Sat Apr 11 18:43:18 2026 Sat Apr 11 18:43:18 2026 Sat Apr 11 18:43:18 2026 Msieve v. 1.54 (SVN unknown) Sat Apr 11 18:43:18 2026 random seeds: 3c111e64 f62698a9 Sat Apr 11 18:43:18 2026 factoring 54330734568747279331748878427963120409296794415851331556523051578723034060679168370921084992369906679008647709631399637519300468781397843203372232249808941240683 (161 digits) Sat Apr 11 18:43:19 2026 no P-1/P+1/ECM available, skipping Sat Apr 11 18:43:19 2026 commencing number field sieve (161-digit input) Sat Apr 11 18:43:19 2026 R0: -20827809240355409229646564820526 Sat Apr 11 18:43:19 2026 R1: 103108193427167524481 Sat Apr 11 18:43:19 2026 A0: -17295619355399943480575101985768328863 Sat Apr 11 18:43:19 2026 A1: 40100842620457328298206091573795 Sat Apr 11 18:43:19 2026 A2: -24149757598613536068582032 Sat Apr 11 18:43:19 2026 A3: 1497988309518623184 Sat Apr 11 18:43:19 2026 A4: 415117102984 Sat Apr 11 18:43:19 2026 A5: 13860 Sat Apr 11 18:43:19 2026 skew 6860170.59, size 1.716e-15, alpha -5.641, combined = 1.547e-12 rroots = 5 Sat Apr 11 18:43:19 2026 Sat Apr 11 18:43:19 2026 commencing relation filtering Sat Apr 11 18:43:19 2026 setting target matrix density to 100.0 Sat Apr 11 18:43:19 2026 estimated available RAM is 7902.4 MB Sat Apr 11 18:43:19 2026 commencing duplicate removal, pass 1 Sat Apr 11 18:55:27 2026 found 5738845 hash collisions in 114979475 relations Sat Apr 11 18:55:53 2026 added 121412 free relations Sat Apr 11 18:55:53 2026 commencing duplicate removal, pass 2 Sat Apr 11 18:56:26 2026 found 2 duplicates and 115100885 unique relations Sat Apr 11 18:56:26 2026 memory use: 378.4 MB Sat Apr 11 18:56:26 2026 reading ideals above 59965440 Sat Apr 11 18:56:26 2026 commencing singleton removal, initial pass Sat Apr 11 19:05:43 2026 memory use: 2756.0 MB Sat Apr 11 19:05:43 2026 reading all ideals from disk Sat Apr 11 19:05:49 2026 memory use: 2000.7 MB Sat Apr 11 19:05:52 2026 commencing in-memory singleton removal Sat Apr 11 19:05:56 2026 begin with 115100885 relations and 107663021 unique ideals Sat Apr 11 19:06:32 2026 reduce to 56844668 relations and 41522195 ideals in 16 passes Sat Apr 11 19:06:32 2026 max relations containing the same ideal: 49 Sat Apr 11 19:06:35 2026 reading ideals above 720000 Sat Apr 11 19:06:35 2026 commencing singleton removal, initial pass Sat Apr 11 19:12:19 2026 memory use: 1378.0 MB Sat Apr 11 19:12:19 2026 reading all ideals from disk Sat Apr 11 19:12:25 2026 memory use: 2077.5 MB Sat Apr 11 19:12:29 2026 keeping 48336366 ideals with weight <= 200, target excess is 304872 Sat Apr 11 19:12:34 2026 commencing in-memory singleton removal Sat Apr 11 19:12:38 2026 begin with 56844668 relations and 48336366 unique ideals Sat Apr 11 19:13:11 2026 reduce to 56833810 relations and 48325508 ideals in 9 passes Sat Apr 11 19:13:11 2026 max relations containing the same ideal: 200 Sat Apr 11 19:13:33 2026 removing 6523560 relations and 5523560 ideals in 1000000 cliques Sat Apr 11 19:13:35 2026 commencing in-memory singleton removal Sat Apr 11 19:13:39 2026 begin with 50310250 relations and 48325508 unique ideals Sat Apr 11 19:14:11 2026 reduce to 49767298 relations and 42247157 ideals in 10 passes Sat Apr 11 19:14:11 2026 max relations containing the same ideal: 190 Sat Apr 11 19:14:30 2026 removing 4895094 relations and 3895094 ideals in 1000000 cliques Sat Apr 11 19:14:31 2026 commencing in-memory singleton removal Sat Apr 11 19:14:34 2026 begin with 44872204 relations and 42247157 unique ideals Sat Apr 11 19:14:53 2026 