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- Wed May 4 13:15:55 2016
- Wed May 4 13:15:55 2016 Msieve v. 1.53 (SVN Unversioned directory)
- Wed May 4 13:15:55 2016 random seeds: 50cc89fa e561c5fd
- Wed May 4 13:15:55 2016 factoring 4740326206228487997723660245642193171462197680315159002978133822867177648300030569113904533440079274398263135531592470085972307834283964650152527404940882992883981697493578178700164583463108687327614030879374172453 (214 digits)
- Wed May 4 13:15:56 2016 searching for 15-digit factors
- Wed May 4 13:15:58 2016 commencing number field sieve (214-digit input)
- Wed May 4 13:15:58 2016 R0: 452592555681759518058893560348969204658401
- Wed May 4 13:15:58 2016 R1: -9094947017729282379150390625
- Wed May 4 13:15:58 2016 A0: 11
- Wed May 4 13:15:58 2016 A1: 0
- Wed May 4 13:15:58 2016 A2: 0
- Wed May 4 13:15:58 2016 A3: 0
- Wed May 4 13:15:58 2016 A4: 0
- Wed May 4 13:15:58 2016 A5: 0
- Wed May 4 13:15:58 2016 A6: 5
- Wed May 4 13:15:58 2016 skew 1.14, size 2.389e-12, alpha 0.632, combined = 2.229e-13 rroots = 0
- Wed May 4 13:15:58 2016
- Wed May 4 13:15:58 2016 commencing relation filtering
- Wed May 4 13:15:58 2016 setting target matrix density to 116.0
- Wed May 4 13:15:58 2016 estimated available RAM is 16039.4 MB
- Wed May 4 13:15:58 2016 commencing duplicate removal, pass 1
- Wed May 4 13:19:59 2016 error -5 reading relation 29901024
- Wed May 4 13:21:27 2016 error -9 reading relation 41279262
- Wed May 4 13:23:54 2016 error -15 reading relation 59956049
- Wed May 4 13:27:08 2016 error -1 reading relation 84228717
- Wed May 4 13:30:20 2016 error -9 reading relation 106761380
- Wed May 4 13:31:36 2016 error -9 reading relation 116295355
- Wed May 4 13:32:11 2016 error -9 reading relation 120434059
- Wed May 4 13:35:51 2016 error -5 reading relation 148470617
- Wed May 4 13:36:51 2016 error -1 reading relation 155378638
- Wed May 4 13:37:49 2016 error -15 reading relation 162278909
- Wed May 4 13:38:20 2016 error -9 reading relation 165769150
- Wed May 4 13:39:10 2016 error -1 reading relation 171598443
- Wed May 4 13:39:26 2016 error -15 reading relation 173335854
- Wed May 4 13:39:28 2016 error -9 reading relation 173568228
- Wed May 4 13:39:33 2016 error -15 reading relation 174159153
- Wed May 4 13:39:50 2016 error -1 reading relation 175932440
- Wed May 4 13:39:50 2016 error -15 reading relation 175945043
- Wed May 4 13:39:56 2016 error -15 reading relation 176636677
- Wed May 4 13:39:57 2016 error -1 reading relation 176650039
- Wed May 4 13:40:08 2016 error -9 reading relation 177930697
- Wed May 4 13:40:21 2016 error -9 reading relation 179489435
- Wed May 4 13:40:21 2016 error -5 reading relation 179499984
- Wed May 4 13:40:21 2016 error -9 reading relation 179501860
- Wed May 4 13:40:36 2016 error -9 reading relation 181071470
- Wed May 4 13:40:37 2016 error -15 reading relation 181194481
- Wed May 4 13:40:38 2016 error -9 reading relation 181276906
- Wed May 4 13:40:39 2016 error -1 reading relation 181418209
- Wed May 4 13:41:02 2016 error -15 reading relation 183495910
- Wed May 4 13:41:06 2016 error -15 reading relation 183907510
