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- Fri Sep 11 19:41:32 2026
- Fri Sep 11 19:41:32 2026
- Fri Sep 11 19:41:32 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Fri Sep 11 19:41:32 2026 random seeds: 2505785c 02887797
- Fri Sep 11 19:41:32 2026 MPI process 0 of 1
- Fri Sep 11 19:41:32 2026 Using 32 OpenMP threads
- Fri Sep 11 19:41:32 2026 factoring 3921393400489950139628128597753417650396531304793743245836463163716299745329470493284187703042261292319417325921605156822704826984801973214321985471421764116004595724873 (169 digits)
- Fri Sep 11 19:41:33 2026 searching for 15-digit factors
- Fri Sep 11 19:41:33 2026 commencing number field sieve (169-digit input)
- Fri Sep 11 19:41:33 2026 R0: -163021700434011899445468708190804
- Fri Sep 11 19:41:33 2026 R1: 39990287965700961924155657
- Fri Sep 11 19:41:33 2026 A0: 75053682030612719680213823357934225391785
- Fri Sep 11 19:41:33 2026 A1: 24758644253353813761901236825915842
- Fri Sep 11 19:41:33 2026 A2: -6582002197513589083546325807
- Fri Sep 11 19:41:33 2026 A3: -535033825609639609164
- Fri Sep 11 19:41:33 2026 A4: 28685470390860
- Fri Sep 11 19:41:33 2026 A5: 55440
- Fri Sep 11 19:41:33 2026 skew 8386756.29, size 2.133e-16, alpha -8.070, combined = 4.511e-13 rroots = 5
- Fri Sep 11 19:41:33 2026
- Fri Sep 11 19:41:33 2026 commencing relation filtering
- Fri Sep 11 19:41:33 2026 setting target matrix density to 120.0
- Fri Sep 11 19:41:33 2026 estimated available RAM is 257736.5 MB
- Fri Sep 11 19:41:33 2026 commencing duplicate removal, pass 1
- Fri Sep 11 19:44:07 2026 error -1 reading relation 66703766
- Fri Sep 11 19:44:23 2026 error -1 reading relation 73932589
- Fri Sep 11 19:44:51 2026 error -1 reading relation 86162229
- Fri Sep 11 19:45:45 2026 error -1 reading relation 108715571
- Fri Sep 11 19:46:08 2026 error -1 reading relation 118788484
- Fri Sep 11 19:46:16 2026 error -1 reading relation 122118418
- Fri Sep 11 19:48:05 2026 error -1 reading relation 166438798
- Fri Sep 11 19:49:31 2026 error -1 reading relation 203125001
- Fri Sep 11 19:49:31 2026 error -1 reading relation 203125795
- Fri Sep 11 19:49:38 2026 error -1 reading relation 206375767
- Fri Sep 11 19:49:39 2026 error -1 reading relation 206474996
- Fri Sep 11 19:50:02 2026 error -1 reading relation 216618404
- Fri Sep 11 19:50:04 2026 error -1 reading relation 217306373
- Fri Sep 11 19:50:13 2026 error -1 reading relation 221399691
- Fri Sep 11 19:50:14 2026 error -1 reading relation 221522351
- Fri Sep 11 19:50:24 2026 error -1 reading relation 226458763
- Fri Sep 11 19:50:29 2026 error -1 reading relation 228356149
- Fri Sep 11 19:52:24 2026 error -1 reading relation 278695556
- Fri Sep 11 19:52:24 2026 error -1 reading relation 278773695
- Fri Sep 11 19:52:26 2026 error -1 reading relation 279861388
- Fri Sep 11 19:52:26 2026 error -1 reading relation 279865789
- Fri Sep 11 19:52:38 2026 error -1 reading relation 285123060
- Fri Sep 11 19:52:54 2026 error -1 reading relation 292029955
