Fri Feb 15 10:29:26 2019 Fri Feb 15 10:29:26 2019 Fri Feb 15 10:29:26 2019 Msieve v. 1.54 (SVN 1025) Fri Feb 15 10:29:26 2019 random seeds: a5241cc4 d86a21a7 Fri Feb 15 10:29:26 2019 factoring 891347703276396189391795049746278719582197644073369459144339691046698998534105083695619205508739974294190187088301039165902275310124006673988361342690023322718368622172628150557552024657987965639981080444257 (207 digits) Fri Feb 15 10:29:26 2019 searching for 15-digit factors Fri Feb 15 10:29:27 2019 commencing number field sieve (207-digit input) Fri Feb 15 10:29:27 2019 R0: 8505622499821102144576131684114829934592 Fri Feb 15 10:29:27 2019 R1: -72759576141834259033203125 Fri Feb 15 10:29:27 2019 A0: 1 Fri Feb 15 10:29:27 2019 A1: 1 Fri Feb 15 10:29:27 2019 A2: 1 Fri Feb 15 10:29:27 2019 A3: 1 Fri Feb 15 10:29:27 2019 A4: 1 Fri Feb 15 10:29:27 2019 A5: 1 Fri Feb 15 10:29:27 2019 A6: 1 Fri Feb 15 10:29:27 2019 skew 1.00, size 7.593e-12, alpha 2.428, combined = 5.214e-13 rroots = 0 Fri Feb 15 10:29:27 2019 Fri Feb 15 10:29:27 2019 commencing relation filtering Fri Feb 15 10:29:27 2019 setting target matrix density to 124.0 Fri Feb 15 10:29:27 2019 estimated available RAM is 15988.9 MB Fri Feb 15 10:29:27 2019 commencing duplicate removal, pass 1 Fri Feb 15 10:42:23 2019 error -5 reading relation 121269362 Fri Feb 15 10:45:55 2019 error -15 reading relation 154228670 Fri Feb 15 10:47:04 2019 error -5 reading relation 165041733 Fri Feb 15 10:48:19 2019 error -15 reading relation 176707259 Fri Feb 15 10:52:05 2019 skipped 70 relations with b > 2^32 Fri Feb 15 10:52:05 2019 skipped 3 relations with composite factors Fri Feb 15 10:52:05 2019 found 9559689 hash collisions in 209098825 relations Fri Feb 15 10:52:05 2019 commencing duplicate removal, pass 2 Fri Feb 15 10:52:47 2019 found 0 duplicates and 209098825 unique relations Fri Feb 15 10:52:47 2019 memory use: 522.4 MB Fri Feb 15 10:52:47 2019 reading ideals above 129957888 Fri Feb 15 10:52:47 2019 commencing singleton removal, initial pass Fri Feb 15 11:09:40 2019 memory use: 3012.0 MB Fri Feb 15 11:09:40 2019 reading all ideals from disk Fri Feb 15 11:09:45 2019 memory use: 3582.5 MB Fri Feb 15 11:09:52 2019 commencing in-memory singleton removal Fri Feb 15 11:09:59 2019 begin with 209098825 relations and 162970959 unique ideals Fri Feb 15 11:11:17 2019 reduce to 145414322 relations and 93457474 ideals in 12 passes Fri Feb 15 11:11:17 2019 max relations containing the same ideal: 45 Fri Feb 15 11:11:24 2019 reading ideals above 720000 Fri Feb 15 11:11:24 2019 commencing singleton removal, initial pass Fri Feb 15 11:26:40 2019 memory use: 3012.0 MB Fri Feb 15 11:26:40 2019 reading all ideals from disk Fri Feb 15 11:26:50 2019 memory use: 5635.2 MB Fri Feb 15 11:27:05 2019 keeping 107476344 ideals with weight <= 200, target excess is 731080 Fri Feb 15 11:27:20 2019 commencing in-memory singleton removal Fri Feb 15 11:27:32 2019 begin with 145414322 relations and 107476344 unique ideals Fri Feb 15 11:28:18 2019 reduce to 145414307 relations and 107476329 ideals in 4 passes Fri Feb 15 11:28:18 2019 max relations containing the same ideal: 200 Fri Feb 15 11:29:11 2019 removing 9746543 relations and 7746543 ideals in 2000000 cliques Fri Feb 15 11:29:14 2019 commencing in-memory singleton removal Fri Feb 15 11:29:25 2019 begin with 135667764 relations and 107476329 unique ideals Fri Feb 15 11:30:50 2019 reduce to 135182249 relations and 99235735 ideals in 8 passes Fri Feb 15 11:30:50 2019 max relations containing the same ideal: 198 Fri Feb 15 11:31:39 2019 removing 7434502 relations and 5434502 ideals in 2000000 cliques Fri Feb 15 11:31:42 2019 commencing in-memory singleton removal Fri Feb 15 11:31:52 2019 begin with 127747747 relations and 99235735 unique ideals Fri Feb 15 11:33:01 2019 reduce to 127422795 relations and 93471360 ideals in 7 passes Fri Feb 15 11:33:01 2019 max relations containing the same ideal: 192 Fri Feb 15 11:33:47 2019 removing 6770181 relations and 4770181 ideals in 2000000 cliques Fri Feb 15 11:33:50 2019 commencing in-memory singleton removal Fri Feb 15 11:33:59 2019 begin with 120652614 relations and 93471360 unique ideals Fri Feb 15 11:34:55 2019 reduce to 120372405 relations and 88416747 ideals