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- Mon May 26 23:57:59 2025
- Mon May 26 23:57:59 2025
- Mon May 26 23:57:59 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Mon May 26 23:57:59 2025 random seeds: e08a8212 9b608bf5
- Mon May 26 23:57:59 2025 MPI process 0 of 1
- Mon May 26 23:57:59 2025 Using 32 OpenMP threads
- Mon May 26 23:57:59 2025 factoring 6896141933727257436344172549868336130146879467514050817040056329177321639796938705617556619175320944014735945012892932107504484456817343583150769327033865783259198599726158557657 (178 digits)
- Mon May 26 23:58:00 2025 searching for 15-digit factors
- Mon May 26 23:58:00 2025 commencing number field sieve (178-digit input)
- Mon May 26 23:58:00 2025 reversing signs of algebraic polynomial
- Mon May 26 23:58:00 2025 R0: -37413145276347277033306193209653296
- Mon May 26 23:58:00 2025 R1: 31619460962767412105355569
- Mon May 26 23:58:00 2025 A0: -103659811851809934929680068273130658090922750
- Mon May 26 23:58:00 2025 A1: 48819635419806791407517630881641985935
- Mon May 26 23:58:00 2025 A2: -1488536621671066977382515445368
- Mon May 26 23:58:00 2025 A3: -8436275264061869841583
- Mon May 26 23:58:00 2025 A4: 33999168779646
- Mon May 26 23:58:00 2025 A5: 166320
- Mon May 26 23:58:00 2025 skew 117206420.91, size 2.463e-17, alpha -8.831, combined = 1.211e-13 rroots = 5
- Mon May 26 23:58:00 2025
- Mon May 26 23:58:00 2025 commencing relation filtering
- Mon May 26 23:58:00 2025 setting target matrix density to 120.0
- Mon May 26 23:58:00 2025 reversing signs of algebraic polynomial
- Mon May 26 23:58:00 2025 estimated available RAM is 257736.5 MB
- Mon May 26 23:58:00 2025 commencing duplicate removal, pass 1
- Mon May 26 23:58:02 2025 error -1 reading relation 802968
- Mon May 26 23:58:46 2025 error -1 reading relation 18295604
- Mon May 26 23:58:47 2025 error -1 reading relation 19005041
- Tue May 27 00:00:51 2025 error -1 reading relation 72552545
- Tue May 27 00:01:10 2025 error -1 reading relation 80411174
- Tue May 27 00:01:45 2025 error -1 reading relation 94699534
- Tue May 27 00:02:53 2025 error -1 reading relation 124049703
- Tue May 27 00:03:00 2025 error -1 reading relation 127117608
- Tue May 27 00:03:02 2025 error -1 reading relation 127834179
- Tue May 27 00:03:02 2025 error -1 reading relation 127849332
- Tue May 27 00:03:27 2025 error -1 reading relation 138815924
- Tue May 27 00:04:12 2025 error -15 reading relation 158353223
- Tue May 27 00:04:35 2025 error -1 reading relation 168324837
- Tue May 27 00:04:37 2025 error -1 reading relation 169349679
- Tue May 27 00:04:37 2025 error -1 reading relation 169356594
- Tue May 27 00:04:49 2025 error -1 reading relation 174880482
- Tue May 27 00:04:56 2025 error -1 reading relation 177632527
- Tue May 27 00:05:16 2025 error -1 reading relation 186212939
- Tue May 27 00:05:17 2025 error -1 reading relation 186607276
- Tue May 27 00:05:34 2025 error -1 reading relation 194526771
- Tue May 27 00:05:34 2025 error -1 reading relation 194530937
- Tue May 27 00:06:23 2025 error -1 reading relation 214799011
- Tue May 27 00:06:27 2025 error -1 reading relation 216681187
- Tue May 27 00:06:57 2025 error -1 reading relation 229496972
- Tue May 27 00:07:24 2025 error -15 reading relation 239915132
- Tue May 27 00:08:17 2025 error -1 reading relation 263454937
- Tue May 27 00:08:34 2025 error -1 reading relation 270556032
- Tue May 27 00:08:55 2025 error -1 reading relation 279867971
- Tue May 27 00:09:30 2025 error -1 reading relation 294480899
- Tue May 27 00:09:30 2025 error -1 reading relation 294488948
