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- Found 286915235 unique, 72560974 duplicate, and 3787 bad relations.
- Largest dimension used: 1034 of 1300
- Average dimension used: 875.6 of 1300
- Found 367758088 unique, 116448542 duplicate, and 5822 bad relations.
- Largest dimension used: 1302 of 1700
- Average dimension used: 1122.3 of 1700
- Found 384806315 unique, 125912400 duplicate, and 6037 bad relations.
- Largest dimension used: 1362 of 1700
- Average dimension used: 1174.4 of 1700
- Wed Jan 9 17:13:27 2019
- Wed Jan 9 17:13:27 2019
- Wed Jan 9 17:13:27 2019 Msieve v. 1.53 (SVN unknown)
- Wed Jan 9 17:13:27 2019 random seeds: 8659c18c 5d0bb6bd
- Wed Jan 9 17:13:27 2019 factoring 956379844347474371015410151102139504124890949944157748057016670744599658453579539646328308672426335986170758240390935172299558861343099904906396173591847083394948756612400182265999434572804113151763999498423636147911036601711851836414306923498160828359012236634994285161291801 (276 digits)
- Wed Jan 9 17:13:29 2019 no P-1/P+1/ECM available, skipping
- Wed Jan 9 17:13:29 2019 commencing number field sieve (276-digit input)
- Wed Jan 9 17:13:29 2019 R0: -4244200115309993198876969489421897548446236915
- Wed Jan 9 17:13:29 2019 R1: 6867260041627791953052057353082063289320596021
- Wed Jan 9 17:13:29 2019 A0: 2
- Wed Jan 9 17:13:29 2019 A1: 9
- Wed Jan 9 17:13:29 2019 A2: 30
- Wed Jan 9 17:13:29 2019 A3: -25
- Wed Jan 9 17:13:29 2019 A4: 45
- Wed Jan 9 17:13:29 2019 A5: -21
- Wed Jan 9 17:13:29 2019 A6: 8
- Wed Jan 9 17:13:29 2019 skew 0.79, size 1.444e-13, alpha 0.306, combined = 2.662e-14 rroots = 0
- Wed Jan 9 17:13:29 2019
- Wed Jan 9 17:13:29 2019 commencing relation filtering
- Wed Jan 9 17:13:29 2019 setting target matrix density to 140.0
- Wed Jan 9 17:13:29 2019 estimated available RAM is 515704.5 MB
- Wed Jan 9 17:13:29 2019 commencing duplicate removal, pass 1
- Wed Jan 9 18:24:11 2019 skipped 6674 relations with b > 2^32
- Wed Jan 9 18:24:11 2019 skipped 11 relations with composite factors
- Wed Jan 9 18:24:11 2019 found 31357899 hash collisions in 386437973 relations
- Wed Jan 9 18:24:29 2019 added 812293 free relations
- Wed Jan 9 18:24:29 2019 commencing duplicate removal, pass 2
- Wed Jan 9 18:32:35 2019 found 593348 duplicates and 386656918 unique relations
- Wed Jan 9 18:32:35 2019 memory use: 1321.5 MB
- Wed Jan 9 18:32:35 2019 reading ideals above 720000
- Wed Jan 9 18:32:35 2019 commencing singleton removal, initial pass
- Wed Jan 9 19:36:23 2019 memory use: 11024.0 MB
- Wed Jan 9 19:36:23 2019 reading all ideals from disk
- Wed Jan 9 19:36:30 2019 memory use: 16574.2 MB
- Wed Jan 9 19:37:06 2019 keeping 350593957 ideals with weight <= 200, target excess is 1985418
- Wed Jan 9 19:37:50 2019 commencing in-memory singleton removal
- Wed Jan 9 19:38:16 2019 begin with 386656918 relations and 350593957 unique ideals
- Wed Jan 9 19:43:40 2019 reduce to 266326396 relations and 219278818 ideals in 14 passes
- Wed Jan 9 19:43:40 2019 max relations containing the same ideal: 168
