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- Fri Feb 22 21:30:26 2019
- Fri Feb 22 21:30:26 2019
- Fri Feb 22 21:30:26 2019 Msieve v. 1.53 (SVN 988M)
- Fri Feb 22 21:30:26 2019 random seeds: 7706ce51 33e6ac9e
- Fri Feb 22 21:30:26 2019 factoring 8882688529933355700857129313772796169564778072367147885069067530314773440854804831492991986449328868187749554737549983300060706604308204902210819264476593991578342219839893202692411759247697397654288390358536891749910395821511748361551 (235 digits)
- Fri Feb 22 21:30:27 2019 searching for 15-digit factors
- Fri Feb 22 21:30:30 2019 commencing number field sieve (235-digit input)
- Fri Feb 22 21:30:30 2019 R0: -21778071482940061661655974875633165533184
- Fri Feb 22 21:30:30 2019 R1: 92709463147897837085761925410587
- Fri Feb 22 21:30:30 2019 A0: 4
- Fri Feb 22 21:30:30 2019 A1: 0
- Fri Feb 22 21:30:30 2019 A2: 0
- Fri Feb 22 21:30:30 2019 A3: -6
- Fri Feb 22 21:30:30 2019 A4: 0
- Fri Feb 22 21:30:30 2019 A5: 0
- Fri Feb 22 21:30:30 2019 A6: 3
- Fri Feb 22 21:30:30 2019 skew 1.05, size 6.509e-12, alpha 1.048, combined = 4.631e-13 rroots = 0
- Fri Feb 22 21:30:30 2019
- Fri Feb 22 21:30:30 2019 commencing relation filtering
- Fri Feb 22 21:30:30 2019 setting target matrix density to 130.0
- Fri Feb 22 21:30:30 2019 estimated available RAM is 65536.0 MB
- Fri Feb 22 21:30:30 2019 commencing duplicate removal, pass 1
- Fri Feb 22 21:36:51 2019 error -15 reading relation 48155517
- Fri Feb 22 21:49:36 2019 error -1 reading relation 150156728
- Fri Feb 22 21:51:13 2019 error -6 reading relation 163007317
- Fri Feb 22 21:52:25 2019 error -15 reading relation 172549412
- Fri Feb 22 21:54:10 2019 error -1 reading relation 186484935
- Fri Feb 22 21:54:41 2019 error -1 reading relation 190541556
- Fri Feb 22 21:55:07 2019 error -1 reading relation 193967753
- Fri Feb 22 21:57:14 2019 skipped 38 relations with b > 2^32
- Fri Feb 22 21:57:14 2019 skipped 3 relations with composite factors
- Fri Feb 22 21:57:14 2019 found 9714753 hash collisions in 210876224 relations
- Fri Feb 22 21:57:27 2019 added 812988 free relations
- Fri Feb 22 21:57:27 2019 commencing duplicate removal, pass 2
- Fri Feb 22 21:58:22 2019 found 0 duplicates and 211689212 unique relations
- Fri Feb 22 21:58:23 2019 memory use: 522.4 MB
- Fri Feb 22 21:58:23 2019 reading ideals above 720000
- Fri Feb 22 21:58:23 2019 commencing singleton removal, initial pass
- Fri Feb 22 22:23:33 2019 memory use: 5512.0 MB
- Fri Feb 22 22:23:33 2019 reading all ideals from disk
- Fri Feb 22 22:23:38 2019 memory use: 8237.3 MB
- Fri Feb 22 22:24:02 2019 keeping 178151558 ideals with weight <= 200, target excess is 1070056
- Fri Feb 22 22:24:30 2019 commencing in-memory singleton removal
- Fri Feb 22 22:24:49 2019 begin with 211689212 relations and 178151558 unique ideals
- Fri Feb 22 22:27:36 2019 reduce to 149383176 relations and 110371295 ideals in 11 passes
- Fri Feb 22 22:27:37 2019 max relations containing the same ideal: 169
- Fri Feb 22 22:28:44 2019 removing 9690470 relations and 7690470 ideals in 2000000 cliques
- Fri Feb 22 22:28:48 2019 commencing in-memory singleton removal
- Fri Feb 22 22:29:01 2019 begin with 139692706 relations and 110371295 unique ideals
- Fri Feb 22 22:30:46 2019 reduce to 139222749 relations and 102202892 ideals in 8 passes