- Fri Sep 11 19:52:54 2026 error -1 reading relation 292063114
- Fri Sep 11 19:52:59 2026 error -1 reading relation 293891635
- Fri Sep 11 19:53:12 2026 error -1 reading relation 299382100
- Fri Sep 11 19:53:15 2026 error -1 reading relation 300369088
- Fri Sep 11 19:53:18 2026 error -1 reading relation 301660080
- Fri Sep 11 19:53:18 2026 error -1 reading relation 301696685
- Fri Sep 11 19:53:28 2026 error -1 reading relation 305873449
- Fri Sep 11 19:53:49 2026 skipped 226 malformed relations
- Fri Sep 11 19:53:49 2026 found 63331191 hash collisions in 315177064 relations
- Fri Sep 11 19:54:29 2026 added 122041 free relations
- Fri Sep 11 19:54:29 2026 commencing duplicate removal, pass 2
- Fri Sep 11 20:04:40 2026 found 67579369 duplicates and 247719736 unique relations
- Fri Sep 11 20:04:40 2026 memory use: 1705.5 MB
- Fri Sep 11 20:04:41 2026 reading ideals above 720000
- Fri Sep 11 20:04:41 2026 commencing singleton removal, initial pass
- Fri Sep 11 20:43:05 2026 memory use: 6024.0 MB
- Fri Sep 11 20:43:06 2026 reading all ideals from disk
- Fri Sep 11 20:43:14 2026 memory use: 11499.8 MB
- Fri Sep 11 20:44:23 2026 keeping 238671780 ideals with weight <= 200, target excess is 1192528
- Fri Sep 11 20:45:50 2026 commencing in-memory singleton removal
- Fri Sep 11 20:45:58 2026 begin with 247719736 relations and 238671780 unique ideals
- Fri Sep 11 20:46:27 2026 reduce to 139746045 relations and 117755925 ideals in 16 passes
- Fri Sep 11 20:46:27 2026 max relations containing the same ideal: 144
- Fri Sep 11 20:48:26 2026 removing 12939800 relations and 10939800 ideals in 2000000 cliques
- Fri Sep 11 20:48:37 2026 commencing in-memory singleton removal
- Fri Sep 11 20:48:40 2026 begin with 126806245 relations and 117755925 unique ideals
- Fri Sep 11 20:48:51 2026 reduce to 125848932 relations and 105840829 ideals in 9 passes
- Fri Sep 11 20:48:51 2026 max relations containing the same ideal: 139
- Fri Sep 11 20:50:46 2026 removing 9790433 relations and 7790433 ideals in 2000000 cliques
- Fri Sep 11 20:50:54 2026 commencing in-memory singleton removal
- Fri Sep 11 20:50:57 2026 begin with 116058499 relations and 105840829 unique ideals
- Fri Sep 11 20:51:07 2026 reduce to 115424290 relations and 97405705 ideals in 9 passes
- Fri Sep 11 20:51:07 2026 max relations containing the same ideal: 129
- Fri Sep 11 20:52:45 2026 removing 8840677 relations and 6840677 ideals in 2000000 cliques
- Fri Sep 11 20:52:52 2026 commencing in-memory singleton removal
- Fri Sep 11 20:52:55 2026 begin with 106583613 relations and 97405705 unique ideals
- Fri Sep 11 20:53:04 2026 reduce to 106017236 relations and 89989143 ideals in 8 passes
- Fri Sep 11 20:53:04 2026 max relations containing the same ideal: 124
- Fri Sep 11 20:54:41 2026 removing 8360639 relations and 6360639 ideals in 2000000 cliques
- Fri Sep 11 20:54:48 2026 commencing in-memory singleton removal
