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- Mon Aug 17 15:41:23 2015
- Mon Aug 17 15:41:23 2015
- Mon Aug 17 15:41:23 2015 Msieve v. 1.53 (SVN Unversioned directory)
- Mon Aug 17 15:41:23 2015 random seeds: 5c03c184 1cde1840
- Mon Aug 17 15:41:23 2015 factoring 72089329377332876389485217631544008816290340770222692615390287879568603102329794323988349387835314591494424641451942318679627418307808107269292274227987314422212224188500788076452907662029899483227955920562193878391338940316787777679907837801 (242 digits)
- Mon Aug 17 15:41:25 2015 searching for 15-digit factors
- Mon Aug 17 15:41:26 2015 commencing number field sieve (242-digit input)
- Mon Aug 17 15:41:26 2015 R0: -20400387827356411000149165063915848454601
- Mon Aug 17 15:41:26 2015 R1: 1
- Mon Aug 17 15:41:26 2015 A0: -1
- Mon Aug 17 15:41:26 2015 A1: 0
- Mon Aug 17 15:41:26 2015 A2: 0
- Mon Aug 17 15:41:26 2015 A3: 0
- Mon Aug 17 15:41:26 2015 A4: 0
- Mon Aug 17 15:41:26 2015 A5: 0
- Mon Aug 17 15:41:26 2015 A6: 10739
- Mon Aug 17 15:41:26 2015 skew 1.00, size 4.781e-12, alpha -1.818, combined = 3.398e-13 rroots = 2
- Mon Aug 17 15:41:26 2015
- Mon Aug 17 15:41:26 2015 commencing relation filtering
- Mon Aug 17 15:41:26 2015 setting target matrix density to 124.0
- Mon Aug 17 15:41:26 2015 estimated available RAM is 16040.3 MB
- Mon Aug 17 15:41:26 2015 commencing duplicate removal, pass 1
- Mon Aug 17 15:43:18 2015 error -9 reading relation 24250340
- Mon Aug 17 15:43:18 2015 error -9 reading relation 24250907
- Mon Aug 17 15:43:18 2015 error -9 reading relation 24254889
- Mon Aug 17 15:43:18 2015 error -9 reading relation 24255243
- Mon Aug 17 15:43:18 2015 error -15 reading relation 24263488
- Mon Aug 17 15:43:18 2015 error -15 reading relation 24265747
- Mon Aug 17 15:44:04 2015 error -11 reading relation 34575241
- Mon Aug 17 15:44:07 2015 error -9 reading relation 35267095
- Mon Aug 17 15:44:08 2015 error -9 reading relation 35546153
- Mon Aug 17 15:44:09 2015 error -15 reading relation 35734283
- Mon Aug 17 15:44:25 2015 error -9 reading relation 39303738
- Mon Aug 17 15:44:51 2015 error -15 reading relation 44386188
- Mon Aug 17 15:44:53 2015 error -9 reading relation 44674860
- Mon Aug 17 15:45:18 2015 error -11 reading relation 49076050
- Mon Aug 17 15:45:19 2015 error -11 reading relation 49087843
- Mon Aug 17 15:46:34 2015 error -15 reading relation 65270601
- Mon Aug 17 15:46:34 2015 error -15 reading relation 65319778
- Mon Aug 17 15:46:45 2015 error -15 reading relation 67719124
- Mon Aug 17 15:46:50 2015 error -9 reading relation 68808736
- Mon Aug 17 15:46:58 2015 error -9 reading relation 70600656
- Mon Aug 17 15:47:35 2015 error -9 reading relation 78616879
- Mon Aug 17 15:48:14 2015 error -9 reading relation 87016748
- Mon Aug 17 15:48:15 2015 error -9 reading relation 87432092
- Mon Aug 17 15:48:26 2015 error -15 reading relation 89841187
- Mon Aug 17 15:48:55 2015 error -15 reading relation 96484214
- Mon Aug 17 15:48:57 2015 error -9 reading relation 96914830
