Sat May 20 20:33:31 2023 Sat May 20 20:33:31 2023 Sat May 20 20:33:31 2023 Msieve v. 1.52 (SVN unknown) Sat May 20 20:33:31 2023 random seeds: 9d4e8760 7c483def Sat May 20 20:33:31 2023 factoring 237175975818067745775712525293256709663207149282678494783144535828642848751192451412874669335389371999114561131015678471984825797730647753139594125619599485893399477855815985122259949315571019771134402266084869883178110190547622230870185545493222128506469 (255 digits) Sat May 20 20:33:32 2023 no P-1/P+1/ECM available, skipping Sat May 20 20:33:32 2023 commencing number field sieve (255-digit input) Sat May 20 20:33:32 2023 R0: 492534069091280207443117943298409230278554887175274496 Sat May 20 20:33:32 2023 R1: -1694065894508600678136645001359283924102783203125 Sat May 20 20:33:32 2023 A0: 5 Sat May 20 20:33:32 2023 A1: 0 Sat May 20 20:33:32 2023 A2: 0 Sat May 20 20:33:32 2023 A3: 0 Sat May 20 20:33:32 2023 A4: 0 Sat May 20 20:33:32 2023 A5: 6 Sat May 20 20:33:32 2023 skew 0.96, size 3.259e-018, alpha -0.188, combined = 1.980e-014 rroots = 1 Sat May 20 20:33:32 2023 Sat May 20 20:33:32 2023 commencing relation filtering Sat May 20 20:33:32 2023 setting target matrix density to 110.0 Sat May 20 20:33:32 2023 estimated available RAM is 130978.7 MB Sat May 20 20:33:32 2023 commencing duplicate removal, pass 1 Sat May 20 20:33:32 2023 error -1 reading relation 0 Sat May 20 20:33:32 2023 error -1 reading relation 16304 Sat May 20 20:33:32 2023 error -1 reading relation 32695 Sat May 20 20:33:32 2023 error -1 reading relation 49661 Sat May 20 20:33:32 2023 error -1 reading relation 66255 Sat May 20 20:33:32 2023 error -1 reading relation 81731 Sat May 20 20:33:32 2023 error -1 reading relation 97517 Sat May 20 20:33:32 2023 error -1 reading relation 113635 Sat May 20 20:33:32 2023 error -1 reading relation 129052 Sat May 20 21:34:38 2023 error -15 reading relation 424625835 Sat May 20 21:34:46 2023 error -9 reading relation 425607100 Sat May 20 21:34:49 2023 error -15 reading relation 425862469 Sat May 20 21:34:51 2023 error -5 reading relation 426127516 Sat May 20 21:34:51 2023 error -15 reading relation 426144492 Sat May 20 21:34:51 2023 skipped 5674 relations with b > 2^32 Sat May 20 21:34:51 2023 found 99904407 hash collisions in 426172800 relations Sat May 20 21:35:38 2023 added 731214 free relations Sat May 20 21:35:38 2023 commencing duplicate removal, pass 2 Sat May 20 21:39:29 2023 found 102194807 duplicates and 324709207 unique relations Sat May 20 21:39:29 2023 memory use: 2387.0 MB Sat May 20 21:39:29 2023 reading ideals above 720000 Sat May 20 21:39:29 2023 commencing singleton removal, initial pass Sat May 20 22:42:54 2023 memory use: 11024.0 MB Sat May 20 22:42:55 2023 reading all ideals from disk Sat May 20 22:43:02 2023 memory use: 13810.0 MB Sat May 20 22:44:07 2023 keeping 329637737 ideals with weight <= 200, target excess is 1668775 Sat May 20 22:45:13 2023 commencing in-memory singleton removal Sat May 20 22:46:11 2023 begin with 324709207 relations and 329637737 unique ideals Sat May 20 22:56:41 2023 reduce to 179292663 relations and 166548390 ideals in 19 passes Sat May 20 22:56:41 2023 max relations containing the same ideal: 145 Sat May 20 22:59:01 2023 removing 16716948 relations and 14716948 ideals in 2000000 cliques Sat May 20 22:59:06 2023 commencing in-memory singleton removal Sat May 20 22:59:31 2023 begin with 162575715 relations and 166548390 unique ideals Sat May 20 23:04:20 2023 reduce to 161139749 relations and 150372383 ideals in 12 passes Sat May 20 23:04:20 2023 max relations containing the same ideal: 135 Sat May 20 23:06:20 2023 removing 12634192 relations and 10634192 ideals in 2000000 cliques Sat May 20 23:06:24 2023 commencing in-memory singleton removal Sat May 20 23:06:47 2023 begin with 148505557 relations and 150372383 unique ideals Sat May 20 23:10:26 2023 reduce to 147573427 relations and 138793268 