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- Wed Feb 9 06:52:32 2022
- Wed Feb 9 06:52:32 2022
- Wed Feb 9 06:52:32 2022 Msieve v. 1.54 (SVN unknown)
- Wed Feb 9 06:52:32 2022 random seeds: 6823832c 136bb4fd
- Wed Feb 9 06:52:32 2022 factoring 3177352703538310278287172483808193635873798375874511258732436671612656369491405159648534732973094231012093700450324932279009289812652082663975859535310014415294377332409919 (172 digits)
- Wed Feb 9 06:52:33 2022 searching for 15-digit factors
- Wed Feb 9 06:52:33 2022 commencing number field sieve (172-digit input)
- Wed Feb 9 06:52:33 2022 R0: 645053789743325031032852254296596920561
- Wed Feb 9 06:52:33 2022 R1: -1
- Wed Feb 9 06:52:33 2022 A0: 1
- Wed Feb 9 06:52:33 2022 A1: 1
- Wed Feb 9 06:52:33 2022 A2: 1
- Wed Feb 9 06:52:33 2022 A3: 1
- Wed Feb 9 06:52:33 2022 A4: 1
- Wed Feb 9 06:52:33 2022 A5: 1
- Wed Feb 9 06:52:33 2022 A6: 1
- Wed Feb 9 06:52:33 2022 skew 1.00, size 1.587e-11, alpha 2.428, combined = 8.932e-13 rroots = 0
- Wed Feb 9 06:52:33 2022
- Wed Feb 9 06:52:33 2022 commencing relation filtering
- Wed Feb 9 06:52:33 2022 setting target matrix density to 120.0
- Wed Feb 9 06:52:33 2022 estimated available RAM is 16384.0 MB
- Wed Feb 9 06:52:33 2022 commencing duplicate removal, pass 1
- Wed Feb 9 06:58:57 2022 skipped 18 relations with b > 2^32
- Wed Feb 9 06:58:57 2022 skipped 1 relations with composite factors
- Wed Feb 9 06:58:57 2022 found 2483094 hash collisions in 104914567 relations
- Wed Feb 9 06:59:02 2022 added 2438534 free relations
- Wed Feb 9 06:59:02 2022 commencing duplicate removal, pass 2
- Wed Feb 9 06:59:19 2022 found 0 duplicates and 104916355 unique relations
- Wed Feb 9 06:59:19 2022 memory use: 322.6 MB
- Wed Feb 9 06:59:19 2022 reading ideals above 72941568
- Wed Feb 9 06:59:19 2022 commencing singleton removal, initial pass
- Wed Feb 9 07:04:19 2022 memory use: 2756.0 MB
- Wed Feb 9 07:04:19 2022 reading all ideals from disk
- Wed Feb 9 07:04:20 2022 memory use: 1911.6 MB
- Wed Feb 9 07:04:21 2022 commencing in-memory singleton removal
- Wed Feb 9 07:04:23 2022 begin with 104914567 relations and 84494152 unique ideals
- Wed Feb 9 07:04:41 2022 reduce to 72238674 relations and 48849376 ideals in 13 passes
- Wed Feb 9 07:04:41 2022 max relations containing the same ideal: 44
- Wed Feb 9 07:04:44 2022 reading ideals above 720000
- Wed Feb 9 07:04:44 2022 commencing singleton removal, initial pass
- Wed Feb 9 07:09:06 2022 memory use: 1506.0 MB
- Wed Feb 9 07:09:06 2022 reading all ideals from disk
- Wed Feb 9 07:09:07 2022 memory use: 2741.4 MB
- Wed Feb 9 07:09:10 2022 keeping 57024445 ideals with weight <= 200, target excess is 385962
- Wed Feb 9 07:09:13 2022 commencing in-memory singleton removal
- Wed Feb 9 07:09:16 2022 begin with 72238674 relations and 57024445 unique ideals