- Fri Sep 11 20:54:50 2026 begin with 97656597 relations and 89989143 unique ideals
- Fri Sep 11 20:54:58 2026 reduce to 97109830 relations and 83072098 ideals in 9 passes
- Fri Sep 11 20:54:58 2026 max relations containing the same ideal: 115
- Fri Sep 11 20:56:21 2026 removing 8078868 relations and 6078868 ideals in 2000000 cliques
- Fri Sep 11 20:56:27 2026 commencing in-memory singleton removal
- Fri Sep 11 20:56:29 2026 begin with 89030962 relations and 83072098 unique ideals
- Fri Sep 11 20:56:36 2026 reduce to 88477850 relations and 76429854 ideals in 8 passes
- Fri Sep 11 20:56:36 2026 max relations containing the same ideal: 111
- Fri Sep 11 20:57:56 2026 removing 7911900 relations and 5911900 ideals in 2000000 cliques
- Fri Sep 11 20:58:03 2026 commencing in-memory singleton removal
- Fri Sep 11 20:58:05 2026 begin with 80565950 relations and 76429854 unique ideals
- Fri Sep 11 20:58:11 2026 reduce to 79988178 relations and 69928640 ideals in 8 passes
- Fri Sep 11 20:58:11 2026 max relations containing the same ideal: 105
- Fri Sep 11 20:59:21 2026 removing 7821262 relations and 5821262 ideals in 2000000 cliques
- Fri Sep 11 20:59:27 2026 commencing in-memory singleton removal
- Fri Sep 11 20:59:28 2026 begin with 72166916 relations and 69928640 unique ideals
- Fri Sep 11 20:59:34 2026 reduce to 71543925 relations and 63470441 ideals in 8 passes
- Fri Sep 11 20:59:34 2026 max relations containing the same ideal: 92
- Fri Sep 11 21:00:38 2026 removing 7793549 relations and 5793549 ideals in 2000000 cliques
- Fri Sep 11 21:00:43 2026 commencing in-memory singleton removal
- Fri Sep 11 21:00:45 2026 begin with 63750376 relations and 63470441 unique ideals
- Fri Sep 11 21:00:49 2026 reduce to 63055700 relations and 56965437 ideals in 8 passes
- Fri Sep 11 21:00:49 2026 max relations containing the same ideal: 86
- Fri Sep 11 21:01:47 2026 removing 7828349 relations and 5828349 ideals in 2000000 cliques
- Fri Sep 11 21:01:52 2026 commencing in-memory singleton removal
- Fri Sep 11 21:01:53 2026 begin with 55227351 relations and 56965437 unique ideals
- Fri Sep 11 21:01:57 2026 reduce to 54422464 relations and 50309892 ideals in 8 passes
- Fri Sep 11 21:01:57 2026 max relations containing the same ideal: 79
- Fri Sep 11 21:02:44 2026 removing 7928208 relations and 5928208 ideals in 2000000 cliques
- Fri Sep 11 21:02:49 2026 commencing in-memory singleton removal
- Fri Sep 11 21:02:50 2026 begin with 46494256 relations and 50309892 unique ideals
- Fri Sep 11 21:02:54 2026 reduce to 45512248 relations and 43368220 ideals in 10 passes
- Fri Sep 11 21:02:54 2026 max relations containing the same ideal: 73
- Fri Sep 11 21:03:35 2026 removing 3872351 relations and 3111656 ideals in 760695 cliques
- Fri Sep 11 21:03:38 2026 commencing in-memory singleton removal
- Fri Sep 11 21:03:39 2026 begin with 41639897 relations and 43368220 unique ideals
- Fri Sep 11 21:03:42 2026 reduce to 41384642 relations and 39997500 ideals in 8 passes
