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- Fri Aug 12 19:55:35 2016
- Fri Aug 12 19:55:35 2016
- Fri Aug 12 19:55:35 2016 Msieve v. 1.52 (SVN unknown)
- Fri Aug 12 19:55:35 2016 random seeds: 20667db4 21e11b2c
- Fri Aug 12 19:55:35 2016 factoring 20039509671728848013715456990850460987390414200642760944345623692275582285836656548124986769366057282130711336689422039262383592003889419639321093478124908223507981829115578733782217832004348600408026972969062788417 (215 digits)
- Fri Aug 12 19:55:36 2016 no P-1/P+1/ECM available, skipping
- Fri Aug 12 19:55:36 2016 commencing number field sieve (215-digit input)
- Fri Aug 12 19:55:36 2016 R0: 4849687664788584363858837602739217760256
- Fri Aug 12 19:55:36 2016 R1: -444089209850062616169452667236328125
- Fri Aug 12 19:55:36 2016 A0: 36
- Fri Aug 12 19:55:36 2016 A1: 0
- Fri Aug 12 19:55:36 2016 A2: 0
- Fri Aug 12 19:55:36 2016 A3: 0
- Fri Aug 12 19:55:36 2016 A4: 0
- Fri Aug 12 19:55:36 2016 A5: 0
- Fri Aug 12 19:55:36 2016 A6: 25
- Fri Aug 12 19:55:36 2016 skew 1.06, size 5.872e-012, alpha 0.588, combined = 4.397e-013 rroots = 0
- Fri Aug 12 19:55:36 2016
- Fri Aug 12 19:55:36 2016 commencing relation filtering
- Fri Aug 12 19:55:36 2016 setting target matrix density to 115.0
- Fri Aug 12 19:55:36 2016 estimated available RAM is 16335.3 MB
- Fri Aug 12 19:55:36 2016 commencing duplicate removal, pass 1
- Fri Aug 12 20:09:51 2016 error -15 reading relation 87444785
- Fri Aug 12 20:11:43 2016 error -1 reading relation 99048250
- Fri Aug 12 20:12:24 2016 error -9 reading relation 103250496
- Fri Aug 12 20:18:52 2016 error -9 reading relation 143326090
- Fri Aug 12 20:24:30 2016 error -9 reading relation 178012966
- Fri Aug 12 20:27:46 2016 error -5 reading relation 197677378
- Fri Aug 12 20:27:55 2016 error -9 reading relation 198595292
- Fri Aug 12 20:27:58 2016 error -15 reading relation 198908438
- Fri Aug 12 20:28:04 2016 error -9 reading relation 199452999
- Fri Aug 12 20:28:06 2016 error -9 reading relation 199628577
- Fri Aug 12 20:28:13 2016 error -9 reading relation 200332274
- Fri Aug 12 20:28:15 2016 error -9 reading relation 200477998
- Fri Aug 12 20:29:36 2016 error -15 reading relation 208929657
- Fri Aug 12 20:29:38 2016 error -9 reading relation 209121576
- Fri Aug 12 20:29:40 2016 error -5 reading relation 209258286
- Fri Aug 12 20:29:42 2016 error -9 reading relation 209480894
- Fri Aug 12 20:29:52 2016 error -15 reading relation 210574675
- Fri Aug 12 20:29:55 2016 error -15 reading relation 210860947
- Fri Aug 12 20:30:00 2016 error -5 reading relation 211409624
- Fri Aug 12 20:30:03 2016 error -15 reading relation 211694308
- Fri Aug 12 20:30:24 2016 error -15 reading relation 213912705
- Fri Aug 12 20:30:29 2016 error -9 reading relation 214481345
- Fri Aug 12 20:30:33 2016 error -15 reading relation 214853189
- Fri Aug 12 20:30:52 2016 error -9 reading relation 216820618
- Fri Aug 12 20:31:06 2016 error -1 reading relation 218271234
- Fri Aug 12 20:31:06 2016 error -9 reading relation 218283743
- Fri Aug 12 20:31:26 2016 error -9 reading relation 220402997
- Fri Aug 12 20:31:40 2016 error -15 reading relation 221905913
- Fri Aug 12 20:31:46 2016 error -15 reading relation 222519335
- Fri Aug 12 20:32:14 2016 error -15 reading relation 225491223
