Fri May 01 21:27:06 2020 Fri May 01 21:27:06 2020 Fri May 01 21:27:06 2020 Msieve v. 1.52 (SVN unknown) Fri May 01 21:27:06 2020 random seeds: 4d345c54 f677a3b4 Fri May 01 21:27:06 2020 factoring 2196446137359053106938322843888526731641085452277355711119901549757077396118238170925287354800180824402178087712112553739977989723468961792365780938151711139319035812841928902047665717382284057567 (196 digits) Fri May 01 21:27:07 2020 no P-1/P+1/ECM available, skipping Fri May 01 21:27:07 2020 commencing number field sieve (196-digit input) Fri May 01 21:27:07 2020 R0: 7527146673760832665395038537255591018765521 Fri May 01 21:27:07 2020 R1: -1 Fri May 01 21:27:07 2020 A0: -52379047267 Fri May 01 21:27:07 2020 A1: 0 Fri May 01 21:27:07 2020 A2: 0 Fri May 01 21:27:07 2020 A3: 0 Fri May 01 21:27:07 2020 A4: 0 Fri May 01 21:27:07 2020 A5: 0 Fri May 01 21:27:07 2020 A6: 1 Fri May 01 21:27:07 2020 skew 61.17, size 2.730e-013, alpha -2.577, combined = 4.752e-014 rroots = 2 Fri May 01 21:27:07 2020 Fri May 01 21:27:07 2020 commencing relation filtering Fri May 01 21:27:07 2020 setting target matrix density to 122.0 Fri May 01 21:27:07 2020 estimated available RAM is 16289.0 MB Fri May 01 21:27:07 2020 commencing duplicate removal, pass 1 Fri May 01 21:27:19 2020 error -15 reading relation 1330492 Fri May 01 21:27:50 2020 error -5 reading relation 4860317 Fri May 01 21:27:50 2020 error -15 reading relation 4860765 Fri May 01 21:27:50 2020 error -1 reading relation 4860766 Fri May 01 21:27:58 2020 error -9 reading relation 5692490 Fri May 01 21:28:07 2020 error -15 reading relation 6776102 Fri May 01 21:28:10 2020 error -9 reading relation 7091863 Fri May 01 22:20:07 2020 error -9 reading relation 288227150 Fri May 01 22:20:07 2020 error -15 reading relation 288241071 Fri May 01 22:20:07 2020 error -9 reading relation 288241316 Fri May 01 22:20:07 2020 error -9 reading relation 288243097 Fri May 01 22:20:09 2020 error -1 reading relation 288453906 Fri May 01 22:20:10 2020 skipped 2 relations with b > 2^32 Fri May 01 22:20:10 2020 found 76434729 hash collisions in 288489419 relations Fri May 01 22:20:36 2020 added 1219804 free relations Fri May 01 22:20:36 2020 commencing duplicate removal, pass 2 Fri May 01 22:30:46 2020 found 89383338 duplicates and 200325885 unique relations Fri May 01 22:30:46 2020 memory use: 1449.5 MB Fri May 01 22:30:47 2020 reading ideals above 250150912 Fri May 01 22:30:47 2020 commencing singleton removal, initial pass Fri May 01 23:17:28 2020 memory use: 3012.0 MB Fri May 01 23:17:28 2020 reading all ideals from disk Fri May 01 23:17:30 2020 memory use: 3289.4 MB Fri May 01 23:17:36 2020 commencing in-memory singleton removal Fri May 01 23:17:42 2020 begin with 200325885 relations and 155977185 unique ideals Fri May 01 23:18:50 2020 reduce to 139613710 relations and 89884621 ideals in 13 passes Fri May 01 23:18:50 2020 max relations containing the same ideal: 34 Fri May 01 23:19:02 2020 reading ideals above 720000 Fri May 01 23:19:03 2020 commencing singleton removal, initial pass Sat May 02 00:03:38 2020 memory use: 3012.0 MB Sat May 02 00:03:38 2020 reading all ideals from disk Sat May 02 00:05:02 2020 memory use: 5796.9 MB Sat May 02 00:05:17 2020 keeping 116498406 ideals with weight <= 200, target excess is 752808 Sat May 02 00:05:33 2020 commencing in-memory singleton removal Sat May 02 00:05:45 2020 begin with 139613710 relations and 116498406 unique ideals Sat May 02 00:08:04 2020 reduce to 139508905 relations and 116393595 ideals in 11 passes Sat May 02 00:08:04 