Fri Oct 24 11:28:08 2025 Fri Oct 24 11:28:08 2025 Fri Oct 24 11:28:08 2025 Msieve v. 1.54 (SVN Unversioned directory) Fri Oct 24 11:28:08 2025 random seeds: 5a9bde46 e3d6d602 Fri Oct 24 11:28:08 2025 factoring 4752208103460581129180794016983942875762508924831970142702975348169614319473131722586702767655555564840678146641526139662450502637984740245465365390827544155766182579687932457332203411722058923261760397277859892889 (214 digits) Fri Oct 24 11:28:09 2025 searching for 15-digit factors Fri Oct 24 11:28:10 2025 commencing number field sieve (214-digit input) Fri Oct 24 11:28:10 2025 R0: 30241625879631323162875622209103440379840045402 Fri Oct 24 11:28:10 2025 R1: -173901195739509862528549 Fri Oct 24 11:28:10 2025 A0: 1 Fri Oct 24 11:28:10 2025 A1: 3 Fri Oct 24 11:28:10 2025 A2: -3 Fri Oct 24 11:28:10 2025 A3: -4 Fri Oct 24 11:28:10 2025 A4: 1 Fri Oct 24 11:28:10 2025 A5: 1 Fri Oct 24 11:28:10 2025 skew 1.00, size 8.165e-16, alpha 2.379, combined = 8.210e-13 rroots = 5 Fri Oct 24 11:28:10 2025 Fri Oct 24 11:28:10 2025 commencing relation filtering Fri Oct 24 11:28:10 2025 setting target matrix density to 112.0 Fri Oct 24 11:28:10 2025 estimated available RAM is 15938.6 MB Fri Oct 24 11:28:10 2025 commencing duplicate removal, pass 1 Fri Oct 24 11:46:25 2025 error -15 reading relation 85785449 Fri Oct 24 11:58:23 2025 skipped 56 relations with b > 2^32 Fri Oct 24 11:58:23 2025 found 4756496 hash collisions in 146165816 relations Fri Oct 24 11:58:37 2025 added 2926300 free relations Fri Oct 24 11:58:37 2025 commencing duplicate removal, pass 2 Fri Oct 24 12:00:31 2025 found 0 duplicates and 149092116 unique relations Fri Oct 24 12:00:31 2025 memory use: 389.2 MB Fri Oct 24 12:00:31 2025 reading ideals above 88014848 Fri Oct 24 12:00:31 2025 commencing singleton removal, initial pass Fri Oct 24 12:27:55 2025 memory use: 3012.0 MB Fri Oct 24 12:27:56 2025 reading all ideals from disk Fri Oct 24 12:28:03 2025 memory use: 2710.6 MB Fri Oct 24 12:28:33 2025 commencing in-memory singleton removal Fri Oct 24 12:29:03 2025 begin with 149092116 relations and 116806307 unique ideals Fri Oct 24 12:33:45 2025 reduce to 104077199 relations and 67927427 ideals in 12 passes Fri Oct 24 12:33:45 2025 max relations containing the same ideal: 33 Fri Oct 24 12:34:10 2025 reading ideals above 720000 Fri Oct 24 12:34:10 2025 commencing singleton removal, initial pass Fri Oct 24 13:06:16 2025 memory use: 1506.0 MB Fri Oct 24 13:06:17 2025 reading all ideals from disk Fri Oct 24 13:06:29 2025 memory use: 3963.6 MB Fri Oct 24 13:07:16 2025 keeping 77628197 ideals with weight <= 200, target excess is 516738 Fri Oct 24 13:08:05 2025 commencing in-memory singleton removal Fri Oct 24 13:08:42 2025 begin with 104077199 relations and 77628197 unique ideals Fri Oct 24 13:11:22 2025 reduce to 104077010 relations and 77628008 ideals in 4 passes Fri Oct 24 13:11:22 2025 max relations containing the same ideal: 200 Fri Oct 24 13:14:32 2025 removing 8286392 relations and 6286392 ideals in 2000000 cliques Fri Oct 24 13:14:38 2025 commencing in-memory singleton removal Fri Oct 24 13:15:13 2025 begin with 95790618 relations and 77628008 unique ideals Fri Oct 24 13:19:30 2025 reduce to 95249812 relations and 70787522 