Sun Sep 28 05:44:18 2025 Sun Sep 28 05:44:18 2025 Sun Sep 28 05:44:18 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Sep 28 05:44:18 2025 random seeds: 9aef9011 58626234 Sun Sep 28 05:44:18 2025 factoring 13102433853399926835725510127806948060792044589631050649418585829351995966570084062158413518102943707534526598939593072206259159515974303867397900653361197098822352917280141840171380073679172561 (194 digits) Sun Sep 28 05:44:19 2025 searching for 15-digit factors Sun Sep 28 05:44:19 2025 commencing number field sieve (194-digit input) Sun Sep 28 05:44:19 2025 R0: 102221194389905859962894078900730367375382128682 Sun Sep 28 05:44:19 2025 R1: -319720494166241804842291 Sun Sep 28 05:44:19 2025 A0: 1 Sun Sep 28 05:44:19 2025 A1: 3 Sun Sep 28 05:44:19 2025 A2: -3 Sun Sep 28 05:44:19 2025 A3: -4 Sun Sep 28 05:44:19 2025 A4: 1 Sun Sep 28 05:44:19 2025 A5: 1 Sun Sep 28 05:44:19 2025 skew 1.48, size 5.441e-16, alpha 2.379, combined = 6.344e-13 rroots = 5 Sun Sep 28 05:44:19 2025 Sun Sep 28 05:44:19 2025 commencing relation filtering Sun Sep 28 05:44:19 2025 setting target matrix density to 100.0 Sun Sep 28 05:44:19 2025 estimated available RAM is 15938.6 MB Sun Sep 28 05:44:19 2025 commencing duplicate removal, pass 1 Sun Sep 28 06:01:53 2025 error -11 reading relation 122630269 Sun Sep 28 06:03:36 2025 skipped 52 relations with b > 2^32 Sun Sep 28 06:03:36 2025 found 4277038 hash collisions in 138436267 relations Sun Sep 28 06:03:45 2025 added 2926300 free relations Sun Sep 28 06:03:45 2025 commencing duplicate removal, pass 2 Sun Sep 28 06:04:37 2025 found 0 duplicates and 141362567 unique relations Sun Sep 28 06:04:37 2025 memory use: 389.2 MB Sun Sep 28 06:04:37 2025 reading ideals above 88014848 Sun Sep 28 06:04:37 2025 commencing singleton removal, initial pass Sun Sep 28 06:20:40 2025 memory use: 3012.0 MB Sun Sep 28 06:20:40 2025 reading all ideals from disk Sun Sep 28 06:20:45 2025 memory use: 2640.8 MB Sun Sep 28 06:20:55 2025 commencing in-memory singleton removal Sun Sep 28 06:21:04 2025 begin with 141362567 relations and 115331894 unique ideals Sun Sep 28 06:22:37 2025 reduce to 96008193 relations and 66112627 ideals in 14 passes Sun Sep 28 06:22:37 2025 max relations containing the same ideal: 31 Sun Sep 28 06:22:46 2025 reading ideals above 720000 Sun Sep 28 06:22:47 2025 commencing singleton removal, initial pass Sun Sep 28 06:34:44 2025 memory use: 1506.0 MB Sun Sep 28 06:34:44 2025 reading all ideals from disk Sun Sep 28 06:34:51 2025 memory use: 3682.1 MB Sun Sep 28 06:35:09 2025 keeping 75860405 ideals with weight <= 200, target excess is 469730 Sun Sep 28 06:35:29 2025 commencing in-memory singleton removal Sun Sep 28 06:35:43 2025 begin with 96008193 relations and 75860405 unique ideals Sun Sep 28 06:36:12 2025 reduce to 96008136 relations and 75860348 ideals in 2 passes Sun Sep 28 06:36:12 2025 max relations containing the same ideal: 200 Sun Sep 28 06:37:25 2025 removing 8818959 relations and 6818959 ideals