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- Wed Dec 7 15:02:20 2022
- Wed Dec 7 15:02:20 2022
- Wed Dec 7 15:02:20 2022 Msieve v. 1.54 (SVN 1028)
- Wed Dec 7 15:02:20 2022 random seeds: bf2774a7 74660a3f
- Wed Dec 7 15:02:20 2022 factoring 16192653180263380311121310759949129923101439130017465752802405040046484840490884987396600462001519515171025943628208912153988265007815843450216451754922531793300738100571679841 (176 digits)
- Wed Dec 7 15:02:21 2022 no P-1/P+1/ECM available, skipping
- Wed Dec 7 15:02:21 2022 commencing number field sieve (176-digit input)
- Wed Dec 7 15:02:21 2022 R0: 21778071482940061661655974875633165533184
- Wed Dec 7 15:02:21 2022 R1: -1
- Wed Dec 7 15:02:21 2022 A0: -4
- Wed Dec 7 15:02:21 2022 A1: 0
- Wed Dec 7 15:02:21 2022 A2: 0
- Wed Dec 7 15:02:21 2022 A3: 0
- Wed Dec 7 15:02:21 2022 A4: 0
- Wed Dec 7 15:02:21 2022 A5: 0
- Wed Dec 7 15:02:21 2022 A6: 5
- Wed Dec 7 15:02:21 2022 skew 0.97, size 4.706e-12, alpha 2.070, combined = 3.681e-13 rroots = 2
- Wed Dec 7 15:02:21 2022
- Wed Dec 7 15:02:21 2022 commencing relation filtering
- Wed Dec 7 15:02:21 2022 setting target matrix density to 108.0
- Wed Dec 7 15:02:21 2022 estimated available RAM is 128848.2 MB
- Wed Dec 7 15:02:21 2022 commencing duplicate removal, pass 1
- Wed Dec 7 15:29:03 2022 skipped 107 relations with b > 2^32
- Wed Dec 7 15:29:03 2022 found 7964420 hash collisions in 190327709 relations
- Wed Dec 7 15:29:21 2022 added 1218185 free relations
- Wed Dec 7 15:29:21 2022 commencing duplicate removal, pass 2
- Wed Dec 7 15:30:17 2022 found 0 duplicates and 191545894 unique relations
- Wed Dec 7 15:30:17 2022 memory use: 522.4 MB
- Wed Dec 7 15:30:17 2022 reading ideals above 720000
- Wed Dec 7 15:30:17 2022 commencing singleton removal, initial pass
- Wed Dec 7 15:58:10 2022 memory use: 5512.0 MB
- Wed Dec 7 15:58:10 2022 reading all ideals from disk
- Wed Dec 7 15:58:14 2022 memory use: 7508.0 MB
- Wed Dec 7 15:58:38 2022 keeping 189591520 ideals with weight <= 200, target excess is 1162635
- Wed Dec 7 15:59:06 2022 commencing in-memory singleton removal
- Wed Dec 7 15:59:23 2022 begin with 191545894 relations and 189591520 unique ideals
- Wed Dec 7 16:02:12 2022 reduce to 90550888 relations and 75573253 ideals in 16 passes
- Wed Dec 7 16:02:12 2022 max relations containing the same ideal: 126
- Wed Dec 7 16:02:59 2022 removing 11016034 relations and 9016034 ideals in 2000000 cliques
- Wed Dec 7 16:03:02 2022 commencing in-memory singleton removal
- Wed Dec 7 16:03:10 2022 begin with 79534854 relations and 75573253 unique ideals
- Wed Dec 7 16:04:27 2022 reduce to 78565731 relations and 65562257 ideals in 9 passes
- Wed Dec 7 16:04:27 2022 max relations containing the same ideal: 113
- Wed Dec 7 16:05:08 2022 removing 8536290 relations and 6536290 ideals in 2000000 cliques
- Wed Dec 7 16:05:11 2022 commencing in-memory singleton removal
