Sun Jun 29 14:24:23 2025 Sun Jun 29 14:24:23 2025 Sun Jun 29 14:24:23 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Jun 29 14:24:23 2025 random seeds: 0d66ecb6 7832c1b7 Sun Jun 29 14:24:23 2025 MPI process 0 of 1 Sun Jun 29 14:24:23 2025 Using 32 OpenMP threads Sun Jun 29 14:24:23 2025 factoring 15161717104274443229300566820632004884429617868865827539051520644683652123507865524561665656871296611894488222576680505931909624157120276856537523009271796328042467 (164 digits) Sun Jun 29 14:24:24 2025 searching for 15-digit factors Sun Jun 29 14:24:24 2025 commencing number field sieve (164-digit input) Sun Jun 29 14:24:24 2025 R0: -44198446035625387478734617169893 Sun Jun 29 14:24:24 2025 R1: 97836639631513689787211 Sun Jun 29 14:24:24 2025 A0: 25582684155751074741020362077711953176 Sun Jun 29 14:24:24 2025 A1: 29345321931197437953531215472166 Sun Jun 29 14:24:24 2025 A2: -91348645912949623979164375 Sun Jun 29 14:24:24 2025 A3: -1332435942978238657 Sun Jun 29 14:24:24 2025 A4: 30408560139390 Sun Jun 29 14:24:24 2025 A5: 831600 Sun Jun 29 14:24:24 2025 skew 1907543.39, size 8.519e-16, alpha -7.490, combined = 1.056e-12 rroots = 5 Sun Jun 29 14:24:24 2025 Sun Jun 29 14:24:24 2025 commencing relation filtering Sun Jun 29 14:24:24 2025 setting target matrix density to 130.0 Sun Jun 29 14:24:24 2025 estimated available RAM is 257736.5 MB Sun Jun 29 14:24:24 2025 commencing duplicate removal, pass 1 Sun Jun 29 14:25:30 2025 error -1 reading relation 29867075 Sun Jun 29 14:28:40 2025 error -1 reading relation 112940919 Sun Jun 29 14:28:41 2025 error -1 reading relation 113319706 Sun Jun 29 14:28:42 2025 error -1 reading relation 113634329 Sun Jun 29 14:28:55 2025 error -1 reading relation 119127551 Sun Jun 29 14:28:59 2025 error -1 reading relation 120656958 Sun Jun 29 14:29:46 2025 error -1 reading relation 141140685 Sun Jun 29 14:31:20 2025 error -1 reading relation 183696515 Sun Jun 29 14:31:57 2025 error -1 reading relation 200614394 Sun Jun 29 14:32:22 2025 error -1 reading relation 211753552 Sun Jun 29 14:32:34 2025 error -1 reading relation 217518802 Sun Jun 29 14:32:42 2025 error -1 reading relation 221116166 Sun Jun 29 14:32:43 2025 error -1 reading relation 221576186 Sun Jun 29 14:32:44 2025 error -1 reading relation 222209562 Sun Jun 29 14:32:45 2025 error -1 reading relation 222664812 Sun Jun 29 14:32:59 2025 error -1 reading relation 228080172 Sun Jun 29 14:33:45 2025 error -1 reading relation 247548440 Sun Jun 29 14:33:59 2025 error -1 reading relation 253484748 Sun Jun 29 14:34:47 2025 error -1 reading relation 273409305 Sun Jun 29 14:35:06 2025 skipped 154 malformed relations Sun Jun 29 14:35:06 2025 found 43430492 hash collisions in 280674168 relations Sun Jun 29 14:35:37 2025 commencing duplicate removal, pass 2 Sun Jun 29 14:42:43 2025 found 42323370 duplicates and 238350798 unique relations Sun Jun 29 14:42:43 2025 memory use: 1577.5 MB Sun Jun 29 14:42:44 2025 reading ideals above 720000 Sun Jun 29 14:42:44 2025 commencing singleton removal, initial pass Sun Jun 29 15:00:44 2025 memory use: 6024.0 