Tue May 19 16:02:25 2026 Tue May 19 16:02:25 2026 Tue May 19 16:02:25 2026 Msieve v. 1.54 (SVN unknown) Tue May 19 16:02:25 2026 random seeds: 568f37b9 e977e8ba Tue May 19 16:02:25 2026 Using 12 OpenMP threads Tue May 19 16:02:25 2026 factoring 499442995604063258729339225877641538516991725308113591403125463405026157987796526364019158496591062366018892210657130975806069690321722863022738788553781119511524083434168506347 (177 digits) Tue May 19 16:02:25 2026 no P-1/P+1/ECM available, skipping Tue May 19 16:02:25 2026 commencing number field sieve (177-digit input) Tue May 19 16:02:25 2026 R0: -28256816836988695472153704667507591 Tue May 19 16:02:25 2026 R1: 25975957924533227287463 Tue May 19 16:02:25 2026 A0: 1416358729307099421521392592005596251849520 Tue May 19 16:02:25 2026 A1: 204189764050376964343187413371136152 Tue May 19 16:02:25 2026 A2: -19270827473361392012792505263 Tue May 19 16:02:25 2026 A3: -182024126497433033441 Tue May 19 16:02:25 2026 A4: 21253378653372 Tue May 19 16:02:25 2026 A5: 110880 Tue May 19 16:02:25 2026 skew 25615256.88, size 3.886e-17, alpha -7.412, combined = 1.660e-13 rroots = 3 Tue May 19 16:02:25 2026 Tue May 19 16:02:25 2026 commencing relation filtering Tue May 19 16:02:25 2026 setting 3 target densities:Tue May 19 16:02:25 2026 80Tue May 19 16:02:25 2026 100Tue May 19 16:02:25 2026 120Tue May 19 16:02:25 2026 Tue May 19 16:02:25 2026 estimated available RAM is 78540.1 MB Tue May 19 16:02:25 2026 commencing duplicate removal, pass 1 Tue May 19 16:04:53 2026 error -1 reading relation 44262263 Tue May 19 16:06:43 2026 error -1 reading relation 77415294 Tue May 19 16:07:03 2026 error -1 reading relation 83945795 Tue May 19 16:08:10 2026 error -15 reading relation 104070404 Tue May 19 16:10:24 2026 error -1 reading relation 154005208 Tue May 19 16:10:39 2026 error -1 reading relation 159656856 Tue May 19 16:10:39 2026 error -1 reading relation 159875873 Tue May 19 16:10:41 2026 error -5 reading relation 160574526 Tue May 19 16:12:42 2026 error -1 reading relation 207959995 Tue May 19 16:12:51 2026 error -1 reading relation 211292043 Tue May 19 16:12:55 2026 error -1 reading relation 213023462 Tue May 19 16:12:55 2026 error -1 reading relation 213197639 Tue May 19 16:13:42 2026 error -1 reading relation 231680052 Tue May 19 16:14:25 2026 error -1 reading relation 248791787 Tue May 19 16:14:31 2026 error -1 reading relation 251096991 Tue May 19 16:14:46 2026 error -1 reading relation 257056232 Tue May 19 16:15:14 2026 error -15 reading relation 268805854 Tue May 19 16:15:36 2026 error -1 reading relation 277377099 Tue May 19 16:15:43 2026 error -1 reading relation 280140105 Tue May 19 16:15:43 2026 error -1 reading relation 280270251 Tue May 19 16:15:44 2026 error -1 reading relation 280483981 Tue May 19 16:16:03 2026 error -1 reading relation 287620829 Tue May 19 16:16:08 2026 error -1 reading relation 290187356 Tue May 19 16:16:09 2026 error -1 reading relation 290461997 Tue May 19 16:16:59 2026 error -1 reading relation 309909649 Tue May 19 16:17:22 2026 error -1 reading relation 319185186 Tue May 19 16:17:23 2026 error -1 reading relation 319857932 Tue May 19 16:17:48 2026 error -1 reading relation 328928063 Tue May 19 16:17:48 2026 error -1 reading relation 328928064 Tue May 19 16:17:48 