- Wed Jan 9 19:45:26 2019 removing 13200302 relations and 11200302 ideals in 2000000 cliques
- Wed Jan 9 19:45:32 2019 commencing in-memory singleton removal
- Wed Jan 9 19:45:50 2019 begin with 253126094 relations and 219278818 unique ideals
- Wed Jan 9 19:48:37 2019 reduce to 252596132 relations and 207542973 ideals in 8 passes
- Wed Jan 9 19:48:37 2019 max relations containing the same ideal: 161
- Wed Jan 9 19:50:18 2019 removing 9979156 relations and 7979156 ideals in 2000000 cliques
- Wed Jan 9 19:50:25 2019 commencing in-memory singleton removal
- Wed Jan 9 19:50:41 2019 begin with 242616976 relations and 207542973 unique ideals
- Wed Jan 9 19:53:00 2019 reduce to 242282721 relations and 199226672 ideals in 7 passes
- Wed Jan 9 19:53:00 2019 max relations containing the same ideal: 160
- Wed Jan 9 19:54:38 2019 removing 8974798 relations and 6974798 ideals in 2000000 cliques
- Wed Jan 9 19:54:44 2019 commencing in-memory singleton removal
- Wed Jan 9 19:55:00 2019 begin with 233307923 relations and 199226672 unique ideals
- Wed Jan 9 19:57:14 2019 reduce to 233023683 relations and 191965220 ideals in 7 passes
- Wed Jan 9 19:57:14 2019 max relations containing the same ideal: 154
- Wed Jan 9 19:58:47 2019 removing 8422954 relations and 6422954 ideals in 2000000 cliques
- Wed Jan 9 19:58:53 2019 commencing in-memory singleton removal
- Wed Jan 9 19:59:08 2019 begin with 224600729 relations and 191965220 unique ideals
- Wed Jan 9 20:01:16 2019 reduce to 224338961 relations and 185278285 ideals in 7 passes
- Wed Jan 9 20:01:16 2019 max relations containing the same ideal: 150
- Wed Jan 9 20:02:47 2019 removing 8066653 relations and 6066653 ideals in 2000000 cliques
- Wed Jan 9 20:02:53 2019 commencing in-memory singleton removal
- Wed Jan 9 20:03:08 2019 begin with 216272308 relations and 185278285 unique ideals
- Wed Jan 9 20:05:09 2019 reduce to 216024201 relations and 178961291 ideals in 7 passes
- Wed Jan 9 20:05:09 2019 max relations containing the same ideal: 147
- Wed Jan 9 20:06:38 2019 removing 7816395 relations and 5816395 ideals in 2000000 cliques
- Wed Jan 9 20:06:43 2019 commencing in-memory singleton removal
- Wed Jan 9 20:06:57 2019 begin with 208207806 relations and 178961291 unique ideals
- Wed Jan 9 20:09:12 2019 reduce to 207967329 relations and 172902288 ideals in 8 passes
- Wed Jan 9 20:09:12 2019 max relations containing the same ideal: 141
- Wed Jan 9 20:10:38 2019 removing 7632801 relations and 5632801 ideals in 2000000 cliques
- Wed Jan 9 20:10:43 2019 commencing in-memory singleton removal
- Wed Jan 9 20:10:56 2019 begin with 200334528 relations and 172902288 unique ideals
- Wed Jan 9 20:12:50 2019 reduce to 200098586 relations and 167031449 ideals in 7 passes
- Wed Jan 9 20:12:50 2019 max relations containing the same ideal: 140
- Wed Jan 9 20:14:12 2019 removing 7493476 relations and 5493476 ideals in 2000000 cliques
- Wed Jan 9 20:14:16 2019 commencing in-memory singleton removal
- Wed Jan 9 20:14:30 2019 begin with 192605110 relations and 167031449 unique ideals
