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- Fri Jul 15 15:40:52 2016
- Fri Jul 15 15:40:52 2016
- Fri Jul 15 15:40:52 2016 Msieve v. 1.53 (SVN 988M)
- Fri Jul 15 15:40:52 2016 random seeds: 0344008e 623f64bf
- Fri Jul 15 15:40:52 2016 factoring 3092948538448934112785265543125070922439502182859232241199207092289449242036342460360808940132726981432593888996951903595043418690795724564792405181748462257185789307900205007509651500596851766844470952617 (205 digits)
- Fri Jul 15 15:40:53 2016 searching for 15-digit factors
- Fri Jul 15 15:40:55 2016 commencing number field sieve (205-digit input)
- Fri Jul 15 15:40:55 2016 R0: 243569224216081305397
- Fri Jul 15 15:40:55 2016 R1: 281474976710656000000000000000000000000
- Fri Jul 15 15:40:55 2016 A0: 625
- Fri Jul 15 15:40:55 2016 A1: 0
- Fri Jul 15 15:40:55 2016 A2: 0
- Fri Jul 15 15:40:55 2016 A3: 0
- Fri Jul 15 15:40:55 2016 A4: 0
- Fri Jul 15 15:40:55 2016 A5: 0
- Fri Jul 15 15:40:55 2016 A6: 1369
- Fri Jul 15 15:40:55 2016 skew 0.88, size 4.002e-12, alpha 1.383, combined = 3.421e-13 rroots = 0
- Fri Jul 15 15:40:55 2016
- Fri Jul 15 15:40:55 2016 commencing relation filtering
- Fri Jul 15 15:40:55 2016 setting target matrix density to 130.0
- Fri Jul 15 15:40:55 2016 estimated available RAM is 65536.0 MB
- Fri Jul 15 15:40:55 2016 commencing duplicate removal, pass 1
- Fri Jul 15 16:06:34 2016 error -9 reading relation 184314787
- Fri Jul 15 16:08:34 2016 error -9 reading relation 198707941
- Fri Jul 15 16:08:34 2016 error -15 reading relation 198715826
- Fri Jul 15 16:12:10 2016 error -9 reading relation 224381260
- Fri Jul 15 16:12:45 2016 error -15 reading relation 228533391
- Fri Jul 15 16:12:45 2016 error -9 reading relation 228581657
- Fri Jul 15 16:13:50 2016 error -15 reading relation 236391260
- Fri Jul 15 16:14:39 2016 error -1 reading relation 242218268
- Fri Jul 15 16:15:00 2016 error -5 reading relation 244717414
- Fri Jul 15 16:15:36 2016 error -9 reading relation 249011094
- Fri Jul 15 16:15:36 2016 error -1 reading relation 249063122
- Fri Jul 15 16:15:37 2016 error -9 reading relation 249111127
- Fri Jul 15 16:15:37 2016 error -15 reading relation 249162015
- Fri Jul 15 16:15:37 2016 error -9 reading relation 249188368
- Fri Jul 15 16:15:38 2016 error -15 reading relation 249210729
- Fri Jul 15 16:15:38 2016 error -15 reading relation 249235052
- Fri Jul 15 16:15:39 2016 error -9 reading relation 249353860
- Fri Jul 15 16:15:39 2016 error -15 reading relation 249378269
- Fri Jul 15 16:15:39 2016 error -1 reading relation 249430884
- Fri Jul 15 16:15:40 2016 error -9 reading relation 249453723
- Fri Jul 15 16:15:40 2016 error -15 reading relation 249476500
- Fri Jul 15 16:15:47 2016 error -15 reading relation 250311343
- Fri Jul 15 16:15:47 2016 error -5 reading relation 250361767
- Fri Jul 15 16:15:48 2016 error -9 reading relation 250452904
- Fri Jul 15 16:15:49 2016 error -9 reading relation 250578849
- Fri Jul 15 16:15:58 2016 error -1 reading relation 251692495
- Fri Jul 15 16:16:00 2016 error -9 reading relation 251975322
- Fri Jul 15 16:16:22 2016 skipped 126 relations with b > 2^32
