wed Apr 19 18:21:49 2023 relations with 3 large ideals: 2452354 Wed Apr 19 18:21:49 2023 relations with 4 large ideals: 5486605 Wed Apr 19 18:21:49 2023 relations with 5 large ideals: 7289797 Wed Apr 19 18:21:49 2023 relations with 6 large ideals: 5896306 Wed Apr 19 18:21:49 2023 relations with 7+ large ideals: 4312888 Wed Apr 19 18:21:49 2023 commencing 2-way merge Wed Apr 19 18:22:12 2023 reduce to 15734927 relation sets and 14302545 unique ideals Wed Apr 19 18:22:12 2023 commencing full merge Wed Apr 19 18:29:40 2023 memory use: 1761.9 MB Wed Apr 19 18:29:42 2023 found 7180329 cycles, need 7032745 Wed Apr 19 18:29:46 2023 weight of 7032745 cycles is about 773935313 (110.05/cycle) Wed Apr 19 18:29:46 2023 distribution of cycle lengths: Wed Apr 19 18:29:46 2023 1 relations: 509192 Wed Apr 19 18:29:46 2023 2 relations: 478840 Wed Apr 19 18:29:46 2023 3 relations: 499170 Wed Apr 19 18:29:46 2023 4 relations: 505428 Wed Apr 19 18:29:46 2023 5 relations: 518264 Wed Apr 19 18:29:46 2023 6 relations: 511351 Wed Apr 19 18:29:46 2023 7 relations: 499825 Wed Apr 19 18:29:46 2023 8 relations: 479004 Wed Apr 19 18:29:46 2023 9 relations: 449441 Wed Apr 19 18:29:46 2023 10+ relations: 2582230 Wed Apr 19 18:29:46 2023 heaviest cycle: 27 relations Wed Apr 19 18:29:50 2023 commencing cycle optimization Wed Apr 19 18:30:12 2023 start with 57875878 relations Wed Apr 19 18:33:11 2023 pruned 2272455 relations Wed Apr 19 18:33:11 2023 memory use: 1643.4 MB Wed Apr 19 18:33:11 2023 distribution of cycle lengths: Wed Apr 19 18:33:11 2023 1 relations: 509192 Wed Apr 19 18:33:11 2023 2 relations: 489404 Wed Apr 19 18:33:11 2023 3 relations: 517791 Wed Apr 19 18:33:11 2023 4 relations: 524073 Wed Apr 19 18:33:11 2023 5 relations: 541824 Wed Apr 19 18:33:11 2023 6 relations: 533703 Wed Apr 19 18:33:11 2023 7 relations: 524111 Wed Apr 19 18:33:11 2023 8 relations: 500186 Wed Apr 19 18:33:11 2023 9 relations: 468284 Wed Apr 19 18:33:11 2023 10+ relations: 2424177 Wed Apr 19 18:33:11 2023 heaviest cycle: 26 relations Wed Apr 19 18:33:31 2023 RelProcTime: 6933 Wed Apr 19 18:33:31 2023 elapsed time 01:55:34 Wed Apr 19 18:36:12 2023 Wed Apr 19 18:36:12 2023 Wed Apr 19 18:36:12 2023 Msieve v. 1.54 (SVN 1028) Wed Apr 19 18:36:12 2023 random seeds: e872cc23 e255d15a Wed Apr 19 18:36:12 2023 factoring 118354212048034440260770666012384604585708866855163755902627430032278410259431679216123491529460487615637949799034384443542632723143930319885266498118867280848493821817431 (171 digits) Wed Apr 19 18:36:13 2023 no P-1/P+1/ECM available, skipping Wed Apr 19 18:36:13 2023 commencing number field sieve (171-digit input) Wed Apr 19 18:36:13 2023 R0: 21778071482940061661655974875633165533184 Wed Apr 19 18:36:13 2023 R1: -1 Wed Apr 19 18:36:13 2023 A0: -1 Wed Apr 19 18:36:13 2023 A1: 0 Wed Apr 19 18:36:13 2023 A2: 0 Wed Apr 19 18:36:13 2023 A3: 0 Wed Apr 19 18:36:13 2023 A4: 0 Wed Apr 19 18:36:13 2023 A5: 0 Wed Apr 19 18:36:13 2023 A6: 10 Wed Apr 19 18:36:13 2023 skew 0.88, size 6.376e-12, alpha 1.180, combined = 4.555e-13 rroots = 2 Wed Apr 19 18:36:13 2023 Wed Apr 19 18:36:13 2023 commencing linear algebra Wed Apr 19 18:36:15 2023 read 7032745 cycles Wed Apr 19 18:36:39 2023 cycles contain 25272022 unique relations Wed Apr 19 18:40:38 2023 read 25272022 relations Wed Apr 19 18:41:45 2023 using 20 quadratic characters above 4294917295 Wed Apr 19 18:44:09 2023 building initial matrix Wed Apr 19 18:51:34 2023 memory use: 3147.2 MB Wed Apr 19 18:51:39 2023 read 7032745 cycles Wed Apr 19 18:51:40 2023 matrix is 7032561 x 7032745 (3070.5 MB) with weight 885170345 (125.86/col) Wed Apr 19 18:51:40 2023 sparse part has weight 727559222 (103.45/col) Wed Apr 19 18:53:54 2023 filtering completed in 2 passes Wed Apr 19 18:53:56 2023 matrix is 7030827 x 7031011 (3070.3 MB) with weight 885089278 (125.88/col) Wed Apr 19 18:53:56 2023 sparse part has weight 727517923 (103.47/col) Wed Apr 19 18:54:25 2023 matrix starts at (0, 0) Wed Apr 19 18:54:27 2023 matrix is 7030827 x 