- Wed Feb 9 07:09:32 2022 reduce to 72237730 relations and 57023501 ideals in 7 passes
- Wed Feb 9 07:09:32 2022 max relations containing the same ideal: 200
- Wed Feb 9 07:09:46 2022 removing 8577768 relations and 6577768 ideals in 2000000 cliques
- Wed Feb 9 07:09:48 2022 commencing in-memory singleton removal
- Wed Feb 9 07:09:50 2022 begin with 63659962 relations and 57023501 unique ideals
- Wed Feb 9 07:10:07 2022 reduce to 62885644 relations and 49645840 ideals in 8 passes
- Wed Feb 9 07:10:07 2022 max relations containing the same ideal: 192
- Wed Feb 9 07:10:19 2022 removing 6770245 relations and 4770245 ideals in 2000000 cliques
- Wed Feb 9 07:10:20 2022 commencing in-memory singleton removal
- Wed Feb 9 07:10:22 2022 begin with 56115399 relations and 49645840 unique ideals
- Wed Feb 9 07:10:37 2022 reduce to 55571039 relations and 44314301 ideals in 8 passes
- Wed Feb 9 07:10:37 2022 max relations containing the same ideal: 176
- Wed Feb 9 07:10:48 2022 removing 6282681 relations and 4282681 ideals in 2000000 cliques
- Wed Feb 9 07:10:49 2022 commencing in-memory singleton removal
- Wed Feb 9 07:10:51 2022 begin with 49288358 relations and 44314301 unique ideals
- Wed Feb 9 07:11:02 2022 reduce to 48795375 relations and 39522489 ideals in 7 passes
- Wed Feb 9 07:11:02 2022 max relations containing the same ideal: 163
- Wed Feb 9 07:11:12 2022 removing 6035450 relations and 4035450 ideals in 2000000 cliques
- Wed Feb 9 07:11:13 2022 commencing in-memory singleton removal
- Wed Feb 9 07:11:14 2022 begin with 42759925 relations and 39522489 unique ideals
- Wed Feb 9 07:11:24 2022 reduce to 42274179 relations and 34983736 ideals in 7 passes
- Wed Feb 9 07:11:24 2022 max relations containing the same ideal: 150
- Wed Feb 9 07:11:32 2022 removing 5882233 relations and 3882233 ideals in 2000000 cliques
- Wed Feb 9 07:11:33 2022 commencing in-memory singleton removal
- Wed Feb 9 07:11:35 2022 begin with 36391946 relations and 34983736 unique ideals
- Wed Feb 9 07:11:43 2022 reduce to 35891188 relations and 30580828 ideals in 7 passes
- Wed Feb 9 07:11:43 2022 max relations containing the same ideal: 136
- Wed Feb 9 07:11:50 2022 removing 5769825 relations and 3769825 ideals in 2000000 cliques
- Wed Feb 9 07:11:51 2022 commencing in-memory singleton removal
- Wed Feb 9 07:11:52 2022 begin with 30121363 relations and 30580828 unique ideals
- Wed Feb 9 07:11:59 2022 reduce to 29579972 relations and 26244325 ideals in 7 passes
- Wed Feb 9 07:11:59 2022 max relations containing the same ideal: 118
- Wed Feb 9 07:12:05 2022 removing 5684899 relations and 3684899 ideals in 2000000 cliques
- Wed Feb 9 07:12:06 2022 commencing in-memory singleton removal
- Wed Feb 9 07:12:07 2022 begin with 23895073 relations and 26244325 unique ideals
- Wed Feb 9 07:12:12 2022 reduce to 23264639 relations and 21893618 ideals in 7 passes