in 6 passes Fri Feb 15 11:34:55 2019 max relations containing the same ideal: 186 Fri Feb 15 11:35:39 2019 removing 6425058 relations and 4425058 ideals in 2000000 cliques Fri Feb 15 11:35:41 2019 commencing in-memory singleton removal Fri Feb 15 11:35:50 2019 begin with 113947347 relations and 88416747 unique ideals Fri Feb 15 11:36:42 2019 reduce to 113689351 relations and 83729722 ideals in 6 passes Fri Feb 15 11:36:42 2019 max relations containing the same ideal: 180 Fri Feb 15 11:37:23 2019 removing 6200920 relations and 4200920 ideals in 2000000 cliques Fri Feb 15 11:37:26 2019 commencing in-memory singleton removal Fri Feb 15 11:37:34 2019 begin with 107488431 relations and 83729722 unique ideals Fri Feb 15 11:38:31 2019 reduce to 107244127 relations and 79280508 ideals in 7 passes Fri Feb 15 11:38:31 2019 max relations containing the same ideal: 176 Fri Feb 15 11:39:10 2019 removing 6042691 relations and 4042691 ideals in 2000000 cliques Fri Feb 15 11:39:13 2019 commencing in-memory singleton removal Fri Feb 15 11:39:20 2019 begin with 101201436 relations and 79280508 unique ideals Fri Feb 15 11:40:06 2019 reduce to 100963119 relations and 74995427 ideals in 6 passes Fri Feb 15 11:40:06 2019 max relations containing the same ideal: 168 Fri Feb 15 11:40:43 2019 removing 5926507 relations and 3926507 ideals in 2000000 cliques Fri Feb 15 11:40:45 2019 commencing in-memory singleton removal Fri Feb 15 11:40:52 2019 begin with 95036612 relations and 74995427 unique ideals Fri Feb 15 11:41:35 2019 reduce to 94799491 relations and 70827409 ideals in 6 passes Fri Feb 15 11:41:35 2019 max relations containing the same ideal: 162 Fri Feb 15 11:42:10 2019 removing 5839695 relations and 3839695 ideals in 2000000 cliques Fri Feb 15 11:42:12 2019 commencing in-memory singleton removal Fri Feb 15 11:42:19 2019 begin with 88959796 relations and 70827409 unique ideals Fri Feb 15 11:42:58 2019 reduce to 88719466 relations and 66742766 ideals in 6 passes Fri Feb 15 11:42:58 2019 max relations containing the same ideal: 155 Fri Feb 15 11:43:31 2019 removing 5771893 relations and 3771893 ideals in 2000000 cliques Fri Feb 15 11:43:32 2019 commencing in-memory singleton removal Fri Feb 15 11:43:39 2019 begin with 82947573 relations and 66742766 unique ideals Fri Feb 15 11:44:16 2019 reduce to 82701735 relations and 62719896 ideals in 6 passes Fri Feb 15 11:44:16 2019 max relations containing the same ideal: 147 Fri Feb 15 11:44:45 2019 removing 5719108 relations and 3719108 ideals in 2000000 cliques Fri Feb 15 11:44:47 2019 commencing in-memory singleton removal Fri Feb 15 11:44:53 2019 begin with 76982627 relations and 62719896 unique ideals Fri Feb 15 11:45:27 2019 reduce to 76728333 relations and 58740959 ideals in 6 passes Fri Feb 15 11:45:27 2019 max relations containing the same ideal: 140 Fri Feb 15 11:45:55 2019 removing 5683629 relations and 3683629 ideals in 2000000 cliques Fri Feb 15 11:45:56 2019 commencing in-memory singleton removal Fri Feb 15 11:46:02 2019 begin with 71044704 relations and 58740959 unique ideals Fri Feb 15 11:46:33 2019 reduce to 70776970 relations and 54783178 ideals in 6 passes Fri Feb 15 11:46:33 2019 max relations containing the same ideal: 135 Fri Feb 15 11:46:58 2019 removing 5662814 relations and 3662814 ideals in 2000000 cliques Fri Feb 15 11:47:00 2019 commencing in-memory singleton removal Fri Feb 15 11:47:05 2019 begin with 65114156 relations and 54783178 unique ideals Fri Feb 15 11:47:38 2019 reduce to 64829486 relations and 50828487 ideals in 7 passes Fri Feb 15 11:47:38 2019 max relations containing the same ideal: 126 Fri Feb 15 11:48:01 2019 removing 5648093 relations and 3648093 ideals in 2000000 cliques Fri Feb 15 11:48:02 2019 commencing in-memory singleton removal Fri Feb 15 11:48:06 2019 begin with 59181393 relations and 50828487 unique ideals Fri Feb 15 11:48:31 2019 reduce to 58878595 relations and 46869416 ideals in 7 passes Fri Feb 15 11:48:31 2019 max relations containing the same ideal: 118 Fri Feb 15 11:48:50 2019 removing 5641022 relations and 3641022 ideals in 2000000 cliques Fri Feb 15 11:48:52 2019 commencing in-memory singleton removal Fri Feb 15 11:48:55 2019 begin with 53237573 relations and 46869416 