2026 skipped 1 relations with b > 2^32 Tue May 19 16:17:48 2026 skipped 3 relations with composite factors Tue May 19 16:17:48 2026 skipped 232 malformed relations Tue May 19 16:17:48 2026 found 74648874 hash collisions in 329148278 relations Tue May 19 16:18:06 2026 added 122109 free relations Tue May 19 16:18:06 2026 commencing duplicate removal, pass 2 Tue May 19 16:21:59 2026 found 83128388 duplicates and 246141999 unique relations Tue May 19 16:21:59 2026 memory use: 1705.5 MB Tue May 19 16:21:59 2026 reading ideals above 201916416 Tue May 19 16:21:59 2026 commencing singleton removal, initial pass Tue May 19 16:37:20 2026 memory use: 6024.0 MB Tue May 19 16:37:21 2026 reading all ideals from disk Tue May 19 16:37:24 2026 memory use: 6258.9 MB Tue May 19 16:38:16 2026 commencing in-memory singleton removal Tue May 19 16:38:20 2026 begin with 246141999 relations and 223715499 unique ideals Tue May 19 16:38:47 2026 reduce to 137964313 relations and 102817653 ideals in 17 passes Tue May 19 16:38:47 2026 max relations containing the same ideal: 38 Tue May 19 16:38:52 2026 reading ideals above 720000 Tue May 19 16:38:52 2026 commencing singleton removal, initial pass Tue May 19 16:52:14 2026 memory use: 3012.0 MB Tue May 19 16:52:15 2026 reading all ideals from disk Tue May 19 16:52:19 2026 memory use: 6566.5 MB Tue May 19 16:52:51 2026 keeping 124484587 ideals with weight <= 200, target excess is 678075 Tue May 19 16:53:10 2026 commencing in-memory singleton removal Tue May 19 16:53:13 2026 begin with 137964313 relations and 124484587 unique ideals Tue May 19 16:53:43 2026 reduce to 137864918 relations and 124385179 ideals in 13 passes Tue May 19 16:53:43 2026 max relations containing the same ideal: 200 Tue May 19 16:55:37 2026 removing 14141168 relations and 12141168 ideals in 2000000 cliques Tue May 19 16:55:41 2026 commencing in-memory singleton removal Tue May 19 16:55:44 2026 begin with 123723750 relations and 124385179 unique ideals Tue May 19 16:56:06 2026 reduce to 122475678 relations and 110971488 ideals in 10 passes Tue May 19 16:56:06 2026 max relations containing the same ideal: 193 Tue May 19 16:57:23 2026 removing 10814904 relations and 8814904 ideals in 2000000 cliques Tue May 19 16:57:27 2026 commencing in-memory singleton removal Tue May 19 16:57:30 2026 begin with 111660774 relations and 110971488 unique ideals Tue May 19 16:57:48 2026 reduce to 110815532 relations and 101296998 ideals in 9 passes Tue May 19 16:57:48 2026 max relations containing the same ideal: 183 Tue May 19 16:58:58 2026 removing 9831781 relations and 7831781 ideals in 2000000 cliques Tue May 19 16:59:02 2026 commencing in-memory singleton removal Tue May 19 16:59:04 2026 begin with 100983751 relations and 101296998 unique ideals Tue May 19 16:59:19 2026 reduce to 100207651 relations and 92675395 ideals in 9 passes Tue May 19 16:59:19 2026 max relations containing the same ideal: 173 Tue May 19 17:00:24 2026 removing 9372980 relations and 7372980 ideals in 2000000 cliques Tue May 19 17:00:28 2026 commencing in-memory singleton removal Tue May 19 17:00:30 2026 begin with 90834671 relations and 92675395 unique ideals Tue May 19 17:00:43 2026 reduce to 90056251 relations and 84509576 ideals in 8 passes Tue May 19 17:00:43 