Sun Dec 15 19:31:19 2019 Sun Dec 15 19:31:19 2019 Sun Dec 15 19:31:19 2019 Msieve v. 1.53 (SVN 988M) Sun Dec 15 19:31:19 2019 random seeds: 282eae65 3ea6fd45 Sun Dec 15 19:31:19 2019 factoring 34903706636215867451971517927172154877053009463661911621781150226377483363148732331467045530596246770900677124070255332317641759382380500377723928018028497126450034488029387278528721185976061581730980558155520937 (212 digits) Sun Dec 15 19:31:19 2019 searching for 15-digit factors Sun Dec 15 19:31:21 2019 commencing number field sieve (212-digit input) Sun Dec 15 19:31:21 2019 R0: -1393796574908163946345982392040522594123776 Sun Dec 15 19:31:21 2019 R1: 2503155504993241601315571986085849 Sun Dec 15 19:31:21 2019 A0: 4 Sun Dec 15 19:31:21 2019 A1: 0 Sun Dec 15 19:31:21 2019 A2: 0 Sun Dec 15 19:31:21 2019 A3: 6 Sun Dec 15 19:31:21 2019 A4: 0 Sun Dec 15 19:31:21 2019 A5: 0 Sun Dec 15 19:31:21 2019 A6: 3 Sun Dec 15 19:31:21 2019 skew 1.05, size 1.984e-12, alpha 1.048, combined = 1.918e-13 rroots = 0 Sun Dec 15 19:31:21 2019 Sun Dec 15 19:31:21 2019 commencing relation filtering Sun Dec 15 19:31:21 2019 setting target matrix density to 120.0 Sun Dec 15 19:31:21 2019 estimated available RAM is 32768.0 MB Sun Dec 15 19:31:21 2019 commencing duplicate removal, pass 1 Sun Dec 15 19:43:17 2019 error -15 reading relation 116257375 Sun Dec 15 19:44:55 2019 error -11 reading relation 132668778 Sun Dec 15 19:48:33 2019 error -15 reading relation 169111386 Sun Dec 15 19:48:47 2019 error -1 reading relation 171383684 Sun Dec 15 19:49:59 2019 error -1 reading relation 183452473 Sun Dec 15 19:50:52 2019 skipped 122 relations with b > 2^32 Sun Dec 15 19:50:52 2019 skipped 4 relations with composite factors Sun Dec 15 19:50:52 2019 found 8121787 hash collisions in 192260204 relations Sun Dec 15 19:51:01 2019 added 812988 free relations Sun Dec 15 19:51:01 2019 commencing duplicate removal, pass 2 Sun Dec 15 19:59:01 2019 found 0 duplicates and 193073192 unique relations Sun Dec 15 19:59:01 2019 memory use: 522.4 MB Sun Dec 15 19:59:01 2019 reading ideals above 133890048 Sun Dec 15 19:59:01 2019 commencing singleton removal, initial pass Sun Dec 15 20:13:20 2019 memory use: 5512.0 MB Sun Dec 15 20:13:20 2019 reading all ideals from disk Sun Dec 15 20:14:50 2019 memory use: 3721.4 MB Sun Dec 15 20:14:57 2019 commencing in-memory singleton removal Sun Dec 15 20:15:04 2019 begin with 193073192 relations and 164739839 unique ideals Sun Dec 15 20:16:35 2019 reduce to 127451579 relations and 92633996 ideals in 15 passes Sun Dec 15 20:16:35 2019 max relations containing the same ideal: 40 Sun Dec 15 20:16:51 2019 reading ideals above 720000 Sun Dec 15 20:16:52 2019 commencing singleton removal, initial pass Sun Dec 15 20:30:12 2019 memory use: 3012.0 MB Sun Dec 15 20:30:12 2019 reading all ideals from disk Sun Dec 15 20:32:14 2019 memory use: 5079.6 MB Sun Dec 15 20:32:24 2019 keeping 107160392 ideals with weight <= 200, target excess is 645063 Sun Dec 15 20:32:36 2019 commencing in-memory singleton removal Sun Dec 15 20:32:45 2019 begin with 127451579 relations and 107160392 unique ideals Sun Dec 15 20:33:24 2019 reduce to 127451401 relations and 107160214 ideals in 4 passes Sun Dec 15 20:33:24 2019 max relations containing the same ideal: 200 Sun Dec 15 20:34:14 2019 removing 11458917 relations and 9458917 ideals in 2000000 cliques Sun Dec 15 20:34:17 2019 commencing in-memory singleton removal Sun Dec 15 20:34:25 2019 begin with 115992484 relations and 107160214 unique ideals Sun Dec 15 20:35:46 2019 reduce to 115139701 relations and 96830515 ideals in 9 passes Sun Dec 15 20:35:46 2019 max relations containing the