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- Sat Dec 26 12:09:08 2015
- Sat Dec 26 12:09:08 2015
- Sat Dec 26 12:09:08 2015 Msieve v. 1.53 (SVN 988)
- Sat Dec 26 12:09:08 2015 random seeds: 4625150f 1327687c
- Sat Dec 26 12:09:08 2015 factoring 15313275357497264707326272438984865287920608656781406845258851014830121922924783970693681144312119110016244167947721381383094086709125294556558157345138304858612300074147596730022121813011225975937008959087506413 (212 digits)
- Sat Dec 26 12:09:09 2015 no P-1/P+1/ECM available, skipping
- Sat Dec 26 12:09:09 2015 commencing number field sieve (212-digit input)
- Sat Dec 26 12:09:09 2015 R0: -42535295865117307932921825928971026432
- Sat Dec 26 12:09:09 2015 R1: 1
- Sat Dec 26 12:09:09 2015 A0: 1
- Sat Dec 26 12:09:09 2015 A1: 0
- Sat Dec 26 12:09:09 2015 A2: 0
- Sat Dec 26 12:09:09 2015 A3: 0
- Sat Dec 26 12:09:09 2015 A4: 0
- Sat Dec 26 12:09:09 2015 A5: 0
- Sat Dec 26 12:09:09 2015 A6: 187
- Sat Dec 26 12:09:09 2015 skew 1.00, size 1.845e-11, alpha 1.636, combined = 9.990e-13 rroots = 0
- Sat Dec 26 12:09:09 2015
- Sat Dec 26 12:09:09 2015 commencing relation filtering
- Sat Dec 26 12:09:09 2015 setting target matrix density to 120.0
- Sat Dec 26 12:09:09 2015 estimated available RAM is 31929.5 MB
- Sat Dec 26 12:09:09 2015 commencing duplicate removal, pass 1
- Sat Dec 26 12:28:18 2015 skipped 62 relations with b > 2^32
- Sat Dec 26 12:28:18 2015 skipped 1 relations with composite factors
- Sat Dec 26 12:28:18 2015 found 6228927 hash collisions in 119913046 relations
- Sat Dec 26 12:28:38 2015 added 1219000 free relations
- Sat Dec 26 12:28:38 2015 commencing duplicate removal, pass 2
- Sat Dec 26 12:29:28 2015 found 0 duplicates and 121132046 unique relations
- Sat Dec 26 12:29:28 2015 memory use: 378.4 MB
- Sat Dec 26 12:29:28 2015 reading ideals above 720000
- Sat Dec 26 12:29:28 2015 commencing singleton removal, initial pass
- Sat Dec 26 12:52:39 2015 memory use: 2756.0 MB
- Sat Dec 26 12:52:39 2015 reading all ideals from disk
- Sat Dec 26 12:52:42 2015 memory use: 4615.2 MB
- Sat Dec 26 12:53:06 2015 keeping 96062055 ideals with weight <= 200, target excess is 611219
- Sat Dec 26 12:53:36 2015 commencing in-memory singleton removal
- Sat Dec 26 12:53:55 2015 begin with 121132046 relations and 96062055 unique ideals
- Sat Dec 26 12:58:15 2015 reduce to 94257475 relations and 67347818 ideals in 11 passes
- Sat Dec 26 12:58:15 2015 max relations containing the same ideal: 177
- Sat Dec 26 12:59:25 2015 removing 7380019 relations and 5380019 ideals in 2000000 cliques
- Sat Dec 26 12:59:28 2015 commencing in-memory singleton removal
- Sat Dec 26 12:59:42 2015 begin with 86877456 relations and 67347818 unique ideals
- Sat Dec 26 13:02:01 2015 reduce to 86411941 relations and 61490144 ideals in 7 passes
- Sat Dec 26 13:02:01 2015 max relations containing the same ideal: 170
- Sat Dec 26 13:03:05 2015 removing 5966875 relations and 3966875 ideals in 2000000 cliques
- Sat Dec 26 13:03:08 2015 commencing in-memory singleton removal
- Sat Dec 26 13:03:20 2015 begin with 80445066 relations and 61490144 unique ideals
- Sat Dec 26 13:05:08 2015 reduce to 80130503 relations and 57201452 ideals in 6 passes