in 2000000 cliques Sun Sep 28 06:37:30 2025 commencing in-memory singleton removal Sun Sep 28 06:37:43 2025 begin with 87189177 relations and 75860348 unique ideals Sun Sep 28 06:39:07 2025 reduce to 86510105 relations and 68343948 ideals in 8 passes Sun Sep 28 06:39:07 2025 max relations containing the same ideal: 195 Sun Sep 28 06:40:02 2025 removing 6967871 relations and 4967871 ideals in 2000000 cliques Sun Sep 28 06:40:07 2025 commencing in-memory singleton removal Sun Sep 28 06:40:16 2025 begin with 79542234 relations and 68343948 unique ideals Sun Sep 28 06:41:18 2025 reduce to 79068269 relations and 62890765 ideals in 7 passes Sun Sep 28 06:41:18 2025 max relations containing the same ideal: 185 Sun Sep 28 06:42:09 2025 removing 6474799 relations and 4474799 ideals in 2000000 cliques Sun Sep 28 06:42:13 2025 commencing in-memory singleton removal Sun Sep 28 06:42:22 2025 begin with 72593470 relations and 62890765 unique ideals Sun Sep 28 06:43:08 2025 reduce to 72161683 relations and 57973594 ideals in 6 passes Sun Sep 28 06:43:08 2025 max relations containing the same ideal: 176 Sun Sep 28 06:43:52 2025 removing 6237006 relations and 4237006 ideals in 2000000 cliques Sun Sep 28 06:43:55 2025 commencing in-memory singleton removal Sun Sep 28 06:44:04 2025 begin with 65924677 relations and 57973594 unique ideals Sun Sep 28 06:44:51 2025 reduce to 65497898 relations and 53298946 ideals in 7 passes Sun Sep 28 06:44:51 2025 max relations containing the same ideal: 169 Sun Sep 28 06:45:31 2025 removing 6116715 relations and 4116715 ideals in 2000000 cliques Sun Sep 28 06:45:34 2025 commencing in-memory singleton removal Sun Sep 28 06:45:41 2025 begin with 59381183 relations and 53298946 unique ideals Sun Sep 28 06:46:23 2025 reduce to 58938943 relations and 48727993 ideals in 7 passes Sun Sep 28 06:46:23 2025 max relations containing the same ideal: 158 Sun Sep 28 06:47:01 2025 removing 6056564 relations and 4056564 ideals in 2000000 cliques Sun Sep 28 06:47:03 2025 commencing in-memory singleton removal Sun Sep 28 06:47:10 2025 begin with 52882379 relations and 48727993 unique ideals Sun Sep 28 06:47:46 2025 reduce to 52404562 relations and 44179101 ideals in 7 passes Sun Sep 28 06:47:46 2025 max relations containing the same ideal: 144 Sun Sep 28 06:48:18 2025 removing 6051262 relations and 4051262 ideals in 2000000 cliques Sun Sep 28 06:48:20 2025 commencing in-memory singleton removal Sun Sep 28 06:48:26 2025 begin with 46353300 relations and 44179101 unique ideals Sun Sep 28 06:49:02 2025 reduce to 45818312 relations and 39574741 ideals in 8 passes Sun Sep 28 06:49:02 2025 max relations containing the same ideal: 130 Sun Sep 28 06:49:32 2025 removing 6085876 relations and 4085876 ideals in 2000000 cliques Sun Sep 28 06:49:35 2025 commencing in-memory singleton removal Sun Sep 28 06:49:39 2025 begin with 39732436 relations and 39574741 unique ideals Sun Sep 28 06:50:15 2025 reduce to 39106871 relations and 34838977 ideals