7031011 (3070.3 MB) with weight 885089278 (125.88/col) Wed Apr 19 18:54:27 2023 sparse part has weight 727517923 (103.47/col) Wed Apr 19 18:54:27 2023 saving the first 112 matrix rows for later Wed Apr 19 18:54:28 2023 matrix includes 128 packed rows Wed Apr 19 18:54:31 2023 matrix is 7030715 x 7031011 (2872.4 MB) with weight 704377664 (100.18/col) Wed Apr 19 18:54:31 2023 sparse part has weight 668608612 (95.09/col) Wed Apr 19 18:54:31 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB Wed Apr 19 18:55:03 2023 commencing Lanczos iteration (2 threads) Wed Apr 19 18:55:03 2023 memory use: 3192.1 MB Wed Apr 19 18:56:45 2023 linear algebra at 0.0%, ETA 119h53m Wed Apr 19 18:57:18 2023 checkpointing every 60000 dimensions Thu Apr 20 07:29:29 2023 lanczos halted after 5914 iterations (dim = 752455) Thu Apr 20 07:29:30 2023 BLanczosTime: 46397 Thu Apr 20 07:29:30 2023 Thu Apr 20 07:29:30 2023 commencing square root phase Thu Apr 20 07:29:30 2023 reading relations for dependency 1 Thu Apr 20 07:29:30 2023 error: read_cycles can't open dependency file Thu Apr 20 07:29:49 2023 Thu Apr 20 07:29:49 2023 Thu Apr 20 07:29:49 2023 Msieve v. 1.54 (SVN 1028) Thu Apr 20 07:29:49 2023 random seeds: d4ae5862 5d250545 Thu Apr 20 07:29:49 2023 factoring 118354212048034440260770666012384604585708866855163755902627430032278410259431679216123491529460487615637949799034384443542632723143930319885266498118867280848493821817431 (171 digits) Thu Apr 20 07:29:50 2023 no P-1/P+1/ECM available, skipping Thu Apr 20 07:29:50 2023 commencing number field sieve (171-digit input) Thu Apr 20 07:29:50 2023 R0: 21778071482940061661655974875633165533184 Thu Apr 20 07:29:50 2023 R1: -1 Thu Apr 20 07:29:50 2023 A0: -1 Thu Apr 20 07:29:50 2023 A1: 0 Thu Apr 20 07:29:50 2023 A2: 0 Thu Apr 20 07:29:50 2023 A3: 0 Thu Apr 20 07:29:50 2023 A4: 0 Thu Apr 20 07:29:50 2023 A5: 0 Thu Apr 20 07:29:50 2023 A6: 10 Thu Apr 20 07:29:50 2023 skew 0.88, size 6.376e-12, alpha 1.180, combined = 4.555e-13 rroots = 2 Thu Apr 20 07:29:50 2023 Thu Apr 20 07:29:50 2023 commencing linear algebra Thu Apr 20 07:29:55 2023 matrix starts at (0, 0) Thu Apr 20 07:29:56 2023 matrix is 7030827 x 7031011 (3070.3 MB) with weight 885089278 (125.88/col) Thu Apr 20 07:29:56 2023 sparse part has weight 727517923 (103.47/col) Thu Apr 20 07:29:56 2023 saving the first 112 matrix rows for later Thu Apr 20 07:29:58 2023 matrix includes 128 packed rows Thu Apr 20 07:30:01 2023 matrix is 7030715 x 7031011 (2872.4 MB) with weight 704377664 (100.18/col) Thu Apr 20 07:30:01 2023 sparse part has weight 668608612 (95.09/col) Thu Apr 20 07:30:01 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB Thu Apr 20 07:30:31 2023 commencing Lanczos iteration (10 threads) Thu Apr 20 07:30:31 2023 memory use: 3192.5 MB Thu Apr 20 07:30:32 2023 restarting at iteration 5914 (dim = 752455) Thu Apr 20 07:30:53 2023 linear algebra at 10.7%, ETA 23h56m Thu Apr 20 07:30:55 2023 checkpointing every 260000 dimensions Thu Apr 20 22:54:11 2023 lanczos halted after 55259 iterations (dim = 7030713) Thu Apr 20 22:54:22 2023 recovered 36 nontrivial dependencies Thu Apr 20 22:54:22 2023 BLanczosTime: 55472 Thu Apr 20 22:54:22 2023 Thu Apr 20 22:54:22 2023 commencing square root phase Thu Apr 20 22:54:22 2023 reading relations for dependency 1 Thu Apr 20 22:54:23 2023 read 3514600 cycles Thu Apr 20 22:54:29 2023 cycles contain 12635484 unique relations Thu Apr 20 22:55:50 2023 read 12635484 relations Thu Apr 20 22:56:39 2023 multiplying 12635484 relations Thu Apr 20 23:05:04 2023 multiply complete, coefficients have about 355.45 million bits Thu Apr 20 23:05:05 2023 initial square root is modulo 2387767 Thu Apr 20 23:15:58 2023 sqrtTime: 1296 Thu Apr 20 23:15:58 2023 p73 factor: 2727938612099748894232420543813325433637631107194375632947496697679643317 Thu Apr 20 23:15:58 2023 p98 factor: 43385951400473354780665391079624153188134064811871474242973993072408517615000705192499011283684443 Thu Apr 20 23:15:58 2023 elapsed time 15:46:09