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# C192_124_97

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Jan 12th, 2017
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__Sign Up__- Sat Dec 17 05:57:07 2016
- Sat Dec 17 05:57:07 2016
- Sat Dec 17 05:57:07 2016 Msieve v. 1.52 (SVN unknown)
- Sat Dec 17 05:57:07 2016 random seeds: 7cc4c220 a15d5111
- Sat Dec 17 05:57:07 2016 factoring 122301054858198061993382774662228670080194156241495211590277547659740367975390670948037769194623295200791838634734536532416643695679501402940570298854543475101208315720071858552540951782079357 (192 digits)
- Sat Dec 17 05:57:08 2016 no P-1/P+1/ECM available, skipping
- Sat Dec 17 05:57:08 2016 commencing number field sieve (192-digit input)
- Sat Dec 17 05:57:08 2016 R0: 527480512638944839726474542256547576188897
- Sat Dec 17 05:57:08 2016 R1: -3124258518258387088196457648357376
- Sat Dec 17 05:57:08 2016 A0: 1166716
- Sat Dec 17 05:57:08 2016 A1: 0
- Sat Dec 17 05:57:08 2016 A2: 0
- Sat Dec 17 05:57:08 2016 A3: 0
- Sat Dec 17 05:57:08 2016 A4: 0
- Sat Dec 17 05:57:08 2016 A5: 0
- Sat Dec 17 05:57:08 2016 A6: 1
- Sat Dec 17 05:57:08 2016 skew 10.26, size 5.198e-013, alpha 1.934, combined = 7.695e-014 rroots = 0
- Sat Dec 17 05:57:08 2016
- Sat Dec 17 05:57:08 2016 commencing relation filtering
- Sat Dec 17 05:57:08 2016 setting target matrix density to 130.0
- Sat Dec 17 05:57:08 2016 estimated available RAM is 12241.4 MB
- Sat Dec 17 05:57:08 2016 commencing duplicate removal, pass 1
- Sat Dec 17 06:32:46 2016 error -1 reading relation 229865789
- Sat Dec 17 06:32:46 2016 error -1 reading relation 229865790
- Sat Dec 17 06:38:31 2016 error -1 reading relation 267055569
- Sat Dec 17 06:38:31 2016 error -1 reading relation 267055570
- Sat Dec 17 06:54:58 2016 error -15 reading relation 373730066
- Sat Dec 17 07:01:46 2016 error -1 reading relation 418442467
- Sat Dec 17 07:01:46 2016 error -1 reading relation 418442468
- Sat Dec 17 07:01:46 2016 error -1 reading relation 418461132
- Sat Dec 17 07:01:46 2016 error -1 reading relation 418461133
- Sat Dec 17 07:01:46 2016 error -1 reading relation 418461134
- Sat Dec 17 07:01:46 2016 error -11 reading relation 418461135
- Sat Dec 17 07:01:46 2016 error -1 reading relation 418461136
- Sat Dec 17 07:01:46 2016 error -1 reading relation 418461137
- <<<<< Lots of truncated read errors >>>>>
- Sat Dec 17 07:01:51 2016 error -11 reading relation 418714613
- Sat Dec 17 07:01:51 2016 error -11 reading relation 418714614
- Sat Dec 17 07:01:51 2016 error -1 reading relation 418714615
- Sat Dec 17 07:03:03 2016 skipped 98 relations with b > 2^32
- Sat Dec 17 07:03:03 2016 found 77827670 hash collisions in 426604091 relations
- Sat Dec 17 07:03:31 2016 added 1218529 free relations
- Sat Dec 17 07:03:31 2016 commencing duplicate removal, pass 2
- Sat Dec 17 07:10:45 2016 found 63599256 duplicates and 364223364 unique relations
- Sat Dec 17 07:10:45 2016 memory use: 2387.0 MB
- Sat Dec 17 07:10:45 2016 reading ideals above 431816704
- Sat Dec 17 07:10:45 2016 commencing singleton removal, initial pass
- Sat Dec 17 08:12:53 2016 memory use: 6024.0 MB