unique ideals Fri Feb 15 11:49:17 2019 reduce to 52906003 relations and 42886941 ideals in 7 passes Fri Feb 15 11:49:17 2019 max relations containing the same ideal: 111 Fri Feb 15 11:49:34 2019 removing 5649081 relations and 3649081 ideals in 2000000 cliques Fri Feb 15 11:49:36 2019 commencing in-memory singleton removal Fri Feb 15 11:49:38 2019 begin with 47256922 relations and 42886941 unique ideals Fri Feb 15 11:49:55 2019 reduce to 46891702 relations and 38860850 ideals in 6 passes Fri Feb 15 11:49:55 2019 max relations containing the same ideal: 102 Fri Feb 15 11:50:10 2019 removing 5658825 relations and 3658825 ideals in 2000000 cliques Fri Feb 15 11:50:12 2019 commencing in-memory singleton removal Fri Feb 15 11:50:14 2019 begin with 41232877 relations and 38860850 unique ideals Fri Feb 15 11:50:31 2019 reduce to 40826198 relations and 34780365 ideals in 7 passes Fri Feb 15 11:50:31 2019 max relations containing the same ideal: 93 Fri Feb 15 11:50:44 2019 removing 5672429 relations and 3672429 ideals in 2000000 cliques Fri Feb 15 11:50:46 2019 commencing in-memory singleton removal Fri Feb 15 11:50:48 2019 begin with 35153769 relations and 34780365 unique ideals Fri Feb 15 11:51:04 2019 reduce to 34691866 relations and 30626942 ideals in 8 passes Fri Feb 15 11:51:04 2019 max relations containing the same ideal: 82 Fri Feb 15 11:51:16 2019 removing 5687042 relations and 3687042 ideals in 2000000 cliques Fri Feb 15 11:51:17 2019 commencing in-memory singleton removal Fri Feb 15 11:51:19 2019 begin with 29004824 relations and 30626942 unique ideals Fri Feb 15 11:51:30 2019 reduce to 28460817 relations and 26369694 ideals in 7 passes Fri Feb 15 11:51:30 2019 max relations containing the same ideal: 71 Fri Feb 15 11:51:40 2019 removing 3827192 relations and 2584122 ideals in 1243070 cliques Fri Feb 15 11:51:41 2019 commencing in-memory singleton removal Fri Feb 15 11:51:42 2019 begin with 24633625 relations and 26369694 unique ideals Fri Feb 15 11:51:53 2019 reduce to 24290542 relations and 23429211 ideals in 8 passes Fri Feb 15 11:51:53 2019 max relations containing the same ideal: 62 Fri Feb 15 11:52:01 2019 removing 79880 relations and 66602 ideals in 13278 cliques Fri Feb 15 11:52:02 2019 commencing in-memory singleton removal Fri Feb 15 11:52:03 2019 begin with 24210662 relations and 23429211 unique ideals Fri Feb 15 11:52:09 2019 reduce to 24210485 relations and 23362432 ideals in 4 passes Fri Feb 15 11:52:09 2019 max relations containing the same ideal: 62 Fri Feb 15 11:52:12 2019 relations with 0 large ideals: 50173 Fri Feb 15 11:52:12 2019 relations with 1 large ideals: 15430 Fri Feb 15 11:52:12 2019 relations with 2 large ideals: 192842 Fri Feb 15 11:52:12 2019 relations with 3 large ideals: 1094693 Fri Feb 15 11:52:12 2019 relations with 4 large ideals: 3273158 Fri Feb 15 11:52:12 2019 relations with 5 large ideals: 5743233 Fri Feb 15 11:52:12 2019 relations with 6 large ideals: 6233696 Fri Feb 15 11:52:12 2019 relations with 7+ large ideals: 7607260 Fri Feb 15 11:52:12 2019 commencing 2-way merge Fri Feb 15 11:52:22 2019 reduce to 16598609 relation sets and 15750556 unique ideals Fri Feb 15 11:52:22 2019 commencing full merge Fri Feb 15 11:57:46 2019 memory use: 2170.1 MB Fri Feb 15 11:57:48 2019 found 7380942 cycles, need 7370756 Fri Feb 15 11:57:50 2019 weight of 7370756 cycles is about 914041330 (124.01/cycle) Fri Feb 15 11:57:50 2019 distribution of cycle lengths: Fri Feb 15 11:57:50 2019 1 relations: 246448 Fri Feb 15 11:57:50 2019 2 relations: 344485 Fri Feb 15 11:57:50 2019 3 relations: 429794 Fri Feb 15 11:57:50 2019 4 relations: 472793 Fri Feb 15 11:57:50 2019 5 relations: 506781 Fri Feb 15 11:57:50 2019 6 relations: 520650 Fri Feb 15 11:57:50 2019 7 relations: 521064 Fri Feb 15 11:57:50 2019 8 relations: 509207 Fri Feb 15 11:57:50 2019 9 relations: 486199 Fri Feb 15 11:57:50 2019 10+ relations: 3333335 Fri Feb 15 11:57:50 2019 heaviest cycle: 28 relations Fri Feb 15 11:57:51 2019 commencing cycle optimization Fri Feb 15 11:58:05 2019 start with 71402716 relations Fri Feb 15 12:00:25 2019 pruned 4152542 relations Fri Feb 15 12:00:26 2019 memory use: 1737.7 MB Fri Feb 15 12:00:26 2019 distribution of cycle lengths: Fri Feb 15 