- Sat Dec 26 13:05:08 2015 max relations containing the same ideal: 161
- Sat Dec 26 13:06:07 2015 removing 5593254 relations and 3593254 ideals in 2000000 cliques
- Sat Dec 26 13:06:10 2015 commencing in-memory singleton removal
- Sat Dec 26 13:06:21 2015 begin with 74537249 relations and 57201452 unique ideals
- Sat Dec 26 13:08:00 2015 reduce to 74263018 relations and 53327529 ideals in 6 passes
- Sat Dec 26 13:08:00 2015 max relations containing the same ideal: 154
- Sat Dec 26 13:08:54 2015 removing 5395388 relations and 3395388 ideals in 2000000 cliques
- Sat Dec 26 13:08:57 2015 commencing in-memory singleton removal
- Sat Dec 26 13:09:07 2015 begin with 68867630 relations and 53327529 unique ideals
- Sat Dec 26 13:10:37 2015 reduce to 68610573 relations and 49668906 ideals in 6 passes
- Sat Dec 26 13:10:37 2015 max relations containing the same ideal: 146
- Sat Dec 26 13:11:28 2015 removing 5268144 relations and 3268144 ideals in 2000000 cliques
- Sat Dec 26 13:11:30 2015 commencing in-memory singleton removal
- Sat Dec 26 13:11:39 2015 begin with 63342429 relations and 49668906 unique ideals
- Sat Dec 26 13:13:00 2015 reduce to 63091470 relations and 46143335 ideals in 6 passes
- Sat Dec 26 13:13:00 2015 max relations containing the same ideal: 140
- Sat Dec 26 13:13:46 2015 removing 5182750 relations and 3182750 ideals in 2000000 cliques
- Sat Dec 26 13:13:49 2015 commencing in-memory singleton removal
- Sat Dec 26 13:13:56 2015 begin with 57908720 relations and 46143335 unique ideals
- Sat Dec 26 13:15:09 2015 reduce to 57655785 relations and 42700813 ideals in 6 passes
- Sat Dec 26 13:15:09 2015 max relations containing the same ideal: 129
- Sat Dec 26 13:15:51 2015 removing 5118400 relations and 3118400 ideals in 2000000 cliques
- Sat Dec 26 13:15:54 2015 commencing in-memory singleton removal
- Sat Dec 26 13:16:01 2015 begin with 52537385 relations and 42700813 unique ideals
- Sat Dec 26 13:17:06 2015 reduce to 52276801 relations and 39314267 ideals in 6 passes
- Sat Dec 26 13:17:06 2015 max relations containing the same ideal: 121
- Sat Dec 26 13:17:44 2015 removing 5076164 relations and 3076164 ideals in 2000000 cliques
- Sat Dec 26 13:17:47 2015 commencing in-memory singleton removal
- Sat Dec 26 13:17:53 2015 begin with 47200637 relations and 39314267 unique ideals
- Sat Dec 26 13:18:50 2015 reduce to 46926019 relations and 35954647 ideals in 6 passes
- Sat Dec 26 13:18:50 2015 max relations containing the same ideal: 115
- Sat Dec 26 13:19:24 2015 removing 5048612 relations and 3048612 ideals in 2000000 cliques
- Sat Dec 26 13:19:27 2015 commencing in-memory singleton removal
- Sat Dec 26 13:19:32 2015 begin with 41877407 relations and 35954647 unique ideals
- Sat Dec 26 13:20:22 2015 reduce to 41580997 relations and 32599060 ideals in 6 passes
- Sat Dec 26 13:20:22 2015 max relations containing the same ideal: 106
- Sat Dec 26 13:20:52 2015 removing 5032282 relations and 3032282 ideals in 2000000 cliques
- Sat Dec 26 13:20:54 2015 commencing in-memory singleton removal
- Sat Dec 26 13:20:59 2015 begin with 36548715 relations and 32599060 unique ideals