reduce to 44511842 relations and 37984498 ideals in 8 passes Sat Apr 11 19:14:53 2026 max relations containing the same ideal: 181 Sat Apr 11 19:15:08 2026 removing 4399632 relations and 3399632 ideals in 1000000 cliques Sat Apr 11 19:15:10 2026 commencing in-memory singleton removal Sat Apr 11 19:15:12 2026 begin with 40112210 relations and 37984498 unique ideals Sat Apr 11 19:15:26 2026 reduce to 39785003 relations and 34250860 ideals in 7 passes Sat Apr 11 19:15:26 2026 max relations containing the same ideal: 166 Sat Apr 11 19:15:40 2026 removing 4148051 relations and 3148051 ideals in 1000000 cliques Sat Apr 11 19:15:41 2026 commencing in-memory singleton removal Sat Apr 11 19:15:43 2026 begin with 35636952 relations and 34250860 unique ideals Sat Apr 11 19:15:59 2026 reduce to 35316536 relations and 30775345 ideals in 9 passes Sat Apr 11 19:15:59 2026 max relations containing the same ideal: 154 Sat Apr 11 19:16:11 2026 removing 3993754 relations and 2993754 ideals in 1000000 cliques Sat Apr 11 19:16:13 2026 commencing in-memory singleton removal Sat Apr 11 19:16:14 2026 begin with 31322782 relations and 30775345 unique ideals Sat Apr 11 19:16:25 2026 reduce to 30996167 relations and 27446979 ideals in 7 passes Sat Apr 11 19:16:25 2026 max relations containing the same ideal: 143 Sat Apr 11 19:16:36 2026 removing 3897212 relations and 2897212 ideals in 1000000 cliques Sat Apr 11 19:16:37 2026 commencing in-memory singleton removal Sat Apr 11 19:16:39 2026 begin with 27098955 relations and 27446979 unique ideals Sat Apr 11 19:16:49 2026 reduce to 26751029 relations and 24192279 ideals in 8 passes Sat Apr 11 19:16:49 2026 max relations containing the same ideal: 128 Sat Apr 11 19:16:58 2026 removing 3834821 relations and 2834821 ideals in 1000000 cliques Sat Apr 11 19:17:00 2026 commencing in-memory singleton removal Sat Apr 11 19:17:01 2026 begin with 22916208 relations and 24192279 unique ideals Sat Apr 11 19:17:10 2026 reduce to 22531409 relations and 20960494 ideals in 8 passes Sat Apr 11 19:17:10 2026 max relations containing the same ideal: 114 Sat Apr 11 19:17:18 2026 removing 3796991 relations and 2796991 ideals in 1000000 cliques Sat Apr 11 19:17:19 2026 commencing in-memory singleton removal Sat Apr 11 19:17:20 2026 begin with 18734418 relations and 20960494 unique ideals Sat Apr 11 19:17:28 2026 reduce to 18288994 relations and 17701421 ideals in 9 passes Sat Apr 11 19:17:28 2026 max relations containing the same ideal: 99 Sat Apr 11 19:17:34 2026 removing 1217676 relations and 983755 ideals in 233921 cliques Sat Apr 11 19:17:35 2026 commencing in-memory singleton removal Sat Apr 11 19:17:36 2026 begin with 17071318 relations and 17701421 unique ideals Sat Apr 11 19:17:40 2026 reduce to 17022943 relations and 16668814 ideals in 6 passes Sat Apr 11 19:17:40 2026 max relations containing the same ideal: 96 Sat Apr 11 19:17:49 2026 relations with 0 large ideals: 1023 Sat Apr 11 19:17:49 2026 relations with 1 large ideals: 2799 Sat Apr 11 19:17:49 2026 relations with 2 large ideals: 47987 Sat Apr 11 19:17:49 2026 relations with 3 large ideals: 361877 Sat Apr 11 19:17:49 2026 relations with 4 large ideals: 1433119 Sat Apr 11 19:17:49 2026 relations with 5 large ideals: 3298653 Sat Apr 11 19:17:49 2026 relations with 6 large ideals: 4686397 Sat Apr 11 19:17:49 2026 relations with 7+ large ideals: 7191088 Sat Apr 11 19:17:49 2026 commencing 2-way merge Sat Apr 11 19:17:56 2026 reduce to 10333504 relation sets and 9979375 unique ideals