Sat Jan 4 12:16:21 2025 Sat Jan 4 12:16:21 2025 Sat Jan 4 12:16:21 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Jan 4 12:16:21 2025 random seeds: d4612560 da74595e Sat Jan 4 12:16:21 2025 MPI process 0 of 1 Sat Jan 4 12:16:21 2025 Using 32 OpenMP threads Sat Jan 4 12:16:21 2025 factoring 14775520400950211566251969891696492224332829618978931615410922331424177020597689651744276729416824587972061456852692493552007609874444400511857383148697124418152235133977188463 (176 digits) Sat Jan 4 12:16:22 2025 searching for 15-digit factors Sat Jan 4 12:16:22 2025 commencing number field sieve (176-digit input) Sat Jan 4 12:16:22 2025 R0: -5725624775279690458745843431546224 Sat Jan 4 12:16:22 2025 R1: 3140629887071271271 Sat Jan 4 12:16:22 2025 A0: -267408957433148552236847112134446091994695 Sat Jan 4 12:16:22 2025 A1: 112705720361963883892382443723433954 Sat Jan 4 12:16:22 2025 A2: 9125100520390701401128257565 Sat Jan 4 12:16:22 2025 A3: -2068772456838360743900 Sat Jan 4 12:16:22 2025 A4: 342699921772852 Sat Jan 4 12:16:22 2025 A5: 2401200 Sat Jan 4 12:16:22 2025 skew 11704432.26, size 3.447e-17, alpha -7.462, combined = 1.486e-13 rroots = 3 Sat Jan 4 12:16:22 2025 Sat Jan 4 12:16:22 2025 commencing relation filtering Sat Jan 4 12:16:22 2025 estimated available RAM is 257736.5 MB Sat Jan 4 12:16:22 2025 commencing duplicate removal, pass 1 Sat Jan 4 12:18:24 2025 error -1 reading relation 49864580 Sat Jan 4 12:18:27 2025 error -1 reading relation 50815821 Sat Jan 4 12:19:34 2025 error -1 reading relation 75516373 Sat Jan 4 12:20:08 2025 error -1 reading relation 87509517 Sat Jan 4 12:22:52 2025 error -1 reading relation 135155870 Sat Jan 4 12:22:54 2025 error -1 reading relation 135669208 Sat Jan 4 12:23:36 2025 error -1 reading relation 146028768 Sat Jan 4 12:23:40 2025 error -1 reading relation 147199937 Sat Jan 4 12:24:18 2025 error -1 reading relation 158248824 Sat Jan 4 12:24:19 2025 error -1 reading relation 158586567 Sat Jan 4 12:25:19 2025 error -1 reading relation 177617652 Sat Jan 4 12:25:30 2025 error -15 reading relation 181220822 Sat Jan 4 12:25:31 2025 error -15 reading relation 181619932 Sat Jan 4 12:25:31 2025 error -1 reading relation 181620343 Sat Jan 4 12:25:32 2025 error -1 reading relation 181828960 Sat Jan 4 12:26:03 2025 error -1 reading relation 191832362 Sat Jan 4 12:26:50 2025 error -1 reading relation 207430839 Sat Jan 4 12:27:00 2025 error -1 reading relation 210655110 Sat Jan 4 12:28:07 2025 error -1 reading relation 233157224 Sat Jan 4 12:28:58 2025 error -1 reading relation 250406848 Sat Jan 4 12:29:24 2025 error -15 reading relation 259548542 Sat Jan 4 12:30:24 2025 error -1 reading relation 279377186 Sat Jan 4 12:30:35 2025 error -1 reading relation 283285989 Sat Jan 4 12:30:40 2025 error -1 reading relation 285273566 Sat Jan 4 12:31:47 2025 error -1 reading relation 308023244 Sat Jan 4 12:31:49 2025 error -15 reading relation 308521349 Sat Jan 4 12:31:58 2025 error -1 reading relation 311757367 Sat