- Sat Dec 26 13:21:41 2015 reduce to 36219181 relations and 29224305 ideals in 6 passes
- Sat Dec 26 13:21:41 2015 max relations containing the same ideal: 97
- Sat Dec 26 13:22:07 2015 removing 5029037 relations and 3029037 ideals in 2000000 cliques
- Sat Dec 26 13:22:09 2015 commencing in-memory singleton removal
- Sat Dec 26 13:22:13 2015 begin with 31190144 relations and 29224305 unique ideals
- Sat Dec 26 13:22:48 2015 reduce to 30813837 relations and 25802380 ideals in 6 passes
- Sat Dec 26 13:22:48 2015 max relations containing the same ideal: 83
- Sat Dec 26 13:23:10 2015 removing 5040592 relations and 3040592 ideals in 2000000 cliques
- Sat Dec 26 13:23:12 2015 commencing in-memory singleton removal
- Sat Dec 26 13:23:15 2015 begin with 25773245 relations and 25802380 unique ideals
- Sat Dec 26 13:23:43 2015 reduce to 25320526 relations and 22285281 ideals in 6 passes
- Sat Dec 26 13:23:43 2015 max relations containing the same ideal: 76
- Sat Dec 26 13:24:02 2015 removing 5074194 relations and 3074194 ideals in 2000000 cliques
- Sat Dec 26 13:24:04 2015 commencing in-memory singleton removal
- Sat Dec 26 13:24:06 2015 begin with 20246332 relations and 22285281 unique ideals
- Sat Dec 26 13:24:34 2015 reduce to 19655392 relations and 18582149 ideals in 8 passes
- Sat Dec 26 13:24:34 2015 max relations containing the same ideal: 63
- Sat Dec 26 13:24:48 2015 removing 1239395 relations and 875167 ideals in 364228 cliques
- Sat Dec 26 13:24:49 2015 commencing in-memory singleton removal
- Sat Dec 26 13:24:52 2015 begin with 18415997 relations and 18582149 unique ideals
- Sat Dec 26 13:25:10 2015 reduce to 18328046 relations and 17617240 ideals in 6 passes
- Sat Dec 26 13:25:10 2015 max relations containing the same ideal: 60
- Sat Dec 26 13:25:27 2015 relations with 0 large ideals: 22890
- Sat Dec 26 13:25:27 2015 relations with 1 large ideals: 14857
- Sat Dec 26 13:25:27 2015 relations with 2 large ideals: 172935
- Sat Dec 26 13:25:27 2015 relations with 3 large ideals: 937027
- Sat Dec 26 13:25:27 2015 relations with 4 large ideals: 2690533
- Sat Dec 26 13:25:27 2015 relations with 5 large ideals: 4549629
- Sat Dec 26 13:25:27 2015 relations with 6 large ideals: 4772594
- Sat Dec 26 13:25:27 2015 relations with 7+ large ideals: 5167581
- Sat Dec 26 13:25:27 2015 commencing 2-way merge
- Sat Dec 26 13:25:43 2015 reduce to 13103944 relation sets and 12393138 unique ideals
- Sat Dec 26 13:25:43 2015 commencing full merge
- Sat Dec 26 13:34:01 2015 memory use: 1584.5 MB
- Sat Dec 26 13:34:03 2015 found 5842914 cycles, need 5791338
- Sat Dec 26 13:34:05 2015 weight of 5791338 cycles is about 695040094 (120.01/cycle)
- Sat Dec 26 13:34:05 2015 distribution of cycle lengths:
- Sat Dec 26 13:34:05 2015 1 relations: 147222
- Sat Dec 26 13:34:05 2015 2 relations: 291916
- Sat Dec 26 13:34:05 2015 3 relations: 389177
- Sat Dec 26 13:34:05 2015 4 relations: 428604
- Sat Dec 26 13:34:05 2015 5 relations: 460413
- Sat Dec 26 13:34:05 2015 6 relations: 466982
- Sat Dec 26 13:34:05 2015 7 relations: 456416
- Sat Dec 26 13:34:05 2015 8 relations: 436054
- Sat Dec 26 13:34:05 2015 9 relations: 403631
- Sat Dec 26 13:34:05 2015 10+ relations: 2310923