- Wed Feb 9 07:12:12 2022 max relations containing the same ideal: 102
- Wed Feb 9 07:12:17 2022 removing 2999734 relations and 2076429 ideals in 923305 cliques
- Wed Feb 9 07:12:17 2022 commencing in-memory singleton removal
- Wed Feb 9 07:12:18 2022 begin with 20264905 relations and 21893618 unique ideals
- Wed Feb 9 07:12:23 2022 reduce to 20004372 relations and 19547260 ideals in 8 passes
- Wed Feb 9 07:12:23 2022 max relations containing the same ideal: 89
- Wed Feb 9 07:12:27 2022 removing 60029 relations and 50633 ideals in 9396 cliques
- Wed Feb 9 07:12:27 2022 commencing in-memory singleton removal
- Wed Feb 9 07:12:28 2022 begin with 19944343 relations and 19547260 unique ideals
- Wed Feb 9 07:12:30 2022 reduce to 19944248 relations and 19496532 ideals in 4 passes
- Wed Feb 9 07:12:30 2022 max relations containing the same ideal: 89
- Wed Feb 9 07:12:32 2022 relations with 0 large ideals: 0
- Wed Feb 9 07:12:32 2022 relations with 1 large ideals: 3302
- Wed Feb 9 07:12:32 2022 relations with 2 large ideals: 58855
- Wed Feb 9 07:12:32 2022 relations with 3 large ideals: 425195
- Wed Feb 9 07:12:32 2022 relations with 4 large ideals: 1637044
- Wed Feb 9 07:12:32 2022 relations with 5 large ideals: 3741723
- Wed Feb 9 07:12:32 2022 relations with 6 large ideals: 5335593
- Wed Feb 9 07:12:32 2022 relations with 7+ large ideals: 8742536
- Wed Feb 9 07:12:32 2022 commencing 2-way merge
- Wed Feb 9 07:12:38 2022 reduce to 13621050 relation sets and 13173334 unique ideals
- Wed Feb 9 07:12:38 2022 commencing full merge
- Wed Feb 9 07:15:01 2022 memory use: 1675.0 MB
- Wed Feb 9 07:15:03 2022 found 6154543 cycles, need 6119534
- Wed Feb 9 07:15:03 2022 weight of 6119534 cycles is about 735111635 (120.13/cycle)
- Wed Feb 9 07:15:03 2022 distribution of cycle lengths:
- Wed Feb 9 07:15:03 2022 1 relations: 152048
- Wed Feb 9 07:15:03 2022 2 relations: 326380
- Wed Feb 9 07:15:03 2022 3 relations: 426393
- Wed Feb 9 07:15:03 2022 4 relations: 466903
- Wed Feb 9 07:15:03 2022 5 relations: 498347
- Wed Feb 9 07:15:03 2022 6 relations: 501545
- Wed Feb 9 07:15:03 2022 7 relations: 497025
- Wed Feb 9 07:15:03 2022 8 relations: 471853
- Wed Feb 9 07:15:03 2022 9 relations: 437044
- Wed Feb 9 07:15:03 2022 10+ relations: 2341996
- Wed Feb 9 07:15:03 2022 heaviest cycle: 27 relations
- Wed Feb 9 07:15:03 2022 commencing cycle optimization
- Wed Feb 9 07:15:09 2022 start with 53166541 relations
- Wed Feb 9 07:16:17 2022 pruned 2746926 relations
- Wed Feb 9 07:16:17 2022 memory use: 1381.4 MB
- Wed Feb 9 07:16:17 2022 distribution of cycle lengths:
- Wed Feb 9 07:16:17 2022 1 relations: 152048
- Wed Feb 9 07:16:17 2022 2 relations: 336766
- Wed Feb 9 07:16:17 2022 3 relations: 448305
- Wed Feb 9 07:16:17 2022 4 relations: 491027
- Wed Feb 9 07:16:17 2022 5 relations: 529144