ideals in 10 passes Sat May 20 23:10:26 2023 max relations containing the same ideal: 125 Sat May 20 23:12:18 2023 removing 11405008 relations and 9405008 ideals in 2000000 cliques Sat May 20 23:12:22 2023 commencing in-memory singleton removal Sat May 20 23:12:43 2023 begin with 136168419 relations and 138793268 unique ideals Sat May 20 23:15:59 2023 reduce to 135337898 relations and 128546622 ideals in 10 passes Sat May 20 23:15:59 2023 max relations containing the same ideal: 118 Sat May 20 23:17:41 2023 removing 10816217 relations and 8816217 ideals in 2000000 cliques Sat May 20 23:17:45 2023 commencing in-memory singleton removal Sat May 20 23:18:04 2023 begin with 124521681 relations and 128546622 unique ideals Sat May 20 23:20:44 2023 reduce to 123705109 relations and 118902219 ideals in 9 passes Sat May 20 23:20:44 2023 max relations containing the same ideal: 111 Sat May 20 23:22:19 2023 removing 10492284 relations and 8492284 ideals in 2000000 cliques Sat May 20 23:22:23 2023 commencing in-memory singleton removal Sat May 20 23:22:40 2023 begin with 113212825 relations and 118902219 unique ideals Sat May 20 23:25:38 2023 reduce to 112372428 relations and 109556804 ideals in 11 passes Sat May 20 23:25:38 2023 max relations containing the same ideal: 103 Sat May 20 23:27:04 2023 removing 5399131 relations and 4519286 ideals in 879845 cliques Sat May 20 23:27:06 2023 commencing in-memory singleton removal Sat May 20 23:27:22 2023 begin with 106973297 relations and 109556804 unique ideals Sat May 20 23:29:40 2023 reduce to 106748754 relations and 104811283 ideals in 9 passes Sat May 20 23:29:40 2023 max relations containing the same ideal: 101 Sat May 20 23:31:14 2023 relations with 0 large ideals: 31657 Sat May 20 23:31:14 2023 relations with 1 large ideals: 21274 Sat May 20 23:31:14 2023 relations with 2 large ideals: 323089 Sat May 20 23:31:14 2023 relations with 3 large ideals: 2226443 Sat May 20 23:31:14 2023 relations with 4 large ideals: 8491211 Sat May 20 23:31:14 2023 relations with 5 large ideals: 19646440 Sat May 20 23:31:14 2023 relations with 6 large ideals: 29147179 Sat May 20 23:31:14 2023 relations with 7+ large ideals: 46861461 Sat May 20 23:31:14 2023 commencing 2-way merge Sat May 20 23:33:08 2023 reduce to 66155213 relation sets and 64217742 unique ideals Sat May 20 23:33:08 2023 commencing full merge Sun May 21 00:08:56 2023 memory use: 7658.7 MB Sun May 21 00:09:13 2023 found 29675292 cycles, need 29579942 Sun May 21 00:09:15 2023 weight of 29579942 cycles is about 3254012867 (110.01/cycle) Sun May 21 00:09:15 2023 distribution of cycle lengths: Sun May 21 00:09:15 2023 1 relations: 2952405 Sun May 21 00:09:15 2023 2 relations: 2561892 Sun May 21 00:09:15 2023 3 relations: 2489002 Sun May 21 00:09:15 2023 4 relations: 2339747 Sun May 21 00:09:15 2023 5 relations: 2232182 Sun May 21 00:09:15 2023 6 relations: 2029493 Sun May 21 00:09:15 2023 7 relations: 1901583 Sun May 21 00:09:15 2023 8 relations: 1728620 Sun May 21 00:09:15 2023 9 relations: 1560624 Sun May 21 00:09:15 2023 10+ relations: 9784394 Sun May 21 00:09:15 2023 heaviest cycle: 28 relations Sun May 21 00:10:40 2023 commencing cycle optimization Sun May 21 00:11:45 2023 start with 231495770 relations Sun May 21 00:25:21 2023 pruned 7939370 relations Sun May 21 00:25:22 2023 memory use: 6711.9 MB Sun May 21 00:25:22 2023 distribution of cycle lengths: Sun May 21 00:25:22 2023 1 relations: 2952405 Sun May 21 00:25:22 2023 2 relations: 2627858 Sun May 21 00:25:22 2023 3 relations: 2589366 Sun May 21 00:25:22 2023 4 relations: 2419695 Sun May 21 00:25:22 2023 5 relations: 2311035 Sun May 21 00:25:22 2023 6 relations: 2090312 Sun May 21 00:25:22 2023 7 relations: 1954813 Sun May 21 00:25:22 2023 8 relations: 1763566 Sun May 21 00:25:22 2023 9 relations: 1588034 Sun May 21 00:25:22 2023 10+ relations: 9282858 Sun May 21 00:25:22 2023 heaviest cycle: 