- Mon Aug 17 15:49:19 2015 error -15 reading relation 101972125
- Mon Aug 17 15:49:47 2015 error -15 reading relation 108385062
- Mon Aug 17 15:49:47 2015 error -9 reading relation 108390706
- Mon Aug 17 15:49:53 2015 error -15 reading relation 109735970
- Mon Aug 17 15:49:54 2015 error -9 reading relation 109888835
- Mon Aug 17 15:49:54 2015 error -15 reading relation 110001075
- Mon Aug 17 15:50:10 2015 error -1 reading relation 113486009
- Mon Aug 17 15:51:56 2015 error -1 reading relation 136609809
- Mon Aug 17 15:52:05 2015 error -9 reading relation 138601224
- Mon Aug 17 15:54:40 2015 error -9 reading relation 172062614
- Mon Aug 17 15:54:47 2015 error -15 reading relation 173702095
- Mon Aug 17 15:54:48 2015 error -15 reading relation 173961388
- Mon Aug 17 15:54:49 2015 error -9 reading relation 174068822
- Mon Aug 17 15:54:52 2015 error -9 reading relation 174679962
- Mon Aug 17 15:54:52 2015 error -1 reading relation 174739088
- Mon Aug 17 15:55:15 2015 error -1 reading relation 179632846
- Mon Aug 17 15:55:15 2015 error -15 reading relation 179640620
- Mon Aug 17 15:55:28 2015 error -9 reading relation 182661382
- Mon Aug 17 15:55:37 2015 error -9 reading relation 184564950
- Mon Aug 17 15:55:37 2015 error -15 reading relation 184573453
- Mon Aug 17 15:55:37 2015 error -9 reading relation 184580674
- Mon Aug 17 15:56:04 2015 error -15 reading relation 190634050
- Mon Aug 17 15:56:06 2015 error -15 reading relation 191029767
- Mon Aug 17 15:56:14 2015 error -9 reading relation 192899471
- Mon Aug 17 15:56:21 2015 error -9 reading relation 194224018
- Mon Aug 17 15:56:28 2015 error -15 reading relation 195968092
- Mon Aug 17 15:56:28 2015 error -5 reading relation 195979129
- Mon Aug 17 15:56:28 2015 error -9 reading relation 195985950
- Mon Aug 17 15:56:29 2015 error -15 reading relation 196199228
- Mon Aug 17 15:56:32 2015 error -15 reading relation 196896252
- Mon Aug 17 15:56:35 2015 error -15 reading relation 197471444
- Mon Aug 17 15:56:36 2015 error -5 reading relation 197813412
- Mon Aug 17 15:56:38 2015 error -9 reading relation 198216059
- Mon Aug 17 15:56:45 2015 error -9 reading relation 199648939
- Mon Aug 17 15:56:45 2015 error -9 reading relation 199649566
- Mon Aug 17 15:56:45 2015 error -1 reading relation 199653779
- Mon Aug 17 15:56:50 2015 error -15 reading relation 200710978
- Mon Aug 17 15:56:58 2015 error -15 reading relation 202657191
- Mon Aug 17 15:57:04 2015 error -9 reading relation 204011327
- Mon Aug 17 15:57:11 2015 error -15 reading relation 205555872
- Mon Aug 17 15:57:14 2015 error -15 reading relation 206267942
- Mon Aug 17 15:57:45 2015 error -15 reading relation 213065336
- Mon Aug 17 15:57:45 2015 error -9 reading relation 213065729
- Mon Aug 17 15:57:45 2015 error -15 reading relation 213213832
- Mon Aug 17 15:57:55 2015 error -9 reading relation 215384222
- Mon Aug 17 15:57:56 2015 error -9 reading relation 215609481
- Mon Aug 17 15:58:05 2015 error -15 reading relation 217778826