- Wed Feb 9 07:16:17 2022 6 relations: 531859
- Wed Feb 9 07:16:17 2022 7 relations: 528868
- Wed Feb 9 07:16:17 2022 8 relations: 497379
- Wed Feb 9 07:16:17 2022 9 relations: 458838
- Wed Feb 9 07:16:17 2022 10+ relations: 2145300
- Wed Feb 9 07:16:17 2022 heaviest cycle: 27 relations
- Wed Feb 9 07:16:20 2022 RelProcTime: 1427
- Wed Feb 9 07:16:20 2022
- Wed Feb 9 07:16:20 2022 commencing linear algebra
- Wed Feb 9 07:16:20 2022 read 6119534 cycles
- Wed Feb 9 07:16:26 2022 cycles contain 19732224 unique relations
- Wed Feb 9 07:17:12 2022 read 19732224 relations
- Wed Feb 9 07:17:38 2022 using 20 quadratic characters above 4294917295
- Wed Feb 9 07:18:24 2022 building initial matrix
- Wed Feb 9 07:20:45 2022 memory use: 2489.2 MB
- Wed Feb 9 07:20:47 2022 read 6119534 cycles
- Wed Feb 9 07:20:48 2022 matrix is 6119357 x 6119534 (2842.4 MB) with weight 807993927 (132.04/col)
- Wed Feb 9 07:20:48 2022 sparse part has weight 677800739 (110.76/col)
- Wed Feb 9 07:21:22 2022 filtering completed in 2 passes
- Wed Feb 9 07:21:23 2022 matrix is 6119274 x 6119451 (2842.4 MB) with weight 807991329 (132.04/col)
- Wed Feb 9 07:21:23 2022 sparse part has weight 677799879 (110.76/col)
- Wed Feb 9 07:21:31 2022 matrix starts at (0, 0)
- Wed Feb 9 07:21:32 2022 matrix is 6119274 x 6119451 (2842.4 MB) with weight 807991329 (132.04/col)
- Wed Feb 9 07:21:32 2022 sparse part has weight 677799879 (110.76/col)
- Wed Feb 9 07:21:32 2022 saving the first 48 matrix rows for later
- Wed Feb 9 07:21:32 2022 matrix includes 64 packed rows
- Wed Feb 9 07:21:33 2022 matrix is 6119226 x 6119451 (2715.3 MB) with weight 695783913 (113.70/col)
- Wed Feb 9 07:21:33 2022 sparse part has weight 650617898 (106.32/col)
- Wed Feb 9 07:21:33 2022 using block size 8192 and superblock size 777216 for processor cache size 8096 kB
- Wed Feb 9 07:21:49 2022 commencing Lanczos iteration
- Wed Feb 9 07:21:49 2022 memory use: 2573.0 MB
- Wed Feb 9 07:22:22 2022 linear algebra at 0.0%, ETA 34h51m
- Wed Feb 9 07:22:32 2022 checkpointing every 180000 dimensions
- Wed Feb 9 07:48:56 2022 lanczos halted after 1239 iterations (dim = 78324)
- Wed Feb 9 07:48:56 2022 BLanczosTime: 1956
- Wed Feb 9 07:48:56 2022
- Wed Feb 9 07:48:56 2022 commencing square root phase
- Wed Feb 9 07:48:56 2022 handling dependencies 1 to 64
- Wed Feb 9 07:48:56 2022 reading relations for dependency 1
- Wed Feb 9 07:48:56 2022 error: read_cycles can't open dependency file
- Wed Feb 9 07:49:12 2022
- Wed Feb 9 07:49:12 2022
- Wed Feb 9 07:49:12 2022 Msieve v. 1.54 (SVN unknown)
- Wed Feb 9 07:49:12 2022 random seeds: 8de756bd 5b6c35a4
- Wed Feb 9 07:49:12 2022 factoring 3177352703538310278287172483808193635873798375874511258732436671612656369491405159648534732973094231012093700450324932279009289812652082663975859535310014415294377332409919 (172 digits)
