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- Mon Jul 05 06:36:14 2021
- Mon Jul 05 06:36:14 2021
- Mon Jul 05 06:36:14 2021 Msieve v. 1.53 (SVN 988)
- Mon Jul 05 06:36:14 2021 random seeds: beaae510 ca5a6e82
- Mon Jul 05 06:36:14 2021 factoring 7545198242316946421062723563124577893680572170398734754100223910383699386677507588445266595306962075985672932605510694215318966380573873483415058392029377076937378445338603 (172 digits)
- Mon Jul 05 06:36:15 2021 searching for 15-digit factors
- Mon Jul 05 06:36:15 2021 commencing number field sieve (172-digit input)
- Mon Jul 05 06:36:15 2021 R0: 1220956244111245455703580956465386301
- Mon Jul 05 06:36:15 2021 R1: -1
- Mon Jul 05 06:36:15 2021 A0: 1
- Mon Jul 05 06:36:15 2021 A1: 1
- Mon Jul 05 06:36:15 2021 A2: 1
- Mon Jul 05 06:36:15 2021 A3: 1
- Mon Jul 05 06:36:15 2021 A4: 1
- Mon Jul 05 06:36:15 2021 A5: 1
- Mon Jul 05 06:36:15 2021 A6: 1
- Mon Jul 05 06:36:15 2021 skew 1.00, size 9.515e-011, alpha 2.428, combined = 3.233e-012 rroots = 0
- Mon Jul 05 06:36:15 2021
- Mon Jul 05 06:36:15 2021 commencing relation filtering
- Mon Jul 05 06:36:15 2021 setting target matrix density to 100.0
- Mon Jul 05 06:36:15 2021 estimated available RAM is 16151.1 MB
- Mon Jul 05 06:36:15 2021 commencing duplicate removal, pass 1
- Mon Jul 05 06:38:03 2021 error -5 reading relation 14346262
- Mon Jul 05 06:39:58 2021 error -9 reading relation 29208557
- Mon Jul 05 06:40:22 2021 error -9 reading relation 32221745
- Mon Jul 05 06:40:24 2021 error -15 reading relation 32360744
- Mon Jul 05 06:40:24 2021 error -9 reading relation 32470675
- Mon Jul 05 06:40:25 2021 error -15 reading relation 32482957
- Mon Jul 05 06:40:28 2021 error -15 reading relation 32896706
- Mon Jul 05 06:40:44 2021 error -9 reading relation 34947592
- Mon Jul 05 06:40:44 2021 error -15 reading relation 35003938
- Mon Jul 05 06:40:44 2021 error -1 reading relation 35003939
- Mon Jul 05 06:40:45 2021 error -15 reading relation 35053730
- Mon Jul 05 06:40:52 2021 error -15 reading relation 36015913
- Mon Jul 05 06:41:06 2021 error -1 reading relation 37868107
- Mon Jul 05 06:42:04 2021 error -5 reading relation 45440692
- Mon Jul 05 06:42:04 2021 error -9 reading relation 45444288
- Mon Jul 05 06:42:18 2021 error -5 reading relation 47255388
- Mon Jul 05 06:44:01 2021 error -1 reading relation 60604449
- Mon Jul 05 06:44:11 2021 error -9 reading relation 61869134
- Mon Jul 05 06:44:18 2021 error -9 reading relation 62808655
- Mon Jul 05 06:44:36 2021 skipped 2 relations with b > 2^32
- Mon Jul 05 06:44:36 2021 skipped 15 relations with composite factors
- Mon Jul 05 06:44:36 2021 found 13046089 hash collisions in 65133063 relations
- Mon Jul 05 06:44:42 2021 added 2438533 free relations
- Mon Jul 05 06:44:42 2021 commencing duplicate removal, pass 2
- Mon Jul 05 06:45:22 2021 found 12657575 duplicates and 54914021 unique relations
- Mon Jul 05 06:45:22 2021 memory use: 330.4 MB
- Mon Jul 05 06:45:22 2021 reading ideals above 720000
- Mon Jul 05 06:45:22 2021 commencing singleton removal, initial pass
- Mon Jul 05 06:53:02 2021 memory use: 1378.0 MB
- Mon Jul 05 06:53:03 2021 reading all ideals from disk
- Mon Jul 05 06:53:05 2021 memory use: 1967.6 MB
- Mon Jul 05 06:53:14 2021 keeping 48219318 ideals with weight <= 200, target excess is 286612
- Mon Jul 05 06:53:21 2021 commencing in-memory singleton removal
- Mon Jul 05 06:53:28 2021 begin with 54914021 relations and 48219318 unique ideals
- Mon Jul 05 06:54:25 2021 reduce to 38617760 relations and 30418973 ideals in 13 passes
- Mon Jul 05 06:54:25 2021 max relations containing the same ideal: 167
