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- Tue May 18 21:21:42 2021
- Tue May 18 21:21:42 2021
- Tue May 18 21:21:42 2021 Msieve v. 1.53 (SVN 988)
- Tue May 18 21:21:42 2021 random seeds: 3c207e68 a2effcd2
- Tue May 18 21:21:42 2021 factoring 2261279568804755242866414231030837051763284363504183198067784897839179828678682034623323746941462527923149449075766124958885501751781389253283728906035092707736265075780516552198157 (181 digits)
- Tue May 18 21:21:43 2021 searching for 15-digit factors
- Tue May 18 21:21:43 2021 commencing number field sieve (181-digit input)
- Tue May 18 21:21:43 2021 R0: 1655251621832482749138189905425187521
- Tue May 18 21:21:43 2021 R1: -1
- Tue May 18 21:21:43 2021 A0: 1
- Tue May 18 21:21:43 2021 A1: 1
- Tue May 18 21:21:43 2021 A2: 1
- Tue May 18 21:21:43 2021 A3: 1
- Tue May 18 21:21:43 2021 A4: 1
- Tue May 18 21:21:43 2021 A5: 1
- Tue May 18 21:21:43 2021 A6: 1
- Tue May 18 21:21:43 2021 skew 1.00, size 8.723e-011, alpha 2.428, combined = 3.040e-012 rroots = 0
- Tue May 18 21:21:43 2021
- Tue May 18 21:21:43 2021 commencing relation filtering
- Tue May 18 21:21:43 2021 setting target matrix density to 100.0
- Tue May 18 21:21:43 2021 estimated available RAM is 12043.5 MB
- Tue May 18 21:21:43 2021 commencing duplicate removal, pass 1
- Tue May 18 21:22:49 2021 error -15 reading relation 6477837
- Tue May 18 21:23:04 2021 error -5 reading relation 8053285
- Tue May 18 21:25:26 2021 error -9 reading relation 22886892
- Tue May 18 21:27:06 2021 error -9 reading relation 33214239
- Tue May 18 21:27:06 2021 skipped 3 relations with composite factors
- Tue May 18 21:27:06 2021 found 4733676 hash collisions in 33222346 relations
- Tue May 18 21:27:15 2021 added 2437538 free relations
- Tue May 18 21:27:15 2021 commencing duplicate removal, pass 2
- Tue May 18 21:27:33 2021 found 4432338 duplicates and 31227546 unique relations
- Tue May 18 21:27:33 2021 memory use: 197.2 MB
- Tue May 18 21:27:33 2021 reading ideals above 720000
- Tue May 18 21:27:33 2021 commencing singleton removal, initial pass
- Tue May 18 21:32:50 2021 memory use: 753.0 MB
- Tue May 18 21:32:50 2021 reading all ideals from disk
- Tue May 18 21:32:51 2021 memory use: 1113.4 MB
- Tue May 18 21:32:55 2021 keeping 38616065 ideals with weight <= 200, target excess is 154323
- Tue May 18 21:32:59 2021 commencing in-memory singleton removal
- Tue May 18 21:33:03 2021 begin with 31227546 relations and 38616065 unique ideals
- Tue May 18 21:33:31 2021 reduce to 11371 relations and 0 ideals in 39 passes
- Tue May 18 21:33:31 2021 max relations containing the same ideal: 0
- Tue May 18 21:33:31 2021 filtering wants 1000000 more relations
- Tue May 18 21:33:31 2021 elapsed time 00:11:49
- Tue May 18 21:35:45 2021
- Tue May 18 21:35:45 2021
- Tue May 18 21:35:45 2021 Msieve v. 1.53 (SVN 988)
- Tue May 18 21:35:45 2021 random seeds: f5922c88 2c35fb0a
- Tue May 18 21:35:45 2021 factoring 2261279568804755242866414231030837051763284363504183198067784897839179828678682034623323746941462527923149449075766124958885501751781389253283728906035092707736265075780516552198157 (181 digits)
