Fri Sep 4 14:28:28 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Sep 4 14:28:28 2026 random seeds: ac100908 e9663071 Fri Sep 4 14:28:28 2026 factoring 5885421467994184131162345746160938038022934643147019051798078255178213571457100589338096661744607547294998322200037371410240851135397256395454789780905717331444591 (163 digits) Fri Sep 4 14:28:28 2026 no P-1/P+1/ECM available, skipping Fri Sep 4 14:28:28 2026 commencing number field sieve (163-digit input) Fri Sep 4 14:28:28 2026 R0: -43496824568938817060493171399508 Fri Sep 4 14:28:28 2026 R1: 9335649219594889951 Fri Sep 4 14:28:28 2026 A0: -11237053348920056893257766921676604000 Fri Sep 4 14:28:28 2026 A1: -11413630040767331840198899576825 Fri Sep 4 14:28:28 2026 A2: 13664139479434494720379663 Fri Sep 4 14:28:28 2026 A3: -546965201115029986 Fri Sep 4 14:28:28 2026 A4: -3237242875416 Fri Sep 4 14:28:28 2026 A5: 151200 Fri Sep 4 14:28:28 2026 skew 2067237.26, size 9.784e-16, alpha -6.435, combined = 1.155e-12 rroots = 3 Fri Sep 4 14:28:28 2026 Fri Sep 4 14:28:28 2026 commencing relation filtering Fri Sep 4 14:28:28 2026 estimated available RAM is 31871.6 MB Fri Sep 4 14:28:28 2026 commencing duplicate removal, pass 1 Fri Sep 4 14:29:03 2026 error -1 reading relation 3459608 Fri Sep 4 14:29:03 2026 error -1 reading relation 3459609 Fri Sep 4 14:29:27 2026 error -1 reading relation 5863295 Fri Sep 4 14:29:32 2026 error -1 reading relation 6271897 Fri Sep 4 14:29:40 2026 error -1 reading relation 7097727 Fri Sep 4 14:29:44 2026 error -6 reading relation 7513378 Fri Sep 4 14:30:13 2026 error -1 reading relation 10414604 Fri Sep 4 14:31:16 2026 error -1 reading relation 16497297 Fri Sep 4 14:31:16 2026 error -1 reading relation 16566218 Fri Sep 4 14:31:46 2026 error -1 reading relation 19423029 Fri Sep 4 14:32:40 2026 error -1 reading relation 24666807 Fri Sep 4 14:32:47 2026 error -1 reading relation 25384332 Fri Sep 4 14:33:08 2026 error -1 reading relation 27424185 Fri Sep 4 14:33:32 2026 error -1 reading relation 29791682 Fri Sep 4 14:34:38 2026 error -1 reading relation 36351780 Fri Sep 4 14:34:41 2026 error -1 reading relation 36629212 Fri Sep 4 14:34:41 2026 error -1 reading relation 36629213 Fri Sep 4 14:35:00 2026 error -1 reading relation 38490631 Fri Sep 4 14:35:12 2026 error -1 reading relation 39629227 Fri Sep 4 14:35:12 2026 error -1 reading relation 39629228 Fri Sep 4 14:35:17 2026 error -1 reading relation 40128358 Fri Sep 4 14:36:17 2026 error -1 reading relation 45795226 Fri Sep 4 14:37:07 2026 error -1 reading relation 50529447 Fri Sep 4 14:37:18 2026 error -1 reading relation 51629850 Fri Sep 4 14:37:30 2026 error -1 reading relation 52691711 Fri Sep 4 14:37:39 2026 error -1 reading relation 53481584 Fri Sep 4 14:39:14 2026 error -1 reading relation 62400701 Fri Sep 4 14:40:19 2026 error -1 reading relation 68474701 Fri Sep 4 14:40:58 2026 error -1 reading relation 72248642 Fri Sep 4 14:40:59 2026 error -1 reading relation 72422511 Fri Sep 