Sat May 28 21:50:45 2022 Sat May 28 21:50:45 2022 Sat May 28 21:50:45 2022 Msieve v. 1.54 (SVN 1043M) Sat May 28 21:50:45 2022 random seeds: 0398e957 6a41e4cf Sat May 28 21:50:45 2022 factoring 3315474627896068580077909566355233994613143180376439077828259041686921733560182130294270493905279027934860788711431582257906140621531886630714127208557860566611974906081 (169 digits) Sat May 28 21:50:46 2022 searching for 15-digit factors Sat May 28 21:50:47 2022 commencing number field sieve (169-digit input) Sat May 28 21:50:47 2022 R0: -435900915356885447599442792439497 Sat May 28 21:50:47 2022 R1: 291333941423218403 Sat May 28 21:50:47 2022 A0: -15658297279742080247148768480002965337760 Sat May 28 21:50:47 2022 A1: 70714646304708449768963116165747272 Sat May 28 21:50:47 2022 A2: 5817629668958351042956558194 Sat May 28 21:50:47 2022 A3: -988910332602724829579 Sat May 28 21:50:47 2022 A4: -10499448900902 Sat May 28 21:50:47 2022 A5: 210672 Sat May 28 21:50:47 2022 skew 22157603.14, size 1.661e-16, alpha -7.444, combined = 3.842e-13 rroots = 5 Sat May 28 21:50:47 2022 Sat May 28 21:50:47 2022 commencing relation filtering Sat May 28 21:50:47 2022 setting target matrix density to 130.0 Sat May 28 21:50:47 2022 estimated available RAM is 63624.2 MB Sat May 28 21:50:47 2022 commencing duplicate removal, pass 1 Sat May 28 22:05:58 2022 error -15 reading relation 82104275 Sat May 28 22:05:59 2022 error -15 reading relation 82151701 Sat May 28 22:08:23 2022 error -11 reading relation 94634981 Sat May 28 22:08:23 2022 error -11 reading relation 94673696 Sat May 28 22:09:34 2022 found 4448333 hash collisions in 100799846 relations Sat May 28 22:10:14 2022 added 121977 free relations Sat May 28 22:10:14 2022 commencing duplicate removal, pass 2 Sat May 28 22:10:50 2022 found 4 duplicates and 100921819 unique relations Sat May 28 22:10:50 2022 memory use: 261.2 MB Sat May 28 22:10:50 2022 reading ideals above 720000 Sat May 28 22:10:50 2022 commencing singleton removal, initial pass Sat May 28 22:30:02 2022 memory use: 2756.0 MB Sat May 28 22:30:02 2022 reading all ideals from disk Sat May 28 22:30:05 2022 memory use: 3907.0 MB Sat May 28 22:30:17 2022 keeping 91255352 ideals with weight <= 200, target excess is 567482 Sat May 28 22:30:32 2022 commencing in-memory singleton removal Sat May 28 22:30:43 2022 begin with 100921819 relations and 91255352 unique ideals Sat May 28 22:32:52 2022 reduce to 67120899 relations and 54187896 ideals in 13 passes Sat May 28 22:32:52 2022 max relations containing the same ideal: 165 Sat May 28 22:33:31 2022 removing 8802138 relations and 6802139 ideals in 2000000 cliques Sat May 28 22:33:36 2022 commencing in-memory singleton removal Sat May 28 22:33:42 2022 begin with 58318761 relations and 54187896 unique ideals Sat May 28 22:34:37 2022 reduce to 57439870 relations and 46475317 ideals in 7 passes Sat May 28 22:34:37 2022 max relations containing the same ideal: 147 Sat May 28 22:35:11 2022 removing 6956571 relations and 4956571 ideals in 2000000 cliques Sat May 28 22:35:15 2022 commencing in-memory singleton removal Sat May 28 22:35:19 2022 begin