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- Sun Apr 7 20:17:33 2019
- Sun Apr 7 20:17:33 2019
- Sun Apr 7 20:17:33 2019 Msieve v. 1.53 (SVN 988M)
- Sun Apr 7 20:17:33 2019 random seeds: df7300c2 8ed86f31
- Sun Apr 7 20:17:33 2019 factoring 1853850230723632249136921930341024637904473174796123981355911899141339467647426658257965662420965831050171314381836328397016461769476177816266078119193669622205965589493810119034728721473915294386131 (199 digits)
- Sun Apr 7 20:17:34 2019 searching for 15-digit factors
- Sun Apr 7 20:17:35 2019 commencing number field sieve (199-digit input)
- Sun Apr 7 20:17:35 2019 R0: -21836926389153323842166590452666523801
- Sun Apr 7 20:17:35 2019 R1: 1
- Sun Apr 7 20:17:35 2019 A0: 861858865016227
- Sun Apr 7 20:17:35 2019 A1: 0
- Sun Apr 7 20:17:35 2019 A2: 0
- Sun Apr 7 20:17:35 2019 A3: 29349304
- Sun Apr 7 20:17:35 2019 A4: 0
- Sun Apr 7 20:17:35 2019 A5: 0
- Sun Apr 7 20:17:35 2019 A6: 1
- Sun Apr 7 20:17:35 2019 skew 308.50, size 2.181e-12, alpha -1.462, combined = 2.204e-13 rroots = 0
- Sun Apr 7 20:17:35 2019
- Sun Apr 7 20:17:35 2019 commencing relation filtering
- Sun Apr 7 20:17:35 2019 setting target matrix density to 130.0
- Sun Apr 7 20:17:35 2019 estimated available RAM is 32768.0 MB
- Sun Apr 7 20:17:35 2019 commencing duplicate removal, pass 1
- Sun Apr 7 20:18:49 2019 error -1 reading relation 11700080
- [22516 more error lines]
- Sun Apr 7 20:46:06 2019 error -15 reading relation 265036723
- Sun Apr 7 20:46:07 2019 skipped 159 relations with b > 2^32
- Sun Apr 7 20:46:07 2019 skipped 3420 relations with composite factors
- Sun Apr 7 20:46:07 2019 found 57293811 hash collisions in 265063430 relations
- Sun Apr 7 20:46:16 2019 added 813731 free relations
- Sun Apr 7 20:46:16 2019 commencing duplicate removal, pass 2
- Sun Apr 7 20:50:01 2019 found 57950647 duplicates and 207926514 unique relations
- Sun Apr 7 20:50:01 2019 memory use: 1449.5 MB
- Sun Apr 7 20:50:01 2019 reading ideals above 199819264
- Sun Apr 7 20:50:01 2019 commencing singleton removal, initial pass
- Sun Apr 7 21:06:52 2019 memory use: 3012.0 MB
- Sun Apr 7 21:06:52 2019 reading all ideals from disk
- Sun Apr 7 21:06:54 2019 memory use: 3327.0 MB
- Sun Apr 7 21:07:00 2019 commencing in-memory singleton removal
- Sun Apr 7 21:07:06 2019 begin with 207926514 relations and 157326616 unique ideals
- Sun Apr 7 21:08:17 2019 reduce to 145278846 relations and 89076777 ideals in 12 passes
- Sun Apr 7 21:08:17 2019 max relations containing the same ideal: 39
- Sun Apr 7 21:08:28 2019 reading ideals above 720000
- Sun Apr 7 21:08:28 2019 commencing singleton removal, initial pass
- Sun Apr 7 21:24:42 2019 memory use: 3012.0 MB
- Sun Apr 7 21:24:42 2019 reading all ideals from disk
- Sun Apr 7 21:24:47 2019 memory use: 5680.7 MB
- Sun Apr 7 21:24:59 2019 keeping 110478339 ideals with weight <= 200, target excess is 743624
- Sun Apr 7 21:25:12 2019 commencing in-memory singleton removal
- Sun Apr 7 21:25:22 2019 begin with 145278846 relations and 110478339 unique ideals