Jan 4 12:32:28 2025 error -11 reading relation 321790018 Sat Jan 4 12:32:34 2025 error -1 reading relation 323578975 Sat Jan 4 12:32:43 2025 error -1 reading relation 326676072 Sat Jan 4 12:33:34 2025 error -1 reading relation 344381665 Sat Jan 4 12:33:52 2025 error -1 reading relation 350129230 Sat Jan 4 12:33:52 2025 error -1 reading relation 350221887 Sat Jan 4 12:33:54 2025 error -1 reading relation 350801946 Sat Jan 4 12:33:55 2025 error -1 reading relation 351037804 Sat Jan 4 12:34:35 2025 error -1 reading relation 365380937 Sat Jan 4 12:34:35 2025 error -1 reading relation 365429690 Sat Jan 4 12:35:10 2025 error -1 reading relation 377520774 Sat Jan 4 12:35:21 2025 skipped 1 relations with composite factors Sat Jan 4 12:35:21 2025 skipped 387 malformed relations Sat Jan 4 12:35:21 2025 found 91796602 hash collisions in 381191412 relations Sat Jan 4 12:35:54 2025 added 121704 free relations Sat Jan 4 12:35:54 2025 commencing duplicate removal, pass 2 Sat Jan 4 12:46:36 2025 found 104006188 duplicates and 277306928 unique relations Sat Jan 4 12:46:36 2025 memory use: 2643.0 MB Sat Jan 4 12:46:37 2025 reading ideals above 720000 Sat Jan 4 12:46:37 2025 commencing singleton removal, initial pass Sat Jan 4 13:14:58 2025 memory use: 6024.0 MB Sat Jan 4 13:14:59 2025 reading all ideals from disk Sat Jan 4 13:15:05 2025 memory use: 13176.1 MB Sat Jan 4 13:15:48 2025 keeping 292793071 ideals with weight <= 200, target excess is 1357094 Sat Jan 4 13:16:50 2025 commencing in-memory singleton removal Sat Jan 4 13:16:55 2025 begin with 277306928 relations and 292793071 unique ideals Sat Jan 4 13:17:23 2025 reduce to 123557284 relations and 116857917 ideals in 22 passes Sat Jan 4 13:17:23 2025 max relations containing the same ideal: 124 Sat Jan 4 13:18:35 2025 removing 10452002 relations and 9452002 ideals in 1000000 cliques Sat Jan 4 13:18:42 2025 commencing in-memory singleton removal Sat Jan 4 13:18:44 2025 begin with 113105282 relations and 116857917 unique ideals Sat Jan 4 13:18:56 2025 reduce to 112298640 relations and 106589474 ideals in 11 passes Sat Jan 4 13:18:56 2025 max relations containing the same ideal: 117 Sat Jan 4 13:20:00 2025 removing 7774834 relations and 6774834 ideals in 1000000 cliques Sat Jan 4 13:20:05 2025 commencing in-memory singleton removal Sat Jan 4 13:20:07 2025 begin with 104523806 relations and 106589474 unique ideals Sat Jan 4 13:20:17 2025 reduce to 104018569 relations and 99304207 ideals in 10 passes Sat Jan 4 13:20:17 2025 max relations containing the same ideal: 112 Sat Jan 4 13:21:17 2025 removing 6950541 relations and 5950541 ideals in 1000000 cliques Sat Jan 4 13:21:22 2025 commencing in-memory singleton removal Sat Jan 4 13:21:24 2025 begin with 97068028 relations and 99304207 unique ideals Sat Jan 4 13:21:32 2025 reduce to 96629925 relations and 92911141 ideals in 9 passes Sat Jan 4 13:21:32 2025 max relations containing the same ideal: 107 Sat Jan 4 13:22:24 2025 removing 6527399 relations