- Fri Feb 22 22:30:48 2019 max relations containing the same ideal: 162
- Fri Feb 22 22:31:50 2019 removing 7405627 relations and 5405627 ideals in 2000000 cliques
- Fri Feb 22 22:31:55 2019 commencing in-memory singleton removal
- Fri Feb 22 22:32:07 2019 begin with 131817122 relations and 102202892 unique ideals
- Fri Feb 22 22:33:21 2019 reduce to 131500413 relations and 96475867 ideals in 6 passes
- Fri Feb 22 22:33:23 2019 max relations containing the same ideal: 158
- Fri Feb 22 22:34:21 2019 removing 6754943 relations and 4754943 ideals in 2000000 cliques
- Fri Feb 22 22:34:26 2019 commencing in-memory singleton removal
- Fri Feb 22 22:34:37 2019 begin with 124745470 relations and 96475867 unique ideals
- Fri Feb 22 22:35:59 2019 reduce to 124471036 relations and 91442424 ideals in 7 passes
- Fri Feb 22 22:36:00 2019 max relations containing the same ideal: 151
- Fri Feb 22 22:36:56 2019 removing 6417220 relations and 4417220 ideals in 2000000 cliques
- Fri Feb 22 22:37:01 2019 commencing in-memory singleton removal
- Fri Feb 22 22:37:11 2019 begin with 118053816 relations and 91442424 unique ideals
- Fri Feb 22 22:38:17 2019 reduce to 117802299 relations and 86769824 ideals in 6 passes
- Fri Feb 22 22:38:17 2019 max relations containing the same ideal: 145
- Fri Feb 22 22:39:09 2019 removing 6199544 relations and 4199544 ideals in 2000000 cliques
- Fri Feb 22 22:39:12 2019 commencing in-memory singleton removal
- Fri Feb 22 22:39:22 2019 begin with 111602755 relations and 86769824 unique ideals
- Fri Feb 22 22:40:24 2019 reduce to 111361475 relations and 82325292 ideals in 6 passes
- Fri Feb 22 22:40:25 2019 max relations containing the same ideal: 141
- Fri Feb 22 22:41:15 2019 removing 6044170 relations and 4044170 ideals in 2000000 cliques
- Fri Feb 22 22:41:18 2019 commencing in-memory singleton removal
- Fri Feb 22 22:41:27 2019 begin with 105317305 relations and 82325292 unique ideals
- Fri Feb 22 22:42:25 2019 reduce to 105083461 relations and 78043431 ideals in 6 passes
- Fri Feb 22 22:42:27 2019 max relations containing the same ideal: 135
- Fri Feb 22 22:43:14 2019 removing 5935107 relations and 3935107 ideals in 2000000 cliques
- Fri Feb 22 22:43:17 2019 commencing in-memory singleton removal
- Fri Feb 22 22:43:25 2019 begin with 99148354 relations and 78043431 unique ideals
- Fri Feb 22 22:44:20 2019 reduce to 98917359 relations and 73873276 ideals in 6 passes
- Fri Feb 22 22:44:21 2019 max relations containing the same ideal: 128
- Fri Feb 22 22:45:05 2019 removing 5849749 relations and 3849749 ideals in 2000000 cliques
- Fri Feb 22 22:45:07 2019 commencing in-memory singleton removal
- Fri Feb 22 22:45:15 2019 begin with 93067610 relations and 73873276 unique ideals
- Fri Feb 22 22:46:06 2019 reduce to 92834947 relations and 69786522 ideals in 6 passes
- Fri Feb 22 22:46:06 2019 max relations containing the same ideal: 124
- Fri Feb 22 22:46:48 2019 removing 5780912 relations and 3780912 ideals in 2000000 cliques
- Fri Feb 22 22:46:52 2019 commencing in-memory singleton removal
- Fri Feb 22 22:46:59 2019 begin with 87054035 relations and 69786522 unique ideals
- Fri Feb 22 22:47:47 2019 reduce to 86817685 relations and 65764678 ideals in 6 passes