12:00:26 2019 1 relations: 246448 Fri Feb 15 12:00:26 2019 2 relations: 352964 Fri Feb 15 12:00:26 2019 3 relations: 448177 Fri Feb 15 12:00:26 2019 4 relations: 495365 Fri Feb 15 12:00:26 2019 5 relations: 537924 Fri Feb 15 12:00:26 2019 6 relations: 554096 Fri Feb 15 12:00:26 2019 7 relations: 559555 Fri Feb 15 12:00:26 2019 8 relations: 544682 Fri Feb 15 12:00:26 2019 9 relations: 520341 Fri Feb 15 12:00:26 2019 10+ relations: 3111204 Fri Feb 15 12:00:26 2019 heaviest cycle: 28 relations Fri Feb 15 12:00:36 2019 RelProcTime: 5469 Fri Feb 15 12:00:38 2019 Fri Feb 15 12:00:38 2019 commencing linear algebra Fri Feb 15 12:00:39 2019 read 7370756 cycles Fri Feb 15 12:00:51 2019 cycles contain 23828485 unique relations Fri Feb 15 12:02:52 2019 read 23828485 relations Fri Feb 15 12:03:25 2019 using 20 quadratic characters above 4294917295 Fri Feb 15 12:04:42 2019 building initial matrix Fri Feb 15 12:08:28 2019 memory use: 2992.5 MB Fri Feb 15 12:08:30 2019 read 7370756 cycles Fri Feb 15 12:08:31 2019 matrix is 7370579 x 7370756 (3521.6 MB) with weight 1003323002 (136.12/col) Fri Feb 15 12:08:31 2019 sparse part has weight 842090590 (114.25/col) Fri Feb 15 12:09:42 2019 filtering completed in 2 passes Fri Feb 15 12:09:43 2019 matrix is 7370533 x 7370710 (3521.6 MB) with weight 1003321432 (136.12/col) Fri Feb 15 12:09:43 2019 sparse part has weight 842090022 (114.25/col) Fri Feb 15 12:09:58 2019 matrix starts at (0, 0) Fri Feb 15 12:09:59 2019 matrix is 7370533 x 7370710 (3521.6 MB) with weight 1003321432 (136.12/col) Fri Feb 15 12:09:59 2019 sparse part has weight 842090022 (114.25/col) Fri Feb 15 12:09:59 2019 saving the first 48 matrix rows for later Fri Feb 15 12:10:00 2019 matrix includes 64 packed rows Fri Feb 15 12:10:01 2019 matrix is 7370485 x 7370710 (3368.3 MB) with weight 868476819 (117.83/col) Fri Feb 15 12:10:01 2019 sparse part has weight 809272294 (109.80/col) Fri Feb 15 12:10:01 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Fri Feb 15 12:10:23 2019 commencing Lanczos iteration (4 threads) Fri Feb 15 12:10:23 2019 memory use: 3210.5 MB Fri Feb 15 12:10:52 2019 linear algebra at 0.0%, ETA 37h49m Fri Feb 15 12:11:01 2019 checkpointing every 200000 dimensions Fri Feb 15 12:11:15 2019 lanczos halted after 44 iterations (dim = 2776) Fri Feb 15 12:11:15 2019 BLanczosTime: 637 Fri Feb 15 12:11:15 2019 Fri Feb 15 12:11:15 2019 commencing square root phase Fri Feb 15 12:11:15 2019 handling dependencies 1 to 64 Fri Feb 15 12:11:15 2019 reading relations for dependency 1 Fri Feb 15 12:11:15 2019 error: read_cycles can't open dependency file Fri Feb 15 12:12:26 2019 Fri Feb 15 12:12:26 2019 Fri Feb 15 12:12:26 2019 Msieve v. 1.54 (SVN 1025) Fri Feb 15 12:12:26 2019 random seeds: 1496fc15 c855f556 Fri Feb 15 12:12:26 2019 factoring 891347703276396189391795049746278719582197644073369459144339691046698998534105083695619205508739974294190187088301039165902275310124006673988361342690023322718368622172628150557552024657987965639981080444257 (207 digits) Fri Feb 15 12:12:26 2019 searching for 15-digit factors Fri Feb 15 12:12:27 2019 commencing number field sieve (207-digit input) Fri Feb 15 12:12:27 2019 R0: 8505622499821102144576131684114829934592 Fri Feb 15 12:12:27 2019 R1: -72759576141834259033203125 Fri Feb 15 12:12:27 2019 A0: 1 Fri Feb 15 12:12:27 2019 A1: 1 Fri Feb 15 12:12:27 2019 A2: 1 Fri Feb 15 12:12:27 2019 A3: 1 Fri Feb 15 12:12:27 2019 A4: 1 Fri Feb 15 12:12:27 2019 A5: 1 Fri Feb 15 12:12:27 2019 A6: 1 Fri Feb 15 12:12:27 2019 skew 1.00, size 7.593e-12, alpha 2.428, combined = 5.214e-13 rroots = 0 Fri Feb 15 12:12:27 2019 Fri Feb 15 12:12:27 2019 commencing relation filtering Fri Feb 15 12:12:27 2019 setting max relations to 206100000 Fri Feb 15 12:12:27 2019 setting target matrix density to 140.0 Fri Feb 15 12:12:27 2019 estimated available RAM is 15988.9 MB Fri Feb 15 12:12:27 2019 commencing duplicate removal, pass 1 Fri Feb 15 12:25:30 2019 error -5 reading relation 121269362 Fri Feb 15 12:29:03 2019 error -15 reading relation 154228670 Fri Feb 15 12:30:14 2019 error -5 reading relation 165041733 Fri Feb 15 12:31:29 2019 error -15 reading relation 176707259 Fri Feb 15 12:34:38 2019 skipped 70 relations with b > 2^32 Fri Feb 15 12:34:38 2019 