- Tue May 18 21:35:47 2021 searching for 15-digit factors
- Tue May 18 21:35:47 2021 commencing number field sieve (181-digit input)
- Tue May 18 21:35:47 2021 R0: 1655251621832482749138189905425187521
- Tue May 18 21:35:47 2021 R1: -1
- Tue May 18 21:35:47 2021 A0: 1
- Tue May 18 21:35:47 2021 A1: 1
- Tue May 18 21:35:47 2021 A2: 1
- Tue May 18 21:35:47 2021 A3: 1
- Tue May 18 21:35:47 2021 A4: 1
- Tue May 18 21:35:47 2021 A5: 1
- Tue May 18 21:35:47 2021 A6: 1
- Tue May 18 21:35:47 2021 skew 1.00, size 8.723e-011, alpha 2.428, combined = 3.040e-012 rroots = 0
- Tue May 18 21:35:47 2021
- Tue May 18 21:35:47 2021 commencing relation filtering
- Tue May 18 21:35:47 2021 setting target matrix density to 70.0
- Tue May 18 21:35:47 2021 estimated available RAM is 12043.5 MB
- Tue May 18 21:35:47 2021 commencing duplicate removal, pass 1
- Tue May 18 21:36:54 2021 error -15 reading relation 6477837
- Tue May 18 21:37:10 2021 error -5 reading relation 8053285
- Tue May 18 21:39:44 2021 error -9 reading relation 22886892
- Tue May 18 21:41:27 2021 error -9 reading relation 33214239
- Tue May 18 21:42:13 2021 skipped 3 relations with composite factors
- Tue May 18 21:42:13 2021 found 4841666 hash collisions in 35659884 relations
- Tue May 18 21:42:13 2021 commencing duplicate removal, pass 2
- Tue May 18 21:42:32 2021 found 4432338 duplicates and 31227546 unique relations
- Tue May 18 21:42:32 2021 memory use: 197.2 MB
- Tue May 18 21:42:32 2021 reading ideals above 720000
- Tue May 18 21:42:32 2021 commencing singleton removal, initial pass
- Tue May 18 21:48:00 2021 memory use: 753.0 MB
- Tue May 18 21:48:00 2021 reading all ideals from disk
- Tue May 18 21:48:01 2021 memory use: 1113.4 MB
- Tue May 18 21:48:05 2021 keeping 38616065 ideals with weight <= 200, target excess is 154323
- Tue May 18 21:48:09 2021 commencing in-memory singleton removal
- Tue May 18 21:48:13 2021 begin with 31227546 relations and 38616065 unique ideals
- Tue May 18 21:48:41 2021 reduce to 11371 relations and 0 ideals in 39 passes
- Tue May 18 21:48:41 2021 max relations containing the same ideal: 0
- Tue May 18 21:48:41 2021 filtering wants 1000000 more relations
- Tue May 18 21:48:41 2021 elapsed time 00:12:56
- Sat May 22 13:38:19 2021
- Sat May 22 13:38:19 2021
- Sat May 22 13:38:19 2021 Msieve v. 1.53 (SVN 988)
- Sat May 22 13:38:19 2021 random seeds: cd9c9b60 4ecc5bd4
- Sat May 22 13:38:19 2021 factoring 2261279568804755242866414231030837051763284363504183198067784897839179828678682034623323746941462527923149449075766124958885501751781389253283728906035092707736265075780516552198157 (181 digits)
- Sat May 22 13:38:20 2021 searching for 15-digit factors
- Sat May 22 13:38:21 2021 commencing number field sieve (181-digit input)
- Sat May 22 13:38:21 2021 R0: 1655251621832482749138189905425187521
- Sat May 22 13:38:21 2021 R1: -1
- Sat May 22 13:38:21 2021 A0: 1
- Sat May 22 13:38:21 2021 A1: 1
- Sat May 22 13:38:21 2021 A2: 1
- Sat May 22 13:38:21 2021 A3: 1
- Sat May 22 13:38:21 2021 A4: 1
- Sat May 22 13:38:21 2021 A5: 1
- Sat May 22 13:38:21 2021 A6: 1
