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# 9+8_248

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Jul 30th, 2016
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__Sign Up__- Thu Jul 28 14:49:23 2016
- Thu Jul 28 14:49:23 2016
- Thu Jul 28 14:49:23 2016 Msieve v. 1.52 (SVN unknown)
- Thu Jul 28 14:49:23 2016 random seeds: df88b998 8a4e8754
- Thu Jul 28 14:49:23 2016 factoring 1725716332742324708898857761351573561052499200383113733802973868095503153029365777487465811646895862531219419069075562324977902155311994197700113045081978780133206808312261324583031517926974909988938035514913 (208 digits)
- Thu Jul 28 14:49:24 2016 no P-1/P+1/ECM available, skipping
- Thu Jul 28 14:49:24 2016 commencing number field sieve (208-digit input)
- Thu Jul 28 14:49:25 2016 R0: 3990838394187339929534246675572349035227
- Thu Jul 28 14:49:25 2016 R1: -21267647932558653966460912964485513216
- Thu Jul 28 14:49:25 2016 A0: 9
- Thu Jul 28 14:49:25 2016 A1: 0
- Thu Jul 28 14:49:25 2016 A2: 0
- Thu Jul 28 14:49:25 2016 A3: 0
- Thu Jul 28 14:49:25 2016 A4: 0
- Thu Jul 28 14:49:25 2016 A5: 0
- Thu Jul 28 14:49:25 2016 A6: 1
- Thu Jul 28 14:49:25 2016 skew 1.44, size 9.941e-012, alpha 1.395, combined = 6.371e-013 rroots = 0
- Thu Jul 28 14:49:25 2016
- Thu Jul 28 14:49:25 2016 commencing relation filtering
- Thu Jul 28 14:49:25 2016 setting target matrix density to 135.0
- Thu Jul 28 14:49:25 2016 estimated available RAM is 16335.3 MB
- Thu Jul 28 14:49:25 2016 commencing duplicate removal, pass 1
- Thu Jul 28 15:27:01 2016 error -15 reading relation 242200743
- Thu Jul 28 15:27:48 2016 error -9 reading relation 247368662
- Thu Jul 28 15:27:49 2016 error -9 reading relation 247452884
- Thu Jul 28 15:29:03 2016 error -15 reading relation 255641306
- Thu Jul 28 15:29:46 2016 error -5 reading relation 260485081
- Thu Jul 28 15:29:48 2016 error -9 reading relation 260723155
- Thu Jul 28 15:30:09 2016 error -15 reading relation 263058343
- Thu Jul 28 15:31:27 2016 error -9 reading relation 271309281
- Thu Jul 28 15:31:39 2016 error -15 reading relation 272591173
- Thu Jul 28 15:31:41 2016 error -15 reading relation 272860354
- Thu Jul 28 15:31:51 2016 error -15 reading relation 273862639
- Thu Jul 28 15:31:53 2016 error -15 reading relation 274115168
- Thu Jul 28 15:31:54 2016 error -9 reading relation 274187203
- Thu Jul 28 15:31:55 2016 error -9 reading relation 274297203
- Thu Jul 28 15:32:18 2016 error -1 reading relation 276723936
- Thu Jul 28 15:32:21 2016 skipped 40 relations with b > 2^32
- Thu Jul 28 15:32:21 2016 found 52835065 hash collisions in 277013719 relations
- Thu Jul 28 15:32:48 2016 added 1218608 free relations
- Thu Jul 28 15:32:48 2016 commencing duplicate removal, pass 2
- Thu Jul 28 15:38:05 2016 found 49619129 duplicates and 228613198 unique relations
- Thu Jul 28 15:38:05 2016 memory use: 1321.5 MB
- Thu Jul 28 15:38:05 2016 reading ideals above 131661824
- Thu Jul 28 15:38:05 2016 commencing singleton removal, initial pass
- Thu Jul 28 16:19:20 2016 memory use: 5512.0 MB
- Thu Jul 28 16:19:20 2016 reading all ideals from disk
- Thu Jul 28 16:20:27 2016 memory use: 3900.1 MB
- Thu Jul 28 16:20:35 2016 commencing in-memory singleton removal
- Thu Jul 28 16:20:43 2016 begin with 228613198 relations and 167286083 unique ideals
