Thu Dec 22 07:08:36 2022 Thu Dec 22 07:08:36 2022 Thu Dec 22 07:08:36 2022 Msieve v. 1.54 (SVN Unversioned directory) Thu Dec 22 07:08:36 2022 random seeds: 0a9e92fe 13666df6 Thu Dec 22 07:08:36 2022 factoring 5106049695547441661353777107959888216834548844042126038917336432985795859819489671101781851676017211627664490827442936532273922831062283091765565625763835177088143935161548450209971 (181 digits) Thu Dec 22 07:08:37 2022 no P-1/P+1/ECM available, skipping Thu Dec 22 07:08:37 2022 commencing number field sieve (181-digit input) Thu Dec 22 07:08:37 2022 R0: 1705128364088534744385339785546687727410 Thu Dec 22 07:08:37 2022 R1: -41293199973948915847 Thu Dec 22 07:08:37 2022 A0: -1 Thu Dec 22 07:08:37 2022 A1: 3 Thu Dec 22 07:08:37 2022 A2: 6 Thu Dec 22 07:08:37 2022 A3: -4 Thu Dec 22 07:08:37 2022 A4: -5 Thu Dec 22 07:08:37 2022 A5: 1 Thu Dec 22 07:08:37 2022 A6: 1 Thu Dec 22 07:08:37 2022 skew 1.00, size 1.392e-11, alpha 3.126, combined = 7.943e-13 rroots = 6 Thu Dec 22 07:08:37 2022 Thu Dec 22 07:08:37 2022 commencing relation filtering Thu Dec 22 07:08:37 2022 setting target matrix density to 112.0 Thu Dec 22 07:08:37 2022 estimated available RAM is 15960.0 MB Thu Dec 22 07:08:37 2022 commencing duplicate removal, pass 1 Thu Dec 22 07:23:28 2022 skipped 9 relations with b > 2^32 Thu Dec 22 07:23:28 2022 skipped 1 relations with composite factors Thu Dec 22 07:23:28 2022 found 4900693 hash collisions in 105982625 relations Thu Dec 22 07:23:28 2022 commencing duplicate removal, pass 2 Thu Dec 22 07:24:06 2022 found 0 duplicates and 105982625 unique relations Thu Dec 22 07:24:06 2022 memory use: 261.2 MB Thu Dec 22 07:24:06 2022 reading ideals above 73859072 Thu Dec 22 07:24:06 2022 commencing singleton removal, initial pass Thu Dec 22 07:34:10 2022 memory use: 2756.0 MB Thu Dec 22 07:34:10 2022 reading all ideals from disk Thu Dec 22 07:34:12 2022 memory use: 2006.3 MB Thu Dec 22 07:34:15 2022 commencing in-memory singleton removal Thu Dec 22 07:34:17 2022 begin with 105982625 relations and 85112080 unique ideals Thu Dec 22 07:34:52 2022 reduce to 74771841 relations and 51134818 ideals in 14 passes Thu Dec 22 07:34:52 2022 max relations containing the same ideal: 43 Thu Dec 22 07:34:55 2022 reading ideals above 720000 Thu Dec 22 07:34:55 2022 commencing singleton removal, initial pass Thu Dec 22 07:43:04 2022 memory use: 1506.0 MB Thu Dec 22 07:43:04 2022 reading all ideals from disk Thu Dec 22 07:43:06 2022 memory use: 2850.2 MB Thu Dec 22 07:43:12 2022 keeping 59414297 ideals with weight <= 200, target excess is 383194 Thu Dec 22 07:43:18 2022 commencing in-memory singleton removal Thu Dec 22 07:43:23 2022 begin with 74771841 relations and 59414297 unique ideals Thu Dec 22 07:43:32 2022 reduce to 74771758 relations and 59414214 ideals in 2 passes Thu Dec 22 07:43:32 2022 max relations containing the same ideal: 200 Thu Dec 22 07:43:57 2022 removing 8323604 relations and 6323604 ideals in 2000000 cliques Thu Dec 22 07:44:00 2022 commencing in-memory singleton