ideals in 7 passes Fri Oct 24 13:19:30 2025 max relations containing the same ideal: 197 Fri Oct 24 13:22:12 2025 removing 6565944 relations and 4565944 ideals in 2000000 cliques Fri Oct 24 13:22:18 2025 commencing in-memory singleton removal Fri Oct 24 13:22:50 2025 begin with 88683868 relations and 70787522 unique ideals Fri Oct 24 13:26:46 2025 reduce to 88313708 relations and 65843184 ideals in 7 passes Fri Oct 24 13:26:46 2025 max relations containing the same ideal: 190 Fri Oct 24 13:29:22 2025 removing 6098759 relations and 4098759 ideals in 2000000 cliques Fri Oct 24 13:29:28 2025 commencing in-memory singleton removal Fri Oct 24 13:29:58 2025 begin with 82214949 relations and 65843184 unique ideals Fri Oct 24 13:33:07 2025 reduce to 81888110 relations and 61410356 ideals in 6 passes Fri Oct 24 13:33:07 2025 max relations containing the same ideal: 182 Fri Oct 24 13:35:28 2025 removing 5863701 relations and 3863701 ideals in 2000000 cliques Fri Oct 24 13:35:33 2025 commencing in-memory singleton removal Fri Oct 24 13:36:01 2025 begin with 76024409 relations and 61410356 unique ideals Fri Oct 24 13:38:42 2025 reduce to 75712413 relations and 57227396 ideals in 6 passes Fri Oct 24 13:38:42 2025 max relations containing the same ideal: 173 Fri Oct 24 13:40:51 2025 removing 5716882 relations and 3716882 ideals in 2000000 cliques Fri Oct 24 13:40:56 2025 commencing in-memory singleton removal Fri Oct 24 13:41:19 2025 begin with 69995531 relations and 57227396 unique ideals Fri Oct 24 13:44:08 2025 reduce to 69686172 relations and 53193560 ideals in 7 passes Fri Oct 24 13:44:08 2025 max relations containing the same ideal: 165 Fri Oct 24 13:46:09 2025 removing 5626785 relations and 3626785 ideals in 2000000 cliques Fri Oct 24 13:46:14 2025 commencing in-memory singleton removal Fri Oct 24 13:46:36 2025 begin with 64059387 relations and 53193560 unique ideals Fri Oct 24 13:48:51 2025 reduce to 63740824 relations and 49240166 ideals in 6 passes Fri Oct 24 13:48:51 2025 max relations containing the same ideal: 159 Fri Oct 24 13:50:41 2025 removing 5571804 relations and 3571804 ideals in 2000000 cliques Fri Oct 24 13:50:46 2025 commencing in-memory singleton removal Fri Oct 24 13:51:05 2025 begin with 58169020 relations and 49240166 unique ideals Fri Oct 24 13:53:24 2025 reduce to 57832555 relations and 45322513 ideals in 7 passes Fri Oct 24 13:53:24 2025 max relations containing the same ideal: 146 Fri Oct 24 13:55:04 2025 removing 5543796 relations and 3543796 ideals in 2000000 cliques Fri Oct 24 13:55:10 2025 commencing in-memory singleton removal Fri Oct 24 13:55:24 2025 begin with 52288759 relations and 45322513 unique ideals Fri Oct 24 13:57:08 2025 reduce to 51925612 relations and 41404334 ideals in 6 passes Fri Oct 24 13:57:08 2025 max relations containing the same ideal: 140 Fri Oct 24 13:58:34 2025 removing 5547240 relations and 3547240 ideals in 2000000 cliques Fri Oct 24 13:58:39 2025 commencing in-memory singleton removal Fri Oct 24 13:58:53 2025 begin with 46378372 relations and 41404334 unique ideals Fri Oct 24 14:00:37 2025 reduce to 45974350 relations and 37439536 ideals in 7 passes Fri Oct 24 14:00:37 2025 max relations containing the same ideal: 129 Fri Oct 