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- Thu Jun 29 03:47:40 2023
- Thu Jun 29 03:47:40 2023
- Thu Jun 29 03:47:40 2023 Msieve v. 1.53 (SVN 988)
- Thu Jun 29 03:47:40 2023 random seeds: 2f8ed08c 8d62d625
- Thu Jun 29 03:47:40 2023 factoring 12943183660417699578021976140598873360713088977989284872204006320610367212752078341005579093413525653891591540941468522029259122802148400035233511710266072873 (158 digits)
- Thu Jun 29 03:47:41 2023 searching for 15-digit factors
- Thu Jun 29 03:47:42 2023 commencing number field sieve (158-digit input)
- Thu Jun 29 03:47:42 2023 R0: -5422834402439821267191615209764
- Thu Jun 29 03:47:42 2023 R1: 24938104724303017
- Thu Jun 29 03:47:42 2023 A0: 61822489377647437478312990510344850926965
- Thu Jun 29 03:47:42 2023 A1: 3774982577244350259876290961932391
- Thu Jun 29 03:47:42 2023 A2: -399934835137785069094115143
- Thu Jun 29 03:47:42 2023 A3: -8771174797324256255
- Thu Jun 29 03:47:42 2023 A4: 440737756994
- Thu Jun 29 03:47:42 2023 A5: 2760
- Thu Jun 29 03:47:42 2023 skew 33455760.56, size 2.734e-015, alpha -7.760, combined = 2.041e-012 rroots = 5
- Thu Jun 29 03:47:42 2023
- Thu Jun 29 03:47:42 2023 commencing relation filtering
- Thu Jun 29 03:47:42 2023 setting target matrix density to 130.0
- Thu Jun 29 03:47:42 2023 estimated available RAM is 12041.5 MB
- Thu Jun 29 03:47:42 2023 commencing duplicate removal, pass 1
- Thu Jun 29 03:49:29 2023 error -15 reading relation 8553565
- Thu Jun 29 03:49:29 2023 error -15 reading relation 8580141
- Thu Jun 29 03:49:38 2023 error -1 reading relation 9295111
- Thu Jun 29 03:49:38 2023 error -1 reading relation 9303841
- Thu Jun 29 03:49:38 2023 error -1 reading relation 9312622
- Thu Jun 29 03:49:55 2023 error -9 reading relation 10544210
- Thu Jun 29 03:50:45 2023 error -15 reading relation 14465601
- Thu Jun 29 03:51:00 2023 error -9 reading relation 15688135
- Thu Jun 29 03:51:01 2023 error -15 reading relation 15697605
- Thu Jun 29 03:51:01 2023 error -9 reading relation 15705630
- Thu Jun 29 03:51:01 2023 error -15 reading relation 15715495
- Thu Jun 29 03:52:06 2023 error -15 reading relation 20862725
- Thu Jun 29 03:53:03 2023 error -1 reading relation 25259132
- Thu Jun 29 03:59:23 2023 error -9 reading relation 53950040
- Thu Jun 29 03:59:54 2023 error -1 reading relation 56472346
- Thu Jun 29 03:59:54 2023 error -5 reading relation 56504820
- Thu Jun 29 04:00:44 2023 error -15 reading relation 60440014
- Thu Jun 29 04:01:22 2023 error -9 reading relation 63460786
- Thu Jun 29 04:01:22 2023 error -15 reading relation 63471201
- Thu Jun 29 04:01:23 2023 error -5 reading relation 63480365
- Thu Jun 29 04:01:23 2023 error -15 reading relation 63490578
- Thu Jun 29 04:02:24 2023 error -1 reading relation 68348315
- Thu Jun 29 04:04:13 2023 error -15 reading relation 76952804
- Thu Jun 29 04:04:55 2023 error -1 reading relation 80119298
- Thu Jun 29 04:05:17 2023 error -9 reading relation 81869341
