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- Sat Sep 20 10:26:09 2025
- Sat Sep 20 10:26:09 2025
- Sat Sep 20 10:26:09 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Sep 20 10:26:09 2025 random seeds: 21767cc3 aef07a1f
- Sat Sep 20 10:26:09 2025 MPI process 0 of 1
- Sat Sep 20 10:26:09 2025 Using 32 OpenMP threads
- Sat Sep 20 10:26:09 2025 factoring 3833295519591452537814501872348408935485031600823567658550349528189430593245584099211977392060520249457142053140815703988322283753148503997060221898962881390496855580121605319622612871 (184 digits)
- Sat Sep 20 10:26:10 2025 searching for 15-digit factors
- Sat Sep 20 10:26:11 2025 commencing number field sieve (184-digit input)
- Sat Sep 20 10:26:11 2025 reversing signs of algebraic polynomial
- Sat Sep 20 10:26:11 2025 R0: -159894910810929895501292252755841858
- Sat Sep 20 10:26:11 2025 R1: 77270121461651591151982819
- Sat Sep 20 10:26:11 2025 A0: -1004205178802630531026758938994048513319866
- Sat Sep 20 10:26:11 2025 A1: 371811131368892042662503653381968778
- Sat Sep 20 10:26:11 2025 A2: 42847186111048060677975648189
- Sat Sep 20 10:26:11 2025 A3: 5084785838292311051017
- Sat Sep 20 10:26:11 2025 A4: 734121926133162
- Sat Sep 20 10:26:11 2025 A5: 219708720
- Sat Sep 20 10:26:11 2025 skew 6951790.40, size 5.328e-18, alpha -7.822, combined = 4.937e-14 rroots = 1
- Sat Sep 20 10:26:11 2025
- Sat Sep 20 10:26:11 2025 commencing relation filtering
- Sat Sep 20 10:26:11 2025 setting target matrix density to 130.0
- Sat Sep 20 10:26:11 2025 reversing signs of algebraic polynomial
- Sat Sep 20 10:26:11 2025 estimated available RAM is 257736.5 MB
- Sat Sep 20 10:26:11 2025 commencing duplicate removal, pass 1
- Sat Sep 20 10:26:21 2025 error -1 reading relation 4205061
- Sat Sep 20 10:26:32 2025 error -1 reading relation 8558093
- Sat Sep 20 10:27:13 2025 error -1 reading relation 25543169
- Sat Sep 20 10:27:21 2025 error -1 reading relation 29111658
- Sat Sep 20 10:27:58 2025 error -1 reading relation 44934113
- Sat Sep 20 10:29:18 2025 error -1 reading relation 79273115
- Sat Sep 20 10:29:41 2025 error -1 reading relation 89188064
- Sat Sep 20 10:30:06 2025 error -1 reading relation 99440234
- Sat Sep 20 10:31:39 2025 error -15 reading relation 138387347
- Sat Sep 20 10:31:43 2025 error -1 reading relation 140244020
- Sat Sep 20 10:31:51 2025 error -1 reading relation 143200665
- Sat Sep 20 10:32:19 2025 error -1 reading relation 154749471
- Sat Sep 20 10:34:03 2025 error -1 reading relation 198342455
- Sat Sep 20 10:35:02 2025 error -15 reading relation 222933995
- Sat Sep 20 10:35:13 2025 error -1 reading relation 227663806
- Sat Sep 20 10:35:22 2025 error -1 reading relation 231703726
- Sat Sep 20 10:35:26 2025 error -1 reading relation 232902392
- Sat Sep 20 10:35:37 2025 error -1 reading relation 237654642
- Sat Sep 20 10:35:49 2025 error -1 reading relation 242509889
- Sat Sep 20 10:36:00 2025 error -1 reading relation 247204492
- Sat Sep 20 10:36:14 2025 error -1 reading relation 253064704
- Sat Sep 20 10:36:18 2025 error -1 reading relation 254794556
- Sat Sep 20 10:36:20 2025 error -15 reading relation 255500604
- Sat Sep 20 10:36:43 2025 error -1 reading relation 264673481