with 50483299 relations and 46475317 unique ideals Sat May 28 22:36:12 2022 reduce to 49840803 relations and 40854819 ideals in 8 passes Sat May 28 22:36:12 2022 max relations containing the same ideal: 132 Sat May 28 22:36:40 2022 removing 6471844 relations and 4471844 ideals in 2000000 cliques Sat May 28 22:36:44 2022 commencing in-memory singleton removal Sat May 28 22:36:47 2022 begin with 43368959 relations and 40854819 unique ideals Sat May 28 22:37:28 2022 reduce to 42761287 relations and 35753504 ideals in 7 passes Sat May 28 22:37:28 2022 max relations containing the same ideal: 118 Sat May 28 22:37:52 2022 removing 6255966 relations and 4255966 ideals in 2000000 cliques Sat May 28 22:37:55 2022 commencing in-memory singleton removal Sat May 28 22:37:58 2022 begin with 36505321 relations and 35753504 unique ideals Sat May 28 22:38:37 2022 reduce to 35872240 relations and 30838928 ideals in 8 passes Sat May 28 22:38:37 2022 max relations containing the same ideal: 106 Sat May 28 22:38:59 2022 removing 6145757 relations and 4145757 ideals in 2000000 cliques Sat May 28 22:39:02 2022 commencing in-memory singleton removal Sat May 28 22:39:05 2022 begin with 29726483 relations and 30838928 unique ideals Sat May 28 22:39:37 2022 reduce to 29016880 relations and 25949709 ideals in 8 passes Sat May 28 22:39:37 2022 max relations containing the same ideal: 92 Sat May 28 22:39:56 2022 removing 6106811 relations and 4106811 ideals in 2000000 cliques Sat May 28 22:39:59 2022 commencing in-memory singleton removal Sat May 28 22:40:01 2022 begin with 22910069 relations and 25949709 unique ideals Sat May 28 22:40:27 2022 reduce to 22052091 relations and 20934170 ideals in 10 passes Sat May 28 22:40:27 2022 max relations containing the same ideal: 77 Sat May 28 22:40:40 2022 removing 1925365 relations and 1465724 ideals in 459641 cliques Sat May 28 22:40:42 2022 commencing in-memory singleton removal Sat May 28 22:40:44 2022 begin with 20126726 relations and 20934170 unique ideals Sat May 28 22:41:04 2022 reduce to 20011141 relations and 19350756 ideals in 8 passes Sat May 28 22:41:04 2022 max relations containing the same ideal: 75 Sat May 28 22:41:20 2022 relations with 0 large ideals: 1879 Sat May 28 22:41:20 2022 relations with 1 large ideals: 8566 Sat May 28 22:41:20 2022 relations with 2 large ideals: 116613 Sat May 28 22:41:20 2022 relations with 3 large ideals: 722207 Sat May 28 22:41:20 2022 relations with 4 large ideals: 2369830 Sat May 28 22:41:20 2022 relations with 5 large ideals: 4557593 Sat May 28 22:41:20 2022 relations with 6 large ideals: 5468946 Sat May 28 22:41:20 2022 relations with 7+ large ideals: 6765507 Sat May 28 22:41:20 2022 commencing 2-way merge Sat May 28 22:41:37 2022 reduce to 13002799 relation sets and 12342414 unique ideals Sat May 28 22:41:37 2022 commencing full merge Sat May 28 22:47:28 2022 memory use: 1610.3 MB Sat May 28 22:47:29 2022 found 5828847 cycles, need 5776614 Sat May 28 22:47:32 2022 weight of 5776614 cycles is about 751425917 (130.08/cycle) Sat May 28 22:47:32 2022 distribution of cycle lengths: Sat May 28 22:47:32 2022 