MB Sun Jun 29 15:00:45 2025 reading all ideals from disk Sun Jun 29 15:00:50 2025 memory use: 10840.4 MB Sun Jun 29 15:01:17 2025 keeping 225878418 ideals with weight <= 200, target excess is 1160889 Sun Jun 29 15:01:55 2025 commencing in-memory singleton removal Sun Jun 29 15:01:58 2025 begin with 238350798 relations and 225878418 unique ideals Sun Jun 29 15:02:16 2025 reduce to 131235678 relations and 105510953 ideals in 16 passes Sun Jun 29 15:02:16 2025 max relations containing the same ideal: 141 Sun Jun 29 15:03:08 2025 removing 11718627 relations and 9718627 ideals in 2000000 cliques Sun Jun 29 15:03:13 2025 commencing in-memory singleton removal Sun Jun 29 15:03:15 2025 begin with 119517051 relations and 105510953 unique ideals Sun Jun 29 15:03:24 2025 reduce to 118723277 relations and 94982676 ideals in 11 passes Sun Jun 29 15:03:24 2025 max relations containing the same ideal: 134 Sun Jun 29 15:04:08 2025 removing 8904550 relations and 6904550 ideals in 2000000 cliques Sun Jun 29 15:04:12 2025 commencing in-memory singleton removal Sun Jun 29 15:04:14 2025 begin with 109818727 relations and 94982676 unique ideals Sun Jun 29 15:04:20 2025 reduce to 109282135 relations and 87532245 ideals in 8 passes Sun Jun 29 15:04:20 2025 max relations containing the same ideal: 126 Sun Jun 29 15:04:59 2025 removing 8065996 relations and 6065996 ideals in 2000000 cliques Sun Jun 29 15:05:03 2025 commencing in-memory singleton removal Sun Jun 29 15:05:04 2025 begin with 101216139 relations and 87532245 unique ideals Sun Jun 29 15:05:09 2025 reduce to 100737489 relations and 80979170 ideals in 7 passes Sun Jun 29 15:05:09 2025 max relations containing the same ideal: 118 Sun Jun 29 15:05:48 2025 removing 7634716 relations and 5634716 ideals in 2000000 cliques Sun Jun 29 15:05:52 2025 commencing in-memory singleton removal Sun Jun 29 15:05:53 2025 begin with 93102773 relations and 80979170 unique ideals Sun Jun 29 15:05:58 2025 reduce to 92642564 relations and 74875646 ideals in 8 passes Sun Jun 29 15:05:58 2025 max relations containing the same ideal: 111 Sun Jun 29 15:07:27 2025 removing 7374000 relations and 5374000 ideals in 2000000 cliques Sun Jun 29 15:07:30 2025 commencing in-memory singleton removal Sun Jun 29 15:07:31 2025 begin with 85268564 relations and 74875646 unique ideals Sun Jun 29 15:07:34 2025 reduce to 84807069 relations and 69031065 ideals in 7 passes Sun Jun 29 15:07:34 2025 max relations containing the same ideal: 107 Sun Jun 29 15:08:04 2025 removing 7208454 relations and 5208454 ideals in 2000000 cliques Sun Jun 29 15:08:08 2025 commencing in-memory singleton removal Sun Jun 29 15:08:09 2025 begin with 77598615 relations and 69031065 unique ideals Sun Jun 29 15:08:13 2025 reduce to 77123615 relations and 63337375 ideals in 8 passes Sun Jun 29 15:08:13 2025 max relations containing the same ideal: 101 Sun Jun 29 15:08:39 2025 removing 7107984 relations and 5107984 ideals in 2000000 cliques Sun Jun 29 15:08:42 2025 commencing in-memory singleton removal Sun Jun 29 15:08:43 2025 begin with 70015631 