skipped 3 relations with composite factors Fri Feb 15 12:34:38 2019 found 9297544 hash collisions in 206099923 relations Fri Feb 15 12:34:38 2019 commencing duplicate removal, pass 2 Fri Feb 15 12:35:20 2019 found 0 duplicates and 206099923 unique relations Fri Feb 15 12:35:20 2019 memory use: 522.4 MB Fri Feb 15 12:35:20 2019 reading ideals above 129957888 Fri Feb 15 12:35:20 2019 commencing singleton removal, initial pass Fri Feb 15 12:51:24 2019 memory use: 3012.0 MB Fri Feb 15 12:51:24 2019 reading all ideals from disk Fri Feb 15 12:51:29 2019 memory use: 3521.8 MB Fri Feb 15 12:51:36 2019 commencing in-memory singleton removal Fri Feb 15 12:51:42 2019 begin with 206099923 relations and 162827283 unique ideals Fri Feb 15 12:53:01 2019 reduce to 141998957 relations and 92826868 ideals in 12 passes Fri Feb 15 12:53:01 2019 max relations containing the same ideal: 44 Fri Feb 15 12:53:07 2019 reading ideals above 720000 Fri Feb 15 12:53:07 2019 commencing singleton removal, initial pass Fri Feb 15 13:07:54 2019 memory use: 2756.0 MB Fri Feb 15 13:07:54 2019 reading all ideals from disk Fri Feb 15 13:08:03 2019 memory use: 5513.5 MB Fri Feb 15 13:08:18 2019 keeping 106852939 ideals with weight <= 200, target excess is 723879 Fri Feb 15 13:08:33 2019 commencing in-memory singleton removal Fri Feb 15 13:08:44 2019 begin with 141998957 relations and 106852939 unique ideals Fri Feb 15 13:09:28 2019 reduce to 141998927 relations and 106852909 ideals in 4 passes Fri Feb 15 13:09:28 2019 max relations containing the same ideal: 200 Fri Feb 15 13:10:17 2019 removing 9939895 relations and 7939895 ideals in 2000000 cliques Fri Feb 15 13:10:19 2019 commencing in-memory singleton removal Fri Feb 15 13:10:28 2019 begin with 132059032 relations and 106852909 unique ideals Fri Feb 15 13:11:39 2019 reduce to 131546929 relations and 98391953 ideals in 8 passes Fri Feb 15 13:11:39 2019 max relations containing the same ideal: 198 Fri Feb 15 13:12:23 2019 removing 7586389 relations and 5586389 ideals in 2000000 cliques Fri Feb 15 13:12:25 2019 commencing in-memory singleton removal Fri Feb 15 13:12:33 2019 begin with 123960540 relations and 98391953 unique ideals Fri Feb 15 13:13:23 2019 reduce to 123613494 relations and 92453225 ideals in 6 passes Fri Feb 15 13:13:23 2019 max relations containing the same ideal: 193 Fri Feb 15 13:14:03 2019 removing 6901945 relations and 4901945 ideals in 2000000 cliques Fri Feb 15 13:14:06 2019 commencing in-memory singleton removal Fri Feb 15 13:14:13 2019 begin with 116711549 relations and 92453225 unique ideals Fri Feb 15 13:15:07 2019 reduce to 116409760 relations and 87244869 ideals in 7 passes Fri Feb 15 13:15:07 2019 max relations containing the same ideal: 186 Fri Feb 15 13:15:46 2019 removing 6551384 relations and 4551384 ideals in 2000000 cliques Fri Feb 15 13:15:48 2019 commencing in-memory singleton removal Fri Feb 15 13:15:55 2019 begin with 109858376 relations and 87244869 unique ideals Fri Feb 15 13:16:45 2019 reduce to 109579716 relations and 82410338 ideals in 7 passes Fri Feb 15 13:16:45 2019 max relations containing the same ideal: 179 Fri Feb 15 13:17:22 2019 removing 6328902 relations and 4328902 ideals in 2000000 cliques Fri Feb 15 13:17:24 2019 commencing in-memory singleton removal Fri Feb 15 13:17:30 2019 begin with 103250814 relations and 82410338 unique ideals Fri Feb 15 13:18:17 2019 reduce to 102984571 relations and 77810965 ideals in 7 passes Fri Feb 15 13:18:17 2019 max relations containing the same ideal: 174 Fri Feb 15 13:18:51 2019 removing 6173105 relations and 4173105 ideals in 2000000 cliques Fri Feb 15 13:18:54 2019 commencing in-memory singleton removal Fri Feb 15 13:18:59 2019 begin with 96811466 relations and 77810965 unique ideals Fri Feb 15 13:19:43 2019 reduce to 96550840 relations and 73372751 ideals in 7 passes Fri Feb 15 13:19:43 2019 max relations containing the same ideal: 167 Fri Feb 15 13:20:16 2019 removing 6061381 relations and 4061381 ideals in 2000000 cliques Fri Feb 15 13:20:18 2019 commencing in-memory singleton removal Fri Feb 15 13:20:23 2019 begin with 90489459 relations and 73372751 unique ideals Fri Feb 15 13:21:04 2019 reduce to 90229606 relations and 69046639 ideals in 7 