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- Mon Apr 24 10:29:11 2023 Msieve v. 1.54 (SVN 03e8738)
- Mon Apr 24 10:29:11 2023 random seeds: 41b97589 9b40c405
- Mon Apr 24 10:29:11 2023 Using 16 OpenMP threads
- Mon Apr 24 10:29:11 2023 factoring 4640017654909399602652811922443598320790507862715171330763573959015816246588859150066932434236710954439582802698362471404507189085452589324159412380467544752753857113893050254399061844317808264919245853755803352305389555373844775677 (232 digits)
- Mon Apr 24 10:29:11 2023 no P-1/P+1/ECM available, skipping
- Mon Apr 24 10:29:11 2023 commencing number field sieve (232-digit input)
- Mon Apr 24 10:29:11 2023 R0: 542959721329801227265901721383098064158325557250
- Mon Apr 24 10:29:11 2023 R1: -736858006219516642679807
- Mon Apr 24 10:29:11 2023 A0: 1
- Mon Apr 24 10:29:11 2023 A1: 3
- Mon Apr 24 10:29:11 2023 A2: -3
- Mon Apr 24 10:29:11 2023 A3: -4
- Mon Apr 24 10:29:11 2023 A4: 1
- Mon Apr 24 10:29:11 2023 A5: 1
- Mon Apr 24 10:29:11 2023 skew 1.00, size 3.118e-16, alpha 2.379, combined = 4.332e-13 rroots = 5
- Mon Apr 24 10:29:11 2023
- Mon Apr 24 10:29:11 2023 commencing relation filtering
- Mon Apr 24 10:29:11 2023 setting target matrix density to 110.0
- Mon Apr 24 10:29:11 2023 estimated available RAM is 64238.6 MB
- Mon Apr 24 10:29:11 2023 commencing duplicate removal, pass 1
- Mon Apr 24 10:30:37 2023 skipped 92 relations with b > 2^32
- Mon Apr 24 10:30:37 2023 skipped 1 malformed relations
- Mon Apr 24 10:30:37 2023 found 6749571 hash collisions in 125051920 relations
- Mon Apr 24 10:30:41 2023 added 2926300 free relations
- Mon Apr 24 10:30:41 2023 commencing duplicate removal, pass 2
- Mon Apr 24 10:31:02 2023 found 0 duplicates and 127978220 unique relations
- Mon Apr 24 10:31:02 2023 memory use: 426.4 MB
- Mon Apr 24 10:31:02 2023 reading ideals above 720000
- Mon Apr 24 10:31:02 2023 commencing singleton removal, initial pass
- Mon Apr 24 10:34:53 2023 memory use: 2756.0 MB
- Mon Apr 24 10:34:53 2023 reading all ideals from disk
- Mon Apr 24 10:34:54 2023 memory use: 5949.0 MB
- Mon Apr 24 10:34:59 2023 keeping 106383294 ideals with weight <= 200, target excess is 625450
- Mon Apr 24 10:35:05 2023 commencing in-memory singleton removal
- Mon Apr 24 10:35:07 2023 begin with 127978220 relations and 106383294 unique ideals
- Mon Apr 24 10:35:23 2023 reduce to 109628790 relations and 87436220 ideals in 15 passes
- Mon Apr 24 10:35:23 2023 max relations containing the same ideal: 189
- Mon Apr 24 10:35:41 2023 removing 9508412 relations and 7508412 ideals in 2000000 cliques
- Mon Apr 24 10:35:44 2023 commencing in-memory singleton removal
- Mon Apr 24 10:35:45 2023 begin with 100120378 relations and 87436220 unique ideals
- Mon Apr 24 10:35:52 2023 reduce to 99435685 relations and 79226905 ideals in 7 passes
- Mon Apr 24 10:35:52 2023 max relations containing the same ideal: 180
- Mon Apr 24 10:36:09 2023 removing 7394101 relations and 5394101 ideals in 2000000 cliques
- Mon Apr 24 10:36:11 2023 commencing in-memory singleton removal
- Mon Apr 24 10:36:12 2023 begin with 92041584 relations and 79226905 unique ideals
- Mon Apr 24 10:36:18 2023 reduce to 91574132 relations and 73355562 ideals in 7 passes
- Mon Apr 24 10:36:18 2023 max relations containing the same ideal: 169
