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- Thu Nov 01 18:56:19 2012
- Thu Nov 01 18:56:19 2012
- Thu Nov 01 18:56:19 2012 Msieve v. 1.50 (SVN Official Release)
- Thu Nov 01 18:56:19 2012 random seeds: c651bd98 34f26ab4
- Thu Nov 01 18:56:19 2012 factoring 4710552152747563463872596840777955821634064920481799928959981126398492836898818575147910543072763143875219550145120470837768902675153132325984429698414868616459972499234015916451717 (181 digits)
- Thu Nov 01 18:56:20 2012 searching for 15-digit factors
- Thu Nov 01 18:56:20 2012 commencing number field sieve (181-digit input)
- Thu Nov 01 18:56:20 2012 R0: -46820107441205570339177226914379002
- Thu Nov 01 18:56:20 2012 R1: 216379544877064501
- Thu Nov 01 18:56:20 2012 A0: -1
- Thu Nov 01 18:56:20 2012 A1: 3
- Thu Nov 01 18:56:20 2012 A2: 6
- Thu Nov 01 18:56:20 2012 A3: -4
- Thu Nov 01 18:56:20 2012 A4: -5
- Thu Nov 01 18:56:20 2012 A5: 1
- Thu Nov 01 18:56:20 2012 A6: 1
- Thu Nov 01 18:56:20 2012 skew 1.00, size 3.293e-010, alpha 3.126, combined = 7.608e-012 rroots = 6
- Thu Nov 01 18:56:20 2012
- Thu Nov 01 18:56:20 2012 commencing relation filtering
- Thu Nov 01 18:56:20 2012 estimated available RAM is 12286.5 MB
- Thu Nov 01 18:56:20 2012 commencing duplicate removal, pass 1
- Thu Nov 01 19:00:23 2012 error -15 reading relation 41158314
- Thu Nov 01 19:01:13 2012 error -9 reading relation 50166204
- Thu Nov 01 19:01:20 2012 error -9 reading relation 51721448
- Thu Nov 01 19:02:37 2012 skipped 4 relations with b > 2^32
- Thu Nov 01 19:02:37 2012 found 8771627 hash collisions in 63485937 relations
- Thu Nov 01 19:02:51 2012 added 2438357 free relations
- Thu Nov 01 19:02:51 2012 commencing duplicate removal, pass 2
- Thu Nov 01 19:03:16 2012 found 8417404 duplicates and 57506890 unique relations
- Thu Nov 01 19:03:16 2012 memory use: 277.2 MB
- Thu Nov 01 19:03:16 2012 reading ideals above 30081024
- Thu Nov 01 19:03:16 2012 commencing singleton removal, initial pass
- Thu Nov 01 19:10:14 2012 memory use: 1378.0 MB
- Thu Nov 01 19:10:14 2012 reading all ideals from disk
- Thu Nov 01 19:10:14 2012 memory use: 1044.3 MB
- Thu Nov 01 19:10:16 2012 commencing in-memory singleton removal
- Thu Nov 01 19:10:19 2012 begin with 57506890 relations and 44850992 unique ideals
- Thu Nov 01 19:10:39 2012 reduce to 41734822 relations and 27706871 ideals in 11 passes
- Thu Nov 01 19:10:39 2012 max relations containing the same ideal: 38
- Thu Nov 01 19:10:43 2012 reading ideals above 720000
- Thu Nov 01 19:10:43 2012 commencing singleton removal, initial pass
- Thu Nov 01 19:16:34 2012 memory use: 753.0 MB
- Thu Nov 01 19:16:34 2012 reading all ideals from disk
- Thu Nov 01 19:16:35 2012 memory use: 1470.1 MB
- Thu Nov 01 19:16:38 2012 keeping 31218260 ideals with weight <= 200, target excess is 213781
- Thu Nov 01 19:16:42 2012 commencing in-memory singleton removal
- Thu Nov 01 19:16:45 2012 begin with 41734822 relations and 31218260 unique ideals
- Thu Nov 01 19:16:51 2012 reduce to 41734817 relations and 31218255 ideals in 2 passes
- Thu Nov 01 19:16:51 2012 max relations containing the same ideal: 200