- Sat Dec 17 08:12:53 2016 reading all ideals from disk
- Sat Dec 17 08:13:39 2016 memory use: 5806.6 MB
- Sat Dec 17 08:13:50 2016 commencing in-memory singleton removal
- Sat Dec 17 08:14:01 2016 begin with 364223364 relations and 290964349 unique ideals
- Sat Dec 17 08:15:55 2016 reduce to 230191548 relations and 142611575 ideals in 13 passes
- Sat Dec 17 08:15:55 2016 max relations containing the same ideal: 36
- Sat Dec 17 08:16:10 2016 reading ideals above 720000
- Sat Dec 17 08:16:11 2016 commencing singleton removal, initial pass
- Sat Dec 17 09:06:03 2016 memory use: 5512.0 MB
- Sat Dec 17 09:06:03 2016 reading large ideals from disk
- Sat Dec 17 09:10:43 2016 keeping 171181341 ideals with weight <= 20, target excess is 17277678
- Sat Dec 17 09:20:53 2016 memory use: 7099.1 MB
- Sat Dec 17 09:20:53 2016 commencing in-memory singleton removal
- Sat Dec 17 09:21:04 2016 begin with 230191548 relations and 171181341 unique ideals
- Sat Dec 17 09:23:24 2016 reduce to 229964520 relations and 170954273 ideals in 12 passes
- Sat Dec 17 09:23:24 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:24:32 2016 removing 12780887 relations and 10780887 ideals in 2000000 cliques
- Sat Dec 17 09:24:36 2016 commencing in-memory singleton removal
- Sat Dec 17 09:24:45 2016 begin with 217183633 relations and 170954273 unique ideals
- Sat Dec 17 09:26:23 2016 reduce to 216638389 relations and 159621805 ideals in 9 passes
- Sat Dec 17 09:26:23 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:27:27 2016 removing 9531400 relations and 7531400 ideals in 2000000 cliques
- Sat Dec 17 09:27:30 2016 commencing in-memory singleton removal
- Sat Dec 17 09:27:39 2016 begin with 207106989 relations and 159621805 unique ideals
- Sat Dec 17 09:29:01 2016 reduce to 206757104 relations and 151736909 ideals in 8 passes
- Sat Dec 17 09:29:01 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:30:02 2016 removing 8513918 relations and 6513918 ideals in 2000000 cliques
- Sat Dec 17 09:30:05 2016 commencing in-memory singleton removal
- Sat Dec 17 09:30:14 2016 begin with 198243186 relations and 151736909 unique ideals
- Sat Dec 17 09:31:22 2016 reduce to 197945254 relations and 144922128 ideals in 7 passes
- Sat Dec 17 09:31:22 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:32:20 2016 removing 7967554 relations and 5967554 ideals in 2000000 cliques
- Sat Dec 17 09:32:23 2016 commencing in-memory singleton removal
- Sat Dec 17 09:32:31 2016 begin with 189977700 relations and 144922128 unique ideals
- Sat Dec 17 09:33:35 2016 reduce to 189705911 relations and 138680070 ideals in 7 passes
- Sat Dec 17 09:33:35 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:34:30 2016 removing 7603971 relations and 5603971 ideals in 2000000 cliques
- Sat Dec 17 09:34:33 2016 commencing in-memory singleton removal
- Sat Dec 17 09:34:41 2016 begin with 182101940 relations and 138680070 unique ideals
- Sat Dec 17 09:35:42 2016 reduce to 181846472 relations and 132818018 ideals in 7 passes
- Sat Dec 17 09:35:42 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:36:34 2016 removing 7356548 relations and 5356548 ideals in 2000000 cliques