relations and 63337375 unique ideals Sun Jun 29 15:08:46 2025 reduce to 69515603 relations and 57717877 ideals in 7 passes Sun Jun 29 15:08:46 2025 max relations containing the same ideal: 93 Sun Jun 29 15:09:10 2025 removing 7050800 relations and 5050800 ideals in 2000000 cliques Sun Jun 29 15:09:13 2025 commencing in-memory singleton removal Sun Jun 29 15:09:13 2025 begin with 62464803 relations and 57717877 unique ideals Sun Jun 29 15:09:17 2025 reduce to 61921437 relations and 52109856 ideals in 8 passes Sun Jun 29 15:09:17 2025 max relations containing the same ideal: 88 Sun Jun 29 15:09:39 2025 removing 7038833 relations and 5038833 ideals in 2000000 cliques Sun Jun 29 15:09:41 2025 commencing in-memory singleton removal Sun Jun 29 15:09:42 2025 begin with 54882604 relations and 52109856 unique ideals Sun Jun 29 15:09:45 2025 reduce to 54276363 relations and 46447554 ideals in 10 passes Sun Jun 29 15:09:45 2025 max relations containing the same ideal: 80 Sun Jun 29 15:10:04 2025 removing 7058228 relations and 5058228 ideals in 2000000 cliques Sun Jun 29 15:10:07 2025 commencing in-memory singleton removal Sun Jun 29 15:10:07 2025 begin with 47218135 relations and 46447554 unique ideals Sun Jun 29 15:10:09 2025 reduce to 46515213 relations and 40663734 ideals in 8 passes Sun Jun 29 15:10:09 2025 max relations containing the same ideal: 71 Sun Jun 29 15:10:29 2025 removing 7127632 relations and 5127632 ideals in 2000000 cliques Sun Jun 29 15:10:31 2025 commencing in-memory singleton removal Sun Jun 29 15:10:32 2025 begin with 39387581 relations and 40663734 unique ideals Sun Jun 29 15:10:34 2025 reduce to 38541220 relations and 34657954 ideals in 9 passes Sun Jun 29 15:10:34 2025 max relations containing the same ideal: 62 Sun Jun 29 15:10:52 2025 removing 7255542 relations and 5255542 ideals in 2000000 cliques Sun Jun 29 15:10:54 2025 commencing in-memory singleton removal Sun Jun 29 15:10:54 2025 begin with 31285678 relations and 34657954 unique ideals Sun Jun 29 15:10:56 2025 reduce to 30193356 relations and 28259885 ideals in 9 passes Sun Jun 29 15:10:56 2025 max relations containing the same ideal: 54 Sun Jun 29 15:11:10 2025 removing 2926494 relations and 2339655 ideals in 586839 cliques Sun Jun 29 15:11:11 2025 commencing in-memory singleton removal Sun Jun 29 15:11:12 2025 begin with 27266862 relations and 28259885 unique ideals Sun Jun 29 15:11:13 2025 reduce to 27054926 relations and 25704718 ideals in 8 passes Sun Jun 29 15:11:13 2025 max relations containing the same ideal: 50 Sun Jun 29 15:11:28 2025 relations with 0 large ideals: 4324 Sun Jun 29 15:11:28 2025 relations with 1 large ideals: 48991 Sun Jun 29 15:11:28 2025 relations with 2 large ideals: 554297 Sun Jun 29 15:11:28 2025 relations with 3 large ideals: 2519370 Sun Jun 29 15:11:28 2025 relations with 4 large ideals: 5922800 Sun Jun 29 15:11:28 2025 relations with 5 large ideals: 7907893 Sun Jun 29 15:11:28 2025 relations with 6 large ideals: 6263529 Sun Jun 29 15:11:28 2025 relations with 7+ large ideals: 3833722 Sun Jun 29 15:11:28 