2020 max relations containing the same ideal: 200 Sat May 02 00:09:05 2020 removing 10979935 relations and 8979935 ideals in 2000000 cliques Sat May 02 00:09:08 2020 commencing in-memory singleton removal Sat May 02 00:09:19 2020 begin with 128528970 relations and 116393595 unique ideals Sat May 02 00:10:51 2020 reduce to 127822927 relations and 106694182 ideals in 8 passes Sat May 02 00:10:51 2020 max relations containing the same ideal: 197 Sat May 02 00:11:47 2020 removing 8467694 relations and 6467694 ideals in 2000000 cliques Sat May 02 00:11:50 2020 commencing in-memory singleton removal Sat May 02 00:12:00 2020 begin with 119355233 relations and 106694182 unique ideals Sat May 02 00:13:25 2020 reduce to 118882189 relations and 99745736 ideals in 8 passes Sat May 02 00:13:25 2020 max relations containing the same ideal: 191 Sat May 02 00:14:18 2020 removing 7714657 relations and 5714657 ideals in 2000000 cliques Sat May 02 00:14:21 2020 commencing in-memory singleton removal Sat May 02 00:14:30 2020 begin with 111167532 relations and 99745736 unique ideals Sat May 02 00:15:39 2020 reduce to 110750547 relations and 93607193 ideals in 7 passes Sat May 02 00:15:39 2020 max relations containing the same ideal: 182 Sat May 02 00:16:28 2020 removing 7342879 relations and 5342879 ideals in 2000000 cliques Sat May 02 00:16:31 2020 commencing in-memory singleton removal Sat May 02 00:16:39 2020 begin with 103407668 relations and 93607193 unique ideals Sat May 02 00:17:43 2020 reduce to 103010352 relations and 87860238 ideals in 7 passes Sat May 02 00:17:43 2020 max relations containing the same ideal: 174 Sat May 02 00:18:31 2020 removing 7113058 relations and 5113058 ideals in 2000000 cliques Sat May 02 00:18:33 2020 commencing in-memory singleton removal Sat May 02 00:18:41 2020 begin with 95897294 relations and 87860238 unique ideals Sat May 02 00:19:40 2020 reduce to 95506556 relations and 82349557 ideals in 7 passes Sat May 02 00:19:40 2020 max relations containing the same ideal: 166 Sat May 02 00:20:23 2020 removing 6965895 relations and 4965895 ideals in 2000000 cliques Sat May 02 00:20:26 2020 commencing in-memory singleton removal Sat May 02 00:20:33 2020 begin with 88540661 relations and 82349557 unique ideals Sat May 02 00:21:27 2020 reduce to 88145069 relations and 76980649 ideals in 7 passes Sat May 02 00:21:27 2020 max relations containing the same ideal: 158 Sat May 02 00:22:07 2020 removing 6863463 relations and 4863463 ideals in 2000000 cliques Sat May 02 00:22:09 2020 commencing in-memory singleton removal Sat May 02 00:22:16 2020 begin with 81281606 relations and 76980649 unique ideals Sat May 02 00:23:05 2020 reduce to 80878173 relations and 71705697 ideals in 7 passes Sat May 02 00:23:05 2020 max relations containing the same ideal: 151 Sat May 02 00:23:43 2020 removing 6794582 relations and 4794582 ideals in 2000000 cliques Sat May 02 00:23:45 2020 commencing in-memory singleton removal Sat May 02 00:23:50 2020 begin with 74083591 relations and 71705697 unique ideals Sat May 02 00:24:35 2020 reduce to 73659764 relations and 66478317 ideals in 7 passes Sat May 02 00:24:35 2020 max relations containing the same ideal: 140 Sat May 02 00:25:10 2020 removing 6761011 relations and 4761011 ideals in 2000000 cliques Sat May 02 00:25:12 2020 commencing in-memory singleton removal Sat May 02 00:25:17 2020 begin with 66898753 relations and 66478317 unique ideals Sat May 02 00:26:02 2020 reduce to 66450253 relations and 61258263 ideals in 8 passes Sat May 02 00:26:02 2020 