- Thu Jul 28 16:22:03 2016 reduce to 170869721 relations and 105094016 ideals in 11 passes
- Thu Jul 28 16:22:03 2016 max relations containing the same ideal: 39
- Thu Jul 28 16:22:16 2016 reading ideals above 720000
- Thu Jul 28 16:22:16 2016 commencing singleton removal, initial pass
- Thu Jul 28 16:59:58 2016 memory use: 3012.0 MB
- Thu Jul 28 16:59:58 2016 reading all ideals from disk
- Thu Jul 28 17:01:31 2016 memory use: 6611.2 MB
- Thu Jul 28 17:01:49 2016 keeping 119159527 ideals with weight <= 200, target excess is 866936
- Thu Jul 28 17:02:09 2016 commencing in-memory singleton removal
- Thu Jul 28 17:02:23 2016 begin with 170869721 relations and 119159527 unique ideals
- Thu Jul 28 17:03:06 2016 reduce to 170869660 relations and 119159466 ideals in 3 passes
- Thu Jul 28 17:03:06 2016 max relations containing the same ideal: 200
- Thu Jul 28 17:04:11 2016 removing 8910892 relations and 6910892 ideals in 2000000 cliques
- Thu Jul 28 17:04:15 2016 commencing in-memory singleton removal
- Thu Jul 28 17:04:28 2016 begin with 161958768 relations and 119159466 unique ideals
- Thu Jul 28 17:05:50 2016 reduce to 161593474 relations and 111877718 ideals in 6 passes
- Thu Jul 28 17:05:50 2016 max relations containing the same ideal: 199
- Thu Jul 28 17:06:53 2016 removing 6875008 relations and 4875008 ideals in 2000000 cliques
- Thu Jul 28 17:06:55 2016 commencing in-memory singleton removal
- Thu Jul 28 17:07:08 2016 begin with 154718466 relations and 111877718 unique ideals
- Thu Jul 28 17:08:39 2016 reduce to 154473419 relations and 106754400 ideals in 7 passes
- Thu Jul 28 17:08:39 2016 max relations containing the same ideal: 195
- Thu Jul 28 17:09:39 2016 removing 6307249 relations and 4307249 ideals in 2000000 cliques
- Thu Jul 28 17:09:42 2016 commencing in-memory singleton removal
- Thu Jul 28 17:09:53 2016 begin with 148166170 relations and 106754400 unique ideals
- Thu Jul 28 17:11:20 2016 reduce to 147956723 relations and 102234981 ideals in 7 passes
- Thu Jul 28 17:11:20 2016 max relations containing the same ideal: 192
- Thu Jul 28 17:12:18 2016 removing 6010783 relations and 4010783 ideals in 2000000 cliques
- Thu Jul 28 17:12:21 2016 commencing in-memory singleton removal
- Thu Jul 28 17:12:32 2016 begin with 141945940 relations and 102234981 unique ideals
- Thu Jul 28 17:13:43 2016 reduce to 141756852 relations and 98032708 ideals in 6 passes
- Thu Jul 28 17:13:43 2016 max relations containing the same ideal: 187
- Thu Jul 28 17:14:39 2016 removing 5814681 relations and 3814681 ideals in 2000000 cliques
- Thu Jul 28 17:14:41 2016 commencing in-memory singleton removal
- Thu Jul 28 17:14:52 2016 begin with 135942171 relations and 98032708 unique ideals
- Thu Jul 28 17:16:00 2016 reduce to 135765776 relations and 94039258 ideals in 6 passes
- Thu Jul 28 17:16:00 2016 max relations containing the same ideal: 185
- Thu Jul 28 17:16:53 2016 removing 5674668 relations and 3674668 ideals in 2000000 cliques
- Thu Jul 28 17:16:55 2016 commencing in-memory singleton removal
- Thu Jul 28 17:17:05 2016 begin with 130091108 relations and 94039258 unique ideals
- Thu Jul 28 17:18:11 2016 reduce to 129921142 relations and 90192162 ideals in 6 passes
- Thu Jul 28 17:18:11 2016 max relations containing the same ideal: 181
- Thu Jul 28 17:19:04 2016 removing 5565872 relations and 3565872 ideals in 2000000 cliques