- Tue May 27 00:09:39 2025 error -1 reading relation 298243001
- Tue May 27 00:09:42 2025 error -1 reading relation 299851929
- Tue May 27 00:09:42 2025 error -1 reading relation 299907585
- Tue May 27 00:10:21 2025 error -1 reading relation 316578886
- Tue May 27 00:10:47 2025 error -1 reading relation 328008520
- Tue May 27 00:10:47 2025 error -1 reading relation 328333402
- Tue May 27 00:10:51 2025 error -1 reading relation 330093515
- Tue May 27 00:11:00 2025 error -1 reading relation 334110381
- Tue May 27 00:11:09 2025 error -1 reading relation 337835919
- Tue May 27 00:11:09 2025 error -1 reading relation 338014640
- Tue May 27 00:11:28 2025 error -1 reading relation 346267668
- Tue May 27 00:11:29 2025 error -1 reading relation 346647818
- Tue May 27 00:11:29 2025 error -1 reading relation 346732356
- Tue May 27 00:11:34 2025 error -1 reading relation 348671936
- Tue May 27 00:11:38 2025 error -1 reading relation 350531983
- Tue May 27 00:11:39 2025 error -1 reading relation 350803834
- Tue May 27 00:11:44 2025 error -1 reading relation 353002406
- Tue May 27 00:11:46 2025 error -15 reading relation 354179139
- Tue May 27 00:11:51 2025 error -1 reading relation 355626304
- Tue May 27 00:11:53 2025 error -1 reading relation 356715356
- Tue May 27 00:11:57 2025 error -1 reading relation 358226750
- Tue May 27 00:12:00 2025 error -1 reading relation 359636976
- Tue May 27 00:12:06 2025 error -1 reading relation 362170218
- Tue May 27 00:12:06 2025 error -1 reading relation 362566897
- Tue May 27 00:12:21 2025 error -1 reading relation 368574389
- Tue May 27 00:12:21 2025 error -1 reading relation 368583486
- Tue May 27 00:12:21 2025 error -1 reading relation 368584591
- Tue May 27 00:12:25 2025 skipped 382 malformed relations
- Tue May 27 00:12:25 2025 found 79758529 hash collisions in 370313177 relations
- Tue May 27 00:12:53 2025 commencing duplicate removal, pass 2
- Tue May 27 00:21:13 2025 found 84499885 duplicates and 285813292 unique relations
- Tue May 27 00:21:13 2025 memory use: 2643.0 MB
- Tue May 27 00:21:13 2025 reading ideals above 720000
- Tue May 27 00:21:13 2025 commencing singleton removal, initial pass
- Tue May 27 00:48:04 2025 memory use: 6024.0 MB
- Tue May 27 00:48:04 2025 reading all ideals from disk
- Tue May 27 00:48:11 2025 memory use: 13742.1 MB
- Tue May 27 00:48:47 2025 keeping 295794512 ideals with weight <= 200, target excess is 1465969
- Tue May 27 00:49:33 2025 commencing in-memory singleton removal
- Tue May 27 00:49:40 2025 begin with 285813292 relations and 295794512 unique ideals
- Tue May 27 00:50:15 2025 reduce to 135314705 relations and 124480630 ideals in 24 passes
- Tue May 27 00:50:15 2025 max relations containing the same ideal: 130
- Tue May 27 00:51:40 2025 removing 9810474 relations and 8810474 ideals in 1000000 cliques
- Tue May 27 00:51:47 2025 commencing in-memory singleton removal
- Tue May 27 00:51:51 2025 begin with 125504231 relations and 124480630 unique ideals
- Tue May 27 00:52:03 2025 reduce to 124897041 relations and 115056430 ideals in 11 passes
- Tue May 27 00:52:03 2025 max relations containing the same ideal: 122
- Tue May 27 00:53:26 2025 removing 7277610 relations and 6277610 ideals in 1000000 cliques
- Tue May 27 00:53:33 2025 commencing in-memory singleton removal
- Tue May 27 00:53:35 2025 begin with 117619431 relations and 115056430 unique ideals
- Tue May 27 00:53:46 2025 reduce to 117244753 relations and 108400709 ideals in 10 passes
- Tue May 27 00:53:46 2025 max relations containing the same ideal: 116
- Tue May 27 00:54:59 2025 removing 6498422 relations and 5498422 ideals in 1000000 cliques