- Fri Feb 22 22:47:47 2019 max relations containing the same ideal: 119
- Fri Feb 22 22:48:26 2019 removing 5728324 relations and 3728324 ideals in 2000000 cliques
- Fri Feb 22 22:48:28 2019 commencing in-memory singleton removal
- Fri Feb 22 22:48:35 2019 begin with 81089361 relations and 65764678 unique ideals
- Fri Feb 22 22:49:19 2019 reduce to 80847755 relations and 61789687 ideals in 6 passes
- Fri Feb 22 22:49:20 2019 max relations containing the same ideal: 114
- Fri Feb 22 22:49:56 2019 removing 5688876 relations and 3688876 ideals in 2000000 cliques
- Fri Feb 22 22:49:59 2019 commencing in-memory singleton removal
- Fri Feb 22 22:50:05 2019 begin with 75158879 relations and 61789687 unique ideals
- Fri Feb 22 22:50:51 2019 reduce to 74906538 relations and 57842902 ideals in 7 passes
- Fri Feb 22 22:50:53 2019 max relations containing the same ideal: 106
- Fri Feb 22 22:51:26 2019 removing 5661523 relations and 3661523 ideals in 2000000 cliques
- Fri Feb 22 22:51:29 2019 commencing in-memory singleton removal
- Fri Feb 22 22:51:34 2019 begin with 69245015 relations and 57842902 unique ideals
- Fri Feb 22 22:52:11 2019 reduce to 68982208 relations and 53912309 ideals in 6 passes
- Fri Feb 22 22:52:11 2019 max relations containing the same ideal: 99
- Fri Feb 22 22:52:41 2019 removing 5640922 relations and 3640922 ideals in 2000000 cliques
- Fri Feb 22 22:52:44 2019 commencing in-memory singleton removal
- Fri Feb 22 22:52:49 2019 begin with 63341286 relations and 53912309 unique ideals
- Fri Feb 22 22:53:22 2019 reduce to 63063947 relations and 49986990 ideals in 6 passes
- Fri Feb 22 22:53:22 2019 max relations containing the same ideal: 95
- Fri Feb 22 22:53:50 2019 removing 5626360 relations and 3626360 ideals in 2000000 cliques
- Fri Feb 22 22:53:52 2019 commencing in-memory singleton removal
- Fri Feb 22 22:53:57 2019 begin with 57437587 relations and 49986990 unique ideals
- Fri Feb 22 22:54:26 2019 reduce to 57140690 relations and 46055596 ideals in 6 passes
- Fri Feb 22 22:54:26 2019 max relations containing the same ideal: 88
- Fri Feb 22 22:54:52 2019 removing 5621961 relations and 3621961 ideals in 2000000 cliques
- Fri Feb 22 22:54:54 2019 commencing in-memory singleton removal
- Fri Feb 22 22:54:58 2019 begin with 51518729 relations and 46055596 unique ideals
- Fri Feb 22 22:55:24 2019 reduce to 51196413 relations and 42101566 ideals in 6 passes
- Fri Feb 22 22:55:24 2019 max relations containing the same ideal: 81
- Fri Feb 22 22:55:46 2019 removing 5625569 relations and 3625569 ideals in 2000000 cliques
- Fri Feb 22 22:55:48 2019 commencing in-memory singleton removal
- Fri Feb 22 22:55:52 2019 begin with 45570844 relations and 42101566 unique ideals
- Fri Feb 22 22:56:15 2019 reduce to 45215547 relations and 38108828 ideals in 6 passes
- Fri Feb 22 22:56:15 2019 max relations containing the same ideal: 75
- Fri Feb 22 22:56:35 2019 removing 5636007 relations and 3636007 ideals in 2000000 cliques
- Fri Feb 22 22:56:37 2019 commencing in-memory singleton removal
- Fri Feb 22 22:56:40 2019 begin with 39579540 relations and 38108828 unique ideals
- Fri Feb 22 22:57:02 2019 reduce to 39174012 relations and 34052364 ideals in 7 passes
- Fri Feb 22 22:57:02 2019 max relations containing the same ideal: 69