- Thu Jul 28 17:19:06 2016 commencing in-memory singleton removal
- Thu Jul 28 17:19:16 2016 begin with 124355270 relations and 90192162 unique ideals
- Thu Jul 28 17:20:18 2016 reduce to 124189981 relations and 86458530 ideals in 6 passes
- Thu Jul 28 17:20:18 2016 max relations containing the same ideal: 176
- Thu Jul 28 17:21:07 2016 removing 5482651 relations and 3482651 ideals in 2000000 cliques
- Thu Jul 28 17:21:10 2016 commencing in-memory singleton removal
- Thu Jul 28 17:21:19 2016 begin with 118707330 relations and 86458530 unique ideals
- Thu Jul 28 17:22:18 2016 reduce to 118545647 relations and 82811619 ideals in 6 passes
- Thu Jul 28 17:22:18 2016 max relations containing the same ideal: 171
- Thu Jul 28 17:23:05 2016 removing 5415608 relations and 3415608 ideals in 2000000 cliques
- Thu Jul 28 17:23:08 2016 commencing in-memory singleton removal
- Thu Jul 28 17:23:16 2016 begin with 113130039 relations and 82811619 unique ideals
- Thu Jul 28 17:24:03 2016 reduce to 112969415 relations and 79232793 ideals in 5 passes
- Thu Jul 28 17:24:03 2016 max relations containing the same ideal: 166
- Thu Jul 28 17:24:49 2016 removing 5356511 relations and 3356511 ideals in 2000000 cliques
- Thu Jul 28 17:24:51 2016 commencing in-memory singleton removal
- Thu Jul 28 17:24:59 2016 begin with 107612904 relations and 79232793 unique ideals
- Thu Jul 28 17:25:52 2016 reduce to 107452588 relations and 75713237 ideals in 6 passes
- Thu Jul 28 17:25:52 2016 max relations containing the same ideal: 160
- Thu Jul 28 17:26:35 2016 removing 5310024 relations and 3310024 ideals in 2000000 cliques
- Thu Jul 28 17:26:37 2016 commencing in-memory singleton removal
- Thu Jul 28 17:26:45 2016 begin with 102142564 relations and 75713237 unique ideals
- Thu Jul 28 17:27:35 2016 reduce to 101981040 relations and 72238736 ideals in 6 passes
- Thu Jul 28 17:27:35 2016 max relations containing the same ideal: 155
- Thu Jul 28 17:28:16 2016 removing 5273787 relations and 3273787 ideals in 2000000 cliques
- Thu Jul 28 17:28:18 2016 commencing in-memory singleton removal
- Thu Jul 28 17:28:25 2016 begin with 96707253 relations and 72238736 unique ideals
- Thu Jul 28 17:29:13 2016 reduce to 96542358 relations and 68796978 ideals in 6 passes
- Thu Jul 28 17:29:13 2016 max relations containing the same ideal: 148
- Thu Jul 28 17:29:52 2016 removing 5239203 relations and 3239203 ideals in 2000000 cliques
- Thu Jul 28 17:29:54 2016 commencing in-memory singleton removal
- Thu Jul 28 17:30:01 2016 begin with 91303155 relations and 68796978 unique ideals
- Thu Jul 28 17:30:38 2016 reduce to 91135247 relations and 65386576 ideals in 5 passes
- Thu Jul 28 17:30:38 2016 max relations containing the same ideal: 142
- Thu Jul 28 17:31:14 2016 removing 5214413 relations and 3214413 ideals in 2000000 cliques
- Thu Jul 28 17:31:16 2016 commencing in-memory singleton removal
- Thu Jul 28 17:31:23 2016 begin with 85920834 relations and 65386576 unique ideals
- Thu Jul 28 17:32:04 2016 reduce to 85747528 relations and 61995298 ideals in 6 passes
- Thu Jul 28 17:32:04 2016 max relations containing the same ideal: 136
- Thu Jul 28 17:32:39 2016 removing 5190403 relations and 3190403 ideals in 2000000 cliques
- Thu Jul 28 17:32:41 2016 commencing in-memory singleton removal