- Mon Apr 24 10:36:33 2023 removing 6801081 relations and 4801081 ideals in 2000000 cliques
- Mon Apr 24 10:36:35 2023 commencing in-memory singleton removal
- Mon Apr 24 10:36:37 2023 begin with 84773051 relations and 73355562 unique ideals
- Mon Apr 24 10:36:42 2023 reduce to 84351752 relations and 68124335 ideals in 7 passes
- Mon Apr 24 10:36:42 2023 max relations containing the same ideal: 162
- Mon Apr 24 10:36:57 2023 removing 6524664 relations and 4524664 ideals in 2000000 cliques
- Mon Apr 24 10:36:59 2023 commencing in-memory singleton removal
- Mon Apr 24 10:37:00 2023 begin with 77827088 relations and 68124335 unique ideals
- Mon Apr 24 10:37:04 2023 reduce to 77417466 relations and 63181012 ideals in 7 passes
- Mon Apr 24 10:37:04 2023 max relations containing the same ideal: 156
- Mon Apr 24 10:37:18 2023 removing 6370046 relations and 4370046 ideals in 2000000 cliques
- Mon Apr 24 10:37:20 2023 commencing in-memory singleton removal
- Mon Apr 24 10:37:21 2023 begin with 71047420 relations and 63181012 unique ideals
- Mon Apr 24 10:37:25 2023 reduce to 70631690 relations and 58385306 ideals in 7 passes
- Mon Apr 24 10:37:25 2023 max relations containing the same ideal: 144
- Mon Apr 24 10:37:38 2023 removing 6284478 relations and 4284478 ideals in 2000000 cliques
- Mon Apr 24 10:37:39 2023 commencing in-memory singleton removal
- Mon Apr 24 10:37:40 2023 begin with 64347212 relations and 58385306 unique ideals
- Mon Apr 24 10:37:44 2023 reduce to 63910056 relations and 53652465 ideals in 7 passes
- Mon Apr 24 10:37:44 2023 max relations containing the same ideal: 134
- Mon Apr 24 10:37:56 2023 removing 6250818 relations and 4250818 ideals in 2000000 cliques
- Mon Apr 24 10:37:57 2023 commencing in-memory singleton removal
- Mon Apr 24 10:37:58 2023 begin with 57659238 relations and 53652465 unique ideals
- Mon Apr 24 10:38:02 2023 reduce to 57182322 relations and 48911383 ideals in 7 passes
- Mon Apr 24 10:38:02 2023 max relations containing the same ideal: 125
- Mon Apr 24 10:38:12 2023 removing 6265671 relations and 4265671 ideals in 2000000 cliques
- Mon Apr 24 10:38:14 2023 commencing in-memory singleton removal
- Mon Apr 24 10:38:14 2023 begin with 50916651 relations and 48911383 unique ideals
- Mon Apr 24 10:38:17 2023 reduce to 50382294 relations and 44094753 ideals in 7 passes
- Mon Apr 24 10:38:17 2023 max relations containing the same ideal: 115
- Mon Apr 24 10:38:27 2023 removing 6315460 relations and 4315460 ideals in 2000000 cliques
- Mon Apr 24 10:38:28 2023 commencing in-memory singleton removal
- Mon Apr 24 10:38:29 2023 begin with 44066834 relations and 44094753 unique ideals
- Mon Apr 24 10:38:32 2023 reduce to 43448827 relations and 39139913 ideals in 8 passes
- Mon Apr 24 10:38:32 2023 max relations containing the same ideal: 104
- Mon Apr 24 10:38:40 2023 removing 6402798 relations and 4402798 ideals in 2000000 cliques
- Mon Apr 24 10:38:42 2023 commencing in-memory singleton removal
- Mon Apr 24 10:38:42 2023 begin with 37046029 relations and 39139913 unique ideals
- Mon Apr 24 10:38:44 2023 reduce to 36301123 relations and 33961847 ideals in 8 passes
- Mon Apr 24 10:38:44 2023 max relations containing the same ideal: 91
- Mon Apr 24 10:38:52 2023 removing 5511494 relations and 3897741 ideals in 1613753 cliques
- Mon Apr 24 10:38:53 2023 commencing in-memory singleton removal
