Tue Nov 18 14:43:43 2025 Tue Nov 18 14:43:43 2025 Tue Nov 18 14:43:43 2025 Msieve v. 1.54 (SVN unknown) Tue Nov 18 14:43:43 2025 random seeds: ed89366b 15a9bf14 Tue Nov 18 14:43:43 2025 Using 4 OpenMP threads Tue Nov 18 14:43:43 2025 factoring 321006085712013126862173762137346535107133262890296473425339888852676942983094529773982485689387100065957366486804751151002218655983685881496522078707288051530252159389859339086549436005484341 (192 digits) Tue Nov 18 14:43:44 2025 no P-1/P+1/ECM available, skipping Tue Nov 18 14:43:44 2025 commencing number field sieve (192-digit input) Tue Nov 18 14:43:44 2025 R0: 19371406692461122835582175384854672454175254185237773 Tue Nov 18 14:43:44 2025 R1: -1 Tue Nov 18 14:43:44 2025 A0: 1 Tue Nov 18 14:43:44 2025 A1: 1 Tue Nov 18 14:43:44 2025 A2: 1 Tue Nov 18 14:43:44 2025 A3: 1 Tue Nov 18 14:43:44 2025 A4: 1 Tue Nov 18 14:43:44 2025 skew 1.93, size 2.490e-21, alpha 1.694, combined = 9.826e-13 rroots = 0 Tue Nov 18 14:43:44 2025 Tue Nov 18 14:43:44 2025 commencing relation filtering Tue Nov 18 14:43:44 2025 estimated available RAM is 32069.1 MB Tue Nov 18 14:43:44 2025 commencing duplicate removal, pass 1 Tue Nov 18 14:46:12 2025 error -1 reading relation 40469619 Tue Nov 18 14:47:26 2025 error -1 reading relation 62446976 Tue Nov 18 14:47:30 2025 error -1 reading relation 63932390 Tue Nov 18 14:47:40 2025 error -1 reading relation 66895937 Tue Nov 18 14:48:09 2025 error -1 reading relation 75973041 Tue Nov 18 14:48:10 2025 error -1 reading relation 76155543 Tue Nov 18 14:49:18 2025 error -1 reading relation 99766852 Tue Nov 18 14:49:18 2025 error -1 reading relation 99934646 Tue Nov 18 14:49:20 2025 error -5 reading relation 100480134 Tue Nov 18 14:50:15 2025 error -11 reading relation 120410664 Tue Nov 18 14:50:26 2025 error -1 reading relation 124380490 Tue Nov 18 14:50:43 2025 error -11 reading relation 130749450 Tue Nov 18 14:50:43 2025 error -1 reading relation 130845034 Tue Nov 18 14:50:45 2025 error -1 reading relation 131689755 Tue Nov 18 14:50:53 2025 error -1 reading relation 134658261 Tue Nov 18 14:51:06 2025 error -5 reading relation 139292169 Tue Nov 18 14:51:06 2025 error -5 reading relation 139391834 Tue Nov 18 14:51:07 2025 error -1 reading relation 139713120 Tue Nov 18 14:51:38 2025 error -15 reading relation 150849951 Tue Nov 18 14:51:47 2025 error -1 reading relation 154309089 Tue Nov 18 14:52:01 2025 error -1 reading relation 159538421 Tue Nov 18 14:52:02 2025 error -1 reading relation 159848768 Tue Nov 18 14:52:32 2025 error -1 reading relation 171953876 Tue Nov 18 14:52:34 2025 error -1 reading relation 172443856 Tue Nov 18 14:52:34 2025 error -1 reading relation 172531340 Tue Nov 18 14:52:40 2025 error -1 reading relation 174558598 Tue Nov 18 14:52:45 2025 skipped 86 relations with b > 2^32 Tue Nov 18 14:52:45 2025 skipped 1 relations with composite factors Tue Nov 18 14:52:45 2025 skipped 166 malformed relations Tue Nov 18 14:52:45 2025 found 34288695 hash collisions in 176733605 relations Tue Nov 18 14:52:53 2025 added 3657739 free relations Tue Nov 18 14:52:53 2025 commencing duplicate removal, pass 2 Tue Nov 18 14:54:25 2025 found 36164922 duplicates and 144226422 unique relations Tue Nov 18 14:54:25 2025 memory use: 852.8 MB Tue Nov 18 14:54:25 2025 reading