- Sat Sep 20 10:36:48 2025 error -1 reading relation 267045244
- Sat Sep 20 10:36:54 2025 error -1 reading relation 269357076
- Sat Sep 20 10:37:01 2025 error -1 reading relation 272498476
- Sat Sep 20 10:37:53 2025 error -6 reading relation 294496873
- Sat Sep 20 10:38:02 2025 error -6 reading relation 298104415
- Sat Sep 20 10:38:21 2025 error -1 reading relation 305887950
- Sat Sep 20 10:38:33 2025 error -15 reading relation 310462588
- Sat Sep 20 10:38:48 2025 error -1 reading relation 316944521
- Sat Sep 20 10:38:49 2025 error -1 reading relation 317346666
- Sat Sep 20 10:38:58 2025 error -1 reading relation 320586813
- Sat Sep 20 10:39:00 2025 error -1 reading relation 321592157
- Sat Sep 20 10:39:02 2025 error -1 reading relation 322416164
- Sat Sep 20 10:39:04 2025 error -11 reading relation 323159157
- Sat Sep 20 10:39:04 2025 error -6 reading relation 323160185
- Sat Sep 20 10:39:15 2025 error -1 reading relation 327592973
- Sat Sep 20 10:39:37 2025 error -15 reading relation 335740113
- Sat Sep 20 10:39:49 2025 error -1 reading relation 340218436
- Sat Sep 20 10:39:49 2025 error -15 reading relation 340547214
- Sat Sep 20 10:40:09 2025 error -1 reading relation 348601157
- Sat Sep 20 10:40:09 2025 error -1 reading relation 348659367
- Sat Sep 20 10:40:28 2025 error -1 reading relation 356293886
- Sat Sep 20 10:40:38 2025 error -1 reading relation 360294584
- Sat Sep 20 10:40:39 2025 error -1 reading relation 360721568
- Sat Sep 20 10:40:39 2025 error -1 reading relation 360963871
- Sat Sep 20 10:40:40 2025 error -15 reading relation 361201634
- Sat Sep 20 10:40:53 2025 error -1 reading relation 366119744
- Sat Sep 20 10:41:10 2025 error -1 reading relation 373188643
- Sat Sep 20 10:42:01 2025 error -1 reading relation 392088288
- Sat Sep 20 10:42:16 2025 error -1 reading relation 398565976
- Sat Sep 20 10:42:39 2025 error -1 reading relation 408266798
- Sat Sep 20 10:42:44 2025 error -1 reading relation 410500983
- Sat Sep 20 10:43:12 2025 error -1 reading relation 421241001
- Sat Sep 20 10:43:23 2025 error -1 reading relation 424989594
- Sat Sep 20 10:43:38 2025 error -1 reading relation 431173706
- Sat Sep 20 10:43:38 2025 error -1 reading relation 431311548
- Sat Sep 20 10:43:50 2025 skipped 4 relations with composite factors
- Sat Sep 20 10:43:50 2025 skipped 455 malformed relations
- Sat Sep 20 10:43:50 2025 found 88597182 hash collisions in 435864616 relations
- Sat Sep 20 10:44:28 2025 added 122293 free relations
- Sat Sep 20 10:44:28 2025 commencing duplicate removal, pass 2
- Sat Sep 20 10:59:12 2025 found 91720987 duplicates and 344265922 unique relations
- Sat Sep 20 10:59:12 2025 memory use: 2643.0 MB
- Sat Sep 20 10:59:13 2025 reading ideals above 720000
- Sat Sep 20 10:59:13 2025 commencing singleton removal, initial pass
- Sat Sep 20 11:52:23 2025 memory use: 11024.0 MB
- Sat Sep 20 11:52:24 2025 reading all ideals from disk
- Sat Sep 20 11:52:35 2025 memory use: 17028.6 MB
- Sat Sep 20 11:54:01 2025 keeping 332528651 ideals with weight <= 200, target excess is 1740265
- Sat Sep 20 11:55:54 2025 commencing in-memory singleton removal
- Sat Sep 20 11:56:04 2025 begin with 344265922 relations and 332528651 unique ideals