- Thu Nov 01 19:17:06 2012 removing 7392001 relations and 5392001 ideals in 2000000 cliques
- Thu Nov 01 19:17:08 2012 commencing in-memory singleton removal
- Thu Nov 01 19:17:11 2012 begin with 34342816 relations and 31218255 unique ideals
- Thu Nov 01 19:17:33 2012 reduce to 33431338 relations and 24860966 ideals in 9 passes
- Thu Nov 01 19:17:33 2012 max relations containing the same ideal: 182
- Thu Nov 01 19:17:45 2012 removing 5808972 relations and 3808972 ideals in 2000000 cliques
- Thu Nov 01 19:17:47 2012 commencing in-memory singleton removal
- Thu Nov 01 19:17:49 2012 begin with 27622366 relations and 24860966 unique ideals
- Thu Nov 01 19:18:06 2012 reduce to 26999015 relations and 20392304 ideals in 9 passes
- Thu Nov 01 19:18:06 2012 max relations containing the same ideal: 157
- Thu Nov 01 19:18:16 2012 removing 5213774 relations and 3213774 ideals in 2000000 cliques
- Thu Nov 01 19:18:17 2012 commencing in-memory singleton removal
- Thu Nov 01 19:18:19 2012 begin with 21785241 relations and 20392304 unique ideals
- Thu Nov 01 19:18:29 2012 reduce to 21112766 relations and 16456481 ideals in 7 passes
- Thu Nov 01 19:18:29 2012 max relations containing the same ideal: 135
- Thu Nov 01 19:18:37 2012 removing 4957926 relations and 2957926 ideals in 2000000 cliques
- Thu Nov 01 19:18:38 2012 commencing in-memory singleton removal
- Thu Nov 01 19:18:39 2012 begin with 16154840 relations and 16456481 unique ideals
- Thu Nov 01 19:18:47 2012 reduce to 15422603 relations and 12698767 ideals in 8 passes
- Thu Nov 01 19:18:47 2012 max relations containing the same ideal: 107
- Thu Nov 01 19:18:53 2012 removing 4824800 relations and 2824800 ideals in 2000000 cliques
- Thu Nov 01 19:18:54 2012 commencing in-memory singleton removal
- Thu Nov 01 19:18:55 2012 begin with 10597803 relations and 12698767 unique ideals
- Thu Nov 01 19:19:00 2012 reduce to 9756134 relations and 8925203 ideals in 9 passes
- Thu Nov 01 19:19:00 2012 max relations containing the same ideal: 77
- Thu Nov 01 19:19:04 2012 removing 1814745 relations and 1231800 ideals in 582945 cliques
- Thu Nov 01 19:19:04 2012 commencing in-memory singleton removal
- Thu Nov 01 19:19:05 2012 begin with 7941389 relations and 8925203 unique ideals
- Thu Nov 01 19:19:08 2012 reduce to 7684028 relations and 7419274 ideals in 7 passes
- Thu Nov 01 19:19:08 2012 max relations containing the same ideal: 66
- Thu Nov 01 19:19:11 2012 removing 97292 relations and 80524 ideals in 16768 cliques
- Thu Nov 01 19:19:11 2012 commencing in-memory singleton removal
- Thu Nov 01 19:19:11 2012 begin with 7586736 relations and 7419274 unique ideals
- Thu Nov 01 19:19:13 2012 reduce to 7586010 relations and 7338022 ideals in 4 passes
- Thu Nov 01 19:19:13 2012 max relations containing the same ideal: 66
- Thu Nov 01 19:19:14 2012 relations with 0 large ideals: 15475
- Thu Nov 01 19:19:14 2012 relations with 1 large ideals: 4646
- Thu Nov 01 19:19:14 2012 relations with 2 large ideals: 29201
- Thu Nov 01 19:19:14 2012 relations with 3 large ideals: 187985
- Thu Nov 01 19:19:14 2012 relations with 4 large ideals: 669578
