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- Sun Feb 07 08:42:39 2021
- Sun Feb 07 08:42:39 2021
- Sun Feb 07 08:42:39 2021 Msieve v. 1.53 (SVN 988)
- Sun Feb 07 08:42:39 2021 random seeds: 9bffb530 beb66d54
- Sun Feb 07 08:42:39 2021 factoring 445091394400979280212152604310789809753232053745573512553259903492328704128577603218291382287648354379219482933146007312451085611543623417911038301077796011 (156 digits)
- Sun Feb 07 08:42:40 2021 searching for 15-digit factors
- Sun Feb 07 08:42:41 2021 commencing number field sieve (156-digit input)
- Sun Feb 07 08:42:41 2021 R0: -1368237609203113616759925706310
- Sun Feb 07 08:42:41 2021 R1: 1940860019858923
- Sun Feb 07 08:42:41 2021 A0: 38602927592513638431982150433511104937
- Sun Feb 07 08:42:41 2021 A1: 20909558860038231698787205807052
- Sun Feb 07 08:42:41 2021 A2: -25817449465764028201259184
- Sun Feb 07 08:42:41 2021 A3: -3834794812509421852
- Sun Feb 07 08:42:41 2021 A4: 2137292852747
- Sun Feb 07 08:42:41 2021 A5: 92820
- Sun Feb 07 08:42:41 2021 skew 3792661.56, size 3.346e-015, alpha -6.363, combined = 2.303e-012 rroots = 5
- Sun Feb 07 08:42:41 2021
- Sun Feb 07 08:42:41 2021 commencing relation filtering
- Sun Feb 07 08:42:41 2021 setting target matrix density to 120.0
- Sun Feb 07 08:42:41 2021 estimated available RAM is 12043.5 MB
- Sun Feb 07 08:42:41 2021 commencing duplicate removal, pass 1
- Sun Feb 07 08:43:44 2021 error -15 reading relation 4383681
- Sun Feb 07 08:46:33 2021 error -15 reading relation 16462066
- Sun Feb 07 08:48:48 2021 error -9 reading relation 26308471
- Sun Feb 07 08:50:19 2021 error -9 reading relation 33086987
- Sun Feb 07 08:52:29 2021 error -1 reading relation 42769058
- Sun Feb 07 08:52:38 2021 error -15 reading relation 43491424
- Sun Feb 07 08:52:46 2021 error -1 reading relation 44103203
- Sun Feb 07 08:53:12 2021 error -9 reading relation 46091492
- Sun Feb 07 08:53:15 2021 error -1 reading relation 46289127
- Sun Feb 07 08:53:17 2021 error -9 reading relation 46463919
- Sun Feb 07 08:53:18 2021 error -5 reading relation 46541059
- Sun Feb 07 08:53:24 2021 error -15 reading relation 46958478
- Sun Feb 07 08:53:43 2021 error -1 reading relation 48445284
- Sun Feb 07 08:53:50 2021 error -5 reading relation 48918722
- Sun Feb 07 08:54:12 2021 error -15 reading relation 50576199
- Sun Feb 07 08:54:38 2021 error -1 reading relation 52445334
- Sun Feb 07 08:54:38 2021 error -1 reading relation 52448937
- Sun Feb 07 08:54:39 2021 error -15 reading relation 52508810
- Sun Feb 07 08:55:05 2021 error -15 reading relation 54556562
- Sun Feb 07 08:55:06 2021 error -1 reading relation 54693645
- Sun Feb 07 08:55:57 2021 error -15 reading relation 58615079
- Sun Feb 07 08:56:04 2021 error -9 reading relation 59230445
- Sun Feb 07 08:56:04 2021 error -1 reading relation 59232674
- Sun Feb 07 08:56:04 2021 error -9 reading relation 59238177
- Sun Feb 07 08:56:05 2021 error -1 reading relation 59266520
- Sun Feb 07 08:56:19 2021 skipped 16 relations with composite factors
- Sun Feb 07 08:56:19 2021 found 13761225 hash collisions in 60363949 relations
- Sun Feb 07 08:56:58 2021 added 121810 free relations
- Sun Feb 07 08:56:58 2021 commencing duplicate removal, pass 2
- Sun Feb 07 08:57:48 2021 found 15010627 duplicates and 45475132 unique relations
- Sun Feb 07 08:57:48 2021 memory use: 330.4 MB
- Sun Feb 07 08:57:48 2021 reading ideals above 720000
- Sun Feb 07 08:57:49 2021 commencing singleton removal, initial pass