- Fri Feb 22 22:57:20 2019 removing 5663773 relations and 3663773 ideals in 2000000 cliques
- Fri Feb 22 22:57:21 2019 commencing in-memory singleton removal
- Fri Feb 22 22:57:24 2019 begin with 33510239 relations and 34052364 unique ideals
- Fri Feb 22 22:57:45 2019 reduce to 33028008 relations and 29885755 ideals in 8 passes
- Fri Feb 22 22:57:45 2019 max relations containing the same ideal: 62
- Fri Feb 22 22:58:00 2019 removing 5473993 relations and 3573005 ideals in 1900988 cliques
- Fri Feb 22 22:58:02 2019 commencing in-memory singleton removal
- Fri Feb 22 22:58:04 2019 begin with 27554015 relations and 29885755 unique ideals
- Fri Feb 22 22:58:18 2019 reduce to 26979592 relations and 25710365 ideals in 7 passes
- Fri Feb 22 22:58:18 2019 max relations containing the same ideal: 54
- Fri Feb 22 22:58:30 2019 removing 162175 relations and 134213 ideals in 27962 cliques
- Fri Feb 22 22:58:31 2019 commencing in-memory singleton removal
- Fri Feb 22 22:58:32 2019 begin with 26817417 relations and 25710365 unique ideals
- Fri Feb 22 22:58:43 2019 reduce to 26816570 relations and 25575305 ideals in 5 passes
- Fri Feb 22 22:58:43 2019 max relations containing the same ideal: 54
- Fri Feb 22 22:58:47 2019 relations with 0 large ideals: 27337
- Fri Feb 22 22:58:47 2019 relations with 1 large ideals: 38419
- Fri Feb 22 22:58:47 2019 relations with 2 large ideals: 443562
- Fri Feb 22 22:58:47 2019 relations with 3 large ideals: 2087711
- Fri Feb 22 22:58:47 2019 relations with 4 large ideals: 5121600
- Fri Feb 22 22:58:47 2019 relations with 5 large ideals: 7316187
- Fri Feb 22 22:58:47 2019 relations with 6 large ideals: 6434911
- Fri Feb 22 22:58:47 2019 relations with 7+ large ideals: 5346843
- Fri Feb 22 22:58:47 2019 commencing 2-way merge
- Fri Feb 22 22:59:03 2019 reduce to 18200156 relation sets and 16958891 unique ideals
- Fri Feb 22 22:59:03 2019 commencing full merge
- Fri Feb 22 23:05:43 2019 memory use: 2118.4 MB
- Fri Feb 22 23:05:48 2019 found 7928138 cycles, need 7867091
- Fri Feb 22 23:05:48 2019 weight of 7867091 cycles is about 1023160338 (130.06/cycle)
- Fri Feb 22 23:05:48 2019 distribution of cycle lengths:
- Fri Feb 22 23:05:48 2019 1 relations: 196473
- Fri Feb 22 23:05:48 2019 2 relations: 362210
- Fri Feb 22 23:05:48 2019 3 relations: 465456
- Fri Feb 22 23:05:48 2019 4 relations: 515899
- Fri Feb 22 23:05:48 2019 5 relations: 556931
- Fri Feb 22 23:05:48 2019 6 relations: 573871
- Fri Feb 22 23:05:48 2019 7 relations: 576664
- Fri Feb 22 23:05:48 2019 8 relations: 561991
- Fri Feb 22 23:05:48 2019 9 relations: 535542
- Fri Feb 22 23:05:48 2019 10+ relations: 3522054
- Fri Feb 22 23:05:48 2019 heaviest cycle: 28 relations
- Fri Feb 22 23:05:51 2019 commencing cycle optimization
- Fri Feb 22 23:06:11 2019 start with 75484914 relations
- Fri Feb 22 23:09:50 2019 pruned 4205583 relations
- Fri Feb 22 23:09:51 2019 memory use: 1880.9 MB
- Fri Feb 22 23:09:52 2019 distribution of cycle lengths:
- Fri Feb 22 23:09:52 2019 1 relations: 196473
- Fri Feb 22 23:09:52 2019 2 relations: 372915
- Fri Feb 22 23:09:52 2019 3 relations: 488377
- Fri Feb 22 23:09:52 2019 4 relations: 542651
- Fri Feb 22 23:09:52 2019 5 relations: 592190
- Fri Feb 22 23:09:52 2019 6 relations: 610293