2025 commencing 2-way merge Sun Jun 29 15:11:44 2025 reduce to 16008113 relation sets and 14657905 unique ideals Sun Jun 29 15:11:44 2025 commencing full merge Sun Jun 29 15:16:54 2025 memory use: 1786.5 MB Sun Jun 29 15:16:55 2025 found 6839198 cycles, need 6782105 Sun Jun 29 15:16:56 2025 weight of 6782105 cycles is about 882200675 (130.08/cycle) Sun Jun 29 15:16:56 2025 distribution of cycle lengths: Sun Jun 29 15:16:56 2025 1 relations: 382667 Sun Jun 29 15:16:56 2025 2 relations: 415280 Sun Jun 29 15:16:56 2025 3 relations: 427529 Sun Jun 29 15:16:56 2025 4 relations: 422653 Sun Jun 29 15:16:56 2025 5 relations: 428756 Sun Jun 29 15:16:56 2025 6 relations: 424954 Sun Jun 29 15:16:56 2025 7 relations: 415570 Sun Jun 29 15:16:56 2025 8 relations: 409181 Sun Jun 29 15:16:56 2025 9 relations: 392957 Sun Jun 29 15:16:56 2025 10+ relations: 3062558 Sun Jun 29 15:16:56 2025 heaviest cycle: 28 relations Sun Jun 29 15:16:58 2025 commencing cycle optimization Sun Jun 29 15:17:11 2025 start with 64899046 relations Sun Jun 29 15:19:20 2025 pruned 2814130 relations Sun Jun 29 15:19:21 2025 memory use: 1748.8 MB Sun Jun 29 15:19:21 2025 distribution of cycle lengths: Sun Jun 29 15:19:21 2025 1 relations: 382667 Sun Jun 29 15:19:21 2025 2 relations: 425530 Sun Jun 29 15:19:21 2025 3 relations: 444271 Sun Jun 29 15:19:21 2025 4 relations: 438428 Sun Jun 29 15:19:21 2025 5 relations: 448084 Sun Jun 29 15:19:21 2025 6 relations: 443329 Sun Jun 29 15:19:21 2025 7 relations: 436579 Sun Jun 29 15:19:21 2025 8 relations: 428613 Sun Jun 29 15:19:21 2025 9 relations: 411948 Sun Jun 29 15:19:21 2025 10+ relations: 2922656 Sun Jun 29 15:19:21 2025 heaviest cycle: 28 relations Sun Jun 29 15:19:30 2025 RelProcTime: 3306 Sun Jun 29 15:19:30 2025 Sun Jun 29 15:19:30 2025 commencing linear algebra Sun Jun 29 15:19:30 2025 using VBITS=256 Sun Jun 29 15:19:30 2025 stopping after matrix build Sun Jun 29 15:19:30 2025 initialized process (0,0) of 1 x 1 grid Sun Jun 29 15:19:30 2025 read 6782105 cycles Sun Jun 29 15:19:42 2025 cycles contain 26129874 unique relations Sun Jun 29 15:24:30 2025 read 26129874 relations Sun Jun 29 15:24:33 2025 using 20 quadratic characters above 4294917295 Sun Jun 29 15:24:37 2025 building initial matrix Sun Jun 29 15:30:47 2025 memory use: 3539.5 MB Sun Jun 29 15:30:53 2025 read 6782105 cycles Sun Jun 29 15:30:54 2025 matrix is 6781928 x 6782105 (3402.4 MB) with weight 1031911613 (152.15/col) Sun Jun 29 15:30:54 2025 sparse part has weight 817328275 (120.51/col) Sun Jun 29 15:32:45 2025 filtering completed in 2 passes Sun Jun 29 15:32:47 2025 matrix is 6781449 x 6781626 (3402.4 MB) with weight 1031884504 (152.16/col) Sun Jun 29 15:32:47 2025 sparse part has weight 817317444 (120.52/col) Sun Jun 29 15:33:29 2025 BLanczosTime: 839 Sun Jun 29 15:33:29 2025 elapsed time 01:09:06 Sun Jun 29 15:45:47 2025 Sun Jun 29 15:45:47 2025 Sun Jun 29 15:45:47 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Jun 29 15:45:47 2025 random seeds: 342b80d6 4d3c0053 Sun Jun 29 15:45:47 2025 MPI process 0 of 1 Sun Jun 29 15:45:47 