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- Sun May 13 13:30:11 2018
- Sun May 13 13:30:11 2018
- Sun May 13 13:30:11 2018 Msieve v. 1.54 (SVN 1018)
- Sun May 13 13:30:11 2018 random seeds: 54caae64 1fcd41af
- Sun May 13 13:30:11 2018 factoring 72270101295123041276527116761764521431866093655401688094185070904488657368112353206432603121819085513775533474290338989082239630948795628893810488787831844749091552085141199462195670487569508438298272445093903834781 (215 digits)
- Sun May 13 13:30:12 2018 searching for 15-digit factors
- Sun May 13 13:30:13 2018 commencing number field sieve (215-digit input)
- Sun May 13 13:30:13 2018 R0: 518489141839991966393425074886720757544645449474963309
- Sun May 13 13:30:13 2018 R1: -1
- Sun May 13 13:30:13 2018 A0: 1
- Sun May 13 13:30:13 2018 A1: 1
- Sun May 13 13:30:13 2018 A2: 1
- Sun May 13 13:30:13 2018 A3: 1
- Sun May 13 13:30:13 2018 A4: 1
- Sun May 13 13:30:13 2018 skew 1.00, size 6.685e-022, alpha 1.694, combined = 4.514e-013 rroots = 0
- Sun May 13 13:30:13 2018
- Sun May 13 13:30:13 2018 commencing relation filtering
- Sun May 13 13:30:13 2018 setting target matrix density to 120.0
- Sun May 13 13:30:13 2018 estimated available RAM is 32715.2 MB
- Sun May 13 13:30:13 2018 commencing duplicate removal, pass 1
- <errors reading relations>
- Sun May 13 14:13:00 2018 skipped 476 relations with b > 2^32
- Sun May 13 14:13:00 2018 skipped 17318 relations with composite factors
- Sun May 13 14:13:00 2018 found 57579187 hash collisions in 272633041 relations
- Sun May 13 14:13:11 2018 added 3657741 free relations
- Sun May 13 14:13:11 2018 commencing duplicate removal, pass 2
- Sun May 13 14:16:22 2018 found 59231439 duplicates and 217059343 unique relations
- Sun May 13 14:16:22 2018 memory use: 1449.5 MB
- Sun May 13 14:16:22 2018 reading ideals above 119996416
- Sun May 13 14:16:22 2018 commencing singleton removal, initial pass
- Sun May 13 14:42:43 2018 memory use: 3012.0 MB
- Sun May 13 14:42:44 2018 reading all ideals from disk
- Sun May 13 14:42:46 2018 memory use: 3944.1 MB
- Sun May 13 14:43:04 2018 commencing in-memory singleton removal
- Sun May 13 14:43:22 2018 begin with 217059343 relations and 162849363 unique ideals
- Sun May 13 14:45:56 2018 reduce to 160662396 relations and 102134055 ideals in 10 passes
- Sun May 13 14:45:56 2018 max relations containing the same ideal: 57
- Sun May 13 14:46:16 2018 reading ideals above 720000
- Sun May 13 14:46:16 2018 commencing singleton removal, initial pass
- Sun May 13 15:10:42 2018 memory use: 3012.0 MB
- Sun May 13 15:10:42 2018 reading all ideals from disk
- Sun May 13 15:10:46 2018 memory use: 6171.0 MB
- Sun May 13 15:11:13 2018 keeping 115023347 ideals with weight <= 200, target excess is 792268
- Sun May 13 15:11:41 2018 commencing in-memory singleton removal
- Sun May 13 15:12:03 2018 begin with 160662396 relations and 115023347 unique ideals
- Sun May 13 15:13:10 2018 reduce to 160662112 relations and 115023063 ideals in 3 passes
- Sun May 13 15:13:10 2018 max relations containing the same ideal: 200
- Sun May 13 15:14:48 2018 removing 8923089 relations and 6923089 ideals in 2000000 cliques
- Sun May 13 15:14:52 2018 commencing in-memory singleton removal
- Sun May 13 15:15:13 2018 begin with 151739023 relations and 115023063 unique ideals