ideals above 81985536 Tue Nov 18 14:54:25 2025 commencing singleton removal, initial pass Tue Nov 18 15:01:52 2025 memory use: 3012.0 MB Tue Nov 18 15:01:52 2025 reading all ideals from disk Tue Nov 18 15:01:55 2025 memory use: 3727.9 MB Tue Nov 18 15:02:16 2025 commencing in-memory singleton removal Tue Nov 18 15:02:27 2025 begin with 144226422 relations and 110052201 unique ideals Tue Nov 18 15:03:21 2025 reduce to 100638743 relations and 62839953 ideals in 11 passes Tue Nov 18 15:03:21 2025 max relations containing the same ideal: 63 Tue Nov 18 15:03:29 2025 reading ideals above 720000 Tue Nov 18 15:03:30 2025 commencing singleton removal, initial pass Tue Nov 18 15:11:48 2025 memory use: 1506.0 MB Tue Nov 18 15:11:49 2025 reading all ideals from disk Tue Nov 18 15:11:54 2025 memory use: 4543.4 MB Tue Nov 18 15:12:33 2025 keeping 71903437 ideals with weight <= 200, target excess is 493244 Tue Nov 18 15:12:59 2025 commencing in-memory singleton removal Tue Nov 18 15:13:13 2025 begin with 100638745 relations and 71903437 unique ideals Tue Nov 18 15:13:35 2025 reduce to 100638526 relations and 71903218 ideals in 3 passes Tue Nov 18 15:13:35 2025 max relations containing the same ideal: 200 Tue Nov 18 15:14:55 2025 removing 7698138 relations and 5698138 ideals in 2000000 cliques Tue Nov 18 15:14:59 2025 commencing in-memory singleton removal Tue Nov 18 15:15:11 2025 begin with 92940388 relations and 71903218 unique ideals Tue Nov 18 15:15:57 2025 reduce to 92467015 relations and 65719400 ideals in 7 passes Tue Nov 18 15:15:57 2025 max relations containing the same ideal: 197 Tue Nov 18 15:17:10 2025 removing 6135756 relations and 4135756 ideals in 2000000 cliques Tue Nov 18 15:17:13 2025 commencing in-memory singleton removal Tue Nov 18 15:17:25 2025 begin with 86331259 relations and 65719400 unique ideals Tue Nov 18 15:18:00 2025 reduce to 86011598 relations and 61256706 ideals in 6 passes Tue Nov 18 15:18:00 2025 max relations containing the same ideal: 191 Tue Nov 18 15:19:09 2025 removing 5721708 relations and 3721708 ideals in 2000000 cliques Tue Nov 18 15:19:12 2025 commencing in-memory singleton removal Tue Nov 18 15:19:22 2025 begin with 80289890 relations and 61256706 unique ideals Tue Nov 18 15:19:55 2025 reduce to 80011101 relations and 57249872 ideals in 6 passes Tue Nov 18 15:19:55 2025 max relations containing the same ideal: 184 Tue Nov 18 15:20:58 2025 removing 5501587 relations and 3501587 ideals in 2000000 cliques Tue Nov 18 15:21:01 2025 commencing in-memory singleton removal Tue Nov 18 15:21:10 2025 begin with 74509514 relations and 57249872 unique ideals Tue Nov 18 15:21:39 2025 reduce to 74249025 relations and 53481673 ideals in 6 passes Tue Nov 18 15:21:39 2025 max relations containing the same ideal: 177 Tue Nov 18 15:22:37 2025 removing 5364951 relations and 3364951 ideals in 2000000 cliques Tue Nov 18 15:22:40 2025 commencing in-memory singleton removal Tue Nov 18 15:22:48 2025 begin with 68884074 relations and 53481673 unique ideals Tue Nov 18 15:23:15 2025 reduce to 68627818 relations and 49854157 ideals in 6 passes Tue Nov 18 15:23:15 2025 max relations containing the same ideal: 169 Tue Nov 18 15:24:08 2025 removing 5273937 relations and 3273937 ideals in 2000000 cliques Tue Nov 18 15:24:11 