- Fri Feb 22 23:09:52 2019 7 relations: 618440
- Fri Feb 22 23:09:52 2019 8 relations: 598843
- Fri Feb 22 23:09:52 2019 9 relations: 570875
- Fri Feb 22 23:09:52 2019 10+ relations: 3276034
- Fri Feb 22 23:09:52 2019 heaviest cycle: 28 relations
- Fri Feb 22 23:10:15 2019 RelProcTime: 5985
- Fri Feb 22 23:10:15 2019
- Fri Feb 22 23:10:15 2019 commencing linear algebra
- Fri Feb 22 23:10:17 2019 read 7867091 cycles
- Fri Feb 22 23:10:36 2019 cycles contain 26237119 unique relations
- Fri Feb 22 23:12:56 2019 read 26237119 relations
- Fri Feb 22 23:13:51 2019 using 20 quadratic characters above 4294917295
- Fri Feb 22 23:15:38 2019 building initial matrix
- Fri Feb 22 23:21:08 2019 memory use: 3435.0 MB
- Fri Feb 22 23:21:16 2019 read 7867091 cycles
- Fri Feb 22 23:21:17 2019 matrix is 7866914 x 7867091 (3921.5 MB) with weight 1131117933 (143.78/col)
- Fri Feb 22 23:21:17 2019 sparse part has weight 941466465 (119.67/col)
- Fri Feb 22 23:23:15 2019 filtering completed in 2 passes
- Fri Feb 22 23:23:16 2019 matrix is 7866710 x 7866887 (3921.5 MB) with weight 1131108810 (143.78/col)
- Fri Feb 22 23:23:16 2019 sparse part has weight 941462510 (119.67/col)
- Fri Feb 22 23:25:13 2019 matrix starts at (0, 0)
- Fri Feb 22 23:25:14 2019 matrix is 7866710 x 7866887 (3921.5 MB) with weight 1131108810 (143.78/col)
- Fri Feb 22 23:25:14 2019 sparse part has weight 941462510 (119.67/col)
- Fri Feb 22 23:25:14 2019 saving the first 48 matrix rows for later
- Fri Feb 22 23:25:16 2019 matrix includes 64 packed rows
- Fri Feb 22 23:25:16 2019 matrix is 7866662 x 7866887 (3765.5 MB) with weight 979143242 (124.46/col)
- Fri Feb 22 23:25:16 2019 sparse part has weight 908428979 (115.48/col)
- Fri Feb 22 23:25:16 2019 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
- Fri Feb 22 23:26:11 2019 commencing Lanczos iteration (8 threads)
- Fri Feb 22 23:26:11 2019 memory use: 3191.7 MB
- Fri Feb 22 23:26:29 2019 linear algebra at 0.0%, ETA 24h25m
- Fri Feb 22 23:26:35 2019 checkpointing every 320000 dimensions
- Sun Feb 24 00:02:00 2019 lanczos halted after 124407 iterations (dim = 7866660)
- Sun Feb 24 00:02:15 2019 recovered 37 nontrivial dependencies
- Sun Feb 24 00:02:18 2019 BLanczosTime: 89523
- Sun Feb 24 00:02:18 2019
- Sun Feb 24 00:02:18 2019 commencing square root phase
- Sun Feb 24 00:02:18 2019 handling dependencies 1 to 64
- Sun Feb 24 00:02:18 2019 reading relations for dependency 1
- Sun Feb 24 00:02:20 2019 read 3935925 cycles
- Sun Feb 24 00:02:28 2019 cycles contain 13121606 unique relations
- Sun Feb 24 00:03:48 2019 read 13121606 relations
- Sun Feb 24 00:04:46 2019 multiplying 13121606 relations
- Sun Feb 24 00:14:57 2019 multiply complete, coefficients have about 347.03 million bits
- Sun Feb 24 00:15:00 2019 initial square root is modulo 1685963
- Sun Feb 24 00:24:42 2019 sqrtTime: 1344
- Sun Feb 24 00:24:44 2019 p87 factor: 166833177815781592846875432648847487647510352468457538317729739166667013565001715784989
- Sun Feb 24 00:24:44 2019 p149 factor: 53242937922945308379696540969563711226435048579000932804375266134358496450950937189265769745379056949433179824463238079448994825732785639942431904859
- Sun Feb 24 00:24:44 2019 elapsed time 26:54:18
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