2026 max relations containing the same ideal: 161 Tue May 19 17:01:43 2026 removing 9138066 relations and 7138066 ideals in 2000000 cliques Tue May 19 17:01:47 2026 commencing in-memory singleton removal Tue May 19 17:01:48 2026 begin with 80918185 relations and 84509576 unique ideals Tue May 19 17:02:01 2026 reduce to 80099121 relations and 76535671 ideals in 9 passes Tue May 19 17:02:01 2026 max relations containing the same ideal: 149 Tue May 19 17:02:52 2026 removing 9032238 relations and 7032238 ideals in 2000000 cliques Tue May 19 17:02:56 2026 commencing in-memory singleton removal Tue May 19 17:02:57 2026 begin with 71066883 relations and 76535671 unique ideals Tue May 19 17:03:09 2026 reduce to 70161555 relations and 68577785 ideals in 10 passes Tue May 19 17:03:09 2026 max relations containing the same ideal: 135 Tue May 19 17:03:58 2026 removing 4414912 relations and 3617710 ideals in 797202 cliques Tue May 19 17:04:00 2026 commencing in-memory singleton removal Tue May 19 17:04:01 2026 begin with 65746643 relations and 68577785 unique ideals Tue May 19 17:04:11 2026 reduce to 65524473 relations and 64735549 ideals in 9 passes Tue May 19 17:04:11 2026 max relations containing the same ideal: 130 Tue May 19 17:04:58 2026 trying target density 80 Tue May 19 17:05:05 2026 relations with 0 large ideals: 2450 Tue May 19 17:05:05 2026 relations with 1 large ideals: 5531 Tue May 19 17:05:05 2026 relations with 2 large ideals: 99379 Tue May 19 17:05:05 2026 relations with 3 large ideals: 816264 Tue May 19 17:05:05 2026 relations with 4 large ideals: 3655667 Tue May 19 17:05:05 2026 relations with 5 large ideals: 9849695 Tue May 19 17:05:05 2026 relations with 6 large ideals: 16642329 Tue May 19 17:05:05 2026 relations with 7+ large ideals: 34453158 Tue May 19 17:05:05 2026 commencing 2-way merge Tue May 19 17:06:22 2026 reduce to 40571538 relation sets and 39782614 unique ideals Tue May 19 17:06:22 2026 commencing full merge Tue May 19 17:24:00 2026 memory use: 4637.0 MB Tue May 19 17:24:11 2026 found 20725520 cycles, need 20620814 Tue May 19 17:24:18 2026 weight of 20620814 cycles is about 1649674299 (80.00/cycle) Tue May 19 17:24:18 2026 distribution of cycle lengths: Tue May 19 17:24:18 2026 1 relations: 2711453 Tue May 19 17:24:18 2026 2 relations: 2370214 Tue May 19 17:24:18 2026 3 relations: 2259397 Tue May 19 17:24:18 2026 4 relations: 2030861 Tue May 19 17:24:18 2026 5 relations: 1897125 Tue May 19 17:24:18 2026 6 relations: 1658808 Tue May 19 17:24:18 2026 7 relations: 1501825 Tue May 19 17:24:18 2026 8 relations: 1307342 Tue May 19 17:24:18 2026 9 relations: 1119779 Tue May 19 17:24:18 2026 10+ relations: 3764010 Tue May 19 17:24:18 2026 heaviest cycle: 23 relations Tue May 19 17:24:25 2026 commencing cycle optimization Tue May 19 17:25:20 2026 start with 119696089 relations Tue May 19 17:29:57 2026 pruned 2967687 relations Tue May 19 17:30:00 2026 memory use: 3905.0 MB Tue May 19 17:30:00 2026 distribution of cycle lengths: Tue May 19 17:30:00 2026 1 relations: 2711453 Tue May 19 17:30:00 2026 2 relations: 2423764 Tue May 19 17:30:00 2026 3 relations: 2336949 Tue May 19 17:30:00 2026 4 relations: 2080438 Tue May 19 17:30:00 2026 5 relations: 1942807 Tue May 19 17:30:00 2026 6 relations: 1687653 Tue