and 5527399 ideals in 1000000 cliques Sat Jan 4 13:22:28 2025 commencing in-memory singleton removal Sat Jan 4 13:22:30 2025 begin with 90102526 relations and 92911141 unique ideals Sat Jan 4 13:22:38 2025 reduce to 89684334 relations and 86961170 ideals in 10 passes Sat Jan 4 13:22:38 2025 max relations containing the same ideal: 103 Sat Jan 4 13:23:31 2025 removing 6282791 relations and 5282791 ideals in 1000000 cliques Sat Jan 4 13:23:35 2025 commencing in-memory singleton removal Sat Jan 4 13:23:36 2025 begin with 83401543 relations and 86961170 unique ideals Sat Jan 4 13:23:44 2025 reduce to 82983450 relations and 81255815 ideals in 11 passes Sat Jan 4 13:23:44 2025 max relations containing the same ideal: 96 Sat Jan 4 13:24:48 2025 removing 1337238 relations and 1183833 ideals in 153405 cliques Sat Jan 4 13:24:51 2025 commencing in-memory singleton removal Sat Jan 4 13:24:53 2025 begin with 81646212 relations and 81255815 unique ideals Sat Jan 4 13:24:57 2025 reduce to 81628227 relations and 80053949 ideals in 6 passes Sat Jan 4 13:24:57 2025 max relations containing the same ideal: 96 Sat Jan 4 13:25:11 2025 relations with 0 large ideals: 4534 Sat Jan 4 13:25:11 2025 relations with 1 large ideals: 33584 Sat Jan 4 13:25:11 2025 relations with 2 large ideals: 466740 Sat Jan 4 13:25:11 2025 relations with 3 large ideals: 2839455 Sat Jan 4 13:25:11 2025 relations with 4 large ideals: 9480374 Sat Jan 4 13:25:11 2025 relations with 5 large ideals: 18914882 Sat Jan 4 13:25:11 2025 relations with 6 large ideals: 23189743 Sat Jan 4 13:25:11 2025 relations with 7+ large ideals: 26698915 Sat Jan 4 13:25:11 2025 commencing 2-way merge Sat Jan 4 13:26:43 2025 reduce to 48310398 relation sets and 46736120 unique ideals Sat Jan 4 13:26:43 2025 commencing full merge Sat Jan 4 13:52:46 2025 memory use: 5264.2 MB Sat Jan 4 13:52:54 2025 found 21450968 cycles, need 21406320 Sat Jan 4 13:53:04 2025 weight of 21406320 cycles is about 2354794004 (110.00/cycle) Sat Jan 4 13:53:04 2025 distribution of cycle lengths: Sat Jan 4 13:53:04 2025 1 relations: 2139031 Sat Jan 4 13:53:04 2025 2 relations: 1903757 Sat Jan 4 13:53:04 2025 3 relations: 1822549 Sat Jan 4 13:53:04 2025 4 relations: 1695786 Sat Jan 4 13:53:04 2025 5 relations: 1591509 Sat Jan 4 13:53:04 2025 6 relations: 1423897 Sat Jan 4 13:53:04 2025 7 relations: 1331419 Sat Jan 4 13:53:04 2025 8 relations: 1191206 Sat Jan 4 13:53:04 2025 9 relations: 1067347 Sat Jan 4 13:53:04 2025 10+ relations: 7239819 Sat Jan 4 13:53:04 2025 heaviest cycle: 28 relations Sat Jan 4 13:53:11 2025 commencing cycle optimization Sat Jan 4 13:54:26 2025 start with 171371511 relations Sat Jan 4 14:04:12 2025 pruned 5276203 relations Sat Jan 4 14:04:14 2025 memory use: 5061.2 MB Sat Jan 4 14:04:15 2025 distribution of cycle lengths: Sat Jan 4 14:04:15 2025 1 relations: 2139031 Sat Jan 4 14:04:15 2025 2 relations: 1951035 Sat Jan 4 14:04:15 2025 3 relations: 1892021 Sat Jan 4 14:04:15 2025 4 relations: 1746186 