- Wed Dec 7 16:05:17 2022 begin with 70029441 relations and 65562257 unique ideals
- Wed Dec 7 16:06:23 2022 reduce to 69328055 relations and 58307056 ideals in 9 passes
- Wed Dec 7 16:06:23 2022 max relations containing the same ideal: 107
- Wed Dec 7 16:06:59 2022 removing 7818133 relations and 5818133 ideals in 2000000 cliques
- Wed Dec 7 16:07:01 2022 commencing in-memory singleton removal
- Wed Dec 7 16:07:07 2022 begin with 61509922 relations and 58307056 unique ideals
- Wed Dec 7 16:08:00 2022 reduce to 60844512 relations and 51806182 ideals in 9 passes
- Wed Dec 7 16:08:00 2022 max relations containing the same ideal: 96
- Wed Dec 7 16:08:31 2022 removing 7481994 relations and 5481994 ideals in 2000000 cliques
- Wed Dec 7 16:08:34 2022 commencing in-memory singleton removal
- Wed Dec 7 16:08:38 2022 begin with 53362518 relations and 51806182 unique ideals
- Wed Dec 7 16:09:21 2022 reduce to 52675928 relations and 45617618 ideals in 8 passes
- Wed Dec 7 16:09:21 2022 max relations containing the same ideal: 86
- Wed Dec 7 16:09:48 2022 removing 7309686 relations and 5309686 ideals in 2000000 cliques
- Wed Dec 7 16:09:50 2022 commencing in-memory singleton removal
- Wed Dec 7 16:09:54 2022 begin with 45366242 relations and 45617618 unique ideals
- Wed Dec 7 16:10:30 2022 reduce to 44614235 relations and 39530801 ideals in 9 passes
- Wed Dec 7 16:10:30 2022 max relations containing the same ideal: 77
- Wed Dec 7 16:10:53 2022 removing 7235694 relations and 5235694 ideals in 2000000 cliques
- Wed Dec 7 16:10:56 2022 commencing in-memory singleton removal
- Wed Dec 7 16:10:59 2022 begin with 37378541 relations and 39530801 unique ideals
- Wed Dec 7 16:11:32 2022 reduce to 36506504 relations and 33388955 ideals in 9 passes
- Wed Dec 7 16:11:32 2022 max relations containing the same ideal: 67
- Wed Dec 7 16:11:52 2022 removing 6575770 relations and 4806878 ideals in 1768892 cliques
- Wed Dec 7 16:11:54 2022 commencing in-memory singleton removal
- Wed Dec 7 16:11:56 2022 begin with 29930734 relations and 33388955 unique ideals
- Wed Dec 7 16:12:19 2022 reduce to 29031454 relations and 27644743 ideals in 9 passes
- Wed Dec 7 16:12:19 2022 max relations containing the same ideal: 59
- Wed Dec 7 16:12:35 2022 removing 298990 relations and 260936 ideals in 38054 cliques
- Wed Dec 7 16:12:36 2022 commencing in-memory singleton removal
- Wed Dec 7 16:12:38 2022 begin with 28732464 relations and 27644743 unique ideals
- Wed Dec 7 16:12:52 2022 reduce to 28730431 relations and 27381771 ideals in 6 passes
- Wed Dec 7 16:12:52 2022 max relations containing the same ideal: 59
- Wed Dec 7 16:12:58 2022 relations with 0 large ideals: 42236
- Wed Dec 7 16:12:58 2022 relations with 1 large ideals: 52449
- Wed Dec 7 16:12:58 2022 relations with 2 large ideals: 473399
- Wed Dec 7 16:12:58 2022 relations with 3 large ideals: 2133489
- Wed Dec 7 16:12:58 2022 relations with 4 large ideals: 5328128