- Fri Sep 11 21:03:42 2026 max relations containing the same ideal: 64
- Fri Sep 11 21:04:27 2026 relations with 0 large ideals: 4129
- Fri Sep 11 21:04:27 2026 relations with 1 large ideals: 39404
- Fri Sep 11 21:04:27 2026 relations with 2 large ideals: 489174
- Fri Sep 11 21:04:27 2026 relations with 3 large ideals: 2540325
- Fri Sep 11 21:04:27 2026 relations with 4 large ideals: 6973941
- Fri Sep 11 21:04:27 2026 relations with 5 large ideals: 11204828
- Fri Sep 11 21:04:27 2026 relations with 6 large ideals: 10942571
- Fri Sep 11 21:04:27 2026 relations with 7+ large ideals: 9190270
- Fri Sep 11 21:04:27 2026 commencing 2-way merge
- Fri Sep 11 21:05:18 2026 reduce to 24920808 relation sets and 23533666 unique ideals
- Fri Sep 11 21:05:18 2026 commencing full merge
- Fri Sep 11 21:22:17 2026 memory use: 2766.8 MB
- Fri Sep 11 21:22:21 2026 found 10827992 cycles, need 10753866
- Fri Sep 11 21:22:27 2026 weight of 10753866 cycles is about 1291153328 (120.06/cycle)
- Fri Sep 11 21:22:27 2026 distribution of cycle lengths:
- Fri Sep 11 21:22:27 2026 1 relations: 766767
- Fri Sep 11 21:22:27 2026 2 relations: 737239
- Fri Sep 11 21:22:27 2026 3 relations: 752010
- Fri Sep 11 21:22:27 2026 4 relations: 729948
- Fri Sep 11 21:22:27 2026 5 relations: 735560
- Fri Sep 11 21:22:27 2026 6 relations: 708028
- Fri Sep 11 21:22:27 2026 7 relations: 694955
- Fri Sep 11 21:22:27 2026 8 relations: 659793
- Fri Sep 11 21:22:27 2026 9 relations: 633228
- Fri Sep 11 21:22:27 2026 10+ relations: 4336338
- Fri Sep 11 21:22:27 2026 heaviest cycle: 28 relations
- Fri Sep 11 21:22:35 2026 commencing cycle optimization
- Fri Sep 11 21:23:23 2026 start with 94913718 relations
- Fri Sep 11 21:30:03 2026 pruned 3733028 relations
- Fri Sep 11 21:30:03 2026 memory use: 2644.5 MB
- Fri Sep 11 21:30:03 2026 distribution of cycle lengths:
- Fri Sep 11 21:30:03 2026 1 relations: 766767
- Fri Sep 11 21:30:03 2026 2 relations: 755580
- Fri Sep 11 21:30:03 2026 3 relations: 781199
- Fri Sep 11 21:30:03 2026 4 relations: 756453
- Fri Sep 11 21:30:03 2026 5 relations: 765235
- Fri Sep 11 21:30:03 2026 6 relations: 736611
- Fri Sep 11 21:30:03 2026 7 relations: 724652
- Fri Sep 11 21:30:03 2026 8 relations: 686161
- Fri Sep 11 21:30:03 2026 9 relations: 657156
- Fri Sep 11 21:30:03 2026 10+ relations: 4124052
- Fri Sep 11 21:30:03 2026 heaviest cycle: 28 relations
- Fri Sep 11 21:30:39 2026 RelProcTime: 6546
- Fri Sep 11 21:30:39 2026
- Fri Sep 11 21:30:39 2026 commencing linear algebra
- Fri Sep 11 21:30:39 2026 using VBITS=256
- Fri Sep 11 21:30:39 2026 stopping after matrix build
- Fri Sep 11 21:30:39 2026 initialized process (0,0) of 1 x 1 grid
- Fri Sep 11 21:30:42 2026 read 10753866 cycles
- Fri Sep 11 21:31:25 2026 cycles contain 40399277 unique relations
- Fri Sep 11 21:38:48 2026 read 40399277 relations
- Fri Sep 11 21:38:55 2026 using 20 quadratic characters above 4294917295
- Fri Sep 11 21:39:03 2026 building initial matrix