- Sat Sep 20 11:56:45 2025 reduce to 207222084 relations and 180113745 ideals in 17 passes
- Sat Sep 20 11:56:45 2025 max relations containing the same ideal: 155
- Sat Sep 20 12:00:00 2025 removing 14769687 relations and 12769687 ideals in 2000000 cliques
- Sat Sep 20 12:00:23 2025 commencing in-memory singleton removal
- Sat Sep 20 12:00:29 2025 begin with 192452397 relations and 180113745 unique ideals
- Sat Sep 20 12:00:47 2025 reduce to 191581025 relations and 166460982 ideals in 9 passes
- Sat Sep 20 12:00:47 2025 max relations containing the same ideal: 147
- Sat Sep 20 12:03:07 2025 removing 11102534 relations and 9102534 ideals in 2000000 cliques
- Sat Sep 20 12:03:18 2025 commencing in-memory singleton removal
- Sat Sep 20 12:03:21 2025 begin with 180478491 relations and 166460982 unique ideals
- Sat Sep 20 12:03:36 2025 reduce to 179927864 relations and 156801579 ideals in 9 passes
- Sat Sep 20 12:03:36 2025 max relations containing the same ideal: 139
- Sat Sep 20 12:06:21 2025 removing 9972924 relations and 7972924 ideals in 2000000 cliques
- Sat Sep 20 12:06:33 2025 commencing in-memory singleton removal
- Sat Sep 20 12:06:37 2025 begin with 169954940 relations and 156801579 unique ideals
- Sat Sep 20 12:06:50 2025 reduce to 169477404 relations and 148345709 ideals in 8 passes
- Sat Sep 20 12:06:50 2025 max relations containing the same ideal: 135
- Sat Sep 20 12:09:22 2025 removing 9379945 relations and 7379945 ideals in 2000000 cliques
- Sat Sep 20 12:09:31 2025 commencing in-memory singleton removal
- Sat Sep 20 12:09:35 2025 begin with 160097459 relations and 148345709 unique ideals
- Sat Sep 20 12:09:52 2025 reduce to 159647860 relations and 140511043 ideals in 9 passes
- Sat Sep 20 12:09:52 2025 max relations containing the same ideal: 128
- Sat Sep 20 12:12:09 2025 removing 9009228 relations and 7009228 ideals in 2000000 cliques
- Sat Sep 20 12:12:17 2025 commencing in-memory singleton removal
- Sat Sep 20 12:12:22 2025 begin with 150638632 relations and 140511043 unique ideals
- Sat Sep 20 12:12:36 2025 reduce to 150201556 relations and 133059617 ideals in 8 passes
- Sat Sep 20 12:12:36 2025 max relations containing the same ideal: 126
- Sat Sep 20 12:14:44 2025 removing 8772170 relations and 6772170 ideals in 2000000 cliques
- Sat Sep 20 12:14:52 2025 commencing in-memory singleton removal
- Sat Sep 20 12:14:56 2025 begin with 141429386 relations and 133059617 unique ideals
- Sat Sep 20 12:15:08 2025 reduce to 140990652 relations and 125843408 ideals in 7 passes
- Sat Sep 20 12:15:08 2025 max relations containing the same ideal: 119
- Sat Sep 20 12:17:07 2025 removing 8615416 relations and 6615416 ideals in 2000000 cliques
- Sat Sep 20 12:17:14 2025 commencing in-memory singleton removal
- Sat Sep 20 12:17:18 2025 begin with 132375236 relations and 125843408 unique ideals
- Sat Sep 20 12:17:31 2025 reduce to 131921196 relations and 118768228 ideals in 9 passes
- Sat Sep 20 12:17:31 2025 max relations containing the same ideal: 113
- Sat Sep 20 12:19:26 2025 removing 8518359 relations and 6518359 ideals in 2000000 cliques
- Sat Sep 20 12:19:33 2025 commencing in-memory singleton removal