- Fri Jul 15 16:16:22 2016 skipped 14 relations with composite factors
- Fri Jul 15 16:16:23 2016 found 50865272 hash collisions in 254609319 relations
- Fri Jul 15 16:16:39 2016 added 1218916 free relations
- Fri Jul 15 16:16:39 2016 commencing duplicate removal, pass 2
- Fri Jul 15 16:21:04 2016 found 49685729 duplicates and 206142506 unique relations
- Fri Jul 15 16:21:04 2016 memory use: 1321.5 MB
- Fri Jul 15 16:21:04 2016 reading ideals above 720000
- Fri Jul 15 16:21:04 2016 commencing singleton removal, initial pass
- Fri Jul 15 16:49:43 2016 memory use: 5512.0 MB
- Fri Jul 15 16:49:43 2016 reading all ideals from disk
- Fri Jul 15 16:49:49 2016 memory use: 8081.9 MB
- Fri Jul 15 16:50:15 2016 keeping 177833626 ideals with weight <= 200, target excess is 1036914
- Fri Jul 15 16:50:43 2016 commencing in-memory singleton removal
- Fri Jul 15 16:51:03 2016 begin with 206142506 relations and 177833626 unique ideals
- Fri Jul 15 16:54:16 2016 reduce to 142772796 relations and 108688368 ideals in 13 passes
- Fri Jul 15 16:54:16 2016 max relations containing the same ideal: 165
- Fri Jul 15 16:55:22 2016 removing 10046842 relations and 8046842 ideals in 2000000 cliques
- Fri Jul 15 16:55:26 2016 commencing in-memory singleton removal
- Fri Jul 15 16:55:38 2016 begin with 132725954 relations and 108688368 unique ideals
- Fri Jul 15 16:57:21 2016 reduce to 132204391 relations and 100110788 ideals in 8 passes
- Fri Jul 15 16:57:21 2016 max relations containing the same ideal: 159
- Fri Jul 15 16:58:20 2016 removing 7664359 relations and 5664359 ideals in 2000000 cliques
- Fri Jul 15 16:58:24 2016 commencing in-memory singleton removal
- Fri Jul 15 16:58:35 2016 begin with 124540032 relations and 100110788 unique ideals
- Fri Jul 15 16:59:58 2016 reduce to 124189590 relations and 94090679 ideals in 7 passes
- Fri Jul 15 16:59:58 2016 max relations containing the same ideal: 155
- Fri Jul 15 17:00:55 2016 removing 6973102 relations and 4973102 ideals in 2000000 cliques
- Fri Jul 15 17:00:58 2016 commencing in-memory singleton removal
- Fri Jul 15 17:01:08 2016 begin with 117216488 relations and 94090679 unique ideals
- Fri Jul 15 17:02:16 2016 reduce to 116912256 relations and 88808617 ideals in 6 passes
- Fri Jul 15 17:02:16 2016 max relations containing the same ideal: 149
- Fri Jul 15 17:03:10 2016 removing 6618149 relations and 4618149 ideals in 2000000 cliques
- Fri Jul 15 17:03:13 2016 commencing in-memory singleton removal
- Fri Jul 15 17:03:23 2016 begin with 110294107 relations and 88808617 unique ideals
- Fri Jul 15 17:04:36 2016 reduce to 110011557 relations and 83903402 ideals in 7 passes
- Fri Jul 15 17:04:36 2016 max relations containing the same ideal: 139
- Fri Jul 15 17:05:26 2016 removing 6393545 relations and 4393545 ideals in 2000000 cliques
- Fri Jul 15 17:05:29 2016 commencing in-memory singleton removal
- Fri Jul 15 17:05:38 2016 begin with 103618012 relations and 83903402 unique ideals
- Fri Jul 15 17:06:36 2016 reduce to 103345891 relations and 79233097 ideals in 6 passes
- Fri Jul 15 17:06:36 2016 max relations containing the same ideal: 134