- Sun Feb 07 09:07:46 2021 memory use: 1378.0 MB
- Sun Feb 07 09:07:46 2021 reading all ideals from disk
- Sun Feb 07 09:07:49 2021 memory use: 1649.1 MB
- Sun Feb 07 09:07:56 2021 keeping 45998997 ideals with weight <= 200, target excess is 236358
- Sun Feb 07 09:08:02 2021 commencing in-memory singleton removal
- Sun Feb 07 09:08:08 2021 begin with 45475132 relations and 45998997 unique ideals
- Sun Feb 07 09:08:59 2021 reduce to 26089074 relations and 24356529 ideals in 15 passes
- Sun Feb 07 09:08:59 2021 max relations containing the same ideal: 141
- Sun Feb 07 09:09:16 2021 removing 2811133 relations and 2411133 ideals in 400000 cliques
- Sun Feb 07 09:09:17 2021 commencing in-memory singleton removal
- Sun Feb 07 09:09:20 2021 begin with 23277941 relations and 24356529 unique ideals
- Sun Feb 07 09:09:46 2021 reduce to 23014128 relations and 21676227 ideals in 10 passes
- Sun Feb 07 09:09:46 2021 max relations containing the same ideal: 134
- Sun Feb 07 09:10:02 2021 removing 2168764 relations and 1768764 ideals in 400000 cliques
- Sun Feb 07 09:10:03 2021 commencing in-memory singleton removal
- Sun Feb 07 09:10:06 2021 begin with 20845364 relations and 21676227 unique ideals
- Sun Feb 07 09:10:25 2021 reduce to 20662933 relations and 19721764 ideals in 8 passes
- Sun Feb 07 09:10:25 2021 max relations containing the same ideal: 125
- Sun Feb 07 09:10:38 2021 removing 1981681 relations and 1581681 ideals in 400000 cliques
- Sun Feb 07 09:10:39 2021 commencing in-memory singleton removal
- Sun Feb 07 09:10:42 2021 begin with 18681252 relations and 19721764 unique ideals
- Sun Feb 07 09:11:00 2021 reduce to 18509096 relations and 17964756 ideals in 9 passes
- Sun Feb 07 09:11:00 2021 max relations containing the same ideal: 114
- Sun Feb 07 09:11:12 2021 removing 1395048 relations and 1124884 ideals in 270164 cliques
- Sun Feb 07 09:11:13 2021 commencing in-memory singleton removal
- Sun Feb 07 09:11:15 2021 begin with 17114048 relations and 17964756 unique ideals
- Sun Feb 07 09:11:30 2021 reduce to 17023809 relations and 16748358 ideals in 8 passes
- Sun Feb 07 09:11:30 2021 max relations containing the same ideal: 111
- Sun Feb 07 09:11:45 2021 relations with 0 large ideals: 762
- Sun Feb 07 09:11:45 2021 relations with 1 large ideals: 1740
- Sun Feb 07 09:11:45 2021 relations with 2 large ideals: 27968
- Sun Feb 07 09:11:45 2021 relations with 3 large ideals: 225424
- Sun Feb 07 09:11:45 2021 relations with 4 large ideals: 1000306
- Sun Feb 07 09:11:45 2021 relations with 5 large ideals: 2656497
- Sun Feb 07 09:11:45 2021 relations with 6 large ideals: 4415463
- Sun Feb 07 09:11:45 2021 relations with 7+ large ideals: 8695649
- Sun Feb 07 09:11:45 2021 commencing 2-way merge
- Sun Feb 07 09:12:03 2021 reduce to 10833662 relation sets and 10558210 unique ideals
- Sun Feb 07 09:12:03 2021 commencing full merge
- Sun Feb 07 09:22:58 2021 memory use: 489.9 MB
- Sun Feb 07 09:22:58 2021 found 53436 cycles, need 2301058
- Sun Feb 07 09:22:58 2021 too few cycles, matrix probably cannot build
- Sun Feb 07 10:02:31 2021
- Sun Feb 07 10:02:31 2021
- Sun Feb 07 10:02:31 2021 Msieve v. 1.53 (SVN 988)
- Sun Feb 07 10:02:31 2021 random seeds: 05545880 0e639703
- Sun Feb 07 10:02:31 2021 factoring 445091394400979280212152604310789809753232053745573512553259903492328704128577603218291382287648354379219482933146007312451085611543623417911038301077796011 (156 digits)
