Tue Dec 23 18:49:29 2025 Tue Dec 23 18:49:29 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Dec 23 18:49:29 2025 random seeds: 3f9cb23d e9d3acc4 Tue Dec 23 18:49:29 2025 MPI process 0 of 1 Tue Dec 23 18:49:29 2025 Using 32 OpenMP threads Tue Dec 23 18:49:29 2025 factoring 3260458303424136585062251560490690267665879796983982445567999833678785180197031631727405573035872080436412727333441284467046870271093959064317813651976946168406212557661819551960324827 (184 digits) Tue Dec 23 18:49:30 2025 searching for 15-digit factors Tue Dec 23 18:49:31 2025 commencing number field sieve (184-digit input) Tue Dec 23 18:49:31 2025 R0: -146887288951029842398118465916678699 Tue Dec 23 18:49:31 2025 R1: 2168467766418511263188023 Tue Dec 23 18:49:31 2025 A0: -7743901133617081637595245553497604152278 Tue Dec 23 18:49:31 2025 A1: -17111781795072977649207814729471257 Tue Dec 23 18:49:31 2025 A2: -66436135146323257260847330888 Tue Dec 23 18:49:31 2025 A3: 8413243717346433798918 Tue Dec 23 18:49:31 2025 A4: 4464320134618190 Tue Dec 23 18:49:31 2025 A5: 238345800 Tue Dec 23 18:49:31 2025 skew 4519142.11, size 6.494e-18, alpha -6.964, combined = 5.563e-14 rroots = 3 Tue Dec 23 18:49:31 2025 Tue Dec 23 18:49:31 2025 commencing relation filtering Tue Dec 23 18:49:31 2025 setting target matrix density to 130.0 Tue Dec 23 18:49:31 2025 estimated available RAM is 257736.5 MB Tue Dec 23 18:49:31 2025 commencing duplicate removal, pass 1 Tue Dec 23 19:07:57 2025 skipped 3 relations with composite factors Tue Dec 23 19:07:57 2025 skipped 465 malformed relations Tue Dec 23 19:07:57 2025 found 89357208 hash collisions in 450802235 relations Tue Dec 23 19:08:34 2025 added 122253 free relations Tue Dec 23 19:08:34 2025 commencing duplicate removal, pass 2 Tue Dec 23 19:23:24 2025 found 90804671 duplicates and 360119817 unique relations Tue Dec 23 19:23:24 2025 memory use: 2643.0 MB Tue Dec 23 19:23:24 2025 reading ideals above 720000 Tue Dec 23 19:23:24 2025 commencing singleton removal, initial pass Tue Dec 23 20:21:30 2025 memory use: 11024.0 MB Tue Dec 23 20:21:31 2025 reading all ideals from disk Tue Dec 23 20:21:43 2025 memory use: 17746.1 MB Tue Dec 23 20:23:43 2025 keeping 336231621 ideals with weight <= 200, target excess is 1811219 Tue Dec 23 20:26:03 2025 commencing in-memory singleton removal Tue Dec 23 20:26:14 2025 begin with 360119817 relations and 336231621 unique ideals Tue Dec 23 20:27:04 2025 reduce to 228991819 relations and 191405082 ideals in 15 passes Tue Dec 23 20:27:04 2025 max relations containing the same ideal: 159 Tue Dec 23 20:30:15 2025 removing 13768126 relations and 11768126 ideals in 2000000 cliques Tue Dec 23 20:30:28 2025 commencing in-memory singleton removal Tue Dec 23 20:30:36 2025 begin with 215223693 relations and 191405082 unique ideals Tue Dec 23 20:31:01 2025 reduce to 214561140 relations and 178966594 ideals in 9 passes Tue Dec 23 20:31:01 2025 max relations containing the same ideal: 152 Tue Dec 23 20:34:05 2025 removing 10360235 relations and 8360235 ideals in 2000000 cliques Tue Dec 23 20:34:17 2025 commencing in-memory singleton removal Tue Dec 23 20:34:23 2025 