- Mon Aug 17 15:58:05 2015 error -9 reading relation 217826130
- Mon Aug 17 15:58:43 2015 error -9 reading relation 226285415
- Mon Aug 17 15:58:46 2015 error -9 reading relation 226968309
- Mon Aug 17 15:58:46 2015 error -9 reading relation 226975118
- Mon Aug 17 15:59:09 2015 skipped 541 relations with b > 2^32
- Mon Aug 17 15:59:09 2015 found 43799338 hash collisions in 229871245 relations
- Mon Aug 17 15:59:20 2015 commencing duplicate removal, pass 2
- Mon Aug 17 16:03:02 2015 found 42456767 duplicates and 187414478 unique relations
- Mon Aug 17 16:03:02 2015 memory use: 1321.5 MB
- Mon Aug 17 16:03:02 2015 reading ideals above 139919360
- Mon Aug 17 16:03:02 2015 commencing singleton removal, initial pass
- Mon Aug 17 16:19:41 2015 memory use: 3012.0 MB
- Mon Aug 17 16:19:41 2015 reading all ideals from disk
- Mon Aug 17 16:19:52 2015 memory use: 3179.3 MB
- Mon Aug 17 16:19:58 2015 commencing in-memory singleton removal
- Mon Aug 17 16:20:03 2015 begin with 187414478 relations and 157493143 unique ideals
- Mon Aug 17 16:21:12 2015 reduce to 117102728 relations and 79542133 ideals in 14 passes
- Mon Aug 17 16:21:12 2015 max relations containing the same ideal: 37
- Mon Aug 17 16:21:18 2015 reading ideals above 720000
- Mon Aug 17 16:21:18 2015 commencing singleton removal, initial pass
- Mon Aug 17 16:34:39 2015 memory use: 2756.0 MB
- Mon Aug 17 16:34:39 2015 reading all ideals from disk
- Mon Aug 17 16:34:57 2015 memory use: 4553.6 MB
- Mon Aug 17 16:35:07 2015 keeping 94761786 ideals with weight <= 200, target excess is 591689
- Mon Aug 17 16:35:19 2015 commencing in-memory singleton removal
- Mon Aug 17 16:35:27 2015 begin with 117102728 relations and 94761786 unique ideals
- Mon Aug 17 16:36:25 2015 reduce to 117100857 relations and 94759915 ideals in 7 passes
- Mon Aug 17 16:36:25 2015 max relations containing the same ideal: 200
- Mon Aug 17 16:37:05 2015 removing 11036509 relations and 9036509 ideals in 2000000 cliques
- Mon Aug 17 16:37:08 2015 commencing in-memory singleton removal
- Mon Aug 17 16:37:14 2015 begin with 106064348 relations and 94759915 unique ideals
- Mon Aug 17 16:38:16 2015 reduce to 105306144 relations and 84948762 ideals in 9 passes
- Mon Aug 17 16:38:16 2015 max relations containing the same ideal: 195
- Mon Aug 17 16:38:51 2015 removing 8364510 relations and 6364511 ideals in 2000000 cliques
- Mon Aug 17 16:38:54 2015 commencing in-memory singleton removal
- Mon Aug 17 16:39:00 2015 begin with 96941634 relations and 84948762 unique ideals
- Mon Aug 17 16:39:49 2015 reduce to 96432764 relations and 78065825 ideals in 8 passes
- Mon Aug 17 16:39:49 2015 max relations containing the same ideal: 185
- Mon Aug 17 16:40:23 2015 removing 7569833 relations and 5569833 ideals in 2000000 cliques
- Mon Aug 17 16:40:26 2015 commencing in-memory singleton removal
- Mon Aug 17 16:40:31 2015 begin with 88862931 relations and 78065825 unique ideals
- Mon Aug 17 16:41:16 2015 reduce to 88412018 relations and 72036496 ideals in 8 passes