- Sat Dec 26 13:34:05 2015 heaviest cycle: 28 relations
- Sat Dec 26 13:34:07 2015 commencing cycle optimization
- Sat Dec 26 13:34:30 2015 start with 51760521 relations
- Sat Dec 26 13:37:55 2015 pruned 2958794 relations
- Sat Dec 26 13:37:55 2015 memory use: 1295.0 MB
- Sat Dec 26 13:37:55 2015 distribution of cycle lengths:
- Sat Dec 26 13:37:55 2015 1 relations: 147222
- Sat Dec 26 13:37:55 2015 2 relations: 300885
- Sat Dec 26 13:37:55 2015 3 relations: 409047
- Sat Dec 26 13:37:55 2015 4 relations: 452621
- Sat Dec 26 13:37:55 2015 5 relations: 491117
- Sat Dec 26 13:37:55 2015 6 relations: 497657
- Sat Dec 26 13:37:55 2015 7 relations: 489640
- Sat Dec 26 13:37:55 2015 8 relations: 463322
- Sat Dec 26 13:37:55 2015 9 relations: 427821
- Sat Dec 26 13:37:55 2015 10+ relations: 2112006
- Sat Dec 26 13:37:55 2015 heaviest cycle: 28 relations
- Sat Dec 26 13:38:08 2015 RelProcTime: 5339
- Sat Dec 26 13:38:08 2015 elapsed time 01:29:00
- Sun Dec 27 22:40:48 2015
- Sun Dec 27 22:40:48 2015
- Sun Dec 27 22:40:48 2015 Msieve v. 1.53 (SVN 988)
- Sun Dec 27 22:40:48 2015 random seeds: 5181b757 f6dae6d0
- Sun Dec 27 22:40:48 2015 factoring 15313275357497264707326272438984865287920608656781406845258851014830121922924783970693681144312119110016244167947721381383094086709125294556558157345138304858612300074147596730022121813011225975937008959087506413 (212 digits)
- Sun Dec 27 22:40:50 2015 no P-1/P+1/ECM available, skipping
- Sun Dec 27 22:40:50 2015 commencing number field sieve (212-digit input)
- Sun Dec 27 22:40:50 2015 R0: -42535295865117307932921825928971026432
- Sun Dec 27 22:40:50 2015 R1: 1
- Sun Dec 27 22:40:50 2015 A0: 1
- Sun Dec 27 22:40:50 2015 A1: 0
- Sun Dec 27 22:40:50 2015 A2: 0
- Sun Dec 27 22:40:50 2015 A3: 0
- Sun Dec 27 22:40:50 2015 A4: 0
- Sun Dec 27 22:40:50 2015 A5: 0
- Sun Dec 27 22:40:50 2015 A6: 187
- Sun Dec 27 22:40:50 2015 skew 1.00, size 1.845e-11, alpha 1.636, combined = 9.990e-13 rroots = 0
- Sun Dec 27 22:40:50 2015
- Sun Dec 27 22:40:50 2015 commencing linear algebra
- Sun Dec 27 22:40:50 2015 read 5791338 cycles
- Sun Dec 27 22:41:12 2015 cycles contain 18018592 unique relations
- Sun Dec 27 22:43:19 2015 read 18018592 relations
- Sun Dec 27 22:44:04 2015 using 20 quadratic characters above 4294917295
- Sun Dec 27 22:45:20 2015 building initial matrix
- Sun Dec 27 22:52:53 2015 memory use: 2362.9 MB
- Sun Dec 27 22:52:56 2015 read 5791338 cycles
- Sun Dec 27 22:52:58 2015 matrix is 5791160 x 5791338 (2679.1 MB) with weight 765256259 (132.14/col)
- Sun Dec 27 22:52:58 2015 sparse part has weight 638611952 (110.27/col)
- Sun Dec 27 22:54:50 2015 filtering completed in 2 passes
- Sun Dec 27 22:54:52 2015 matrix is 5790978 x 5791156 (2679.1 MB) with weight 765249032 (132.14/col)
- Sun Dec 27 22:54:52 2015 sparse part has weight 638608756 (110.27/col)
- Sun Dec 27 22:55:17 2015 matrix starts at (0, 0)
- Sun Dec 27 22:55:18 2015 matrix is 5790978 x 5791156 (2679.1 MB) with weight 765249032 (132.14/col)
- Sun Dec 27 22:55:18 2015 sparse part has weight 638608756 (110.27/col)
- Sun Dec 27 22:55:18 2015 saving the first 48 matrix rows for later
- Sun Dec 27 22:55:19 2015 matrix includes 64 packed rows