Sat Apr 11 19:17:56 2026 commencing full merge Sat Apr 11 19:20:22 2026 memory use: 1272.2 MB Sat Apr 11 19:20:23 2026 found 4982637 cycles, need 4939575 Sat Apr 11 19:20:24 2026 weight of 4939575 cycles is about 494223810 (100.05/cycle) Sat Apr 11 19:20:24 2026 distribution of cycle lengths: Sat Apr 11 19:20:24 2026 1 relations: 319988 Sat Apr 11 19:20:24 2026 2 relations: 387470 Sat Apr 11 19:20:24 2026 3 relations: 425827 Sat Apr 11 19:20:24 2026 4 relations: 427024 Sat Apr 11 19:20:24 2026 5 relations: 422904 Sat Apr 11 19:20:24 2026 6 relations: 411502 Sat Apr 11 19:20:24 2026 7 relations: 391692 Sat Apr 11 19:20:24 2026 8 relations: 363709 Sat Apr 11 19:20:24 2026 9 relations: 327339 Sat Apr 11 19:20:24 2026 10+ relations: 1462120 Sat Apr 11 19:20:24 2026 heaviest cycle: 25 relations Sat Apr 11 19:20:25 2026 commencing cycle optimization Sat Apr 11 19:20:32 2026 start with 36492015 relations Sat Apr 11 19:21:20 2026 pruned 1253015 relations Sat Apr 11 19:21:20 2026 memory use: 1078.5 MB Sat Apr 11 19:21:20 2026 distribution of cycle lengths: Sat Apr 11 19:21:20 2026 1 relations: 319988 Sat Apr 11 19:21:20 2026 2 relations: 396684 Sat Apr 11 19:21:20 2026 3 relations: 441706 Sat Apr 11 19:21:20 2026 4 relations: 441737 Sat Apr 11 19:21:20 2026 5 relations: 439832 Sat Apr 11 19:21:20 2026 6 relations: 426089 Sat Apr 11 19:21:20 2026 7 relations: 406090 Sat Apr 11 19:21:20 2026 8 relations: 374073 Sat Apr 11 19:21:20 2026 9 relations: 335709 Sat Apr 11 19:21:20 2026 10+ relations: 1357667 Sat Apr 11 19:21:20 2026 heaviest cycle: 25 relations Sat Apr 11 19:21:28 2026 RelProcTime: 2289 Sat Apr 11 19:21:28 2026 elapsed time 00:38:10 Sat Apr 11 19:56:43 2026 Sat Apr 11 19:56:43 2026 Sat Apr 11 19:56:43 2026 Msieve v. 1.54 (SVN unknown) Sat Apr 11 19:56:43 2026 random seeds: 290c54bf b32e1abc Sat Apr 11 19:56:43 2026 factoring 54330734568747279331748878427963120409296794415851331556523051578723034060679168370921084992369906679008647709631399637519300468781397843203372232249808941240683 (161 digits) Sat Apr 11 19:56:44 2026 no P-1/P+1/ECM available, skipping Sat Apr 11 19:56:44 2026 commencing number field sieve (161-digit input) Sat Apr 11 19:56:44 2026 R0: -20827809240355409229646564820526 Sat Apr 11 19:56:44 2026 R1: 103108193427167524481 Sat Apr 11 19:56:44 2026 A0: -17295619355399943480575101985768328863 Sat Apr 11 19:56:44 2026 A1: 40100842620457328298206091573795 Sat Apr 11 19:56:44 2026 A2: -24149757598613536068582032 Sat Apr 11 19:56:44 2026 A3: 1497988309518623184 Sat Apr 11 19:56:44 2026 A4: 415117102984 Sat Apr 11 19:56:44 2026 A5: 13860 Sat Apr 11 19:56:44 2026 skew 6860170.59, size 1.716e-15, alpha -5.641, combined = 1.547e-12 rroots = 5 Sat Apr 11 19:56:44 2026 Sat Apr 11 19:56:44 2026 commencing linear algebra Sat Apr 11 19:56:44 2026 using VBITS=512 Sat Apr 11 19:56:44 2026 read 4939575 cycles Sat Apr 11 19:56:52 2026 cycles contain 16803317 unique relations Sat Apr 11 19:58:07 2026 read 16803317 relations Sat Apr 11 19:58:24 2026 using 20 quadratic characters above 4294917295 Sat Apr 11 19:59:30 2026 building initial matrix Sat Apr 11 20:02:05 2026 memory use: 2198.9 MB Sat Apr 11 20:02:07 2026 read 4939575 cycles Sat Apr 11 20:02:08 2026 matrix is 4939396 x 4939575 (1990.4 MB) with weight 604628017 (122.40/col) Sat Apr 11 20:02:08 2026 sparse part has weight 467442657 (94.63/col) Sat Apr 11 20:02:47 2026 filtering completed in 2 passes Sat Apr 11 20:02:48 2026 matrix is 4939111 x 4939286 (1990.4 MB) with weight 604617118 (122.41/col) Sat