begin with 204200905 relations and 178966594 unique ideals Tue Dec 23 20:34:41 2025 reduce to 203781038 relations and 170182196 ideals in 8 passes Tue Dec 23 20:34:41 2025 max relations containing the same ideal: 149 Tue Dec 23 20:37:19 2025 removing 9302556 relations and 7302556 ideals in 2000000 cliques Tue Dec 23 20:37:28 2025 commencing in-memory singleton removal Tue Dec 23 20:37:34 2025 begin with 194478482 relations and 170182196 unique ideals Tue Dec 23 20:37:48 2025 reduce to 194117952 relations and 162515542 ideals in 7 passes Tue Dec 23 20:37:48 2025 max relations containing the same ideal: 143 Tue Dec 23 20:40:22 2025 removing 8733207 relations and 6733207 ideals in 2000000 cliques Tue Dec 23 20:40:32 2025 commencing in-memory singleton removal Tue Dec 23 20:40:38 2025 begin with 185384745 relations and 162515542 unique ideals Tue Dec 23 20:40:53 2025 reduce to 185052898 relations and 155447267 ideals in 8 passes Tue Dec 23 20:40:53 2025 max relations containing the same ideal: 137 Tue Dec 23 20:43:15 2025 removing 8368407 relations and 6368407 ideals in 2000000 cliques Tue Dec 23 20:43:24 2025 commencing in-memory singleton removal Tue Dec 23 20:43:29 2025 begin with 176684491 relations and 155447267 unique ideals Tue Dec 23 20:43:44 2025 reduce to 176363499 relations and 148754721 ideals in 8 passes Tue Dec 23 20:43:44 2025 max relations containing the same ideal: 132 Tue Dec 23 20:46:03 2025 removing 8113407 relations and 6113407 ideals in 2000000 cliques Tue Dec 23 20:46:13 2025 commencing in-memory singleton removal Tue Dec 23 20:46:18 2025 begin with 168250092 relations and 148754721 unique ideals Tue Dec 23 20:46:31 2025 reduce to 167935544 relations and 142323432 ideals in 7 passes Tue Dec 23 20:46:31 2025 max relations containing the same ideal: 128 Tue Dec 23 20:49:05 2025 removing 7933837 relations and 5933837 ideals in 2000000 cliques Tue Dec 23 20:49:25 2025 commencing in-memory singleton removal Tue Dec 23 20:49:29 2025 begin with 160001707 relations and 142323432 unique ideals Tue Dec 23 20:49:43 2025 reduce to 159686665 relations and 136071022 ideals in 7 passes Tue Dec 23 20:49:43 2025 max relations containing the same ideal: 124 Tue Dec 23 20:51:54 2025 removing 7814324 relations and 5814324 ideals in 2000000 cliques Tue Dec 23 20:52:03 2025 commencing in-memory singleton removal Tue Dec 23 20:52:06 2025 begin with 151872341 relations and 136071022 unique ideals Tue Dec 23 20:52:18 2025 reduce to 151553553 relations and 129934295 ideals in 7 passes Tue Dec 23 20:52:18 2025 max relations containing the same ideal: 120 Tue Dec 23 20:54:23 2025 removing 7726117 relations and 5726117 ideals in 2000000 cliques Tue Dec 23 20:54:31 2025 commencing in-memory singleton removal Tue Dec 23 20:54:34 2025 begin with 143827436 relations and 129934295 unique ideals Tue Dec 23 20:54:46 2025 reduce to 143501362 relations and 123878293 ideals in 7 passes Tue Dec 23 20:54:46 2025 max relations containing the same ideal: 115 Tue Dec 23 20:56:36 2025 removing 7668884 relations and 5668884 ideals in 2000000 cliques Tue Dec 23 20:56:44 2025 commencing in-memory singleton