in 9 passes Sun Sep 28 06:50:15 2025 max relations containing the same ideal: 118 Sun Sep 28 06:50:39 2025 removing 6178223 relations and 4178223 ideals in 2000000 cliques Sun Sep 28 06:50:42 2025 commencing in-memory singleton removal Sun Sep 28 06:50:46 2025 begin with 32928648 relations and 34838977 unique ideals Sun Sep 28 06:51:11 2025 reduce to 32154524 relations and 29851704 ideals in 8 passes Sun Sep 28 06:51:11 2025 max relations containing the same ideal: 101 Sun Sep 28 06:51:31 2025 removing 5705542 relations and 3947609 ideals in 1757933 cliques Sun Sep 28 06:51:34 2025 commencing in-memory singleton removal Sun Sep 28 06:51:37 2025 begin with 26448982 relations and 29851704 unique ideals Sun Sep 28 06:51:59 2025 reduce to 25615021 relations and 25028756 ideals in 9 passes Sun Sep 28 06:51:59 2025 max relations containing the same ideal: 88 Sun Sep 28 06:52:15 2025 removing 289618 relations and 248240 ideals in 41378 cliques Sun Sep 28 06:52:16 2025 commencing in-memory singleton removal Sun Sep 28 06:52:19 2025 begin with 25325403 relations and 25028756 unique ideals Sun Sep 28 06:52:34 2025 reduce to 25322850 relations and 24777958 ideals in 6 passes Sun Sep 28 06:52:34 2025 max relations containing the same ideal: 88 Sun Sep 28 06:52:41 2025 relations with 0 large ideals: 36786 Sun Sep 28 06:52:41 2025 relations with 1 large ideals: 5808 Sun Sep 28 06:52:41 2025 relations with 2 large ideals: 70533 Sun Sep 28 06:52:41 2025 relations with 3 large ideals: 502915 Sun Sep 28 06:52:41 2025 relations with 4 large ideals: 1953442 Sun Sep 28 06:52:41 2025 relations with 5 large ideals: 4548014 Sun Sep 28 06:52:41 2025 relations with 6 large ideals: 7464113 Sun Sep 28 06:52:41 2025 relations with 7+ large ideals: 10741239 Sun Sep 28 06:52:41 2025 commencing 2-way merge Sun Sep 28 06:53:07 2025 reduce to 16613731 relation sets and 16068839 unique ideals Sun Sep 28 06:53:07 2025 commencing full merge Sun Sep 28 07:01:18 2025 memory use: 2140.3 MB Sun Sep 28 07:01:20 2025 found 7753889 cycles, need 7723039 Sun Sep 28 07:01:23 2025 weight of 7723039 cycles is about 772735809 (100.06/cycle) Sun Sep 28 07:01:23 2025 distribution of cycle lengths: Sun Sep 28 07:01:23 2025 1 relations: 556759 Sun Sep 28 07:01:23 2025 2 relations: 603885 Sun Sep 28 07:01:23 2025 3 relations: 626853 Sun Sep 28 07:01:23 2025 4 relations: 614221 Sun Sep 28 07:01:23 2025 5 relations: 607916 Sun Sep 28 07:01:23 2025 6 relations: 587852 Sun Sep 28 07:01:23 2025 7 relations: 557557 Sun Sep 28 07:01:23 2025 8 relations: 519471 Sun Sep 28 07:01:23 2025 9 relations: 473293 Sun Sep 28 07:01:23 2025 10+ relations: 2575232 Sun Sep 28 07:01:23 2025 heaviest cycle: 28 relations Sun Sep 28 07:01:26 2025 commencing cycle optimization Sun Sep 28 07:01:43 2025 start with 61420759 relations Sun Sep 28 07:04:24 2025 pruned 2568852 relations Sun Sep 28 07:04:24 2025 memory use: 1677.5 MB Sun Sep 28 07:04:24 2025 distribution of cycle lengths: Sun Sep 28 07:04:24 2025 