1 relations: 195744 Sat May 28 22:47:32 2022 2 relations: 315315 Sat May 28 22:47:32 2022 3 relations: 385173 Sat May 28 22:47:32 2022 4 relations: 407846 Sat May 28 22:47:32 2022 5 relations: 432764 Sat May 28 22:47:32 2022 6 relations: 436163 Sat May 28 22:47:32 2022 7 relations: 428234 Sat May 28 22:47:32 2022 8 relations: 414616 Sat May 28 22:47:32 2022 9 relations: 390649 Sat May 28 22:47:32 2022 10+ relations: 2370110 Sat May 28 22:47:32 2022 heaviest cycle: 28 relations Sat May 28 22:47:35 2022 commencing cycle optimization Sat May 28 22:47:50 2022 start with 51880349 relations Sat May 28 22:50:17 2022 pruned 2613968 relations Sat May 28 22:50:17 2022 memory use: 1358.8 MB Sat May 28 22:50:17 2022 distribution of cycle lengths: Sat May 28 22:50:17 2022 1 relations: 195744 Sat May 28 22:50:17 2022 2 relations: 324496 Sat May 28 22:50:17 2022 3 relations: 404054 Sat May 28 22:50:17 2022 4 relations: 427947 Sat May 28 22:50:17 2022 5 relations: 458416 Sat May 28 22:50:17 2022 6 relations: 460795 Sat May 28 22:50:17 2022 7 relations: 454594 Sat May 28 22:50:17 2022 8 relations: 437706 Sat May 28 22:50:17 2022 9 relations: 411658 Sat May 28 22:50:17 2022 10+ relations: 2201204 Sat May 28 22:50:17 2022 heaviest cycle: 28 relations Sat May 28 22:50:30 2022 RelProcTime: 3583 Sat May 28 22:50:30 2022 elapsed time 00:59:45 Sat May 28 22:50:57 2022 Sat May 28 22:50:57 2022 Sat May 28 22:50:57 2022 Msieve v. 1.54 (SVN 1043M) Sat May 28 22:50:57 2022 random seeds: 2f00b130 5dc1d410 Sat May 28 22:50:57 2022 factoring 3315474627896068580077909566355233994613143180376439077828259041686921733560182130294270493905279027934860788711431582257906140621531886630714127208557860566611974906081 (169 digits) Sat May 28 22:50:58 2022 searching for 15-digit factors Sat May 28 22:50:58 2022 commencing number field sieve (169-digit input) Sat May 28 22:50:58 2022 R0: -435900915356885447599442792439497 Sat May 28 22:50:58 2022 R1: 291333941423218403 Sat May 28 22:50:58 2022 A0: -15658297279742080247148768480002965337760 Sat May 28 22:50:58 2022 A1: 70714646304708449768963116165747272 Sat May 28 22:50:58 2022 A2: 5817629668958351042956558194 Sat May 28 22:50:58 2022 A3: -988910332602724829579 Sat May 28 22:50:58 2022 A4: -10499448900902 Sat May 28 22:50:58 2022 A5: 210672 Sat May 28 22:50:58 2022 skew 22157603.14, size 1.661e-16, alpha -7.444, combined = 3.842e-13 rroots = 5 Sat May 28 22:50:58 2022 Sat May 28 22:50:58 2022 commencing linear algebra Sat May 28 22:50:59 2022 read 5776614 cycles Sat May 28 22:51:15 2022 cycles contain 19655618 unique relations Sat May 28 22:53:57 2022 read 19655618 relations Sat May 28 22:54:34 2022 using 20 quadratic characters above 4294917295 Sat May 28 22:56:26 2022 building initial matrix Sat May 28 23:03:16 2022 memory use: 2819.1 MB Sat May 28 23:03:20 2022 read 5776614 cycles Sat May 28 23:03:22 2022 matrix is 5776436 x 5776614 (2906.0 MB) with weight 889134588 (153.92/col) Sat May 28 23:03:22 2022 sparse part has weight 692459056 (119.87/col) Sat May 28 23:04:55 2022 filtering completed in 2 passes Sat May 28 23:04:57 2022 matrix is 5776288 x 5776466 (2905.9 MB) with weight 889126555 (153.92/col) Sat May 28 23:04:57 2022 sparse part has weight 692456299 (119.88/col) Sat May 28 23:05:27 2022 matrix starts at (0, 0) Sat May 28 23:05:28 2022 matrix is 5776288 x 5776466 (2905.9 MB) with weight 889126555 (153.92/col) Sat May 28 23:05:28 2022 sparse part has weight 692456299 (119.88/col) Sat May 28 23:05:28 2022 saving the first 48 matrix rows for later Sat May 28 23:05:30 2022 matrix includes 64 packed rows Sat May 28 23:05:31 2022 matrix is 5776240 x 5776466 (2846.7 MB) with weight 765640459 (132.54/col) Sat May 28 23:05:31 2022 sparse part has weight 688480343 (119.19/col) Sat May 28 23:05:31 2022 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB Sat May 28 23:06:02 2022 commencing Lanczos iteration Sat May 28 23:06:02 2022 memory use: 2626.3 MB Sat May 28 23:07:57 2022 linear algebra at 0.0%, ETA 116h23m Sat May 28 23:08:35 2022 checkpointing every 50000 dimensions Sat May 28 23:13:21 2022 lanczos halted after 95 iterations (dim = 6008) Sat May 28 23:13:22 2022 BLanczosTime: 1344 Sat May 28 23:13:22 2022 elapsed time 00:22:25 Sun May 29 06:30:08 2022 Sun May 29 06:30:08 2022 Sun May 29 06:30:08 2022 Msieve v. 1.54 (SVN unknown) Sun May 29 06:30:08 2022 random seeds: 362755dc 08248439 Sun May 29 06:30:08 2022 factoring 3315474627896068580077909566355233994613143180376439077828259041686921733560182130294270493905279027934860788711431582257906140621531886630714127208557860566611974906081 (169 digits) Sun May 29 06:30:09 2022 no P-1/P+1/ECM available, skipping Sun May 29 06:30:09 2022 commencing number field sieve (169-digit input) Sun May 29 06:30:09 2022 R0: -435900915356885447599442792439497 Sun May 29 06:30:09 2022 R1: 291333941423218403 Sun May 29 06:30:09 2022 A0: -15658297279742080247148768480002965337760 Sun May 29 06:30:09 2022 A1: 70714646304708449768963116165747272 Sun May 29 06:30:09 2022 A2: 5817629668958351042956558194 Sun May 29 06:30:09 2022 A3: -988910332602724829579 Sun May 29 06:30:09 2022 A4: -10499448900902 Sun May 29 06:30:09 2022 A5: 210672 Sun May 29 06:30:09 2022 skew 22157603.14, size 1.661e-16, alpha -7.444, combined = 3.842e-13 rroots = 5 Sun May 29 06:30:09 2022 Sun May 29 06:30:09 2022 commencing linear algebra Sun May 29 06:30:09 2022 using VBITS=128 Sun May 29 06:30:09 2022 skipping matrix build Sun May 29 06:30:11 2022 matrix starts at (0, 0) Sun May 29 06:30:12 2022 matrix is 5776288 x 5776466 (2905.9 MB) with weight 889126555 (153.92/col) Sun May 29 06:30:12 2022 sparse part has weight 692456299 (119.88/col) Sun May 29 06:30:12 2022 saving the first 112 matrix rows for later Sun May 29 06:30:14 2022 matrix includes 128 packed rows Sun May 29 06:30:16 2022 matrix is 5776176 x 5776466 (2680.3 MB) with weight 688480343 (119.19/col) Sun May 29 06:30:16 2022 sparse part has weight 633300602 (109.63/col) Sun May 29 06:30:16 2022 using GPU 0 (Tesla P100-PCIE-16GB) Sun May 29 06:30:16 2022 selected card has CUDA arch 6.0 Sun May 29 06:31:12 2022 commencing Lanczos iteration Sun May 29 06:31:12 2022 memory use: 5625.0 MB Sun May 29 06:31:16 2022 linear algebra at 0.0%, ETA 3h 9m Sun