- Wed Dec 7 16:12:58 2022 relations with 5 large ideals: 7827566
- Wed Dec 7 16:12:58 2022 relations with 6 large ideals: 6998735
- Wed Dec 7 16:12:58 2022 relations with 7+ large ideals: 5874429
- Wed Dec 7 16:12:58 2022 commencing 2-way merge
- Wed Dec 7 16:13:16 2022 reduce to 17301137 relation sets and 15952477 unique ideals
- Wed Dec 7 16:13:16 2022 commencing full merge
- Wed Dec 7 16:18:47 2022 memory use: 2005.9 MB
- Wed Dec 7 16:18:49 2022 found 8016065 cycles, need 7874677
- Wed Dec 7 16:18:53 2022 weight of 7874677 cycles is about 850550378 (108.01/cycle)
- Wed Dec 7 16:18:53 2022 distribution of cycle lengths:
- Wed Dec 7 16:18:53 2022 1 relations: 585713
- Wed Dec 7 16:18:53 2022 2 relations: 574341
- Wed Dec 7 16:18:53 2022 3 relations: 595885
- Wed Dec 7 16:18:53 2022 4 relations: 599855
- Wed Dec 7 16:18:53 2022 5 relations: 601359
- Wed Dec 7 16:18:53 2022 6 relations: 593042
- Wed Dec 7 16:18:53 2022 7 relations: 570911
- Wed Dec 7 16:18:53 2022 8 relations: 539171
- Wed Dec 7 16:18:53 2022 9 relations: 498847
- Wed Dec 7 16:18:53 2022 10+ relations: 2715553
- Wed Dec 7 16:18:53 2022 heaviest cycle: 27 relations
- Wed Dec 7 16:18:56 2022 commencing cycle optimization
- Wed Dec 7 16:19:12 2022 start with 62750867 relations
- Wed Dec 7 16:21:09 2022 pruned 2375130 relations
- Wed Dec 7 16:21:09 2022 memory use: 1801.9 MB
- Wed Dec 7 16:21:09 2022 distribution of cycle lengths:
- Wed Dec 7 16:21:09 2022 1 relations: 585713
- Wed Dec 7 16:21:09 2022 2 relations: 586620
- Wed Dec 7 16:21:09 2022 3 relations: 618120
- Wed Dec 7 16:21:09 2022 4 relations: 621004
- Wed Dec 7 16:21:09 2022 5 relations: 628489
- Wed Dec 7 16:21:09 2022 6 relations: 617827
- Wed Dec 7 16:21:09 2022 7 relations: 596105
- Wed Dec 7 16:21:09 2022 8 relations: 560322
- Wed Dec 7 16:21:09 2022 9 relations: 517133
- Wed Dec 7 16:21:09 2022 10+ relations: 2543344
- Wed Dec 7 16:21:09 2022 heaviest cycle: 26 relations
- Wed Dec 7 16:21:24 2022 RelProcTime: 4743
- Wed Dec 7 16:21:24 2022 elapsed time 01:19:04
- Wed Dec 7 16:29:49 2022
- Wed Dec 7 16:29:49 2022
- Wed Dec 7 16:29:49 2022 Msieve v. 1.54 (SVN 1028)
- Wed Dec 7 16:29:49 2022 random seeds: c7428a3b acde402d
- Wed Dec 7 16:29:49 2022 factoring 16192653180263380311121310759949129923101439130017465752802405040046484840490884987396600462001519515171025943628208912153988265007815843450216451754922531793300738100571679841 (176 digits)
- Wed Dec 7 16:29:49 2022 no P-1/P+1/ECM available, skipping
- Wed Dec 7 16:29:49 2022 commencing number field sieve (176-digit input)
- Wed Dec 7 16:29:49 2022 R0: 21778071482940061661655974875633165533184
- Wed Dec 7 16:29:49 2022 R1: -1
- Wed Dec 7 16:29:49 2022 A0: -4
- Wed Dec 7 16:29:49 2022 A1: 0
- Wed Dec 7 16:29:49 2022 A2: 0
- Wed Dec 7 16:29:49 2022 A3: 0
- Wed Dec 7 16:29:49 2022 A4: 0
- Wed Dec 7 16:29:49 2022 A5: 0
- Wed Dec 7 16:29:49 2022 A6: 5