4 14:41:00 2026 error -1 reading relation 72481907 Fri Sep 4 14:41:22 2026 error -1 reading relation 74665606 Fri Sep 4 14:42:20 2026 error -1 reading relation 80031944 Fri Sep 4 14:43:43 2026 error -1 reading relation 87910986 Fri Sep 4 14:44:02 2026 error -1 reading relation 89673993 Fri Sep 4 14:44:48 2026 error -1 reading relation 94404500 Fri Sep 4 14:44:57 2026 error -1 reading relation 95254429 Fri Sep 4 14:45:12 2026 error -1 reading relation 96704714 Fri Sep 4 14:45:48 2026 error -1 reading relation 100344531 Fri Sep 4 14:47:23 2026 skipped 6 malformed relations Fri Sep 4 14:47:23 2026 found 5248216 hash collisions in 109805767 relations Fri Sep 4 14:47:58 2026 added 122103 free relations Fri Sep 4 14:47:58 2026 commencing duplicate removal, pass 2 Fri Sep 4 14:49:11 2026 found 0 duplicates and 109927870 unique relations Fri Sep 4 14:49:11 2026 memory use: 394.4 MB Fri Sep 4 14:49:11 2026 reading ideals above 720000 Fri Sep 4 14:49:11 2026 commencing singleton removal, initial pass Fri Sep 4 15:11:44 2026 memory use: 3012.0 MB Fri Sep 4 15:11:44 2026 reading all ideals from disk Fri Sep 4 15:12:33 2026 memory use: 4955.0 MB Fri Sep 4 15:13:08 2026 keeping 112454271 ideals with weight <= 200, target excess is 579083 Fri Sep 4 15:13:30 2026 commencing in-memory singleton removal Fri Sep 4 15:13:54 2026 begin with 109927870 relations and 112454271 unique ideals Fri Sep 4 15:16:11 2026 reduce to 50842588 relations and 44978827 ideals in 17 passes Fri Sep 4 15:16:11 2026 max relations containing the same ideal: 128 Fri Sep 4 15:17:13 2026 removing 6754255 relations and 5754255 ideals in 1000000 cliques Fri Sep 4 15:17:16 2026 commencing in-memory singleton removal Fri Sep 4 15:17:25 2026 begin with 44088333 relations and 44978827 unique ideals Fri Sep 4 15:18:17 2026 reduce to 43429512 relations and 38549310 ideals in 10 passes Fri Sep 4 15:18:17 2026 max relations containing the same ideal: 111 Fri Sep 4 15:19:07 2026 removing 5106077 relations and 4106077 ideals in 1000000 cliques Fri Sep 4 15:19:10 2026 commencing in-memory singleton removal Fri Sep 4 15:19:18 2026 begin with 38323435 relations and 38549310 unique ideals Fri Sep 4 15:19:57 2026 reduce to 37872219 relations and 33981783 ideals in 9 passes Fri Sep 4 15:19:57 2026 max relations containing the same ideal: 102 Fri Sep 4 15:20:38 2026 removing 4599540 relations and 3599540 ideals in 1000000 cliques Fri Sep 4 15:20:41 2026 commencing in-memory singleton removal Fri Sep 4 15:20:48 2026 begin with 33272679 relations and 33981783 unique ideals Fri Sep 4 15:21:17 2026 reduce to 32855918 relations and 29955428 ideals in 8 passes Fri Sep 4 15:21:17 2026 max relations containing the same ideal: 91 Fri Sep 4 15:21:54 2026 removing 4336164 relations and 3336164 ideals in 1000000 cliques Fri Sep 4 15:21:57 2026 commencing in-memory singleton removal Fri Sep 4 15:22:02 2026 begin with 28519754 relations and 29955428 unique ideals Fri Sep 4 15:22:32 2026 