- Sat May 22 13:38:21 2021 skew 1.00, size 8.723e-011, alpha 2.428, combined = 3.040e-012 rroots = 0
- Sat May 22 13:38:21 2021
- Sat May 22 13:38:21 2021 commencing relation filtering
- Sat May 22 13:38:21 2021 setting target matrix density to 100.0
- Sat May 22 13:38:21 2021 estimated available RAM is 12043.5 MB
- Sat May 22 13:38:21 2021 commencing duplicate removal, pass 1
- Sat May 22 13:39:21 2021 error -15 reading relation 6477837
- Sat May 22 13:39:34 2021 error -5 reading relation 8053285
- Sat May 22 13:41:49 2021 error -9 reading relation 22886892
- Sat May 22 13:43:25 2021 error -9 reading relation 33214239
- Sat May 22 13:43:30 2021 error -9 reading relation 33705135
- Sat May 22 13:45:40 2021 error -9 reading relation 45773967
- Sat May 22 13:45:49 2021 error -9 reading relation 46572760
- Sat May 22 13:46:26 2021 error -15 reading relation 50192882
- Sat May 22 13:47:34 2021 error -1 reading relation 57067697
- Sat May 22 13:47:44 2021 error -9 reading relation 58058229
- Sat May 22 13:47:45 2021 error -9 reading relation 58216089
- Sat May 22 13:47:46 2021 error -9 reading relation 58347331
- Sat May 22 13:47:57 2021 error -9 reading relation 59435526
- Sat May 22 13:47:59 2021 error -9 reading relation 59657641
- Sat May 22 13:48:03 2021 error -9 reading relation 60129519
- Sat May 22 13:48:04 2021 error -15 reading relation 60191325
- Sat May 22 13:48:09 2021 error -1 reading relation 60728387
- Sat May 22 13:48:15 2021 error -9 reading relation 61228775
- Sat May 22 13:48:22 2021 error -15 reading relation 61895339
- Sat May 22 13:48:36 2021 skipped 14 relations with composite factors
- Sat May 22 13:48:36 2021 found 13012453 hash collisions in 63412320 relations
- Sat May 22 13:48:44 2021 added 2438528 free relations
- Sat May 22 13:48:44 2021 commencing duplicate removal, pass 2
- Sat May 22 13:49:24 2021 found 12739913 duplicates and 53110935 unique relations
- Sat May 22 13:49:24 2021 memory use: 330.4 MB
- Sat May 22 13:49:24 2021 reading ideals above 54591488
- Sat May 22 13:49:24 2021 commencing singleton removal, initial pass
- Sat May 22 13:56:20 2021 memory use: 753.0 MB
- Sat May 22 13:56:20 2021 reading all ideals from disk
- Sat May 22 13:56:21 2021 memory use: 856.7 MB
- Sat May 22 13:56:23 2021 commencing in-memory singleton removal
- Sat May 22 13:56:25 2021 begin with 53110935 relations and 39091823 unique ideals
- Sat May 22 13:56:41 2021 reduce to 37309305 relations and 21950596 ideals in 10 passes
- Sat May 22 13:56:41 2021 max relations containing the same ideal: 33
- Sat May 22 13:56:44 2021 reading ideals above 720000
- Sat May 22 13:56:44 2021 commencing singleton removal, initial pass
- Sat May 22 14:02:40 2021 memory use: 753.0 MB
- Sat May 22 14:02:40 2021 reading all ideals from disk
- Sat May 22 14:02:42 2021 memory use: 1336.0 MB
- Sat May 22 14:02:47 2021 keeping 28268209 ideals with weight <= 200, target excess is 200250
- Sat May 22 14:02:50 2021 commencing in-memory singleton removal
- Sat May 22 14:02:55 2021 begin with 37309310 relations and 28268209 unique ideals
- Sat May 22 14:03:13 2021 reduce to 37307115 relations and 28265994 ideals in 5 passes