passes Fri Feb 15 13:21:04 2019 max relations containing the same ideal: 158 Fri Feb 15 13:21:34 2019 removing 5974506 relations and 3974506 ideals in 2000000 cliques Fri Feb 15 13:21:36 2019 commencing in-memory singleton removal Fri Feb 15 13:21:41 2019 begin with 84255100 relations and 69046639 unique ideals Fri Feb 15 13:22:13 2019 reduce to 83990669 relations and 64802545 ideals in 6 passes Fri Feb 15 13:22:13 2019 max relations containing the same ideal: 149 Fri Feb 15 13:22:42 2019 removing 5909737 relations and 3909737 ideals in 2000000 cliques Fri Feb 15 13:22:44 2019 commencing in-memory singleton removal Fri Feb 15 13:22:48 2019 begin with 78080932 relations and 64802545 unique ideals Fri Feb 15 13:23:18 2019 reduce to 77810181 relations and 60616401 ideals in 6 passes Fri Feb 15 13:23:18 2019 max relations containing the same ideal: 144 Fri Feb 15 13:23:44 2019 removing 5859911 relations and 3859911 ideals in 2000000 cliques Fri Feb 15 13:23:46 2019 commencing in-memory singleton removal Fri Feb 15 13:23:50 2019 begin with 71950270 relations and 60616401 unique ideals Fri Feb 15 13:24:22 2019 reduce to 71670730 relations and 56470697 ideals in 7 passes Fri Feb 15 13:24:22 2019 max relations containing the same ideal: 136 Fri Feb 15 13:24:46 2019 removing 5826817 relations and 3826817 ideals in 2000000 cliques Fri Feb 15 13:24:48 2019 commencing in-memory singleton removal Fri Feb 15 13:24:52 2019 begin with 65843913 relations and 56470697 unique ideals Fri Feb 15 13:25:17 2019 reduce to 65551244 relations and 52344136 ideals in 6 passes Fri Feb 15 13:25:17 2019 max relations containing the same ideal: 128 Fri Feb 15 13:25:39 2019 removing 5800873 relations and 3800873 ideals in 2000000 cliques Fri Feb 15 13:25:41 2019 commencing in-memory singleton removal Fri Feb 15 13:25:44 2019 begin with 59750371 relations and 52344136 unique ideals Fri Feb 15 13:26:06 2019 reduce to 59440103 relations and 48224975 ideals in 6 passes Fri Feb 15 13:26:06 2019 max relations containing the same ideal: 122 Fri Feb 15 13:26:27 2019 removing 5781855 relations and 3781855 ideals in 2000000 cliques Fri Feb 15 13:26:28 2019 commencing in-memory singleton removal Fri Feb 15 13:26:31 2019 begin with 53658248 relations and 48224975 unique ideals Fri Feb 15 13:26:51 2019 reduce to 53325186 relations and 44100618 ideals in 6 passes Fri Feb 15 13:26:51 2019 max relations containing the same ideal: 117 Fri Feb 15 13:27:09 2019 removing 5773944 relations and 3773944 ideals in 2000000 cliques Fri Feb 15 13:27:11 2019 commencing in-memory singleton removal Fri Feb 15 13:27:14 2019 begin with 47551242 relations and 44100618 unique ideals Fri Feb 15 13:27:37 2019 reduce to 47186624 relations and 39950580 ideals in 8 passes Fri Feb 15 13:27:37 2019 max relations containing the same ideal: 106 Fri Feb 15 13:27:53 2019 removing 5775228 relations and 3775228 ideals in 2000000 cliques Fri Feb 15 13:27:54 2019 commencing in-memory singleton removal Fri Feb 15 13:27:57 2019 begin with 41411396 relations and 39950580 unique ideals Fri Feb 15 13:28:16 2019 reduce to 41001266 relations and 35750842 ideals in 8 passes Fri Feb 15 13:28:16 2019 max relations containing the same ideal: 95 Fri Feb 15 13:28:31 2019 removing 5788628 relations and 3788628 ideals in 2000000 cliques Fri Feb 15 13:28:32 2019 commencing in-memory singleton removal Fri Feb 15 13:28:34 2019 begin with 35212638 relations and 35750842 unique ideals Fri Feb 15 13:28:48 2019 reduce to 34736204 relations and 31466398 ideals in 7 passes Fri Feb 15 13:28:48 2019 max relations containing the same ideal: 84 Fri Feb 15 13:29:00 2019 removing 5823165 relations and 3823165 ideals in 2000000 cliques Fri Feb 15 13:29:02 2019 commencing in-memory singleton removal Fri Feb 15 13:29:03 2019 begin with 28913039 relations and 31466398 unique ideals Fri Feb 15 13:29:17 2019 reduce to 28323132 relations and 27025336 ideals in 8 passes Fri Feb 15 13:29:17 2019 max relations containing the same ideal: 75 Fri Feb 15 13:29:27 2019 removing 1765316 relations and 1307220 ideals in 458096 cliques Fri Feb 15 13:29:27 2019 commencing in-memory singleton removal Fri Feb 15 13:29:29 2019 begin with 26557816 relations and 27025336 unique ideals Fri