- Mon Jul 05 06:54:47 2021 removing 4372167 relations and 3372167 ideals in 1000000 cliques
- Mon Jul 05 06:54:49 2021 commencing in-memory singleton removal
- Mon Jul 05 06:54:54 2021 begin with 34245593 relations and 30418973 unique ideals
- Mon Jul 05 06:55:23 2021 reduce to 33739010 relations and 26523944 ideals in 8 passes
- Mon Jul 05 06:55:23 2021 max relations containing the same ideal: 151
- Mon Jul 05 06:55:44 2021 removing 3544402 relations and 2544402 ideals in 1000000 cliques
- Mon Jul 05 06:55:45 2021 commencing in-memory singleton removal
- Mon Jul 05 06:55:49 2021 begin with 30194608 relations and 26523944 unique ideals
- Mon Jul 05 06:56:17 2021 reduce to 29890379 relations and 23665910 ideals in 8 passes
- Mon Jul 05 06:56:17 2021 max relations containing the same ideal: 141
- Mon Jul 05 06:56:37 2021 removing 3221054 relations and 2221054 ideals in 1000000 cliques
- Mon Jul 05 06:56:38 2021 commencing in-memory singleton removal
- Mon Jul 05 06:56:42 2021 begin with 26669325 relations and 23665910 unique ideals
- Mon Jul 05 06:57:03 2021 reduce to 26399925 relations and 21167017 ideals in 7 passes
- Mon Jul 05 06:57:03 2021 max relations containing the same ideal: 132
- Mon Jul 05 06:57:20 2021 removing 3084604 relations and 2084604 ideals in 1000000 cliques
- Mon Jul 05 06:57:21 2021 commencing in-memory singleton removal
- Mon Jul 05 06:57:24 2021 begin with 23315321 relations and 21167017 unique ideals
- Mon Jul 05 06:57:44 2021 reduce to 23052826 relations and 18810833 ideals in 8 passes
- Mon Jul 05 06:57:44 2021 max relations containing the same ideal: 120
- Mon Jul 05 06:58:00 2021 removing 3006325 relations and 2006325 ideals in 1000000 cliques
- Mon Jul 05 06:58:01 2021 commencing in-memory singleton removal
- Mon Jul 05 06:58:03 2021 begin with 20046501 relations and 18810833 unique ideals
- Mon Jul 05 06:58:20 2021 reduce to 19772933 relations and 16520420 ideals in 7 passes
- Mon Jul 05 06:58:20 2021 max relations containing the same ideal: 108
- Mon Jul 05 06:58:32 2021 removing 2962395 relations and 1962395 ideals in 1000000 cliques
- Mon Jul 05 06:58:33 2021 commencing in-memory singleton removal
- Mon Jul 05 06:58:35 2021 begin with 16810538 relations and 16520420 unique ideals
- Mon Jul 05 06:58:50 2021 reduce to 16516000 relations and 14250467 ideals in 7 passes
- Mon Jul 05 06:58:50 2021 max relations containing the same ideal: 94
- Mon Jul 05 06:59:00 2021 removing 2935187 relations and 1935187 ideals in 1000000 cliques
- Mon Jul 05 06:59:01 2021 commencing in-memory singleton removal
- Mon Jul 05 06:59:03 2021 begin with 13580813 relations and 14250467 unique ideals
- Mon Jul 05 06:59:15 2021 reduce to 13247277 relations and 11964045 ideals in 7 passes
- Mon Jul 05 06:59:15 2021 max relations containing the same ideal: 80
- Mon Jul 05 06:59:23 2021 removing 2795759 relations and 1844997 ideals in 950762 cliques
- Mon Jul 05 06:59:24 2021 commencing in-memory singleton removal
- Mon Jul 05 06:59:25 2021 begin with 10451518 relations and 11964045 unique ideals
- Mon Jul 05 06:59:35 2021 reduce to 10076857 relations and 9721149 ideals in 8 passes
- Mon Jul 05 06:59:35 2021 max relations containing the same ideal: 68
- Mon Jul 05 06:59:42 2021 removing 135616 relations and 112378 ideals in 23238 cliques
- Mon Jul 05 06:59:42 2021 commencing in-memory singleton removal
- Mon Jul 05 06:59:44 2021 begin with 9941241 relations and 9721149 unique ideals
- Mon Jul 05 06:59:48 2021 reduce to 9939720 relations and 9607247 ideals in 5 passes
- Mon Jul 05 06:59:48 2021 max relations containing the same ideal: 67