- Thu Jul 28 17:32:47 2016 begin with 80557125 relations and 61995298 unique ideals
- Thu Jul 28 17:33:25 2016 reduce to 80377653 relations and 58621443 ideals in 6 passes
- Thu Jul 28 17:33:25 2016 max relations containing the same ideal: 129
- Thu Jul 28 17:33:58 2016 removing 5175390 relations and 3175390 ideals in 2000000 cliques
- Thu Jul 28 17:34:00 2016 commencing in-memory singleton removal
- Thu Jul 28 17:34:05 2016 begin with 75202263 relations and 58621443 unique ideals
- Thu Jul 28 17:34:41 2016 reduce to 75014632 relations and 55254049 ideals in 6 passes
- Thu Jul 28 17:34:41 2016 max relations containing the same ideal: 123
- Thu Jul 28 17:35:12 2016 removing 5161620 relations and 3161620 ideals in 2000000 cliques
- Thu Jul 28 17:35:13 2016 commencing in-memory singleton removal
- Thu Jul 28 17:35:19 2016 begin with 69853012 relations and 55254049 unique ideals
- Thu Jul 28 17:35:51 2016 reduce to 69655584 relations and 51890365 ideals in 6 passes
- Thu Jul 28 17:35:51 2016 max relations containing the same ideal: 116
- Thu Jul 28 17:36:19 2016 removing 5155048 relations and 3155048 ideals in 2000000 cliques
- Thu Jul 28 17:36:21 2016 commencing in-memory singleton removal
- Thu Jul 28 17:36:26 2016 begin with 64500536 relations and 51890365 unique ideals
- Thu Jul 28 17:36:51 2016 reduce to 64292159 relations and 48521671 ideals in 5 passes
- Thu Jul 28 17:36:51 2016 max relations containing the same ideal: 110
- Thu Jul 28 17:37:17 2016 removing 5151574 relations and 3151574 ideals in 2000000 cliques
- Thu Jul 28 17:37:18 2016 commencing in-memory singleton removal
- Thu Jul 28 17:37:23 2016 begin with 59140585 relations and 48521671 unique ideals
- Thu Jul 28 17:37:50 2016 reduce to 58918055 relations and 45141672 ideals in 6 passes
- Thu Jul 28 17:37:50 2016 max relations containing the same ideal: 106
- Thu Jul 28 17:38:14 2016 removing 5153920 relations and 3153920 ideals in 2000000 cliques
- Thu Jul 28 17:38:16 2016 commencing in-memory singleton removal
- Thu Jul 28 17:38:20 2016 begin with 53764135 relations and 45141672 unique ideals
- Thu Jul 28 17:38:44 2016 reduce to 53523476 relations and 41740165 ideals in 6 passes
- Thu Jul 28 17:38:44 2016 max relations containing the same ideal: 100
- Thu Jul 28 17:39:06 2016 removing 5162611 relations and 3162611 ideals in 2000000 cliques
- Thu Jul 28 17:39:08 2016 commencing in-memory singleton removal
- Thu Jul 28 17:39:11 2016 begin with 48360865 relations and 41740165 unique ideals
- Thu Jul 28 17:39:29 2016 reduce to 48097634 relations and 38306049 ideals in 5 passes
- Thu Jul 28 17:39:29 2016 max relations containing the same ideal: 93
- Thu Jul 28 17:39:49 2016 removing 5173801 relations and 3173801 ideals in 2000000 cliques
- Thu Jul 28 17:39:51 2016 commencing in-memory singleton removal
- Thu Jul 28 17:39:54 2016 begin with 42923833 relations and 38306049 unique ideals
- Thu Jul 28 17:40:13 2016 reduce to 42630585 relations and 34828882 ideals in 6 passes
- Thu Jul 28 17:40:13 2016 max relations containing the same ideal: 85
- Thu Jul 28 17:40:30 2016 removing 5189413 relations and 3189413 ideals in 2000000 cliques
- Thu Jul 28 17:40:32 2016 commencing in-memory singleton removal
- Thu Jul 28 17:40:34 2016 begin with 37441172 relations and 34828882 unique ideals