- Sat May 22 14:03:13 2021 max relations containing the same ideal: 200
- Sat May 22 14:03:31 2021 removing 3878971 relations and 2878971 ideals in 1000000 cliques
- Sat May 22 14:03:33 2021 commencing in-memory singleton removal
- Sat May 22 14:03:37 2021 begin with 33428144 relations and 28265994 unique ideals
- Sat May 22 14:03:59 2021 reduce to 33024919 relations and 24970331 ideals in 7 passes
- Sat May 22 14:03:59 2021 max relations containing the same ideal: 193
- Sat May 22 14:04:16 2021 removing 3155783 relations and 2155783 ideals in 1000000 cliques
- Sat May 22 14:04:17 2021 commencing in-memory singleton removal
- Sat May 22 14:04:21 2021 begin with 29869136 relations and 24970331 unique ideals
- Sat May 22 14:04:37 2021 reduce to 29638959 relations and 22577060 ideals in 6 passes
- Sat May 22 14:04:37 2021 max relations containing the same ideal: 182
- Sat May 22 14:04:53 2021 removing 2898018 relations and 1898018 ideals in 1000000 cliques
- Sat May 22 14:04:54 2021 commencing in-memory singleton removal
- Sat May 22 14:04:57 2021 begin with 26740941 relations and 22577060 unique ideals
- Sat May 22 14:05:18 2021 reduce to 26541234 relations and 20472787 ideals in 8 passes
- Sat May 22 14:05:18 2021 max relations containing the same ideal: 169
- Sat May 22 14:05:32 2021 removing 2786779 relations and 1786779 ideals in 1000000 cliques
- Sat May 22 14:05:33 2021 commencing in-memory singleton removal
- Sat May 22 14:05:36 2021 begin with 23754455 relations and 20472787 unique ideals
- Sat May 22 14:05:52 2021 reduce to 23565833 relations and 18490936 ideals in 7 passes
- Sat May 22 14:05:52 2021 max relations containing the same ideal: 158
- Sat May 22 14:06:05 2021 removing 2717895 relations and 1717895 ideals in 1000000 cliques
- Sat May 22 14:06:06 2021 commencing in-memory singleton removal
- Sat May 22 14:06:09 2021 begin with 20847938 relations and 18490936 unique ideals
- Sat May 22 14:06:21 2021 reduce to 20659104 relations and 16577449 ideals in 6 passes
- Sat May 22 14:06:21 2021 max relations containing the same ideal: 145
- Sat May 22 14:06:33 2021 removing 2671168 relations and 1671168 ideals in 1000000 cliques
- Sat May 22 14:06:34 2021 commencing in-memory singleton removal
- Sat May 22 14:06:36 2021 begin with 17987936 relations and 16577449 unique ideals
- Sat May 22 14:06:47 2021 reduce to 17792366 relations and 14702594 ideals in 6 passes
- Sat May 22 14:06:47 2021 max relations containing the same ideal: 131
- Sat May 22 14:06:56 2021 removing 2633489 relations and 1633489 ideals in 1000000 cliques
- Sat May 22 14:06:57 2021 commencing in-memory singleton removal
- Sat May 22 14:06:59 2021 begin with 15158877 relations and 14702594 unique ideals
- Sat May 22 14:07:08 2021 reduce to 14947462 relations and 12847899 ideals in 6 passes
- Sat May 22 14:07:08 2021 max relations containing the same ideal: 117
- Sat May 22 14:07:16 2021 removing 2605103 relations and 1605103 ideals in 1000000 cliques
- Sat May 22 14:07:17 2021 commencing in-memory singleton removal
