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- Mon Sep 7 00:37:56 2015
- Mon Sep 7 00:37:56 2015
- Mon Sep 7 00:37:56 2015 Msieve v. 1.53 (SVN 984M)
- Mon Sep 7 00:37:56 2015 random seeds: 9b2d56a8 b1f49985
- Mon Sep 7 00:37:56 2015 MPI process 0 of 1
- Mon Sep 7 00:37:56 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
- Mon Sep 7 00:37:56 2015 commencing number field sieve (215-digit input)
- Mon Sep 7 00:37:56 2015 R0: -10889035741470030830827987437816582766592
- Mon Sep 7 00:37:56 2015 R1: 1
- Mon Sep 7 00:37:56 2015 A0: -1
- Mon Sep 7 00:37:56 2015 A1: 0
- Mon Sep 7 00:37:56 2015 A2: 0
- Mon Sep 7 00:37:56 2015 A3: 0
- Mon Sep 7 00:37:56 2015 A4: 0
- Mon Sep 7 00:37:56 2015 A5: 0
- Mon Sep 7 00:37:56 2015 A6: 798
- Mon Sep 7 00:37:56 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
- Mon Sep 7 00:37:57 2015
- Mon Sep 7 00:37:57 2015 commencing relation filtering
- Mon Sep 7 00:37:57 2015 setting target matrix density to 120.0
- Mon Sep 7 00:37:57 2015 estimated available RAM is 258443.8 MB
- Mon Sep 7 00:37:58 2015 commencing duplicate removal, pass 1
- Mon Sep 7 00:38:34 2015 error -15 reading relation 3632929
- Mon Sep 7 00:45:55 2015 error -9 reading relation 47823863
- Mon Sep 7 00:53:24 2015 error -9 reading relation 92565064
- Mon Sep 7 00:58:17 2015 error -9 reading relation 121689989
- Mon Sep 7 00:58:17 2015 error -9 reading relation 121705134
- Mon Sep 7 01:03:21 2015 error -9 reading relation 151832165
- Mon Sep 7 01:06:58 2015 error -1 reading relation 173268280
- Mon Sep 7 01:08:08 2015 error -1 reading relation 180165969
- Mon Sep 7 01:09:42 2015 error -1 reading relation 189453066
- Mon Sep 7 01:10:10 2015 error -15 reading relation 192263861
- Mon Sep 7 01:10:16 2015 error -5 reading relation 192822885
- Mon Sep 7 01:10:24 2015 error -9 reading relation 193636045
- Mon Sep 7 01:10:32 2015 error -1 reading relation 194438222
- Mon Sep 7 01:10:32 2015 error -15 reading relation 194446530
- Mon Sep 7 01:10:43 2015 error -9 reading relation 195511194
- Mon Sep 7 01:11:11 2015 error -15 reading relation 198290510
- Mon Sep 7 01:12:43 2015 error -5 reading relation 207462186
- Mon Sep 7 01:12:44 2015 error -1 reading relation 207550405
- Mon Sep 7 01:12:44 2015 error -9 reading relation 207562844
- Mon Sep 7 01:13:40 2015 error -9 reading relation 213060777
- Mon Sep 7 01:13:43 2015 error -15 reading relation 213381390
- Mon Sep 7 01:14:28 2015 error -5 reading relation 217864198
- Mon Sep 7 01:14:33 2015 error -9 reading relation 218312828
- Mon Sep 7 01:14:43 2015 error -9 reading relation 219260992
- Mon Sep 7 01:15:06 2015 skipped 417 relations with b > 2^32
- Mon Sep 7 01:15:06 2015 skipped 16 relations with composite factors
- Mon Sep 7 01:15:06 2015 found 45951692 hash collisions in 221596307 relations
- Mon Sep 7 01:15:23 2015 added 1219286 free relations
- Mon Sep 7 01:15:23 2015 commencing duplicate removal, pass 2
- Mon Sep 7 01:25:42 2015 found 46599606 duplicates and 176215987 unique relations
- Mon Sep 7 01:25:42 2015 memory use: 1321.5 MB
- Mon Sep 7 01:25:42 2015 reading ideals above 720000
- Mon Sep 7 01:25:42 2015 commencing singleton removal, initial pass
- Mon Sep 7 01:55:10 2015 memory use: 5512.0 MB