- Wed May 4 13:41:14 2016 error -15 reading relation 184499384
- Wed May 4 13:41:17 2016 error -15 reading relation 184737527
- Wed May 4 13:41:23 2016 error -9 reading relation 185341131
- Wed May 4 13:41:24 2016 error -9 reading relation 185514802
- Wed May 4 13:41:31 2016 error -1 reading relation 186253962
- Wed May 4 13:41:31 2016 error -15 reading relation 186258597
- Wed May 4 13:41:41 2016 error -1 reading relation 187276500
- Wed May 4 13:42:28 2016 error -9 reading relation 192486927
- Wed May 4 13:42:30 2016 error -9 reading relation 192683667
- Wed May 4 13:42:30 2016 error -9 reading relation 192720480
- Wed May 4 13:43:16 2016 error -1 reading relation 197633612
- Wed May 4 13:43:16 2016 error -1 reading relation 197633650
- Wed May 4 13:43:36 2016 error -5 reading relation 199667524
- Wed May 4 13:43:58 2016 error -15 reading relation 201648132
- Wed May 4 13:43:58 2016 error -9 reading relation 201648533
- Wed May 4 13:43:58 2016 error -5 reading relation 201713619
- Wed May 4 13:44:02 2016 error -9 reading relation 202001720
- Wed May 4 13:44:43 2016 error -15 reading relation 206282464
- Wed May 4 13:44:46 2016 error -9 reading relation 206529384
- Wed May 4 13:44:49 2016 error -15 reading relation 206786568
- Wed May 4 13:44:55 2016 error -15 reading relation 207372829
- Wed May 4 13:44:55 2016 error -9 reading relation 207395701
- Wed May 4 13:44:57 2016 error -9 reading relation 207672323
- Wed May 4 13:45:00 2016 error -9 reading relation 207895442
- Wed May 4 13:45:00 2016 error -9 reading relation 207915014
- Wed May 4 13:45:17 2016 error -9 reading relation 209521591
- Wed May 4 13:45:27 2016 error -5 reading relation 210386122
- Wed May 4 13:45:36 2016 error -9 reading relation 210966493
- Wed May 4 13:45:43 2016 error -15 reading relation 211730848
- Wed May 4 13:45:50 2016 error -15 reading relation 212278828
- Wed May 4 13:46:13 2016 error -9 reading relation 214221529
- Wed May 4 13:46:14 2016 error -9 reading relation 214270808
- Wed May 4 13:46:14 2016 error -9 reading relation 214287166
- Wed May 4 13:46:14 2016 error -9 reading relation 214308560
- Wed May 4 13:46:14 2016 error -9 reading relation 214316169
- Wed May 4 13:46:14 2016 error -9 reading relation 214325093
- Wed May 4 13:46:16 2016 error -9 reading relation 214397367
- Wed May 4 13:46:22 2016 error -1 reading relation 215026865
- Wed May 4 13:46:22 2016 error -9 reading relation 215031101
- Wed May 4 13:47:02 2016 error -5 reading relation 219473116
- Wed May 4 13:47:04 2016 error -9 reading relation 219611707
- Wed May 4 13:47:04 2016 error -15 reading relation 219619931
- Wed May 4 13:47:04 2016 error -9 reading relation 219627039
- Wed May 4 13:47:14 2016 error -9 reading relation 220552851
- Wed May 4 13:47:42 2016 skipped 56 relations with b > 2^32
- Wed May 4 13:47:42 2016 skipped 41 relations with composite factors
- Wed May 4 13:47:42 2016 found 46836043 hash collisions in 222450963 relations
- Wed May 4 13:47:53 2016 commencing duplicate removal, pass 2
- Wed May 4 13:50:11 2016 found 47920682 duplicates and 174530281 unique relations