- Sun Apr 7 21:26:49 2019 reduce to 145244960 relations and 110444449 ideals in 8 passes
- Sun Apr 7 21:26:49 2019 max relations containing the same ideal: 200
- Sun Apr 7 21:27:41 2019 removing 9984572 relations and 7984572 ideals in 2000000 cliques
- Sun Apr 7 21:27:45 2019 commencing in-memory singleton removal
- Sun Apr 7 21:27:54 2019 begin with 135260388 relations and 110444449 unique ideals
- Sun Apr 7 21:29:15 2019 reduce to 134756548 relations and 101947194 ideals in 8 passes
- Sun Apr 7 21:29:15 2019 max relations containing the same ideal: 198
- Sun Apr 7 21:30:03 2019 removing 7630615 relations and 5630615 ideals in 2000000 cliques
- Sun Apr 7 21:30:06 2019 commencing in-memory singleton removal
- Sun Apr 7 21:30:15 2019 begin with 127125933 relations and 101947194 unique ideals
- Sun Apr 7 21:31:21 2019 reduce to 126786688 relations and 95972296 ideals in 7 passes
- Sun Apr 7 21:31:21 2019 max relations containing the same ideal: 193
- Sun Apr 7 21:32:07 2019 removing 6940523 relations and 4940523 ideals in 2000000 cliques
- Sun Apr 7 21:32:10 2019 commencing in-memory singleton removal
- Sun Apr 7 21:32:18 2019 begin with 119846165 relations and 95972296 unique ideals
- Sun Apr 7 21:33:20 2019 reduce to 119551825 relations and 90732922 ideals in 7 passes
- Sun Apr 7 21:33:20 2019 max relations containing the same ideal: 185
- Sun Apr 7 21:34:05 2019 removing 6586847 relations and 4586847 ideals in 2000000 cliques
- Sun Apr 7 21:34:07 2019 commencing in-memory singleton removal
- Sun Apr 7 21:34:15 2019 begin with 112964978 relations and 90732922 unique ideals
- Sun Apr 7 21:35:13 2019 reduce to 112692283 relations and 85869268 ideals in 7 passes
- Sun Apr 7 21:35:13 2019 max relations containing the same ideal: 181
- Sun Apr 7 21:35:54 2019 removing 6361614 relations and 4361614 ideals in 2000000 cliques
- Sun Apr 7 21:35:57 2019 commencing in-memory singleton removal
- Sun Apr 7 21:36:04 2019 begin with 106330669 relations and 85869268 unique ideals
- Sun Apr 7 21:36:51 2019 reduce to 106070095 relations and 81242920 ideals in 6 passes
- Sun Apr 7 21:36:51 2019 max relations containing the same ideal: 173
- Sun Apr 7 21:37:30 2019 removing 6202473 relations and 4202473 ideals in 2000000 cliques
- Sun Apr 7 21:37:32 2019 commencing in-memory singleton removal
- Sun Apr 7 21:37:39 2019 begin with 99867622 relations and 81242920 unique ideals
- Sun Apr 7 21:38:23 2019 reduce to 99612202 relations and 76780761 ideals in 6 passes
- Sun Apr 7 21:38:23 2019 max relations containing the same ideal: 168
- Sun Apr 7 21:38:59 2019 removing 6083492 relations and 4083492 ideals in 2000000 cliques
- Sun Apr 7 21:39:01 2019 commencing in-memory singleton removal
- Sun Apr 7 21:39:08 2019 begin with 93528710 relations and 76780761 unique ideals
- Sun Apr 7 21:39:55 2019 reduce to 93274891 relations and 72438825 ideals in 7 passes
- Sun Apr 7 21:39:55 2019 max relations containing the same ideal: 158
- Sun Apr 7 21:40:30 2019 removing 5997140 relations and 3997140 ideals in 2000000 cliques
- Sun Apr 7 21:40:32 2019 commencing in-memory singleton removal