- Tue May 27 00:55:05 2025 commencing in-memory singleton removal
- Tue May 27 00:55:08 2025 begin with 110746331 relations and 108400709 unique ideals
- Tue May 27 00:55:18 2025 reduce to 110426586 relations and 102579728 ideals in 10 passes
- Tue May 27 00:55:18 2025 max relations containing the same ideal: 109
- Tue May 27 00:56:37 2025 removing 6083240 relations and 5083240 ideals in 1000000 cliques
- Tue May 27 00:56:41 2025 commencing in-memory singleton removal
- Tue May 27 00:56:44 2025 begin with 104343346 relations and 102579728 unique ideals
- Tue May 27 00:56:52 2025 reduce to 104042277 relations and 97192710 ideals in 8 passes
- Tue May 27 00:56:52 2025 max relations containing the same ideal: 105
- Tue May 27 00:58:07 2025 removing 5823905 relations and 4823905 ideals in 1000000 cliques
- Tue May 27 00:58:12 2025 commencing in-memory singleton removal
- Tue May 27 00:58:14 2025 begin with 98218372 relations and 97192710 unique ideals
- Tue May 27 00:58:22 2025 reduce to 97925245 relations and 92072997 ideals in 9 passes
- Tue May 27 00:58:22 2025 max relations containing the same ideal: 102
- Tue May 27 00:59:31 2025 removing 5653068 relations and 4653068 ideals in 1000000 cliques
- Tue May 27 00:59:35 2025 commencing in-memory singleton removal
- Tue May 27 00:59:37 2025 begin with 92272177 relations and 92072997 unique ideals
- Tue May 27 00:59:43 2025 reduce to 91976506 relations and 87121432 ideals in 8 passes
- Tue May 27 00:59:43 2025 max relations containing the same ideal: 99
- Tue May 27 01:00:41 2025 removing 5548419 relations and 4548419 ideals in 1000000 cliques
- Tue May 27 01:00:45 2025 commencing in-memory singleton removal
- Tue May 27 01:00:47 2025 begin with 86428087 relations and 87121432 unique ideals
- Tue May 27 01:00:54 2025 reduce to 86123867 relations and 82265868 ideals in 9 passes
- Tue May 27 01:00:54 2025 max relations containing the same ideal: 95
- Tue May 27 01:01:41 2025 removing 5481659 relations and 4481659 ideals in 1000000 cliques
- Tue May 27 01:01:45 2025 commencing in-memory singleton removal
- Tue May 27 01:01:47 2025 begin with 80642208 relations and 82265868 unique ideals
- Tue May 27 01:01:53 2025 reduce to 80321304 relations and 77459958 ideals in 9 passes
- Tue May 27 01:01:53 2025 max relations containing the same ideal: 93
- Tue May 27 01:02:50 2025 removing 5455513 relations and 4455513 ideals in 1000000 cliques
- Tue May 27 01:02:54 2025 commencing in-memory singleton removal
- Tue May 27 01:02:56 2025 begin with 74865791 relations and 77459958 unique ideals
- Tue May 27 01:03:01 2025 reduce to 74521462 relations and 72656293 ideals in 8 passes
- Tue May 27 01:03:01 2025 max relations containing the same ideal: 88
- Tue May 27 01:03:46 2025 removing 1261132 relations and 1096488 ideals in 164644 cliques
- Tue May 27 01:03:48 2025 commencing in-memory singleton removal
- Tue May 27 01:03:50 2025 begin with 73260330 relations and 72656293 unique ideals
- Tue May 27 01:03:55 2025 reduce to 73242887 relations and 71542313 ideals in 7 passes
- Tue May 27 01:03:55 2025 max relations containing the same ideal: 88
- Tue May 27 01:04:07 2025 relations with 0 large ideals: 5030
- Tue May 27 01:04:07 2025 relations with 1 large ideals: 33526
- Tue May 27 01:04:07 2025 relations with 2 large ideals: 454776
- Tue May 27 01:04:07 2025 relations with 3 large ideals: 2746534
- Tue May 27 01:04:07 2025 relations with 4 large ideals: 9012616
- Tue May 27 01:04:07 2025 relations with 5 large ideals: 17544690
- Tue May 27 01:04:07 2025 relations with 6 large ideals: 20808510