2025 Using 64 OpenMP threads Sun Jun 29 15:45:47 2025 factoring 15161717104274443229300566820632004884429617868865827539051520644683652123507865524561665656871296611894488222576680505931909624157120276856537523009271796328042467 (164 digits) Sun Jun 29 15:45:47 2025 searching for 15-digit factors Sun Jun 29 15:45:47 2025 commencing number field sieve (164-digit input) Sun Jun 29 15:45:47 2025 R0: -44198446035625387478734617169893 Sun Jun 29 15:45:47 2025 R1: 97836639631513689787211 Sun Jun 29 15:45:47 2025 A0: 25582684155751074741020362077711953176 Sun Jun 29 15:45:47 2025 A1: 29345321931197437953531215472166 Sun Jun 29 15:45:47 2025 A2: -91348645912949623979164375 Sun Jun 29 15:45:47 2025 A3: -1332435942978238657 Sun Jun 29 15:45:47 2025 A4: 30408560139390 Sun Jun 29 15:45:47 2025 A5: 831600 Sun Jun 29 15:45:47 2025 skew 1907543.39, size 8.519e-16, alpha -7.490, combined = 1.056e-12 rroots = 5 Sun Jun 29 15:45:47 2025 Sun Jun 29 15:45:47 2025 commencing linear algebra Sun Jun 29 15:45:47 2025 using VBITS=256 Sun Jun 29 15:45:47 2025 skipping matrix build Sun Jun 29 15:45:47 2025 initialized process (0,0) of 1 x 1 grid Sun Jun 29 15:45:51 2025 matrix starts at (0, 0) Sun Jun 29 15:45:52 2025 matrix is 6781449 x 6781626 (3402.4 MB) with weight 1031884504 (152.16/col) Sun Jun 29 15:45:52 2025 sparse part has weight 817317444 (120.52/col) Sun Jun 29 15:45:52 2025 saving the first 240 matrix rows for later Sun Jun 29 15:45:53 2025 matrix includes 256 packed rows Sun Jun 29 15:45:55 2025 matrix is 6781209 x 6781626 (3074.9 MB) with weight 744114292 (109.73/col) Sun Jun 29 15:45:55 2025 sparse part has weight 697563515 (102.86/col) Sun Jun 29 15:45:55 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sun Jun 29 15:46:11 2025 commencing Lanczos iteration (64 threads) Sun Jun 29 15:46:11 2025 memory use: 4338.8 MB Sun Jun 29 15:47:10 2025 linear algebra at 0.5%, ETA 3h33m Sun Jun 29 15:48:36 2025 checking every 30000 dimensions, checkpointing every 1950000 dimensions Sun Jun 29 19:18:54 2025 lanczos halted after 26570 iterations (dim = 6781208) Sun Jun 29 19:19:21 2025 recovered 26 nontrivial dependencies Sun Jun 29 19:19:22 2025 BLanczosTime: 12815 Sun Jun 29 19:19:22 2025 Sun Jun 29 19:19:22 2025 commencing square root phase Sun Jun 29 19:19:22 2025 handling dependencies 1 to 64 Sun Jun 29 19:19:22 2025 reading relations for dependency 1 Sun Jun 29 19:19:22 2025 read 3390840 cycles Sun Jun 29 19:19:28 2025 cycles contain 13064432 unique relations Sun Jun 29 19:23:24 2025 read 13064432 relations Sun Jun 29 19:24:14 2025 multiplying 13064432 relations Sun Jun 29 19:26:08 2025 multiply complete, coefficients have about 754.66 million bits Sun Jun 29 19:26:10 2025 initial square root is modulo 5894783 Sun Jun 29 19:31:48 2025 sqrtTime: 746 Sun Jun 29 19:31:48 2025 p80 factor: 68121723865990182953316296933355137384679126277046703137995375700906326728509707 Sun Jun 29 19:31:48 2025 p84 factor: 222568018597132724972509787204290474277382465093080303747928507856505368032793676681 Sun Jun 29 19:31:48 2025 elapsed time 03:46:01