- Wed May 4 13:50:11 2016 memory use: 1321.5 MB
- Wed May 4 13:50:11 2016 reading ideals above 193134592
- Wed May 4 13:50:11 2016 commencing singleton removal, initial pass
- Wed May 4 14:10:43 2016 memory use: 3012.0 MB
- Wed May 4 14:10:43 2016 reading all ideals from disk
- Wed May 4 14:10:58 2016 memory use: 2826.7 MB
- Wed May 4 14:11:04 2016 commencing in-memory singleton removal
- Wed May 4 14:11:10 2016 begin with 174530281 relations and 149686324 unique ideals
- Wed May 4 14:12:13 2016 reduce to 100217359 relations and 66430591 ideals in 15 passes
- Wed May 4 14:12:13 2016 max relations containing the same ideal: 33
- Wed May 4 14:12:18 2016 reading ideals above 720000
- Wed May 4 14:12:18 2016 commencing singleton removal, initial pass
- Wed May 4 14:28:22 2016 memory use: 2756.0 MB
- Wed May 4 14:28:22 2016 reading all ideals from disk
- Wed May 4 14:28:44 2016 memory use: 3955.7 MB
- Wed May 4 14:28:54 2016 keeping 87346530 ideals with weight <= 200, target excess is 513805
- Wed May 4 14:29:06 2016 commencing in-memory singleton removal
- Wed May 4 14:29:14 2016 begin with 100217359 relations and 87346530 unique ideals
- Wed May 4 14:30:54 2016 reduce to 100129958 relations and 87259033 ideals in 11 passes
- Wed May 4 14:30:54 2016 max relations containing the same ideal: 200
- Wed May 4 14:31:46 2016 removing 12034686 relations and 10034686 ideals in 2000000 cliques
- Wed May 4 14:31:50 2016 commencing in-memory singleton removal
- Wed May 4 14:31:58 2016 begin with 88095272 relations and 87259033 unique ideals
- Wed May 4 14:33:08 2016 reduce to 87037120 relations and 76139360 ideals in 9 passes
- Wed May 4 14:33:08 2016 max relations containing the same ideal: 192
- Wed May 4 14:33:53 2016 removing 9105812 relations and 7105812 ideals in 2000000 cliques
- Wed May 4 14:33:56 2016 commencing in-memory singleton removal
- Wed May 4 14:34:02 2016 begin with 77931308 relations and 76139360 unique ideals
- Wed May 4 14:34:52 2016 reduce to 77219498 relations and 68305444 ideals in 8 passes
- Wed May 4 14:34:52 2016 max relations containing the same ideal: 179
- Wed May 4 14:35:28 2016 removing 8215256 relations and 6215256 ideals in 2000000 cliques
- Wed May 4 14:35:31 2016 commencing in-memory singleton removal
- Wed May 4 14:35:36 2016 begin with 69004242 relations and 68305444 unique ideals
- Wed May 4 14:36:21 2016 reduce to 68359665 relations and 61430472 ideals in 8 passes
- Wed May 4 14:36:21 2016 max relations containing the same ideal: 163
- Wed May 4 14:36:53 2016 removing 7753621 relations and 5753621 ideals in 2000000 cliques
- Wed May 4 14:36:56 2016 commencing in-memory singleton removal
- Wed May 4 14:37:01 2016 begin with 60606044 relations and 61430472 unique ideals
- Wed May 4 14:37:39 2016 reduce to 59971908 relations and 55026398 ideals in 8 passes
- Wed May 4 14:37:39 2016 max relations containing the same ideal: 151
- Wed May 4 14:38:08 2016 removing 7470912 relations and 5470912 ideals in 2000000 cliques
- Wed May 4 14:38:10 2016 commencing in-memory singleton removal
- Wed May 4 14:38:14 2016 begin with 52500996 relations and 55026398 unique ideals