May 29 06:31:17 2022 checkpointing every 1840000 dimensions Sun May 29 09:29:56 2022 lanczos halted after 45400 iterations (dim = 5776175) Sun May 29 09:30:08 2022 recovered 30 nontrivial dependencies Sun May 29 09:30:08 2022 BLanczosTime: 10799 Sun May 29 09:30:08 2022 elapsed time 03:00:00 Sun May 29 09:32:16 2022 Sun May 29 09:32:16 2022 Sun May 29 09:32:16 2022 Msieve v. 1.54 (SVN 1043M) Sun May 29 09:32:16 2022 random seeds: e5c3f7ce 561a3731 Sun May 29 09:32:16 2022 factoring 3315474627896068580077909566355233994613143180376439077828259041686921733560182130294270493905279027934860788711431582257906140621531886630714127208557860566611974906081 (169 digits) Sun May 29 09:32:17 2022 searching for 15-digit factors Sun May 29 09:32:17 2022 commencing number field sieve (169-digit input) Sun May 29 09:32:17 2022 R0: -435900915356885447599442792439497 Sun May 29 09:32:17 2022 R1: 291333941423218403 Sun May 29 09:32:17 2022 A0: -15658297279742080247148768480002965337760 Sun May 29 09:32:17 2022 A1: 70714646304708449768963116165747272 Sun May 29 09:32:17 2022 A2: 5817629668958351042956558194 Sun May 29 09:32:17 2022 A3: -988910332602724829579 Sun May 29 09:32:17 2022 A4: -10499448900902 Sun May 29 09:32:17 2022 A5: 210672 Sun May 29 09:32:17 2022 skew 22157603.14, size 1.661e-16, alpha -7.444, combined = 3.842e-13 rroots = 5 Sun May 29 09:32:17 2022 Sun May 29 09:32:17 2022 commencing square root phase Sun May 29 09:32:17 2022 reading relations for dependency 1 Sun May 29 09:32:18 2022 read 2888331 cycles Sun May 29 09:32:27 2022 cycles contain 9826440 unique relations Sun May 29 09:33:54 2022 read 9826440 relations Sun May 29 09:34:58 2022 multiplying 9826440 relations Sun May 29 09:49:38 2022 multiply complete, coefficients have about 554.37 million bits Sun May 29 09:49:43 2022 initial square root is modulo 94309 Sun May 29 10:07:50 2022 GCD is 1, no factor found Sun May 29 10:07:50 2022 reading relations for dependency 2 Sun May 29 10:07:51 2022 read 2888315 cycles Sun May 29 10:07:58 2022 cycles contain 9832924 unique relations Sun May 29 10:09:16 2022 read 9832924 relations Sun May 29 10:10:19 2022 multiplying 9832924 relations Sun May 29 10:25:17 2022 multiply complete, coefficients have about 554.73 million bits Sun May 29 10:25:20 2022 initial square root is modulo 94811 Sun May 29 10:43:27 2022 GCD is 1, no factor found Sun May 29 10:43:27 2022 reading relations for dependency 3 Sun May 29 10:43:28 2022 read 2886977 cycles Sun May 29 10:43:35 2022 cycles contain 9822976 unique relations Sun May 29 10:45:00 2022 read 9822976 relations Sun May 29 10:46:05 2022 multiplying 9822976 relations Sun May 29 11:00:41 2022 multiply complete, coefficients have about 554.17 million bits Sun May 29 11:00:46 2022 initial square root is modulo 93887 Sun May 29 11:18:55 2022 sqrtTime: 6398 Sun May 29 11:18:55 2022 p81 factor: 371455348287443336868308788891551524044023487207320480325990945485981309153609563 Sun May 29 11:18:55 2022 p88 factor: 8925634381579705913320529628700317481776513704234491095601906534106156104332700220860787 Sun May 29 11:18:55 2022 elapsed time 01:46:39