- Thu Jun 29 04:05:44 2023 error -15 reading relation 83896215
- Thu Jun 29 04:05:44 2023 error -15 reading relation 83916628
- Thu Jun 29 04:05:44 2023 error -9 reading relation 83927071
- Thu Jun 29 04:05:45 2023 error -9 reading relation 83938194
- Thu Jun 29 04:06:47 2023 error -15 reading relation 88587966
- Thu Jun 29 04:06:53 2023 error -9 reading relation 88989156
- Thu Jun 29 04:07:05 2023 error -15 reading relation 89930980
- Thu Jun 29 04:07:05 2023 error -15 reading relation 89940089
- Thu Jun 29 04:07:05 2023 error -9 reading relation 89950474
- Thu Jun 29 04:07:05 2023 error -15 reading relation 89969080
- Thu Jun 29 04:07:40 2023 error -15 reading relation 92534368
- Thu Jun 29 04:07:41 2023 error -5 reading relation 92665348
- Thu Jun 29 04:07:43 2023 error -15 reading relation 92749711
- Thu Jun 29 04:09:06 2023 error -15 reading relation 98791454
- Thu Jun 29 04:11:19 2023 error -9 reading relation 108781781
- Thu Jun 29 04:11:19 2023 error -9 reading relation 108791922
- Thu Jun 29 04:11:19 2023 error -9 reading relation 108801104
- Thu Jun 29 04:11:20 2023 error -9 reading relation 108810111
- Thu Jun 29 04:11:20 2023 error -15 reading relation 108810956
- Thu Jun 29 04:11:20 2023 error -15 reading relation 108816178
- Thu Jun 29 04:11:43 2023 error -1 reading relation 110692995
- Thu Jun 29 04:11:43 2023 error -1 reading relation 110713293
- Thu Jun 29 04:13:00 2023 error -15 reading relation 116793422
- Thu Jun 29 04:13:12 2023 error -15 reading relation 117712793
- Thu Jun 29 04:13:13 2023 error -15 reading relation 117773743
- Thu Jun 29 04:13:45 2023 error -9 reading relation 120418673
- Thu Jun 29 04:16:28 2023 skipped 26 relations with composite factors
- Thu Jun 29 04:16:28 2023 found 26642337 hash collisions in 133945984 relations
- Thu Jun 29 04:17:05 2023 added 122705 free relations
- Thu Jun 29 04:17:05 2023 commencing duplicate removal, pass 2
- Thu Jun 29 04:19:00 2023 found 25418140 duplicates and 108650549 unique relations
- Thu Jun 29 04:19:00 2023 memory use: 660.8 MB
- Thu Jun 29 04:19:00 2023 reading ideals above 59965440
- Thu Jun 29 04:19:00 2023 commencing singleton removal, initial pass
- Thu Jun 29 04:35:41 2023 memory use: 2756.0 MB
- Thu Jun 29 04:35:41 2023 reading all ideals from disk
- Thu Jun 29 04:35:44 2023 memory use: 1875.8 MB
- Thu Jun 29 04:35:50 2023 commencing in-memory singleton removal
- Thu Jun 29 04:35:55 2023 begin with 108650549 relations and 84781870 unique ideals
- Thu Jun 29 04:36:42 2023 reduce to 76183009 relations and 49421568 ideals in 12 passes
- Thu Jun 29 04:36:42 2023 max relations containing the same ideal: 60
- Thu Jun 29 04:36:49 2023 reading ideals above 720000
- Thu Jun 29 04:36:50 2023 commencing singleton removal, initial pass
- Thu Jun 29 04:51:11 2023 memory use: 1506.0 MB
- Thu Jun 29 04:51:11 2023 reading all ideals from disk
- Thu Jun 29 04:51:16 2023 memory use: 2776.7 MB
- Thu Jun 29 04:51:26 2023 keeping 56138234 ideals with weight <= 200, target excess is 402718