- Fri Aug 12 20:32:14 2016 error -15 reading relation 225499745
- Fri Aug 12 20:32:20 2016 error -15 reading relation 226069364
- Fri Aug 12 20:32:54 2016 error -15 reading relation 229610485
- Fri Aug 12 20:32:54 2016 error -9 reading relation 229632131
- Fri Aug 12 20:32:56 2016 error -15 reading relation 229868492
- Fri Aug 12 20:33:07 2016 error -15 reading relation 231032531
- Fri Aug 12 20:33:46 2016 error -15 reading relation 234979899
- Fri Aug 12 20:34:08 2016 error -15 reading relation 237352959
- Fri Aug 12 20:34:14 2016 error -9 reading relation 237972478
- Fri Aug 12 20:34:30 2016 error -9 reading relation 239780941
- Fri Aug 12 20:34:35 2016 error -9 reading relation 240311853
- Fri Aug 12 20:34:48 2016 error -9 reading relation 241704323
- Fri Aug 12 20:35:02 2016 error -9 reading relation 243112603
- Fri Aug 12 20:35:03 2016 error -15 reading relation 243197609
- Fri Aug 12 20:35:04 2016 error -9 reading relation 243331090
- Fri Aug 12 20:35:04 2016 error -9 reading relation 243363315
- Fri Aug 12 20:35:04 2016 error -15 reading relation 243391563
- Fri Aug 12 20:35:05 2016 error -9 reading relation 243459205
- Fri Aug 12 20:35:16 2016 error -9 reading relation 244600040
- Fri Aug 12 20:35:22 2016 error -9 reading relation 245193669
- Fri Aug 12 20:35:23 2016 error -9 reading relation 245326397
- Fri Aug 12 20:35:34 2016 error -9 reading relation 246462955
- Fri Aug 12 20:35:51 2016 error -9 reading relation 248345703
- Fri Aug 12 20:35:51 2016 error -9 reading relation 248358450
- Fri Aug 12 20:35:59 2016 error -15 reading relation 249260638
- Fri Aug 12 20:36:23 2016 error -15 reading relation 251883769
- Fri Aug 12 20:36:24 2016 error -5 reading relation 251904756
- Fri Aug 12 20:36:32 2016 error -9 reading relation 252771459
- Fri Aug 12 20:36:34 2016 skipped 54 relations with b > 2^32
- Fri Aug 12 20:36:34 2016 found 49186253 hash collisions in 253026996 relations
- Fri Aug 12 20:37:02 2016 added 1219924 free relations
- Fri Aug 12 20:37:02 2016 commencing duplicate removal, pass 2
- Fri Aug 12 20:42:28 2016 found 47727999 duplicates and 206518921 unique relations
- Fri Aug 12 20:42:28 2016 memory use: 1321.5 MB
- Fri Aug 12 20:42:28 2016 reading ideals above 139919360
- Fri Aug 12 20:42:28 2016 commencing singleton removal, initial pass
- Fri Aug 12 21:21:15 2016 memory use: 3012.0 MB
- Fri Aug 12 21:21:16 2016 reading all ideals from disk
- Fri Aug 12 21:21:52 2016 memory use: 3493.5 MB
- Fri Aug 12 21:22:00 2016 commencing in-memory singleton removal
- Fri Aug 12 21:22:08 2016 begin with 206518921 relations and 161957436 unique ideals
- Fri Aug 12 21:23:20 2016 reduce to 142424404 relations and 91952365 ideals in 12 passes
- Fri Aug 12 21:23:20 2016 max relations containing the same ideal: 45
- Fri Aug 12 21:23:31 2016 reading ideals above 720000
- Fri Aug 12 21:23:31 2016 commencing singleton removal, initial pass
- Fri Aug 12 21:57:02 2016 memory use: 2756.0 MB
- Fri Aug 12 21:57:02 2016 reading all ideals from disk
- Fri Aug 12 21:57:34 2016 memory use: 5525.5 MB
- Fri Aug 12 21:57:48 2016 keeping 107047442 ideals with weight <= 200, target excess is 720920
- Fri Aug 12 21:58:05 2016 commencing in-memory singleton removal
- Fri Aug 12 21:58:16 2016 begin with 142424404 relations and 107047442 unique ideals
