Tue Sep 1 11:40:08 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Sep 1 11:40:08 2026 random seeds: 87340cb5 5e1c3d4d Tue Sep 1 11:40:08 2026 factoring 32548408831380479352232176936636167483434815613898427521282936664064572092494980205096407941818938468693002094831913735602033452781296472806245985886455392838567 (161 digits) Tue Sep 1 11:40:08 2026 no P-1/P+1/ECM available, skipping Tue Sep 1 11:40:08 2026 commencing number field sieve (161-digit input) Tue Sep 1 11:40:09 2026 R0: -16366787730901535871887929254548 Tue Sep 1 11:40:09 2026 R1: 649767960540321699707 Tue Sep 1 11:40:09 2026 A0: -9744763901277592499208385776590306325 Tue Sep 1 11:40:09 2026 A1: 33573730404042118442314222839295 Tue Sep 1 11:40:09 2026 A2: 5362426604551253637248361 Tue Sep 1 11:40:09 2026 A3: -9834483231814558159 Tue Sep 1 11:40:09 2026 A4: -388867768332 Tue Sep 1 11:40:09 2026 A5: 83160 Tue Sep 1 11:40:09 2026 skew 4176055.13, size 1.850e-15, alpha -6.879, combined = 1.698e-12 rroots = 5 Tue Sep 1 11:40:09 2026 Tue Sep 1 11:40:09 2026 commencing relation filtering Tue Sep 1 11:40:09 2026 estimated available RAM is 31871.6 MB Tue Sep 1 11:40:09 2026 commencing duplicate removal, pass 1 Tue Sep 1 11:40:15 2026 error -1 reading relation 599678 Tue Sep 1 11:40:18 2026 error -1 reading relation 930903 Tue Sep 1 11:40:56 2026 error -1 reading relation 4838721 Tue Sep 1 11:41:43 2026 error -1 reading relation 9702714 Tue Sep 1 11:42:05 2026 error -1 reading relation 11935831 Tue Sep 1 11:43:26 2026 error -1 reading relation 20398661 Tue Sep 1 11:43:45 2026 error -1 reading relation 22322946 Tue Sep 1 11:45:18 2026 error -1 reading relation 31923138 Tue Sep 1 11:45:45 2026 error -1 reading relation 34474098 Tue Sep 1 11:45:45 2026 error -1 reading relation 34474099 Tue Sep 1 11:47:18 2026 error -1 reading relation 43511203 Tue Sep 1 11:48:14 2026 error -11 reading relation 49135472 Tue Sep 1 11:48:45 2026 error -1 reading relation 52313030 Tue Sep 1 11:49:42 2026 error -1 reading relation 57732087 Tue Sep 1 11:50:15 2026 error -1 reading relation 60942679 Tue Sep 1 11:50:15 2026 error -1 reading relation 60942680 Tue Sep 1 11:50:43 2026 error -1 reading relation 63579598 Tue Sep 1 11:51:07 2026 error -1 reading relation 65783331 Tue Sep 1 11:51:44 2026 error -1 reading relation 69291981 Tue Sep 1 11:51:44 2026 error -1 reading relation 69291982 Tue Sep 1 11:51:44 2026 error -1 reading relation 69291983 Tue Sep 1 11:52:38 2026 error -1 reading relation 74375796 Tue Sep 1 11:52:44 2026 error -1 reading relation 74949062 Tue Sep 1 11:52:44 2026 error -1 reading relation 74949063 Tue Sep 1 11:52:54 2026 error -1 reading relation 75935138 Tue Sep 1 11:52:57 2026 error -11 reading relation 76195637 Tue Sep 1 11:53:12 2026 error -1 reading relation 77719365 Tue Sep 1 11:53:53 2026 error -1 reading relation 81886058 Tue Sep 1 11:54:39 2026 error -1 reading relation 86493005 Tue Sep 1 11:54:55 2026 error -1 reading relation 88185007 Tue Sep 1 11:54:58 2026 error -1 reading relation 88489218 Tue Sep 1 11:54:58 2026 error -1 reading relation 88489219 Tue Sep 1 11:54:58 2026 error -1 reading relation 88489220 Tue Sep 1 11:55:36 2026 error -1 reading relation 92348058 Tue Sep 1 11:56:29 2026 error -1 reading relation 97904107 Tue Sep 1 11:56:46 2026 error -1 reading relation 99703037 Tue Sep 1 11:59:12 2026 skipped 6 malformed relations Tue Sep 1 11:59:12 2026 found 5648403 hash collisions in 114062231 relations Tue Sep 1 11:59:46 2026 added 122170 free relations Tue Sep 1 11:59:46 2026 commencing duplicate