Sat Jan 4 14:04:15 2025 5 relations: 1640697 Sat Jan 4 14:04:15 2025 6 relations: 1459752 Sat Jan 4 14:04:15 2025 7 relations: 1359301 Sat Jan 4 14:04:15 2025 8 relations: 1210354 Sat Jan 4 14:04:15 2025 9 relations: 1080968 Sat Jan 4 14:04:15 2025 10+ relations: 6926975 Sat Jan 4 14:04:15 2025 heaviest cycle: 28 relations Sat Jan 4 14:05:06 2025 RelProcTime: 6524 Sat Jan 4 14:05:13 2025 elapsed time 01:48:52 Sat Jan 4 14:52:43 2025 Sat Jan 4 14:52:43 2025 Sat Jan 4 14:52:43 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Jan 4 14:52:43 2025 random seeds: b945c173 f1ba8a79 Sat Jan 4 14:52:43 2025 MPI process 0 of 1 Sat Jan 4 14:52:43 2025 Using 32 OpenMP threads Sat Jan 4 14:52:43 2025 factoring 14775520400950211566251969891696492224332829618978931615410922331424177020597689651744276729416824587972061456852692493552007609874444400511857383148697124418152235133977188463 (176 digits) Sat Jan 4 14:52:44 2025 searching for 15-digit factors Sat Jan 4 14:52:44 2025 commencing number field sieve (176-digit input) Sat Jan 4 14:52:44 2025 R0: -5725624775279690458745843431546224 Sat Jan 4 14:52:44 2025 R1: 3140629887071271271 Sat Jan 4 14:52:44 2025 A0: -267408957433148552236847112134446091994695 Sat Jan 4 14:52:44 2025 A1: 112705720361963883892382443723433954 Sat Jan 4 14:52:44 2025 A2: 9125100520390701401128257565 Sat Jan 4 14:52:44 2025 A3: -2068772456838360743900 Sat Jan 4 14:52:44 2025 A4: 342699921772852 Sat Jan 4 14:52:44 2025 A5: 2401200 Sat Jan 4 14:52:44 2025 skew 11704432.26, size 3.447e-17, alpha -7.462, combined = 1.486e-13 rroots = 3 Sat Jan 4 14:52:44 2025 Sat Jan 4 14:52:44 2025 commencing linear algebra Sat Jan 4 14:52:44 2025 using VBITS=256 Sat Jan 4 14:52:44 2025 stopping after matrix build Sat Jan 4 14:52:44 2025 initialized process (0,0) of 1 x 1 grid Sat Jan 4 14:52:48 2025 read 21406320 cycles Sat Jan 4 14:53:47 2025 cycles contain 80300334 unique relations Sat Jan 4 15:02:54 2025 read 80300334 relations Sat Jan 4 15:03:05 2025 using 20 quadratic characters above 4294917295 Sat Jan 4 15:03:21 2025 building initial matrix Sat Jan 4 15:28:14 2025 memory use: 11051.7 MB Sat Jan 4 15:28:39 2025 read 21406320 cycles Sat Jan 4 15:28:45 2025 matrix is 21406142 x 21406320 (9507.2 MB) with weight 2920249760 (136.42/col) Sat Jan 4 15:28:45 2025 sparse part has weight 2235378830 (104.43/col) Sat Jan 4 15:37:54 2025 filtering completed in 2 passes Sat Jan 4 15:38:02 2025 matrix is 21402799 x 21402975 (9506.9 MB) with weight 2920090251 (136.43/col) Sat Jan 4 15:38:02 2025 sparse part has weight 2235339173 (104.44/col) Sat Jan 4 15:40:49 2025 BLanczosTime: 2885 Sat Jan 4 15:40:49 2025 elapsed time 00:48:06 Sat Jan 4 20:43:47 2025 Sat Jan 4 20:43:47 2025 Sat Jan 4 20:43:47 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Jan 4 20:43:47 2025 random seeds: 0e82167f ec30cdd3 Sat Jan 4 20:43:47 2025 MPI process 0 of 1 Sat Jan 4 20:43:47 2025 Using 64 OpenMP threads Sat Jan 4 20:43:47 2025 factoring 