- Sun Apr 7 21:40:38 2019 begin with 87277751 relations and 72438825 unique ideals
- Sun Apr 7 21:41:16 2019 reduce to 87021683 relations and 68180702 ideals in 6 passes
- Sun Apr 7 21:41:16 2019 max relations containing the same ideal: 151
- Sun Apr 7 21:41:48 2019 removing 5927548 relations and 3927548 ideals in 2000000 cliques
- Sun Apr 7 21:41:50 2019 commencing in-memory singleton removal
- Sun Apr 7 21:41:56 2019 begin with 81094135 relations and 68180702 unique ideals
- Sun Apr 7 21:42:36 2019 reduce to 80834097 relations and 63987825 ideals in 7 passes
- Sun Apr 7 21:42:36 2019 max relations containing the same ideal: 145
- Sun Apr 7 21:43:07 2019 removing 5869141 relations and 3869141 ideals in 2000000 cliques
- Sun Apr 7 21:43:09 2019 commencing in-memory singleton removal
- Sun Apr 7 21:43:14 2019 begin with 74964956 relations and 63987825 unique ideals
- Sun Apr 7 21:43:46 2019 reduce to 74694910 relations and 59842689 ideals in 6 passes
- Sun Apr 7 21:43:46 2019 max relations containing the same ideal: 138
- Sun Apr 7 21:44:13 2019 removing 5828261 relations and 3828261 ideals in 2000000 cliques
- Sun Apr 7 21:44:16 2019 commencing in-memory singleton removal
- Sun Apr 7 21:44:20 2019 begin with 68866649 relations and 59842689 unique ideals
- Sun Apr 7 21:44:49 2019 reduce to 68587174 relations and 55728353 ideals in 6 passes
- Sun Apr 7 21:44:49 2019 max relations containing the same ideal: 129
- Sun Apr 7 21:45:15 2019 removing 5792984 relations and 3792984 ideals in 2000000 cliques
- Sun Apr 7 21:45:17 2019 commencing in-memory singleton removal
- Sun Apr 7 21:45:21 2019 begin with 62794190 relations and 55728353 unique ideals
- Sun Apr 7 21:45:48 2019 reduce to 62498887 relations and 51632448 ideals in 6 passes
- Sun Apr 7 21:45:48 2019 max relations containing the same ideal: 121
- Sun Apr 7 21:46:11 2019 removing 5766511 relations and 3766511 ideals in 2000000 cliques
- Sun Apr 7 21:46:13 2019 commencing in-memory singleton removal
- Sun Apr 7 21:46:17 2019 begin with 56732376 relations and 51632448 unique ideals
- Sun Apr 7 21:46:41 2019 reduce to 56417363 relations and 47542335 ideals in 6 passes
- Sun Apr 7 21:46:41 2019 max relations containing the same ideal: 113
- Sun Apr 7 21:47:02 2019 removing 5748799 relations and 3748799 ideals in 2000000 cliques
- Sun Apr 7 21:47:04 2019 commencing in-memory singleton removal
- Sun Apr 7 21:47:07 2019 begin with 50668564 relations and 47542335 unique ideals
- Sun Apr 7 21:47:35 2019 reduce to 50324057 relations and 43438461 ideals in 8 passes
- Sun Apr 7 21:47:35 2019 max relations containing the same ideal: 105
- Sun Apr 7 21:47:55 2019 removing 5744924 relations and 3744924 ideals in 2000000 cliques
- Sun Apr 7 21:47:57 2019 commencing in-memory singleton removal
- Sun Apr 7 21:47:59 2019 begin with 44579133 relations and 43438461 unique ideals
- Sun Apr 7 21:48:21 2019 reduce to 44191316 relations and 39292721 ideals in 7 passes
- Sun Apr 7 21:48:21 2019 max relations containing the same ideal: 97
- Sun Apr 7 21:48:38 2019 removing 5760070 relations and 3760070 ideals in 2000000 cliques
