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- Mon Sep 19 10:19:49 2016 Msieve v. 1.52 (SVN exported)
- Mon Sep 19 10:19:49 2016 random seeds: da3b8c44 094a5969
- Mon Sep 19 10:19:49 2016 factoring 32022005507286126714848543006981564694230278448403898244011153851571334452714889583242175010884635719989032624119518896931643613897527397867813513761998782994598345680209292328493586678800756674626629275002077331591409357261 (224 digits)
- Mon Sep 19 10:19:53 2016 searching for 15-digit factors
- Mon Sep 19 10:19:58 2016 commencing number field sieve (224-digit input)
- Mon Sep 19 10:19:58 2016 R0: 35929277097461949116349900667463657408555086637
- Mon Sep 19 10:19:58 2016 R1: -4747961545180253066968844199067123712
- Mon Sep 19 10:19:58 2016 A0: 68
- Mon Sep 19 10:19:58 2016 A1: 0
- Mon Sep 19 10:19:58 2016 A2: 0
- Mon Sep 19 10:19:58 2016 A3: 0
- Mon Sep 19 10:19:58 2016 A4: 0
- Mon Sep 19 10:19:58 2016 A5: 53
- Mon Sep 19 10:19:58 2016 skew 1.05, size 3.188e-16, alpha 0.145, combined = 4.940e-13 rroots = 1
- Mon Sep 19 10:19:58 2016
- Mon Sep 19 10:19:58 2016 commencing relation filtering
- Mon Sep 19 10:19:58 2016 setting target matrix density to 140.0
- Mon Sep 19 10:19:58 2016 estimated available RAM is 64392.0 MB
- Mon Sep 19 10:19:58 2016 commencing duplicate removal, pass 1
- Mon Sep 19 11:36:55 2016 error -9 reading relation 204974558
- Mon Sep 19 11:47:43 2016 error -9 reading relation 237282822
- Mon Sep 19 11:50:50 2016 error -9 reading relation 246749750
- Mon Sep 19 11:53:53 2016 error -9 reading relation 256234236
- Mon Sep 19 11:53:58 2016 error -15 reading relation 256466094
- Mon Sep 19 11:53:59 2016 error -15 reading relation 256509547
- Mon Sep 19 11:54:01 2016 error -15 reading relation 256653686
- Mon Sep 19 11:54:02 2016 error -15 reading relation 256679922
- Mon Sep 19 11:54:04 2016 error -9 reading relation 256792616
- Mon Sep 19 11:54:15 2016 error -9 reading relation 257374724
- Mon Sep 19 11:54:15 2016 error -9 reading relation 257382995
- Mon Sep 19 11:54:22 2016 error -15 reading relation 257800105
- Mon Sep 19 11:54:26 2016 error -15 reading relation 258003655
- Mon Sep 19 11:54:47 2016 error -9 reading relation 259085003
- Mon Sep 19 11:54:47 2016 error -9 reading relation 259089352
- Mon Sep 19 11:54:48 2016 error -15 reading relation 259158588
- Mon Sep 19 11:55:16 2016 skipped 176 relations with b > 2^32
- Mon Sep 19 11:55:16 2016 found 47872044 hash collisions in 260658646 relations
- Mon Sep 19 11:56:07 2016 added 731423 free relations
- Mon Sep 19 11:56:07 2016 commencing duplicate removal, pass 2
- Mon Sep 19 12:48:43 2016 found 44656558 duplicates and 216733511 unique relations
- Mon Sep 19 12:48:43 2016 memory use: 1321.5 MB
- Mon Sep 19 12:48:44 2016 reading ideals above 720000
- Mon Sep 19 12:48:44 2016 commencing singleton removal, initial pass
- Mon Sep 19 14:29:39 2016 memory use: 5512.0 MB
- Mon Sep 19 14:29:40 2016 reading all ideals from disk
- Mon Sep 19 14:31:05 2016 memory use: 8430.3 MB
- Mon Sep 19 14:31:44 2016 keeping 178715206 ideals with weight <= 200, target excess is 1114672
- Mon Sep 19 14:32:30 2016 commencing in-memory singleton removal
- Mon Sep 19 14:33:03 2016 begin with 216733511 relations and 178715206 unique ideals