- Fri Aug 12 21:59:18 2016 reduce to 142423898 relations and 107046936 ideals in 5 passes
- Fri Aug 12 21:59:18 2016 max relations containing the same ideal: 200
- Fri Aug 12 22:00:16 2016 removing 9944872 relations and 7944872 ideals in 2000000 cliques
- Fri Aug 12 22:00:19 2016 commencing in-memory singleton removal
- Fri Aug 12 22:00:30 2016 begin with 132479026 relations and 107046936 unique ideals
- Fri Aug 12 22:01:50 2016 reduce to 131965082 relations and 98579069 ideals in 7 passes
- Fri Aug 12 22:01:50 2016 max relations containing the same ideal: 197
- Fri Aug 12 22:02:44 2016 removing 7581612 relations and 5581612 ideals in 2000000 cliques
- Fri Aug 12 22:02:47 2016 commencing in-memory singleton removal
- Fri Aug 12 22:02:57 2016 begin with 124383470 relations and 98579069 unique ideals
- Fri Aug 12 22:04:11 2016 reduce to 124040718 relations and 92649258 ideals in 7 passes
- Fri Aug 12 22:04:11 2016 max relations containing the same ideal: 193
- Fri Aug 12 22:05:02 2016 removing 6900373 relations and 4900373 ideals in 2000000 cliques
- Fri Aug 12 22:05:05 2016 commencing in-memory singleton removal
- Fri Aug 12 22:05:14 2016 begin with 117140345 relations and 92649258 unique ideals
- Fri Aug 12 22:06:23 2016 reduce to 116841593 relations and 87445554 ideals in 7 passes
- Fri Aug 12 22:06:23 2016 max relations containing the same ideal: 187
- Fri Aug 12 22:07:12 2016 removing 6542839 relations and 4542839 ideals in 2000000 cliques
- Fri Aug 12 22:07:14 2016 commencing in-memory singleton removal
- Fri Aug 12 22:07:23 2016 begin with 110298754 relations and 87445554 unique ideals
- Fri Aug 12 22:08:19 2016 reduce to 110022868 relations and 82622454 ideals in 6 passes
- Fri Aug 12 22:08:19 2016 max relations containing the same ideal: 180
- Fri Aug 12 22:09:05 2016 removing 6316037 relations and 4316037 ideals in 2000000 cliques
- Fri Aug 12 22:09:08 2016 commencing in-memory singleton removal
- Fri Aug 12 22:09:16 2016 begin with 103706831 relations and 82622454 unique ideals
- Fri Aug 12 22:10:16 2016 reduce to 103443584 relations and 78038729 ideals in 7 passes
- Fri Aug 12 22:10:16 2016 max relations containing the same ideal: 174
- Fri Aug 12 22:11:00 2016 removing 6160130 relations and 4160130 ideals in 2000000 cliques
- Fri Aug 12 22:11:02 2016 commencing in-memory singleton removal
- Fri Aug 12 22:11:10 2016 begin with 97283454 relations and 78038729 unique ideals
- Fri Aug 12 22:11:58 2016 reduce to 97025891 relations and 73616601 ideals in 6 passes
- Fri Aug 12 22:11:58 2016 max relations containing the same ideal: 166
- Fri Aug 12 22:12:39 2016 removing 6039311 relations and 4039311 ideals in 2000000 cliques
- Fri Aug 12 22:12:41 2016 commencing in-memory singleton removal
- Fri Aug 12 22:12:48 2016 begin with 90986580 relations and 73616601 unique ideals
- Fri Aug 12 22:13:33 2016 reduce to 90728717 relations and 69314643 ideals in 6 passes
- Fri Aug 12 22:13:33 2016 max relations containing the same ideal: 160
- Fri Aug 12 22:14:12 2016 removing 5953251 relations and 3953251 ideals in 2000000 cliques
- Fri Aug 12 22:14:14 2016 commencing in-memory singleton removal
- Fri Aug 12 22:14:20 2016 begin with 84775466 relations and 69314643 unique ideals
- Fri Aug 12 22:15:02 2016 reduce to 84515405 relations and 65096341 ideals in 6 passes