- Fri Jul 15 17:07:23 2016 removing 6235843 relations and 4235843 ideals in 2000000 cliques
- Fri Jul 15 17:07:26 2016 commencing in-memory singleton removal
- Fri Jul 15 17:07:34 2016 begin with 97110048 relations and 79233097 unique ideals
- Fri Jul 15 17:08:28 2016 reduce to 96841468 relations and 74724062 ideals in 6 passes
- Fri Jul 15 17:08:28 2016 max relations containing the same ideal: 126
- Fri Jul 15 17:09:12 2016 removing 6126663 relations and 4126663 ideals in 2000000 cliques
- Fri Jul 15 17:09:15 2016 commencing in-memory singleton removal
- Fri Jul 15 17:09:23 2016 begin with 90714805 relations and 74724062 unique ideals
- Fri Jul 15 17:10:12 2016 reduce to 90446318 relations and 70323903 ideals in 6 passes
- Fri Jul 15 17:10:12 2016 max relations containing the same ideal: 123
- Fri Jul 15 17:10:54 2016 removing 6040056 relations and 4040056 ideals in 2000000 cliques
- Fri Jul 15 17:10:56 2016 commencing in-memory singleton removal
- Fri Jul 15 17:11:03 2016 begin with 84406262 relations and 70323903 unique ideals
- Fri Jul 15 17:11:49 2016 reduce to 84132418 relations and 66004589 ideals in 6 passes
- Fri Jul 15 17:11:49 2016 max relations containing the same ideal: 118
- Fri Jul 15 17:12:27 2016 removing 5978336 relations and 3978336 ideals in 2000000 cliques
- Fri Jul 15 17:12:30 2016 commencing in-memory singleton removal
- Fri Jul 15 17:12:36 2016 begin with 78154082 relations and 66004589 unique ideals
- Fri Jul 15 17:13:25 2016 reduce to 77871844 relations and 61737987 ideals in 7 passes
- Fri Jul 15 17:13:25 2016 max relations containing the same ideal: 111
- Fri Jul 15 17:14:00 2016 removing 5934082 relations and 3934082 ideals in 2000000 cliques
- Fri Jul 15 17:14:03 2016 commencing in-memory singleton removal
- Fri Jul 15 17:14:09 2016 begin with 71937762 relations and 61737987 unique ideals
- Fri Jul 15 17:14:47 2016 reduce to 71642986 relations and 57502458 ideals in 6 passes
- Fri Jul 15 17:14:47 2016 max relations containing the same ideal: 107
- Fri Jul 15 17:15:19 2016 removing 5903403 relations and 3903403 ideals in 2000000 cliques
- Fri Jul 15 17:15:22 2016 commencing in-memory singleton removal
- Fri Jul 15 17:15:27 2016 begin with 65739583 relations and 57502458 unique ideals
- Fri Jul 15 17:16:02 2016 reduce to 65428190 relations and 53280081 ideals in 6 passes
- Fri Jul 15 17:16:02 2016 max relations containing the same ideal: 100
- Fri Jul 15 17:16:31 2016 removing 5886788 relations and 3886788 ideals in 2000000 cliques
- Fri Jul 15 17:16:34 2016 commencing in-memory singleton removal
- Fri Jul 15 17:16:39 2016 begin with 59541402 relations and 53280081 unique ideals
- Fri Jul 15 17:17:15 2016 reduce to 59207321 relations and 49050485 ideals in 7 passes
- Fri Jul 15 17:17:15 2016 max relations containing the same ideal: 93
- Fri Jul 15 17:17:42 2016 removing 5880103 relations and 3880103 ideals in 2000000 cliques
- Fri Jul 15 17:17:44 2016 commencing in-memory singleton removal
- Fri Jul 15 17:17:48 2016 begin with 53327218 relations and 49050485 unique ideals
- Fri Jul 15 17:18:21 2016 reduce to 52963165 relations and 44796032 ideals in 7 passes