1 relations: 556759 Sun Sep 28 07:04:24 2025 2 relations: 615766 Sun Sep 28 07:04:24 2025 3 relations: 650194 Sun Sep 28 07:04:24 2025 4 relations: 636870 Sun Sep 28 07:04:24 2025 5 relations: 636283 Sun Sep 28 07:04:24 2025 6 relations: 614000 Sun Sep 28 07:04:24 2025 7 relations: 583591 Sun Sep 28 07:04:24 2025 8 relations: 539759 Sun Sep 28 07:04:24 2025 9 relations: 490422 Sun Sep 28 07:04:24 2025 10+ relations: 2399395 Sun Sep 28 07:04:24 2025 heaviest cycle: 28 relations Sun Sep 28 07:04:43 2025 RelProcTime: 4824 Sun Sep 28 07:04:43 2025 Sun Sep 28 07:04:43 2025 commencing linear algebra Sun Sep 28 07:04:43 2025 using VBITS=512 Sun Sep 28 07:04:45 2025 read 7723039 cycles Sun Sep 28 07:05:03 2025 cycles contain 24997327 unique relations Sun Sep 28 07:07:38 2025 read 24997327 relations Sun Sep 28 07:08:31 2025 using 20 quadratic characters above 4294917295 Sun Sep 28 07:10:16 2025 building initial matrix Sun Sep 28 07:16:19 2025 memory use: 3059.6 MB Sun Sep 28 07:16:23 2025 read 7723039 cycles Sun Sep 28 07:16:25 2025 matrix is 7722861 x 7723039 (3104.6 MB) with weight 887893993 (114.97/col) Sun Sep 28 07:16:25 2025 sparse part has weight 728887980 (94.38/col) Sun Sep 28 07:18:23 2025 filtering completed in 2 passes Sun Sep 28 07:18:24 2025 matrix is 7722382 x 7722521 (3104.5 MB) with weight 887877349 (114.97/col) Sun Sep 28 07:18:24 2025 sparse part has weight 728882098 (94.38/col) Sun Sep 28 07:18:55 2025 matrix starts at (0, 0) Sun Sep 28 07:18:56 2025 matrix is 7722382 x 7722521 (3104.5 MB) with weight 887877349 (114.97/col) Sun Sep 28 07:18:56 2025 sparse part has weight 728882098 (94.38/col) Sun Sep 28 07:18:56 2025 saving the first 496 matrix rows for later Sun Sep 28 07:18:59 2025 matrix includes 512 packed rows Sun Sep 28 07:19:07 2025 matrix is 7721886 x 7722521 (2977.5 MB) with weight 628674625 (81.41/col) Sun Sep 28 07:19:07 2025 sparse part has weight 595196879 (77.07/col) Sun Sep 28 10:12:11 2025 Sun Sep 28 10:12:11 2025 Sun Sep 28 10:12:11 2025 Msieve v. 1.54 (SVN unknown) Sun Sep 28 10:12:11 2025 random seeds: 04fedbdb 9fdfe9d4 Sun Sep 28 10:12:11 2025 factoring 13102433853399926835725510127806948060792044589631050649418585829351995966570084062158413518102943707534526598939593072206259159515974303867397900653361197098822352917280141840171380073679172561 (194 digits) Sun Sep 28 10:12:12 2025 searching for 15-digit factors Sun Sep 28 10:12:12 2025 commencing number field sieve (194-digit input) Sun Sep 28 10:12:12 2025 R0: 102221194389905859962894078900730367375382128682 Sun Sep 28 10:12:12 2025 R1: -319720494166241804842291 Sun Sep 28 10:12:12 2025 A0: 1 Sun Sep 28 10:12:12 2025 A1: 3 Sun Sep 28 10:12:12 2025 A2: -3 Sun Sep 28 10:12:12 2025 A3: -4 Sun Sep 28 10:12:12 2025 A4: 1 Sun Sep 28 10:12:12 2025 A5: 1 Sun Sep 28 10:12:12 2025 skew 1.48, size 5.441e-16, alpha 2.379, combined = 6.344e-13 rroots = 5 Sun Sep 28 10:12:12 2025 Sun Sep 28 10:12:12 2025 commencing linear algebra Sun Sep 28 10:12:12 2025 using