- Sat Sep 20 12:19:37 2025 begin with 123402837 relations and 118768228 unique ideals
- Sat Sep 20 12:19:47 2025 reduce to 122930426 relations and 111771060 ideals in 8 passes
- Sat Sep 20 12:19:47 2025 max relations containing the same ideal: 110
- Sat Sep 20 12:21:30 2025 removing 8474462 relations and 6474462 ideals in 2000000 cliques
- Sat Sep 20 12:21:38 2025 commencing in-memory singleton removal
- Sat Sep 20 12:21:41 2025 begin with 114455964 relations and 111771060 unique ideals
- Sat Sep 20 12:21:48 2025 reduce to 113955523 relations and 104788940 ideals in 7 passes
- Sat Sep 20 12:21:48 2025 max relations containing the same ideal: 103
- Sat Sep 20 12:23:23 2025 removing 8480721 relations and 6480721 ideals in 2000000 cliques
- Sat Sep 20 12:23:30 2025 commencing in-memory singleton removal
- Sat Sep 20 12:23:33 2025 begin with 105474802 relations and 104788940 unique ideals
- Sat Sep 20 12:23:40 2025 reduce to 104934279 relations and 97759491 ideals in 7 passes
- Sat Sep 20 12:23:40 2025 max relations containing the same ideal: 97
- Sat Sep 20 12:25:22 2025 removing 8522505 relations and 6522505 ideals in 2000000 cliques
- Sat Sep 20 12:25:29 2025 commencing in-memory singleton removal
- Sat Sep 20 12:25:32 2025 begin with 96411774 relations and 97759491 unique ideals
- Sat Sep 20 12:25:40 2025 reduce to 95814145 relations and 90629692 ideals in 8 passes
- Sat Sep 20 12:25:40 2025 max relations containing the same ideal: 91
- Sat Sep 20 12:27:01 2025 removing 8609777 relations and 6609777 ideals in 2000000 cliques
- Sat Sep 20 12:27:07 2025 commencing in-memory singleton removal
- Sat Sep 20 12:27:10 2025 begin with 87204368 relations and 90629692 unique ideals
- Sat Sep 20 12:27:18 2025 reduce to 86526671 relations and 83329915 ideals in 9 passes
- Sat Sep 20 12:27:18 2025 max relations containing the same ideal: 85
- Sat Sep 20 12:28:35 2025 removing 5765983 relations and 4587935 ideals in 1178048 cliques
- Sat Sep 20 12:28:41 2025 commencing in-memory singleton removal
- Sat Sep 20 12:28:43 2025 begin with 80760688 relations and 83329915 unique ideals
- Sat Sep 20 12:28:49 2025 reduce to 80441231 relations and 78418672 ideals in 7 passes
- Sat Sep 20 12:28:49 2025 max relations containing the same ideal: 81
- Sat Sep 20 12:30:14 2025 relations with 0 large ideals: 5810
- Sat Sep 20 12:30:14 2025 relations with 1 large ideals: 32328
- Sat Sep 20 12:30:14 2025 relations with 2 large ideals: 448325
- Sat Sep 20 12:30:14 2025 relations with 3 large ideals: 2734627
- Sat Sep 20 12:30:14 2025 relations with 4 large ideals: 9061572
- Sat Sep 20 12:30:14 2025 relations with 5 large ideals: 17977351
- Sat Sep 20 12:30:14 2025 relations with 6 large ideals: 22240558
- Sat Sep 20 12:30:14 2025 relations with 7+ large ideals: 27940660
- Sat Sep 20 12:30:14 2025 commencing 2-way merge
- Sat Sep 20 12:31:53 2025 reduce to 49920648 relation sets and 47898089 unique ideals
- Sat Sep 20 12:31:53 2025 commencing full merge
- Sat Sep 20 13:09:55 2025 memory use: 5715.7 MB
- Sat Sep 20 13:10:03 2025 found 21230742 cycles, need 21226289
- Sat Sep 20 13:10:14 2025 weight of 21226289 cycles is about 2760011287 (130.03/cycle)