- Fri Jul 15 17:18:21 2016 max relations containing the same ideal: 88
- Fri Jul 15 17:18:45 2016 removing 5886618 relations and 3886618 ideals in 2000000 cliques
- Fri Jul 15 17:18:47 2016 commencing in-memory singleton removal
- Fri Jul 15 17:18:51 2016 begin with 47076547 relations and 44796032 unique ideals
- Fri Jul 15 17:19:19 2016 reduce to 46672380 relations and 40492227 ideals in 7 passes
- Fri Jul 15 17:19:19 2016 max relations containing the same ideal: 84
- Fri Jul 15 17:19:39 2016 removing 5900125 relations and 3900125 ideals in 2000000 cliques
- Fri Jul 15 17:19:41 2016 commencing in-memory singleton removal
- Fri Jul 15 17:19:45 2016 begin with 40772255 relations and 40492227 unique ideals
- Fri Jul 15 17:20:12 2016 reduce to 40309094 relations and 36112122 ideals in 8 passes
- Fri Jul 15 17:20:12 2016 max relations containing the same ideal: 75
- Fri Jul 15 17:20:30 2016 removing 5930791 relations and 3930791 ideals in 2000000 cliques
- Fri Jul 15 17:20:32 2016 commencing in-memory singleton removal
- Fri Jul 15 17:20:34 2016 begin with 34378303 relations and 36112122 unique ideals
- Fri Jul 15 17:20:54 2016 reduce to 33826840 relations and 31606468 ideals in 7 passes
- Fri Jul 15 17:20:54 2016 max relations containing the same ideal: 62
- Fri Jul 15 17:21:09 2016 removing 3432231 relations and 2414680 ideals in 1017551 cliques
- Fri Jul 15 17:21:10 2016 commencing in-memory singleton removal
- Fri Jul 15 17:21:13 2016 begin with 30394609 relations and 31606468 unique ideals
- Fri Jul 15 17:21:32 2016 reduce to 30145904 relations and 28936343 ideals in 8 passes
- Fri Jul 15 17:21:32 2016 max relations containing the same ideal: 58
- Fri Jul 15 17:21:49 2016 relations with 0 large ideals: 37592
- Fri Jul 15 17:21:49 2016 relations with 1 large ideals: 30941
- Fri Jul 15 17:21:49 2016 relations with 2 large ideals: 372194
- Fri Jul 15 17:21:49 2016 relations with 3 large ideals: 1887041
- Fri Jul 15 17:21:49 2016 relations with 4 large ideals: 5022588
- Fri Jul 15 17:21:49 2016 relations with 5 large ideals: 7849037
- Fri Jul 15 17:21:49 2016 relations with 6 large ideals: 7562033
- Fri Jul 15 17:21:49 2016 relations with 7+ large ideals: 7384478
- Fri Jul 15 17:21:49 2016 commencing 2-way merge
- Fri Jul 15 17:22:07 2016 reduce to 20401414 relation sets and 19191853 unique ideals
- Fri Jul 15 17:22:07 2016 commencing full merge
- Fri Jul 15 17:30:06 2016 memory use: 2473.2 MB
- Fri Jul 15 17:30:10 2016 found 8946739 cycles, need 8888053
- Fri Jul 15 17:30:10 2016 weight of 8888053 cycles is about 1155908430 (130.05/cycle)
- Fri Jul 15 17:30:10 2016 distribution of cycle lengths:
- Fri Jul 15 17:30:10 2016 1 relations: 267415
- Fri Jul 15 17:30:10 2016 2 relations: 417455
- Fri Jul 15 17:30:10 2016 3 relations: 521474
- Fri Jul 15 17:30:10 2016 4 relations: 570329
- Fri Jul 15 17:30:11 2016 5 relations: 611274
- Fri Jul 15 17:30:11 2016 6 relations: 624812
- Fri Jul 15 17:30:11 2016 7 relations: 629437
- Fri Jul 15 17:30:11 2016 8 relations: 616248
- Fri Jul 15 17:30:11 2016 9 relations: 592140
- Fri Jul 15 17:30:11 2016 10+ relations: 4037469