May 19 17:30:00 2026 7 relations: 1522571 Tue May 19 17:30:00 2026 8 relations: 1313274 Tue May 19 17:30:00 2026 9 relations: 1114615 Tue May 19 17:30:00 2026 10+ relations: 3487290 Tue May 19 17:30:00 2026 heaviest cycle: 22 relations Tue May 19 17:31:07 2026 trying target density 100 Tue May 19 17:31:15 2026 relations with 0 large ideals: 2450 Tue May 19 17:31:15 2026 relations with 1 large ideals: 5531 Tue May 19 17:31:15 2026 relations with 2 large ideals: 99379 Tue May 19 17:31:15 2026 relations with 3 large ideals: 816264 Tue May 19 17:31:15 2026 relations with 4 large ideals: 3655667 Tue May 19 17:31:15 2026 relations with 5 large ideals: 9849695 Tue May 19 17:31:15 2026 relations with 6 large ideals: 16642329 Tue May 19 17:31:15 2026 relations with 7+ large ideals: 34453158 Tue May 19 17:31:15 2026 commencing 2-way merge Tue May 19 17:32:48 2026 reduce to 40571538 relation sets and 39782614 unique ideals Tue May 19 17:32:48 2026 commencing full merge Tue May 19 17:54:37 2026 memory use: 4766.9 MB Tue May 19 17:54:49 2026 found 19091152 cycles, need 19022814 Tue May 19 17:54:56 2026 weight of 19022814 cycles is about 1902333680 (100.00/cycle) Tue May 19 17:54:56 2026 distribution of cycle lengths: Tue May 19 17:54:56 2026 1 relations: 1805118 Tue May 19 17:54:56 2026 2 relations: 1764878 Tue May 19 17:54:56 2026 3 relations: 1743250 Tue May 19 17:54:56 2026 4 relations: 1617687 Tue May 19 17:54:56 2026 5 relations: 1542492 Tue May 19 17:54:56 2026 6 relations: 1418748 Tue May 19 17:54:56 2026 7 relations: 1317979 Tue May 19 17:54:56 2026 8 relations: 1193808 Tue May 19 17:54:56 2026 9 relations: 1081224 Tue May 19 17:54:56 2026 10+ relations: 5537630 Tue May 19 17:54:56 2026 heaviest cycle: 28 relations Tue May 19 17:55:05 2026 commencing cycle optimization Tue May 19 17:56:02 2026 start with 137698109 relations Tue May 19 18:02:50 2026 pruned 4445005 relations Tue May 19 18:02:53 2026 memory use: 4103.2 MB Tue May 19 18:02:53 2026 distribution of cycle lengths: Tue May 19 18:02:53 2026 1 relations: 1805118 Tue May 19 18:02:53 2026 2 relations: 1808762 Tue May 19 18:02:53 2026 3 relations: 1811271 Tue May 19 18:02:53 2026 4 relations: 1668060 Tue May 19 18:02:53 2026 5 relations: 1593909 Tue May 19 18:02:53 2026 6 relations: 1457549 Tue May 19 18:02:53 2026 7 relations: 1351963 Tue May 19 18:02:53 2026 8 relations: 1217363 Tue May 19 18:02:53 2026 9 relations: 1099034 Tue May 19 18:02:53 2026 10+ relations: 5209785 Tue May 19 18:02:53 2026 heaviest cycle: 27 relations Tue May 19 18:03:55 2026 trying target density 120 Tue May 19 18:04:03 2026 relations with 0 large ideals: 2450 Tue May 19 18:04:03 2026 relations with 1 large ideals: 5531 Tue May 19 18:04:03 2026 relations with 2 large ideals: 99379 Tue May 19 18:04:03 2026 relations with 3 large ideals: 816264 Tue May 19 18:04:03 2026 relations with 4 large ideals: 3655667 Tue May 19 18:04:03 2026 relations with 5 large ideals: 9849695 Tue May 19 18:04:03 2026 relations with 6 large ideals: 16642329 Tue May 19 18:04:03 2026 relations with 7+ large ideals: 34453158 Tue May 19 18:04:03 2026 commencing 2-way merge Tue May 19 18:05:14 2026 reduce to 40571538 relation sets and 39782614 unique ideals Tue May 19 18:05:14 2026 commencing full merge Tue May 19 18:53:26 