removal, pass 2 Tue Sep 1 12:01:43 2026 found 0 duplicates and 114184401 unique relations Tue Sep 1 12:01:43 2026 memory use: 394.4 MB Tue Sep 1 12:01:43 2026 reading ideals above 720000 Tue Sep 1 12:01:43 2026 commencing singleton removal, initial pass Tue Sep 1 12:25:32 2026 memory use: 3012.0 MB Tue Sep 1 12:25:32 2026 reading all ideals from disk Tue Sep 1 12:26:33 2026 memory use: 5088.7 MB Tue Sep 1 12:27:19 2026 keeping 111091533 ideals with weight <= 200, target excess is 602247 Tue Sep 1 12:27:42 2026 commencing in-memory singleton removal Tue Sep 1 12:28:05 2026 begin with 114184401 relations and 111091533 unique ideals Tue Sep 1 12:30:09 2026 reduce to 58283474 relations and 47915800 ideals in 14 passes Tue Sep 1 12:30:09 2026 max relations containing the same ideal: 132 Tue Sep 1 12:31:17 2026 removing 5917239 relations and 4917239 ideals in 1000000 cliques Tue Sep 1 12:31:21 2026 commencing in-memory singleton removal Tue Sep 1 12:31:31 2026 begin with 52366235 relations and 47915800 unique ideals Tue Sep 1 12:32:31 2026 reduce to 51946457 relations and 42570099 ideals in 10 passes Tue Sep 1 12:32:31 2026 max relations containing the same ideal: 121 Tue Sep 1 12:33:26 2026 removing 4495632 relations and 3495632 ideals in 1000000 cliques Tue Sep 1 12:33:29 2026 commencing in-memory singleton removal Tue Sep 1 12:33:38 2026 begin with 47450825 relations and 42570099 unique ideals Tue Sep 1 12:34:17 2026 reduce to 47164896 relations and 38783071 ideals in 7 passes Tue Sep 1 12:34:17 2026 max relations containing the same ideal: 115 Tue Sep 1 12:35:05 2026 removing 4063641 relations and 3063641 ideals in 1000000 cliques Tue Sep 1 12:35:08 2026 commencing in-memory singleton removal Tue Sep 1 12:35:17 2026 begin with 43101255 relations and 38783071 unique ideals Tue Sep 1 12:35:51 2026 reduce to 42845064 relations and 35458329 ideals in 7 passes Tue Sep 1 12:35:51 2026 max relations containing the same ideal: 107 Tue Sep 1 12:36:35 2026 removing 3841250 relations and 2841250 ideals in 1000000 cliques Tue Sep 1 12:36:38 2026 commencing in-memory singleton removal Tue Sep 1 12:36:45 2026 begin with 39003814 relations and 35458329 unique ideals Tue Sep 1 12:37:17 2026 reduce to 38754301 relations and 32362417 ideals in 7 passes Tue Sep 1 12:37:17 2026 max relations containing the same ideal: 101 Tue Sep 1 12:37:56 2026 removing 3713222 relations and 2713222 ideals in 1000000 cliques Tue Sep 1 12:37:58 2026 commencing in-memory singleton removal Tue Sep 1 12:38:05 2026 begin with 35041079 relations and 32362417 unique ideals Tue Sep 1 12:38:32 2026 reduce to 34789531 relations and 29391926 ideals in 7 passes Tue Sep 1 12:38:32 2026 max relations containing the same ideal: 94 Tue Sep 1 12:39:08 2026 removing 3622752 relations and 2622752 ideals in 1000000 cliques Tue Sep 1 12:39:10 2026 commencing in-memory singleton removal Tue Sep 1 12:39:16 2026 begin with 31166779 relations and 29391926 unique ideals Tue Sep 1 12:39:39 2026 reduce to 30906979 relations and 26502988 ideals in 7 passes Tue Sep 1 12:39:39 2026 max relations containing the same ideal: 86 Tue Sep 1 12:40:10 2026 removing 3562937 relations and 2562937 ideals in 1000000 cliques Tue Sep 1 12:40:12 2026 commencing in-memory singleton removal Tue Sep 1 12:40:17 2026 begin with 27344042 relations and 26502988 unique ideals Tue Sep 1 12:40:39 2026 reduce to 27068342 relations and 23656724 ideals in 8 passes Tue Sep 1 12:40:39 2026 max relations containing the same ideal: 80 Tue Sep 1 12:41:07 2026 removing 3524575 