- Sat Sep 20 13:10:14 2025 distribution of cycle lengths:
- Sat Sep 20 13:10:14 2025 1 relations: 1568906
- Sat Sep 20 13:10:14 2025 2 relations: 1447134
- Sat Sep 20 13:10:14 2025 3 relations: 1466874
- Sat Sep 20 13:10:14 2025 4 relations: 1412616
- Sat Sep 20 13:10:14 2025 5 relations: 1405306
- Sat Sep 20 13:10:14 2025 6 relations: 1349860
- Sat Sep 20 13:10:14 2025 7 relations: 1325378
- Sat Sep 20 13:10:14 2025 8 relations: 1253353
- Sat Sep 20 13:10:14 2025 9 relations: 1200258
- Sat Sep 20 13:10:14 2025 10+ relations: 8796604
- Sat Sep 20 13:10:14 2025 heaviest cycle: 28 relations
- Sat Sep 20 13:10:23 2025 commencing cycle optimization
- Sat Sep 20 13:11:54 2025 start with 192459780 relations
- Sat Sep 20 13:25:24 2025 pruned 8124754 relations
- Sat Sep 20 13:25:24 2025 memory use: 5236.9 MB
- Sat Sep 20 13:25:24 2025 distribution of cycle lengths:
- Sat Sep 20 13:25:24 2025 1 relations: 1568906
- Sat Sep 20 13:25:24 2025 2 relations: 1485979
- Sat Sep 20 13:25:24 2025 3 relations: 1527256
- Sat Sep 20 13:25:24 2025 4 relations: 1466439
- Sat Sep 20 13:25:24 2025 5 relations: 1466510
- Sat Sep 20 13:25:24 2025 6 relations: 1407184
- Sat Sep 20 13:25:24 2025 7 relations: 1383219
- Sat Sep 20 13:25:24 2025 8 relations: 1303898
- Sat Sep 20 13:25:24 2025 9 relations: 1247181
- Sat Sep 20 13:25:24 2025 10+ relations: 8369717
- Sat Sep 20 13:25:24 2025 heaviest cycle: 28 relations
- Sat Sep 20 13:26:23 2025 RelProcTime: 10812
- Sat Sep 20 13:26:32 2025
- Sat Sep 20 13:26:32 2025 commencing linear algebra
- Sat Sep 20 13:26:32 2025 using VBITS=256
- Sat Sep 20 13:26:32 2025 stopping after matrix build
- Sat Sep 20 13:26:32 2025 initialized process (0,0) of 1 x 1 grid
- Sat Sep 20 13:26:32 2025 reversing signs of algebraic polynomial
- Sat Sep 20 13:26:36 2025 read 21226289 cycles
- Sat Sep 20 13:27:57 2025 cycles contain 79052430 unique relations
- Sat Sep 20 13:37:32 2025 read 79052430 relations
- Sat Sep 20 13:37:48 2025 using 20 quadratic characters above 4294917295
- Sat Sep 20 13:38:01 2025 building initial matrix
- Sat Sep 20 14:17:52 2025 memory use: 11367.5 MB
- Sat Sep 20 14:18:24 2025 read 21226289 cycles
- Sat Sep 20 14:18:31 2025 matrix is 21226112 x 21226289 (10749.4 MB) with weight 3308491944 (155.87/col)
- Sat Sep 20 14:18:31 2025 sparse part has weight 2563181762 (120.76/col)
- Sat Sep 20 14:31:18 2025 filtering completed in 2 passes
- Sat Sep 20 14:31:28 2025 matrix is 21225802 x 21225978 (10749.4 MB) with weight 3308477278 (155.87/col)
- Sat Sep 20 14:31:28 2025 sparse part has weight 2563178752 (120.76/col)
- Sat Sep 20 14:34:35 2025 BLanczosTime: 4083
- Sat Sep 20 14:34:35 2025 elapsed time 04:08:26
- Sat Sep 20 18:33:54 2025
- Sat Sep 20 18:33:54 2025
- Sat Sep 20 18:33:54 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Sep 20 18:33:54 2025 random seeds: 6584695c eead08f0
- Sat Sep 20 18:33:54 2025 MPI process 0 of 1
- Sat Sep 20 18:33:54 2025 Using 64 OpenMP threads
- Sat Sep 20 18:33:54 2025 factoring 3833295519591452537814501872348408935485031600823567658550349528189430593245584099211977392060520249457142053140815703988322283753148503997060221898962881390496855580121605319622612871 (184 digits)