- Mon Aug 17 16:41:16 2015 max relations containing the same ideal: 176
- Mon Aug 17 16:41:46 2015 removing 7172366 relations and 5172366 ideals in 2000000 cliques
- Mon Aug 17 16:41:49 2015 commencing in-memory singleton removal
- Mon Aug 17 16:41:53 2015 begin with 81239652 relations and 72036496 unique ideals
- Mon Aug 17 16:42:30 2015 reduce to 80810750 relations and 66426479 ideals in 7 passes
- Mon Aug 17 16:42:30 2015 max relations containing the same ideal: 167
- Mon Aug 17 16:42:57 2015 removing 6926699 relations and 4926699 ideals in 2000000 cliques
- Mon Aug 17 16:43:00 2015 commencing in-memory singleton removal
- Mon Aug 17 16:43:04 2015 begin with 73884051 relations and 66426479 unique ideals
- Mon Aug 17 16:43:42 2015 reduce to 73457951 relations and 61064485 ideals in 8 passes
- Mon Aug 17 16:43:42 2015 max relations containing the same ideal: 157
- Mon Aug 17 16:44:07 2015 removing 6762518 relations and 4762518 ideals in 2000000 cliques
- Mon Aug 17 16:44:09 2015 commencing in-memory singleton removal
- Mon Aug 17 16:44:13 2015 begin with 66695433 relations and 61064485 unique ideals
- Mon Aug 17 16:44:47 2015 reduce to 66261386 relations and 55857556 ideals in 8 passes
- Mon Aug 17 16:44:47 2015 max relations containing the same ideal: 145
- Mon Aug 17 16:45:10 2015 removing 6644353 relations and 4644353 ideals in 2000000 cliques
- Mon Aug 17 16:45:13 2015 commencing in-memory singleton removal
- Mon Aug 17 16:45:16 2015 begin with 59617033 relations and 55857556 unique ideals
- Mon Aug 17 16:45:42 2015 reduce to 59163716 relations and 50748155 ideals in 7 passes
- Mon Aug 17 16:45:42 2015 max relations containing the same ideal: 136
- Mon Aug 17 16:46:03 2015 removing 6563914 relations and 4563914 ideals in 2000000 cliques
- Mon Aug 17 16:46:05 2015 commencing in-memory singleton removal
- Mon Aug 17 16:46:08 2015 begin with 52599802 relations and 50748155 unique ideals
- Mon Aug 17 16:46:34 2015 reduce to 52115015 relations and 45685397 ideals in 8 passes
- Mon Aug 17 16:46:34 2015 max relations containing the same ideal: 124
- Mon Aug 17 16:46:53 2015 removing 6510129 relations and 4510129 ideals in 2000000 cliques
- Mon Aug 17 16:46:55 2015 commencing in-memory singleton removal
- Mon Aug 17 16:46:58 2015 begin with 45604886 relations and 45685397 unique ideals
- Mon Aug 17 16:47:20 2015 reduce to 45072798 relations and 40626199 ideals in 8 passes
- Mon Aug 17 16:47:20 2015 max relations containing the same ideal: 111
- Mon Aug 17 16:47:36 2015 removing 6476974 relations and 4476974 ideals in 2000000 cliques
- Mon Aug 17 16:47:38 2015 commencing in-memory singleton removal
- Mon Aug 17 16:47:40 2015 begin with 38595824 relations and 40626199 unique ideals
- Mon Aug 17 16:47:57 2015 reduce to 37987624 relations and 35518100 ideals in 7 passes
- Mon Aug 17 16:47:57 2015 max relations containing the same ideal: 100
- Mon Aug 17 16:48:10 2015 removing 5889312 relations and 4106148 ideals in 1783164 cliques