- Sun May 13 15:17:46 2018 reduce to 151329068 relations and 107683202 ideals in 7 passes
- Sun May 13 15:17:46 2018 max relations containing the same ideal: 199
- Sun May 13 15:19:17 2018 removing 6911538 relations and 4911538 ideals in 2000000 cliques
- Sun May 13 15:19:21 2018 commencing in-memory singleton removal
- Sun May 13 15:19:40 2018 begin with 144417530 relations and 107683202 unique ideals
- Sun May 13 15:21:36 2018 reduce to 144143821 relations and 102493971 ideals in 6 passes
- Sun May 13 15:21:36 2018 max relations containing the same ideal: 197
- Sun May 13 15:22:58 2018 removing 6340515 relations and 4340515 ideals in 2000000 cliques
- Sun May 13 15:23:01 2018 commencing in-memory singleton removal
- Sun May 13 15:23:19 2018 begin with 137803306 relations and 102493971 unique ideals
- Sun May 13 15:25:09 2018 reduce to 137569625 relations and 97916519 ideals in 6 passes
- Sun May 13 15:25:09 2018 max relations containing the same ideal: 190
- Sun May 13 15:26:30 2018 removing 6044605 relations and 4044605 ideals in 2000000 cliques
- Sun May 13 15:26:34 2018 commencing in-memory singleton removal
- Sun May 13 15:26:50 2018 begin with 131525020 relations and 97916519 unique ideals
- Sun May 13 15:28:35 2018 reduce to 131311362 relations and 93655240 ideals in 6 passes
- Sun May 13 15:28:35 2018 max relations containing the same ideal: 186
- Sun May 13 15:29:53 2018 removing 5850713 relations and 3850713 ideals in 2000000 cliques
- Sun May 13 15:29:56 2018 commencing in-memory singleton removal
- Sun May 13 15:30:11 2018 begin with 125460649 relations and 93655240 unique ideals
- Sun May 13 15:31:48 2018 reduce to 125259774 relations and 89600661 ideals in 6 passes
- Sun May 13 15:31:48 2018 max relations containing the same ideal: 180
- Sun May 13 15:32:55 2018 removing 5714241 relations and 3714241 ideals in 2000000 cliques
- Sun May 13 15:32:58 2018 commencing in-memory singleton removal
- Sun May 13 15:33:12 2018 begin with 119545533 relations and 89600661 unique ideals
- Sun May 13 15:34:39 2018 reduce to 119350898 relations and 85688694 ideals in 6 passes
- Sun May 13 15:34:39 2018 max relations containing the same ideal: 178
- Sun May 13 15:35:45 2018 removing 5615351 relations and 3615351 ideals in 2000000 cliques
- Sun May 13 15:35:48 2018 commencing in-memory singleton removal
- Sun May 13 15:36:01 2018 begin with 113735547 relations and 85688694 unique ideals
- Sun May 13 15:37:40 2018 reduce to 113544199 relations and 81878909 ideals in 7 passes
- Sun May 13 15:37:40 2018 max relations containing the same ideal: 169
- Sun May 13 15:38:44 2018 removing 5534526 relations and 3534526 ideals in 2000000 cliques
- Sun May 13 15:38:47 2018 commencing in-memory singleton removal
- Sun May 13 15:38:59 2018 begin with 108009673 relations and 81878909 unique ideals
- Sun May 13 15:40:18 2018 reduce to 107818813 relations and 78150312 ideals in 6 passes
- Sun May 13 15:40:18 2018 max relations containing the same ideal: 163
- Sun May 13 15:41:18 2018 removing 5476770 relations and 3476770 ideals in 2000000 cliques
- Sun May 13 15:41:21 2018 commencing in-memory singleton removal
- Sun May 13 15:41:32 2018 begin with 102342043 relations and 78150312 unique ideals
- Sun May 13 15:42:45 2018 reduce to 102148558 relations and 74476607 ideals in 6 passes