relations and 2524575 ideals in 1000000 cliques Tue Sep 1 12:41:09 2026 commencing in-memory singleton removal Tue Sep 1 12:41:13 2026 begin with 23543767 relations and 23656724 unique ideals Tue Sep 1 12:41:31 2026 reduce to 23243069 relations and 20821953 ideals in 8 passes Tue Sep 1 12:41:31 2026 max relations containing the same ideal: 75 Tue Sep 1 12:41:56 2026 removing 3494870 relations and 2494870 ideals in 1000000 cliques Tue Sep 1 12:41:58 2026 commencing in-memory singleton removal Tue Sep 1 12:42:02 2026 begin with 19748199 relations and 20821953 unique ideals Tue Sep 1 12:42:18 2026 reduce to 19411274 relations and 17978200 ideals in 8 passes Tue Sep 1 12:42:18 2026 max relations containing the same ideal: 63 Tue Sep 1 12:42:38 2026 removing 2711921 relations and 1977454 ideals in 734467 cliques Tue Sep 1 12:42:39 2026 commencing in-memory singleton removal Tue Sep 1 12:42:41 2026 begin with 16699353 relations and 17978200 unique ideals Tue Sep 1 12:42:54 2026 reduce to 16463812 relations and 15757454 ideals in 8 passes Tue Sep 1 12:42:54 2026 max relations containing the same ideal: 56 Tue Sep 1 12:43:13 2026 relations with 0 large ideals: 2025 Tue Sep 1 12:43:13 2026 relations with 1 large ideals: 15329 Tue Sep 1 12:43:13 2026 relations with 2 large ideals: 195994 Tue Sep 1 12:43:13 2026 relations with 3 large ideals: 1039001 Tue Sep 1 12:43:13 2026 relations with 4 large ideals: 2850660 Tue Sep 1 12:43:13 2026 relations with 5 large ideals: 4487568 Tue Sep 1 12:43:13 2026 relations with 6 large ideals: 4287701 Tue Sep 1 12:43:13 2026 relations with 7+ large ideals: 3585534 Tue Sep 1 12:43:13 2026 commencing 2-way merge Tue Sep 1 12:43:37 2026 reduce to 10300004 relation sets and 9593646 unique ideals Tue Sep 1 12:43:38 2026 commencing full merge Tue Sep 1 12:49:43 2026 memory use: 1208.0 MB Tue Sep 1 12:49:45 2026 found 5190390 cycles, need 5089846 Tue Sep 1 12:49:48 2026 weight of 5089846 cycles is about 458558303 (90.09/cycle) Tue Sep 1 12:49:48 2026 distribution of cycle lengths: Tue Sep 1 12:49:48 2026 1 relations: 323025 Tue Sep 1 12:49:48 2026 2 relations: 443708 Tue Sep 1 12:49:49 2026 3 relations: 494169 Tue Sep 1 12:49:49 2026 4 relations: 501180 Tue Sep 1 12:49:49 2026 5 relations: 499587 Tue Sep 1 12:49:49 2026 6 relations: 475518 Tue Sep 1 12:49:49 2026 7 relations: 446318 Tue Sep 1 12:49:49 2026 8 relations: 397390 Tue Sep 1 12:49:49 2026 9 relations: 344115 Tue Sep 1 12:49:49 2026 10+ relations: 1164836 Tue Sep 1 12:49:49 2026 heaviest cycle: 20 relations Tue Sep 1 12:49:50 2026 commencing cycle optimization Tue Sep 1 12:50:09 2026 start with 33801358 relations Tue Sep 1 12:51:56 2026 pruned 1146214 relations Tue Sep 1 12:51:57 2026 memory use: 1023.8 MB Tue Sep 1 12:51:57 2026 distribution of cycle lengths: Tue Sep 1 12:51:57 2026 1 relations: 323025 Tue Sep 1 12:51:57 2026 2 relations: 454737 Tue Sep 1 12:51:57 2026 3 relations: 515173 Tue Sep 1 12:51:57 2026 4 relations: 519965 Tue Sep 1 12:51:57 2026 5 relations: 520937 Tue Sep 1 12:51:57 2026 6 relations: 493345 Tue Sep 1 12:51:57 2026 7 relations: 461790 Tue Sep 1 12:51:57 2026 8 relations: 406722 Tue Sep 1 12:51:57 2026 9 relations: 348201 Tue Sep 1 12:51:57 2026 10+ relations: 1045951 Tue Sep 1 12:51:57 2026 heaviest cycle: 20 relations Tue Sep 1 12:52:13 2026 RelProcTime: 4324 Tue Sep 1 12:52:13 2026 Tue Sep 1 12:52:13 2026 commencing linear algebra Tue Sep 1 12:52:13 2026 using VBITS=256 Tue Sep 1 12:52:14 2026 read 5089846 cycles Tue Sep 1 12:52:26 2026 cycles contain 16017573 