max relations containing the same ideal: 131 Sat May 02 00:26:34 2020 removing 6736179 relations and 4736179 ideals in 2000000 cliques Sat May 02 00:26:36 2020 commencing in-memory singleton removal Sat May 02 00:26:41 2020 begin with 59714074 relations and 61258263 unique ideals Sat May 02 00:27:16 2020 reduce to 59223086 relations and 56018625 ideals in 7 passes Sat May 02 00:27:16 2020 max relations containing the same ideal: 120 Sat May 02 00:27:44 2020 removing 6743713 relations and 4743713 ideals in 2000000 cliques Sat May 02 00:27:46 2020 commencing in-memory singleton removal Sat May 02 00:27:50 2020 begin with 52479373 relations and 56018625 unique ideals Sat May 02 00:28:26 2020 reduce to 51925949 relations and 50705631 ideals in 8 passes Sat May 02 00:28:26 2020 max relations containing the same ideal: 109 Sat May 02 00:28:51 2020 removing 1637396 relations and 1290336 ideals in 347060 cliques Sat May 02 00:28:52 2020 commencing in-memory singleton removal Sat May 02 00:28:56 2020 begin with 50288553 relations and 50705631 unique ideals Sat May 02 00:29:21 2020 reduce to 50254247 relations and 49380785 ideals in 6 passes Sat May 02 00:29:21 2020 max relations containing the same ideal: 108 Sat May 02 00:29:52 2020 relations with 0 large ideals: 25669 Sat May 02 00:29:52 2020 relations with 1 large ideals: 6329 Sat May 02 00:29:52 2020 relations with 2 large ideals: 94611 Sat May 02 00:29:52 2020 relations with 3 large ideals: 712936 Sat May 02 00:29:52 2020 relations with 4 large ideals: 2952741 Sat May 02 00:29:52 2020 relations with 5 large ideals: 7442853 Sat May 02 00:29:52 2020 relations with 6 large ideals: 11978658 Sat May 02 00:29:52 2020 relations with 7+ large ideals: 27040450 Sat May 02 00:29:52 2020 commencing 2-way merge Sat May 02 00:30:27 2020 reduce to 34135156 relation sets and 33261694 unique ideals Sat May 02 00:30:27 2020 commencing full merge Sat May 02 00:47:05 2020 memory use: 4425.2 MB Sat May 02 00:47:13 2020 found 15369452 cycles, need 15327894 Sat May 02 00:47:14 2020 weight of 15327894 cycles is about 1870373960 (122.02/cycle) Sat May 02 00:47:14 2020 distribution of cycle lengths: Sat May 02 00:47:14 2020 1 relations: 668079 Sat May 02 00:47:14 2020 2 relations: 914354 Sat May 02 00:47:14 2020 3 relations: 1084666 Sat May 02 00:47:14 2020 4 relations: 1131430 Sat May 02 00:47:14 2020 5 relations: 1165772 Sat May 02 00:47:14 2020 6 relations: 1149829 Sat May 02 00:47:14 2020 7 relations: 1124342 Sat May 02 00:47:14 2020 8 relations: 1067824 Sat May 02 00:47:14 2020 9 relations: 1000877 Sat May 02 00:47:14 2020 10+ relations: 6020721 Sat May 02 00:47:14 2020 heaviest cycle: 28 relations Sat May 02 00:47:38 2020 commencing cycle optimization Sat May 02 00:48:07 2020 start with 134460932 relations Sat May 02 00:54:59 2020 pruned 6562124 relations Sat May 02 00:54:59 2020 memory use: 3480.1 MB Sat May 02 00:54:59 2020 distribution of cycle lengths: Sat May 02 00:54:59 2020 1 relations: 668079 Sat May 02 00:54:59 2020 2 relations: 938270 Sat May 02 00:54:59 2020 3 relations: 1133386 Sat May 02 00:54:59 2020 4 relations: 1183446 Sat May 02 00:54:59 2020 5 relations: 1229512 Sat May 02 00:54:59 2020 6 relations: 1210599 Sat May 02 00:54:59 2020 7 relations: 1186649 Sat May 02 00:54:59 2020 8 relations: 1121968 Sat May 02 00:54:59 2020 9 relations: 1048342 Sat May 02 00:54:59 2020 10+ relations: 5607643 Sat May 02 00:54:59 2020 heaviest cycle: 28 relations Sat May 02 00:55:37 2020 RelProcTime: 12510 Sat May 02 00:55:38 2020 Sat May 02 00:55:38 2020 