- Sun Apr 7 21:48:39 2019 commencing in-memory singleton removal
- Sun Apr 7 21:48:42 2019 begin with 38431246 relations and 39292721 unique ideals
- Sun Apr 7 21:49:02 2019 reduce to 37973245 relations and 35057460 ideals in 8 passes
- Sun Apr 7 21:49:02 2019 max relations containing the same ideal: 86
- Sun Apr 7 21:49:17 2019 removing 5813355 relations and 3813355 ideals in 2000000 cliques
- Sun Apr 7 21:49:18 2019 commencing in-memory singleton removal
- Sun Apr 7 21:49:20 2019 begin with 32159890 relations and 35057460 unique ideals
- Sun Apr 7 21:49:38 2019 reduce to 31582736 relations and 30641796 ideals in 8 passes
- Sun Apr 7 21:49:38 2019 max relations containing the same ideal: 76
- Sun Apr 7 21:49:50 2019 removing 404204 relations and 325868 ideals in 78336 cliques
- Sun Apr 7 21:49:51 2019 commencing in-memory singleton removal
- Sun Apr 7 21:49:52 2019 begin with 31178532 relations and 30641796 unique ideals
- Sun Apr 7 21:50:03 2019 reduce to 31174572 relations and 30311957 ideals in 5 passes
- Sun Apr 7 21:50:03 2019 max relations containing the same ideal: 76
- Sun Apr 7 21:50:07 2019 relations with 0 large ideals: 19159
- Sun Apr 7 21:50:07 2019 relations with 1 large ideals: 14993
- Sun Apr 7 21:50:07 2019 relations with 2 large ideals: 207306
- Sun Apr 7 21:50:07 2019 relations with 3 large ideals: 1217789
- Sun Apr 7 21:50:07 2019 relations with 4 large ideals: 3819152
- Sun Apr 7 21:50:07 2019 relations with 5 large ideals: 7116286
- Sun Apr 7 21:50:07 2019 relations with 6 large ideals: 8280724
- Sun Apr 7 21:50:07 2019 relations with 7+ large ideals: 10499163
- Sun Apr 7 21:50:07 2019 commencing 2-way merge
- Sun Apr 7 21:50:24 2019 reduce to 21405742 relation sets and 20543127 unique ideals
- Sun Apr 7 21:50:24 2019 commencing full merge
- Sun Apr 7 21:57:43 2019 memory use: 2603.2 MB
- Sun Apr 7 21:57:48 2019 found 9250258 cycles, need 9239327
- Sun Apr 7 21:57:48 2019 weight of 9239327 cycles is about 1201715112 (130.07/cycle)
- Sun Apr 7 21:57:48 2019 distribution of cycle lengths:
- Sun Apr 7 21:57:48 2019 1 relations: 247445
- Sun Apr 7 21:57:48 2019 2 relations: 424484
- Sun Apr 7 21:57:48 2019 3 relations: 544730
- Sun Apr 7 21:57:48 2019 4 relations: 598207
- Sun Apr 7 21:57:48 2019 5 relations: 649400
- Sun Apr 7 21:57:48 2019 6 relations: 665402
- Sun Apr 7 21:57:48 2019 7 relations: 668424
- Sun Apr 7 21:57:48 2019 8 relations: 652649
- Sun Apr 7 21:57:48 2019 9 relations: 620961
- Sun Apr 7 21:57:48 2019 10+ relations: 4167625
- Sun Apr 7 21:57:48 2019 heaviest cycle: 28 relations
- Sun Apr 7 21:57:51 2019 commencing cycle optimization
- Sun Apr 7 21:58:13 2019 start with 89401694 relations
- Sun Apr 7 22:02:11 2019 pruned 4990373 relations
- Sun Apr 7 22:02:11 2019 memory use: 2213.9 MB
- Sun Apr 7 22:02:11 2019 distribution of cycle lengths:
- Sun Apr 7 22:02:11 2019 1 relations: 247445
- Sun Apr 7 22:02:11 2019 2 relations: 436684
- Sun Apr 7 22:02:11 2019 3 relations: 569921
- Sun Apr 7 22:02:11 2019 4 relations: 628571
- Sun Apr 7 22:02:11 2019 5 relations: 690089