VBITS=512 Sun Sep 28 10:12:12 2025 skipping matrix build Sun Sep 28 10:12:16 2025 matrix starts at (0, 0) Sun Sep 28 10:12:17 2025 matrix is 7722382 x 7722521 (3104.5 MB) with weight 887877349 (114.97/col) Sun Sep 28 10:12:17 2025 sparse part has weight 728882098 (94.38/col) Sun Sep 28 10:12:17 2025 saving the first 496 matrix rows for later Sun Sep 28 10:12:19 2025 matrix includes 512 packed rows Sun Sep 28 10:12:23 2025 matrix is 7721886 x 7722521 (2977.5 MB) with weight 628674625 (81.41/col) Sun Sep 28 10:12:23 2025 sparse part has weight 595196879 (77.07/col) Sun Sep 28 10:12:23 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Sep 28 10:12:23 2025 selected card has CUDA arch 8.6 Sun Sep 28 10:13:03 2025 commencing Lanczos iteration Sun Sep 28 10:13:04 2025 memory use: 8429.6 MB Sun Sep 28 10:13:30 2025 linear algebra at 0.2%, ETA 3h37m Sun Sep 28 10:13:31 2025 checkpointing every 2120000 dimensions Sun Sep 28 14:22:01 2025 lanczos halted after 15106 iterations (dim = 7721881) Sun Sep 28 14:23:53 2025 recovered 31 nontrivial dependencies Sun Sep 28 14:23:53 2025 BLanczosTime: 15101 Sun Sep 28 14:23:53 2025 elapsed time 04:11:42 Sun Sep 28 14:29:46 2025 Sun Sep 28 14:29:46 2025 Sun Sep 28 14:29:46 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Sep 28 14:29:46 2025 random seeds: 51027e97 b7da5768 Sun Sep 28 14:29:46 2025 factoring 13102433853399926835725510127806948060792044589631050649418585829351995966570084062158413518102943707534526598939593072206259159515974303867397900653361197098822352917280141840171380073679172561 (194 digits) Sun Sep 28 14:29:47 2025 searching for 15-digit factors Sun Sep 28 14:29:48 2025 commencing number field sieve (194-digit input) Sun Sep 28 14:29:48 2025 R0: 102221194389905859962894078900730367375382128682 Sun Sep 28 14:29:48 2025 R1: -319720494166241804842291 Sun Sep 28 14:29:48 2025 A0: 1 Sun Sep 28 14:29:48 2025 A1: 3 Sun Sep 28 14:29:48 2025 A2: -3 Sun Sep 28 14:29:48 2025 A3: -4 Sun Sep 28 14:29:48 2025 A4: 1 Sun Sep 28 14:29:48 2025 A5: 1 Sun Sep 28 14:29:48 2025 skew 1.48, size 5.441e-16, alpha 2.379, combined = 6.344e-13 rroots = 5 Sun Sep 28 14:29:48 2025 Sun Sep 28 14:29:48 2025 commencing square root phase Sun Sep 28 14:29:48 2025 reading relations for dependency 1 Sun Sep 28 14:29:50 2025 read 3861346 cycles Sun Sep 28 14:29:57 2025 cycles contain 12498946 unique relations Sun Sep 28 14:31:03 2025 read 12498946 relations Sun Sep 28 14:32:03 2025 multiplying 12498946 relations Sun Sep 28 14:40:31 2025 multiply complete, coefficients have about 309.33 million bits Sun Sep 28 14:40:33 2025 initial square root is modulo 355171 Sun Sep 28 14:51:31 2025 sqrtTime: 1303 Sun Sep 28 14:51:31 2025 p65 factor: 28036813805984049513863098229013917004878051003053365065788430903 Sun Sep 28 14:51:31 2025 p129 factor: 467329631108203999410184082966537577956106632328901739962185311267115077469652220355460422427237818932502988143125133059966828087 Sun Sep 28 14:51:31 2025 elapsed time 00:21:45