commencing linear algebra Sat May 02 00:55:42 2020 read 15327894 cycles Sat May 02 00:56:16 2020 cycles contain 49839209 unique relations Sat May 02 01:11:03 2020 read 49839209 relations Sat May 02 01:12:42 2020 using 20 quadratic characters above 2147482082 Sat May 02 01:16:03 2020 building initial matrix Sat May 02 01:29:22 2020 memory use: 6874.4 MB Sat May 02 01:31:28 2020 read 15327894 cycles Sat May 02 01:31:33 2020 matrix is 15327717 x 15327894 (7339.0 MB) with weight 2218645519 (144.75/col) Sat May 02 01:31:33 2020 sparse part has weight 1755274944 (114.52/col) Sat May 02 01:35:00 2020 filtering completed in 2 passes Sat May 02 01:35:05 2020 matrix is 15327569 x 15327746 (7339.0 MB) with weight 2218639055 (144.75/col) Sat May 02 01:35:05 2020 sparse part has weight 1755273012 (114.52/col) Sat May 02 01:45:59 2020 matrix starts at (0, 0) Sat May 02 01:46:05 2020 matrix is 15327569 x 15327746 (7339.0 MB) with weight 2218639055 (144.75/col) Sat May 02 01:46:05 2020 sparse part has weight 1755273012 (114.52/col) Sat May 02 01:46:05 2020 saving the first 48 matrix rows for later Sat May 02 01:46:10 2020 matrix includes 64 packed rows Sat May 02 01:46:13 2020 matrix is 15327521 x 15327746 (7160.8 MB) with weight 1906275747 (124.37/col) Sat May 02 01:46:13 2020 sparse part has weight 1723879797 (112.47/col) Sat May 02 01:46:13 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB Sat May 02 01:47:53 2020 commencing Lanczos iteration (4 threads) Sat May 02 01:47:53 2020 memory use: 6107.2 MB Sat May 02 01:50:18 2020 linear algebra at 0.0%, ETA 391h22m Sat May 02 01:51:04 2020 checkpointing every 40000 dimensions Fri May 08 08:07:35 2020 Fri May 08 08:07:35 2020 Fri May 08 08:07:35 2020 Msieve v. 1.52 (SVN unknown) Fri May 08 08:07:35 2020 random seeds: fd6b5738 fd32118a Fri May 08 08:07:35 2020 factoring 2196446137359053106938322843888526731641085452277355711119901549757077396118238170925287354800180824402178087712112553739977989723468961792365780938151711139319035812841928902047665717382284057567 (196 digits) Fri May 08 08:07:36 2020 no P-1/P+1/ECM available, skipping Fri May 08 08:07:37 2020 commencing number field sieve (196-digit input) Fri May 08 08:07:37 2020 R0: 7527146673760832665395038537255591018765521 Fri May 08 08:07:37 2020 R1: -1 Fri May 08 08:07:37 2020 A0: -52379047267 Fri May 08 08:07:37 2020 A1: 0 Fri May 08 08:07:37 2020 A2: 0 Fri May 08 08:07:37 2020 A3: 0 Fri May 08 08:07:37 2020 A4: 0 Fri May 08 08:07:37 2020 A5: 0 Fri May 08 08:07:37 2020 A6: 1 Fri May 08 08:07:37 2020 skew 61.17, size 2.730e-013, alpha -2.577, combined = 4.752e-014 rroots = 2 Fri May 08 08:07:37 2020 Fri May 08 08:07:37 2020 commencing linear algebra Fri May 08 08:09:24 2020 matrix starts at (0, 0) Fri May 08 08:09:30 2020 matrix is 15327569 x 15327746 (7339.0 MB) with weight 2218639055 (144.75/col) Fri May 08 08:09:30 2020 sparse part has weight 1755273012 (114.52/col) Fri May 08 08:09:30 2020 saving the first 48 matrix rows for later Fri May 08 08:09:35 2020 matrix includes 64 packed rows Fri May 08 08:09:38 2020 matrix is 15327521 x 15327746 (7160.8 MB) with weight 1906275747 (124.37/col) Fri May 08 08:09:38 2020 sparse part has weight 1723879797 (112.47/col) Fri May 08 08:09:39 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB Fri May 08 08:11:17 2020 commencing Lanczos iteration (8 threads) Fri May 08 08:11:17 2020 memory use: 6107.3 MB Fri May 08 08:11:26 2020 restarting at iteration 46177 (dim = 2920020) Fri May 08 08:13:48 2020 linear algebra at 19.1%, ETA 322h47m Fri May 08 