- Mon Sep 7 01:55:10 2015 reading all ideals from disk
- Mon Sep 7 01:56:13 2015 memory use: 6969.4 MB
- Mon Sep 7 01:56:26 2015 keeping 170402261 ideals with weight <= 200, target excess is 898681
- Mon Sep 7 01:56:41 2015 commencing in-memory singleton removal
- Mon Sep 7 01:56:50 2015 begin with 176215987 relations and 170402261 unique ideals
- Mon Sep 7 01:58:54 2015 reduce to 102368991 relations and 87786649 ideals in 18 passes
- Mon Sep 7 01:58:54 2015 max relations containing the same ideal: 148
- Mon Sep 7 01:59:28 2015 removing 11856972 relations and 9856972 ideals in 2000000 cliques
- Mon Sep 7 01:59:31 2015 commencing in-memory singleton removal
- Mon Sep 7 01:59:37 2015 begin with 90512019 relations and 87786649 unique ideals
- Mon Sep 7 02:00:27 2015 reduce to 89504864 relations and 76897572 ideals in 9 passes
- Mon Sep 7 02:00:27 2015 max relations containing the same ideal: 135
- Mon Sep 7 02:00:57 2015 removing 8977089 relations and 6977089 ideals in 2000000 cliques
- Mon Sep 7 02:01:00 2015 commencing in-memory singleton removal
- Mon Sep 7 02:01:05 2015 begin with 80527775 relations and 76897572 unique ideals
- Mon Sep 7 02:01:44 2015 reduce to 79848913 relations and 69226658 ideals in 8 passes
- Mon Sep 7 02:01:44 2015 max relations containing the same ideal: 128
- Mon Sep 7 02:02:12 2015 removing 8103783 relations and 6103783 ideals in 2000000 cliques
- Mon Sep 7 02:02:14 2015 commencing in-memory singleton removal
- Mon Sep 7 02:02:18 2015 begin with 71745130 relations and 69226658 unique ideals
- Mon Sep 7 02:02:58 2015 reduce to 71135279 relations and 62498844 ideals in 9 passes
- Mon Sep 7 02:02:58 2015 max relations containing the same ideal: 117
- Mon Sep 7 02:03:22 2015 removing 7656786 relations and 5656786 ideals in 2000000 cliques
- Mon Sep 7 02:03:25 2015 commencing in-memory singleton removal
- Mon Sep 7 02:03:28 2015 begin with 63478493 relations and 62498844 unique ideals
- Mon Sep 7 02:03:59 2015 reduce to 62883829 relations and 56232377 ideals in 8 passes
- Mon Sep 7 02:03:59 2015 max relations containing the same ideal: 107
- Mon Sep 7 02:04:21 2015 removing 7380163 relations and 5380163 ideals in 2000000 cliques
- Mon Sep 7 02:04:23 2015 commencing in-memory singleton removal
- Mon Sep 7 02:04:26 2015 begin with 55503666 relations and 56232377 unique ideals
- Mon Sep 7 02:04:52 2015 reduce to 54891837 relations and 50223266 ideals in 8 passes
- Mon Sep 7 02:04:52 2015 max relations containing the same ideal: 99
- Mon Sep 7 02:05:12 2015 removing 7192901 relations and 5192901 ideals in 2000000 cliques
- Mon Sep 7 02:05:14 2015 commencing in-memory singleton removal
- Mon Sep 7 02:05:16 2015 begin with 47698936 relations and 50223266 unique ideals
- Mon Sep 7 02:05:39 2015 reduce to 47043280 relations and 44354203 ideals in 8 passes
- Mon Sep 7 02:05:39 2015 max relations containing the same ideal: 87
- Mon Sep 7 02:05:55 2015 removing 6048411 relations and 4401804 ideals in 1646607 cliques
- Mon Sep 7 02:05:57 2015 commencing in-memory singleton removal
- Mon Sep 7 02:05:59 2015 begin with 40994869 relations and 44354203 unique ideals
- Mon Sep 7 02:06:21 2015 reduce to 40455745 relations and 39397031 ideals in 9 passes