- Wed Jan 9 20:16:18 2019 reduce to 192370576 relations and 161301227 ideals in 7 passes
- Wed Jan 9 20:16:18 2019 max relations containing the same ideal: 137
- Wed Jan 9 20:17:38 2019 removing 7391979 relations and 5391979 ideals in 2000000 cliques
- Wed Jan 9 20:17:42 2019 commencing in-memory singleton removal
- Wed Jan 9 20:17:55 2019 begin with 184978597 relations and 161301227 unique ideals
- Wed Jan 9 20:19:25 2019 reduce to 184742985 relations and 155671420 ideals in 6 passes
- Wed Jan 9 20:19:25 2019 max relations containing the same ideal: 136
- Wed Jan 9 20:20:41 2019 removing 7312504 relations and 5312504 ideals in 2000000 cliques
- Wed Jan 9 20:20:45 2019 commencing in-memory singleton removal
- Wed Jan 9 20:20:58 2019 begin with 177430481 relations and 155671420 unique ideals
- Wed Jan 9 20:22:23 2019 reduce to 177191765 relations and 150117857 ideals in 6 passes
- Wed Jan 9 20:22:23 2019 max relations containing the same ideal: 129
- Wed Jan 9 20:23:37 2019 removing 7253644 relations and 5253644 ideals in 2000000 cliques
- Wed Jan 9 20:23:41 2019 commencing in-memory singleton removal
- Wed Jan 9 20:23:53 2019 begin with 169938121 relations and 150117857 unique ideals
- Wed Jan 9 20:25:28 2019 reduce to 169697193 relations and 144620870 ideals in 7 passes
- Wed Jan 9 20:25:28 2019 max relations containing the same ideal: 127
- Wed Jan 9 20:26:40 2019 removing 7210970 relations and 5210970 ideals in 2000000 cliques
- Wed Jan 9 20:26:44 2019 commencing in-memory singleton removal
- Wed Jan 9 20:26:55 2019 begin with 162486223 relations and 144620870 unique ideals
- Wed Jan 9 20:28:26 2019 reduce to 162239485 relations and 139160456 ideals in 7 passes
- Wed Jan 9 20:28:26 2019 max relations containing the same ideal: 125
- Wed Jan 9 20:29:35 2019 removing 7177727 relations and 5177727 ideals in 2000000 cliques
- Wed Jan 9 20:29:39 2019 commencing in-memory singleton removal
- Wed Jan 9 20:29:49 2019 begin with 155061758 relations and 139160456 unique ideals
- Wed Jan 9 20:31:17 2019 reduce to 154808210 relations and 133726278 ideals in 7 passes
- Wed Jan 9 20:31:17 2019 max relations containing the same ideal: 119
- Wed Jan 9 20:32:23 2019 removing 7162009 relations and 5162009 ideals in 2000000 cliques
- Wed Jan 9 20:32:27 2019 commencing in-memory singleton removal
- Wed Jan 9 20:32:37 2019 begin with 147646201 relations and 133726278 unique ideals
- Wed Jan 9 20:33:58 2019 reduce to 147383410 relations and 128298486 ideals in 7 passes
- Wed Jan 9 20:33:58 2019 max relations containing the same ideal: 118
- Wed Jan 9 20:35:01 2019 removing 7152505 relations and 5152505 ideals in 2000000 cliques
- Wed Jan 9 20:35:05 2019 commencing in-memory singleton removal
- Wed Jan 9 20:35:14 2019 begin with 140230905 relations and 128298486 unique ideals
- Wed Jan 9 20:36:22 2019 reduce to 139958327 relations and 122870074 ideals in 6 passes
- Wed Jan 9 20:36:22 2019 max relations containing the same ideal: 112
- Wed Jan 9 20:37:21 2019 removing 7155775 relations and 5155775 ideals in 2000000 cliques