- Mon Jul 05 06:59:50 2021 relations with 0 large ideals: 21095
- Mon Jul 05 06:59:50 2021 relations with 1 large ideals: 6676
- Mon Jul 05 06:59:50 2021 relations with 2 large ideals: 55079
- Mon Jul 05 06:59:50 2021 relations with 3 large ideals: 336469
- Mon Jul 05 06:59:50 2021 relations with 4 large ideals: 1119953
- Mon Jul 05 06:59:50 2021 relations with 5 large ideals: 2182012
- Mon Jul 05 06:59:50 2021 relations with 6 large ideals: 2629063
- Mon Jul 05 06:59:50 2021 relations with 7+ large ideals: 3589373
- Mon Jul 05 06:59:50 2021 commencing 2-way merge
- Mon Jul 05 07:00:00 2021 reduce to 6699084 relation sets and 6366611 unique ideals
- Mon Jul 05 07:00:00 2021 commencing full merge
- Mon Jul 05 07:03:14 2021 memory use: 881.8 MB
- Mon Jul 05 07:03:16 2021 found 3174489 cycles, need 3142811
- Mon Jul 05 07:03:16 2021 weight of 3142811 cycles is about 314518634 (100.08/cycle)
- Mon Jul 05 07:03:16 2021 distribution of cycle lengths:
- Mon Jul 05 07:03:16 2021 1 relations: 162489
- Mon Jul 05 07:03:16 2021 2 relations: 213229
- Mon Jul 05 07:03:16 2021 3 relations: 249173
- Mon Jul 05 07:03:16 2021 4 relations: 260811
- Mon Jul 05 07:03:16 2021 5 relations: 267063
- Mon Jul 05 07:03:16 2021 6 relations: 261756
- Mon Jul 05 07:03:16 2021 7 relations: 249735
- Mon Jul 05 07:03:16 2021 8 relations: 231461
- Mon Jul 05 07:03:16 2021 9 relations: 208371
- Mon Jul 05 07:03:16 2021 10+ relations: 1038723
- Mon Jul 05 07:03:16 2021 heaviest cycle: 28 relations
- Mon Jul 05 07:03:18 2021 commencing cycle optimization
- Mon Jul 05 07:03:24 2021 start with 25017382 relations
- Mon Jul 05 07:04:42 2021 pruned 1125479 relations
- Mon Jul 05 07:04:42 2021 memory use: 670.6 MB
- Mon Jul 05 07:04:42 2021 distribution of cycle lengths:
- Mon Jul 05 07:04:42 2021 1 relations: 162489
- Mon Jul 05 07:04:42 2021 2 relations: 218108
- Mon Jul 05 07:04:42 2021 3 relations: 259699
- Mon Jul 05 07:04:42 2021 4 relations: 272001
- Mon Jul 05 07:04:42 2021 5 relations: 281016
- Mon Jul 05 07:04:42 2021 6 relations: 274569
- Mon Jul 05 07:04:42 2021 7 relations: 263369
- Mon Jul 05 07:04:42 2021 8 relations: 241836
- Mon Jul 05 07:04:42 2021 9 relations: 216425
- Mon Jul 05 07:04:42 2021 10+ relations: 953299
- Mon Jul 05 07:04:42 2021 heaviest cycle: 28 relations
- Mon Jul 05 07:04:47 2021 RelProcTime: 1712
- Mon Jul 05 07:04:47 2021
- Mon Jul 05 07:04:47 2021 commencing linear algebra
- Mon Jul 05 07:04:48 2021 read 3142811 cycles
- Mon Jul 05 07:04:55 2021 cycles contain 9772730 unique relations
- Mon Jul 05 07:05:53 2021 read 9772730 relations
- Mon Jul 05 07:06:16 2021 using 20 quadratic characters above 4294917295
- Mon Jul 05 07:06:58 2021 building initial matrix
- Mon Jul 05 07:09:08 2021 memory use: 1209.8 MB
- Mon Jul 05 07:09:11 2021 read 3142811 cycles
- Mon Jul 05 07:09:12 2021 matrix is 3142634 x 3142811 (1257.6 MB) with weight 359657659 (114.44/col)
- Mon Jul 05 07:09:12 2021 sparse part has weight 295114164 (93.90/col)
- Mon Jul 05 07:09:50 2021 filtering completed in 2 passes
- Mon Jul 05 07:09:51 2021 matrix is 3142399 x 3142576 (1257.6 MB) with weight 359648500 (114.44/col)
- Mon Jul 05 07:09:51 2021 sparse part has weight 295109922 (93.91/col)
- Mon Jul 05 07:10:01 2021 matrix starts at (0, 0)
- Mon Jul 05 07:10:02 2021 matrix is 3142399 x 3142576 (1257.6 MB) with weight 359648500 (114.44/col)
- Mon Jul 05 07:10:02 2021 sparse part has weight 295109922 (93.91/col)
- Mon Jul 05 07:10:02 2021 saving the first 48 matrix rows for later
- Mon Jul 05 07:10:03 2021 matrix includes 64 packed rows