- Sat Dec 17 09:36:37 2016 commencing in-memory singleton removal
- Sat Dec 17 09:36:44 2016 begin with 174489924 relations and 132818018 unique ideals
- Sat Dec 17 09:37:41 2016 reduce to 174245524 relations and 127214441 ideals in 7 passes
- Sat Dec 17 09:37:41 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:38:32 2016 removing 7147043 relations and 5147043 ideals in 2000000 cliques
- Sat Dec 17 09:38:35 2016 commencing in-memory singleton removal
- Sat Dec 17 09:38:42 2016 begin with 167098481 relations and 127214441 unique ideals
- Sat Dec 17 09:39:36 2016 reduce to 166859073 relations and 121825296 ideals in 7 passes
- Sat Dec 17 09:39:36 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:40:24 2016 removing 7009963 relations and 5009963 ideals in 2000000 cliques
- Sat Dec 17 09:40:26 2016 commencing in-memory singleton removal
- Sat Dec 17 09:40:33 2016 begin with 159849110 relations and 121825296 unique ideals
- Sat Dec 17 09:41:24 2016 reduce to 159615251 relations and 116578825 ideals in 7 passes
- Sat Dec 17 09:41:24 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:42:10 2016 removing 6887826 relations and 4887826 ideals in 2000000 cliques
- Sat Dec 17 09:42:13 2016 commencing in-memory singleton removal
- Sat Dec 17 09:42:19 2016 begin with 152727425 relations and 116578825 unique ideals
- Sat Dec 17 09:43:08 2016 reduce to 152492953 relations and 111453744 ideals in 7 passes
- Sat Dec 17 09:43:08 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:43:51 2016 removing 6772554 relations and 4772554 ideals in 2000000 cliques
- Sat Dec 17 09:43:53 2016 commencing in-memory singleton removal
- Sat Dec 17 09:43:59 2016 begin with 145720399 relations and 111453744 unique ideals
- Sat Dec 17 09:44:39 2016 reduce to 145484041 relations and 106441938 ideals in 6 passes
- Sat Dec 17 09:44:39 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:45:21 2016 removing 6696654 relations and 4696654 ideals in 2000000 cliques
- Sat Dec 17 09:45:23 2016 commencing in-memory singleton removal
- Sat Dec 17 09:45:29 2016 begin with 138787387 relations and 106441938 unique ideals
- Sat Dec 17 09:46:12 2016 reduce to 138552459 relations and 101507251 ideals in 7 passes
- Sat Dec 17 09:46:12 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:46:51 2016 removing 6626918 relations and 4626918 ideals in 2000000 cliques
- Sat Dec 17 09:46:54 2016 commencing in-memory singleton removal
- Sat Dec 17 09:46:59 2016 begin with 131925541 relations and 101507251 unique ideals
- Sat Dec 17 09:47:40 2016 reduce to 131686611 relations and 96638020 ideals in 7 passes
- Sat Dec 17 09:47:40 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:48:17 2016 removing 6560835 relations and 4560835 ideals in 2000000 cliques
- Sat Dec 17 09:48:19 2016 commencing in-memory singleton removal
- Sat Dec 17 09:48:24 2016 begin with 125125776 relations and 96638020 unique ideals
- Sat Dec 17 09:49:03 2016 reduce to 124879411 relations and 91827134 ideals in 7 passes
- Sat Dec 17 09:49:03 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:49:37 2016 removing 6521448 relations and 4521448 ideals in 2000000 cliques
- Sat Dec 17 09:49:39 2016 commencing in-memory singleton removal