28 relations Sun May 21 00:27:47 2023 RelProcTime: 14055 Sun May 21 00:27:47 2023 Sun May 21 00:27:47 2023 commencing linear algebra Sun May 21 00:27:56 2023 read 29579942 cycles Sun May 21 00:29:11 2023 cycles contain 105237770 unique relations Sun May 21 00:45:12 2023 read 105237770 relations Sun May 21 00:49:23 2023 using 20 quadratic characters above 4294917296 Sun May 21 00:57:14 2023 building initial matrix Sun May 21 01:18:00 2023 memory use: 13628.4 MB Sun May 21 01:18:57 2023 read 29579942 cycles Sun May 21 01:19:08 2023 matrix is 29579764 x 29579942 (12979.9 MB) with weight 3810503847 (128.82/col) Sun May 21 01:19:08 2023 sparse part has weight 3077226566 (104.03/col) Sun May 21 01:29:26 2023 filtering completed in 2 passes Sun May 21 01:29:36 2023 matrix is 29575631 x 29575809 (12979.6 MB) with weight 3810349538 (128.83/col) Sun May 21 01:29:36 2023 sparse part has weight 3077181746 (104.04/col) Sun May 21 01:32:27 2023 matrix starts at (0, 0) Sun May 21 01:32:38 2023 matrix is 29575631 x 29575809 (12979.6 MB) with weight 3810349538 (128.83/col) Sun May 21 01:32:38 2023 sparse part has weight 3077181746 (104.04/col) Sun May 21 01:32:38 2023 saving the first 48 matrix rows for later Sun May 21 01:32:47 2023 matrix includes 64 packed rows Sun May 21 01:32:53 2023 matrix is 29575583 x 29575809 (12550.2 MB) with weight 3244398215 (109.70/col) Sun May 21 01:32:53 2023 sparse part has weight 2994213841 (101.24/col) Sun May 21 01:32:53 2023 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Sun May 21 01:36:34 2023 commencing Lanczos iteration (24 threads) Sun May 21 01:36:34 2023 memory use: 10873.5 MB Sun May 21 01:37:37 2023 linear algebra at 0.0%, ETA 324h 3m Sun May 21 01:37:57 2023 checkpointing every 100000 dimensions Sat Jun 03 15:39:35 2023 lanczos halted after 467702 iterations (dim = 29575583) Sat Jun 03 15:40:02 2023 recovered 36 nontrivial dependencies Sat Jun 03 15:40:58 2023 BLanczosTime: 1177991 Sat Jun 03 15:40:58 2023 Sat Jun 03 15:40:58 2023 commencing square root phase Sat Jun 03 15:40:58 2023 handling dependencies 1 to 64 Sat Jun 03 15:40:58 2023 reading relations for dependency 1 Sat Jun 03 15:41:06 2023 read 14784583 cycles Sat Jun 03 15:41:40 2023 cycles contain 52619116 unique relations Sat Jun 03 15:50:51 2023 read 52619116 relations Sat Jun 03 15:57:11 2023 multiplying 52619116 relations Sat Jun 03 16:41:17 2023 multiply complete, coefficients have about 1538.67 million bits Sat Jun 03 16:41:32 2023 initial square root is modulo 7981151 Sat Jun 03 17:38:01 2023 GCD is 1, no factor found Sat Jun 03 17:38:01 2023 reading relations for dependency 2 Sat Jun 03 17:38:08 2023 read 14787473 cycles Sat Jun 03 17:38:41 2023 cycles contain 52619318 unique relations Sat Jun 03 17:47:52 2023 read 52619318 relations Sat Jun 03 17:54:10 2023 multiplying 52619318 relations Sat Jun 03 18:38:13 2023 multiply complete, coefficients have about 1538.69 million bits Sat Jun 03 18:38:28 2023 initial square root is modulo 7982761 Sat Jun 03 19:35:52 2023 GCD is 1, no factor found Sat Jun 03 19:35:52 2023 reading relations for dependency 3 Sat Jun 03 19:35:59 2023 read 14784570 cycles Sat Jun 03 19:36:32 2023 cycles contain 52613764 unique relations Sat Jun 03 19:45:35 2023 read 52613764 relations Sat Jun 03 19:51:52 2023 multiplying 52613764 relations Sat Jun 03 20:36:32 2023 multiply complete, coefficients have about 1538.53 million bits Sat Jun 03 20:36:48 2023 initial square root is modulo 7969561 Sat Jun 03 21:34:27 2023 sqrtTime: 21209 Sat Jun 03 21:34:27 2023 prp104 factor: 45061980269776637716161741292558723125959989399378276693070043759417205253356518995697773368934147621401 Sat Jun 03 21:34:27 2023 prp151 factor: 5263327851952906966760656366597283831801615269213167529355427100926971274333812149482486594416088764353430498300612899074361328003262771414551192909869 Sat Jun 03 21:34:27 2023 elapsed time 337:00:56