same ideal: 195 Sun Dec 15 20:36:30 2019 removing 8774217 relations and 6774217 ideals in 2000000 cliques Sun Dec 15 20:36:33 2019 commencing in-memory singleton removal Sun Dec 15 20:36:40 2019 begin with 106365484 relations and 96830515 unique ideals Sun Dec 15 20:37:46 2019 reduce to 105803565 relations and 89484156 ideals in 8 passes Sun Dec 15 20:37:46 2019 max relations containing the same ideal: 188 Sun Dec 15 20:38:27 2019 removing 7965139 relations and 5965139 ideals in 2000000 cliques Sun Dec 15 20:38:30 2019 commencing in-memory singleton removal Sun Dec 15 20:38:37 2019 begin with 97838426 relations and 89484156 unique ideals Sun Dec 15 20:39:35 2019 reduce to 97340772 relations and 83012130 ideals in 8 passes Sun Dec 15 20:39:35 2019 max relations containing the same ideal: 179 Sun Dec 15 20:40:14 2019 removing 7563558 relations and 5563558 ideals in 2000000 cliques Sun Dec 15 20:40:16 2019 commencing in-memory singleton removal Sun Dec 15 20:40:22 2019 begin with 89777214 relations and 83012130 unique ideals Sun Dec 15 20:41:15 2019 reduce to 89302674 relations and 76964930 ideals in 8 passes Sun Dec 15 20:41:15 2019 max relations containing the same ideal: 168 Sun Dec 15 20:41:50 2019 removing 7314037 relations and 5314037 ideals in 2000000 cliques Sun Dec 15 20:41:53 2019 commencing in-memory singleton removal Sun Dec 15 20:41:58 2019 begin with 81988637 relations and 76964930 unique ideals Sun Dec 15 20:42:41 2019 reduce to 81519546 relations and 71172345 ideals in 7 passes Sun Dec 15 20:42:41 2019 max relations containing the same ideal: 160 Sun Dec 15 20:43:13 2019 removing 7152011 relations and 5152011 ideals in 2000000 cliques Sun Dec 15 20:43:16 2019 commencing in-memory singleton removal Sun Dec 15 20:43:20 2019 begin with 74367535 relations and 71172345 unique ideals Sun Dec 15 20:43:59 2019 reduce to 73890278 relations and 65532661 ideals in 7 passes Sun Dec 15 20:43:59 2019 max relations containing the same ideal: 150 Sun Dec 15 20:44:28 2019 removing 7046629 relations and 5046629 ideals in 2000000 cliques Sun Dec 15 20:44:30 2019 commencing in-memory singleton removal Sun Dec 15 20:44:35 2019 begin with 66843649 relations and 65532661 unique ideals Sun Dec 15 20:45:11 2019 reduce to 66344267 relations and 59974858 ideals in 7 passes Sun Dec 15 20:45:11 2019 max relations containing the same ideal: 143 Sun Dec 15 20:45:37 2019 removing 6976113 relations and 4976113 ideals in 2000000 cliques Sun Dec 15 20:45:39 2019 commencing in-memory singleton removal Sun Dec 15 20:45:43 2019 begin with 59368154 relations and 59974858 unique ideals Sun Dec 15 20:46:21 2019 reduce to 58832819 relations and 54449368 ideals in 9 passes Sun Dec 15 20:46:21 2019 max relations containing the same ideal: 132 Sun Dec 15 20:46:45 2019 removing 6933483 relations and 4933483 ideals in 2000000 cliques Sun Dec 15 20:46:47 2019 commencing in-memory singleton removal Sun Dec 15 20:46:50 2019 begin with 51899336 relations and 54449368 unique ideals Sun Dec 15 20:47:19 2019 reduce to 51302862 relations and 48902256 ideals in 8 passes Sun Dec 15 20:47:19 2019 max relations containing the same ideal: 118 Sun Dec 15 20:47:40 2019 removing 5945070 relations and 4292738 ideals in 1652332 cliques Sun Dec 15 20:47:42 2019 commencing in-memory singleton removal Sun Dec 15 20:47:45 2019 begin with 45357792 relations and 48902256 unique ideals Sun Dec 15 20:48:13 2019 reduce to 44854654 relations and 44092157 ideals in 9 passes Sun Dec 15 20:48:13 2019 max relations containing the same ideal: 107 Sun Dec 15 20:48:32 2019 removing 108525 relations and 94302 ideals in 14223 cliques Sun Dec 15 