removal Thu Dec 22 07:44:04 2022 begin with 66448154 relations and 59414214 unique ideals Thu Dec 22 07:44:34 2022 reduce to 65642583 relations and 52257684 ideals in 8 passes Thu Dec 22 07:44:34 2022 max relations containing the same ideal: 191 Thu Dec 22 07:44:56 2022 removing 6767089 relations and 4767089 ideals in 2000000 cliques Thu Dec 22 07:44:58 2022 commencing in-memory singleton removal Thu Dec 22 07:45:02 2022 begin with 58875494 relations and 52257684 unique ideals Thu Dec 22 07:45:25 2022 reduce to 58302550 relations and 46899813 ideals in 7 passes Thu Dec 22 07:45:25 2022 max relations containing the same ideal: 180 Thu Dec 22 07:45:44 2022 removing 6315307 relations and 4315307 ideals in 2000000 cliques Thu Dec 22 07:45:46 2022 commencing in-memory singleton removal Thu Dec 22 07:45:49 2022 begin with 51987243 relations and 46899813 unique ideals Thu Dec 22 07:46:09 2022 reduce to 51456219 relations and 42036090 ideals in 7 passes Thu Dec 22 07:46:09 2022 max relations containing the same ideal: 167 Thu Dec 22 07:46:26 2022 removing 6099767 relations and 4099767 ideals in 2000000 cliques Thu Dec 22 07:46:28 2022 commencing in-memory singleton removal Thu Dec 22 07:46:31 2022 begin with 45356452 relations and 42036090 unique ideals Thu Dec 22 07:46:49 2022 reduce to 44823822 relations and 37384732 ideals in 7 passes Thu Dec 22 07:46:49 2022 max relations containing the same ideal: 153 Thu Dec 22 07:47:04 2022 removing 5978935 relations and 3978935 ideals in 2000000 cliques Thu Dec 22 07:47:05 2022 commencing in-memory singleton removal Thu Dec 22 07:47:08 2022 begin with 38844887 relations and 37384732 unique ideals Thu Dec 22 07:47:25 2022 reduce to 38283304 relations and 32821600 ideals in 8 passes Thu Dec 22 07:47:25 2022 max relations containing the same ideal: 137 Thu Dec 22 07:47:38 2022 removing 5898773 relations and 3898773 ideals in 2000000 cliques Thu Dec 22 07:47:39 2022 commencing in-memory singleton removal Thu Dec 22 07:47:41 2022 begin with 32384531 relations and 32821600 unique ideals Thu Dec 22 07:47:55 2022 reduce to 31769927 relations and 28279864 ideals in 8 passes Thu Dec 22 07:47:55 2022 max relations containing the same ideal: 119 Thu Dec 22 07:48:06 2022 removing 5843662 relations and 3843662 ideals in 2000000 cliques Thu Dec 22 07:48:08 2022 commencing in-memory singleton removal Thu Dec 22 07:48:10 2022 begin with 25926265 relations and 28279864 unique ideals Thu Dec 22 07:48:20 2022 reduce to 25219929 relations and 23691115 ideals in 8 passes Thu Dec 22 07:48:20 2022 max relations containing the same ideal: 103 Thu Dec 22 07:48:29 2022 removing 3537014 relations and 2452706 ideals in 1084308 cliques Thu Dec 22 07:48:30 2022 commencing in-memory singleton removal Thu Dec 22 07:48:32 2022 begin with 21682915 relations and 23691115 unique ideals Thu Dec 22 07:48:41 2022 reduce to 21322564 relations and 20863947 ideals in 8 passes Thu Dec 22 07:48:41 2022 max relations containing the same ideal: 98 Thu Dec 22 07:48:48 