2026 memory use: 1838.8 MB Tue May 19 18:53:26 2026 found 140033 cycles, need 8498630 Tue May 19 18:53:26 2026 too few cycles, matrix probably cannot build Tue May 19 18:53:28 2026 RelProcTime: 10263 Tue May 19 18:53:28 2026 Tue May 19 18:53:28 2026 commencing linear algebra Tue May 19 18:53:28 2026 using VBITS=256 Tue May 19 18:53:28 2026 building matrices for all densities Tue May 19 18:53:28 2026 found 2 density files Tue May 19 18:53:28 2026 building matrix for density 80 Tue May 19 18:53:31 2026 read 20620814 cycles Tue May 19 18:54:12 2026 cycles contain 64895186 unique relations Tue May 19 18:55:47 2026 read 64895186 relations Tue May 19 18:56:13 2026 using 20 quadratic characters above 4294917295 Tue May 19 18:56:41 2026 building initial matrix Tue May 19 19:12:21 2026 memory use: 9034.1 MB Tue May 19 19:12:34 2026 read 20620814 cycles Tue May 19 19:12:37 2026 matrix is 20620635 x 20620814 (7008.8 MB) with weight 2163373321 (104.91/col) Tue May 19 19:12:37 2026 sparse part has weight 1589877380 (77.10/col) Tue May 19 19:16:46 2026 filtering completed in 2 passes Tue May 19 19:16:51 2026 matrix is 20613986 x 20614165 (7008.4 MB) with weight 2163137185 (104.93/col) Tue May 19 19:16:51 2026 sparse part has weight 1589829434 (77.12/col) Tue May 19 19:17:46 2026 building matrix for density 100 Tue May 19 19:17:49 2026 read 19022814 cycles Tue May 19 19:18:28 2026 cycles contain 64912874 unique relations Tue May 19 19:20:49 2026 read 64912874 relations Tue May 19 19:21:12 2026 using 20 quadratic characters above 4294917295 Tue May 19 19:21:42 2026 building initial matrix Tue May 19 19:41:25 2026 memory use: 8737.9 MB Tue May 19 19:42:08 2026 read 19022814 cycles Tue May 19 19:42:12 2026 matrix is 19022637 x 19022814 (7763.6 MB) with weight 2374344042 (124.82/col) Tue May 19 19:42:12 2026 sparse part has weight 1806904975 (94.99/col) Tue May 19 19:46:05 2026 filtering completed in 2 passes Tue May 19 19:46:11 2026 matrix is 19020350 x 19020527 (7763.4 MB) with weight 2374249676 (124.83/col) Tue May 19 19:46:11 2026 sparse part has weight 1806883162 (95.00/col) Tue May 19 19:47:17 2026 BLanczosTime: 3229 Tue May 19 19:47:17 2026 elapsed time 03:44:52 Wed May 20 10:07:06 2026 Wed May 20 10:07:06 2026 Wed May 20 10:07:06 2026 Msieve v. 1.54 (SVN unknown) Wed May 20 10:07:06 2026 random seeds: b422cb44 53721740 Wed May 20 10:07:06 2026 factoring 499442995604063258729339225877641538516991725308113591403125463405026157987796526364019158496591062366018892210657130975806069690321722863022738788553781119511524083434168506347 (177 digits) Wed May 20 10:07:07 2026 no P-1/P+1/ECM available, skipping Wed May 20 10:07:07 2026 commencing number field sieve (177-digit input) Wed May 20 10:07:07 2026 R0: -28256816836988695472153704667507591 Wed May 20 10:07:07 2026 R1: 25975957924533227287463 Wed May 20 10:07:07 2026 A0: 1416358729307099421521392592005596251849520 Wed May 20 10:07:07 2026 A1: 204189764050376964343187413371136152 Wed May 20 10:07:07 2026 A2: -19270827473361392012792505263 Wed May 20 10:07:07 2026 A3: -182024126497433033441 Wed May 20 10:07:07 2026 A4: 21253378653372 Wed May 20 10:07:07 2026 A5: 110880 Wed May 20 10:07:07 2026 skew 25615256.88, size 3.886e-17, alpha -7.412, combined = 1.660e-13 rroots = 3 Wed May 