20:48:33 2019 commencing in-memory singleton removal Sun Dec 15 20:48:35 2019 begin with 44746129 relations and 44092157 unique ideals Sun Dec 15 20:48:48 2019 reduce to 44745983 relations and 43997709 ideals in 4 passes Sun Dec 15 20:48:48 2019 max relations containing the same ideal: 107 Sun Dec 15 20:48:55 2019 relations with 0 large ideals: 16392 Sun Dec 15 20:48:55 2019 relations with 1 large ideals: 7174 Sun Dec 15 20:48:55 2019 relations with 2 large ideals: 105217 Sun Dec 15 20:48:55 2019 relations with 3 large ideals: 770473 Sun Dec 15 20:48:55 2019 relations with 4 large ideals: 3101990 Sun Dec 15 20:48:55 2019 relations with 5 large ideals: 7520535 Sun Dec 15 20:48:55 2019 relations with 6 large ideals: 11486950 Sun Dec 15 20:48:55 2019 relations with 7+ large ideals: 21737252 Sun Dec 15 20:48:55 2019 commencing 2-way merge Sun Dec 15 20:49:30 2019 reduce to 29726517 relation sets and 28978243 unique ideals Sun Dec 15 20:49:30 2019 commencing full merge Sun Dec 15 21:01:08 2019 memory use: 3700.4 MB Sun Dec 15 21:01:15 2019 found 13254456 cycles, need 13250443 Sun Dec 15 21:01:15 2019 weight of 13250443 cycles is about 1590552039 (120.04/cycle) Sun Dec 15 21:01:15 2019 distribution of cycle lengths: Sun Dec 15 21:01:15 2019 1 relations: 560682 Sun Dec 15 21:01:15 2019 2 relations: 819080 Sun Dec 15 21:01:15 2019 3 relations: 965986 Sun Dec 15 21:01:15 2019 4 relations: 994709 Sun Dec 15 21:01:15 2019 5 relations: 1011819 Sun Dec 15 21:01:15 2019 6 relations: 985932 Sun Dec 15 21:01:15 2019 7 relations: 959290 Sun Dec 15 21:01:15 2019 8 relations: 905216 Sun Dec 15 21:01:15 2019 9 relations: 849173 Sun Dec 15 21:01:15 2019 10+ relations: 5198556 Sun Dec 15 21:01:15 2019 heaviest cycle: 28 relations Sun Dec 15 21:01:21 2019 commencing cycle optimization Sun Dec 15 21:01:51 2019 start with 117022054 relations Sun Dec 15 21:06:52 2019 pruned 5399520 relations Sun Dec 15 21:06:52 2019 memory use: 3067.0 MB Sun Dec 15 21:06:52 2019 distribution of cycle lengths: Sun Dec 15 21:06:52 2019 1 relations: 560682 Sun Dec 15 21:06:52 2019 2 relations: 841210 Sun Dec 15 21:06:52 2019 3 relations: 1009824 Sun Dec 15 21:06:52 2019 4 relations: 1038573 Sun Dec 15 21:06:52 2019 5 relations: 1062821 Sun Dec 15 21:06:52 2019 6 relations: 1032697 Sun Dec 15 21:06:52 2019 7 relations: 1006759 Sun Dec 15 21:06:52 2019 8 relations: 945459 Sun Dec 15 21:06:52 2019 9 relations: 884959 Sun Dec 15 21:06:52 2019 10+ relations: 4867459 Sun Dec 15 21:06:52 2019 heaviest cycle: 28 relations Sun Dec 15 21:07:33 2019 RelProcTime: 5772 Sun Dec 15 21:07:33 2019 Sun Dec 15 21:07:33 2019 commencing linear algebra Sun Dec 15 21:07:35 2019 read 13250443 cycles Sun Dec 15 21:08:04 2019 cycles contain 44319531 unique relations Sun Dec 15 21:16:09 2019 read 44319531 relations Sun Dec 15 21:17:43 2019 using 20 quadratic characters above 4294917295 Sun Dec 15 21:20:15 2019 building initial matrix Sun Dec 15 21:28:30 2019 memory use: 5802.8 MB Sun Dec 15 21:31:08 2019 read 13250443 cycles Sun Dec 15 21:31:10 2019 matrix is 13250266 x 13250443 (6224.7 MB) with weight 1795828867 (135.53/col) Sun Dec 15 21:31:10 2019 sparse part has weight 1486015688 (112.15/col) Sun Dec 15 21:34:30 2019 filtering completed in 2 passes Sun Dec 15 21:34:32 2019 matrix is 13250194 x 13250371 (6224.7 MB) with weight 1795826637 (135.53/col) Sun Dec 15 21:34:32 2019 sparse part has weight 1486015192 (112.15/col) Sun Dec 15 21:37:32 2019 matrix starts at (0, 0) Sun Dec 15 21:37:33 2019 matrix is 13250194 x 13250371 (6224.7 MB) with weight 1795826637 (135.53/col) Sun Dec 15 21:37:33 2019 sparse part has weight 1486015192 (112.15/col) Sun Dec 15 