- Wed Jan 9 20:37:25 2019 commencing in-memory singleton removal
- Wed Jan 9 20:37:34 2019 begin with 132802552 relations and 122870074 unique ideals
- Wed Jan 9 20:38:47 2019 reduce to 132519281 relations and 117427430 ideals in 7 passes
- Wed Jan 9 20:38:47 2019 max relations containing the same ideal: 107
- Wed Jan 9 20:39:43 2019 removing 7161217 relations and 5161217 ideals in 2000000 cliques
- Wed Jan 9 20:39:47 2019 commencing in-memory singleton removal
- Wed Jan 9 20:39:55 2019 begin with 125358064 relations and 117427430 unique ideals
- Wed Jan 9 20:41:04 2019 reduce to 125060451 relations and 111964725 ideals in 7 passes
- Wed Jan 9 20:41:04 2019 max relations containing the same ideal: 105
- Wed Jan 9 20:41:59 2019 removing 7184388 relations and 5184388 ideals in 2000000 cliques
- Wed Jan 9 20:42:02 2019 commencing in-memory singleton removal
- Wed Jan 9 20:42:10 2019 begin with 117876063 relations and 111964725 unique ideals
- Wed Jan 9 20:43:15 2019 reduce to 117561719 relations and 106461661 ideals in 7 passes
- Wed Jan 9 20:43:15 2019 max relations containing the same ideal: 104
- Wed Jan 9 20:44:06 2019 removing 7212196 relations and 5212196 ideals in 2000000 cliques
- Wed Jan 9 20:44:10 2019 commencing in-memory singleton removal
- Wed Jan 9 20:44:17 2019 begin with 110349523 relations and 106461661 unique ideals
- Wed Jan 9 20:45:09 2019 reduce to 110017252 relations and 100912186 ideals in 6 passes
- Wed Jan 9 20:45:09 2019 max relations containing the same ideal: 100
- Wed Jan 9 20:45:58 2019 removing 7250935 relations and 5250935 ideals in 2000000 cliques
- Wed Jan 9 20:46:01 2019 commencing in-memory singleton removal
- Wed Jan 9 20:46:08 2019 begin with 102766317 relations and 100912186 unique ideals
- Wed Jan 9 20:47:04 2019 reduce to 102407487 relations and 95296840 ideals in 7 passes
- Wed Jan 9 20:47:04 2019 max relations containing the same ideal: 99
- Wed Jan 9 20:47:49 2019 removing 7293024 relations and 5293024 ideals in 2000000 cliques
- Wed Jan 9 20:47:53 2019 commencing in-memory singleton removal
- Wed Jan 9 20:47:59 2019 begin with 95114463 relations and 95296840 unique ideals
- Wed Jan 9 20:48:50 2019 reduce to 94725957 relations and 89608877 ideals in 7 passes
- Wed Jan 9 20:48:50 2019 max relations containing the same ideal: 94
- Wed Jan 9 20:49:32 2019 removing 7359398 relations and 5359398 ideals in 2000000 cliques
- Wed Jan 9 20:49:35 2019 commencing in-memory singleton removal
- Wed Jan 9 20:49:41 2019 begin with 87366559 relations and 89608877 unique ideals
- Wed Jan 9 20:50:28 2019 reduce to 86937694 relations and 83813202 ideals in 7 passes
- Wed Jan 9 20:50:28 2019 max relations containing the same ideal: 84
- Wed Jan 9 20:51:07 2019 removing 3611814 relations and 2790407 ideals in 821407 cliques
- Wed Jan 9 20:51:09 2019 commencing in-memory singleton removal
- Wed Jan 9 20:51:15 2019 begin with 83325880 relations and 83813202 unique ideals
- Wed Jan 9 20:52:00 2019 reduce to 83222831 relations and 80918944 ideals in 7 passes