- Mon Sep 7 02:06:21 2015 max relations containing the same ideal: 81
- Mon Sep 7 02:06:35 2015 removing 124590 relations and 108346 ideals in 16244 cliques
- Mon Sep 7 02:06:36 2015 commencing in-memory singleton removal
- Mon Sep 7 02:06:38 2015 begin with 40331155 relations and 39397031 unique ideals
- Mon Sep 7 02:06:48 2015 reduce to 40330951 relations and 39288481 ideals in 4 passes
- Mon Sep 7 02:06:48 2015 max relations containing the same ideal: 80
- Mon Sep 7 02:06:55 2015 relations with 0 large ideals: 33810
- Mon Sep 7 02:06:55 2015 relations with 1 large ideals: 18921
- Mon Sep 7 02:06:55 2015 relations with 2 large ideals: 230560
- Mon Sep 7 02:06:55 2015 relations with 3 large ideals: 1398693
- Mon Sep 7 02:06:55 2015 relations with 4 large ideals: 4575296
- Mon Sep 7 02:06:55 2015 relations with 5 large ideals: 8921874
- Mon Sep 7 02:06:55 2015 relations with 6 large ideals: 10846972
- Mon Sep 7 02:06:55 2015 relations with 7+ large ideals: 14304825
- Mon Sep 7 02:06:55 2015 commencing 2-way merge
- Mon Sep 7 02:07:14 2015 reduce to 26410746 relation sets and 25368276 unique ideals
- Mon Sep 7 02:07:14 2015 commencing full merge
- Mon Sep 7 02:15:49 2015 memory use: 3307.2 MB
- Mon Sep 7 02:15:52 2015 found 11841369 cycles, need 11804476
- Mon Sep 7 02:15:55 2015 weight of 11804476 cycles is about 1417278991 (120.06/cycle)
- Mon Sep 7 02:15:55 2015 distribution of cycle lengths:
- Mon Sep 7 02:15:55 2015 1 relations: 510467
- Mon Sep 7 02:15:55 2015 2 relations: 722208
- Mon Sep 7 02:15:55 2015 3 relations: 847765
- Mon Sep 7 02:15:55 2015 4 relations: 866601
- Mon Sep 7 02:15:55 2015 5 relations: 883785
- Mon Sep 7 02:15:55 2015 6 relations: 864231
- Mon Sep 7 02:15:55 2015 7 relations: 839351
- Mon Sep 7 02:15:55 2015 8 relations: 794518
- Mon Sep 7 02:15:55 2015 9 relations: 745102
- Mon Sep 7 02:15:55 2015 10+ relations: 4730448
- Mon Sep 7 02:15:55 2015 heaviest cycle: 28 relations
- Mon Sep 7 02:16:00 2015 commencing cycle optimization
- Mon Sep 7 02:16:21 2015 start with 105359766 relations
- Mon Sep 7 02:20:12 2015 pruned 4775034 relations
- Mon Sep 7 02:20:12 2015 memory use: 2755.3 MB
- Mon Sep 7 02:20:12 2015 distribution of cycle lengths:
- Mon Sep 7 02:20:12 2015 1 relations: 510467
- Mon Sep 7 02:20:12 2015 2 relations: 740818
- Mon Sep 7 02:20:12 2015 3 relations: 884606
- Mon Sep 7 02:20:12 2015 4 relations: 903673
- Mon Sep 7 02:20:12 2015 5 relations: 928134
- Mon Sep 7 02:20:12 2015 6 relations: 905324
- Mon Sep 7 02:20:12 2015 7 relations: 880721
- Mon Sep 7 02:20:12 2015 8 relations: 830583
- Mon Sep 7 02:20:12 2015 9 relations: 776541
- Mon Sep 7 02:20:12 2015 10+ relations: 4443609
- Mon Sep 7 02:20:12 2015 heaviest cycle: 28 relations
- Mon Sep 7 02:20:37 2015 RelProcTime: 6160
- Mon Sep 7 02:20:37 2015 elapsed time 01:42:41
- Mon Sep 7 02:21:45 2015
- Mon Sep 7 02:21:45 2015
- Mon Sep 7 02:21:45 2015
- Mon Sep 7 02:21:45 2015
- Mon Sep 7 02:21:45 2015 Msieve v. 1.53 (SVN 984M)
- Mon Sep 7 02:21:45 2015 Msieve v. 1.53 (SVN 984M)
- Mon Sep 7 02:21:45 2015 random seeds: 74d9d160 d6e7a67e
- Mon Sep 7 02:21:45 2015 random seeds: 92d5ebd7 6766024a
- Mon Sep 7 02:21:45 2015 MPI process 0 of 1