- Wed May 4 14:38:46 2016 reduce to 51842651 relations and 48877992 ideals in 8 passes
- Wed May 4 14:38:46 2016 max relations containing the same ideal: 138
- Wed May 4 14:39:11 2016 removing 7288027 relations and 5288027 ideals in 2000000 cliques
- Wed May 4 14:39:14 2016 commencing in-memory singleton removal
- Wed May 4 14:39:17 2016 begin with 44554624 relations and 48877992 unique ideals
- Wed May 4 14:39:47 2016 reduce to 43825863 relations and 42836949 ideals in 9 passes
- Wed May 4 14:39:47 2016 max relations containing the same ideal: 121
- Wed May 4 14:40:08 2016 removing 1970739 relations and 1577839 ideals in 392900 cliques
- Wed May 4 14:40:09 2016 commencing in-memory singleton removal
- Wed May 4 14:40:12 2016 begin with 41855124 relations and 42836949 unique ideals
- Wed May 4 14:40:34 2016 reduce to 41797643 relations and 41201200 ideals in 7 passes
- Wed May 4 14:40:34 2016 max relations containing the same ideal: 117
- Wed May 4 14:41:02 2016 relations with 0 large ideals: 19660
- Wed May 4 14:41:02 2016 relations with 1 large ideals: 4342
- Wed May 4 14:41:02 2016 relations with 2 large ideals: 65231
- Wed May 4 14:41:02 2016 relations with 3 large ideals: 524742
- Wed May 4 14:41:02 2016 relations with 4 large ideals: 2305283
- Wed May 4 14:41:02 2016 relations with 5 large ideals: 6111298
- Wed May 4 14:41:02 2016 relations with 6 large ideals: 10194337
- Wed May 4 14:41:02 2016 relations with 7+ large ideals: 22572750
- Wed May 4 14:41:02 2016 commencing 2-way merge
- Wed May 4 14:41:27 2016 reduce to 27395723 relation sets and 26799280 unique ideals
- Wed May 4 14:41:27 2016 commencing full merge
- Wed May 4 14:51:39 2016 memory use: 3531.6 MB
- Wed May 4 14:51:42 2016 found 12454075 cycles, need 12437480
- Wed May 4 14:51:46 2016 weight of 12437480 cycles is about 1443183198 (116.04/cycle)
- Wed May 4 14:51:46 2016 distribution of cycle lengths:
- Wed May 4 14:51:46 2016 1 relations: 577981
- Wed May 4 14:51:46 2016 2 relations: 808364
- Wed May 4 14:51:46 2016 3 relations: 932263
- Wed May 4 14:51:46 2016 4 relations: 954485
- Wed May 4 14:51:46 2016 5 relations: 961037
- Wed May 4 14:51:46 2016 6 relations: 930903
- Wed May 4 14:51:46 2016 7 relations: 895570
- Wed May 4 14:51:46 2016 8 relations: 845061
- Wed May 4 14:51:46 2016 9 relations: 787014
- Wed May 4 14:51:46 2016 10+ relations: 4744802
- Wed May 4 14:51:46 2016 heaviest cycle: 28 relations
- Wed May 4 14:51:49 2016 commencing cycle optimization
- Wed May 4 14:52:11 2016 start with 107396011 relations
- Wed May 4 14:55:59 2016 pruned 4622851 relations
- Wed May 4 14:55:59 2016 memory use: 2850.4 MB
- Wed May 4 14:55:59 2016 distribution of cycle lengths:
- Wed May 4 14:55:59 2016 1 relations: 577981
- Wed May 4 14:55:59 2016 2 relations: 828428
- Wed May 4 14:55:59 2016 3 relations: 971761
- Wed May 4 14:55:59 2016 4 relations: 993129
- Wed May 4 14:55:59 2016 5 relations: 1007215
- Wed May 4 14:55:59 2016 6 relations: 970211
- Wed May 4 14:55:59 2016 7 relations: 937233
- Wed May 4 14:55:59 2016 8 relations: 878821