- Sun Dec 27 22:55:20 2015 matrix is 5790930 x 5791156 (2564.4 MB) with weight 658374783 (113.69/col)
- Sun Dec 27 22:55:20 2015 sparse part has weight 614330400 (106.08/col)
- Sun Dec 27 22:55:21 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sun Dec 27 22:55:50 2015 commencing Lanczos iteration (4 threads)
- Sun Dec 27 22:55:50 2015 memory use: 2151.2 MB
- Sun Dec 27 22:56:42 2015 linear algebra at 0.0%, ETA 52h54m
- Sun Dec 27 22:56:58 2015 checkpointing every 120000 dimensions
- Mon Dec 28 22:24:34 2015 lanczos halted after 91575 iterations (dim = 5790925)
- Mon Dec 28 22:24:39 2015 recovered 34 nontrivial dependencies
- Mon Dec 28 22:24:39 2015 BLanczosTime: 85429
- Mon Dec 28 22:24:39 2015 elapsed time 23:43:51
- Mon Dec 28 22:34:25 2015
- Mon Dec 28 22:34:25 2015
- Mon Dec 28 22:34:25 2015 Msieve v. 1.53 (SVN 988)
- Mon Dec 28 22:34:25 2015 random seeds: 2c7cf39a 3cf68954
- Mon Dec 28 22:34:25 2015 factoring 15313275357497264707326272438984865287920608656781406845258851014830121922924783970693681144312119110016244167947721381383094086709125294556558157345138304858612300074147596730022121813011225975937008959087506413 (212 digits)
- Mon Dec 28 22:34:26 2015 no P-1/P+1/ECM available, skipping
- Mon Dec 28 22:34:26 2015 commencing number field sieve (212-digit input)
- Mon Dec 28 22:34:26 2015 R0: -42535295865117307932921825928971026432
- Mon Dec 28 22:34:26 2015 R1: 1
- Mon Dec 28 22:34:26 2015 A0: 1
- Mon Dec 28 22:34:26 2015 A1: 0
- Mon Dec 28 22:34:26 2015 A2: 0
- Mon Dec 28 22:34:26 2015 A3: 0
- Mon Dec 28 22:34:26 2015 A4: 0
- Mon Dec 28 22:34:26 2015 A5: 0
- Mon Dec 28 22:34:26 2015 A6: 187
- Mon Dec 28 22:34:26 2015 skew 1.00, size 1.845e-11, alpha 1.636, combined = 9.990e-13 rroots = 0
- Mon Dec 28 22:34:26 2015
- Mon Dec 28 22:34:26 2015 commencing square root phase
- Mon Dec 28 22:34:26 2015 reading relations for dependency 1
- Mon Dec 28 22:34:26 2015 read 2892809 cycles
- Mon Dec 28 22:34:33 2015 cycles contain 9002686 unique relations
- Mon Dec 28 22:35:42 2015 read 9002686 relations
- Mon Dec 28 22:36:55 2015 multiplying 9002686 relations
- Mon Dec 28 22:48:58 2015 multiply complete, coefficients have about 283.71 million bits
- Mon Dec 28 22:48:59 2015 initial square root is modulo 123229
- Mon Dec 28 23:02:30 2015 GCD is 1, no factor found
- Mon Dec 28 23:02:30 2015 reading relations for dependency 2
- Mon Dec 28 23:02:31 2015 read 2895219 cycles
- Mon Dec 28 23:02:40 2015 cycles contain 9013588 unique relations
- Mon Dec 28 23:03:51 2015 read 9013588 relations
- Mon Dec 28 23:05:02 2015 multiplying 9013588 relations
- Mon Dec 28 23:16:59 2015 multiply complete, coefficients have about 284.04 million bits
- Mon Dec 28 23:17:00 2015 initial square root is modulo 124951
- Mon Dec 28 23:30:33 2015 sqrtTime: 3367
- Mon Dec 28 23:30:33 2015 p101 factor: 18143578957112903024219208128943064170091130559885591410019364935058555931716545645750762965103877397
- Mon Dec 28 23:30:33 2015 p111 factor: 844005220452601906434351028899191443018391831514749834501830373919894736659932478555984863889143657410223972729
- Mon Dec 28 23:30:33 2015 elapsed time 00:56:08
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