- Mon Sep 19 14:39:15 2016 reduce to 155805116 relations and 112641409 ideals in 13 passes
- Mon Sep 19 14:39:15 2016 max relations containing the same ideal: 170
- Mon Sep 19 14:41:08 2016 removing 9404033 relations and 7404033 ideals in 2000000 cliques
- Mon Sep 19 14:41:15 2016 commencing in-memory singleton removal
- Mon Sep 19 14:41:35 2016 begin with 146401083 relations and 112641409 unique ideals
- Mon Sep 19 14:44:11 2016 reduce to 145971446 relations and 104800755 ideals in 7 passes
- Mon Sep 19 14:44:11 2016 max relations containing the same ideal: 163
- Mon Sep 19 14:45:58 2016 removing 7203551 relations and 5203551 ideals in 2000000 cliques
- Mon Sep 19 14:46:04 2016 commencing in-memory singleton removal
- Mon Sep 19 14:46:24 2016 begin with 138767895 relations and 104800755 unique ideals
- Mon Sep 19 14:49:00 2016 reduce to 138477904 relations and 99303133 ideals in 7 passes
- Mon Sep 19 14:49:00 2016 max relations containing the same ideal: 158
- Mon Sep 19 14:50:36 2016 removing 6583099 relations and 4583099 ideals in 2000000 cliques
- Mon Sep 19 14:50:42 2016 commencing in-memory singleton removal
- Mon Sep 19 14:50:58 2016 begin with 131894805 relations and 99303133 unique ideals
- Mon Sep 19 14:52:53 2016 reduce to 131645208 relations and 94466901 ideals in 6 passes
- Mon Sep 19 14:52:53 2016 max relations containing the same ideal: 152
- Mon Sep 19 14:54:22 2016 removing 6257993 relations and 4257993 ideals in 2000000 cliques
- Mon Sep 19 14:54:27 2016 commencing in-memory singleton removal
- Mon Sep 19 14:54:43 2016 begin with 125387215 relations and 94466901 unique ideals
- Mon Sep 19 14:56:23 2016 reduce to 125158674 relations and 89977034 ideals in 6 passes
- Mon Sep 19 14:56:23 2016 max relations containing the same ideal: 149
- Mon Sep 19 14:57:44 2016 removing 6049840 relations and 4049840 ideals in 2000000 cliques
- Mon Sep 19 14:57:49 2016 commencing in-memory singleton removal
- Mon Sep 19 14:58:04 2016 begin with 119108834 relations and 89977034 unique ideals
- Mon Sep 19 14:59:53 2016 reduce to 118892510 relations and 85707564 ideals in 6 passes
- Mon Sep 19 14:59:53 2016 max relations containing the same ideal: 145
- Mon Sep 19 15:01:07 2016 removing 5899178 relations and 3899178 ideals in 2000000 cliques
- Mon Sep 19 15:01:11 2016 commencing in-memory singleton removal
- Mon Sep 19 15:01:25 2016 begin with 112993332 relations and 85707564 unique ideals
- Mon Sep 19 15:02:54 2016 reduce to 112784439 relations and 81596135 ideals in 6 passes
- Mon Sep 19 15:02:54 2016 max relations containing the same ideal: 141
- Mon Sep 19 15:04:10 2016 removing 5790401 relations and 3790401 ideals in 2000000 cliques
- Mon Sep 19 15:04:14 2016 commencing in-memory singleton removal
- Mon Sep 19 15:04:28 2016 begin with 106994038 relations and 81596135 unique ideals
- Mon Sep 19 15:06:06 2016 reduce to 106789336 relations and 77597611 ideals in 6 passes
- Mon Sep 19 15:06:06 2016 max relations containing the same ideal: 136
- Mon Sep 19 15:07:18 2016 removing 5705373 relations and 3705373 ideals in 2000000 cliques
- Mon Sep 19 15:07:23 2016 commencing in-memory singleton removal
- Mon Sep 19 15:07:35 2016 begin with 101083963 relations and 77597611 unique ideals
- Mon Sep 19 15:08:55 2016 reduce to 100878380 relations and 73683188 ideals in 6 passes