- Mon Sep 7 02:21:45 2015 MPI process 0 of 1
- Mon Sep 7 02:21:45 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
- Mon Sep 7 02:21:45 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
- Mon Sep 7 02:21:45 2015 commencing number field sieve (215-digit input)
- Mon Sep 7 02:21:45 2015 commencing number field sieve (215-digit input)
- Mon Sep 7 02:21:45 2015 R0: -10889035741470030830827987437816582766592
- Mon Sep 7 02:21:45 2015 R0: -10889035741470030830827987437816582766592
- Mon Sep 7 02:21:45 2015 R1: 1
- Mon Sep 7 02:21:45 2015 R1: 1
- Mon Sep 7 02:21:45 2015 A0: -1
- Mon Sep 7 02:21:45 2015 A0: -1
- Mon Sep 7 02:21:45 2015 A1: 0
- Mon Sep 7 02:21:45 2015 A1: 0
- Mon Sep 7 02:21:45 2015 A2: 0
- Mon Sep 7 02:21:45 2015 A3: 0
- Mon Sep 7 02:21:45 2015 A2: 0
- Mon Sep 7 02:21:45 2015 A3: 0
- Mon Sep 7 02:21:45 2015 A4: 0
- Mon Sep 7 02:21:45 2015 A4: 0
- Mon Sep 7 02:21:45 2015 A5: 0
- Mon Sep 7 02:21:45 2015 A5: 0
- Mon Sep 7 02:21:45 2015 A6: 798
- Mon Sep 7 02:21:45 2015 A6: 798
- Mon Sep 7 02:21:45 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
- Mon Sep 7 02:21:45 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
- Mon Sep 7 02:21:45 2015
- Mon Sep 7 02:21:45 2015
- Mon Sep 7 02:21:45 2015 commencing linear algebra
- Mon Sep 7 02:21:45 2015 commencing linear algebra
- Mon Sep 7 02:22:23 2015
- Mon Sep 7 02:22:23 2015
- Mon Sep 7 02:22:23 2015 Msieve v. 1.53 (SVN 984M)
- Mon Sep 7 02:22:23 2015 random seeds: b7b8d575 45bfaded
- Mon Sep 7 02:22:23 2015 MPI process 0 of 2
- Mon Sep 7 02:22:23 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
- Mon Sep 7 02:22:23 2015 commencing number field sieve (215-digit input)
- Mon Sep 7 02:22:23 2015 R0: -10889035741470030830827987437816582766592
- Mon Sep 7 02:22:23 2015 R1: 1
- Mon Sep 7 02:22:23 2015 A0: -1
- Mon Sep 7 02:22:23 2015 A1: 0
- Mon Sep 7 02:22:23 2015 A2: 0
- Mon Sep 7 02:22:23 2015 A3: 0
- Mon Sep 7 02:22:23 2015 A4: 0
- Mon Sep 7 02:22:23 2015 A5: 0
- Mon Sep 7 02:22:23 2015 A6: 798
- Mon Sep 7 02:22:32 2015
- Mon Sep 7 02:22:32 2015
- Mon Sep 7 02:22:32 2015 Msieve v. 1.53 (SVN 984M)
- Mon Sep 7 02:22:32 2015 random seeds: 6633d57b 0201a413
- Mon Sep 7 02:22:32 2015 MPI process 0 of 2
- Mon Sep 7 02:22:32 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
- Mon Sep 7 02:22:32 2015 commencing number field sieve (215-digit input)
- Mon Sep 7 02:22:32 2015 R0: -10889035741470030830827987437816582766592
- Mon Sep 7 02:22:32 2015 R1: 1
- Mon Sep 7 02:22:32 2015 A0: -1
- Mon Sep 7 02:22:32 2015 A1: 0
- Mon Sep 7 02:22:32 2015 A2: 0
- Mon Sep 7 02:22:32 2015 A3: 0
- Mon Sep 7 02:22:32 2015 A4: 0
- Mon Sep 7 02:22:32 2015 A5: 0
- Mon Sep 7 02:22:32 2015 A6: 798
- Mon Sep 7 02:22:32 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
- Mon Sep 7 02:22:32 2015
- Mon Sep 7 02:22:32 2015 commencing linear algebra
- Mon Sep 7 02:22:32 2015 initialized process (0,0) of 1 x 2 grid
- Mon Sep 7 02:22:34 2015 read 11804476 cycles
- Mon Sep 7 02:22:56 2015 cycles contain 39729175 unique relations
- Mon Sep 7 02:37:41 2015 read 39729175 relations
- Mon Sep 7 02:38:35 2015 using 20 quadratic characters above 4294917295
- Mon Sep 7 02:41:38 2015 building initial matrix