2022 removing 91000 relations and 76889 ideals in 14111 cliques Thu Dec 22 07:48:49 2022 commencing in-memory singleton removal Thu Dec 22 07:48:50 2022 begin with 21231564 relations and 20863947 unique ideals Thu Dec 22 07:48:54 2022 reduce to 21231317 relations and 20786811 ideals in 4 passes Thu Dec 22 07:48:54 2022 max relations containing the same ideal: 97 Thu Dec 22 07:48:58 2022 relations with 0 large ideals: 28539 Thu Dec 22 07:48:58 2022 relations with 1 large ideals: 6381 Thu Dec 22 07:48:58 2022 relations with 2 large ideals: 51951 Thu Dec 22 07:48:58 2022 relations with 3 large ideals: 376128 Thu Dec 22 07:48:58 2022 relations with 4 large ideals: 1506639 Thu Dec 22 07:48:58 2022 relations with 5 large ideals: 3596907 Thu Dec 22 07:48:58 2022 relations with 6 large ideals: 5384891 Thu Dec 22 07:48:58 2022 relations with 7+ large ideals: 10279881 Thu Dec 22 07:48:58 2022 commencing 2-way merge Thu Dec 22 07:49:08 2022 reduce to 14560655 relation sets and 14116149 unique ideals Thu Dec 22 07:49:08 2022 commencing full merge Thu Dec 22 07:53:54 2022 memory use: 1950.0 MB Thu Dec 22 07:53:55 2022 found 6658821 cycles, need 6644349 Thu Dec 22 07:53:57 2022 weight of 6644349 cycles is about 744434056 (112.04/cycle) Thu Dec 22 07:53:57 2022 distribution of cycle lengths: Thu Dec 22 07:53:57 2022 1 relations: 278166 Thu Dec 22 07:53:57 2022 2 relations: 395744 Thu Dec 22 07:53:57 2022 3 relations: 477262 Thu Dec 22 07:53:57 2022 4 relations: 504310 Thu Dec 22 07:53:57 2022 5 relations: 521669 Thu Dec 22 07:53:57 2022 6 relations: 516064 Thu Dec 22 07:53:57 2022 7 relations: 503268 Thu Dec 22 07:53:57 2022 8 relations: 475754 Thu Dec 22 07:53:57 2022 9 relations: 442163 Thu Dec 22 07:53:57 2022 10+ relations: 2529949 Thu Dec 22 07:53:57 2022 heaviest cycle: 28 relations Thu Dec 22 07:53:59 2022 commencing cycle optimization Thu Dec 22 07:54:10 2022 start with 57685320 relations Thu Dec 22 07:55:58 2022 pruned 2805769 relations Thu Dec 22 07:55:58 2022 memory use: 1481.7 MB Thu Dec 22 07:55:58 2022 distribution of cycle lengths: Thu Dec 22 07:55:58 2022 1 relations: 278166 Thu Dec 22 07:55:58 2022 2 relations: 405355 Thu Dec 22 07:55:58 2022 3 relations: 497976 Thu Dec 22 07:55:58 2022 4 relations: 526730 Thu Dec 22 07:55:58 2022 5 relations: 550273 Thu Dec 22 07:55:58 2022 6 relations: 543436 Thu Dec 22 07:55:58 2022 7 relations: 531311 Thu Dec 22 07:55:58 2022 8 relations: 499330 Thu Dec 22 07:55:58 2022 9 relations: 462336 Thu Dec 22 07:55:58 2022 10+ relations: 2349436 Thu Dec 22 07:55:58 2022 heaviest cycle: 28 relations Thu Dec 22 07:56:10 2022 RelProcTime: 2853 Thu Dec 22 07:56:10 2022 Thu Dec 22 07:56:10 2022 commencing linear algebra Thu Dec 22 07:56:10 2022 using VBITS=256 Thu Dec 22 07:56:11 2022 read 6644349 cycles Thu Dec 22 07:56:22 2022 cycles contain 21008312 unique relations Thu Dec 22 07:58:02 2022 read 21008312 relations Thu Dec 22 07:58:24 2022 using 20 quadratic characters above 4294917295 Thu Dec 22 07:59:46 2022 building initial matrix