- Sun Feb 07 10:02:32 2021 searching for 15-digit factors
- Sun Feb 07 10:02:33 2021 commencing number field sieve (156-digit input)
- Sun Feb 07 10:02:33 2021 R0: -1368237609203113616759925706310
- Sun Feb 07 10:02:33 2021 R1: 1940860019858923
- Sun Feb 07 10:02:33 2021 A0: 38602927592513638431982150433511104937
- Sun Feb 07 10:02:33 2021 A1: 20909558860038231698787205807052
- Sun Feb 07 10:02:33 2021 A2: -25817449465764028201259184
- Sun Feb 07 10:02:33 2021 A3: -3834794812509421852
- Sun Feb 07 10:02:33 2021 A4: 2137292852747
- Sun Feb 07 10:02:33 2021 A5: 92820
- Sun Feb 07 10:02:33 2021 skew 3792661.56, size 3.346e-015, alpha -6.363, combined = 2.303e-012 rroots = 5
- Sun Feb 07 10:02:33 2021
- Sun Feb 07 10:02:33 2021 commencing relation filtering
- Sun Feb 07 10:02:33 2021 setting target matrix density to 100.0
- Sun Feb 07 10:02:33 2021 estimated available RAM is 12043.5 MB
- Sun Feb 07 10:02:33 2021 commencing duplicate removal, pass 1
- Sun Feb 07 10:03:28 2021 error -15 reading relation 4383681
- Sun Feb 07 10:06:09 2021 error -15 reading relation 16462066
- Sun Feb 07 10:08:23 2021 error -9 reading relation 26308471
- Sun Feb 07 10:09:55 2021 error -9 reading relation 33086987
- Sun Feb 07 10:11:57 2021 error -1 reading relation 42769058
- Sun Feb 07 10:12:07 2021 error -15 reading relation 43491424
- Sun Feb 07 10:12:14 2021 error -1 reading relation 44103203
- Sun Feb 07 10:12:40 2021 error -9 reading relation 46091492
- Sun Feb 07 10:12:42 2021 error -1 reading relation 46289127
- Sun Feb 07 10:12:44 2021 error -9 reading relation 46463919
- Sun Feb 07 10:12:45 2021 error -5 reading relation 46541059
- Sun Feb 07 10:12:51 2021 error -15 reading relation 46958478
- Sun Feb 07 10:13:09 2021 error -1 reading relation 48445284
- Sun Feb 07 10:13:15 2021 error -5 reading relation 48918722
- Sun Feb 07 10:13:36 2021 error -15 reading relation 50576199
- Sun Feb 07 10:14:00 2021 error -1 reading relation 52445334
- Sun Feb 07 10:14:00 2021 error -1 reading relation 52448937
- Sun Feb 07 10:14:01 2021 error -15 reading relation 52508810
- Sun Feb 07 10:14:27 2021 error -15 reading relation 54556562
- Sun Feb 07 10:14:28 2021 error -1 reading relation 54693645
- Sun Feb 07 10:15:18 2021 error -15 reading relation 58615079
- Sun Feb 07 10:15:26 2021 error -9 reading relation 59230445
- Sun Feb 07 10:15:26 2021 error -1 reading relation 59232674
- Sun Feb 07 10:15:26 2021 error -9 reading relation 59238177
- Sun Feb 07 10:15:26 2021 error -1 reading relation 59266520
- Sun Feb 07 10:15:42 2021 skipped 16 relations with composite factors
- Sun Feb 07 10:15:42 2021 found 13768848 hash collisions in 60485759 relations
- Sun Feb 07 10:16:20 2021 commencing duplicate removal, pass 2
- Sun Feb 07 10:17:08 2021 found 15010627 duplicates and 45475132 unique relations
- Sun Feb 07 10:17:08 2021 memory use: 330.4 MB
- Sun Feb 07 10:17:08 2021 reading ideals above 720000
- Sun Feb 07 10:17:08 2021 commencing singleton removal, initial pass
- Sun Feb 07 10:26:13 2021 memory use: 1378.0 MB
- Sun Feb 07 10:26:13 2021 reading all ideals from disk
- Sun Feb 07 10:26:16 2021 memory use: 1649.1 MB
- Sun Feb 07 10:26:23 2021 keeping 45998997 ideals with weight <= 200, target excess is 236358
- Sun Feb 07 10:26:30 2021 commencing in-memory singleton removal
- Sun Feb 07 10:26:36 2021 begin with 45475132 relations and 45998997 unique ideals
- Sun Feb 07 10:27:28 2021 reduce to 26089074 relations and 24356529 ideals in 15 passes