- Sun May 13 15:42:45 2018 max relations containing the same ideal: 158
- Sun May 13 15:43:37 2018 removing 5429953 relations and 3429953 ideals in 2000000 cliques
- Sun May 13 15:43:39 2018 commencing in-memory singleton removal
- Sun May 13 15:43:49 2018 begin with 96718605 relations and 74476607 unique ideals
- Sun May 13 15:45:04 2018 reduce to 96520165 relations and 70844567 ideals in 7 passes
- Sun May 13 15:45:04 2018 max relations containing the same ideal: 154
- Sun May 13 15:45:56 2018 removing 5396026 relations and 3396026 ideals in 2000000 cliques
- Sun May 13 15:45:58 2018 commencing in-memory singleton removal
- Sun May 13 15:46:07 2018 begin with 91124139 relations and 70844567 unique ideals
- Sun May 13 15:47:09 2018 reduce to 90919905 relations and 67240435 ideals in 6 passes
- Sun May 13 15:47:09 2018 max relations containing the same ideal: 147
- Sun May 13 15:47:58 2018 removing 5376975 relations and 3376975 ideals in 2000000 cliques
- Sun May 13 15:48:00 2018 commencing in-memory singleton removal
- Sun May 13 15:48:09 2018 begin with 85542930 relations and 67240435 unique ideals
- Sun May 13 15:49:04 2018 reduce to 85330205 relations and 63646412 ideals in 6 passes
- Sun May 13 15:49:04 2018 max relations containing the same ideal: 139
- Sun May 13 15:49:49 2018 removing 5360700 relations and 3360700 ideals in 2000000 cliques
- Sun May 13 15:49:52 2018 commencing in-memory singleton removal
- Sun May 13 15:49:59 2018 begin with 79969505 relations and 63646412 unique ideals
- Sun May 13 15:50:42 2018 reduce to 79745786 relations and 60057142 ideals in 5 passes
- Sun May 13 15:50:42 2018 max relations containing the same ideal: 134
- Sun May 13 15:51:24 2018 removing 5355597 relations and 3355597 ideals in 2000000 cliques
- Sun May 13 15:51:26 2018 commencing in-memory singleton removal
- Sun May 13 15:51:33 2018 begin with 74390189 relations and 60057142 unique ideals
- Sun May 13 15:52:19 2018 reduce to 74150963 relations and 56456814 ideals in 6 passes
- Sun May 13 15:52:19 2018 max relations containing the same ideal: 128
- Sun May 13 15:52:59 2018 removing 5367596 relations and 3367596 ideals in 2000000 cliques
- Sun May 13 15:53:01 2018 commencing in-memory singleton removal
- Sun May 13 15:53:07 2018 begin with 68783367 relations and 56456814 unique ideals
- Sun May 13 15:53:56 2018 reduce to 68526181 relations and 52825681 ideals in 7 passes
- Sun May 13 15:53:56 2018 max relations containing the same ideal: 120
- Sun May 13 15:54:31 2018 removing 5382668 relations and 3382668 ideals in 2000000 cliques
- Sun May 13 15:54:33 2018 commencing in-memory singleton removal
- Sun May 13 15:54:38 2018 begin with 63143513 relations and 52825681 unique ideals
- Sun May 13 15:55:15 2018 reduce to 62864101 relations and 49156216 ideals in 6 passes
- Sun May 13 15:55:15 2018 max relations containing the same ideal: 115
- Sun May 13 15:55:47 2018 removing 5412348 relations and 3412348 ideals in 2000000 cliques
- Sun May 13 15:55:49 2018 commencing in-memory singleton removal
- Sun May 13 15:55:54 2018 begin with 57451753 relations and 49156216 unique ideals
- Sun May 13 15:56:30 2018 reduce to 57143291 relations and 45426679 ideals in 7 passes
- Sun May 13 15:56:30 2018 max relations containing the same ideal: 105
- Sun May 13 15:56:59 2018 removing 5458111 relations and 3458111 ideals in 2000000 cliques