removal Tue Dec 23 20:56:48 2025 begin with 135832478 relations and 123878293 unique ideals Tue Dec 23 20:56:58 2025 reduce to 135493937 relations and 117866640 ideals in 7 passes Tue Dec 23 20:56:58 2025 max relations containing the same ideal: 110 Tue Dec 23 20:58:43 2025 removing 7638097 relations and 5638097 ideals in 2000000 cliques Tue Dec 23 20:58:51 2025 commencing in-memory singleton removal Tue Dec 23 20:58:53 2025 begin with 127855840 relations and 117866640 unique ideals Tue Dec 23 20:59:02 2025 reduce to 127500387 relations and 111868396 ideals in 7 passes Tue Dec 23 20:59:02 2025 max relations containing the same ideal: 106 Tue Dec 23 21:00:43 2025 removing 7632645 relations and 5632645 ideals in 2000000 cliques Tue Dec 23 21:00:49 2025 commencing in-memory singleton removal Tue Dec 23 21:00:52 2025 begin with 119867742 relations and 111868396 unique ideals Tue Dec 23 21:01:02 2025 reduce to 119492220 relations and 105855136 ideals in 9 passes Tue Dec 23 21:01:02 2025 max relations containing the same ideal: 100 Tue Dec 23 21:02:35 2025 removing 7651917 relations and 5651917 ideals in 2000000 cliques Tue Dec 23 21:02:42 2025 commencing in-memory singleton removal Tue Dec 23 21:02:44 2025 begin with 111840303 relations and 105855136 unique ideals Tue Dec 23 21:02:53 2025 reduce to 111435331 relations and 99792291 ideals in 8 passes Tue Dec 23 21:02:53 2025 max relations containing the same ideal: 98 Tue Dec 23 21:04:22 2025 removing 7693139 relations and 5693139 ideals in 2000000 cliques Tue Dec 23 21:04:28 2025 commencing in-memory singleton removal Tue Dec 23 21:04:31 2025 begin with 103742192 relations and 99792291 unique ideals Tue Dec 23 21:04:38 2025 reduce to 103304982 relations and 93655011 ideals in 7 passes Tue Dec 23 21:04:38 2025 max relations containing the same ideal: 94 Tue Dec 23 21:06:02 2025 removing 7755585 relations and 5755585 ideals in 2000000 cliques Tue Dec 23 21:06:09 2025 commencing in-memory singleton removal Tue Dec 23 21:06:11 2025 begin with 95549397 relations and 93655011 unique ideals Tue Dec 23 21:06:19 2025 reduce to 95067908 relations and 87409938 ideals in 8 passes Tue Dec 23 21:06:19 2025 max relations containing the same ideal: 88 Tue Dec 23 21:07:34 2025 removing 7854031 relations and 5854031 ideals in 2000000 cliques Tue Dec 23 21:07:40 2025 commencing in-memory singleton removal Tue Dec 23 21:07:42 2025 begin with 87213877 relations and 87409938 unique ideals Tue Dec 23 21:07:49 2025 reduce to 86675242 relations and 81007670 ideals in 8 passes Tue Dec 23 21:07:49 2025 max relations containing the same ideal: 82 Tue Dec 23 21:09:01 2025 removing 7986239 relations and 5986239 ideals in 2000000 cliques Tue Dec 23 21:09:07 2025 commencing in-memory singleton removal Tue Dec 23 21:09:08 2025 begin with 78689003 relations and 81007670 unique ideals Tue Dec 23 21:09:14 2025 reduce to 78068094 relations and 74388310 ideals in 9 passes Tue Dec 23 21:09:14 2025 max relations containing the same ideal: 78 Tue Dec 23 21:10:15 2025 removing 6755703 relations and 5176934 ideals in 1578769 cliques Tue Dec 23 21:10:20 2025 commencing in-memory