- Sun Feb 07 10:27:28 2021 max relations containing the same ideal: 141
- Sun Feb 07 10:27:45 2021 removing 2811133 relations and 2411133 ideals in 400000 cliques
- Sun Feb 07 10:27:46 2021 commencing in-memory singleton removal
- Sun Feb 07 10:27:49 2021 begin with 23277941 relations and 24356529 unique ideals
- Sun Feb 07 10:28:15 2021 reduce to 23014128 relations and 21676227 ideals in 10 passes
- Sun Feb 07 10:28:15 2021 max relations containing the same ideal: 134
- Sun Feb 07 10:28:30 2021 removing 2168764 relations and 1768764 ideals in 400000 cliques
- Sun Feb 07 10:28:31 2021 commencing in-memory singleton removal
- Sun Feb 07 10:28:34 2021 begin with 20845364 relations and 21676227 unique ideals
- Sun Feb 07 10:28:53 2021 reduce to 20662933 relations and 19721764 ideals in 8 passes
- Sun Feb 07 10:28:53 2021 max relations containing the same ideal: 125
- Sun Feb 07 10:29:07 2021 removing 1981681 relations and 1581681 ideals in 400000 cliques
- Sun Feb 07 10:29:07 2021 commencing in-memory singleton removal
- Sun Feb 07 10:29:10 2021 begin with 18681252 relations and 19721764 unique ideals
- Sun Feb 07 10:29:28 2021 reduce to 18509096 relations and 17964756 ideals in 9 passes
- Sun Feb 07 10:29:28 2021 max relations containing the same ideal: 114
- Sun Feb 07 10:29:41 2021 removing 1395048 relations and 1124884 ideals in 270164 cliques
- Sun Feb 07 10:29:42 2021 commencing in-memory singleton removal
- Sun Feb 07 10:29:44 2021 begin with 17114048 relations and 17964756 unique ideals
- Sun Feb 07 10:29:59 2021 reduce to 17023809 relations and 16748358 ideals in 8 passes
- Sun Feb 07 10:29:59 2021 max relations containing the same ideal: 111
- Sun Feb 07 10:30:14 2021 relations with 0 large ideals: 762
- Sun Feb 07 10:30:14 2021 relations with 1 large ideals: 1740
- Sun Feb 07 10:30:14 2021 relations with 2 large ideals: 27968
- Sun Feb 07 10:30:14 2021 relations with 3 large ideals: 225424
- Sun Feb 07 10:30:14 2021 relations with 4 large ideals: 1000306
- Sun Feb 07 10:30:14 2021 relations with 5 large ideals: 2656497
- Sun Feb 07 10:30:14 2021 relations with 6 large ideals: 4415463
- Sun Feb 07 10:30:14 2021 relations with 7+ large ideals: 8695649
- Sun Feb 07 10:30:14 2021 commencing 2-way merge
- Sun Feb 07 10:30:31 2021 reduce to 10833662 relation sets and 10558210 unique ideals
- Sun Feb 07 10:30:31 2021 commencing full merge
- Sun Feb 07 10:35:20 2021 memory use: 1258.6 MB
- Sun Feb 07 10:35:23 2021 found 4945428 cycles, need 4926410
- Sun Feb 07 10:35:23 2021 weight of 4926410 cycles is about 493016310 (100.08/cycle)
- Sun Feb 07 10:35:23 2021 distribution of cycle lengths:
- Sun Feb 07 10:35:23 2021 1 relations: 469959
- Sun Feb 07 10:35:23 2021 2 relations: 440016
- Sun Feb 07 10:35:23 2021 3 relations: 442796
- Sun Feb 07 10:35:23 2021 4 relations: 418756
- Sun Feb 07 10:35:23 2021 5 relations: 401391
- Sun Feb 07 10:35:23 2021 6 relations: 362146
- Sun Feb 07 10:35:23 2021 7 relations: 338103
- Sun Feb 07 10:35:23 2021 8 relations: 302787
- Sun Feb 07 10:35:23 2021 9 relations: 270330
- Sun Feb 07 10:35:23 2021 10+ relations: 1480126
- Sun Feb 07 10:35:23 2021 heaviest cycle: 28 relations
- Sun Feb 07 10:35:27 2021 commencing cycle optimization
- Sun Feb 07 10:35:37 2021 start with 36553734 relations
- Sun Feb 07 10:37:27 2021 pruned 1308407 relations
- Sun Feb 07 10:37:28 2021 memory use: 1069.6 MB
- Sun Feb 07 10:37:28 2021 distribution of cycle lengths:
- Sun Feb 07 10:37:28 2021 1 relations: 469959
- Sun Feb 07 10:37:28 2021 2 relations: 452495
- Sun Feb 07 10:37:28 2021 3 relations: 462045
- Sun Feb 07 10:37:28 2021 4 relations: 433903
- Sun Feb 07 10:37:28 2021 5 relations: 415929
- Sun Feb 07 10:37:28 2021 6 relations: 373467
- Sun Feb 07 10:37:28 2021 7 relations: 347133
- Sun Feb 07 10:37:28 2021 8 relations: 308053
- Sun Feb 07 10:37:28 2021 9 relations: 275087
- Sun Feb 07 10:37:28 2021 10+ relations: 1388339
- Sun Feb 07 10:37:28 2021 heaviest cycle: 28 relations
- Sun Feb 07 10:37:37 2021 RelProcTime: 2104
- Sun Feb 07 10:37:37 2021
- Sun Feb 07 10:37:37 2021 commencing linear algebra
- Sun Feb 07 10:37:39 2021 read 4926410 cycles
- Sun Feb 07 10:37:51 2021 cycles contain 16801132 unique relations
- Sun Feb 07 10:40:39 2021 read 16801132 relations
- Sun Feb 07 10:41:17 2021 using 20 quadratic characters above 4294917295
- Sun Feb 07 10:43:22 2021 building initial matrix
- Sun Feb 07 10:48:09 2021 memory use: 2243.2 MB
- Sun Feb 07 10:48:16 2021 read 4926410 cycles
- Sun Feb 07 10:48:17 2021 matrix is 4926232 x 4926410 (1980.0 MB) with weight 607322054 (123.28/col)
- Sun Feb 07 10:48:17 2021 sparse part has weight 464842340 (94.36/col)
- Sun Feb 07 10:49:35 2021 filtering completed in 2 passes
- Sun Feb 07 10:49:37 2021 matrix is 4925556 x 4925734 (1979.9 MB) with weight 607292664 (123.29/col)
- Sun Feb 07 10:49:37 2021 sparse part has weight 464834357 (94.37/col)
- Sun Feb 07 10:49:55 2021 matrix starts at (0, 0)
- Sun Feb 07 10:49:56 2021 matrix is 4925556 x 4925734 (1979.9 MB) with weight 607292664 (123.29/col)
- Sun Feb 07 10:49:56 2021 sparse part has weight 464834357 (94.37/col)
- Sun Feb 07 10:49:56 2021 saving the first 48 matrix rows for later
- Sun Feb 07 10:49:59 2021 matrix includes 64 packed rows
- Sun Feb 07 10:50:00 2021 matrix is 4925508 x 4925734 (1922.9 MB) with weight 507539853 (103.04/col)
- Sun Feb 07 10:50:00 2021 sparse part has weight 454811972 (92.33/col)
- Sun Feb 07 10:50:00 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sun Feb 07 10:50:36 2021 commencing Lanczos iteration (4 threads)
- Sun Feb 07 10:50:36 2021 memory use: 1575.9 MB
- Sun Feb 07 10:51:08 2021 linear algebra at 0.0%, ETA 28h 2m
- Sun Feb 07 10:51:19 2021 checkpointing every 180000 dimensions
- Mon Feb 08 15:24:28 2021 lanczos halted after 77893 iterations (dim = 4925505)
- Mon Feb 08 15:24:38 2021 recovered 29 nontrivial dependencies
- Mon Feb 08 15:24:39 2021 BLanczosTime: 103622
- Mon Feb 08 15:24:39 2021
- Mon Feb 08 15:24:39 2021 commencing square root phase
- Mon Feb 08 15:24:39 2021 handling dependencies 1 to 64
- Mon Feb 08 15:24:39 2021 reading relations for dependency 1
- Mon Feb 08 15:24:41 2021 read 2462626 cycles
- Mon Feb 08 15:24:47 2021 cycles contain 8398220 unique relations
- Mon Feb 08 15:26:16 2021 read 8398220 relations
- Mon Feb 08 15:27:11 2021 multiplying 8398220 relations
- Mon Feb 08 15:38:30 2021 multiply complete, coefficients have about 445.97 million bits
- Mon Feb 08 15:38:34 2021 initial square root is modulo 100503043
- Mon Feb 08 15:56:22 2021 sqrtTime: 1903
- Mon Feb 08 15:56:22 2021 p62 factor: 87866880823196093717989332986849625768856186813917531736911553
- Mon Feb 08 15:56:22 2021 p94 factor: 5065519456603710645962460660640036311270504402884743575258709710713236835685799245454811425387
- Mon Feb 08 15:56:22 2021 elapsed time 29:53:51
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