- Thu Jun 29 04:51:36 2023 commencing in-memory singleton removal
- Thu Jun 29 04:51:44 2023 begin with 76183009 relations and 56138234 unique ideals
- Thu Jun 29 04:52:13 2023 reduce to 76182727 relations and 56137952 ideals in 4 passes
- Thu Jun 29 04:52:13 2023 max relations containing the same ideal: 200
- Thu Jun 29 04:52:52 2023 removing 8036607 relations and 6036607 ideals in 2000000 cliques
- Thu Jun 29 04:52:56 2023 commencing in-memory singleton removal
- Thu Jun 29 04:53:03 2023 begin with 68146120 relations and 56137952 unique ideals
- Thu Jun 29 04:53:47 2023 reduce to 67482207 relations and 49416002 ideals in 7 passes
- Thu Jun 29 04:53:47 2023 max relations containing the same ideal: 195
- Thu Jun 29 04:54:23 2023 removing 6367016 relations and 4367016 ideals in 2000000 cliques
- Thu Jun 29 04:54:26 2023 commencing in-memory singleton removal
- Thu Jun 29 04:54:32 2023 begin with 61115191 relations and 49416002 unique ideals
- Thu Jun 29 04:55:11 2023 reduce to 60660414 relations and 44580862 ideals in 7 passes
- Thu Jun 29 04:55:11 2023 max relations containing the same ideal: 182
- Thu Jun 29 04:55:44 2023 removing 5926396 relations and 3926396 ideals in 2000000 cliques
- Thu Jun 29 04:55:47 2023 commencing in-memory singleton removal
- Thu Jun 29 04:55:53 2023 begin with 54734018 relations and 44580862 unique ideals
- Thu Jun 29 04:56:22 2023 reduce to 54332442 relations and 40240822 ideals in 6 passes
- Thu Jun 29 04:56:22 2023 max relations containing the same ideal: 170
- Thu Jun 29 04:56:52 2023 removing 5701646 relations and 3701646 ideals in 2000000 cliques
- Thu Jun 29 04:56:55 2023 commencing in-memory singleton removal
- Thu Jun 29 04:57:00 2023 begin with 48630796 relations and 40240822 unique ideals
- Thu Jun 29 04:57:31 2023 reduce to 48242550 relations and 36138305 ideals in 7 passes
- Thu Jun 29 04:57:31 2023 max relations containing the same ideal: 158
- Thu Jun 29 04:57:58 2023 removing 5558775 relations and 3558775 ideals in 2000000 cliques
- Thu Jun 29 04:58:00 2023 commencing in-memory singleton removal
- Thu Jun 29 04:58:05 2023 begin with 42683775 relations and 36138305 unique ideals
- Thu Jun 29 04:58:32 2023 reduce to 42290188 relations and 32171751 ideals in 7 passes
- Thu Jun 29 04:58:32 2023 max relations containing the same ideal: 148
- Thu Jun 29 04:58:55 2023 removing 5469322 relations and 3469322 ideals in 2000000 cliques
- Thu Jun 29 04:58:58 2023 commencing in-memory singleton removal
- Thu Jun 29 04:59:02 2023 begin with 36820866 relations and 32171751 unique ideals
- Thu Jun 29 04:59:24 2023 reduce to 36406738 relations and 28271605 ideals in 7 passes
- Thu Jun 29 04:59:24 2023 max relations containing the same ideal: 134
- Thu Jun 29 04:59:45 2023 removing 5415476 relations and 3415476 ideals in 2000000 cliques
- Thu Jun 29 04:59:47 2023 commencing in-memory singleton removal
- Thu Jun 29 04:59:51 2023 begin with 30991262 relations and 28271605 unique ideals