singleton removal Tue Dec 23 21:10:21 2025 begin with 71312391 relations and 74388310 unique ideals Tue Dec 23 21:10:26 2025 reduce to 70823893 relations and 68714404 ideals in 8 passes Tue Dec 23 21:10:26 2025 max relations containing the same ideal: 74 Tue Dec 23 21:11:27 2025 removing 79416 relations and 70942 ideals in 8474 cliques Tue Dec 23 21:11:30 2025 commencing in-memory singleton removal Tue Dec 23 21:11:32 2025 begin with 70744477 relations and 68714404 unique ideals Tue Dec 23 21:11:34 2025 reduce to 70744436 relations and 68643421 ideals in 3 passes Tue Dec 23 21:11:34 2025 max relations containing the same ideal: 74 Tue Dec 23 21:11:48 2025 relations with 0 large ideals: 6226 Tue Dec 23 21:11:48 2025 relations with 1 large ideals: 39583 Tue Dec 23 21:11:48 2025 relations with 2 large ideals: 525133 Tue Dec 23 21:11:48 2025 relations with 3 large ideals: 3004886 Tue Dec 23 21:11:48 2025 relations with 4 large ideals: 9265702 Tue Dec 23 21:11:48 2025 relations with 5 large ideals: 16987085 Tue Dec 23 21:11:48 2025 relations with 6 large ideals: 19362983 Tue Dec 23 21:11:48 2025 relations with 7+ large ideals: 21552838 Tue Dec 23 21:11:48 2025 commencing 2-way merge Tue Dec 23 21:13:12 2025 reduce to 44025159 relation sets and 41924144 unique ideals Tue Dec 23 21:13:13 2025 commencing full merge Tue Dec 23 21:45:32 2025 memory use: 5089.6 MB Tue Dec 23 21:45:39 2025 found 19002719 cycles, need 18926344 Tue Dec 23 21:45:49 2025 weight of 18926344 cycles is about 2460808402 (130.02/cycle) Tue Dec 23 21:45:49 2025 distribution of cycle lengths: Tue Dec 23 21:45:49 2025 1 relations: 1293971 Tue Dec 23 21:45:49 2025 2 relations: 1266700 Tue Dec 23 21:45:49 2025 3 relations: 1300401 Tue Dec 23 21:45:49 2025 4 relations: 1271587 Tue Dec 23 21:45:49 2025 5 relations: 1270100 Tue Dec 23 21:45:49 2025 6 relations: 1239247 Tue Dec 23 21:45:49 2025 7 relations: 1224550 Tue Dec 23 21:45:49 2025 8 relations: 1164963 Tue Dec 23 21:45:49 2025 9 relations: 1118784 Tue Dec 23 21:45:49 2025 10+ relations: 7776041 Tue Dec 23 21:45:49 2025 heaviest cycle: 28 relations Tue Dec 23 21:45:58 2025 commencing cycle optimization Tue Dec 23 21:47:22 2025 start with 169616621 relations Tue Dec 23 21:59:39 2025 pruned 7369049 relations Tue Dec 23 21:59:40 2025 memory use: 4611.7 MB Tue Dec 23 21:59:40 2025 distribution of cycle lengths: Tue Dec 23 21:59:40 2025 1 relations: 1293971 Tue Dec 23 21:59:40 2025 2 relations: 1300342 Tue Dec 23 21:59:40 2025 3 relations: 1354407 Tue Dec 23 21:59:40 2025 4 relations: 1321274 Tue Dec 23 21:59:40 2025 5 relations: 1327235 Tue Dec 23 21:59:40 2025 6 relations: 1295130 Tue Dec 23 21:59:40 2025 7 relations: 1281648 Tue Dec 23 21:59:40 2025 8 relations: 1216196 Tue Dec 23 21:59:40 2025 9 relations: 1166824 Tue Dec 23 21:59:40 2025 10+ relations: 7369317 Tue Dec 23 21:59:40 2025 heaviest cycle: 28 relations Tue Dec 23 22:00:43 2025 RelProcTime: 11472 Tue Dec 23 22:00:43 2025 Tue Dec 23 22:00:43 2025 commencing linear algebra Tue Dec 23 22:00:43 2025 using VBITS=256 Tue Dec 23 22:00:43 2025 stopping after matrix build Tue Dec 23 22:00:43 2025 initialized