- Sun Apr 7 22:02:11 2019 6 relations: 706951
- Sun Apr 7 22:02:11 2019 7 relations: 714916
- Sun Apr 7 22:02:11 2019 8 relations: 695038
- Sun Apr 7 22:02:11 2019 9 relations: 661207
- Sun Apr 7 22:02:11 2019 10+ relations: 3888505
- Sun Apr 7 22:02:11 2019 heaviest cycle: 28 relations
- Sun Apr 7 22:02:33 2019 RelProcTime: 6298
- Sun Apr 7 22:02:33 2019
- Sun Apr 7 22:02:33 2019 commencing linear algebra
- Sun Apr 7 22:02:35 2019 read 9239327 cycles
- Sun Apr 7 22:02:56 2019 cycles contain 30787264 unique relations
- Sun Apr 7 22:07:10 2019 read 30787264 relations
- Sun Apr 7 22:08:15 2019 using 20 quadratic characters above 4294917295
- Sun Apr 7 22:10:04 2019 building initial matrix
- Sun Apr 7 22:15:45 2019 memory use: 3990.4 MB
- Sun Apr 7 22:15:53 2019 read 9239327 cycles
- Sun Apr 7 22:15:54 2019 matrix is 9239149 x 9239327 (4609.9 MB) with weight 1330592266 (144.01/col)
- Sun Apr 7 22:15:54 2019 sparse part has weight 1106825562 (119.80/col)
- Sun Apr 7 22:17:32 2019 filtering completed in 2 passes
- Sun Apr 7 22:17:34 2019 matrix is 9239095 x 9239273 (4609.9 MB) with weight 1330590124 (144.01/col)
- Sun Apr 7 22:17:34 2019 sparse part has weight 1106824691 (119.80/col)
- Sun Apr 7 22:18:06 2019 matrix starts at (0, 0)
- Sun Apr 7 22:18:07 2019 matrix is 9239095 x 9239273 (4609.9 MB) with weight 1330590124 (144.01/col)
- Sun Apr 7 22:18:07 2019 sparse part has weight 1106824691 (119.80/col)
- Sun Apr 7 22:18:07 2019 saving the first 48 matrix rows for later
- Sun Apr 7 22:18:08 2019 matrix includes 64 packed rows
- Sun Apr 7 22:18:09 2019 matrix is 9239047 x 9239273 (4435.8 MB) with weight 1153361683 (124.83/col)
- Sun Apr 7 22:18:09 2019 sparse part has weight 1070418994 (115.86/col)
- Sun Apr 7 22:18:09 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
- Sun Apr 7 22:18:56 2019 commencing Lanczos iteration (8 threads)
- Sun Apr 7 22:18:56 2019 memory use: 3768.9 MB
- Sun Apr 7 22:19:15 2019 linear algebra at 0.0%, ETA 30h28m
- Sun Apr 7 22:19:21 2019 checkpointing every 310000 dimensions
- Tue Apr 9 04:33:03 2019 lanczos halted after 146112 iterations (dim = 9239045)
- Tue Apr 9 04:33:12 2019 recovered 29 nontrivial dependencies
- Tue Apr 9 04:33:13 2019 BLanczosTime: 109840
- Tue Apr 9 04:33:13 2019
- Tue Apr 9 04:33:13 2019 commencing square root phase
- Tue Apr 9 04:33:13 2019 handling dependencies 1 to 64
- Tue Apr 9 04:33:13 2019 reading relations for dependency 1
- Tue Apr 9 04:33:15 2019 read 4617203 cycles
- Tue Apr 9 04:33:25 2019 cycles contain 15387094 unique relations
- Tue Apr 9 04:36:44 2019 read 15387094 relations
- Tue Apr 9 04:37:50 2019 multiplying 15387094 relations
- Tue Apr 9 04:46:35 2019 multiply complete, coefficients have about 448.81 million bits
- Tue Apr 9 04:46:36 2019 initial square root is modulo 112996463
- Tue Apr 9 04:55:50 2019 GCD is 1, no factor found
- Tue Apr 9 04:55:50 2019 reading relations for dependency 2
- Tue Apr 9 04:55:51 2019 read 4619547 cycles
- Tue Apr 9 04:56:01 2019 cycles contain 15394586 unique relations
- Tue Apr 9 04:59:20 2019 read 15394586 relations