- Fri Aug 12 22:15:02 2016 max relations containing the same ideal: 151
- Fri Aug 12 22:15:38 2016 removing 5886730 relations and 3886730 ideals in 2000000 cliques
- Fri Aug 12 22:15:40 2016 commencing in-memory singleton removal
- Fri Aug 12 22:15:46 2016 begin with 78628675 relations and 65096341 unique ideals
- Fri Aug 12 22:16:25 2016 reduce to 78362863 relations and 60938290 ideals in 6 passes
- Fri Aug 12 22:16:25 2016 max relations containing the same ideal: 145
- Fri Aug 12 22:16:58 2016 removing 5836043 relations and 3836043 ideals in 2000000 cliques
- Fri Aug 12 22:17:00 2016 commencing in-memory singleton removal
- Fri Aug 12 22:17:06 2016 begin with 72526820 relations and 60938290 unique ideals
- Fri Aug 12 22:17:41 2016 reduce to 72252301 relations and 56821453 ideals in 6 passes
- Fri Aug 12 22:17:41 2016 max relations containing the same ideal: 138
- Fri Aug 12 22:18:12 2016 removing 5796986 relations and 3796986 ideals in 2000000 cliques
- Fri Aug 12 22:18:14 2016 commencing in-memory singleton removal
- Fri Aug 12 22:18:18 2016 begin with 66455315 relations and 56821453 unique ideals
- Fri Aug 12 22:18:51 2016 reduce to 66166906 relations and 52728938 ideals in 6 passes
- Fri Aug 12 22:18:51 2016 max relations containing the same ideal: 126
- Fri Aug 12 22:19:19 2016 removing 5766901 relations and 3766901 ideals in 2000000 cliques
- Fri Aug 12 22:19:21 2016 commencing in-memory singleton removal
- Fri Aug 12 22:19:25 2016 begin with 60400005 relations and 52728938 unique ideals
- Fri Aug 12 22:19:54 2016 reduce to 60095512 relations and 48649754 ideals in 6 passes
- Fri Aug 12 22:19:54 2016 max relations containing the same ideal: 120
- Fri Aug 12 22:20:20 2016 removing 5746556 relations and 3746556 ideals in 2000000 cliques
- Fri Aug 12 22:20:21 2016 commencing in-memory singleton removal
- Fri Aug 12 22:20:25 2016 begin with 54348956 relations and 48649754 unique ideals
- Fri Aug 12 22:20:51 2016 reduce to 54022578 relations and 44567561 ideals in 6 passes
- Fri Aug 12 22:20:51 2016 max relations containing the same ideal: 112
- Fri Aug 12 22:21:14 2016 removing 5731116 relations and 3731116 ideals in 2000000 cliques
- Fri Aug 12 22:21:16 2016 commencing in-memory singleton removal
- Fri Aug 12 22:21:19 2016 begin with 48291462 relations and 44567561 unique ideals
- Fri Aug 12 22:21:46 2016 reduce to 47935693 relations and 40469440 ideals in 7 passes
- Fri Aug 12 22:21:46 2016 max relations containing the same ideal: 101
- Fri Aug 12 22:22:06 2016 removing 5726600 relations and 3726600 ideals in 2000000 cliques
- Fri Aug 12 22:22:08 2016 commencing in-memory singleton removal
- Fri Aug 12 22:22:11 2016 begin with 42209093 relations and 40469440 unique ideals
- Fri Aug 12 22:22:30 2016 reduce to 41811316 relations and 36331237 ideals in 6 passes
- Fri Aug 12 22:22:30 2016 max relations containing the same ideal: 94
- Fri Aug 12 22:22:49 2016 removing 5733813 relations and 3733813 ideals in 2000000 cliques
- Fri Aug 12 22:22:50 2016 commencing in-memory singleton removal
- Fri Aug 12 22:22:53 2016 begin with 36077503 relations and 36331237 unique ideals
- Fri Aug 12 22:23:12 2016 reduce to 35615493 relations and 32117140 ideals in 7 passes
- Fri Aug 12 22:23:12 2016 max relations containing the same ideal: 86