- Thu Jun 29 05:00:09 2023 reduce to 30533068 relations and 24376811 ideals in 7 passes
- Thu Jun 29 05:00:09 2023 max relations containing the same ideal: 119
- Thu Jun 29 05:00:27 2023 removing 5386509 relations and 3386509 ideals in 2000000 cliques
- Thu Jun 29 05:00:29 2023 commencing in-memory singleton removal
- Thu Jun 29 05:00:32 2023 begin with 25146559 relations and 24376811 unique ideals
- Thu Jun 29 05:00:47 2023 reduce to 24614993 relations and 20430256 ideals in 7 passes
- Thu Jun 29 05:00:47 2023 max relations containing the same ideal: 105
- Thu Jun 29 05:01:01 2023 removing 5380030 relations and 3380030 ideals in 2000000 cliques
- Thu Jun 29 05:01:03 2023 commencing in-memory singleton removal
- Thu Jun 29 05:01:05 2023 begin with 19234963 relations and 20430256 unique ideals
- Thu Jun 29 05:01:16 2023 reduce to 18586847 relations and 16358525 ideals in 7 passes
- Thu Jun 29 05:01:16 2023 max relations containing the same ideal: 84
- Thu Jun 29 05:01:28 2023 removing 4834359 relations and 3073190 ideals in 1761169 cliques
- Thu Jun 29 05:01:29 2023 commencing in-memory singleton removal
- Thu Jun 29 05:01:31 2023 begin with 13752488 relations and 16358525 unique ideals
- Thu Jun 29 05:01:39 2023 reduce to 13020993 relations and 12494840 ideals in 8 passes
- Thu Jun 29 05:01:39 2023 max relations containing the same ideal: 65
- Thu Jun 29 05:01:47 2023 removing 321120 relations and 262120 ideals in 59000 cliques
- Thu Jun 29 05:01:47 2023 commencing in-memory singleton removal
- Thu Jun 29 05:01:49 2023 begin with 12699873 relations and 12494840 unique ideals
- Thu Jun 29 05:01:54 2023 reduce to 12692983 relations and 12225788 ideals in 5 passes
- Thu Jun 29 05:01:54 2023 max relations containing the same ideal: 64
- Thu Jun 29 05:01:56 2023 relations with 0 large ideals: 1266
- Thu Jun 29 05:01:56 2023 relations with 1 large ideals: 8292
- Thu Jun 29 05:01:56 2023 relations with 2 large ideals: 112782
- Thu Jun 29 05:01:56 2023 relations with 3 large ideals: 642904
- Thu Jun 29 05:01:56 2023 relations with 4 large ideals: 1896690
- Thu Jun 29 05:01:56 2023 relations with 5 large ideals: 3231686
- Thu Jun 29 05:01:56 2023 relations with 6 large ideals: 3405879
- Thu Jun 29 05:01:56 2023 relations with 7+ large ideals: 3393484
- Thu Jun 29 05:01:56 2023 commencing 2-way merge
- Thu Jun 29 05:02:06 2023 reduce to 8399782 relation sets and 7932587 unique ideals
- Thu Jun 29 05:02:06 2023 commencing full merge
- Thu Jun 29 05:05:57 2023 memory use: 1003.8 MB
- Thu Jun 29 05:05:59 2023 found 3674745 cycles, need 3658787
- Thu Jun 29 05:05:59 2023 weight of 3658787 cycles is about 476202225 (130.15/cycle)
- Thu Jun 29 05:05:59 2023 distribution of cycle lengths:
- Thu Jun 29 05:05:59 2023 1 relations: 87088
- Thu Jun 29 05:05:59 2023 2 relations: 172540
- Thu Jun 29 05:05:59 2023 3 relations: 226561
- Thu Jun 29 05:05:59 2023 4 relations: 250190
- Thu Jun 29 05:05:59 2023 5 relations: 270872
- Thu Jun 29 05:05:59 2023 6 relations: 276042