- Sat Dec 17 09:49:44 2016 begin with 118357963 relations and 91827134 unique ideals
- Sat Dec 17 09:50:15 2016 reduce to 118102387 relations and 87046154 ideals in 6 passes
- Sat Dec 17 09:50:15 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:50:47 2016 removing 6475466 relations and 4475466 ideals in 2000000 cliques
- Sat Dec 17 09:50:50 2016 commencing in-memory singleton removal
- Sat Dec 17 09:50:54 2016 begin with 111626921 relations and 87046154 unique ideals
- Sat Dec 17 09:51:27 2016 reduce to 111360937 relations and 82300444 ideals in 7 passes
- Sat Dec 17 09:51:27 2016 max relations containing the same ideal: 20
- Sat Dec 17 09:51:58 2016 removing 6450852 relations and 4450852 ideals in 2000000 cliques
- Sat Dec 17 09:52:00 2016 commencing in-memory singleton removal
- Sat Dec 17 09:52:04 2016 begin with 104910085 relations and 82300444 unique ideals
- Sat Dec 17 09:52:35 2016 reduce to 104626796 relations and 77561331 ideals in 7 passes
- Sat Dec 17 09:52:35 2016 max relations containing the same ideal: 19
- Sat Dec 17 09:53:03 2016 removing 6453697 relations and 4453697 ideals in 2000000 cliques
- Sat Dec 17 09:53:06 2016 commencing in-memory singleton removal
- Sat Dec 17 09:53:09 2016 begin with 98173099 relations and 77561331 unique ideals
- Sat Dec 17 09:53:38 2016 reduce to 97872678 relations and 72801543 ideals in 7 passes
- Sat Dec 17 09:53:38 2016 max relations containing the same ideal: 19
- Sat Dec 17 09:54:04 2016 removing 6439547 relations and 4439547 ideals in 2000000 cliques
- Sat Dec 17 09:54:07 2016 commencing in-memory singleton removal
- Sat Dec 17 09:54:10 2016 begin with 91433131 relations and 72801543 unique ideals
- Sat Dec 17 09:54:36 2016 reduce to 91106469 relations and 68028945 ideals in 7 passes
- Sat Dec 17 09:54:36 2016 max relations containing the same ideal: 19
- Sat Dec 17 09:55:01 2016 removing 6434401 relations and 4434401 ideals in 2000000 cliques
- Sat Dec 17 09:55:03 2016 commencing in-memory singleton removal
- Sat Dec 17 09:55:06 2016 begin with 84672068 relations and 68028945 unique ideals
- Sat Dec 17 09:55:33 2016 reduce to 84300306 relations and 63214909 ideals in 8 passes
- Sat Dec 17 09:55:33 2016 max relations containing the same ideal: 18
- Sat Dec 17 09:55:56 2016 removing 3660958 relations and 2617668 ideals in 1043290 cliques
- Sat Dec 17 09:55:57 2016 commencing in-memory singleton removal
- Sat Dec 17 09:56:00 2016 begin with 80639348 relations and 63214909 unique ideals
- Sat Dec 17 09:56:23 2016 reduce to 80493117 relations and 60449063 ideals in 7 passes
- Sat Dec 17 09:56:23 2016 max relations containing the same ideal: 18
- Sat Dec 17 09:56:48 2016 relations with 0 large ideals: 2442574
- Sat Dec 17 09:56:48 2016 relations with 1 large ideals: 11238468
- Sat Dec 17 09:56:48 2016 relations with 2 large ideals: 24440658
- Sat Dec 17 09:56:48 2016 relations with 3 large ideals: 25207480
- Sat Dec 17 09:56:48 2016 relations with 4 large ideals: 12917259
- Sat Dec 17 09:56:48 2016 relations with 5 large ideals: 3461035
- Sat Dec 17 09:56:48 2016 relations with 6 large ideals: 603834