- Mon Apr 24 10:38:54 2023 begin with 30789629 relations and 33961847 unique ideals
- Mon Apr 24 10:38:55 2023 reduce to 30111857 relations and 29358978 ideals in 8 passes
- Mon Apr 24 10:38:55 2023 max relations containing the same ideal: 82
- Mon Apr 24 10:39:02 2023 removing 198873 relations and 171517 ideals in 27356 cliques
- Mon Apr 24 10:39:02 2023 commencing in-memory singleton removal
- Mon Apr 24 10:39:03 2023 begin with 29912984 relations and 29358978 unique ideals
- Mon Apr 24 10:39:04 2023 reduce to 29912068 relations and 29186545 ideals in 5 passes
- Mon Apr 24 10:39:04 2023 max relations containing the same ideal: 81
- Mon Apr 24 10:39:07 2023 relations with 0 large ideals: 50597
- Mon Apr 24 10:39:07 2023 relations with 1 large ideals: 9432
- Mon Apr 24 10:39:07 2023 relations with 2 large ideals: 117252
- Mon Apr 24 10:39:07 2023 relations with 3 large ideals: 773319
- Mon Apr 24 10:39:07 2023 relations with 4 large ideals: 2775366
- Mon Apr 24 10:39:07 2023 relations with 5 large ideals: 5945051
- Mon Apr 24 10:39:07 2023 relations with 6 large ideals: 8954544
- Mon Apr 24 10:39:07 2023 relations with 7+ large ideals: 11286507
- Mon Apr 24 10:39:07 2023 commencing 2-way merge
- Mon Apr 24 10:39:16 2023 reduce to 19649189 relation sets and 18923666 unique ideals
- Mon Apr 24 10:39:16 2023 commencing full merge
- Mon Apr 24 10:44:07 2023 memory use: 2517.9 MB
- Mon Apr 24 10:44:09 2023 found 8899336 cycles, need 8889866
- Mon Apr 24 10:44:10 2023 weight of 8889866 cycles is about 978522952 (110.07/cycle)
- Mon Apr 24 10:44:10 2023 distribution of cycle lengths:
- Mon Apr 24 10:44:10 2023 1 relations: 524963
- Mon Apr 24 10:44:10 2023 2 relations: 610260
- Mon Apr 24 10:44:10 2023 3 relations: 653525
- Mon Apr 24 10:44:10 2023 4 relations: 654788
- Mon Apr 24 10:44:10 2023 5 relations: 649532
- Mon Apr 24 10:44:10 2023 6 relations: 634226
- Mon Apr 24 10:44:10 2023 7 relations: 612423
- Mon Apr 24 10:44:10 2023 8 relations: 580908
- Mon Apr 24 10:44:10 2023 9 relations: 541678
- Mon Apr 24 10:44:10 2023 10+ relations: 3427563
- Mon Apr 24 10:44:10 2023 heaviest cycle: 28 relations
- Mon Apr 24 10:44:12 2023 commencing cycle optimization
- Mon Apr 24 10:44:24 2023 start with 77472353 relations
- Mon Apr 24 10:46:13 2023 pruned 3511123 relations
- Mon Apr 24 10:46:13 2023 memory use: 2032.3 MB
- Mon Apr 24 10:46:13 2023 distribution of cycle lengths:
- Mon Apr 24 10:46:13 2023 1 relations: 524963
- Mon Apr 24 10:46:13 2023 2 relations: 622904
- Mon Apr 24 10:46:13 2023 3 relations: 678762
- Mon Apr 24 10:46:13 2023 4 relations: 680151
- Mon Apr 24 10:46:13 2023 5 relations: 680662
- Mon Apr 24 10:46:13 2023 6 relations: 663984
- Mon Apr 24 10:46:13 2023 7 relations: 643762
- Mon Apr 24 10:46:13 2023 8 relations: 607519
- Mon Apr 24 10:46:13 2023 9 relations: 566554
- Mon Apr 24 10:46:13 2023 10+ relations: 3220605
- Mon Apr 24 10:46:13 2023 heaviest cycle: 28 relations
- Mon Apr 24 10:46:22 2023 RelProcTime: 1031
- Mon Apr 24 10:46:22 2023
- Mon Apr 24 10:46:22 2023 commencing linear algebra
- Mon Apr 24 10:46:22 2023 using VBITS=256
- Mon Apr 24 10:46:23 2023 read 8889866 cycles
- Mon Apr 24 10:46:34 2023 cycles contain 29486554 unique relations
- Mon Apr 24 10:46:50 2023 read 29486554 relations
- Mon Apr 24 10:46:53 2023 using 20 quadratic characters above 4294917295