- Thu Nov 01 19:19:14 2012 relations with 5 large ideals: 1435365
- Thu Nov 01 19:19:15 2012 relations with 6 large ideals: 1955437
- Thu Nov 01 19:19:15 2012 relations with 7+ large ideals: 3288323
- Thu Nov 01 19:19:15 2012 commencing 2-way merge
- Thu Nov 01 19:19:18 2012 reduce to 5436170 relation sets and 5188182 unique ideals
- Thu Nov 01 19:19:18 2012 commencing full merge
- Thu Nov 01 19:20:32 2012 memory use: 691.1 MB
- Thu Nov 01 19:20:33 2012 found 2887710 cycles, need 2854382
- Thu Nov 01 19:20:33 2012 weight of 2854382 cycles is about 199813045 (70.00/cycle)
- Thu Nov 01 19:20:33 2012 distribution of cycle lengths:
- Thu Nov 01 19:20:33 2012 1 relations: 264467
- Thu Nov 01 19:20:33 2012 2 relations: 324537
- Thu Nov 01 19:20:33 2012 3 relations: 357218
- Thu Nov 01 19:20:33 2012 4 relations: 343625
- Thu Nov 01 19:20:33 2012 5 relations: 313895
- Thu Nov 01 19:20:33 2012 6 relations: 272356
- Thu Nov 01 19:20:33 2012 7 relations: 226664
- Thu Nov 01 19:20:33 2012 8 relations: 184311
- Thu Nov 01 19:20:33 2012 9 relations: 146871
- Thu Nov 01 19:20:33 2012 10+ relations: 420438
- Thu Nov 01 19:20:33 2012 heaviest cycle: 21 relations
- Thu Nov 01 19:20:33 2012 commencing cycle optimization
- Thu Nov 01 19:20:36 2012 start with 16063552 relations
- Thu Nov 01 19:20:59 2012 pruned 551854 relations
- Thu Nov 01 19:20:59 2012 memory use: 482.5 MB
- Thu Nov 01 19:20:59 2012 distribution of cycle lengths:
- Thu Nov 01 19:20:59 2012 1 relations: 264467
- Thu Nov 01 19:20:59 2012 2 relations: 331164
- Thu Nov 01 19:20:59 2012 3 relations: 371225
- Thu Nov 01 19:20:59 2012 4 relations: 355665
- Thu Nov 01 19:20:59 2012 5 relations: 327112
- Thu Nov 01 19:20:59 2012 6 relations: 280475
- Thu Nov 01 19:20:59 2012 7 relations: 232138
- Thu Nov 01 19:20:59 2012 8 relations: 184027
- Thu Nov 01 19:20:59 2012 9 relations: 144019
- Thu Nov 01 19:20:59 2012 10+ relations: 364090
- Thu Nov 01 19:20:59 2012 heaviest cycle: 20 relations
- Thu Nov 01 19:21:01 2012 RelProcTime: 1481
- Thu Nov 01 19:21:01 2012
- Thu Nov 01 19:21:01 2012 commencing linear algebra
- Thu Nov 01 19:21:01 2012 read 2854382 cycles
- Thu Nov 01 19:21:05 2012 cycles contain 7472201 unique relations
- Thu Nov 01 19:22:01 2012 read 7472201 relations
- Thu Nov 01 19:22:10 2012 using 20 quadratic characters above 536870880
- Thu Nov 01 19:22:41 2012 building initial matrix
- Thu Nov 01 19:23:56 2012 memory use: 958.8 MB
- Thu Nov 01 19:23:58 2012 read 2854382 cycles
- Thu Nov 01 19:23:59 2012 matrix is 2854205 x 2854382 (838.6 MB) with weight 242638921 (85.01/col)
- Thu Nov 01 19:23:59 2012 sparse part has weight 191290604 (67.02/col)
- Thu Nov 01 19:24:19 2012 filtering completed in 2 passes
- Thu Nov 01 19:24:20 2012 matrix is 2853736 x 2853913 (838.6 MB) with weight 242625030 (85.01/col)
- Thu Nov 01 19:24:20 2012 sparse part has weight 191284954 (67.03/col)
- Thu Nov 01 19:24:26 2012 matrix starts at (0, 0)
- Thu Nov 01 19:24:27 2012 matrix is 2853736 x 2853913 (838.6 MB) with weight 242625030 (85.01/col)
- Thu Nov 01 19:24:27 2012 sparse part has weight 191284954 (67.03/col)
- Thu Nov 01 19:24:27 2012 saving the first 48 matrix rows for later