- Wed Jan 9 20:52:00 2019 max relations containing the same ideal: 80
- Wed Jan 9 20:52:51 2019 relations with 0 large ideals: 50595
- Wed Jan 9 20:52:51 2019 relations with 1 large ideals: 37604
- Wed Jan 9 20:52:51 2019 relations with 2 large ideals: 492114
- Wed Jan 9 20:52:51 2019 relations with 3 large ideals: 2905673
- Wed Jan 9 20:52:51 2019 relations with 4 large ideals: 9341274
- Wed Jan 9 20:52:51 2019 relations with 5 large ideals: 18110447
- Wed Jan 9 20:52:51 2019 relations with 6 large ideals: 22164696
- Wed Jan 9 20:52:51 2019 relations with 7+ large ideals: 30120428
- Wed Jan 9 20:52:51 2019 commencing 2-way merge
- Wed Jan 9 20:53:39 2019 reduce to 54882100 relation sets and 52578213 unique ideals
- Wed Jan 9 20:53:39 2019 commencing full merge
- Wed Jan 9 21:17:56 2019 memory use: 6894.0 MB
- Wed Jan 9 21:18:02 2019 found 23798016 cycles, need 23778413
- Wed Jan 9 21:18:10 2019 weight of 23778413 cycles is about 3329192023 (140.01/cycle)
- Wed Jan 9 21:18:10 2019 distribution of cycle lengths:
- Wed Jan 9 21:18:10 2019 1 relations: 863875
- Wed Jan 9 21:18:10 2019 2 relations: 1277006
- Wed Jan 9 21:18:10 2019 3 relations: 1508006
- Wed Jan 9 21:18:10 2019 4 relations: 1551034
- Wed Jan 9 21:18:10 2019 5 relations: 1600252
- Wed Jan 9 21:18:10 2019 6 relations: 1588769
- Wed Jan 9 21:18:10 2019 7 relations: 1558044
- Wed Jan 9 21:18:10 2019 8 relations: 1520237
- Wed Jan 9 21:18:10 2019 9 relations: 1457860
- Wed Jan 9 21:18:10 2019 10+ relations: 10853330
- Wed Jan 9 21:18:10 2019 heaviest cycle: 28 relations
- Wed Jan 9 21:18:16 2019 commencing cycle optimization
- Wed Jan 9 21:19:10 2019 start with 231140226 relations
- Wed Jan 9 21:29:55 2019 pruned 11782198 relations
- Wed Jan 9 21:29:56 2019 memory use: 5818.7 MB
- Wed Jan 9 21:29:56 2019 distribution of cycle lengths:
- Wed Jan 9 21:29:56 2019 1 relations: 863875
- Wed Jan 9 21:29:56 2019 2 relations: 1312362
- Wed Jan 9 21:29:56 2019 3 relations: 1576798
- Wed Jan 9 21:29:56 2019 4 relations: 1623434
- Wed Jan 9 21:29:56 2019 5 relations: 1687045
- Wed Jan 9 21:29:56 2019 6 relations: 1672514
- Wed Jan 9 21:29:56 2019 7 relations: 1648480
- Wed Jan 9 21:29:56 2019 8 relations: 1601518
- Wed Jan 9 21:29:56 2019 9 relations: 1537311
- Wed Jan 9 21:29:56 2019 10+ relations: 10255076
- Wed Jan 9 21:29:56 2019 heaviest cycle: 28 relations
- Wed Jan 9 21:31:02 2019 RelProcTime: 15453
- Wed Jan 9 21:31:02 2019
- Wed Jan 9 21:31:02 2019 commencing linear algebra
- Wed Jan 9 21:31:06 2019 read 23778413 cycles
- Wed Jan 9 21:31:53 2019 cycles contain 82091811 unique relations
- Wed Jan 9 21:47:07 2019 read 82091811 relations
- Wed Jan 9 21:49:49 2019 using 20 quadratic characters above 4294917295
- Wed Jan 9 21:57:07 2019 building initial matrix
- Wed Jan 9 22:19:41 2019 memory use: 11042.4 MB
- Wed Jan 9 22:20:01 2019 read 23778413 cycles
- Wed Jan 9 22:20:05 2019 matrix is 23778236 x 23778413 (12718.5 MB) with weight 3628043668 (152.58/col)