- Sat May 22 14:07:18 2021 begin with 12342359 relations and 12847899 unique ideals
- Sat May 22 14:07:26 2021 reduce to 12098734 relations and 10985718 ideals in 7 passes
- Sat May 22 14:07:26 2021 max relations containing the same ideal: 103
- Sat May 22 14:07:33 2021 removing 2322363 relations and 1441637 ideals in 880726 cliques
- Sat May 22 14:07:34 2021 commencing in-memory singleton removal
- Sat May 22 14:07:35 2021 begin with 9776371 relations and 10985718 unique ideals
- Sat May 22 14:07:40 2021 reduce to 9513110 relations and 9265055 ideals in 6 passes
- Sat May 22 14:07:40 2021 max relations containing the same ideal: 83
- Sat May 22 14:07:45 2021 removing 83290 relations and 67525 ideals in 15765 cliques
- Sat May 22 14:07:46 2021 commencing in-memory singleton removal
- Sat May 22 14:07:47 2021 begin with 9429820 relations and 9265055 unique ideals
- Sat May 22 14:07:51 2021 reduce to 9429080 relations and 9196790 ideals in 5 passes
- Sat May 22 14:07:51 2021 max relations containing the same ideal: 82
- Sat May 22 14:07:53 2021 relations with 0 large ideals: 14655
- Sat May 22 14:07:53 2021 relations with 1 large ideals: 3662
- Sat May 22 14:07:53 2021 relations with 2 large ideals: 23504
- Sat May 22 14:07:53 2021 relations with 3 large ideals: 170048
- Sat May 22 14:07:53 2021 relations with 4 large ideals: 679424
- Sat May 22 14:07:53 2021 relations with 5 large ideals: 1611492
- Sat May 22 14:07:53 2021 relations with 6 large ideals: 2387324
- Sat May 22 14:07:53 2021 relations with 7+ large ideals: 4538971
- Sat May 22 14:07:53 2021 commencing 2-way merge
- Sat May 22 14:08:00 2021 reduce to 6774269 relation sets and 6541979 unique ideals
- Sat May 22 14:08:00 2021 commencing full merge
- Sat May 22 14:10:52 2021 memory use: 889.1 MB
- Sat May 22 14:10:53 2021 found 3177234 cycles, need 3156179
- Sat May 22 14:10:54 2021 weight of 3156179 cycles is about 316274700 (100.21/cycle)
- Sat May 22 14:10:54 2021 distribution of cycle lengths:
- Sat May 22 14:10:54 2021 1 relations: 120775
- Sat May 22 14:10:54 2021 2 relations: 192368
- Sat May 22 14:10:54 2021 3 relations: 251470
- Sat May 22 14:10:54 2021 4 relations: 276298
- Sat May 22 14:10:54 2021 5 relations: 290276
- Sat May 22 14:10:54 2021 6 relations: 285167
- Sat May 22 14:10:54 2021 7 relations: 272208
- Sat May 22 14:10:54 2021 8 relations: 248248
- Sat May 22 14:10:54 2021 9 relations: 219712
- Sat May 22 14:10:54 2021 10+ relations: 999657
- Sat May 22 14:10:54 2021 heaviest cycle: 28 relations
- Sat May 22 14:10:55 2021 commencing cycle optimization
- Sat May 22 14:11:01 2021 start with 24958065 relations
- Sat May 22 14:12:07 2021 pruned 1227354 relations
- Sat May 22 14:12:07 2021 memory use: 653.8 MB
- Sat May 22 14:12:07 2021 distribution of cycle lengths:
- Sat May 22 14:12:07 2021 1 relations: 120775
- Sat May 22 14:12:07 2021 2 relations: 197254
- Sat May 22 14:12:07 2021 3 relations: 263172
- Sat May 22 14:12:07 2021 4 relations: 289489
- Sat May 22 14:12:07 2021 5 relations: 307034
- Sat May 22 14:12:07 2021 6 relations: 301515
- Sat May 22 14:12:07 2021 7 relations: 287923