- Tue Apr 9 05:00:25 2019 multiplying 15394586 relations
- Tue Apr 9 05:09:06 2019 multiply complete, coefficients have about 449.03 million bits
- Tue Apr 9 05:09:07 2019 initial square root is modulo 114033923
- Tue Apr 9 05:18:20 2019 GCD is 1, no factor found
- Tue Apr 9 05:18:20 2019 reading relations for dependency 3
- Tue Apr 9 05:18:22 2019 read 4620417 cycles
- Tue Apr 9 05:18:32 2019 cycles contain 15391886 unique relations
- Tue Apr 9 05:21:51 2019 read 15391886 relations
- Tue Apr 9 05:22:55 2019 multiplying 15391886 relations
- Tue Apr 9 05:31:36 2019 multiply complete, coefficients have about 448.95 million bits
- Tue Apr 9 05:31:38 2019 initial square root is modulo 113675117
- Tue Apr 9 05:40:50 2019 GCD is 1, no factor found
- Tue Apr 9 05:40:50 2019 reading relations for dependency 4
- Tue Apr 9 05:40:52 2019 read 4619739 cycles
- Tue Apr 9 05:41:02 2019 cycles contain 15392760 unique relations
- Tue Apr 9 05:44:21 2019 read 15392760 relations
- Tue Apr 9 05:45:26 2019 multiplying 15392760 relations
- Tue Apr 9 05:54:07 2019 multiply complete, coefficients have about 448.98 million bits
- Tue Apr 9 05:54:08 2019 initial square root is modulo 113792291
- Tue Apr 9 06:03:21 2019 GCD is N, no factor found
- Tue Apr 9 06:03:21 2019 reading relations for dependency 5
- Tue Apr 9 06:03:23 2019 read 4620000 cycles
- Tue Apr 9 06:03:33 2019 cycles contain 15394386 unique relations
- Tue Apr 9 06:06:52 2019 read 15394386 relations
- Tue Apr 9 06:07:57 2019 multiplying 15394386 relations
- Tue Apr 9 06:16:37 2019 multiply complete, coefficients have about 449.02 million bits
- Tue Apr 9 06:16:38 2019 initial square root is modulo 113999969
- Tue Apr 9 06:25:51 2019 GCD is N, no factor found
- Tue Apr 9 06:25:51 2019 reading relations for dependency 6
- Tue Apr 9 06:25:53 2019 read 4621725 cycles
- Tue Apr 9 06:26:03 2019 cycles contain 15400254 unique relations
- Tue Apr 9 06:29:22 2019 read 15400254 relations
- Tue Apr 9 06:30:27 2019 multiplying 15400254 relations
- Tue Apr 9 06:39:07 2019 multiply complete, coefficients have about 449.20 million bits
- Tue Apr 9 06:39:08 2019 initial square root is modulo 114838259
- Tue Apr 9 06:48:22 2019 GCD is 1, no factor found
- Tue Apr 9 06:48:22 2019 reading relations for dependency 7
- Tue Apr 9 06:48:23 2019 read 4619041 cycles
- Tue Apr 9 06:48:33 2019 cycles contain 15387508 unique relations
- Tue Apr 9 06:51:52 2019 read 15387508 relations
- Tue Apr 9 06:52:57 2019 multiplying 15387508 relations
- Tue Apr 9 07:01:38 2019 multiply complete, coefficients have about 448.83 million bits
- Tue Apr 9 07:01:39 2019 initial square root is modulo 113101301
- Tue Apr 9 07:10:52 2019 sqrtTime: 9459
- Tue Apr 9 07:10:52 2019 p90 factor: 612467353727778083484683192704235872095177120420583950886471057369446182563479824747106943
- Tue Apr 9 07:10:52 2019 p109 factor: 3026855585755202027806848444553031465945528041778816738874068482954266338671201520266471668988140461429356717
- Tue Apr 9 07:10:52 2019 elapsed time 34:53:19
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