- Mon Sep 19 15:08:55 2016 max relations containing the same ideal: 132
- Mon Sep 19 15:10:00 2016 removing 5637201 relations and 3637201 ideals in 2000000 cliques
- Mon Sep 19 15:10:04 2016 commencing in-memory singleton removal
- Mon Sep 19 15:10:16 2016 begin with 95241179 relations and 73683188 unique ideals
- Mon Sep 19 15:11:31 2016 reduce to 95033843 relations and 69834824 ideals in 6 passes
- Mon Sep 19 15:11:31 2016 max relations containing the same ideal: 123
- Mon Sep 19 15:12:35 2016 removing 5585835 relations and 3585835 ideals in 2000000 cliques
- Mon Sep 19 15:12:39 2016 commencing in-memory singleton removal
- Mon Sep 19 15:12:50 2016 begin with 89448008 relations and 69834824 unique ideals
- Mon Sep 19 15:14:08 2016 reduce to 89237513 relations and 66034289 ideals in 6 passes
- Mon Sep 19 15:14:08 2016 max relations containing the same ideal: 117
- Mon Sep 19 15:15:07 2016 removing 5543772 relations and 3543772 ideals in 2000000 cliques
- Mon Sep 19 15:15:12 2016 commencing in-memory singleton removal
- Mon Sep 19 15:15:22 2016 begin with 83693741 relations and 66034289 unique ideals
- Mon Sep 19 15:16:28 2016 reduce to 83477119 relations and 62269498 ideals in 6 passes
- Mon Sep 19 15:16:28 2016 max relations containing the same ideal: 112
- Mon Sep 19 15:17:24 2016 removing 5512721 relations and 3512721 ideals in 2000000 cliques
- Mon Sep 19 15:17:28 2016 commencing in-memory singleton removal
- Mon Sep 19 15:17:37 2016 begin with 77964398 relations and 62269498 unique ideals
- Mon Sep 19 15:18:38 2016 reduce to 77739275 relations and 58526727 ideals in 6 passes
- Mon Sep 19 15:18:38 2016 max relations containing the same ideal: 108
- Mon Sep 19 15:19:30 2016 removing 5488953 relations and 3488953 ideals in 2000000 cliques
- Mon Sep 19 15:19:33 2016 commencing in-memory singleton removal
- Mon Sep 19 15:19:41 2016 begin with 72250322 relations and 58526727 unique ideals
- Mon Sep 19 15:20:36 2016 reduce to 72014477 relations and 54796471 ideals in 6 passes
- Mon Sep 19 15:20:36 2016 max relations containing the same ideal: 102
- Mon Sep 19 15:21:26 2016 removing 5477047 relations and 3477047 ideals in 2000000 cliques
- Mon Sep 19 15:21:30 2016 commencing in-memory singleton removal
- Mon Sep 19 15:21:37 2016 begin with 66537430 relations and 54796471 unique ideals
- Mon Sep 19 15:22:25 2016 reduce to 66288816 relations and 51064758 ideals in 6 passes
- Mon Sep 19 15:22:25 2016 max relations containing the same ideal: 99
- Mon Sep 19 15:23:13 2016 removing 5470482 relations and 3470482 ideals in 2000000 cliques
- Mon Sep 19 15:23:17 2016 commencing in-memory singleton removal
- Mon Sep 19 15:23:25 2016 begin with 60818334 relations and 51064758 unique ideals
- Mon Sep 19 15:24:24 2016 reduce to 60553234 relations and 47322049 ideals in 7 passes
- Mon Sep 19 15:24:24 2016 max relations containing the same ideal: 92
- Mon Sep 19 15:25:01 2016 removing 5471571 relations and 3471571 ideals in 2000000 cliques
- Mon Sep 19 15:25:05 2016 commencing in-memory singleton removal
- Mon Sep 19 15:25:11 2016 begin with 55081663 relations and 47322049 unique ideals
- Mon Sep 19 15:25:56 2016 reduce to 54793234 relations and 43553860 ideals in 6 passes