- Wed May 4 14:55:59 2016 9 relations: 816924
- Wed May 4 14:55:59 2016 10+ relations: 4455777
- Wed May 4 14:55:59 2016 heaviest cycle: 28 relations
- Wed May 4 14:56:22 2016 RelProcTime: 6024
- Wed May 4 14:56:22 2016
- Wed May 4 14:56:22 2016 commencing linear algebra
- Wed May 4 14:56:28 2016 read 12437480 cycles
- Wed May 4 14:56:55 2016 cycles contain 41466732 unique relations
- Wed May 4 15:01:33 2016 read 41466732 relations
- Wed May 4 15:02:39 2016 using 20 quadratic characters above 4294917295
- Wed May 4 15:05:24 2016 building initial matrix
- Wed May 4 15:12:41 2016 memory use: 5303.1 MB
- Wed May 4 15:12:46 2016 read 12437480 cycles
- Wed May 4 15:12:48 2016 matrix is 12437303 x 12437480 (5680.5 MB) with weight 1633344548 (131.32/col)
- Wed May 4 15:12:48 2016 sparse part has weight 1352293231 (108.73/col)
- Wed May 4 15:15:03 2016 filtering completed in 2 passes
- Wed May 4 15:15:06 2016 matrix is 12437205 x 12437382 (5680.5 MB) with weight 1633341525 (131.33/col)
- Wed May 4 15:15:06 2016 sparse part has weight 1352292391 (108.73/col)
- Wed May 4 15:15:48 2016 matrix starts at (0, 0)
- Wed May 4 15:15:50 2016 matrix is 12437205 x 12437382 (5680.5 MB) with weight 1633341525 (131.33/col)
- Wed May 4 15:15:50 2016 sparse part has weight 1352292391 (108.73/col)
- Wed May 4 15:15:50 2016 saving the first 48 matrix rows for later
- Wed May 4 15:15:51 2016 matrix includes 64 packed rows
- Wed May 4 15:15:53 2016 matrix is 12437157 x 12437382 (5467.8 MB) with weight 1399701709 (112.54/col)
- Wed May 4 15:15:53 2016 sparse part has weight 1308972974 (105.25/col)
- Wed May 4 15:15:53 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Wed May 4 15:16:43 2016 commencing Lanczos iteration (4 threads)
- Wed May 4 15:16:43 2016 memory use: 4642.9 MB
- Wed May 4 15:17:47 2016 linear algebra at 0.0%, ETA 138h54m
- Wed May 4 15:18:08 2016 checkpointing every 90000 dimensions
- Tue May 10 07:53:06 2016 lanczos halted after 196686 iterations (dim = 12437151)
- Tue May 10 07:53:19 2016 recovered 32 nontrivial dependencies
- Tue May 10 07:53:19 2016 BLanczosTime: 493017
- Tue May 10 07:53:19 2016
- Tue May 10 07:53:19 2016 commencing square root phase
- Tue May 10 07:53:19 2016 handling dependencies 1 to 64
- Tue May 10 07:53:19 2016 reading relations for dependency 1
- Tue May 10 07:53:21 2016 read 6219447 cycles
- Tue May 10 07:53:32 2016 cycles contain 20732246 unique relations
- Tue May 10 07:55:57 2016 read 20732246 relations
- Tue May 10 07:57:12 2016 multiplying 20732246 relations
- Tue May 10 08:10:38 2016 multiply complete, coefficients have about 570.62 million bits
- Tue May 10 08:10:39 2016 initial square root is modulo 131707
- Tue May 10 08:25:21 2016 sqrtTime: 1922
- Tue May 10 08:25:21 2016 p106 factor: 1485346558351000644953714201746717757442110162276128861920820164807404581714683882268922594978715352209313
- Tue May 10 08:25:21 2016 p109 factor: 3191394075394159037031173446010090441583989337304687562136172529864291284220363006437077550614827787156523781
- Tue May 10 08:25:21 2016 elapsed time 139:09:26
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