21:37:34 2019 saving the first 48 matrix rows for later Sun Dec 15 21:37:35 2019 matrix includes 64 packed rows Sun Dec 15 21:37:37 2019 matrix is 13250146 x 13250371 (5980.0 MB) with weight 1544835113 (116.59/col) Sun Dec 15 21:37:37 2019 sparse part has weight 1435114753 (108.31/col) Sun Dec 15 21:37:37 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Sun Dec 15 21:38:52 2019 commencing Lanczos iteration (16 threads) Sun Dec 15 21:38:52 2019 memory use: 5100.2 MB Sun Dec 15 21:39:09 2019 linear algebra at 0.0%, ETA 38h52m Sun Dec 15 21:39:14 2019 checkpointing every 350000 dimensions Mon Dec 16 16:46:43 2019 Mon Dec 16 16:46:43 2019 Mon Dec 16 16:46:43 2019 Msieve v. 1.53 (SVN 988M) Mon Dec 16 16:46:43 2019 random seeds: d456b7cf 9340ccb9 Mon Dec 16 16:46:43 2019 factoring 34903706636215867451971517927172154877053009463661911621781150226377483363148732331467045530596246770900677124070255332317641759382380500377723928018028497126450034488029387278528721185976061581730980558155520937 (212 digits) Mon Dec 16 16:46:43 2019 searching for 15-digit factors Mon Dec 16 16:46:44 2019 commencing number field sieve (212-digit input) Mon Dec 16 16:46:44 2019 R0: -1393796574908163946345982392040522594123776 Mon Dec 16 16:46:44 2019 R1: 2503155504993241601315571986085849 Mon Dec 16 16:46:44 2019 A0: 4 Mon Dec 16 16:46:44 2019 A1: 0 Mon Dec 16 16:46:44 2019 A2: 0 Mon Dec 16 16:46:44 2019 A3: 6 Mon Dec 16 16:46:44 2019 A4: 0 Mon Dec 16 16:46:44 2019 A5: 0 Mon Dec 16 16:46:44 2019 A6: 3 Mon Dec 16 16:46:44 2019 skew 1.05, size 1.984e-12, alpha 1.048, combined = 1.918e-13 rroots = 0 Mon Dec 16 16:46:44 2019 Mon Dec 16 16:46:44 2019 commencing linear algebra Mon Dec 16 16:49:05 2019 matrix starts at (0, 0) Mon Dec 16 16:49:06 2019 matrix is 13250194 x 13250371 (6224.7 MB) with weight 1795826637 (135.53/col) Mon Dec 16 16:49:06 2019 sparse part has weight 1486015192 (112.15/col) Mon Dec 16 16:49:06 2019 saving the first 48 matrix rows for later Mon Dec 16 16:49:08 2019 matrix includes 64 packed rows Mon Dec 16 16:49:09 2019 matrix is 13250146 x 13250371 (5980.0 MB) with weight 1544835113 (116.59/col) Mon Dec 16 16:49:09 2019 sparse part has weight 1435114753 (108.31/col) Mon Dec 16 16:49:09 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Mon Dec 16 16:50:23 2019 commencing Lanczos iteration (16 threads) Mon Dec 16 16:50:23 2019 memory use: 5100.2 MB Mon Dec 16 16:50:35 2019 restarting at iteration 88558 (dim = 5600058) Mon Dec 16 16:50:50 2019 linear algebra at 42.3%, ETA 20h59m Mon Dec 16 16:50:54 2019 checkpointing every 380000 dimensions Tue Dec 17 13:35:00 2019 lanczos halted after 209537 iterations (dim = 13250144) Tue Dec 17 13:35:10 2019 recovered 38 nontrivial dependencies Tue Dec 17 13:35:15 2019 BLanczosTime: 74911 Tue Dec 17 13:35:15 2019 Tue Dec 17 13:35:15 2019 commencing square root phase Tue Dec 17 13:35:15 2019 reading relations for dependency 1 Tue Dec 17 13:35:26 2019 read 6623631 cycles Tue Dec 17 13:35:39 2019 cycles contain 22157458 unique relations Tue Dec 17 13:43:45 2019 read 22157458 relations Tue Dec 17 13:45:15 2019 multiplying 22157458 relations Tue Dec 17 13:57:49 2019 multiply complete, coefficients have about 593.70 million bits Tue Dec 17 13:57:51 2019 initial square root is modulo 212081 Tue Dec 17 14:10:26 2019 sqrtTime: 2111 Tue Dec 17 14:10:26 2019 p71 factor: 22063190595010738589824048280818244702323097533926030018578115422194291 Tue Dec 17 14:10:26 2019 p142 factor: 1581988175550131901937993051881378481779697012129061079841214934962740408236197189547685713727405664955292473565290954700526483390772987489907 Tue Dec 17 14:10:26 2019 elapsed time 21:23:43