2025 commencing in-memory singleton removal Tue Nov 18 15:24:18 2025 begin with 63353881 relations and 49854157 unique ideals Tue Nov 18 15:24:42 2025 reduce to 63095078 relations and 46314412 ideals in 6 passes Tue Nov 18 15:24:42 2025 max relations containing the same ideal: 160 Tue Nov 18 15:25:30 2025 removing 5207318 relations and 3207318 ideals in 2000000 cliques Tue Nov 18 15:25:33 2025 commencing in-memory singleton removal Tue Nov 18 15:25:39 2025 begin with 57887760 relations and 46314412 unique ideals Tue Nov 18 15:26:03 2025 reduce to 57619716 relations and 42831428 ideals in 6 passes Tue Nov 18 15:26:03 2025 max relations containing the same ideal: 153 Tue Nov 18 15:26:47 2025 removing 5166568 relations and 3166568 ideals in 2000000 cliques Tue Nov 18 15:26:50 2025 commencing in-memory singleton removal Tue Nov 18 15:26:55 2025 begin with 52453148 relations and 42831428 unique ideals Tue Nov 18 15:27:11 2025 reduce to 52167076 relations and 39370033 ideals in 5 passes Tue Nov 18 15:27:11 2025 max relations containing the same ideal: 147 Tue Nov 18 15:27:50 2025 removing 5146328 relations and 3146328 ideals in 2000000 cliques Tue Nov 18 15:27:53 2025 commencing in-memory singleton removal Tue Nov 18 15:27:58 2025 begin with 47020748 relations and 39370033 unique ideals Tue Nov 18 15:28:14 2025 reduce to 46707599 relations and 35900274 ideals in 6 passes Tue Nov 18 15:28:14 2025 max relations containing the same ideal: 136 Tue Nov 18 15:28:48 2025 removing 5146567 relations and 3146567 ideals in 2000000 cliques Tue Nov 18 15:28:51 2025 commencing in-memory singleton removal Tue Nov 18 15:28:55 2025 begin with 41561032 relations and 35900274 unique ideals Tue Nov 18 15:29:11 2025 reduce to 41209508 relations and 32389360 ideals in 7 passes Tue Nov 18 15:29:11 2025 max relations containing the same ideal: 123 Tue Nov 18 15:29:41 2025 removing 5168856 relations and 3168856 ideals in 2000000 cliques Tue Nov 18 15:29:43 2025 commencing in-memory singleton removal Tue Nov 18 15:29:47 2025 begin with 36040652 relations and 32389360 unique ideals Tue Nov 18 15:29:58 2025 reduce to 35634084 relations and 28797287 ideals in 6 passes Tue Nov 18 15:29:58 2025 max relations containing the same ideal: 111 Tue Nov 18 15:30:26 2025 removing 5213990 relations and 3213990 ideals in 2000000 cliques Tue Nov 18 15:30:28 2025 commencing in-memory singleton removal Tue Nov 18 15:30:31 2025 begin with 30420094 relations and 28797287 unique ideals Tue Nov 18 15:30:43 2025 reduce to 29933877 relations and 25074102 ideals in 8 passes Tue Nov 18 15:30:43 2025 max relations containing the same ideal: 101 Tue Nov 18 15:31:06 2025 removing 5292414 relations and 3292414 ideals in 2000000 cliques Tue Nov 18 15:31:08 2025 commencing in-memory singleton removal Tue Nov 18 15:31:10 2025 begin with 24641463 relations and 25074102 unique ideals Tue Nov 18 15:31:19 2025 reduce to 24034767 relations and 21141134 ideals in 7 passes Tue Nov 18 15:31:19 2025 max relations containing the same ideal: 85 Tue Nov 18 15:31:37 2025 removing 5391758 relations and 3391758 ideals in 2000000 cliques Tue Nov 18 15:31:39 2025 commencing in-memory singleton removal Tue Nov 18 15:31:41 2025 begin with 18643009 relations and 21141134 unique ideals Tue Nov 18 15:31:49 