- Sat Sep 20 18:33:55 2025 searching for 15-digit factors
- Sat Sep 20 18:33:56 2025 commencing number field sieve (184-digit input)
- Sat Sep 20 18:33:56 2025 reversing signs of algebraic polynomial
- Sat Sep 20 18:33:56 2025 R0: -159894910810929895501292252755841858
- Sat Sep 20 18:33:56 2025 R1: 77270121461651591151982819
- Sat Sep 20 18:33:56 2025 A0: -1004205178802630531026758938994048513319866
- Sat Sep 20 18:33:56 2025 A1: 371811131368892042662503653381968778
- Sat Sep 20 18:33:56 2025 A2: 42847186111048060677975648189
- Sat Sep 20 18:33:56 2025 A3: 5084785838292311051017
- Sat Sep 20 18:33:56 2025 A4: 734121926133162
- Sat Sep 20 18:33:56 2025 A5: 219708720
- Sat Sep 20 18:33:56 2025 skew 6951790.40, size 5.328e-18, alpha -7.822, combined = 4.937e-14 rroots = 1
- Sat Sep 20 18:33:56 2025
- Sat Sep 20 18:33:56 2025 commencing linear algebra
- Sat Sep 20 18:33:56 2025 using VBITS=256
- Sat Sep 20 18:33:56 2025 skipping matrix build
- Sat Sep 20 18:33:56 2025 initialized process (0,0) of 1 x 1 grid
- Sat Sep 20 18:34:14 2025 matrix starts at (0, 0)
- Sat Sep 20 18:34:21 2025 matrix is 21225802 x 21225978 (10749.4 MB) with weight 3308477278 (155.87/col)
- Sat Sep 20 18:34:21 2025 sparse part has weight 2563178752 (120.76/col)
- Sat Sep 20 18:34:21 2025 saving the first 240 matrix rows for later
- Sat Sep 20 18:34:30 2025 matrix includes 256 packed rows
- Sat Sep 20 18:34:45 2025 matrix is 21225562 x 21225978 (9846.2 MB) with weight 2376673309 (111.97/col)
- Sat Sep 20 18:34:45 2025 sparse part has weight 2241506784 (105.60/col)
- Sat Sep 20 18:34:45 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Sat Sep 20 18:35:41 2025 commencing Lanczos iteration (64 threads)
- Sat Sep 20 18:35:41 2025 memory use: 13915.4 MB
- Sat Sep 20 18:39:01 2025 linear algebra at 0.1%, ETA 37h40m
- Sat Sep 20 18:43:45 2025 checking every 10000 dimensions, checkpointing every 580000 dimensions
- Mon Sep 22 07:22:02 2025 lanczos halted after 83163 iterations (dim = 21225561)
- Mon Sep 22 07:24:31 2025 recovered 31 nontrivial dependencies
- Mon Sep 22 07:24:37 2025 BLanczosTime: 132641
- Mon Sep 22 07:24:37 2025
- Mon Sep 22 07:24:37 2025 commencing square root phase
- Mon Sep 22 07:24:37 2025 reversing signs of algebraic polynomial
- Mon Sep 22 07:24:37 2025 handling dependencies 1 to 64
- Mon Sep 22 07:24:37 2025 reading relations for dependency 1
- Mon Sep 22 07:24:42 2025 read 10613830 cycles
- Mon Sep 22 07:25:32 2025 cycles contain 39531180 unique relations
- Mon Sep 22 07:34:41 2025 read 39531180 relations
- Mon Sep 22 07:40:55 2025 multiplying 39531180 relations
- Mon Sep 22 07:49:53 2025 multiply complete, coefficients have about 2586.91 million bits
- Mon Sep 22 07:50:04 2025 initial square root is modulo 634079
- Mon Sep 22 08:22:39 2025 sqrtTime: 3482
- Mon Sep 22 08:22:39 2025 p79 factor: 3301320489971821697523443535617252699489299358545353149042971008483918989766637
- Mon Sep 22 08:22:39 2025 p106 factor: 1161140074474917609120315186578024647543805628896368407576421825697850630064575809944450619392538307686083
- Mon Sep 22 08:22:39 2025 elapsed time 37:48:45
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