Thu Dec 22 08:03:36 2022 memory use: 2593.9 MB Thu Dec 22 08:03:38 2022 read 6644349 cycles Thu Dec 22 08:03:39 2022 matrix is 6644172 x 6644349 (2902.0 MB) with weight 822319827 (123.76/col) Thu Dec 22 08:03:39 2022 sparse part has weight 694291916 (104.49/col) Thu Dec 22 08:04:51 2022 filtering completed in 2 passes Thu Dec 22 08:04:52 2022 matrix is 6644094 x 6644256 (2902.0 MB) with weight 822317222 (123.76/col) Thu Dec 22 08:04:52 2022 sparse part has weight 694291065 (104.49/col) Thu Dec 22 08:05:08 2022 matrix starts at (0, 0) Thu Dec 22 08:05:09 2022 matrix is 6644094 x 6644256 (2902.0 MB) with weight 822317222 (123.76/col) Thu Dec 22 08:05:09 2022 sparse part has weight 694291065 (104.49/col) Thu Dec 22 08:05:09 2022 saving the first 240 matrix rows for later Thu Dec 22 08:05:10 2022 matrix includes 256 packed rows Thu Dec 22 08:05:12 2022 matrix is 6643854 x 6644256 (2681.1 MB) with weight 629334614 (94.72/col) Thu Dec 22 08:05:12 2022 sparse part has weight 596529595 (89.78/col) Thu Dec 22 08:05:12 2022 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Dec 22 08:05:12 2022 selected card has CUDA arch 8.6 Thu Dec 22 08:07:09 2022 Thu Dec 22 08:07:09 2022 Thu Dec 22 08:07:09 2022 Msieve v. 1.54 (SVN Unversioned directory) Thu Dec 22 08:07:09 2022 random seeds: 81ff4f80 63cd1164 Thu Dec 22 08:07:09 2022 factoring 5106049695547441661353777107959888216834548844042126038917336432985795859819489671101781851676017211627664490827442936532273922831062283091765565625763835177088143935161548450209971 (181 digits) Thu Dec 22 08:07:10 2022 no P-1/P+1/ECM available, skipping Thu Dec 22 08:07:10 2022 commencing number field sieve (181-digit input) Thu Dec 22 08:07:10 2022 R0: 1705128364088534744385339785546687727410 Thu Dec 22 08:07:10 2022 R1: -41293199973948915847 Thu Dec 22 08:07:10 2022 A0: -1 Thu Dec 22 08:07:10 2022 A1: 3 Thu Dec 22 08:07:10 2022 A2: 6 Thu Dec 22 08:07:10 2022 A3: -4 Thu Dec 22 08:07:10 2022 A4: -5 Thu Dec 22 08:07:10 2022 A5: 1 Thu Dec 22 08:07:10 2022 A6: 1 Thu Dec 22 08:07:10 2022 skew 1.00, size 1.392e-11, alpha 3.126, combined = 7.943e-13 rroots = 6 Thu Dec 22 08:07:10 2022 Thu Dec 22 08:07:10 2022 commencing linear algebra Thu Dec 22 08:07:10 2022 using VBITS=256 Thu Dec 22 08:07:10 2022 skipping matrix build Thu Dec 22 08:07:17 2022 matrix starts at (0, 0) Thu Dec 22 08:07:18 2022 matrix is 6644094 x 6644256 (2902.0 MB) with weight 822317222 (123.76/col) Thu Dec 22 08:07:18 2022 sparse part has weight 694291065 (104.49/col) Thu Dec 22 08:07:18 2022 saving the first 240 matrix rows for later Thu Dec 22 08:07:19 2022 matrix includes 256 packed rows Thu Dec 22 08:07:22 2022 matrix is 6643854 x 6644256 (2681.1 MB) with weight 629334614 (94.72/col) Thu Dec 22 08:07:22 2022 sparse part has weight 596529595 (89.78/col) Thu Dec 22 08:07:22 2022 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Dec 22 08:07:22 2022 selected card has CUDA arch 8.6 Thu Dec 22 08:07:47 2022 Thu Dec 22 08:07:47 2022 Thu Dec 22 08:07:47 2022 Msieve v. 1.54 (SVN Unversioned directory) Thu Dec 22 08:07:47 2022 random seeds: c0b10327 06a355a6 Thu Dec 22 08:07:47 2022 factoring 5106049695547441661353777107959888216834548844042126038917336432985795859819489671101781851676017211627664490827442936532273922831062283091765565625763835177088143935161548450209971 (181 digits) Thu Dec 22 08:07:47 2022 no P-1/P+1/ECM available, skipping Thu Dec 22 08:07:47 2022 commencing number field sieve (181-digit input) Thu Dec 22 08:07:47 2022 R0: 1705128364088534744385339785546687727410 Thu Dec 22 08:07:47 2022 R1: -41293199973948915847 Thu Dec 22 08:07:47 2022 A0: -1 Thu Dec 22 08:07:47 2022 A1: 3 Thu Dec 22 08:07:47 2022 A2: 6 Thu Dec 22 08:07:47 2022 A3: -4 Thu Dec 22 08:07:47 2022 A4: -5 Thu Dec 22 08:07:47 2022 A5: 1 Thu Dec 22 08:07:47 2022 A6: 1 Thu Dec 22 08:07:47 2022 skew 1.00, size 1.392e-11, alpha 3.126, combined = 7.943e-13 rroots = 6 Thu Dec 22 08:07:47 2022 Thu Dec 22 08:07:47 2022 commencing linear algebra Thu Dec 22 08:07:47 2022 using VBITS=256 Thu Dec 22 08:07:47 2022 skipping matrix build Thu Dec 22 08:07:54 2022 matrix starts at (0, 0) Thu Dec 22 08:07:55 2022 matrix is 6644094 x 6644256 (2902.0 MB) with weight 822317222 (123.76/col) Thu Dec 22 08:07:55 2022 sparse part has weight 694291065 (104.49/col) Thu Dec 22 08:07:55 2022 saving the first 240 matrix rows for later Thu Dec 22 08:07:57 2022 matrix includes 256 packed rows Thu Dec 22 08:07:59 2022 matrix is 6643854 x 6644256 (2681.1 MB) with weight 629334614 (94.72/col) Thu Dec 22 08:07:59 2022 sparse part has weight 596529595 (89.78/col) Thu Dec 22 08:07:59 2022 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Dec 22 08:07:59 2022 selected card has CUDA arch 8.6 Thu Dec 22 08:08:34 2022 commencing Lanczos iteration Thu Dec 22 08:08:34 2022 memory use: 6274.7 MB Thu Dec 22 08:08:47 2022 linear algebra at 0.1%, ETA 2h53m Thu Dec 22 08:08:47 2022 checkpointing every 2380000 dimensions Thu Dec 22 11:00:09 2022 lanczos halted after 26031 iterations (dim = 6643853) Thu Dec 22 11:00:33 2022 recovered 36 nontrivial dependencies Thu Dec 22 11:00:34 2022 BLanczosTime: 10367 Thu Dec 22 11:00:34 2022 Thu Dec 22 11:00:34 2022 commencing square root phase Thu Dec 22 11:00:34 2022 handling dependencies 1 to 64 Thu Dec 22 11:00:34 2022 reading relations for dependency 1 Thu Dec 22 11:00:47 2022 read 3322003 cycles Thu Dec 22 11:00:52 2022 cycles contain 10507638 unique relations Thu Dec 22 11:01:49 2022 read 10507638 relations Thu Dec 22 11:02:23 2022 multiplying 10507638 relations Thu Dec 22 11:07:13 2022 multiply complete, coefficients have about 258.21 million bits Thu Dec 22 11:07:15 2022 initial square root is modulo 1845843907 Thu Dec 22 11:12:41 2022 sqrtTime: 727 Thu Dec 22 11:12:41 2022 p64 factor: 5913575097089933710900176454230438195518734996798092479744797303 Thu Dec 22 11:12:41 2022 p117 factor: 863445481238603911326299467347601736177171748235027398096561644914491160897585067911824633431995927842582587353697957 Thu Dec 22 11:12:41 2022 elapsed time 03:04:54