- Wed Feb 9 07:49:13 2022 searching for 15-digit factors
- Wed Feb 9 07:49:13 2022 commencing number field sieve (172-digit input)
- Wed Feb 9 07:49:13 2022 R0: 645053789743325031032852254296596920561
- Wed Feb 9 07:49:13 2022 R1: -1
- Wed Feb 9 07:49:13 2022 A0: 1
- Wed Feb 9 07:49:13 2022 A1: 1
- Wed Feb 9 07:49:13 2022 A2: 1
- Wed Feb 9 07:49:13 2022 A3: 1
- Wed Feb 9 07:49:13 2022 A4: 1
- Wed Feb 9 07:49:13 2022 A5: 1
- Wed Feb 9 07:49:13 2022 A6: 1
- Wed Feb 9 07:49:13 2022 skew 1.00, size 1.587e-11, alpha 2.428, combined = 8.932e-13 rroots = 0
- Wed Feb 9 07:49:13 2022
- Wed Feb 9 07:49:13 2022 commencing linear algebra
- Wed Feb 9 07:49:14 2022 matrix starts at (0, 0)
- Wed Feb 9 07:49:14 2022 matrix is 6119274 x 6119451 (2842.4 MB) with weight 807991329 (132.04/col)
- Wed Feb 9 07:49:14 2022 sparse part has weight 677799879 (110.76/col)
- Wed Feb 9 07:49:14 2022 saving the first 48 matrix rows for later
- Wed Feb 9 07:49:15 2022 matrix includes 64 packed rows
- Wed Feb 9 07:49:15 2022 matrix is 6119226 x 6119451 (2715.3 MB) with weight 695783913 (113.70/col)
- Wed Feb 9 07:49:15 2022 sparse part has weight 650617898 (106.32/col)
- Wed Feb 9 07:49:15 2022 using block size 8192 and superblock size 777216 for processor cache size 8096 kB
- Wed Feb 9 07:49:31 2022 commencing Lanczos iteration (4 threads)
- Wed Feb 9 07:49:31 2022 memory use: 2573.0 MB
- Wed Feb 9 07:49:32 2022 restarting at iteration 1239 (dim = 78324)
- Wed Feb 9 07:49:42 2022 linear algebra at 1.3%, ETA 11h 2m
- Wed Feb 9 07:49:44 2022 checkpointing every 520000 dimensions
- Wed Feb 9 09:10:46 2022 lanczos halted after 10544 iterations (dim = 666755)
- Wed Feb 9 09:10:46 2022 BLanczosTime: 4893
- Wed Feb 9 09:10:46 2022
- Wed Feb 9 09:10:46 2022 commencing square root phase
- Wed Feb 9 09:10:46 2022 reading relations for dependency 1
- Wed Feb 9 09:10:46 2022 error: read_cycles can't open dependency file
- Wed Feb 9 17:03:55 2022
- Wed Feb 9 17:03:55 2022
- Wed Feb 9 17:03:55 2022 Msieve v. 1.54 (SVN unknown)
- Wed Feb 9 17:03:55 2022 random seeds: 6d70bcd9 a3668fd3
- Wed Feb 9 17:03:55 2022 factoring 3177352703538310278287172483808193635873798375874511258732436671612656369491405159648534732973094231012093700450324932279009289812652082663975859535310014415294377332409919 (172 digits)
- Wed Feb 9 17:03:56 2022 searching for 15-digit factors
- Wed Feb 9 17:03:56 2022 commencing number field sieve (172-digit input)
- Wed Feb 9 17:03:56 2022 R0: 645053789743325031032852254296596920561
- Wed Feb 9 17:03:56 2022 R1: -1
- Wed Feb 9 17:03:56 2022 A0: 1
- Wed Feb 9 17:03:56 2022 A1: 1
- Wed Feb 9 17:03:56 2022 A2: 1
- Wed Feb 9 17:03:56 2022 A3: 1
- Wed Feb 9 17:03:56 2022 A4: 1
- Wed Feb 9 17:03:56 2022 A5: 1
- Wed Feb 9 17:03:56 2022 A6: 1
- Wed Feb 9 17:03:56 2022 skew 1.00, size 1.587e-11, alpha 2.428, combined = 8.932e-13 rroots = 0