Feb 15 13:29:40 2019 reduce to 26476861 relations and 25636028 ideals in 7 passes Fri Feb 15 13:29:40 2019 max relations containing the same ideal: 73 Fri Feb 15 13:29:52 2019 relations with 0 large ideals: 0 Fri Feb 15 13:29:52 2019 relations with 1 large ideals: 12670 Fri Feb 15 13:29:52 2019 relations with 2 large ideals: 191511 Fri Feb 15 13:29:52 2019 relations with 3 large ideals: 1135838 Fri Feb 15 13:29:52 2019 relations with 4 large ideals: 3525469 Fri Feb 15 13:29:52 2019 relations with 5 large ideals: 6412844 Fri Feb 15 13:29:52 2019 relations with 6 large ideals: 7197461 Fri Feb 15 13:29:52 2019 relations with 7+ large ideals: 8001068 Fri Feb 15 13:29:52 2019 commencing 2-way merge Fri Feb 15 13:30:04 2019 reduce to 17778846 relation sets and 16938013 unique ideals Fri Feb 15 13:30:04 2019 commencing full merge Fri Feb 15 13:35:17 2019 memory use: 2180.2 MB Fri Feb 15 13:35:19 2019 found 7682300 cycles, need 7662213 Fri Feb 15 13:35:21 2019 weight of 7662213 cycles is about 1073743819 (140.13/cycle) Fri Feb 15 13:35:21 2019 distribution of cycle lengths: Fri Feb 15 13:35:21 2019 1 relations: 132549 Fri Feb 15 13:35:21 2019 2 relations: 317567 Fri Feb 15 13:35:21 2019 3 relations: 421629 Fri Feb 15 13:35:21 2019 4 relations: 469293 Fri Feb 15 13:35:21 2019 5 relations: 515436 Fri Feb 15 13:35:21 2019 6 relations: 532332 Fri Feb 15 13:35:21 2019 7 relations: 543245 Fri Feb 15 13:35:21 2019 8 relations: 533195 Fri Feb 15 13:35:21 2019 9 relations: 517998 Fri Feb 15 13:35:21 2019 10+ relations: 3678969 Fri Feb 15 13:35:21 2019 heaviest cycle: 28 relations Fri Feb 15 13:35:23 2019 commencing cycle optimization Fri Feb 15 13:35:37 2019 start with 76995922 relations Fri Feb 15 13:38:05 2019 pruned 4410842 relations Fri Feb 15 13:38:05 2019 memory use: 1890.0 MB Fri Feb 15 13:38:05 2019 distribution of cycle lengths: Fri Feb 15 13:38:05 2019 1 relations: 132549 Fri Feb 15 13:38:05 2019 2 relations: 327660 Fri Feb 15 13:38:05 2019 3 relations: 442380 Fri Feb 15 13:38:05 2019 4 relations: 493699 Fri Feb 15 13:38:05 2019 5 relations: 548002 Fri Feb 15 13:38:05 2019 6 relations: 566837 Fri Feb 15 13:38:05 2019 7 relations: 582503 Fri Feb 15 13:38:05 2019 8 relations: 570170 Fri Feb 15 13:38:05 2019 9 relations: 553777 Fri Feb 15 13:38:05 2019 10+ relations: 3444636 Fri Feb 15 13:38:05 2019 heaviest cycle: 28 relations Fri Feb 15 13:38:19 2019 RelProcTime: 5152 Fri Feb 15 13:38:19 2019 Fri Feb 15 13:38:19 2019 commencing linear algebra Fri Feb 15 13:38:19 2019 read 7662213 cycles Fri Feb 15 13:38:33 2019 cycles contain 26097114 unique relations Fri Feb 15 13:40:29 2019 read 26097114 relations Fri Feb 15 13:41:07 2019 using 20 quadratic characters above 4294917295 Fri Feb 15 13:42:32 2019 building initial matrix Fri Feb 15 13:46:50 2019 memory use: 3285.2 MB Fri Feb 15 13:46:53 2019 read 7662213 cycles Fri Feb 15 13:46:54 2019 matrix is 7662036 x 7662213 (4050.7 MB) with weight 1150055894 (150.09/col) Fri Feb 15 13:46:54 2019 sparse part has weight 977577062 (127.58/col) Fri Feb 15 13:48:24 2019 filtering completed in 2 passes Fri Feb 15 13:48:25 2019 matrix is 7662001 x 7662178 (4050.7 MB) with weight 1150054429 (150.09/col) Fri Feb 15 13:48:25 2019 sparse part has weight 977576415 (127.58/col) Fri Feb 15 13:48:44 2019 matrix starts at (0, 0) Fri Feb 15 13:48:45 2019 matrix is 7662001 x 7662178 (4050.7 MB) with weight 1150054429 (150.09/col) Fri Feb 15 13:48:45 2019 sparse part has weight 977576415 (127.58/col) Fri Feb 15 13:48:45 2019 saving the first 48 matrix rows for later Fri Feb 15 13:48:46 2019 matrix includes 64 packed rows Fri Feb 15 13:48:47 2019 matrix is 7661953 x 7662178 (3871.6 MB) with weight 1004849588 (131.14/col) Fri Feb 15 13:48:47 2019 sparse part has weight 938301170 (122.46/col) Fri Feb 15 13:48:47 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Fri Feb 15 13:49:14 2019 commencing Lanczos iteration (4 threads) Fri Feb 15 13:49:14 2019 memory use: 3646.7 MB Fri Feb 15 13:49:45 2019 linear algebra at 0.0%, ETA 41h58m Fri Feb 15 13:49:55 2019 checkpointing every 190000 dimensions Fri Feb 15 14:00:40 2019 lanczos halted after 548 iterations (dim = 34653) Fri Feb 15 14:00:40 2019 BLanczosTime: 1341 Fri Feb 15 14:00:40 2019 Fri Feb 15 