- Mon Jul 05 07:10:04 2021 matrix is 3142351 x 3142576 (1199.7 MB) with weight 304341209 (96.84/col)
- Mon Jul 05 07:10:04 2021 sparse part has weight 283068012 (90.08/col)
- Mon Jul 05 07:10:04 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
- Mon Jul 05 07:10:16 2021 commencing Lanczos iteration (6 threads)
- Mon Jul 05 07:10:16 2021 memory use: 999.1 MB
- Mon Jul 05 07:10:31 2021 linear algebra at 0.0%, ETA 8h33m
- Mon Jul 05 07:10:36 2021 checkpointing every 370000 dimensions
- Mon Jul 05 15:16:41 2021 lanczos halted after 49694 iterations (dim = 3142349)
- Mon Jul 05 15:16:44 2021 recovered 40 nontrivial dependencies
- Mon Jul 05 15:16:45 2021 BLanczosTime: 29518
- Mon Jul 05 15:16:45 2021
- Mon Jul 05 15:16:45 2021 commencing square root phase
- Mon Jul 05 15:16:45 2021 handling dependencies 1 to 64
- Mon Jul 05 15:16:45 2021 reading relations for dependency 1
- Mon Jul 05 15:16:45 2021 read 1571721 cycles
- Mon Jul 05 15:16:49 2021 cycles contain 4887066 unique relations
- Mon Jul 05 15:17:19 2021 read 4887066 relations
- Mon Jul 05 15:17:46 2021 multiplying 4887066 relations
- Mon Jul 05 15:19:54 2021 multiply complete, coefficients have about 116.26 million bits
- Mon Jul 05 15:19:55 2021 initial square root is modulo 221266853
- Mon Jul 05 15:22:35 2021 GCD is 1, no factor found
- Mon Jul 05 15:22:35 2021 reading relations for dependency 2
- Mon Jul 05 15:22:35 2021 read 1571819 cycles
- Mon Jul 05 15:22:39 2021 cycles contain 4887156 unique relations
- Mon Jul 05 15:23:08 2021 read 4887156 relations
- Mon Jul 05 15:23:35 2021 multiplying 4887156 relations
- Mon Jul 05 15:25:44 2021 multiply complete, coefficients have about 116.26 million bits
- Mon Jul 05 15:25:45 2021 initial square root is modulo 221367961
- Mon Jul 05 15:28:18 2021 GCD is N, no factor found
- Mon Jul 05 15:28:18 2021 reading relations for dependency 3
- Mon Jul 05 15:28:19 2021 read 1571322 cycles
- Mon Jul 05 15:28:22 2021 cycles contain 4886042 unique relations
- Mon Jul 05 15:28:49 2021 read 4886042 relations
- Mon Jul 05 15:29:14 2021 multiplying 4886042 relations
- Mon Jul 05 15:31:27 2021 multiply complete, coefficients have about 116.24 million bits
- Mon Jul 05 15:31:28 2021 initial square root is modulo 220478723
- Mon Jul 05 15:34:07 2021 GCD is N, no factor found
- Mon Jul 05 15:34:07 2021 reading relations for dependency 4
- Mon Jul 05 15:34:07 2021 read 1570958 cycles
- Mon Jul 05 15:34:11 2021 cycles contain 4883252 unique relations
- Mon Jul 05 15:34:40 2021 read 4883252 relations
- Mon Jul 05 15:35:05 2021 multiplying 4883252 relations
- Mon Jul 05 15:37:08 2021 multiply complete, coefficients have about 116.17 million bits
- Mon Jul 05 15:37:09 2021 initial square root is modulo 218111827
- Mon Jul 05 15:39:53 2021 GCD is N, no factor found
- Mon Jul 05 15:39:53 2021 reading relations for dependency 5
- Mon Jul 05 15:39:54 2021 read 1571330 cycles
- Mon Jul 05 15:39:57 2021 cycles contain 4886286 unique relations
- Mon Jul 05 15:40:25 2021 read 4886286 relations
- Mon Jul 05 15:40:52 2021 multiplying 4886286 relations
- Mon Jul 05 15:43:04 2021 multiply complete, coefficients have about 116.24 million bits
- Mon Jul 05 15:43:05 2021 initial square root is modulo 220612943
- Mon Jul 05 15:45:39 2021 sqrtTime: 1734
- Mon Jul 05 15:45:39 2021 p86 factor: 17834568113455004334082372058684309184810665365534713606257569225691140443186339574303
- Mon Jul 05 15:45:39 2021 p87 factor: 423065935452879984570055851584663073069871769686624378300550340132225095626322160978101
- Mon Jul 05 15:45:39 2021 elapsed time 09:09:25
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