- Mon Aug 17 16:48:12 2015 commencing in-memory singleton removal
- Mon Aug 17 16:48:14 2015 begin with 32098312 relations and 35518100 unique ideals
- Mon Aug 17 16:48:31 2015 reduce to 31485091 relations and 30773942 ideals in 9 passes
- Mon Aug 17 16:48:31 2015 max relations containing the same ideal: 86
- Mon Aug 17 16:48:43 2015 removing 170169 relations and 145380 ideals in 24789 cliques
- Mon Aug 17 16:48:44 2015 commencing in-memory singleton removal
- Mon Aug 17 16:48:45 2015 begin with 31314922 relations and 30773942 unique ideals
- Mon Aug 17 16:48:57 2015 reduce to 31314354 relations and 30627994 ideals in 6 passes
- Mon Aug 17 16:48:57 2015 max relations containing the same ideal: 86
- Mon Aug 17 16:49:02 2015 relations with 0 large ideals: 22397
- Mon Aug 17 16:49:02 2015 relations with 1 large ideals: 7934
- Mon Aug 17 16:49:02 2015 relations with 2 large ideals: 113424
- Mon Aug 17 16:49:02 2015 relations with 3 large ideals: 770033
- Mon Aug 17 16:49:02 2015 relations with 4 large ideals: 2823674
- Mon Aug 17 16:49:02 2015 relations with 5 large ideals: 6153297
- Mon Aug 17 16:49:02 2015 relations with 6 large ideals: 8351630
- Mon Aug 17 16:49:02 2015 relations with 7+ large ideals: 13071965
- Mon Aug 17 16:49:02 2015 commencing 2-way merge
- Mon Aug 17 16:49:16 2015 reduce to 20563655 relation sets and 19877295 unique ideals
- Mon Aug 17 16:49:16 2015 commencing full merge
- Mon Aug 17 16:56:01 2015 memory use: 2659.2 MB
- Mon Aug 17 16:56:03 2015 found 9189939 cycles, need 9189495
- Mon Aug 17 16:56:05 2015 weight of 9189495 cycles is about 1139569480 (124.01/cycle)
- Mon Aug 17 16:56:05 2015 distribution of cycle lengths:
- Mon Aug 17 16:56:05 2015 1 relations: 342003
- Mon Aug 17 16:56:05 2015 2 relations: 516204
- Mon Aug 17 16:56:05 2015 3 relations: 615816
- Mon Aug 17 16:56:05 2015 4 relations: 649436
- Mon Aug 17 16:56:05 2015 5 relations: 668498
- Mon Aug 17 16:56:05 2015 6 relations: 668139
- Mon Aug 17 16:56:05 2015 7 relations: 659483
- Mon Aug 17 16:56:05 2015 8 relations: 634517
- Mon Aug 17 16:56:05 2015 9 relations: 596741
- Mon Aug 17 16:56:05 2015 10+ relations: 3838658
- Mon Aug 17 16:56:05 2015 heaviest cycle: 28 relations
- Mon Aug 17 16:56:07 2015 commencing cycle optimization
- Mon Aug 17 16:56:23 2015 start with 84586387 relations
- Mon Aug 17 16:59:10 2015 pruned 4072596 relations
- Mon Aug 17 16:59:10 2015 memory use: 2172.8 MB
- Mon Aug 17 16:59:10 2015 distribution of cycle lengths:
- Mon Aug 17 16:59:10 2015 1 relations: 342003
- Mon Aug 17 16:59:10 2015 2 relations: 529186
- Mon Aug 17 16:59:10 2015 3 relations: 642469
- Mon Aug 17 16:59:10 2015 4 relations: 676961
- Mon Aug 17 16:59:10 2015 5 relations: 703617
- Mon Aug 17 16:59:10 2015 6 relations: 702800
- Mon Aug 17 16:59:10 2015 7 relations: 696564
- Mon Aug 17 16:59:10 2015 8 relations: 666034
- Mon Aug 17 16:59:10 2015 9 relations: 626349
- Mon Aug 17 16:59:10 2015 10+ relations: 3603512
- Mon Aug 17 16:59:10 2015 heaviest cycle: 28 relations
- Mon Aug 17 16:59:23 2015 RelProcTime: 4677