Apr 11 20:02:48 2026 sparse part has weight 467439760 (94.64/col) Sat Apr 11 20:02:59 2026 matrix starts at (0, 0) Sat Apr 11 20:03:00 2026 matrix is 4939111 x 4939286 (1990.4 MB) with weight 604617118 (122.41/col) Sat Apr 11 20:03:00 2026 sparse part has weight 467439760 (94.64/col) Sat Apr 11 20:03:00 2026 saving the first 496 matrix rows for later Sat Apr 11 20:03:01 2026 matrix includes 512 packed rows Sat Apr 11 20:03:04 2026 matrix is 4938615 x 4939286 (1867.7 MB) with weight 396023734 (80.18/col) Sat Apr 11 20:03:04 2026 sparse part has weight 371069183 (75.13/col) Sat Apr 11 20:03:04 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sat Apr 11 20:03:04 2026 selected card has CUDA arch 8.6 Sat Apr 11 20:03:31 2026 commencing Lanczos iteration Sat Apr 11 20:03:31 2026 memory use: 5393.6 MB Sat Apr 11 20:03:48 2026 linear algebra at 0.3%, ETA 1h25m Sat Apr 11 20:03:49 2026 checkpointing every 3360000 dimensions Sat Apr 11 21:32:25 2026 lanczos halted after 9662 iterations (dim = 4938614) Sat Apr 11 21:33:26 2026 recovered 30 nontrivial dependencies Sat Apr 11 21:33:26 2026 BLanczosTime: 5802 Sat Apr 11 21:33:26 2026 elapsed time 01:36:43 Sat Apr 11 21:36:59 2026 Sat Apr 11 21:36:59 2026 Sat Apr 11 21:36:59 2026 Msieve v. 1.54 (SVN unknown) Sat Apr 11 21:36:59 2026 random seeds: 4a4ddd17 49adfc0b Sat Apr 11 21:36:59 2026 factoring 54330734568747279331748878427963120409296794415851331556523051578723034060679168370921084992369906679008647709631399637519300468781397843203372232249808941240683 (161 digits) Sat Apr 11 21:36:59 2026 no P-1/P+1/ECM available, skipping Sat Apr 11 21:36:59 2026 commencing number field sieve (161-digit input) Sat Apr 11 21:36:59 2026 R0: -20827809240355409229646564820526 Sat Apr 11 21:36:59 2026 R1: 103108193427167524481 Sat Apr 11 21:36:59 2026 A0: -17295619355399943480575101985768328863 Sat Apr 11 21:36:59 2026 A1: 40100842620457328298206091573795 Sat Apr 11 21:36:59 2026 A2: -24149757598613536068582032 Sat Apr 11 21:36:59 2026 A3: 1497988309518623184 Sat Apr 11 21:36:59 2026 A4: 415117102984 Sat Apr 11 21:36:59 2026 A5: 13860 Sat Apr 11 21:36:59 2026 skew 6860170.59, size 1.716e-15, alpha -5.641, combined = 1.547e-12 rroots = 5 Sat Apr 11 21:36:59 2026 Sat Apr 11 21:36:59 2026 commencing square root phase Sat Apr 11 21:36:59 2026 reading relations for dependency 1 Sat Apr 11 21:37:00 2026 read 2470936 cycles Sat Apr 11 21:37:03 2026 cycles contain 8407118 unique relations Sat Apr 11 21:37:47 2026 read 8407118 relations Sat Apr 11 21:38:18 2026 multiplying 8407118 relations Sat Apr 11 21:44:37 2026 multiply complete, coefficients have about 417.83 million bits Sat Apr 11 21:44:39 2026 initial square root is modulo 31425293 Sat Apr 11 21:51:58 2026 GCD is N, no factor found Sat Apr 11 21:51:58 2026 reading relations for dependency 2 Sat Apr 11 21:51:58 2026 read 2468711 cycles Sat Apr 11 21:52:02 2026 cycles contain 8401818 unique relations Sat Apr 11 21:52:45 2026 read 8401818 relations Sat Apr 11 21:53:15 2026 multiplying 8401818 relations Sat Apr 11 21:59:35 2026 multiply complete, coefficients have about 417.57 million bits Sat Apr 11 21:59:36 2026 initial square root is modulo 31089059 Sat Apr 11 22:06:59 2026 sqrtTime: 1800 Sat Apr 11 22:06:59 2026 p64 factor: 2080521642909090879633465584836823973479903010027618941740262093 Sat Apr 11 22:06:59 2026 p98 factor: 26113996340254019538837486775834500808184536524431222014470434013348347942912927669152739458020631 Sat Apr 11 22:06:59 2026 elapsed time 00:30:00