- Sun May 13 15:57:01 2018 commencing in-memory singleton removal
- Sun May 13 15:57:05 2018 begin with 51685180 relations and 45426679 unique ideals
- Sun May 13 15:57:39 2018 reduce to 51338420 relations and 41611252 ideals in 7 passes
- Sun May 13 15:57:39 2018 max relations containing the same ideal: 99
- Sun May 13 15:58:06 2018 removing 5515847 relations and 3515847 ideals in 2000000 cliques
- Sun May 13 15:58:08 2018 commencing in-memory singleton removal
- Sun May 13 15:58:12 2018 begin with 45822573 relations and 41611252 unique ideals
- Sun May 13 15:58:41 2018 reduce to 45428199 relations and 37687793 ideals in 7 passes
- Sun May 13 15:58:41 2018 max relations containing the same ideal: 92
- Sun May 13 15:59:05 2018 removing 5590117 relations and 3590117 ideals in 2000000 cliques
- Sun May 13 15:59:07 2018 commencing in-memory singleton removal
- Sun May 13 15:59:10 2018 begin with 39838082 relations and 37687793 unique ideals
- Sun May 13 15:59:35 2018 reduce to 39379513 relations and 33621705 ideals in 7 passes
- Sun May 13 15:59:35 2018 max relations containing the same ideal: 84
- Sun May 13 15:59:56 2018 removing 5687292 relations and 3687292 ideals in 2000000 cliques
- Sun May 13 15:59:58 2018 commencing in-memory singleton removal
- Sun May 13 16:00:00 2018 begin with 33692221 relations and 33621705 unique ideals
- Sun May 13 16:00:21 2018 reduce to 33144481 relations and 29362941 ideals in 7 passes
- Sun May 13 16:00:21 2018 max relations containing the same ideal: 77
- Sun May 13 16:00:39 2018 removing 5796420 relations and 3796420 ideals in 2000000 cliques
- Sun May 13 16:00:41 2018 commencing in-memory singleton removal
- Sun May 13 16:00:43 2018 begin with 27348061 relations and 29362941 unique ideals
- Sun May 13 16:01:01 2018 reduce to 26663620 relations and 24846847 ideals in 8 passes
- Sun May 13 16:01:01 2018 max relations containing the same ideal: 65
- Sun May 13 16:01:16 2018 removing 3094683 relations and 2196941 ideals in 897742 cliques
- Sun May 13 16:01:17 2018 commencing in-memory singleton removal
- Sun May 13 16:01:19 2018 begin with 23568937 relations and 24846847 unique ideals
- Sun May 13 16:01:32 2018 reduce to 23286728 relations and 22359281 ideals in 7 passes
- Sun May 13 16:01:32 2018 max relations containing the same ideal: 58
- Sun May 13 16:01:45 2018 removing 57925 relations and 49509 ideals in 8416 cliques
- Sun May 13 16:01:46 2018 commencing in-memory singleton removal
- Sun May 13 16:01:48 2018 begin with 23228803 relations and 22359281 unique ideals
- Sun May 13 16:01:55 2018 reduce to 23228706 relations and 22309675 ideals in 4 passes
- Sun May 13 16:01:55 2018 max relations containing the same ideal: 58
- Sun May 13 16:01:59 2018 relations with 0 large ideals: 63347
- Sun May 13 16:01:59 2018 relations with 1 large ideals: 20268
- Sun May 13 16:01:59 2018 relations with 2 large ideals: 233932
- Sun May 13 16:01:59 2018 relations with 3 large ideals: 1257026
- Sun May 13 16:01:59 2018 relations with 4 large ideals: 3607752
- Sun May 13 16:01:59 2018 relations with 5 large ideals: 6694758
- Sun May 13 16:01:59 2018 relations with 6 large ideals: 5902330
- Sun May 13 16:01:59 2018 relations with 7+ large ideals: 5449293
- Sun May 13 16:01:59 2018 commencing 2-way merge