- Mon Aug 17 16:59:23 2015
- Mon Aug 17 16:59:23 2015 commencing linear algebra
- Mon Aug 17 16:59:26 2015 read 9189495 cycles
- Mon Aug 17 16:59:45 2015 cycles contain 30943937 unique relations
- Mon Aug 17 17:03:30 2015 read 30943937 relations
- Mon Aug 17 17:04:13 2015 using 20 quadratic characters above 2147483550
- Mon Aug 17 17:06:11 2015 building initial matrix
- Mon Aug 17 17:12:07 2015 memory use: 4144.6 MB
- Mon Aug 17 17:12:11 2015 read 9189495 cycles
- Mon Aug 17 17:12:12 2015 matrix is 9189322 x 9189495 (4420.2 MB) with weight 1312002690 (142.77/col)
- Mon Aug 17 17:12:12 2015 sparse part has weight 1057655170 (115.09/col)
- Mon Aug 17 17:13:41 2015 filtering completed in 2 passes
- Mon Aug 17 17:13:43 2015 matrix is 9189296 x 9189469 (4420.2 MB) with weight 1312001784 (142.77/col)
- Mon Aug 17 17:13:43 2015 sparse part has weight 1057654980 (115.09/col)
- Mon Aug 17 17:14:11 2015 matrix starts at (0, 0)
- Mon Aug 17 17:14:12 2015 matrix is 9189296 x 9189469 (4420.2 MB) with weight 1312001784 (142.77/col)
- Mon Aug 17 17:14:12 2015 sparse part has weight 1057654980 (115.09/col)
- Mon Aug 17 17:14:12 2015 saving the first 48 matrix rows for later
- Mon Aug 17 17:14:14 2015 matrix includes 64 packed rows
- Mon Aug 17 17:14:15 2015 matrix is 9189248 x 9189469 (4273.6 MB) with weight 1118581520 (121.72/col)
- Mon Aug 17 17:14:15 2015 sparse part has weight 1028410486 (111.91/col)
- Mon Aug 17 17:14:15 2015 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Mon Aug 17 17:14:52 2015 commencing Lanczos iteration (4 threads)
- Mon Aug 17 17:14:52 2015 memory use: 3602.6 MB
- Mon Aug 17 17:15:35 2015 linear algebra at 0.0%, ETA 68h55m
- Mon Aug 17 17:15:49 2015 checkpointing every 140000 dimensions
- Thu Aug 20 14:36:29 2015 lanczos halted after 145316 iterations (dim = 9189244)
- Thu Aug 20 14:36:37 2015 recovered 35 nontrivial dependencies
- Thu Aug 20 14:36:37 2015 BLanczosTime: 250634
- Thu Aug 20 14:36:37 2015
- Thu Aug 20 14:36:37 2015 commencing square root phase
- Thu Aug 20 14:36:37 2015 handling dependencies 1 to 64
- Thu Aug 20 14:36:37 2015 reading relations for dependency 1
- Thu Aug 20 14:36:38 2015 read 4597129 cycles
- Thu Aug 20 14:36:46 2015 cycles contain 15479950 unique relations
- Thu Aug 20 14:40:22 2015 read 15479950 relations
- Thu Aug 20 14:41:19 2015 multiplying 15479950 relations
- Thu Aug 20 14:54:44 2015 multiply complete, coefficients have about 574.60 million bits
- Thu Aug 20 14:54:45 2015 initial square root is modulo 142969
- Thu Aug 20 15:09:29 2015 sqrtTime: 1972
- Thu Aug 20 15:09:29 2015 prp105 factor: 329347811504238833457965584102086540211456535507213918876261265065629481499379566380514666369926114589679
- Thu Aug 20 15:09:29 2015 prp138 factor: 218885102190530447459401992132008295020313910622066112850261207061197795853074665058496071556488131465535867494413414875673173725251054119
- Thu Aug 20 15:09:29 2015 elapsed time 71:28:06
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