- Thu Jul 28 17:40:54 2016 reduce to 37105694 relations and 31291082 ideals in 7 passes
- Thu Jul 28 17:40:54 2016 max relations containing the same ideal: 77
- Thu Jul 28 17:41:09 2016 removing 5224040 relations and 3224040 ideals in 2000000 cliques
- Thu Jul 28 17:41:10 2016 commencing in-memory singleton removal
- Thu Jul 28 17:41:13 2016 begin with 31881654 relations and 31291082 unique ideals
- Thu Jul 28 17:41:26 2016 reduce to 31481808 relations and 27649520 ideals in 6 passes
- Thu Jul 28 17:41:26 2016 max relations containing the same ideal: 69
- Thu Jul 28 17:41:39 2016 removing 5277122 relations and 3277122 ideals in 2000000 cliques
- Thu Jul 28 17:41:41 2016 commencing in-memory singleton removal
- Thu Jul 28 17:41:42 2016 begin with 26204686 relations and 27649520 unique ideals
- Thu Jul 28 17:41:57 2016 reduce to 25692024 relations and 23833252 ideals in 8 passes
- Thu Jul 28 17:41:57 2016 max relations containing the same ideal: 61
- Thu Jul 28 17:42:08 2016 removing 2606115 relations and 1752989 ideals in 853126 cliques
- Thu Jul 28 17:42:09 2016 commencing in-memory singleton removal
- Thu Jul 28 17:42:10 2016 begin with 23085909 relations and 23833252 unique ideals
- Thu Jul 28 17:42:21 2016 reduce to 22863470 relations and 21851084 ideals in 7 passes
- Thu Jul 28 17:42:21 2016 max relations containing the same ideal: 57
- Thu Jul 28 17:42:33 2016 relations with 0 large ideals: 33050
- Thu Jul 28 17:42:33 2016 relations with 1 large ideals: 26612
- Thu Jul 28 17:42:33 2016 relations with 2 large ideals: 311054
- Thu Jul 28 17:42:33 2016 relations with 3 large ideals: 1546844
- Thu Jul 28 17:42:33 2016 relations with 4 large ideals: 4017537
- Thu Jul 28 17:42:33 2016 relations with 5 large ideals: 6075622
- Thu Jul 28 17:42:33 2016 relations with 6 large ideals: 5657649
- Thu Jul 28 17:42:33 2016 relations with 7+ large ideals: 5195102
- Thu Jul 28 17:42:33 2016 commencing 2-way merge
- Thu Jul 28 17:42:46 2016 reduce to 15879966 relation sets and 14867580 unique ideals
- Thu Jul 28 17:42:46 2016 commencing full merge
- Thu Jul 28 17:48:52 2016 memory use: 1897.9 MB
- Thu Jul 28 17:48:54 2016 found 6790423 cycles, need 6773780
- Thu Jul 28 17:48:54 2016 weight of 6773780 cycles is about 914851001 (135.06/cycle)
- Thu Jul 28 17:48:54 2016 distribution of cycle lengths:
- Thu Jul 28 17:48:54 2016 1 relations: 140706
- Thu Jul 28 17:48:54 2016 2 relations: 266150
- Thu Jul 28 17:48:54 2016 3 relations: 355218
- Thu Jul 28 17:48:54 2016 4 relations: 403610
- Thu Jul 28 17:48:54 2016 5 relations: 447302
- Thu Jul 28 17:48:54 2016 6 relations: 469126
- Thu Jul 28 17:48:54 2016 7 relations: 480485
- Thu Jul 28 17:48:54 2016 8 relations: 472817
- Thu Jul 28 17:48:54 2016 9 relations: 457844
- Thu Jul 28 17:48:54 2016 10+ relations: 3280522
- Thu Jul 28 17:48:54 2016 heaviest cycle: 28 relations
- Thu Jul 28 17:48:56 2016 commencing cycle optimization
- Thu Jul 28 17:49:09 2016 start with 68806572 relations
- Thu Jul 28 17:52:34 2016 pruned 4215650 relations
- Thu Jul 28 17:52:34 2016 memory use: 1649.6 MB
- Thu Jul 28 17:52:34 2016 distribution of cycle lengths:
- Thu Jul 28 17:52:34 2016 1 relations: 140706
- Thu Jul 28 17:52:34 2016 2 relations: 273738
- Thu Jul 28 17:52:34 2016 3 relations: 372262
- Thu Jul 28 17:52:34 2016 4 relations: 424852