- Fri Aug 12 22:23:28 2016 removing 5760018 relations and 3760018 ideals in 2000000 cliques
- Fri Aug 12 22:23:29 2016 commencing in-memory singleton removal
- Fri Aug 12 22:23:31 2016 begin with 29855475 relations and 32117140 unique ideals
- Fri Aug 12 22:23:47 2016 reduce to 29284986 relations and 27760159 ideals in 7 passes
- Fri Aug 12 22:23:47 2016 max relations containing the same ideal: 74
- Fri Aug 12 22:24:00 2016 removing 2425380 relations and 1736821 ideals in 688559 cliques
- Fri Aug 12 22:24:00 2016 commencing in-memory singleton removal
- Fri Aug 12 22:24:02 2016 begin with 26859606 relations and 27760159 unique ideals
- Fri Aug 12 22:24:16 2016 reduce to 26706375 relations and 25866933 ideals in 7 passes
- Fri Aug 12 22:24:16 2016 max relations containing the same ideal: 69
- Fri Aug 12 22:24:31 2016 relations with 0 large ideals: 27431
- Fri Aug 12 22:24:31 2016 relations with 1 large ideals: 15349
- Fri Aug 12 22:24:31 2016 relations with 2 large ideals: 195271
- Fri Aug 12 22:24:31 2016 relations with 3 large ideals: 1131286
- Fri Aug 12 22:24:31 2016 relations with 4 large ideals: 3481930
- Fri Aug 12 22:24:31 2016 relations with 5 large ideals: 6325019
- Fri Aug 12 22:24:31 2016 relations with 6 large ideals: 7109785
- Fri Aug 12 22:24:31 2016 relations with 7+ large ideals: 8420304
- Fri Aug 12 22:24:31 2016 commencing 2-way merge
- Fri Aug 12 22:24:46 2016 reduce to 18105490 relation sets and 17266048 unique ideals
- Fri Aug 12 22:24:46 2016 commencing full merge
- Fri Aug 12 22:31:13 2016 memory use: 2242.4 MB
- Fri Aug 12 22:31:15 2016 found 8313661 cycles, need 8232248
- Fri Aug 12 22:31:16 2016 weight of 8232248 cycles is about 947148432 (115.05/cycle)
- Fri Aug 12 22:31:16 2016 distribution of cycle lengths:
- Fri Aug 12 22:31:16 2016 1 relations: 283761
- Fri Aug 12 22:31:16 2016 2 relations: 463010
- Fri Aug 12 22:31:16 2016 3 relations: 582436
- Fri Aug 12 22:31:16 2016 4 relations: 624234
- Fri Aug 12 22:31:16 2016 5 relations: 663740
- Fri Aug 12 22:31:16 2016 6 relations: 667323
- Fri Aug 12 22:31:16 2016 7 relations: 660718
- Fri Aug 12 22:31:16 2016 8 relations: 627881
- Fri Aug 12 22:31:16 2016 9 relations: 583589
- Fri Aug 12 22:31:16 2016 10+ relations: 3075556
- Fri Aug 12 22:31:16 2016 heaviest cycle: 28 relations
- Fri Aug 12 22:31:18 2016 commencing cycle optimization
- Fri Aug 12 22:31:32 2016 start with 69923034 relations
- Fri Aug 12 22:34:30 2016 pruned 3388433 relations
- Fri Aug 12 22:34:30 2016 memory use: 1832.3 MB
- Fri Aug 12 22:34:30 2016 distribution of cycle lengths:
- Fri Aug 12 22:34:30 2016 1 relations: 283761
- Fri Aug 12 22:34:30 2016 2 relations: 475103
- Fri Aug 12 22:34:30 2016 3 relations: 608513
- Fri Aug 12 22:34:30 2016 4 relations: 653736
- Fri Aug 12 22:34:30 2016 5 relations: 701094
- Fri Aug 12 22:34:30 2016 6 relations: 705637
- Fri Aug 12 22:34:30 2016 7 relations: 700167
- Fri Aug 12 22:34:30 2016 8 relations: 661572
- Fri Aug 12 22:34:30 2016 9 relations: 613005
- Fri Aug 12 22:34:30 2016 10+ relations: 2829660
- Fri Aug 12 22:34:30 2016 heaviest cycle: 28 relations
- Fri Aug 12 22:34:43 2016 RelProcTime: 9547
- Fri Aug 12 22:34:43 2016
- Fri Aug 12 22:34:43 2016 commencing linear algebra
- Fri Aug 12 22:34:45 2016 read 8232248 cycles