- Fri Sep 11 21:56:15 2026 memory use: 5525.0 MB
- Fri Sep 11 21:56:30 2026 read 10753866 cycles
- Fri Sep 11 21:56:34 2026 matrix is 10753689 x 10753866 (5101.4 MB) with weight 1573097986 (146.28/col)
- Fri Sep 11 21:56:34 2026 sparse part has weight 1208248013 (112.35/col)
- Fri Sep 11 22:02:23 2026 filtering completed in 2 passes
- Fri Sep 11 22:02:28 2026 matrix is 10752655 x 10752832 (5101.3 MB) with weight 1573042817 (146.29/col)
- Fri Sep 11 22:02:28 2026 sparse part has weight 1208230762 (112.36/col)
- Fri Sep 11 22:03:52 2026 BLanczosTime: 1993
- Fri Sep 11 22:03:52 2026 elapsed time 02:22:20
- Fri Sep 11 22:56:49 2026
- Fri Sep 11 22:56:49 2026
- Fri Sep 11 22:56:49 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Fri Sep 11 22:56:49 2026 random seeds: 437d448b 34af380e
- Fri Sep 11 22:56:49 2026 MPI process 0 of 1
- Fri Sep 11 22:56:49 2026 Using 64 OpenMP threads
- Fri Sep 11 22:56:49 2026 factoring 3921393400489950139628128597753417650396531304793743245836463163716299745329470493284187703042261292319417325921605156822704826984801973214321985471421764116004595724873 (169 digits)
- Fri Sep 11 22:56:50 2026 searching for 15-digit factors
- Fri Sep 11 22:56:50 2026 commencing number field sieve (169-digit input)
- Fri Sep 11 22:56:50 2026 R0: -163021700434011899445468708190804
- Fri Sep 11 22:56:50 2026 R1: 39990287965700961924155657
- Fri Sep 11 22:56:50 2026 A0: 75053682030612719680213823357934225391785
- Fri Sep 11 22:56:50 2026 A1: 24758644253353813761901236825915842
- Fri Sep 11 22:56:50 2026 A2: -6582002197513589083546325807
- Fri Sep 11 22:56:50 2026 A3: -535033825609639609164
- Fri Sep 11 22:56:50 2026 A4: 28685470390860
- Fri Sep 11 22:56:50 2026 A5: 55440
- Fri Sep 11 22:56:50 2026 skew 8386756.29, size 2.133e-16, alpha -8.070, combined = 4.511e-13 rroots = 5
- Fri Sep 11 22:56:50 2026
- Fri Sep 11 22:56:50 2026 commencing relation filtering
- Fri Sep 11 22:56:50 2026 estimated available RAM is 257736.5 MB
- Fri Sep 11 22:56:50 2026 commencing duplicate removal, pass 1
- Fri Sep 11 22:58:18 2026 error -1 reading relation 66703766
- Fri Sep 11 22:58:28 2026 error -1 reading relation 73932589
- Fri Sep 11 22:58:44 2026 error -1 reading relation 86162229
- Fri Sep 11 22:59:14 2026 error -1 reading relation 108715571
- Fri Sep 11 22:59:27 2026 error -1 reading relation 118788484
- Fri Sep 11 22:59:31 2026 error -1 reading relation 122118418
- Fri Sep 11 23:00:16 2026
- Fri Sep 11 23:00:16 2026
- Fri Sep 11 23:00:16 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Fri Sep 11 23:00:16 2026 random seeds: ca5f96b4 b62e40f8
- Fri Sep 11 23:00:16 2026 MPI process 0 of 1
- Fri Sep 11 23:00:16 2026 Using 64 OpenMP threads
- Fri Sep 11 23:00:16 2026 factoring 3921393400489950139628128597753417650396531304793743245836463163716299745329470493284187703042261292319417325921605156822704826984801973214321985471421764116004595724873 (169 digits)
- Fri Sep 11 23:00:16 2026 searching for 15-digit factors