- Fri Jul 15 17:30:11 2016 heaviest cycle: 28 relations
- Fri Jul 15 17:30:14 2016 commencing cycle optimization
- Fri Jul 15 17:30:36 2016 start with 85644663 relations
- Fri Jul 15 17:34:47 2016 pruned 4725904 relations
- Fri Jul 15 17:34:47 2016 memory use: 2124.2 MB
- Fri Jul 15 17:34:47 2016 distribution of cycle lengths:
- Fri Jul 15 17:34:47 2016 1 relations: 267415
- Fri Jul 15 17:34:47 2016 2 relations: 428773
- Fri Jul 15 17:34:47 2016 3 relations: 545266
- Fri Jul 15 17:34:47 2016 4 relations: 598476
- Fri Jul 15 17:34:47 2016 5 relations: 648919
- Fri Jul 15 17:34:47 2016 6 relations: 663540
- Fri Jul 15 17:34:47 2016 7 relations: 673837
- Fri Jul 15 17:34:47 2016 8 relations: 657684
- Fri Jul 15 17:34:47 2016 9 relations: 631737
- Fri Jul 15 17:34:47 2016 10+ relations: 3772406
- Fri Jul 15 17:34:47 2016 heaviest cycle: 28 relations
- Fri Jul 15 17:35:10 2016 RelProcTime: 6855
- Fri Jul 15 17:35:10 2016
- Fri Jul 15 17:35:10 2016 commencing linear algebra
- Fri Jul 15 17:35:12 2016 read 8888053 cycles
- Fri Jul 15 17:35:33 2016 cycles contain 29551115 unique relations
- Fri Jul 15 17:41:04 2016 read 29551115 relations
- Fri Jul 15 17:42:10 2016 using 20 quadratic characters above 4294917295
- Fri Jul 15 17:44:08 2016 building initial matrix
- Fri Jul 15 17:50:59 2016 memory use: 3721.9 MB
- Fri Jul 15 17:51:09 2016 read 8888053 cycles
- Fri Jul 15 17:51:10 2016 matrix is 8887876 x 8888053 (4394.1 MB) with weight 1247796984 (140.39/col)
- Fri Jul 15 17:51:10 2016 sparse part has weight 1063014276 (119.60/col)
- Fri Jul 15 17:53:35 2016 filtering completed in 2 passes
- Fri Jul 15 17:53:36 2016 matrix is 8887713 x 8887890 (4394.1 MB) with weight 1247791090 (140.39/col)
- Fri Jul 15 17:53:36 2016 sparse part has weight 1063011830 (119.60/col)
- Fri Jul 15 17:55:49 2016 matrix starts at (0, 0)
- Fri Jul 15 17:55:49 2016 matrix is 8887713 x 8887890 (4394.1 MB) with weight 1247791090 (140.39/col)
- Fri Jul 15 17:55:49 2016 sparse part has weight 1063011830 (119.60/col)
- Fri Jul 15 17:55:49 2016 saving the first 48 matrix rows for later
- Fri Jul 15 17:55:51 2016 matrix includes 64 packed rows
- Fri Jul 15 17:55:52 2016 matrix is 8887665 x 8887890 (4216.9 MB) with weight 1082660607 (121.81/col)
- Fri Jul 15 17:55:52 2016 sparse part has weight 1016549409 (114.37/col)
- Fri Jul 15 17:55:52 2016 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
- Fri Jul 15 17:56:58 2016 commencing Lanczos iteration (12 threads)
- Fri Jul 15 17:56:58 2016 memory use: 3588.8 MB
- Fri Jul 15 17:57:19 2016 linear algebra at 0.0%, ETA 32h36m
- Fri Jul 15 17:57:24 2016 checkpointing every 300000 dimensions
- Fri Jul 15 18:23:48 2016 lanczos halted after 2146 iterations (dim = 135768)
- Fri Jul 15 18:23:50 2016 BLanczosTime: 2920
- Fri Jul 15 18:23:50 2016
- Fri Jul 15 18:23:50 2016 commencing square root phase
- Fri Jul 15 18:23:50 2016 handling dependencies 1 to 64
- Fri Jul 15 18:23:50 2016 reading relations for dependency 1
- Fri Jul 15 18:23:50 2016 error: read_cycles can't open dependency file
- Fri Jul 15 20:16:40 2016
- Fri Jul 15 20:16:40 2016