- Wed Jan 9 22:20:05 2019 sparse part has weight 3072503745 (129.21/col)
- Wed Jan 9 22:26:27 2019 filtering completed in 2 passes
- Wed Jan 9 22:26:33 2019 matrix is 23778117 x 23778294 (12718.4 MB) with weight 3628039269 (152.58/col)
- Wed Jan 9 22:26:33 2019 sparse part has weight 3072502276 (129.21/col)
- Wed Jan 9 22:27:50 2019 matrix starts at (0, 0)
- Wed Jan 9 22:27:55 2019 matrix is 23778117 x 23778294 (12718.4 MB) with weight 3628039269 (152.58/col)
- Wed Jan 9 22:27:55 2019 sparse part has weight 3072502276 (129.21/col)
- Wed Jan 9 22:27:55 2019 saving the first 48 matrix rows for later
- Wed Jan 9 22:28:00 2019 matrix includes 64 packed rows
- Wed Jan 9 22:28:04 2019 matrix is 23778069 x 23778294 (12220.8 MB) with weight 3151182957 (132.52/col)
- Wed Jan 9 22:28:04 2019 sparse part has weight 2965826345 (124.73/col)
- Wed Jan 9 22:28:05 2019 using block size 8192 and superblock size 4423680 for processor cache size 46080 kB
- Wed Jan 9 22:30:48 2019 commencing Lanczos iteration (32 threads)
- Wed Jan 9 22:30:48 2019 memory use: 10620.5 MB
- Wed Jan 9 22:31:41 2019 linear algebra at 0.0%, ETA 217h15m
- Wed Jan 9 22:31:57 2019 checkpointing every 120000 dimensions
- Wed Jan 16 23:11:08 2019 lanczos halted after 376016 iterations (dim = 23778067)
- Wed Jan 16 23:11:29 2019 recovered 34 nontrivial dependencies
- Wed Jan 16 23:11:30 2019 BLanczosTime: 610828
- Wed Jan 16 23:11:30 2019
- Wed Jan 16 23:11:30 2019 commencing square root phase
- Wed Jan 16 23:11:30 2019 handling dependencies 1 to 64
- Wed Jan 16 23:11:30 2019 reading relations for dependency 1
- Wed Jan 16 23:11:33 2019 read 11891473 cycles
- Wed Jan 16 23:11:55 2019 cycles contain 41046132 unique relations
- Wed Jan 16 23:21:14 2019 read 41046132 relations
- Wed Jan 16 23:24:02 2019 multiplying 41046132 relations
- Thu Jan 17 00:08:55 2019 multiply complete, coefficients have about 1237.98 million bits
- Thu Jan 17 00:09:03 2019 initial square root is modulo 357509
- Thu Jan 17 01:08:22 2019 found factor: 1438625854229367720340967743828153385771529774883506804638101
- Thu Jan 17 01:08:22 2019 reading relations for dependency 2
- Thu Jan 17 01:08:26 2019 read 11887388 cycles
- Thu Jan 17 01:08:55 2019 cycles contain 41040692 unique relations
- Thu Jan 17 01:20:29 2019 read 41040692 relations
- Thu Jan 17 01:24:15 2019 multiplying 41040692 relations
- Thu Jan 17 02:18:50 2019 multiply complete, coefficients have about 1237.81 million bits
- Thu Jan 17 02:18:58 2019 initial square root is modulo 356893
- Thu Jan 17 03:12:11 2019 sqrtTime: 14441
- Thu Jan 17 03:12:11 2019 p61 factor: 1438625854229367720340967743828153385771529774883506804638101
- Thu Jan 17 03:12:11 2019 p87 factor: 156190727234485990868901797408440337437292533470887098323411257956773799001403526948321
- Thu Jan 17 03:12:11 2019 p130 factor: 4256251740423779669196681884878621775716778052044268725575122829112296629778247021027534630177382668888858669791184675040294645781
- Thu Jan 17 03:12:11 2019 elapsed time 177:58:44
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