- Fri Aug 12 22:35:02 2016 cycles contain 26306981 unique relations
- Fri Aug 12 22:41:04 2016 read 26306981 relations
- Fri Aug 12 22:41:48 2016 using 20 quadratic characters above 2147478722
- Fri Aug 12 22:43:44 2016 building initial matrix
- Fri Aug 12 22:48:58 2016 memory use: 3279.6 MB
- Fri Aug 12 22:49:37 2016 read 8232248 cycles
- Fri Aug 12 22:49:39 2016 matrix is 8232071 x 8232248 (3704.2 MB) with weight 1047886275 (127.29/col)
- Fri Aug 12 22:49:39 2016 sparse part has weight 880474135 (106.95/col)
- Fri Aug 12 22:51:19 2016 filtering completed in 2 passes
- Fri Aug 12 22:51:22 2016 matrix is 8231798 x 8231975 (3704.2 MB) with weight 1047876523 (127.29/col)
- Fri Aug 12 22:51:22 2016 sparse part has weight 880469792 (106.96/col)
- Fri Aug 12 22:52:47 2016 matrix starts at (0, 0)
- Fri Aug 12 22:52:50 2016 matrix is 8231798 x 8231975 (3704.2 MB) with weight 1047876523 (127.29/col)
- Fri Aug 12 22:52:50 2016 sparse part has weight 880469792 (106.96/col)
- Fri Aug 12 22:52:50 2016 saving the first 48 matrix rows for later
- Fri Aug 12 22:52:52 2016 matrix includes 64 packed rows
- Fri Aug 12 22:52:54 2016 matrix is 8231750 x 8231975 (3535.4 MB) with weight 904988656 (109.94/col)
- Fri Aug 12 22:52:54 2016 sparse part has weight 844477016 (102.58/col)
- Fri Aug 12 22:52:54 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Fri Aug 12 22:53:40 2016 commencing Lanczos iteration (4 threads)
- Fri Aug 12 22:53:40 2016 memory use: 2974.4 MB
- Fri Aug 12 22:54:17 2016 linear algebra at 0.0%, ETA 52h46m
- Fri Aug 12 22:54:28 2016 checkpointing every 160000 dimensions
- Mon Aug 15 04:01:14 2016 lanczos halted after 130182 iterations (dim = 8231745)
- Mon Aug 15 04:01:24 2016 recovered 38 nontrivial dependencies
- Mon Aug 15 04:01:29 2016 BLanczosTime: 192406
- Mon Aug 15 04:01:29 2016
- Mon Aug 15 04:01:29 2016 commencing square root phase
- Mon Aug 15 04:01:29 2016 handling dependencies 1 to 64
- Mon Aug 15 04:01:29 2016 reading relations for dependency 1
- Mon Aug 15 04:01:31 2016 read 4119729 cycles
- Mon Aug 15 04:01:38 2016 cycles contain 13160706 unique relations
- Mon Aug 15 04:07:30 2016 read 13160706 relations
- Mon Aug 15 04:08:42 2016 multiplying 13160706 relations
- Mon Aug 15 04:21:01 2016 multiply complete, coefficients have about 388.45 million bits
- Mon Aug 15 04:21:06 2016 initial square root is modulo 9334447
- Mon Aug 15 04:36:45 2016 GCD is 1, no factor found
- Mon Aug 15 04:36:45 2016 reading relations for dependency 2
- Mon Aug 15 04:36:47 2016 read 4114951 cycles
- Mon Aug 15 04:36:54 2016 cycles contain 13154054 unique relations
- Mon Aug 15 04:42:52 2016 read 13154054 relations
- Mon Aug 15 04:44:10 2016 multiplying 13154054 relations
- Mon Aug 15 04:57:35 2016 multiply complete, coefficients have about 388.25 million bits
- Mon Aug 15 04:57:40 2016 initial square root is modulo 9256399
- Mon Aug 15 05:14:34 2016 sqrtTime: 4385
- Mon Aug 15 05:14:34 2016 prp76 factor: 2679156723355418370241773383450743421541817487880159831419867834415311079521
- Mon Aug 15 05:14:34 2016 prp139 factor: 7479782536435960448608855043644091912586448837421888248567063758970163547899278318182919021904439876361931535266687854206891100187015729377
- Mon Aug 15 05:14:34 2016 elapsed time 57:18:59
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