- Fri Jul 15 20:16:40 2016 Msieve v. 1.53 (SVN 988M)
- Fri Jul 15 20:16:40 2016 random seeds: e4a91f26 4168422d
- Fri Jul 15 20:16:40 2016 factoring 3092948538448934112785265543125070922439502182859232241199207092289449242036342460360808940132726981432593888996951903595043418690795724564792405181748462257185789307900205007509651500596851766844470952617 (205 digits)
- Fri Jul 15 20:16:41 2016 searching for 15-digit factors
- Fri Jul 15 20:16:42 2016 commencing number field sieve (205-digit input)
- Fri Jul 15 20:16:42 2016 R0: 243569224216081305397
- Fri Jul 15 20:16:42 2016 R1: 281474976710656000000000000000000000000
- Fri Jul 15 20:16:42 2016 A0: 625
- Fri Jul 15 20:16:42 2016 A1: 0
- Fri Jul 15 20:16:42 2016 A2: 0
- Fri Jul 15 20:16:42 2016 A3: 0
- Fri Jul 15 20:16:42 2016 A4: 0
- Fri Jul 15 20:16:42 2016 A5: 0
- Fri Jul 15 20:16:42 2016 A6: 1369
- Fri Jul 15 20:16:42 2016 skew 0.88, size 4.002e-12, alpha 1.383, combined = 3.421e-13 rroots = 0
- Fri Jul 15 20:16:42 2016
- Fri Jul 15 20:16:42 2016 commencing linear algebra
- Fri Jul 15 20:18:22 2016 matrix starts at (0, 0)
- Fri Jul 15 20:18:22 2016 matrix is 8887713 x 8887890 (4394.1 MB) with weight 1247791090 (140.39/col)
- Fri Jul 15 20:18:22 2016 sparse part has weight 1063011830 (119.60/col)
- Fri Jul 15 20:18:22 2016 saving the first 48 matrix rows for later
- Fri Jul 15 20:18:24 2016 matrix includes 64 packed rows
- Fri Jul 15 20:18:25 2016 matrix is 8887665 x 8887890 (4216.9 MB) with weight 1082660607 (121.81/col)
- Fri Jul 15 20:18:25 2016 sparse part has weight 1016549409 (114.37/col)
- Fri Jul 15 20:18:25 2016 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
- Fri Jul 15 20:19:25 2016 commencing Lanczos iteration (12 threads)
- Fri Jul 15 20:19:25 2016 memory use: 3588.8 MB
- Fri Jul 15 20:19:34 2016 restarting at iteration 2146 (dim = 135768)
- Fri Jul 15 20:19:49 2016 linear algebra at 1.5%, ETA 23h59m
- Fri Jul 15 20:19:57 2016 checkpointing every 360000 dimensions
- Sat Jul 16 21:45:00 2016 lanczos halted after 140543 iterations (dim = 8887660)
- Sat Jul 16 21:45:13 2016 recovered 36 nontrivial dependencies
- Sat Jul 16 21:45:16 2016 BLanczosTime: 91714
- Sat Jul 16 21:45:16 2016
- Sat Jul 16 21:45:16 2016 commencing square root phase
- Sat Jul 16 21:45:16 2016 reading relations for dependency 1
- Sat Jul 16 21:45:24 2016 read 4443974 cycles
- Sat Jul 16 21:45:34 2016 cycles contain 14772018 unique relations
- Sat Jul 16 21:51:11 2016 read 14772018 relations
- Sat Jul 16 21:52:13 2016 multiplying 14772018 relations
- Sat Jul 16 22:07:21 2016 multiply complete, coefficients have about 521.62 million bits
- Sat Jul 16 22:07:25 2016 initial square root is modulo 2288224579
- Sat Jul 16 22:22:08 2016 sqrtTime: 2212
- Sat Jul 16 22:22:09 2016 p52 factor: 3465063664460831208243299234012645214360579259823257
- Sat Jul 16 22:22:10 2016 p153 factor: 892609440389662008207512811819966668544083845007510580945219151295521669758956603288455164958467349196708836215141993970074723225739323691505370394638481
- Sat Jul 16 22:22:10 2016 elapsed time 26:05:30
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