- Wed Dec 7 16:29:49 2022 skew 0.97, size 4.706e-12, alpha 2.070, combined = 3.681e-13 rroots = 2
- Wed Dec 7 16:29:49 2022
- Wed Dec 7 16:29:49 2022 commencing linear algebra
- Wed Dec 7 16:29:50 2022 read 7874677 cycles
- Wed Dec 7 16:30:08 2022 cycles contain 27845912 unique relations
- Wed Dec 7 16:32:55 2022 read 27845912 relations
- Wed Dec 7 16:33:42 2022 using 20 quadratic characters above 4294917295
- Wed Dec 7 16:35:51 2022 building initial matrix
- Wed Dec 7 16:40:41 2022 memory use: 3412.8 MB
- Wed Dec 7 16:40:45 2022 read 7874677 cycles
- Wed Dec 7 16:40:46 2022 matrix is 7874492 x 7874677 (3387.0 MB) with weight 962783200 (122.26/col)
- Wed Dec 7 16:40:46 2022 sparse part has weight 801260889 (101.75/col)
- Wed Dec 7 16:42:55 2022 filtering completed in 2 passes
- Wed Dec 7 16:42:57 2022 matrix is 7872558 x 7872741 (3386.8 MB) with weight 962701396 (122.28/col)
- Wed Dec 7 16:42:57 2022 sparse part has weight 801219684 (101.77/col)
- Wed Dec 7 16:43:19 2022 matrix starts at (0, 0)
- Wed Dec 7 16:43:20 2022 matrix is 7872558 x 7872741 (3386.8 MB) with weight 962701396 (122.28/col)
- Wed Dec 7 16:43:20 2022 sparse part has weight 801219684 (101.77/col)
- Wed Dec 7 16:43:20 2022 saving the first 112 matrix rows for later
- Wed Dec 7 16:43:22 2022 matrix includes 128 packed rows
- Wed Dec 7 16:43:24 2022 matrix is 7872446 x 7872741 (3146.4 MB) with weight 771229640 (97.96/col)
- Wed Dec 7 16:43:24 2022 sparse part has weight 730337318 (92.77/col)
- Wed Dec 7 16:43:24 2022 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
- Wed Dec 7 16:43:50 2022 commencing Lanczos iteration (10 threads)
- Wed Dec 7 16:43:50 2022 memory use: 3516.6 MB
- Wed Dec 7 16:44:18 2022 linear algebra at 0.0%, ETA 35h46m
- Wed Dec 7 16:44:25 2022 checkpointing every 230000 dimensions
- Thu Dec 8 21:52:07 2022 lanczos halted after 61876 iterations (dim = 7872441)
- Thu Dec 8 21:52:24 2022 recovered 39 nontrivial dependencies
- Thu Dec 8 21:52:24 2022 BLanczosTime: 105755
- Thu Dec 8 21:52:24 2022
- Thu Dec 8 21:52:24 2022 commencing square root phase
- Thu Dec 8 21:52:24 2022 reading relations for dependency 1
- Thu Dec 8 21:52:25 2022 read 3937020 cycles
- Thu Dec 8 21:52:33 2022 cycles contain 13922550 unique relations
- Thu Dec 8 21:54:19 2022 read 13922550 relations
- Thu Dec 8 21:55:30 2022 multiplying 13922550 relations
- Thu Dec 8 22:06:06 2022 multiply complete, coefficients have about 382.38 million bits
- Thu Dec 8 22:06:08 2022 initial square root is modulo 7264513
- Thu Dec 8 22:18:08 2022 sqrtTime: 1544
- Thu Dec 8 22:18:08 2022 p74 factor: 35899689322877569917787206182909111156849887267577777445170356639697575301
- Thu Dec 8 22:18:08 2022 p102 factor: 451052738496664085322724204528226738548968110198744481608042911758011827048196758958003947631780842541
- Thu Dec 8 22:18:08 2022 elapsed time 29:48:19
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