- Sat Dec 17 09:56:48 2016 relations with 7+ large ideals: 181809
- Sat Dec 17 09:56:48 2016 commencing 2-way merge
- Sat Dec 17 09:57:19 2016 reduce to 52873803 relation sets and 32829749 unique ideals
- Sat Dec 17 09:57:19 2016 commencing full merge
- Sat Dec 17 10:05:02 2016 memory use: 2901.9 MB
- Sat Dec 17 10:05:08 2016 found 23178305 cycles, need 21287949
- Sat Dec 17 10:05:10 2016 weight of 21287949 cycles is about 2767847763 (130.02/cycle)
- Sat Dec 17 10:05:10 2016 distribution of cycle lengths:
- Sat Dec 17 10:05:10 2016 1 relations: 2488929
- Sat Dec 17 10:05:10 2016 2 relations: 1163189
- Sat Dec 17 10:05:10 2016 3 relations: 1106152
- Sat Dec 17 10:05:10 2016 4 relations: 1101446
- Sat Dec 17 10:05:10 2016 5 relations: 1139042
- Sat Dec 17 10:05:10 2016 6 relations: 1150710
- Sat Dec 17 10:05:10 2016 7 relations: 1165279
- Sat Dec 17 10:05:10 2016 8 relations: 1164393
- Sat Dec 17 10:05:10 2016 9 relations: 1153609
- Sat Dec 17 10:05:10 2016 10+ relations: 9655200
- Sat Dec 17 10:05:10 2016 heaviest cycle: 25 relations
- Sat Dec 17 10:05:11 2016 commencing cycle optimization
- Sat Dec 17 10:05:49 2016 start with 193987597 relations
- Sat Dec 17 10:15:44 2016 pruned 13945501 relations
- Sat Dec 17 10:15:44 2016 memory use: 4865.8 MB
- Sat Dec 17 10:15:44 2016 distribution of cycle lengths:
- Sat Dec 17 10:15:44 2016 1 relations: 2488929
- Sat Dec 17 10:15:44 2016 2 relations: 1209555
- Sat Dec 17 10:15:44 2016 3 relations: 1176768
- Sat Dec 17 10:15:44 2016 4 relations: 1185310
- Sat Dec 17 10:15:44 2016 5 relations: 1246445
- Sat Dec 17 10:15:44 2016 6 relations: 1267790
- Sat Dec 17 10:15:44 2016 7 relations: 1299413
- Sat Dec 17 10:15:44 2016 8 relations: 1297999
- Sat Dec 17 10:15:44 2016 9 relations: 1290408
- Sat Dec 17 10:15:44 2016 10+ relations: 8825332
- Sat Dec 17 10:15:44 2016 heaviest cycle: 25 relations
- Sat Dec 17 10:16:44 2016 RelProcTime: 15576
- Sat Dec 17 10:16:44 2016
- Sat Dec 17 10:16:44 2016 commencing linear algebra
- Sat Dec 17 10:16:48 2016 read 21287949 cycles
- Sat Dec 17 10:17:34 2016 cycles contain 71091434 unique relations
- Sat Dec 17 10:30:10 2016 read 71091434 relations
- Sat Dec 17 10:32:34 2016 using 20 quadratic characters above 4294917296
- Sat Dec 17 10:38:09 2016 building initial matrix
- Sat Dec 17 10:54:14 2016 memory use: 9066.3 MB
- Sat Dec 17 10:57:20 2016 read 21287949 cycles
- Sat Dec 17 11:04:54 2016 matrix is 21287468 x 21287949 (10272.9 MB) with weight 2894646882 (135.98/col)
- Sat Dec 17 11:04:54 2016 sparse part has weight 2458811934 (115.50/col)
- Sat Dec 17 11:26:59 2016 filtering completed in 2 passes
- Sat Dec 17 11:27:05 2016 matrix is 21276827 x 21277027 (10270.5 MB) with weight 2893938191 (136.01/col)
- Sat Dec 17 11:27:05 2016 sparse part has weight 2458312443 (115.54/col)
- Sat Dec 17 12:36:58 2016 matrix starts at (0, 0)
- Sat Dec 17 12:37:04 2016 matrix is 21276827 x 21277027 (10270.5 MB) with weight 2893938191 (136.01/col)
- Sat Dec 17 12:37:04 2016 sparse part has weight 2458312443 (115.54/col)
- Sat Dec 17 12:37:04 2016 saving the first 48 matrix rows for later
- Sat Dec 17 12:52:56 2016 matrix includes 64 packed rows