20 10:07:07 2026 Wed May 20 10:07:07 2026 commencing linear algebra Wed May 20 10:07:07 2026 using VBITS=64 Wed May 20 10:07:07 2026 skipping matrix build Wed May 20 10:07:13 2026 matrix starts at (0, 0) Wed May 20 10:07:16 2026 matrix is 19020350 x 19020527 (7763.4 MB) with weight 2374249676 (124.83/col) Wed May 20 10:07:16 2026 sparse part has weight 1806883162 (95.00/col) Wed May 20 10:07:16 2026 saving the first 48 matrix rows for later Wed May 20 10:07:18 2026 matrix includes 64 packed rows Wed May 20 10:07:20 2026 matrix is 19020302 x 19020527 (7548.5 MB) with weight 2005231293 (105.42/col) Wed May 20 10:07:20 2026 sparse part has weight 1788589974 (94.03/col) Wed May 20 10:07:20 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Wed May 20 10:07:20 2026 selected card has CUDA arch 12.0 Wed May 20 10:08:45 2026 commencing Lanczos iteration Wed May 20 10:08:45 2026 memory use: 15097.0 MB Wed May 20 10:09:11 2026 checking every 40000 dimensions, checkpointing every 2800000 dimensions Wed May 20 10:09:26 2026 linear algebra at 0.2%, ETA 6h57m Wed May 20 17:09:41 2026 lanczos halted after 300789 iterations (dim = 19020300) Wed May 20 17:09:50 2026 recovered 31 nontrivial dependencies Wed May 20 17:09:50 2026 BLanczosTime: 25363 Wed May 20 17:09:50 2026 elapsed time 07:02:44 Wed May 20 13:12:33 2026 Wed May 20 13:12:33 2026 Wed May 20 13:12:33 2026 Msieve v. 1.54 (SVN unknown) Wed May 20 13:12:33 2026 random seeds: 9cd57ab6 c89cb279 Wed May 20 13:12:33 2026 Using 14 OpenMP threads Wed May 20 13:12:33 2026 factoring 499442995604063258729339225877641538516991725308113591403125463405026157987796526364019158496591062366018892210657130975806069690321722863022738788553781119511524083434168506347 (177 digits) Wed May 20 13:12:34 2026 no P-1/P+1/ECM available, skipping Wed May 20 13:12:34 2026 commencing number field sieve (177-digit input) Wed May 20 13:12:34 2026 R0: -28256816836988695472153704667507591 Wed May 20 13:12:34 2026 R1: 25975957924533227287463 Wed May 20 13:12:34 2026 A0: 1416358729307099421521392592005596251849520 Wed May 20 13:12:34 2026 A1: 204189764050376964343187413371136152 Wed May 20 13:12:34 2026 A2: -19270827473361392012792505263 Wed May 20 13:12:34 2026 A3: -182024126497433033441 Wed May 20 13:12:34 2026 A4: 21253378653372 Wed May 20 13:12:34 2026 A5: 110880 Wed May 20 13:12:34 2026 skew 25615256.88, size 3.886e-17, alpha -7.412, combined = 1.660e-13 rroots = 3 Wed May 20 13:12:34 2026 Wed May 20 13:12:34 2026 commencing square root phase Wed May 20 13:12:34 2026 reading relations for dependency 1 Wed May 20 13:12:44 2026 read 9510010 cycles Wed May 20 13:12:56 2026 cycles contain 32454198 unique relations Wed May 20 13:17:36 2026 read 32454198 relations Wed May 20 13:19:02 2026 multiplying 32454198 relations Wed May 20 13:21:56 2026 multiply complete, coefficients have about 1817.98 million bits Wed May 20 13:22:00 2026 initial square root is modulo 142881373 Wed May 20 13:27:58 2026 sqrtTime: 924 Wed May 20 13:27:58 2026 p59 factor: 20698730899845453030464270569034477948761464153076603717873 Wed May 20 13:27:58 2026 p119 factor: 24129160286237275896418319569151532703748983825579008571749230380154752401126790146288627362997492639971543988305514139 Wed May 20 13:27:58 2026 elapsed time 00:15:25