- Sun May 13 16:02:16 2018 reduce to 15457615 relation sets and 14538584 unique ideals
- Sun May 13 16:02:16 2018 commencing full merge
- Sun May 13 16:10:44 2018 memory use: 1804.9 MB
- Sun May 13 16:10:48 2018 found 6820053 cycles, need 6794784
- Sun May 13 16:10:48 2018 weight of 6794784 cycles is about 815820552 (120.07/cycle)
- Sun May 13 16:10:48 2018 distribution of cycle lengths:
- Sun May 13 16:10:48 2018 1 relations: 239788
- Sun May 13 16:10:48 2018 2 relations: 320683
- Sun May 13 16:10:48 2018 3 relations: 397446
- Sun May 13 16:10:48 2018 4 relations: 432206
- Sun May 13 16:10:48 2018 5 relations: 454867
- Sun May 13 16:10:48 2018 6 relations: 464740
- Sun May 13 16:10:48 2018 7 relations: 465272
- Sun May 13 16:10:48 2018 8 relations: 457794
- Sun May 13 16:10:49 2018 9 relations: 438741
- Sun May 13 16:10:49 2018 10+ relations: 3123247
- Sun May 13 16:10:49 2018 heaviest cycle: 28 relations
- Sun May 13 16:10:56 2018 commencing cycle optimization
- Sun May 13 16:11:14 2018 start with 66263230 relations
- Sun May 13 16:15:21 2018 pruned 3550305 relations
- Sun May 13 16:15:21 2018 memory use: 1639.2 MB
- Sun May 13 16:15:21 2018 distribution of cycle lengths:
- Sun May 13 16:15:21 2018 1 relations: 239788
- Sun May 13 16:15:21 2018 2 relations: 328486
- Sun May 13 16:15:21 2018 3 relations: 414652
- Sun May 13 16:15:21 2018 4 relations: 452447
- Sun May 13 16:15:21 2018 5 relations: 481266
- Sun May 13 16:15:21 2018 6 relations: 492287
- Sun May 13 16:15:21 2018 7 relations: 496234
- Sun May 13 16:15:21 2018 8 relations: 486392
- Sun May 13 16:15:21 2018 9 relations: 467175
- Sun May 13 16:15:21 2018 10+ relations: 2936057
- Sun May 13 16:15:21 2018 heaviest cycle: 28 relations
- Sun May 13 16:15:36 2018 RelProcTime: 9923
- Sun May 13 16:15:36 2018 elapsed time 02:45:25
- Sun May 13 17:10:51 2018
- Sun May 13 17:10:51 2018
- Sun May 13 17:10:51 2018 Msieve v. 1.54 (SVN 1018)
- Sun May 13 17:10:51 2018 random seeds: c69cd2c0 5d058902
- Sun May 13 17:10:51 2018 factoring 72270101295123041276527116761764521431866093655401688094185070904488657368112353206432603121819085513775533474290338989082239630948795628893810488787831844749091552085141199462195670487569508438298272445093903834781 (215 digits)
- Sun May 13 17:10:52 2018 searching for 15-digit factors
- Sun May 13 17:10:52 2018 commencing number field sieve (215-digit input)
- Sun May 13 17:10:52 2018 R0: 518489141839991966393425074886720757544645449474963309
- Sun May 13 17:10:52 2018 R1: -1
- Sun May 13 17:10:52 2018 A0: 1
- Sun May 13 17:10:52 2018 A1: 1
- Sun May 13 17:10:52 2018 A2: 1
- Sun May 13 17:10:52 2018 A3: 1
- Sun May 13 17:10:52 2018 A4: 1
- Sun May 13 17:10:53 2018 skew 1.00, size 6.685e-022, alpha 1.694, combined = 4.514e-013 rroots = 0
- Sun May 13 17:10:53 2018
- Sun May 13 17:10:53 2018 commencing linear algebra
- Sun May 13 17:10:54 2018 read 6794784 cycles
- Sun May 13 17:11:13 2018 cycles contain 22769143 unique relations
- Sun May 13 17:13:59 2018 read 22769143 relations
- Sun May 13 17:14:37 2018 using 20 quadratic characters above 4294917295
- Sun May 13 17:16:10 2018 building initial matrix
- Sun May 13 17:20:03 2018 memory use: 2848.9 MB
- Sun May 13 17:20:08 2018 read 6794784 cycles
- Sun May 13 17:20:10 2018 matrix is 6794607 x 6794784 (3177.4 MB) with weight 910368352 (133.98/col)