14775520400950211566251969891696492224332829618978931615410922331424177020597689651744276729416824587972061456852692493552007609874444400511857383148697124418152235133977188463 (176 digits) Sat Jan 4 20:43:48 2025 searching for 15-digit factors Sat Jan 4 20:43:48 2025 commencing number field sieve (176-digit input) Sat Jan 4 20:43:48 2025 R0: -5725624775279690458745843431546224 Sat Jan 4 20:43:48 2025 R1: 3140629887071271271 Sat Jan 4 20:43:48 2025 A0: -267408957433148552236847112134446091994695 Sat Jan 4 20:43:48 2025 A1: 112705720361963883892382443723433954 Sat Jan 4 20:43:48 2025 A2: 9125100520390701401128257565 Sat Jan 4 20:43:48 2025 A3: -2068772456838360743900 Sat Jan 4 20:43:48 2025 A4: 342699921772852 Sat Jan 4 20:43:48 2025 A5: 2401200 Sat Jan 4 20:43:48 2025 skew 11704432.26, size 3.447e-17, alpha -7.462, combined = 1.486e-13 rroots = 3 Sat Jan 4 20:43:48 2025 Sat Jan 4 20:43:48 2025 commencing linear algebra Sat Jan 4 20:43:48 2025 using VBITS=256 Sat Jan 4 20:43:48 2025 skipping matrix build Sat Jan 4 20:43:48 2025 initialized process (0,0) of 1 x 1 grid Sat Jan 4 20:43:58 2025 matrix starts at (0, 0) Sat Jan 4 20:44:01 2025 matrix is 21402799 x 21402975 (9506.9 MB) with weight 2920090251 (136.43/col) Sat Jan 4 20:44:01 2025 sparse part has weight 2235339173 (104.44/col) Sat Jan 4 20:44:01 2025 saving the first 240 matrix rows for later Sat Jan 4 20:44:05 2025 matrix includes 256 packed rows Sat Jan 4 20:44:12 2025 matrix is 21402559 x 21402975 (8645.6 MB) with weight 2055433233 (96.03/col) Sat Jan 4 20:44:12 2025 sparse part has weight 1923933073 (89.89/col) Sat Jan 4 20:44:12 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sat Jan 4 20:44:59 2025 commencing Lanczos iteration (64 threads) Sat Jan 4 20:44:59 2025 memory use: 12820.0 MB Sat Jan 4 20:48:15 2025 linear algebra at 0.1%, ETA 37h23m Sat Jan 4 20:52:54 2025 checking every 10000 dimensions, checkpointing every 590000 dimensions Mon Jan 6 09:11:04 2025 lanczos halted after 83856 iterations (dim = 21402557) Mon Jan 6 09:13:22 2025 recovered 32 nontrivial dependencies Mon Jan 6 09:13:26 2025 BLanczosTime: 131378 Mon Jan 6 09:13:26 2025 Mon Jan 6 09:13:26 2025 commencing square root phase Mon Jan 6 09:13:26 2025 handling dependencies 1 to 64 Mon Jan 6 09:13:26 2025 reading relations for dependency 1 Mon Jan 6 09:13:28 2025 read 10698504 cycles Mon Jan 6 09:13:52 2025 cycles contain 40144878 unique relations Mon Jan 6 09:20:54 2025 read 40144878 relations Mon Jan 6 09:25:58 2025 multiplying 40144878 relations Mon Jan 6 09:33:32 2025 multiply complete, coefficients have about 2431.27 million bits Mon Jan 6 09:33:39 2025 initial square root is modulo 283817 Mon Jan 6 09:54:31 2025 sqrtTime: 2465 Mon Jan 6 09:54:31 2025 p67 factor: 1605755839534898502148835958680842176976590447615144459254016559243 Mon Jan 6 09:54:31 2025 p109 factor: 9201598423101415452713749620848696733419388584102406397116727147420414235910752280466319749597623789820266541 Mon Jan 6 09:54:31 2025 elapsed time 37:10:44