- Sat Dec 17 13:09:22 2016 matrix is 21276779 x 21277027 (9807.4 MB) with weight 2515201125 (118.21/col)
- Sat Dec 17 13:09:22 2016 sparse part has weight 2358175097 (110.83/col)
- Sat Dec 17 13:09:23 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sat Dec 17 13:55:47 2016 commencing Lanczos iteration (6 threads)
- Sat Dec 17 13:55:51 2016 memory use: 8471.0 MB
- Sat Dec 17 14:21:42 2016 linear algebra at 0.0%, ETA 1161h 0m
- Sat Dec 17 14:22:34 2016 checkpointing every 30000 dimensions
- Wed Jan 11 17:56:50 2017 lanczos halted after 336462 iterations (dim = 21276775)
- Wed Jan 11 17:59:09 2017 recovered 39 nontrivial dependencies
- Wed Jan 11 18:09:07 2017 BLanczosTime: 2188343
- Wed Jan 11 18:09:07 2017
- Wed Jan 11 18:09:07 2017 commencing square root phase
- Wed Jan 11 18:09:08 2017 handling dependencies 1 to 64
- Wed Jan 11 18:09:08 2017 reading relations for dependency 1
- Wed Jan 11 18:09:25 2017 read 10641739 cycles
- Wed Jan 11 18:09:46 2017 cycles contain 35536688 unique relations
- Wed Jan 11 18:18:59 2017 read 35536688 relations
- Wed Jan 11 18:22:24 2017 multiplying 35536688 relations
- Wed Jan 11 18:58:30 2017 multiply complete, coefficients have about 972.49 million bits
- Wed Jan 11 18:58:42 2017 initial square root is modulo 530508973
- Wed Jan 11 19:43:16 2017 GCD is 1, no factor found
- Wed Jan 11 19:43:16 2017 reading relations for dependency 2
- Wed Jan 11 19:43:21 2017 read 10637976 cycles
- Wed Jan 11 19:43:42 2017 cycles contain 35541336 unique relations
- Wed Jan 11 19:52:27 2017 read 35541336 relations
- Wed Jan 11 19:55:50 2017 multiplying 35541336 relations
- Wed Jan 11 20:31:58 2017 multiply complete, coefficients have about 972.62 million bits
- Wed Jan 11 20:32:11 2017 initial square root is modulo 531888901
- Wed Jan 11 21:16:57 2017 GCD is 1, no factor found
- Wed Jan 11 21:16:57 2017 reading relations for dependency 3
- Wed Jan 11 21:18:23 2017 read 10640049 cycles
- Wed Jan 11 21:18:45 2017 cycles contain 35548146 unique relations
- Wed Jan 11 21:27:06 2017 read 35548146 relations
- Wed Jan 11 21:30:29 2017 multiplying 35548146 relations
- Wed Jan 11 22:06:37 2017 multiply complete, coefficients have about 972.80 million bits
- Wed Jan 11 22:06:49 2017 initial square root is modulo 533883139
- Wed Jan 11 22:51:37 2017 GCD is N, no factor found
- Wed Jan 11 22:51:37 2017 reading relations for dependency 4
- Wed Jan 11 22:52:00 2017 read 10639312 cycles
- Wed Jan 11 22:52:21 2017 cycles contain 35541202 unique relations
- Wed Jan 11 23:00:44 2017 read 35541202 relations
- Wed Jan 11 23:04:07 2017 multiplying 35541202 relations
- Wed Jan 11 23:40:14 2017 multiply complete, coefficients have about 972.62 million bits
- Wed Jan 11 23:40:26 2017 initial square root is modulo 531884191
- Thu Jan 12 00:24:42 2017 sqrtTime: 22535
- Thu Jan 12 00:24:42 2017 prp75 factor: 139709832089514662716934860196942078349011590443455720471980872603618418559
- Thu Jan 12 00:24:42 2017 prp117 factor: 875393327935842936941980169983745848311995991208520724560123589147999362485173744957503892747393159821303128819147523
- Thu Jan 12 00:24:42 2017 elapsed time 618:27:35

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