- Thu Nov 01 19:24:28 2012 matrix includes 64 packed rows
- Thu Nov 01 19:24:28 2012 matrix is 2853688 x 2853913 (803.9 MB) with weight 195395920 (68.47/col)
- Thu Nov 01 19:24:28 2012 sparse part has weight 182193799 (63.84/col)
- Thu Nov 01 19:24:28 2012 using block size 65536 for processor cache size 12288 kB
- Thu Nov 01 19:24:37 2012 commencing Lanczos iteration (6 threads)
- Thu Nov 01 19:24:37 2012 memory use: 760.8 MB
- Thu Nov 01 19:24:51 2012 linear algebra at 0.1%, ETA 6h46m
- Thu Nov 01 19:24:55 2012 checkpointing every 430000 dimensions
- Fri Nov 02 08:36:57 2012
- Fri Nov 02 08:36:57 2012
- Fri Nov 02 08:36:57 2012 Msieve v. 1.50 (SVN Official Release)
- Fri Nov 02 08:36:57 2012 random seeds: e9e419e0 452c06d9
- Fri Nov 02 08:36:57 2012 factoring 4710552152747563463872596840777955821634064920481799928959981126398492836898818575147910543072763143875219550145120470837768902675153132325984429698414868616459972499234015916451717 (181 digits)
- Fri Nov 02 08:36:58 2012 searching for 15-digit factors
- Fri Nov 02 08:36:59 2012 commencing number field sieve (181-digit input)
- Fri Nov 02 08:36:59 2012 R0: -46820107441205570339177226914379002
- Fri Nov 02 08:36:59 2012 R1: 216379544877064501
- Fri Nov 02 08:36:59 2012 A0: -1
- Fri Nov 02 08:36:59 2012 A1: 3
- Fri Nov 02 08:36:59 2012 A2: 6
- Fri Nov 02 08:36:59 2012 A3: -4
- Fri Nov 02 08:36:59 2012 A4: -5
- Fri Nov 02 08:36:59 2012 A5: 1
- Fri Nov 02 08:36:59 2012 A6: 1
- Fri Nov 02 08:36:59 2012 skew 1.00, size 3.293e-010, alpha 3.126, combined = 7.608e-012 rroots = 6
- Fri Nov 02 08:36:59 2012
- Fri Nov 02 08:36:59 2012 commencing linear algebra
- Fri Nov 02 08:37:06 2012 matrix starts at (0, 0)
- Fri Nov 02 08:37:06 2012 matrix is 2853736 x 2853913 (838.6 MB) with weight 242625030 (85.01/col)
- Fri Nov 02 08:37:06 2012 sparse part has weight 191284954 (67.03/col)
- Fri Nov 02 08:37:06 2012 saving the first 48 matrix rows for later
- Fri Nov 02 08:37:07 2012 matrix includes 64 packed rows
- Fri Nov 02 08:37:07 2012 matrix is 2853688 x 2853913 (803.9 MB) with weight 195395920 (68.47/col)
- Fri Nov 02 08:37:07 2012 sparse part has weight 182193799 (63.84/col)
- Fri Nov 02 08:37:07 2012 using block size 65536 for processor cache size 12288 kB
- Fri Nov 02 08:38:05 2012
- Fri Nov 02 08:38:05 2012
- Fri Nov 02 08:38:05 2012 Msieve v. 1.50 (SVN Official Release)
- Fri Nov 02 08:38:05 2012 random seeds: 1f977480 73795e2f
- Fri Nov 02 08:38:05 2012 factoring 4710552152747563463872596840777955821634064920481799928959981126398492836898818575147910543072763143875219550145120470837768902675153132325984429698414868616459972499234015916451717 (181 digits)
- Fri Nov 02 08:38:06 2012 searching for 15-digit factors
- Fri Nov 02 08:38:06 2012 commencing number field sieve (181-digit input)
- Fri Nov 02 08:38:06 2012 R0: -46820107441205570339177226914379002
- Fri Nov 02 08:38:06 2012 R1: 216379544877064501
- Fri Nov 02 08:38:06 2012 A0: -1
- Fri Nov 02 08:38:06 2012 A1: 3
- Fri Nov 02 08:38:06 2012 A2: 6
- Fri Nov 02 08:38:06 2012 A3: -4
- Fri Nov 02 08:38:06 2012 A4: -5
- Fri Nov 02 08:38:06 2012 A5: 1