reduce to 28104940 relations and 26193279 ideals in 10 passes Fri Sep 4 15:22:32 2026 max relations containing the same ideal: 82 Fri Sep 4 15:23:02 2026 removing 4173528 relations and 3173528 ideals in 1000000 cliques Fri Sep 4 15:23:05 2026 commencing in-memory singleton removal Fri Sep 4 15:23:10 2026 begin with 23931412 relations and 26193279 unique ideals Fri Sep 4 15:23:33 2026 reduce to 23492866 relations and 22567347 ideals in 9 passes Fri Sep 4 15:23:33 2026 max relations containing the same ideal: 73 Fri Sep 4 15:23:59 2026 removing 1383678 relations and 1129896 ideals in 253782 cliques Fri Sep 4 15:24:01 2026 commencing in-memory singleton removal Fri Sep 4 15:24:05 2026 begin with 22109188 relations and 22567347 unique ideals Fri Sep 4 15:24:23 2026 reduce to 22060552 relations and 21388290 ideals in 8 passes Fri Sep 4 15:24:23 2026 max relations containing the same ideal: 71 Fri Sep 4 15:24:51 2026 relations with 0 large ideals: 1967 Fri Sep 4 15:24:51 2026 relations with 1 large ideals: 10088 Fri Sep 4 15:24:51 2026 relations with 2 large ideals: 145650 Fri Sep 4 15:24:51 2026 relations with 3 large ideals: 887927 Fri Sep 4 15:24:51 2026 relations with 4 large ideals: 2864064 Fri Sep 4 15:24:51 2026 relations with 5 large ideals: 5367884 Fri Sep 4 15:24:51 2026 relations with 6 large ideals: 6143981 Fri Sep 4 15:24:51 2026 relations with 7+ large ideals: 6638991 Fri Sep 4 15:24:51 2026 commencing 2-way merge Fri Sep 4 15:25:26 2026 reduce to 13519097 relation sets and 12846834 unique ideals Fri Sep 4 15:25:26 2026 commencing full merge Fri Sep 4 15:33:43 2026 memory use: 1615.7 MB Fri Sep 4 15:33:46 2026 found 6798776 cycles, need 6709034 Fri Sep 4 15:33:50 2026 weight of 6709034 cycles is about 604290074 (90.07/cycle) Fri Sep 4 15:33:51 2026 distribution of cycle lengths: Fri Sep 4 15:33:51 2026 1 relations: 548986 Fri Sep 4 15:33:51 2026 2 relations: 643385 Fri Sep 4 15:33:51 2026 3 relations: 678965 Fri Sep 4 15:33:51 2026 4 relations: 643217 Fri Sep 4 15:33:51 2026 5 relations: 621980 Fri Sep 4 15:33:51 2026 6 relations: 577022 Fri Sep 4 15:33:51 2026 7 relations: 527618 Fri Sep 4 15:33:51 2026 8 relations: 472357 Fri Sep 4 15:33:51 2026 9 relations: 416545 Fri Sep 4 15:33:51 2026 10+ relations: 1578959 Fri Sep 4 15:33:51 2026 heaviest cycle: 21 relations Fri Sep 4 15:33:53 2026 commencing cycle optimization Fri Sep 4 15:34:16 2026 start with 44117165 relations Fri Sep 4 15:36:41 2026 pruned 1332599 relations Fri Sep 4 15:36:43 2026 memory use: 1360.4 MB Fri Sep 4 15:36:43 2026 distribution of cycle lengths: Fri Sep 4 15:36:43 2026 1 relations: 548986 Fri Sep 4 15:36:43 2026 2 relations: 658812 Fri Sep 4 15:36:43 2026 3 relations: 704977 Fri Sep 4 15:36:43 2026 4 relations: 664083 Fri Sep 4 15:36:43 2026 5 relations: 642530 Fri Sep 4 15:36:43 2026 6 relations: 592745 Fri Sep 4 15:36:43 2026 7 relations: 540893 Fri Sep 4 15:36:43 2026 8 relations: 480707 Fri Sep 4 15:36:43 2026 9 relations: 