- Tue May 27 01:04:07 2025 relations with 7+ large ideals: 22637205
- Tue May 27 01:04:07 2025 commencing 2-way merge
- Tue May 27 01:05:24 2025 reduce to 43677111 relation sets and 41976537 unique ideals
- Tue May 27 01:05:25 2025 commencing full merge
- Tue May 27 01:24:54 2025 memory use: 4399.6 MB
- Tue May 27 01:24:59 2025 found 18683427 cycles, need 18600737
- Tue May 27 01:25:06 2025 weight of 18600737 cycles is about 2232234022 (120.01/cycle)
- Tue May 27 01:25:06 2025 distribution of cycle lengths:
- Tue May 27 01:25:06 2025 1 relations: 1452822
- Tue May 27 01:25:06 2025 2 relations: 1372931
- Tue May 27 01:25:06 2025 3 relations: 1438445
- Tue May 27 01:25:06 2025 4 relations: 1386692
- Tue May 27 01:25:06 2025 5 relations: 1336729
- Tue May 27 01:25:06 2025 6 relations: 1270453
- Tue May 27 01:25:06 2025 7 relations: 1198764
- Tue May 27 01:25:06 2025 8 relations: 1114430
- Tue May 27 01:25:06 2025 9 relations: 1021516
- Tue May 27 01:25:06 2025 10+ relations: 7007955
- Tue May 27 01:25:06 2025 heaviest cycle: 28 relations
- Tue May 27 01:25:12 2025 commencing cycle optimization
- Tue May 27 01:26:21 2025 start with 158664557 relations
- Tue May 27 01:35:10 2025 pruned 5143442 relations
- Tue May 27 01:35:10 2025 memory use: 4597.3 MB
- Tue May 27 01:35:10 2025 distribution of cycle lengths:
- Tue May 27 01:35:10 2025 1 relations: 1452822
- Tue May 27 01:35:10 2025 2 relations: 1408872
- Tue May 27 01:35:10 2025 3 relations: 1493449
- Tue May 27 01:35:10 2025 4 relations: 1431177
- Tue May 27 01:35:10 2025 5 relations: 1384782
- Tue May 27 01:35:10 2025 6 relations: 1307210
- Tue May 27 01:35:10 2025 7 relations: 1233714
- Tue May 27 01:35:10 2025 8 relations: 1138652
- Tue May 27 01:35:10 2025 9 relations: 1042480
- Tue May 27 01:35:10 2025 10+ relations: 6707579
- Tue May 27 01:35:11 2025 heaviest cycle: 28 relations
- Tue May 27 01:35:52 2025 RelProcTime: 5872
- Tue May 27 01:35:58 2025
- Tue May 27 01:35:58 2025 commencing linear algebra
- Tue May 27 01:35:58 2025 using VBITS=256
- Tue May 27 01:35:58 2025 stopping after matrix build
- Tue May 27 01:35:58 2025 initialized process (0,0) of 1 x 1 grid
- Tue May 27 01:35:58 2025 reversing signs of algebraic polynomial
- Tue May 27 01:36:00 2025 read 18600737 cycles
- Tue May 27 01:36:43 2025 cycles contain 71981131 unique relations
- Tue May 27 01:43:02 2025 read 71981131 relations
- Tue May 27 01:43:14 2025 using 20 quadratic characters above 4294917295
- Tue May 27 01:43:25 2025 building initial matrix
- Tue May 27 02:00:38 2025 memory use: 9808.2 MB
- Tue May 27 02:00:55 2025 read 18600737 cycles
- Tue May 27 02:00:58 2025 matrix is 18600559 x 18600737 (8864.4 MB) with weight 2712544483 (145.83/col)
- Tue May 27 02:00:58 2025 sparse part has weight 2100548031 (112.93/col)
- Tue May 27 02:07:00 2025 filtering completed in 2 passes
- Tue May 27 02:07:06 2025 matrix is 18596973 x 18597151 (8864.1 MB) with weight 2712372156 (145.85/col)
- Tue May 27 02:07:06 2025 sparse part has weight 2100504184 (112.95/col)
- Tue May 27 02:09:06 2025 BLanczosTime: 1988
- Tue May 27 02:09:06 2025 elapsed time 02:11:07
- Tue May 27 04:23:28 2025
- Tue May 27 04:23:28 2025
- Tue May 27 04:23:28 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Tue May 27 04:23:28 2025 random seeds: b46b6882 09dc104b
- Tue May 27 04:23:28 2025 Using 96 OpenMP threads
- Tue May 27 04:23:28 2025 factoring 6896141933727257436344172549868336130146879467514050817040056329177321639796938705617556619175320944014735945012892932107504484456817343583150769327033865783259198599726158557657 (178 digits)