08:14:35 2020 checkpointing every 40000 dimensions Wed May 13 20:59:37 2020 Wed May 13 20:59:37 2020 Wed May 13 20:59:37 2020 Msieve v. 1.52 (SVN unknown) Wed May 13 20:59:37 2020 random seeds: 99c712d8 5a0ab1aa Wed May 13 20:59:37 2020 factoring 2196446137359053106938322843888526731641085452277355711119901549757077396118238170925287354800180824402178087712112553739977989723468961792365780938151711139319035812841928902047665717382284057567 (196 digits) Wed May 13 20:59:37 2020 no P-1/P+1/ECM available, skipping Wed May 13 20:59:37 2020 commencing number field sieve (196-digit input) Wed May 13 20:59:37 2020 R0: 7527146673760832665395038537255591018765521 Wed May 13 20:59:37 2020 R1: -1 Wed May 13 20:59:37 2020 A0: -52379047267 Wed May 13 20:59:37 2020 A1: 0 Wed May 13 20:59:37 2020 A2: 0 Wed May 13 20:59:37 2020 A3: 0 Wed May 13 20:59:37 2020 A4: 0 Wed May 13 20:59:37 2020 A5: 0 Wed May 13 20:59:37 2020 A6: 1 Wed May 13 20:59:37 2020 skew 61.17, size 2.730e-013, alpha -2.577, combined = 4.752e-014 rroots = 2 Wed May 13 20:59:37 2020 Wed May 13 20:59:37 2020 commencing linear algebra Wed May 13 21:01:05 2020 matrix starts at (0, 0) Wed May 13 21:01:11 2020 matrix is 15327569 x 15327746 (7339.0 MB) with weight 2218639055 (144.75/col) Wed May 13 21:01:11 2020 sparse part has weight 1755273012 (114.52/col) Wed May 13 21:01:11 2020 saving the first 48 matrix rows for later Wed May 13 21:01:15 2020 matrix includes 64 packed rows Wed May 13 21:01:19 2020 matrix is 15327521 x 15327746 (7160.8 MB) with weight 1906275747 (124.37/col) Wed May 13 21:01:19 2020 sparse part has weight 1723879797 (112.47/col) Wed May 13 21:01:19 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB Wed May 13 21:02:55 2020 commencing Lanczos iteration (8 threads) Wed May 13 21:02:55 2020 memory use: 6107.3 MB Wed May 13 21:03:05 2020 restarting at iteration 128412 (dim = 8120040) Wed May 13 21:05:23 2020 linear algebra at 53.0%, ETA 181h51m Wed May 13 21:06:04 2020 checkpointing every 40000 dimensions Thu May 21 12:42:19 2020 lanczos halted after 242397 iterations (dim = 15327516) Thu May 21 12:42:41 2020 recovered 34 nontrivial dependencies Thu May 21 12:43:19 2020 BLanczosTime: 661422 Thu May 21 12:43:19 2020 Thu May 21 12:43:19 2020 commencing square root phase Thu May 21 12:43:20 2020 reading relations for dependency 1 Thu May 21 12:43:30 2020 read 7663532 cycles Thu May 21 12:43:45 2020 cycles contain 24918756 unique relations Thu May 21 12:53:26 2020 read 24918756 relations Thu May 21 12:55:43 2020 multiplying 24918756 relations Thu May 21 13:20:16 2020 multiply complete, coefficients have about 726.16 million bits Thu May 21 13:20:24 2020 initial square root is modulo 3271357 Thu May 21 13:51:34 2020 GCD is N, no factor found Thu May 21 13:51:34 2020 reading relations for dependency 2 Thu May 21 13:52:27 2020 read 7664677 cycles Thu May 21 13:52:41 2020 cycles contain 24924786 unique relations Thu May 21 14:01:52 2020 read 24924786 relations Thu May 21 14:04:08 2020 multiplying 24924786 relations Thu May 21 14:28:42 2020 multiply complete, coefficients have about 726.34 million bits Thu May 21 14:28:50 2020 initial square root is modulo 3283993 Thu May 21 15:00:00 2020 sqrtTime: 8201 Thu May 21 15:00:00 2020 prp87 factor: 326040747598779746472656597570062977762069838409928588063323020703736921176230325769107 Thu May 21 15:00:00 2020 prp109 factor: 6736722797795699866979043086500444885051704600714191092137291937699927058689465365711083879563683132972555781 Thu May 21 15:00:00 2020 elapsed time 186:00:23