unique relations Tue Sep 1 12:55:46 2026 read 16017573 relations Tue Sep 1 12:56:51 2026 using 20 quadratic characters above 4294917295 Tue Sep 1 12:58:37 2026 building initial matrix Tue Sep 1 13:03:40 2026 memory use: 2146.4 MB Tue Sep 1 13:03:46 2026 read 5089846 cycles Tue Sep 1 13:03:47 2026 matrix is 5089666 x 5089846 (1873.7 MB) with weight 580935294 (114.14/col) Tue Sep 1 13:03:47 2026 sparse part has weight 435189943 (85.50/col) Tue Sep 1 13:05:15 2026 filtering completed in 2 passes Tue Sep 1 13:05:17 2026 matrix is 5088828 x 5089008 (1873.6 MB) with weight 580899273 (114.15/col) Tue Sep 1 13:05:17 2026 sparse part has weight 435177671 (85.51/col) Tue Sep 1 13:05:34 2026 matrix starts at (0, 0) Tue Sep 1 13:05:35 2026 matrix is 5088828 x 5089008 (1873.6 MB) with weight 580899273 (114.15/col) Tue Sep 1 13:05:35 2026 sparse part has weight 435177671 (85.51/col) Tue Sep 1 13:05:35 2026 saving the first 240 matrix rows for later Tue Sep 1 13:05:36 2026 matrix includes 256 packed rows Tue Sep 1 13:05:39 2026 matrix is 5088588 x 5089008 (1718.8 MB) with weight 394556651 (77.53/col) Tue Sep 1 13:05:39 2026 sparse part has weight 369137933 (72.54/col) Tue Sep 1 13:05:40 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Tue Sep 1 13:05:40 2026 selected card has CUDA arch 8.6 Tue Sep 1 13:06:54 2026 commencing Lanczos iteration Tue Sep 1 13:06:56 2026 memory use: 4194.6 MB Tue Sep 1 13:07:17 2026 linear algebra at 0.6%, ETA 0h55m Tue Sep 1 13:07:46 2026 checking every 90000 dimensions, checkpointing every 5670000 dimensions Tue Sep 1 14:00:50 2026 lanczos halted after 19939 iterations (dim = 5088588) Tue Sep 1 14:01:20 2026 recovered 29 nontrivial dependencies Tue Sep 1 14:01:20 2026 BLanczosTime: 4147 Tue Sep 1 14:01:20 2026 Tue Sep 1 14:01:20 2026 commencing square root phase Tue Sep 1 14:01:20 2026 handling dependencies 1 to 64 Tue Sep 1 14:01:20 2026 reading relations for dependency 1 Tue Sep 1 14:01:21 2026 read 2543680 cycles Tue Sep 1 14:01:28 2026 cycles contain 8007040 unique relations Tue Sep 1 14:05:15 2026 read 8007040 relations Tue Sep 1 14:06:45 2026 multiplying 8007040 relations Tue Sep 1 14:16:52 2026 multiply complete, coefficients have about 420.22 million bits Tue Sep 1 14:16:55 2026 initial square root is modulo 34677931 Tue Sep 1 14:27:22 2026 GCD is N, no factor found Tue Sep 1 14:27:22 2026 reading relations for dependency 2 Tue Sep 1 14:27:25 2026 read 2544867 cycles Tue Sep 1 14:27:31 2026 cycles contain 8008892 unique relations Tue Sep 1 14:30:02 2026 read 8008892 relations Tue Sep 1 14:31:02 2026 multiplying 8008892 relations Tue Sep 1 14:41:27 2026 multiply complete, coefficients have about 420.32 million bits Tue Sep 1 14:41:31 2026 initial square root is modulo 34822349 Tue Sep 1 14:52:03 2026 GCD is 1, no factor found Tue Sep 1 14:52:03 2026 reading relations for dependency 3 Tue Sep 1 14:52:07 2026 read 2544831 cycles Tue Sep 1 14:52:12 2026 cycles contain 8009178 unique relations Tue Sep 1 14:53:38 2026 read 8009178 relations Tue Sep 1 14:54:35 2026 multiplying 8009178 relations Tue Sep 1 15:05:00 2026 multiply complete, coefficients have about 420.33 million bits Tue Sep 1 15:05:02 2026 initial square root is modulo 34842541 Tue Sep 1 15:15:24 2026 sqrtTime: 4444 Tue Sep 1 15:15:24 2026 p66 factor: 856310127387351653844078525185768817888744690850355720929839981971 Tue Sep 1 15:15:24 2026 p95 factor: 38010071106699892440161401317945637574158152238534353237057017267980473625270160448786123150877 Tue Sep 1 15:15:24 2026 elapsed time 03:35:16