- Mon Sep 19 15:25:56 2016 max relations containing the same ideal: 87
- Mon Sep 19 15:26:32 2016 removing 5480407 relations and 3480407 ideals in 2000000 cliques
- Mon Sep 19 15:26:35 2016 commencing in-memory singleton removal
- Mon Sep 19 15:26:41 2016 begin with 49312827 relations and 43553860 unique ideals
- Mon Sep 19 15:27:29 2016 reduce to 48998874 relations and 39749682 ideals in 7 passes
- Mon Sep 19 15:27:29 2016 max relations containing the same ideal: 80
- Mon Sep 19 15:27:59 2016 removing 5496464 relations and 3496464 ideals in 2000000 cliques
- Mon Sep 19 15:28:02 2016 commencing in-memory singleton removal
- Mon Sep 19 15:28:07 2016 begin with 43502410 relations and 39749682 unique ideals
- Mon Sep 19 15:28:36 2016 reduce to 43150125 relations and 35888930 ideals in 6 passes
- Mon Sep 19 15:28:36 2016 max relations containing the same ideal: 72
- Mon Sep 19 15:29:03 2016 removing 5522843 relations and 3522843 ideals in 2000000 cliques
- Mon Sep 19 15:29:06 2016 commencing in-memory singleton removal
- Mon Sep 19 15:29:10 2016 begin with 37627282 relations and 35888930 unique ideals
- Mon Sep 19 15:29:38 2016 reduce to 37224294 relations and 31947610 ideals in 7 passes
- Mon Sep 19 15:29:38 2016 max relations containing the same ideal: 66
- Mon Sep 19 15:30:03 2016 removing 5562298 relations and 3562298 ideals in 2000000 cliques
- Mon Sep 19 15:30:06 2016 commencing in-memory singleton removal
- Mon Sep 19 15:30:09 2016 begin with 31661996 relations and 31947610 unique ideals
- Mon Sep 19 15:30:35 2016 reduce to 31178878 relations and 27880725 ideals in 7 passes
- Mon Sep 19 15:30:35 2016 max relations containing the same ideal: 59
- Mon Sep 19 15:30:56 2016 removing 5626251 relations and 3626251 ideals in 2000000 cliques
- Mon Sep 19 15:30:59 2016 commencing in-memory singleton removal
- Mon Sep 19 15:31:02 2016 begin with 25552627 relations and 27880725 unique ideals
- Mon Sep 19 15:31:27 2016 reduce to 24930463 relations and 23599290 ideals in 7 passes
- Mon Sep 19 15:31:27 2016 max relations containing the same ideal: 50
- Mon Sep 19 15:31:44 2016 removing 211664 relations and 173511 ideals in 38153 cliques
- Mon Sep 19 15:31:45 2016 commencing in-memory singleton removal
- Mon Sep 19 15:31:48 2016 begin with 24718799 relations and 23599290 unique ideals
- Mon Sep 19 15:32:04 2016 reduce to 24717266 relations and 23424245 ideals in 5 passes
- Mon Sep 19 15:32:04 2016 max relations containing the same ideal: 50
- Mon Sep 19 15:32:12 2016 relations with 0 large ideals: 21975
- Mon Sep 19 15:32:12 2016 relations with 1 large ideals: 42431
- Mon Sep 19 15:32:12 2016 relations with 2 large ideals: 486584
- Mon Sep 19 15:32:12 2016 relations with 3 large ideals: 2194009
- Mon Sep 19 15:32:12 2016 relations with 4 large ideals: 5111673
- Mon Sep 19 15:32:12 2016 relations with 5 large ideals: 6893941
- Mon Sep 19 15:32:12 2016 relations with 6 large ideals: 5874213
- Mon Sep 19 15:32:12 2016 relations with 7+ large ideals: 4092440
- Mon Sep 19 15:32:12 2016 commencing 2-way merge
- Mon Sep 19 15:32:33 2016 reduce to 16743873 relation sets and 15450852 unique ideals
- Mon Sep 19 15:32:33 2016 commencing full merge
- Mon Sep 19 15:42:28 2016 memory use: 1910.3 MB
- Mon Sep 19 15:42:31 2016 found 7142815 cycles, need 7109052