- Thu Jun 29 05:05:59 2023 7 relations: 274455
- Thu Jun 29 05:05:59 2023 8 relations: 264133
- Thu Jun 29 05:05:59 2023 9 relations: 248432
- Thu Jun 29 05:05:59 2023 10+ relations: 1588474
- Thu Jun 29 05:05:59 2023 heaviest cycle: 28 relations
- Thu Jun 29 05:06:02 2023 commencing cycle optimization
- Thu Jun 29 05:06:10 2023 start with 34723630 relations
- Thu Jun 29 05:08:08 2023 pruned 1895859 relations
- Thu Jun 29 05:08:08 2023 memory use: 880.8 MB
- Thu Jun 29 05:08:08 2023 distribution of cycle lengths:
- Thu Jun 29 05:08:08 2023 1 relations: 87088
- Thu Jun 29 05:08:08 2023 2 relations: 178103
- Thu Jun 29 05:08:08 2023 3 relations: 237593
- Thu Jun 29 05:08:08 2023 4 relations: 263441
- Thu Jun 29 05:08:08 2023 5 relations: 287787
- Thu Jun 29 05:08:08 2023 6 relations: 293576
- Thu Jun 29 05:08:08 2023 7 relations: 292903
- Thu Jun 29 05:08:08 2023 8 relations: 280434
- Thu Jun 29 05:08:08 2023 9 relations: 262873
- Thu Jun 29 05:08:08 2023 10+ relations: 1474989
- Thu Jun 29 05:08:08 2023 heaviest cycle: 28 relations
- Thu Jun 29 05:08:15 2023 RelProcTime: 4833
- Thu Jun 29 05:08:15 2023
- Thu Jun 29 05:08:15 2023 commencing linear algebra
- Thu Jun 29 05:08:16 2023 read 3658787 cycles
- Thu Jun 29 05:08:27 2023 cycles contain 12457076 unique relations
- Thu Jun 29 05:10:40 2023 read 12457076 relations
- Thu Jun 29 05:11:09 2023 using 20 quadratic characters above 4294917295
- Thu Jun 29 05:12:35 2023 building initial matrix
- Thu Jun 29 05:16:35 2023 memory use: 1733.3 MB
- Thu Jun 29 05:16:39 2023 read 3658787 cycles
- Thu Jun 29 05:16:40 2023 matrix is 3658608 x 3658787 (1829.7 MB) with weight 561092539 (153.35/col)
- Thu Jun 29 05:16:40 2023 sparse part has weight 435751056 (119.10/col)
- Thu Jun 29 05:17:36 2023 filtering completed in 2 passes
- Thu Jun 29 05:17:37 2023 matrix is 3658541 x 3658720 (1829.7 MB) with weight 561088985 (153.36/col)
- Thu Jun 29 05:17:37 2023 sparse part has weight 435749996 (119.10/col)
- Thu Jun 29 05:17:51 2023 matrix starts at (0, 0)
- Thu Jun 29 05:17:52 2023 matrix is 3658541 x 3658720 (1829.7 MB) with weight 561088985 (153.36/col)
- Thu Jun 29 05:17:52 2023 sparse part has weight 435749996 (119.10/col)
- Thu Jun 29 05:17:52 2023 saving the first 48 matrix rows for later
- Thu Jun 29 05:17:54 2023 matrix includes 64 packed rows
- Thu Jun 29 05:17:55 2023 matrix is 3658493 x 3658720 (1784.1 MB) with weight 482029404 (131.75/col)
- Thu Jun 29 05:17:55 2023 sparse part has weight 431114423 (117.83/col)
- Thu Jun 29 05:17:55 2023 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Thu Jun 29 05:18:27 2023 commencing Lanczos iteration (6 threads)
- Thu Jun 29 05:18:27 2023 memory use: 1470.0 MB
- Thu Jun 29 05:18:45 2023 linear algebra at 0.0%, ETA 12h 4m
- Thu Jun 29 05:18:51 2023 checkpointing every 310000 dimensions
- Thu Jun 29 17:19:48 2023 lanczos halted after 57860 iterations (dim = 3658491)
- Thu Jun 29 17:19:54 2023 recovered 27 nontrivial dependencies