- Mon Sep 7 02:49:47 2015 memory use: 5214.6 MB
- Mon Sep 7 02:50:38 2015 read 11804476 cycles
- Mon Sep 7 02:50:40 2015 matrix is 11804298 x 11804476 (5530.2 MB) with weight 1587557463 (134.49/col)
- Mon Sep 7 02:50:40 2015 sparse part has weight 1331661376 (112.81/col)
- Mon Sep 7 02:52:45 2015 filtering completed in 2 passes
- Mon Sep 7 02:52:46 2015 matrix is 11804067 x 11804245 (5530.2 MB) with weight 1587548457 (134.49/col)
- Mon Sep 7 02:52:46 2015 sparse part has weight 1331657611 (112.81/col)
- Mon Sep 7 02:54:46 2015 matrix starts at (0, 0)
- Mon Sep 7 02:54:47 2015 matrix is 11804067 x 5902119 (2765.1 MB) with weight 793770070 (134.49/col)
- Mon Sep 7 02:54:47 2015 sparse part has weight 665828974 (112.81/col)
- Mon Sep 7 02:54:47 2015 saving the first 48 matrix rows for later
- Mon Sep 7 02:54:48 2015 matrix includes 64 packed rows
- Mon Sep 7 02:54:49 2015 matrix is 11804019 x 5902119 (2657.1 MB) with weight 679790395 (115.18/col)
- Mon Sep 7 02:54:49 2015 sparse part has weight 637519458 (108.02/col)
- Mon Sep 7 02:54:49 2015 using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
- Mon Sep 7 02:55:16 2015 commencing Lanczos iteration (16 threads)
- Mon Sep 7 02:55:16 2015 memory use: 2302.9 MB
- Mon Sep 7 02:55:32 2015 linear algebra at 0.0%, ETA 32h21m
- Mon Sep 7 02:55:37 2015 checkpointing every 370000 dimensions
- Tue Sep 8 11:21:48 2015 lanczos halted after 186663 iterations (dim = 11804015)
- Tue Sep 8 11:22:11 2015 recovered 34 nontrivial dependencies
- Tue Sep 8 11:22:11 2015 BLanczosTime: 118779
- Tue Sep 8 11:22:11 2015 elapsed time 32:59:39
- Tue Sep 8 11:22:24 2015
- Tue Sep 8 11:22:24 2015
- Tue Sep 8 11:22:24 2015 Msieve v. 1.53 (SVN 984M)
- Tue Sep 8 11:22:24 2015 random seeds: 20e64eed 526e0587
- Tue Sep 8 11:22:24 2015 MPI process 0 of 1
- Tue Sep 8 11:22:24 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
- Tue Sep 8 11:22:24 2015 commencing number field sieve (215-digit input)
- Tue Sep 8 11:22:24 2015 R0: -10889035741470030830827987437816582766592
- Tue Sep 8 11:22:24 2015 R1: 1
- Tue Sep 8 11:22:24 2015 A0: -1
- Tue Sep 8 11:22:24 2015 A1: 0
- Tue Sep 8 11:22:24 2015 A2: 0
- Tue Sep 8 11:22:24 2015 A3: 0
- Tue Sep 8 11:22:24 2015 A4: 0
- Tue Sep 8 11:22:24 2015 A5: 0
- Tue Sep 8 11:22:24 2015 A6: 798
- Tue Sep 8 11:22:24 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
- Tue Sep 8 11:22:24 2015
- Tue Sep 8 11:22:24 2015 commencing square root phase
- Tue Sep 8 11:22:24 2015 reading relations for dependency 1
- Tue Sep 8 11:22:28 2015 read 5904727 cycles
- Tue Sep 8 11:22:39 2015 cycles contain 19869266 unique relations
- Tue Sep 8 11:35:40 2015 read 19869266 relations
- Tue Sep 8 11:36:53 2015 multiplying 19869266 relations
- Tue Sep 8 11:54:49 2015 multiply complete, coefficients have about 672.44 million bits
- Tue Sep 8 11:54:51 2015 initial square root is modulo 1078681
- Tue Sep 8 12:13:32 2015 sqrtTime: 3068
- Tue Sep 8 12:13:32 2015 p144 factor: 534222083073295084659284674482473093528050841206979110284774230714130044545383306321599708295686957376829477611063243841466150568418391586187997
- Tue Sep 8 12:13:32 2015 elapsed time 00:51:08
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