- Mon Sep 19 15:42:33 2016 weight of 7109052 cycles is about 995769679 (140.07/cycle)
- Mon Sep 19 15:42:33 2016 distribution of cycle lengths:
- Mon Sep 19 15:42:33 2016 1 relations: 147692
- Mon Sep 19 15:42:33 2016 2 relations: 288068
- Mon Sep 19 15:42:33 2016 3 relations: 382283
- Mon Sep 19 15:42:33 2016 4 relations: 429007
- Mon Sep 19 15:42:33 2016 5 relations: 472292
- Mon Sep 19 15:42:33 2016 6 relations: 490348
- Mon Sep 19 15:42:33 2016 7 relations: 498784
- Mon Sep 19 15:42:33 2016 8 relations: 490889
- Mon Sep 19 15:42:33 2016 9 relations: 474758
- Mon Sep 19 15:42:33 2016 10+ relations: 3434931
- Mon Sep 19 15:42:33 2016 heaviest cycle: 28 relations
- Mon Sep 19 15:42:37 2016 commencing cycle optimization
- Mon Sep 19 15:43:00 2016 start with 72219156 relations
- Mon Sep 19 15:47:28 2016 pruned 4297062 relations
- Mon Sep 19 15:47:28 2016 memory use: 1755.7 MB
- Mon Sep 19 15:47:28 2016 distribution of cycle lengths:
- Mon Sep 19 15:47:28 2016 1 relations: 147692
- Mon Sep 19 15:47:28 2016 2 relations: 296828
- Mon Sep 19 15:47:28 2016 3 relations: 401119
- Mon Sep 19 15:47:28 2016 4 relations: 452171
- Mon Sep 19 15:47:28 2016 5 relations: 504117
- Mon Sep 19 15:47:28 2016 6 relations: 523936
- Mon Sep 19 15:47:28 2016 7 relations: 536311
- Mon Sep 19 15:47:28 2016 8 relations: 527739
- Mon Sep 19 15:47:28 2016 9 relations: 509933
- Mon Sep 19 15:47:28 2016 10+ relations: 3209206
- Mon Sep 19 15:47:28 2016 heaviest cycle: 28 relations
- Mon Sep 19 15:47:46 2016 RelProcTime: 19668
- Mon Sep 19 15:47:46 2016 elapsed time 05:27:57
- Mon Sep 19 15:48:48 2016 Msieve v. 1.52 (SVN exported)
- Mon Sep 19 15:48:48 2016 random seeds: ae98e8aa f28f561b
- Mon Sep 19 15:48:48 2016 factoring 32022005507286126714848543006981564694230278448403898244011153851571334452714889583242175010884635719989032624119518896931643613897527397867813513761998782994598345680209292328493586678800756674626629275002077331591409357261 (224 digits)
- Mon Sep 19 15:48:51 2016 searching for 15-digit factors
- Mon Sep 19 15:48:54 2016 commencing number field sieve (224-digit input)
- Mon Sep 19 15:48:54 2016 R0: 35929277097461949116349900667463657408555086637
- Mon Sep 19 15:48:54 2016 R1: -4747961545180253066968844199067123712
- Mon Sep 19 15:48:54 2016 A0: 68
- Mon Sep 19 15:48:54 2016 A1: 0
- Mon Sep 19 15:48:54 2016 A2: 0
- Mon Sep 19 15:48:54 2016 A3: 0
- Mon Sep 19 15:48:54 2016 A4: 0
- Mon Sep 19 15:48:54 2016 A5: 53
- Mon Sep 19 15:48:54 2016 skew 1.05, size 3.188e-16, alpha 0.145, combined = 4.940e-13 rroots = 1
- Mon Sep 19 15:48:54 2016
- Mon Sep 19 15:48:54 2016 commencing linear algebra
- Mon Sep 19 15:48:56 2016 read 7109052 cycles
- Mon Sep 19 15:49:21 2016 cycles contain 24120663 unique relations
- Mon Sep 19 16:36:41 2016 read 24120663 relations
- Mon Sep 19 16:37:56 2016 using 20 quadratic characters above 2147462702
- Mon Sep 19 16:40:35 2016 building initial matrix
- Mon Sep 19 16:48:25 2016 memory use: 3113.3 MB
- Mon Sep 19 16:48:32 2016 read 7109052 cycles
- Mon Sep 19 16:48:34 2016 matrix is 7108875 x 7109052 (3758.3 MB) with weight 1081795383 (152.17/col)
- Mon Sep 19 16:48:34 2016 sparse part has weight 907023696 (127.59/col)
- Mon Sep 19 16:51:15 2016 filtering completed in 2 passes