- Fri Nov 02 08:38:06 2012 A6: 1
- Fri Nov 02 08:38:06 2012 skew 1.00, size 3.293e-010, alpha 3.126, combined = 7.608e-012 rroots = 6
- Fri Nov 02 08:38:06 2012
- Fri Nov 02 08:38:06 2012 commencing linear algebra
- Fri Nov 02 08:38:08 2012 matrix starts at (0, 0)
- Fri Nov 02 08:38:08 2012 matrix is 2853736 x 2853913 (838.6 MB) with weight 242625030 (85.01/col)
- Fri Nov 02 08:38:08 2012 sparse part has weight 191284954 (67.03/col)
- Fri Nov 02 08:38:08 2012 saving the first 48 matrix rows for later
- Fri Nov 02 08:38:09 2012 matrix includes 64 packed rows
- Fri Nov 02 08:38:09 2012 matrix is 2853688 x 2853913 (803.9 MB) with weight 195395920 (68.47/col)
- Fri Nov 02 08:38:09 2012 sparse part has weight 182193799 (63.84/col)
- Fri Nov 02 08:38:09 2012 using block size 65536 for processor cache size 12288 kB
- Fri Nov 02 08:38:19 2012 commencing Lanczos iteration (12 threads)
- Fri Nov 02 08:38:19 2012 memory use: 891.5 MB
- Fri Nov 02 08:38:20 2012 restarting at iteration 13601 (dim = 860062)
- Fri Nov 02 08:38:34 2012 linear algebra at 30.2%, ETA 5h 5m
- Fri Nov 02 08:38:38 2012 checkpointing every 400000 dimensions
- Fri Nov 02 08:39:58 2012
- Fri Nov 02 08:39:58 2012
- Fri Nov 02 08:39:58 2012 Msieve v. 1.50 (SVN Official Release)
- Fri Nov 02 08:39:58 2012 random seeds: 42e56cec 69999fe0
- Fri Nov 02 08:39:58 2012 factoring 4710552152747563463872596840777955821634064920481799928959981126398492836898818575147910543072763143875219550145120470837768902675153132325984429698414868616459972499234015916451717 (181 digits)
- Fri Nov 02 08:39:59 2012 searching for 15-digit factors
- Fri Nov 02 08:39:59 2012 commencing number field sieve (181-digit input)
- Fri Nov 02 08:39:59 2012 R0: -46820107441205570339177226914379002
- Fri Nov 02 08:39:59 2012 R1: 216379544877064501
- Fri Nov 02 08:39:59 2012 A0: -1
- Fri Nov 02 08:39:59 2012 A1: 3
- Fri Nov 02 08:39:59 2012 A2: 6
- Fri Nov 02 08:39:59 2012 A3: -4
- Fri Nov 02 08:39:59 2012 A4: -5
- Fri Nov 02 08:39:59 2012 A5: 1
- Fri Nov 02 08:39:59 2012 A6: 1
- Fri Nov 02 08:39:59 2012 skew 1.00, size 3.293e-010, alpha 3.126, combined = 7.608e-012 rroots = 6
- Fri Nov 02 08:39:59 2012
- Fri Nov 02 08:39:59 2012 commencing linear algebra
- Fri Nov 02 08:40:00 2012 matrix starts at (0, 0)
- Fri Nov 02 08:40:01 2012 matrix is 2853736 x 2853913 (838.6 MB) with weight 242625030 (85.01/col)
- Fri Nov 02 08:40:01 2012 sparse part has weight 191284954 (67.03/col)
- Fri Nov 02 08:40:01 2012 saving the first 48 matrix rows for later
- Fri Nov 02 08:40:02 2012 matrix includes 64 packed rows
- Fri Nov 02 08:40:02 2012 matrix is 2853688 x 2853913 (803.9 MB) with weight 195395920 (68.47/col)
- Fri Nov 02 08:40:02 2012 sparse part has weight 182193799 (63.84/col)
- Fri Nov 02 08:40:02 2012 using block size 65536 for processor cache size 12288 kB
- Fri Nov 02 08:40:11 2012 commencing Lanczos iteration (6 threads)
- Fri Nov 02 08:40:11 2012 memory use: 760.8 MB
- Fri Nov 02 08:40:11 2012 restarting at iteration 13601 (dim = 860062)
- Fri Nov 02 08:40:24 2012 linear algebra at 30.2%, ETA 4h43m
- Fri Nov 02 08:40:27 2012 checkpointing every 450000 dimensions