- Thu Jul 28 17:52:34 2016 5 relations: 476669
- Thu Jul 28 17:52:34 2016 6 relations: 501763
- Thu Jul 28 17:52:34 2016 7 relations: 518595
- Thu Jul 28 17:52:34 2016 8 relations: 509297
- Thu Jul 28 17:52:34 2016 9 relations: 493107
- Thu Jul 28 17:52:34 2016 10+ relations: 3062791
- Thu Jul 28 17:52:34 2016 heaviest cycle: 28 relations
- Thu Jul 28 17:52:44 2016 RelProcTime: 10999
- Thu Jul 28 17:52:44 2016
- Thu Jul 28 17:52:44 2016 commencing linear algebra
- Thu Jul 28 17:52:45 2016 read 6773780 cycles
- Thu Jul 28 17:53:01 2016 cycles contain 22402696 unique relations
- Thu Jul 28 17:59:53 2016 read 22402696 relations
- Thu Jul 28 18:00:33 2016 using 20 quadratic characters above 2147476074
- Thu Jul 28 18:02:13 2016 building initial matrix
- Thu Jul 28 18:07:23 2016 memory use: 2870.3 MB
- Thu Jul 28 18:07:49 2016 read 6773780 cycles
- Thu Jul 28 18:07:52 2016 matrix is 6773603 x 6773780 (3461.7 MB) with weight 993390681 (146.65/col)
- Thu Jul 28 18:07:52 2016 sparse part has weight 832940546 (122.97/col)
- Thu Jul 28 18:09:25 2016 filtering completed in 2 passes
- Thu Jul 28 18:09:27 2016 matrix is 6773551 x 6773728 (3461.7 MB) with weight 993388886 (146.65/col)
- Thu Jul 28 18:09:27 2016 sparse part has weight 832939952 (122.97/col)
- Thu Jul 28 18:10:31 2016 matrix starts at (0, 0)
- Thu Jul 28 18:10:33 2016 matrix is 6773551 x 6773728 (3461.7 MB) with weight 993388886 (146.65/col)
- Thu Jul 28 18:10:33 2016 sparse part has weight 832939952 (122.97/col)
- Thu Jul 28 18:10:33 2016 saving the first 48 matrix rows for later
- Thu Jul 28 18:10:36 2016 matrix includes 64 packed rows
- Thu Jul 28 18:10:37 2016 matrix is 6773503 x 6773728 (3328.6 MB) with weight 864247816 (127.59/col)
- Thu Jul 28 18:10:37 2016 sparse part has weight 804846910 (118.82/col)
- Thu Jul 28 18:10:37 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Thu Jul 28 18:11:18 2016 commencing Lanczos iteration (4 threads)
- Thu Jul 28 18:11:18 2016 memory use: 2833.2 MB
- Thu Jul 28 18:11:51 2016 linear algebra at 0.0%, ETA 39h51m
- Thu Jul 28 18:12:03 2016 checkpointing every 170000 dimensions
- Sat Jul 30 08:43:57 2016 lanczos halted after 107118 iterations (dim = 6773500)
- Sat Jul 30 08:44:08 2016 recovered 36 nontrivial dependencies
- Sat Jul 30 08:44:12 2016 BLanczosTime: 139888
- Sat Jul 30 08:44:12 2016
- Sat Jul 30 08:44:12 2016 commencing square root phase
- Sat Jul 30 08:44:12 2016 handling dependencies 1 to 64
- Sat Jul 30 08:44:12 2016 reading relations for dependency 1
- Sat Jul 30 08:44:14 2016 read 3387339 cycles
- Sat Jul 30 08:44:21 2016 cycles contain 11200428 unique relations
- Sat Jul 30 08:55:23 2016 read 11200428 relations
- Sat Jul 30 08:56:35 2016 multiplying 11200428 relations
- Sat Jul 30 09:07:22 2016 multiply complete, coefficients have about 280.18 million bits
- Sat Jul 30 09:07:26 2016 initial square root is modulo 106531
- Sat Jul 30 09:20:00 2016 sqrtTime: 2148
- Sat Jul 30 09:20:00 2016 prp76 factor: 5281260794580095264175535199904242986254642516504240765328706548630402349857
- Sat Jul 30 09:20:00 2016 prp132 factor: 326762188020206205161831351030703921685231060807278636334361595094802737820768369361826307304069663359824011034760214706458332836609
- Sat Jul 30 09:20:00 2016 elapsed time 42:30:37

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