- Sat May 22 14:12:07 2021 8 relations: 259945
- Sat May 22 14:12:07 2021 9 relations: 228235
- Sat May 22 14:12:07 2021 10+ relations: 900837
- Sat May 22 14:12:07 2021 heaviest cycle: 28 relations
- Sat May 22 14:12:12 2021 RelProcTime: 2031
- Sat May 22 14:12:12 2021
- Sat May 22 14:12:12 2021 commencing linear algebra
- Sat May 22 14:12:12 2021 read 3156179 cycles
- Sat May 22 14:12:19 2021 cycles contain 9327029 unique relations
- Sat May 22 14:13:28 2021 read 9327029 relations
- Sat May 22 14:13:46 2021 using 20 quadratic characters above 4294917295
- Sat May 22 14:14:36 2021 building initial matrix
- Sat May 22 14:16:49 2021 memory use: 1174.5 MB
- Sat May 22 14:16:52 2021 read 3156179 cycles
- Sat May 22 14:16:52 2021 matrix is 3156002 x 3156179 (1259.8 MB) with weight 360700434 (114.28/col)
- Sat May 22 14:16:52 2021 sparse part has weight 295518793 (93.63/col)
- Sat May 22 14:17:28 2021 filtering completed in 2 passes
- Sat May 22 14:17:28 2021 matrix is 3155892 x 3156069 (1259.7 MB) with weight 360696112 (114.29/col)
- Sat May 22 14:17:28 2021 sparse part has weight 295516792 (93.63/col)
- Sat May 22 14:17:38 2021 matrix starts at (0, 0)
- Sat May 22 14:17:38 2021 matrix is 3155892 x 3156069 (1259.7 MB) with weight 360696112 (114.29/col)
- Sat May 22 14:17:38 2021 sparse part has weight 295516792 (93.63/col)
- Sat May 22 14:17:38 2021 saving the first 48 matrix rows for later
- Sat May 22 14:17:39 2021 matrix includes 64 packed rows
- Sat May 22 14:17:40 2021 matrix is 3155844 x 3156069 (1201.7 MB) with weight 304775277 (96.57/col)
- Sat May 22 14:17:40 2021 sparse part has weight 283453239 (89.81/col)
- Sat May 22 14:17:40 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sat May 22 14:17:55 2021 commencing Lanczos iteration (6 threads)
- Sat May 22 14:17:55 2021 memory use: 1000.1 MB
- Sat May 22 14:18:07 2021 linear algebra at 0.0%, ETA 6h20m
- Sat May 22 14:18:11 2021 checkpointing every 490000 dimensions
- Sat May 22 20:47:12 2021 lanczos halted after 49911 iterations (dim = 3155841)
- Sat May 22 20:47:17 2021 recovered 37 nontrivial dependencies
- Sat May 22 20:47:17 2021 BLanczosTime: 23705
- Sat May 22 20:47:17 2021
- Sat May 22 20:47:17 2021 commencing square root phase
- Sat May 22 20:47:17 2021 handling dependencies 1 to 64
- Sat May 22 20:47:17 2021 reading relations for dependency 1
- Sat May 22 20:47:18 2021 read 1577538 cycles
- Sat May 22 20:47:21 2021 cycles contain 4663518 unique relations
- Sat May 22 20:48:01 2021 read 4663518 relations
- Sat May 22 20:48:26 2021 multiplying 4663518 relations
- Sat May 22 20:51:01 2021 multiply complete, coefficients have about 111.91 million bits
- Sat May 22 20:51:02 2021 initial square root is modulo 107767651
- Sat May 22 20:53:50 2021 sqrtTime: 393
- Sat May 22 20:53:50 2021 p85 factor: 3409575893253912524635682174516651564138258850111394793193161673694663599562990587431
- Sat May 22 20:53:50 2021 p96 factor: 663214323305973943211842400136876607237065311218851734774123576155158122100768458305305159371947
- Sat May 22 20:53:50 2021 elapsed time 07:15:31
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