24 14:01:54 2025 removing 5573378 relations and 3573378 ideals in 2000000 cliques Fri Oct 24 14:01:59 2025 commencing in-memory singleton removal Fri Oct 24 14:02:12 2025 begin with 40400972 relations and 37439536 unique ideals Fri Oct 24 14:03:35 2025 reduce to 39939280 relations and 33387184 ideals in 7 passes Fri Oct 24 14:03:35 2025 max relations containing the same ideal: 113 Fri Oct 24 14:04:44 2025 removing 5621339 relations and 3621339 ideals in 2000000 cliques Fri Oct 24 14:04:48 2025 commencing in-memory singleton removal Fri Oct 24 14:04:57 2025 begin with 34317941 relations and 33387184 unique ideals Fri Oct 24 14:06:09 2025 reduce to 33776271 relations and 29201240 ideals in 7 passes Fri Oct 24 14:06:09 2025 max relations containing the same ideal: 101 Fri Oct 24 14:07:08 2025 removing 5700831 relations and 3700831 ideals in 2000000 cliques Fri Oct 24 14:07:12 2025 commencing in-memory singleton removal Fri Oct 24 14:07:19 2025 begin with 28075440 relations and 29201240 unique ideals Fri Oct 24 14:08:22 2025 reduce to 27414117 relations and 24805405 ideals in 8 passes Fri Oct 24 14:08:22 2025 max relations containing the same ideal: 90 Fri Oct 24 14:09:07 2025 removing 5798932 relations and 3798932 ideals in 2000000 cliques Fri Oct 24 14:09:11 2025 commencing in-memory singleton removal Fri Oct 24 14:09:17 2025 begin with 21615185 relations and 24805405 unique ideals Fri Oct 24 14:10:05 2025 reduce to 20759507 relations and 20095962 ideals in 8 passes Fri Oct 24 14:10:05 2025 max relations containing the same ideal: 72 Fri Oct 24 14:10:37 2025 removing 376803 relations and 312675 ideals in 64128 cliques Fri Oct 24 14:10:39 2025 commencing in-memory singleton removal Fri Oct 24 14:10:45 2025 begin with 20382704 relations and 20095962 unique ideals Fri Oct 24 14:11:19 2025 reduce to 20376807 relations and 19777362 ideals in 6 passes Fri Oct 24 14:11:19 2025 max relations containing the same ideal: 72 Fri Oct 24 14:11:28 2025 relations with 0 large ideals: 41659 Fri Oct 24 14:11:28 2025 relations with 1 large ideals: 8118 Fri Oct 24 14:11:28 2025 relations with 2 large ideals: 99910 Fri Oct 24 14:11:28 2025 relations with 3 large ideals: 632676 Fri Oct 24 14:11:28 2025 relations with 4 large ideals: 2154066 Fri Oct 24 14:11:28 2025 relations with 5 large ideals: 4331591 Fri Oct 24 14:11:28 2025 relations with 6 large ideals: 6102230 Fri Oct 24 14:11:28 2025 relations with 7+ large ideals: 7006557 Fri Oct 24 14:11:28 2025 commencing 2-way merge Fri Oct 24 14:12:07 2025 reduce to 13634784 relation sets and 13035339 unique ideals Fri Oct 24 14:12:07 2025 commencing full merge Fri Oct 24 14:28:27 2025 memory use: 1753.9 MB Fri Oct 24 14:28:31 2025 found 6194722 cycles, need 6179539 Fri Oct 24 14:28:35 2025 weight of 6179539 cycles is about 692419917 (112.05/cycle) Fri Oct 24 14:28:35 2025 distribution of cycle lengths: Fri Oct 24 14:28:35 2025 1 relations: 280353 Fri Oct 24 14:28:35 2025 2 relations: 375448 Fri Oct 24 14:28:35 2025 3 relations: 436993 Fri Oct 24 14:28:35 2025 4 relations: 452822 Fri Oct 24 14:28:35 2025 5 relations: 465417 Fri Oct 24 14:28:35 2025 6 relations: 460667 Fri Oct 24 14:28:35 2025 7 relations: 449022 Fri Oct 24 14:28:35 2025 8 relations: 