- Mon Sep 19 16:51:18 2016 matrix is 7108756 x 7108933 (3758.3 MB) with weight 1081789306 (152.17/col)
- Mon Sep 19 16:51:18 2016 sparse part has weight 907020637 (127.59/col)
- Mon Sep 19 16:52:18 2016 matrix starts at (0, 0)
- Mon Sep 19 16:52:20 2016 matrix is 7108756 x 7108933 (3758.3 MB) with weight 1081789306 (152.17/col)
- Mon Sep 19 16:52:20 2016 sparse part has weight 907020637 (127.59/col)
- Mon Sep 19 16:52:20 2016 saving the first 48 matrix rows for later
- Mon Sep 19 16:52:22 2016 matrix includes 64 packed rows
- Mon Sep 19 16:52:24 2016 matrix is 7108708 x 7108933 (3603.0 MB) with weight 940241771 (132.26/col)
- Mon Sep 19 16:52:24 2016 sparse part has weight 873424377 (122.86/col)
- Mon Sep 19 16:52:24 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
- Mon Sep 19 16:53:17 2016 commencing Lanczos iteration (12 threads)
- Mon Sep 19 16:53:17 2016 memory use: 3057.1 MB
- Mon Sep 19 16:53:48 2016 linear algebra at 0.0%, ETA 37h44m
- Mon Sep 19 16:53:59 2016 checkpointing every 190000 dimensions
- Wed Sep 21 07:14:24 2016 lanczos halted after 112414 iterations (dim = 7108706)
- Wed Sep 21 07:14:34 2016 recovered 36 nontrivial dependencies
- Wed Sep 21 07:14:35 2016 BLanczosTime: 141941
- Wed Sep 21 07:14:35 2016 elapsed time 39:25:47
- Wed Sep 21 09:34:43 2016 Msieve v. 1.52 (SVN exported)
- Wed Sep 21 09:34:43 2016 random seeds: e1a23aeb bef9625f
- Wed Sep 21 09:34:43 2016 factoring 32022005507286126714848543006981564694230278448403898244011153851571334452714889583242175010884635719989032624119518896931643613897527397867813513761998782994598345680209292328493586678800756674626629275002077331591409357261 (224 digits)
- Wed Sep 21 09:34:45 2016 searching for 15-digit factors
- Wed Sep 21 09:34:47 2016 commencing number field sieve (224-digit input)
- Wed Sep 21 09:34:47 2016 R0: 35929277097461949116349900667463657408555086637
- Wed Sep 21 09:34:47 2016 R1: -4747961545180253066968844199067123712
- Wed Sep 21 09:34:47 2016 A0: 68
- Wed Sep 21 09:34:47 2016 A1: 0
- Wed Sep 21 09:34:47 2016 A2: 0
- Wed Sep 21 09:34:47 2016 A3: 0
- Wed Sep 21 09:34:47 2016 A4: 0
- Wed Sep 21 09:34:47 2016 A5: 53
- Wed Sep 21 09:34:47 2016 skew 1.05, size 3.188e-16, alpha 0.145, combined = 4.940e-13 rroots = 1
- Wed Sep 21 09:34:47 2016
- Wed Sep 21 09:34:47 2016 commencing square root phase
- Wed Sep 21 09:34:47 2016 handling dependencies 2 to 2
- Wed Sep 21 09:34:47 2016 reading relations for dependency 2
- Wed Sep 21 09:34:50 2016 read 3554387 cycles
- Wed Sep 21 09:35:02 2016 cycles contain 12061814 unique relations
- Wed Sep 21 10:14:04 2016 read 12061814 relations
- Wed Sep 21 10:15:31 2016 multiplying 12061814 relations
- Wed Sep 21 10:25:25 2016 multiply complete, coefficients have about 372.38 million bits
- Wed Sep 21 10:25:27 2016 initial square root is modulo 4805711
- Wed Sep 21 10:37:26 2016 sqrtTime: 3759
- Wed Sep 21 10:37:26 2016 prp80 factor: 31869591719072312524644154686841605670559044226594989957722430280802116661852001
- Wed Sep 21 10:37:26 2016 prp145 factor: 1004782420482738797439106645641556265308176966982090005013618863463495853646260123110300256540036585837528291559794696257836406040087078445985261
- Wed Sep 21 10:37:26 2016 elapsed time 01:02:43
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