- Sun May 13 17:20:10 2018 sparse part has weight 758194566 (111.58/col)
- Sun May 13 17:21:35 2018 filtering completed in 2 passes
- Sun May 13 17:21:36 2018 matrix is 6794499 x 6794676 (3177.4 MB) with weight 910363786 (133.98/col)
- Sun May 13 17:21:36 2018 sparse part has weight 758192552 (111.59/col)
- Sun May 13 17:21:56 2018 matrix starts at (0, 0)
- Sun May 13 17:21:57 2018 matrix is 6794499 x 6794676 (3177.4 MB) with weight 910363786 (133.98/col)
- Sun May 13 17:21:57 2018 sparse part has weight 758192552 (111.59/col)
- Sun May 13 17:21:57 2018 saving the first 48 matrix rows for later
- Sun May 13 17:21:59 2018 matrix includes 64 packed rows
- Sun May 13 17:22:00 2018 matrix is 6794451 x 6794676 (3042.6 MB) with weight 783443657 (115.30/col)
- Sun May 13 17:22:00 2018 sparse part has weight 729656561 (107.39/col)
- Sun May 13 17:22:00 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sun May 13 17:22:36 2018 commencing Lanczos iteration (4 threads)
- Sun May 13 17:22:36 2018 memory use: 2578.3 MB
- Sun May 13 17:23:03 2018 linear algebra at 0.0%, ETA 32h12m
- Sun May 13 17:23:12 2018 checkpointing every 210000 dimensions
- Tue May 15 01:49:53 2018 lanczos halted after 107456 iterations (dim = 6794448)
- Tue May 15 01:50:03 2018 recovered 34 nontrivial dependencies
- Tue May 15 01:50:07 2018 BLanczosTime: 117554
- Tue May 15 01:50:07 2018 elapsed time 32:39:16
- Tue May 15 22:24:50 2018
- Tue May 15 22:24:50 2018
- Tue May 15 22:24:50 2018 Msieve v. 1.54 (SVN 1018)
- Tue May 15 22:24:50 2018 random seeds: 48b0e5fc c1f3f13c
- Tue May 15 22:24:50 2018 factoring 72270101295123041276527116761764521431866093655401688094185070904488657368112353206432603121819085513775533474290338989082239630948795628893810488787831844749091552085141199462195670487569508438298272445093903834781 (215 digits)
- Tue May 15 22:24:51 2018 searching for 15-digit factors
- Tue May 15 22:24:52 2018 commencing number field sieve (215-digit input)
- Tue May 15 22:24:52 2018 R0: 518489141839991966393425074886720757544645449474963309
- Tue May 15 22:24:52 2018 R1: -1
- Tue May 15 22:24:52 2018 A0: 1
- Tue May 15 22:24:52 2018 A1: 1
- Tue May 15 22:24:52 2018 A2: 1
- Tue May 15 22:24:52 2018 A3: 1
- Tue May 15 22:24:52 2018 A4: 1
- Tue May 15 22:24:52 2018 skew 1.00, size 6.685e-022, alpha 1.694, combined = 4.514e-013 rroots = 0
- Tue May 15 22:24:52 2018
- Tue May 15 22:24:52 2018 commencing square root phase
- Tue May 15 22:24:52 2018 reading relations for dependency 1
- Tue May 15 22:24:54 2018 read 3396167 cycles
- Tue May 15 22:25:05 2018 cycles contain 11382526 unique relations
- Tue May 15 22:27:23 2018 read 11382526 relations
- Tue May 15 22:28:39 2018 multiplying 11382526 relations
- Tue May 15 22:33:30 2018 multiply complete, coefficients have about 287.74 million bits
- Tue May 15 22:33:31 2018 initial square root is modulo 145577
- Tue May 15 22:39:29 2018 sqrtTime: 877
- Tue May 15 22:39:29 2018 p71 factor: 23099287942287694135536839512457996245860010441114504619122749954463651
- Tue May 15 22:39:29 2018 p145 factor: 3128672254992705030835833033341773589494636733544688810477382579278908858629934458616452408625852841880692786032458882786045296484669184210621631
- Tue May 15 22:39:29 2018 elapsed time 00:14:39
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