425213 Fri Oct 24 14:28:35 2025 9 relations: 395784 Fri Oct 24 14:28:35 2025 10+ relations: 2437820 Fri Oct 24 14:28:35 2025 heaviest cycle: 28 relations Fri Oct 24 14:28:38 2025 commencing cycle optimization Fri Oct 24 14:29:23 2025 start with 54997069 relations Fri Oct 24 14:35:10 2025 pruned 2680321 relations Fri Oct 24 14:35:10 2025 memory use: 1411.1 MB Fri Oct 24 14:35:10 2025 distribution of cycle lengths: Fri Oct 24 14:35:10 2025 1 relations: 280353 Fri Oct 24 14:35:10 2025 2 relations: 383646 Fri Oct 24 14:35:10 2025 3 relations: 454699 Fri Oct 24 14:35:10 2025 4 relations: 472085 Fri Oct 24 14:35:10 2025 5 relations: 490006 Fri Oct 24 14:35:10 2025 6 relations: 485271 Fri Oct 24 14:35:10 2025 7 relations: 474651 Fri Oct 24 14:35:10 2025 8 relations: 446964 Fri Oct 24 14:35:10 2025 9 relations: 415849 Fri Oct 24 14:35:10 2025 10+ relations: 2276015 Fri Oct 24 14:35:10 2025 heaviest cycle: 28 relations Fri Oct 24 14:35:40 2025 RelProcTime: 11250 Fri Oct 24 14:35:40 2025 Fri Oct 24 14:35:40 2025 commencing linear algebra Fri Oct 24 14:35:40 2025 using VBITS=512 Fri Oct 24 14:35:42 2025 read 6179539 cycles Fri Oct 24 14:36:19 2025 cycles contain 20062810 unique relations Fri Oct 24 14:39:51 2025 read 20062810 relations Fri Oct 24 14:41:36 2025 using 20 quadratic characters above 4294917295 Fri Oct 24 14:43:44 2025 building initial matrix Fri Oct 24 15:00:30 2025 memory use: 2500.6 MB Fri Oct 24 15:00:42 2025 read 6179539 cycles Fri Oct 24 15:00:44 2025 matrix is 6179362 x 6179539 (2726.7 MB) with weight 778586510 (125.99/col) Fri Oct 24 15:00:44 2025 sparse part has weight 646815987 (104.67/col) Fri Oct 24 15:04:30 2025 filtering completed in 2 passes Fri Oct 24 15:04:33 2025 matrix is 6179229 x 6179368 (2726.7 MB) with weight 778581707 (126.00/col) Fri Oct 24 15:04:33 2025 sparse part has weight 646814433 (104.67/col) Fri Oct 24 15:05:29 2025 matrix starts at (0, 0) Fri Oct 24 15:05:31 2025 matrix is 6179229 x 6179368 (2726.7 MB) with weight 778581707 (126.00/col) Fri Oct 24 15:05:31 2025 sparse part has weight 646814433 (104.67/col) Fri Oct 24 15:05:31 2025 saving the first 496 matrix rows for later Fri Oct 24 15:05:36 2025 matrix includes 512 packed rows Fri Oct 24 15:05:46 2025 matrix is 6178733 x 6179368 (2575.4 MB) with weight 557116669 (90.16/col) Fri Oct 24 15:05:46 2025 sparse part has weight 526825363 (85.26/col) Fri Oct 24 15:43:02 2025 Fri Oct 24 15:43:02 2025 Fri Oct 24 15:43:02 2025 Msieve v. 1.54 (SVN unknown) Fri Oct 24 15:43:02 2025 random seeds: 038472ae e5d36b17 Fri Oct 24 15:43:02 2025 factoring 4752208103460581129180794016983942875762508924831970142702975348169614319473131722586702767655555564840678146641526139662450502637984740245465365390827544155766182579687932457332203411722058923261760397277859892889 (214 digits) Fri Oct 24 15:43:03 2025 no P-1/P+1/ECM available, skipping Fri Oct 24 15:43:03 2025 commencing number field sieve (214-digit input) Fri Oct 24 15:43:03 2025 R0: 30241625879631323162875622209103440379840045402 Fri Oct 24 15:43:03 2025 R1: -173901195739509862528549 Fri Oct 24 15:43:03 2025 A0: 1 Fri Oct 24 15:43:03 2025 A1: 3 Fri Oct 24 15:43:03 2025 A2: -3 Fri Oct 24 15:43:03 2025 A3: -4 Fri Oct 24 15:43:03 2025 A4: 1 Fri Oct 24 15:43:03 