421910 Fri Sep 4 15:36:43 2026 10+ relations: 1453391 Fri Sep 4 15:36:43 2026 heaviest cycle: 21 relations Fri Sep 4 15:37:03 2026 RelProcTime: 4115 Fri Sep 4 15:37:03 2026 Fri Sep 4 15:37:03 2026 commencing linear algebra Fri Sep 4 15:37:03 2026 using VBITS=256 Fri Sep 4 15:37:04 2026 read 6709034 cycles Fri Sep 4 15:37:20 2026 cycles contain 21643160 unique relations Fri Sep 4 15:41:15 2026 read 21643160 relations Fri Sep 4 15:42:47 2026 using 20 quadratic characters above 4294917295 Fri Sep 4 15:45:11 2026 building initial matrix Fri Sep 4 15:52:17 2026 memory use: 2950.1 MB Fri Sep 4 15:52:32 2026 read 6709034 cycles Fri Sep 4 15:52:33 2026 matrix is 6708856 x 6709034 (2485.4 MB) with weight 766810116 (114.30/col) Fri Sep 4 15:52:33 2026 sparse part has weight 577725016 (86.11/col) Fri Sep 4 15:54:42 2026 filtering completed in 2 passes Fri Sep 4 15:54:45 2026 matrix is 6707636 x 6707813 (2485.3 MB) with weight 766758752 (114.31/col) Fri Sep 4 15:54:45 2026 sparse part has weight 577708852 (86.12/col) Fri Sep 4 15:55:09 2026 matrix starts at (0, 0) Fri Sep 4 15:55:10 2026 matrix is 6707636 x 6707813 (2485.3 MB) with weight 766758752 (114.31/col) Fri Sep 4 15:55:10 2026 sparse part has weight 577708852 (86.12/col) Fri Sep 4 15:55:10 2026 saving the first 240 matrix rows for later Fri Sep 4 15:55:12 2026 matrix includes 256 packed rows Fri Sep 4 15:55:15 2026 matrix is 6707396 x 6707813 (2264.8 MB) with weight 521043132 (77.68/col) Fri Sep 4 15:55:15 2026 sparse part has weight 486367664 (72.51/col) Fri Sep 4 15:55:16 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Fri Sep 4 15:55:16 2026 selected card has CUDA arch 8.6 Fri Sep 4 15:56:48 2026 commencing Lanczos iteration Fri Sep 4 15:56:50 2026 memory use: 5553.0 MB Fri Sep 4 15:57:16 2026 linear algebra at 0.5%, ETA 1h30m Fri Sep 4 15:57:53 2026 checking every 70000 dimensions, checkpointing every 4480000 dimensions Fri Sep 4 17:27:54 2026 lanczos halted after 26281 iterations (dim = 6707396) Fri Sep 4 17:28:32 2026 recovered 34 nontrivial dependencies Fri Sep 4 17:28:32 2026 BLanczosTime: 6689 Fri Sep 4 17:28:32 2026 Fri Sep 4 17:28:32 2026 commencing square root phase Fri Sep 4 17:28:33 2026 handling dependencies 1 to 64 Fri Sep 4 17:28:33 2026 reading relations for dependency 1 Fri Sep 4 17:28:35 2026 read 3353088 cycles Fri Sep 4 17:28:43 2026 cycles contain 10818546 unique relations Fri Sep 4 17:32:05 2026 read 10818546 relations Fri Sep 4 17:33:35 2026 multiplying 10818546 relations Fri Sep 4 17:48:25 2026 multiply complete, coefficients have about 590.28 million bits Fri Sep 4 17:48:30 2026 initial square root is modulo 197741 Fri Sep 4 18:03:50 2026 sqrtTime: 2118 Fri Sep 4 18:03:50 2026 p68 factor: 75454037452868074079385260250775486163471772183501144017692581500591 Fri Sep 4 18:03:50 2026 p95 factor: 78000086763686813211419666261053905814743163215881589139386254019606491555718178589369253384001 Fri Sep 4 18:03:50 2026 elapsed time 03:35:22