- Fri Sep 11 23:00:16 2026 commencing number field sieve (169-digit input)
- Fri Sep 11 23:00:16 2026 R0: -163021700434011899445468708190804
- Fri Sep 11 23:00:16 2026 R1: 39990287965700961924155657
- Fri Sep 11 23:00:16 2026 A0: 75053682030612719680213823357934225391785
- Fri Sep 11 23:00:16 2026 A1: 24758644253353813761901236825915842
- Fri Sep 11 23:00:16 2026 A2: -6582002197513589083546325807
- Fri Sep 11 23:00:16 2026 A3: -535033825609639609164
- Fri Sep 11 23:00:16 2026 A4: 28685470390860
- Fri Sep 11 23:00:16 2026 A5: 55440
- Fri Sep 11 23:00:16 2026 skew 8386756.29, size 2.133e-16, alpha -8.070, combined = 4.511e-13 rroots = 5
- Fri Sep 11 23:00:16 2026
- Fri Sep 11 23:00:16 2026 commencing linear algebra
- Fri Sep 11 23:00:16 2026 using VBITS=256
- Fri Sep 11 23:00:16 2026 skipping matrix build
- Fri Sep 11 23:00:16 2026 initialized process (0,0) of 1 x 1 grid
- Fri Sep 11 23:00:21 2026 matrix starts at (0, 0)
- Fri Sep 11 23:00:23 2026 matrix is 10752655 x 10752832 (5101.3 MB) with weight 1573042817 (146.29/col)
- Fri Sep 11 23:00:23 2026 sparse part has weight 1208230762 (112.36/col)
- Fri Sep 11 23:00:23 2026 saving the first 240 matrix rows for later
- Fri Sep 11 23:00:25 2026 matrix includes 256 packed rows
- Fri Sep 11 23:00:28 2026 matrix is 10752415 x 10752832 (4603.6 MB) with weight 1104939080 (102.76/col)
- Fri Sep 11 23:00:28 2026 sparse part has weight 1034753670 (96.23/col)
- Fri Sep 11 23:00:28 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Fri Sep 11 23:00:51 2026 commencing Lanczos iteration (64 threads)
- Fri Sep 11 23:00:51 2026 memory use: 6650.5 MB
- Fri Sep 11 23:02:24 2026 linear algebra at 0.3%, ETA 8h50m
- Fri Sep 11 23:04:34 2026 checking every 20000 dimensions, checkpointing every 1260000 dimensions
- Sat Sep 12 07:21:50 2026 lanczos halted after 42129 iterations (dim = 10752414)
- Sat Sep 12 07:22:35 2026 recovered 28 nontrivial dependencies
- Sat Sep 12 07:22:36 2026 BLanczosTime: 30140
- Sat Sep 12 07:22:36 2026
- Sat Sep 12 07:22:36 2026 commencing square root phase
- Sat Sep 12 07:22:36 2026 handling dependencies 1 to 64
- Sat Sep 12 07:22:36 2026 reading relations for dependency 1
- Sat Sep 12 07:22:36 2026 read 5379474 cycles
- Sat Sep 12 07:22:46 2026 cycles contain 20204660 unique relations
- Sat Sep 12 07:28:30 2026 read 20204660 relations
- Sat Sep 12 07:31:36 2026 multiplying 20204660 relations
- Sat Sep 12 07:35:56 2026 multiply complete, coefficients have about 1149.34 million bits
- Sat Sep 12 07:36:01 2026 initial square root is modulo 143111
- Sat Sep 12 07:51:53 2026 sqrtTime: 1757
- Sat Sep 12 07:51:53 2026 p58 factor: 1804213838066786438835251623872652785296200892450044347887
- Sat Sep 12 07:51:53 2026 p112 factor: 2173463764523455691873563318660108521968903298654683141889976752550804930871710551175728367435190408995679601479
- Sat Sep 12 07:51:53 2026 elapsed time 08:51:37
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