2025 A5: 1 Fri Oct 24 15:43:03 2025 skew 1.00, size 8.165e-16, alpha 2.379, combined = 8.210e-13 rroots = 5 Fri Oct 24 15:43:03 2025 Fri Oct 24 15:43:03 2025 commencing linear algebra Fri Oct 24 15:43:03 2025 using VBITS=512 Fri Oct 24 15:43:03 2025 skipping matrix build Fri Oct 24 15:43:04 2025 matrix starts at (0, 0) Fri Oct 24 15:43:05 2025 matrix is 6179229 x 6179368 (2726.7 MB) with weight 778581707 (126.00/col) Fri Oct 24 15:43:05 2025 sparse part has weight 646814433 (104.67/col) Fri Oct 24 15:43:05 2025 saving the first 496 matrix rows for later Fri Oct 24 15:43:07 2025 matrix includes 512 packed rows Fri Oct 24 15:43:10 2025 matrix is 6178733 x 6179368 (2575.4 MB) with weight 557116669 (90.16/col) Fri Oct 24 15:43:10 2025 sparse part has weight 526825363 (85.26/col) Fri Oct 24 15:43:10 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Fri Oct 24 15:43:10 2025 selected card has CUDA arch 8.6 Fri Oct 24 15:43:44 2025 commencing Lanczos iteration Fri Oct 24 15:43:44 2025 memory use: 7130.9 MB Fri Oct 24 15:44:07 2025 linear algebra at 0.2%, ETA 2h27m Fri Oct 24 15:44:08 2025 checkpointing every 2480000 dimensions Fri Oct 24 18:27:00 2025 lanczos halted after 12087 iterations (dim = 6178730) Fri Oct 24 18:28:30 2025 recovered 31 nontrivial dependencies Fri Oct 24 18:28:30 2025 BLanczosTime: 9927 Fri Oct 24 18:28:30 2025 elapsed time 02:45:28 Fri Oct 24 18:28:41 2025 Fri Oct 24 18:28:41 2025 Fri Oct 24 18:28:41 2025 Msieve v. 1.54 (SVN unknown) Fri Oct 24 18:28:41 2025 random seeds: 57b0c65e 630d80dc Fri Oct 24 18:28:41 2025 factoring 4752208103460581129180794016983942875762508924831970142702975348169614319473131722586702767655555564840678146641526139662450502637984740245465365390827544155766182579687932457332203411722058923261760397277859892889 (214 digits) Fri Oct 24 18:28:41 2025 no P-1/P+1/ECM available, skipping Fri Oct 24 18:28:41 2025 commencing number field sieve (214-digit input) Fri Oct 24 18:28:41 2025 R0: 30241625879631323162875622209103440379840045402 Fri Oct 24 18:28:41 2025 R1: -173901195739509862528549 Fri Oct 24 18:28:41 2025 A0: 1 Fri Oct 24 18:28:41 2025 A1: 3 Fri Oct 24 18:28:41 2025 A2: -3 Fri Oct 24 18:28:41 2025 A3: -4 Fri Oct 24 18:28:41 2025 A4: 1 Fri Oct 24 18:28:41 2025 A5: 1 Fri Oct 24 18:28:41 2025 skew 1.00, size 8.165e-16, alpha 2.379, combined = 8.210e-13 rroots = 5 Fri Oct 24 18:28:41 2025 Fri Oct 24 18:28:41 2025 commencing square root phase Fri Oct 24 18:28:41 2025 reading relations for dependency 1 Fri Oct 24 18:28:42 2025 read 3092054 cycles Fri Oct 24 18:28:47 2025 cycles contain 10034402 unique relations Fri Oct 24 18:29:37 2025 read 10034402 relations Fri Oct 24 18:30:13 2025 multiplying 10034402 relations Fri Oct 24 18:33:24 2025 multiply complete, coefficients have about 248.63 million bits Fri Oct 24 18:33:25 2025 initial square root is modulo 836532469 Fri Oct 24 18:37:18 2025 sqrtTime: 517 Fri Oct 24 18:37:18 2025 p63 factor: 249169329601220063202472851960976264892312846288861444802826427 Fri Oct 24 18:37:18 2025 p152 factor: 19072203272634690412466278630246903858669010137956093046929149336034972670305409323239641754934017072296057365864908299295338044761134363621710433067707 Fri Oct 24 18:37:18 2025 elapsed time 00:08:37