- Thu Jun 29 17:19:55 2023 BLanczosTime: 43900
- Thu Jun 29 17:19:55 2023
- Thu Jun 29 17:19:55 2023 commencing square root phase
- Thu Jun 29 17:19:55 2023 handling dependencies 1 to 64
- Thu Jun 29 17:19:55 2023 reading relations for dependency 1
- Thu Jun 29 17:19:56 2023 read 1829052 cycles
- Thu Jun 29 17:20:01 2023 cycles contain 6227594 unique relations
- Thu Jun 29 17:21:33 2023 read 6227594 relations
- Thu Jun 29 17:22:14 2023 multiplying 6227594 relations
- Thu Jun 29 17:29:22 2023 multiply complete, coefficients have about 308.96 million bits
- Thu Jun 29 17:29:24 2023 initial square root is modulo 349787
- Thu Jun 29 17:37:13 2023 GCD is N, no factor found
- Thu Jun 29 17:37:13 2023 reading relations for dependency 2
- Thu Jun 29 17:37:15 2023 read 1830120 cycles
- Thu Jun 29 17:37:20 2023 cycles contain 6229714 unique relations
- Thu Jun 29 17:38:53 2023 read 6229714 relations
- Thu Jun 29 17:39:33 2023 multiplying 6229714 relations
- Thu Jun 29 17:46:32 2023 multiply complete, coefficients have about 309.07 million bits
- Thu Jun 29 17:46:34 2023 initial square root is modulo 351383
- Thu Jun 29 17:54:23 2023 GCD is 1, no factor found
- Thu Jun 29 17:54:23 2023 reading relations for dependency 3
- Thu Jun 29 17:54:24 2023 read 1828776 cycles
- Thu Jun 29 17:54:29 2023 cycles contain 6225218 unique relations
- Thu Jun 29 17:56:02 2023 read 6225218 relations
- Thu Jun 29 17:56:42 2023 multiplying 6225218 relations
- Thu Jun 29 18:03:41 2023 multiply complete, coefficients have about 308.85 million bits
- Thu Jun 29 18:03:44 2023 initial square root is modulo 348217
- Thu Jun 29 18:11:33 2023 GCD is 1, no factor found
- Thu Jun 29 18:11:33 2023 reading relations for dependency 4
- Thu Jun 29 18:11:35 2023 read 1828815 cycles
- Thu Jun 29 18:11:39 2023 cycles contain 6228426 unique relations
- Thu Jun 29 18:13:13 2023 read 6228426 relations
- Thu Jun 29 18:13:52 2023 multiplying 6228426 relations
- Thu Jun 29 18:20:49 2023 multiply complete, coefficients have about 309.00 million bits
- Thu Jun 29 18:20:51 2023 initial square root is modulo 350453
- Thu Jun 29 18:28:39 2023 GCD is N, no factor found
- Thu Jun 29 18:28:39 2023 reading relations for dependency 5
- Thu Jun 29 18:28:40 2023 read 1828793 cycles
- Thu Jun 29 18:28:45 2023 cycles contain 6227034 unique relations
- Thu Jun 29 18:30:18 2023 read 6227034 relations
- Thu Jun 29 18:30:58 2023 multiplying 6227034 relations
- Thu Jun 29 18:38:24 2023 multiply complete, coefficients have about 308.93 million bits
- Thu Jun 29 18:38:26 2023 initial square root is modulo 349303
- Thu Jun 29 18:47:50 2023 sqrtTime: 5275
- Thu Jun 29 18:47:50 2023 p67 factor: 2614489850300033619224163789307779772250422257647337685742005481543
- Thu Jun 29 18:47:50 2023 p91 factor: 4950558006156484310794201794536155405769918258333369584967581146035454855930081686146391311
- Thu Jun 29 18:47:50 2023 elapsed time 15:00:10
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