- Mon Apr 24 10:46:59 2023 building initial matrix
- Mon Apr 24 10:50:07 2023 memory use: 3589.5 MB
- Mon Apr 24 10:50:10 2023 read 8889866 cycles
- Mon Apr 24 10:50:11 2023 matrix is 8889689 x 8889866 (3873.9 MB) with weight 1105283959 (124.33/col)
- Mon Apr 24 10:50:11 2023 sparse part has weight 917736358 (103.23/col)
- Mon Apr 24 10:51:00 2023 filtering completed in 2 passes
- Mon Apr 24 10:51:01 2023 matrix is 8889542 x 8889703 (3873.9 MB) with weight 1105279090 (124.33/col)
- Mon Apr 24 10:51:01 2023 sparse part has weight 917735008 (103.24/col)
- Mon Apr 24 10:51:13 2023 matrix starts at (0, 0)
- Mon Apr 24 10:51:14 2023 matrix is 8889542 x 8889703 (3873.9 MB) with weight 1105279090 (124.33/col)
- Mon Apr 24 10:51:14 2023 sparse part has weight 917735008 (103.24/col)
- Mon Apr 24 10:51:14 2023 saving the first 240 matrix rows for later
- Mon Apr 24 10:51:15 2023 matrix includes 256 packed rows
- Mon Apr 24 10:51:17 2023 matrix is 8889302 x 8889703 (3568.8 MB) with weight 836923708 (94.15/col)
- Mon Apr 24 10:51:17 2023 sparse part has weight 793295049 (89.24/col)
- Mon Apr 24 10:51:17 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
- Mon Apr 24 10:51:17 2023 selected card has CUDA arch 8.6
- Mon Apr 24 10:51:45 2023 commencing Lanczos iteration
- Mon Apr 24 10:51:46 2023 memory use: 8290.5 MB
- Mon Apr 24 10:52:12 2023 linear algebra at 0.3%, ETA 2h 5m
- Mon Apr 24 10:52:50 2023 checking every 70000 dimensions, checkpointing every 4340000 dimensions
- Mon Apr 24 12:55:04 2023 lanczos halted after 34828 iterations (dim = 8889300)
- Mon Apr 24 12:55:25 2023 recovered 35 nontrivial dependencies
- Mon Apr 24 12:55:25 2023 BLanczosTime: 7743
- Mon Apr 24 12:55:25 2023
- Mon Apr 24 12:55:25 2023 commencing square root phase
- Mon Apr 24 12:55:25 2023 handling dependencies 1 to 64
- Mon Apr 24 12:55:25 2023 reading relations for dependency 1
- Mon Apr 24 12:55:26 2023 read 4446828 cycles
- Mon Apr 24 12:55:31 2023 cycles contain 14746484 unique relations
- Mon Apr 24 12:55:42 2023 read 14746484 relations
- Mon Apr 24 12:56:17 2023 multiplying 14746484 relations
- Mon Apr 24 12:57:58 2023 multiply complete, coefficients have about 368.39 million bits
- Mon Apr 24 12:57:59 2023 initial square root is modulo 4074743
- Mon Apr 24 12:59:08 2023 found factor: 13301379233539534906105688153685111535348408472190459789291155488311079259013404053105769387
- Mon Apr 24 12:59:08 2023 reading relations for dependency 2
- Mon Apr 24 12:59:09 2023 read 4445492 cycles
- Mon Apr 24 12:59:14 2023 cycles contain 14741342 unique relations
- Mon Apr 24 12:59:25 2023 read 14741342 relations
- Mon Apr 24 12:59:59 2023 multiplying 14741342 relations
- Mon Apr 24 13:01:40 2023 multiply complete, coefficients have about 368.25 million bits
- Mon Apr 24 13:01:41 2023 initial square root is modulo 4051139
- Mon Apr 24 13:02:49 2023 sqrtTime: 444
- Mon Apr 24 13:02:49 2023 p60 factor: 302934794971283709114745247625137585223709570249416375878153
- Mon Apr 24 13:02:49 2023 p82 factor: 1151526132454257273992191687236974272021186041915069363842528351343011818935838207
- Mon Apr 24 13:02:49 2023 p92 factor: 13301379233539534906105688153685111535348408472190459789291155488311079259013404053105769387
- Mon Apr 24 13:02:49 2023 elapsed time 02:33:38
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