2025 reduce to 17842433 relations and 16892015 ideals in 9 passes Tue Nov 18 15:31:49 2025 max relations containing the same ideal: 69 Tue Nov 18 15:32:02 2025 removing 1449577 relations and 1071323 ideals in 378254 cliques Tue Nov 18 15:32:03 2025 commencing in-memory singleton removal Tue Nov 18 15:32:04 2025 begin with 16392856 relations and 16892015 unique ideals Tue Nov 18 15:32:09 2025 reduce to 16278134 relations and 15703360 ideals in 7 passes Tue Nov 18 15:32:09 2025 max relations containing the same ideal: 64 Tue Nov 18 15:32:24 2025 relations with 0 large ideals: 38736 Tue Nov 18 15:32:24 2025 relations with 1 large ideals: 8893 Tue Nov 18 15:32:24 2025 relations with 2 large ideals: 105532 Tue Nov 18 15:32:24 2025 relations with 3 large ideals: 632574 Tue Nov 18 15:32:24 2025 relations with 4 large ideals: 2038876 Tue Nov 18 15:32:24 2025 relations with 5 large ideals: 4364246 Tue Nov 18 15:32:24 2025 relations with 6 large ideals: 4273029 Tue Nov 18 15:32:24 2025 relations with 7+ large ideals: 4816248 Tue Nov 18 15:32:24 2025 commencing 2-way merge Tue Nov 18 15:32:40 2025 reduce to 11066499 relation sets and 10491725 unique ideals Tue Nov 18 15:32:40 2025 commencing full merge Tue Nov 18 15:39:06 2025 memory use: 1305.6 MB Tue Nov 18 15:39:08 2025 found 5379128 cycles, need 5309925 Tue Nov 18 15:39:10 2025 weight of 5309925 cycles is about 477909086 (90.00/cycle) Tue Nov 18 15:39:10 2025 distribution of cycle lengths: Tue Nov 18 15:39:10 2025 1 relations: 298546 Tue Nov 18 15:39:10 2025 2 relations: 395084 Tue Nov 18 15:39:10 2025 3 relations: 455020 Tue Nov 18 15:39:10 2025 4 relations: 477399 Tue Nov 18 15:39:10 2025 5 relations: 480604 Tue Nov 18 15:39:10 2025 6 relations: 466735 Tue Nov 18 15:39:10 2025 7 relations: 439452 Tue Nov 18 15:39:10 2025 8 relations: 401335 Tue Nov 18 15:39:10 2025 9 relations: 356488 Tue Nov 18 15:39:10 2025 10+ relations: 1539262 Tue Nov 18 15:39:10 2025 heaviest cycle: 28 relations Tue Nov 18 15:39:15 2025 commencing cycle optimization Tue Nov 18 15:39:31 2025 start with 39321046 relations Tue Nov 18 15:41:36 2025 pruned 1702019 relations Tue Nov 18 15:41:36 2025 memory use: 1081.4 MB Tue Nov 18 15:41:36 2025 distribution of cycle lengths: Tue Nov 18 15:41:36 2025 1 relations: 298546 Tue Nov 18 15:41:36 2025 2 relations: 403710 Tue Nov 18 15:41:36 2025 3 relations: 474594 Tue Nov 18 15:41:36 2025 4 relations: 498010 Tue Nov 18 15:41:36 2025 5 relations: 506627 Tue Nov 18 15:41:36 2025 6 relations: 489307 Tue Nov 18 15:41:36 2025 7 relations: 462368 Tue Nov 18 15:41:36 2025 8 relations: 417688 Tue Nov 18 15:41:36 2025 9 relations: 367882 Tue Nov 18 15:41:36 2025 10+ relations: 1391193 Tue Nov 18 15:41:36 2025 heaviest cycle: 27 relations Tue Nov 18 15:41:48 2025 RelProcTime: 3484 Tue Nov 18 15:41:51 2025 Tue Nov 18 15:41:51 2025 commencing linear algebra Tue Nov 18 15:41:51 2025 using VBITS=256 Tue Nov 18 15:41:52 2025 read 5309925 cycles Tue Nov 18 15:42:06 2025 cycles contain 15975342 unique relations Tue Nov 18 15:44:28 2025 read 15975342 relations Tue Nov 18 15:44:42 2025 using 20 quadratic characters above 4294917295 Tue Nov 18 15:45:01 2025 building initial matrix Tue Nov 18 15:48:38 2025 memory use: 2030.8 MB Tue Nov 18 15:48:41 2025 read 5309925 cycles Tue Nov 