14:00:40 2019 commencing square root phase Fri Feb 15 14:00:40 2019 handling dependencies 1 to 64 Fri Feb 15 14:00:40 2019 reading relations for dependency 1 Fri Feb 15 14:00:40 2019 error: read_cycles can't open dependency file Fri Feb 15 14:05:22 2019 Fri Feb 15 14:05:22 2019 Fri Feb 15 14:05:22 2019 Msieve v. 1.54 (SVN 1025) Fri Feb 15 14:05:22 2019 random seeds: 875689f9 5ac9716c Fri Feb 15 14:05:22 2019 factoring 891347703276396189391795049746278719582197644073369459144339691046698998534105083695619205508739974294190187088301039165902275310124006673988361342690023322718368622172628150557552024657987965639981080444257 (207 digits) Fri Feb 15 14:05:23 2019 searching for 15-digit factors Fri Feb 15 14:05:23 2019 commencing number field sieve (207-digit input) Fri Feb 15 14:05:23 2019 R0: 8505622499821102144576131684114829934592 Fri Feb 15 14:05:23 2019 R1: -72759576141834259033203125 Fri Feb 15 14:05:23 2019 A0: 1 Fri Feb 15 14:05:23 2019 A1: 1 Fri Feb 15 14:05:23 2019 A2: 1 Fri Feb 15 14:05:23 2019 A3: 1 Fri Feb 15 14:05:23 2019 A4: 1 Fri Feb 15 14:05:23 2019 A5: 1 Fri Feb 15 14:05:23 2019 A6: 1 Fri Feb 15 14:05:23 2019 skew 1.00, size 7.593e-12, alpha 2.428, combined = 5.214e-13 rroots = 0 Fri Feb 15 14:05:23 2019 Fri Feb 15 14:05:23 2019 commencing linear algebra Fri Feb 15 14:05:23 2019 skipping matrix build Fri Feb 15 14:05:27 2019 matrix starts at (0, 0) Fri Feb 15 14:05:28 2019 matrix is 7370533 x 7370710 (3521.6 MB) with weight 1003321432 (136.12/col) Fri Feb 15 14:05:28 2019 sparse part has weight 842090022 (114.25/col) Fri Feb 15 14:05:28 2019 saving the first 48 matrix rows for later Fri Feb 15 14:05:30 2019 matrix includes 64 packed rows Fri Feb 15 14:05:31 2019 matrix is 7370485 x 7370710 (3368.3 MB) with weight 868476819 (117.83/col) Fri Feb 15 14:05:31 2019 sparse part has weight 809272294 (109.80/col) Fri Feb 15 14:05:31 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Fri Feb 15 14:05:55 2019 commencing Lanczos iteration (4 threads) Fri Feb 15 14:05:55 2019 memory use: 3210.6 MB Fri Feb 15 14:06:23 2019 linear algebra at 0.0%, ETA 36h47m Fri Feb 15 14:06:32 2019 checkpointing every 210000 dimensions Sat Feb 16 23:50:16 2019 lanczos halted after 116558 iterations (dim = 7370484) Sat Feb 16 23:50:27 2019 recovered 38 nontrivial dependencies Sat Feb 16 23:50:27 2019 BLanczosTime: 121504 Sat Feb 16 23:50:27 2019 Sat Feb 16 23:50:27 2019 commencing square root phase Sat Feb 16 23:50:27 2019 handling dependencies 1 to 64 Sat Feb 16 23:50:27 2019 reading relations for dependency 1 Sat Feb 16 23:50:28 2019 read 3686211 cycles Sat Feb 16 23:50:34 2019 cycles contain 11913182 unique relations Sat Feb 16 23:51:41 2019 read 11913182 relations Sat Feb 16 23:52:17 2019 multiplying 11913182 relations Sat Feb 16 23:58:07 2019 multiply complete, coefficients have about 295.96 million bits Sat Feb 16 23:58:09 2019 initial square root is modulo 204431 Sun Feb 17 00:04:37 2019 GCD is N, no factor found Sun Feb 17 00:04:37 2019 reading relations for dependency 2 Sun Feb 17 00:04:38 2019 read 3684962 cycles Sun Feb 17 00:04:44 2019 cycles contain 11912436 unique relations Sun Feb 17 00:05:51 2019 read 11912436 relations Sun Feb 17 00:06:26 2019 multiplying 11912436 relations Sun Feb 17 00:12:18 2019 multiply complete, coefficients have about 295.95 million bits Sun Feb 17 00:12:19 2019 initial square root is modulo 204319 Sun Feb 17 00:18:50 2019 GCD is N, no factor found Sun Feb 17 00:18:50 2019 reading relations for dependency 3 Sun Feb 17 00:18:51 2019 read 3683743 cycles Sun Feb 17 00:18:56 2019 cycles contain 11913454 unique relations Sun Feb 17 00:20:04 2019 read 11913454 relations Sun Feb 17 00:20:39 2019 multiplying 11913454 relations Sun Feb 17 00:26:29 2019 multiply complete, coefficients have about 295.97 million bits Sun Feb 17 00:26:30 2019 initial square root is modulo 204517 Sun Feb 17 00:33:01 2019 sqrtTime: 2554 Sun Feb 17 00:33:01 2019 p77 factor: 21953820858833482644385834863302487678748604579115582745459985000188712952971 Sun Feb 17 00:33:01 2019 p131 factor: 40601028358931320606041938005429201037666942123009975620407989450258156933711683167728466784265596035275595961745786112280086931267 Sun Feb 17 00:33:01 2019 elapsed time 34:27:39