- Fri Nov 02 11:14:02 2012
- Fri Nov 02 11:14:02 2012
- Fri Nov 02 11:14:02 2012 Msieve v. 1.50 (SVN Official Release)
- Fri Nov 02 11:14:02 2012 random seeds: 7ef9f210 d185a230
- Fri Nov 02 11:14:02 2012 factoring 4710552152747563463872596840777955821634064920481799928959981126398492836898818575147910543072763143875219550145120470837768902675153132325984429698414868616459972499234015916451717 (181 digits)
- Fri Nov 02 11:14:04 2012 searching for 15-digit factors
- Fri Nov 02 11:14:05 2012 commencing number field sieve (181-digit input)
- Fri Nov 02 11:14:05 2012 R0: -46820107441205570339177226914379002
- Fri Nov 02 11:14:05 2012 R1: 216379544877064501
- Fri Nov 02 11:14:05 2012 A0: -1
- Fri Nov 02 11:14:05 2012 A1: 3
- Fri Nov 02 11:14:05 2012 A2: 6
- Fri Nov 02 11:14:05 2012 A3: -4
- Fri Nov 02 11:14:05 2012 A4: -5
- Fri Nov 02 11:14:05 2012 A5: 1
- Fri Nov 02 11:14:05 2012 A6: 1
- Fri Nov 02 11:14:05 2012 skew 1.00, size 3.293e-010, alpha 3.126, combined = 7.608e-012 rroots = 6
- Fri Nov 02 11:14:05 2012
- Fri Nov 02 11:14:05 2012 commencing linear algebra
- Fri Nov 02 11:14:06 2012 matrix starts at (0, 0)
- Fri Nov 02 11:14:07 2012 matrix is 2853736 x 2853913 (838.6 MB) with weight 242625030 (85.01/col)
- Fri Nov 02 11:14:07 2012 sparse part has weight 191284954 (67.03/col)
- Fri Nov 02 11:14:07 2012 saving the first 48 matrix rows for later
- Fri Nov 02 11:14:08 2012 matrix includes 64 packed rows
- Fri Nov 02 11:14:09 2012 matrix is 2853688 x 2853913 (803.9 MB) with weight 195395920 (68.47/col)
- Fri Nov 02 11:14:09 2012 sparse part has weight 182193799 (63.84/col)
- Fri Nov 02 11:14:09 2012 using block size 65536 for processor cache size 12288 kB
- Fri Nov 02 11:14:21 2012 commencing Lanczos iteration (6 threads)
- Fri Nov 02 11:14:21 2012 memory use: 760.8 MB
- Fri Nov 02 11:14:22 2012 restarting at iteration 28465 (dim = 1800045)
- Fri Nov 02 11:14:35 2012 linear algebra at 63.1%, ETA 2h31m
- Fri Nov 02 11:14:39 2012 checkpointing every 430000 dimensions
- Fri Nov 02 13:42:47 2012 lanczos halted after 45129 iterations (dim = 2853688)
- Fri Nov 02 13:42:50 2012 recovered 35 nontrivial dependencies
- Fri Nov 02 13:42:50 2012 BLanczosTime: 8925
- Fri Nov 02 13:42:50 2012
- Fri Nov 02 13:42:50 2012 commencing square root phase
- Fri Nov 02 13:42:50 2012 reading relations for dependency 1
- Fri Nov 02 13:42:51 2012 read 1426627 cycles
- Fri Nov 02 13:42:52 2012 cycles contain 3736824 unique relations
- Fri Nov 02 13:43:49 2012 read 3736824 relations
- Fri Nov 02 13:44:05 2012 multiplying 3736824 relations
- Fri Nov 02 13:46:30 2012 multiply complete, coefficients have about 88.40 million bits
- Fri Nov 02 13:46:31 2012 initial square root is modulo 2213399
- Fri Nov 02 13:49:49 2012 sqrtTime: 419
- Fri Nov 02 13:49:49 2012 prp56 factor: 10879513003907373087288127789400509400601499402423436681
- Fri Nov 02 13:49:49 2012 prp126 factor: 432974541328804919264630988897238397270856643750987019040827677046014411410472590401546728903041734847760994529618982246108957
- Fri Nov 02 13:49:49 2012 elapsed time 02:35:47
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