18 15:48:42 2025 matrix is 5309748 x 5309925 (1950.7 MB) with weight 565613394 (106.52/col) Tue Nov 18 15:48:42 2025 sparse part has weight 452962971 (85.30/col) Tue Nov 18 15:50:04 2025 filtering completed in 2 passes Tue Nov 18 15:50:05 2025 matrix is 5309154 x 5309314 (1950.7 MB) with weight 565592471 (106.53/col) Tue Nov 18 15:50:05 2025 sparse part has weight 452954624 (85.31/col) Tue Nov 18 15:50:25 2025 matrix starts at (0, 0) Tue Nov 18 15:50:26 2025 matrix is 5309154 x 5309314 (1950.7 MB) with weight 565592471 (106.53/col) Tue Nov 18 15:50:26 2025 sparse part has weight 452954624 (85.31/col) Tue Nov 18 15:50:26 2025 saving the first 240 matrix rows for later Tue Nov 18 15:50:27 2025 matrix includes 256 packed rows Tue Nov 18 15:50:29 2025 matrix is 5308914 x 5309314 (1801.7 MB) with weight 409806242 (77.19/col) Tue Nov 18 15:50:29 2025 sparse part has weight 387357486 (72.96/col) Tue Nov 18 15:50:30 2025 using GPU 0 (NVIDIA GeForce RTX 5060 Ti) Tue Nov 18 15:50:30 2025 selected card has CUDA arch 12.0 Tue Nov 18 15:52:00 2025 commencing Lanczos iteration Tue Nov 18 15:52:00 2025 memory use: 4292.0 MB Tue Nov 18 15:52:23 2025 linear algebra at 0.6%, ETA 1h 3m Tue Nov 18 15:52:55 2025 checking every 80000 dimensions, checkpointing every 5200000 dimensions Tue Nov 18 16:53:12 2025 lanczos halted after 20801 iterations (dim = 5308914) Tue Nov 18 16:53:37 2025 recovered 38 nontrivial dependencies Tue Nov 18 16:53:37 2025 BLanczosTime: 4306 Tue Nov 18 16:53:37 2025 Tue Nov 18 16:53:37 2025 commencing square root phase Tue Nov 18 16:53:37 2025 reading relations for dependency 1 Tue Nov 18 16:53:38 2025 read 2652987 cycles Tue Nov 18 16:53:44 2025 cycles contain 7984848 unique relations Tue Nov 18 16:56:23 2025 read 7984848 relations Tue Nov 18 16:57:04 2025 multiplying 7984848 relations Tue Nov 18 16:58:01 2025 multiply complete, coefficients have about 200.54 million bits Tue Nov 18 16:58:02 2025 initial square root is modulo 15733583 Tue Nov 18 16:59:15 2025 GCD is 1, no factor found Tue Nov 18 16:59:15 2025 reading relations for dependency 2 Tue Nov 18 16:59:16 2025 read 2652015 cycles Tue Nov 18 16:59:21 2025 cycles contain 7983546 unique relations Tue Nov 18 16:59:48 2025 read 7983546 relations Tue Nov 18 17:00:28 2025 multiplying 7983546 relations Tue Nov 18 17:01:25 2025 multiply complete, coefficients have about 200.51 million bits Tue Nov 18 17:01:26 2025 initial square root is modulo 15693017 Tue Nov 18 17:02:39 2025 GCD is 1, no factor found Tue Nov 18 17:02:39 2025 reading relations for dependency 3 Tue Nov 18 17:02:40 2025 read 2655319 cycles Tue Nov 18 17:02:45 2025 cycles contain 7988314 unique relations Tue Nov 18 17:03:08 2025 read 7988314 relations Tue Nov 18 17:03:48 2025 multiplying 7988314 relations Tue Nov 18 17:04:45 2025 multiply complete, coefficients have about 200.63 million bits Tue Nov 18 17:04:45 2025 initial square root is modulo 15846683 Tue Nov 18 17:06:01 2025 sqrtTime: 744 Tue Nov 18 17:06:01 2025 p72 factor: 287536868400375640671704395135348732253013271380765874758331723883556121 Tue Nov 18 17:06:01 2025 p121 factor: 1116399742049892067730329107312981410133207652914652308741339804107318392340436057198395654678354302562114334950430429821 Tue Nov 18 17:06:01 2025 elapsed time 02:22:18