- Tue May 27 04:23:29 2025 searching for 15-digit factors
- Tue May 27 04:23:29 2025 commencing number field sieve (178-digit input)
- Tue May 27 04:23:29 2025 reversing signs of algebraic polynomial
- Tue May 27 04:23:29 2025 R0: -37413145276347277033306193209653296
- Tue May 27 04:23:29 2025 R1: 31619460962767412105355569
- Tue May 27 04:23:29 2025 A0: -103659811851809934929680068273130658090922750
- Tue May 27 04:23:29 2025 A1: 48819635419806791407517630881641985935
- Tue May 27 04:23:29 2025 A2: -1488536621671066977382515445368
- Tue May 27 04:23:29 2025 A3: -8436275264061869841583
- Tue May 27 04:23:29 2025 A4: 33999168779646
- Tue May 27 04:23:29 2025 A5: 166320
- Tue May 27 04:23:29 2025 skew 117206420.91, size 2.463e-17, alpha -8.831, combined = 1.211e-13 rroots = 5
- Tue May 27 04:23:29 2025
- Tue May 27 04:23:29 2025 commencing linear algebra
- Tue May 27 04:23:29 2025 using VBITS=256
- Tue May 27 04:23:29 2025 skipping matrix build
- Tue May 27 04:23:34 2025 matrix starts at (0, 0)
- Tue May 27 04:23:36 2025 matrix is 18596973 x 18597151 (8864.1 MB) with weight 2712372156 (145.85/col)
- Tue May 27 04:23:36 2025 sparse part has weight 2100504184 (112.95/col)
- Tue May 27 04:23:36 2025 saving the first 240 matrix rows for later
- Tue May 27 04:23:40 2025 matrix includes 256 packed rows
- Tue May 27 04:23:46 2025 matrix is 18596733 x 18597151 (8030.2 MB) with weight 1924117928 (103.46/col)
- Tue May 27 04:23:46 2025 sparse part has weight 1807507444 (97.19/col)
- Tue May 27 04:23:46 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Tue May 27 04:24:25 2025 commencing Lanczos iteration (96 threads)
- Tue May 27 04:24:25 2025 memory use: 11054.1 MB
- Tue May 27 04:26:52 2025 linear algebra at 0.2%, ETA 24h15m
- Tue May 27 04:30:16 2025 checking every 10000 dimensions, checkpointing every 800000 dimensions
- Wed May 28 03:08:07 2025 lanczos halted after 72860 iterations (dim = 18596733)
- Wed May 28 03:09:09 2025 recovered 27 nontrivial dependencies
- Wed May 28 03:09:11 2025 BLanczosTime: 81942
- Wed May 28 03:09:11 2025
- Wed May 28 03:09:11 2025 commencing square root phase
- Wed May 28 03:09:11 2025 reversing signs of algebraic polynomial
- Wed May 28 03:09:11 2025 handling dependencies 1 to 64
- Wed May 28 03:09:11 2025 reading relations for dependency 1
- Wed May 28 03:09:12 2025 read 9295757 cycles
- Wed May 28 03:09:30 2025 cycles contain 35985506 unique relations
- Wed May 28 03:14:18 2025 read 35985506 relations
- Wed May 28 03:16:57 2025 multiplying 35985506 relations
- Wed May 28 03:38:15 2025 multiply complete, coefficients have about 2042.07 million bits
- Wed May 28 03:38:23 2025 initial square root is modulo 1445979937
- Wed May 28 03:56:18 2025 GCD is 1, no factor found
- Wed May 28 03:56:18 2025 reading relations for dependency 2
- Wed May 28 03:56:20 2025 read 9298261 cycles
- Wed May 28 03:56:41 2025 cycles contain 35989844 unique relations
- Wed May 28 04:02:34 2025 read 35989844 relations
- Wed May 28 04:05:30 2025 multiplying 35989844 relations
- Wed May 28 04:25:17 2025 multiply complete, coefficients have about 2042.32 million bits
- Wed May 28 04:25:25 2025 initial square root is modulo 1449618553
- Wed May 28 04:42:19 2025 sqrtTime: 5588
- Wed May 28 04:42:19 2025 p86 factor: 24385708852915298450167731141004209949220535338434155387623422105004039836198570284397
- Wed May 28 04:42:19 2025 p93 factor: 282794401234017331290762552883290717847964361803000335125500320004838689535887471424078759581
- Wed May 28 04:42:19 2025 elapsed time 24:18:51
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