- Wed Feb 9 17:03:56 2022
- Wed Feb 9 17:03:56 2022 commencing linear algebra
- Wed Feb 9 17:03:56 2022 skipping matrix build
- Wed Feb 9 17:03:57 2022 matrix starts at (0, 0)
- Wed Feb 9 17:03:57 2022 matrix is 6119274 x 6119451 (2842.4 MB) with weight 807991329 (132.04/col)
- Wed Feb 9 17:03:57 2022 sparse part has weight 677799879 (110.76/col)
- Wed Feb 9 17:03:57 2022 saving the first 48 matrix rows for later
- Wed Feb 9 17:03:57 2022 matrix includes 64 packed rows
- Wed Feb 9 17:03:58 2022 matrix is 6119226 x 6119451 (2715.3 MB) with weight 695783913 (113.70/col)
- Wed Feb 9 17:03:58 2022 sparse part has weight 650617898 (106.32/col)
- Wed Feb 9 17:03:58 2022 using block size 8192 and superblock size 777216 for processor cache size 8096 kB
- Wed Feb 9 17:04:14 2022 commencing Lanczos iteration (4 threads)
- Wed Feb 9 17:04:14 2022 memory use: 2573.0 MB
- Wed Feb 9 17:04:14 2022 restarting at iteration 10544 (dim = 666755)
- Wed Feb 9 17:04:23 2022 checkpointing every 510000 dimensions
- Wed Feb 9 17:04:25 2022 linear algebra at 10.9%, ETA 10h59m
- Thu Feb 10 05:34:10 2022 lanczos halted after 96770 iterations (dim = 6119223)
- Thu Feb 10 05:34:15 2022 recovered 39 nontrivial dependencies
- Thu Feb 10 05:34:15 2022 BLanczosTime: 45019
- Thu Feb 10 05:34:15 2022
- Thu Feb 10 05:34:15 2022 commencing square root phase
- Thu Feb 10 05:34:15 2022 handling dependencies 1 to 64
- Thu Feb 10 05:34:15 2022 reading relations for dependency 1
- Thu Feb 10 05:34:16 2022 read 3059269 cycles
- Thu Feb 10 05:34:18 2022 cycles contain 9864942 unique relations
- Thu Feb 10 05:34:43 2022 read 9864942 relations
- Thu Feb 10 05:35:05 2022 multiplying 9864942 relations
- Thu Feb 10 05:37:50 2022 multiply complete, coefficients have about 242.44 million bits
- Thu Feb 10 05:37:51 2022 initial square root is modulo 501689711
- Thu Feb 10 05:41:03 2022 found factor: 52666675798248392048284757314407702418981602057371015070553
- Thu Feb 10 05:41:03 2022 reading relations for dependency 2
- Thu Feb 10 05:41:04 2022 read 3061333 cycles
- Thu Feb 10 05:41:07 2022 cycles contain 9867588 unique relations
- Thu Feb 10 05:41:32 2022 read 9867588 relations
- Thu Feb 10 05:41:53 2022 multiplying 9867588 relations
- Thu Feb 10 05:44:39 2022 multiply complete, coefficients have about 242.51 million bits
- Thu Feb 10 05:44:40 2022 initial square root is modulo 504709903
- Thu Feb 10 05:47:53 2022 sqrtTime: 818
- Thu Feb 10 05:47:53 2022 p53 factor: 44668808221461805092702003194686931406506966253214717
- Thu Feb 10 05:47:53 2022 p59 factor: 52666675798248392048284757314407702418981602057371015070553
- Thu Feb 10 05:47:53 2022 p61 factor: 1350595049535562366671697946246330167776338313170549527368419
- Thu Feb 10 05:47:53 2022 elapsed time 12:43:58
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