process (0,0) of 1 x 1 grid Tue Dec 23 22:00:47 2025 read 18926344 cycles Tue Dec 23 22:01:57 2025 cycles contain 69400815 unique relations Tue Dec 23 22:11:34 2025 read 69400815 relations Tue Dec 23 22:11:47 2025 using 20 quadratic characters above 4294917295 Tue Dec 23 22:11:59 2025 building initial matrix Tue Dec 23 22:21:24 2025 Tue Dec 23 22:21:24 2025 Tue Dec 23 22:21:24 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Dec 23 22:21:24 2025 random seeds: 331b43fe 3c904c20 Tue Dec 23 22:21:24 2025 MPI process 0 of 1 Tue Dec 23 22:21:24 2025 Using 64 OpenMP threads Tue Dec 23 22:21:24 2025 factoring 3260458303424136585062251560490690267665879796983982445567999833678785180197031631727405573035872080436412727333441284467046870271093959064317813651976946168406212557661819551960324827 (184 digits) Tue Dec 23 22:21:25 2025 searching for 15-digit factors Tue Dec 23 22:21:25 2025 commencing number field sieve (184-digit input) Tue Dec 23 22:21:25 2025 R0: -146887288951029842398118465916678699 Tue Dec 23 22:21:25 2025 R1: 2168467766418511263188023 Tue Dec 23 22:21:25 2025 A0: -7743901133617081637595245553497604152278 Tue Dec 23 22:21:25 2025 A1: -17111781795072977649207814729471257 Tue Dec 23 22:21:25 2025 A2: -66436135146323257260847330888 Tue Dec 23 22:21:25 2025 A3: 8413243717346433798918 Tue Dec 23 22:21:25 2025 A4: 4464320134618190 Tue Dec 23 22:21:25 2025 A5: 238345800 Tue Dec 23 22:21:25 2025 skew 4519142.11, size 6.494e-18, alpha -6.964, combined = 5.563e-14 rroots = 3 Tue Dec 23 22:21:25 2025 Tue Dec 23 22:21:25 2025 commencing linear algebra Tue Dec 23 22:21:25 2025 using VBITS=256 Tue Dec 23 22:21:25 2025 skipping matrix build Tue Dec 23 22:21:25 2025 initialized process (0,0) of 1 x 1 grid Tue Dec 23 22:45:13 2025 memory use: 9474.2 MB Tue Dec 23 22:45:40 2025 read 18926344 cycles Tue Dec 23 22:45:46 2025 matrix is 18926167 x 18926344 (9582.7 MB) with weight 2882851580 (152.32/col) Tue Dec 23 22:45:46 2025 sparse part has weight 2284943282 (120.73/col) Tue Dec 23 22:55:42 2025 filtering completed in 2 passes Tue Dec 23 22:55:50 2025 matrix is 18925302 x 18925478 (9582.7 MB) with weight 2882808051 (152.32/col) Tue Dec 23 22:55:50 2025 sparse part has weight 2284929591 (120.73/col) Tue Dec 23 22:58:59 2025 BLanczosTime: 3496 Tue Dec 23 22:58:59 2025 elapsed time 04:09:30 Tue Dec 23 23:02:38 2025 Tue Dec 23 23:02:38 2025 Tue Dec 23 23:02:38 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Dec 23 23:02:38 2025 random seeds: d7fcd9c6 9b3da009 Tue Dec 23 23:02:38 2025 MPI process 0 of 1 Tue Dec 23 23:02:38 2025 Using 64 OpenMP threads Tue Dec 23 23:02:38 2025 factoring 3260458303424136585062251560490690267665879796983982445567999833678785180197031631727405573035872080436412727333441284467046870271093959064317813651976946168406212557661819551960324827 (184 digits) Tue Dec 23 23:02:39 2025 searching for 15-digit factors Tue Dec 23 23:02:40 2025 commencing number field sieve (184-digit input) Tue Dec 23 23:02:40 2025 R0: -146887288951029842398118465916678699 Tue Dec 23 23:02:40 2025 R1: 2168467766418511263188023 Tue Dec 23 23:02:40 2025 A0: -7743901133617081637595245553497604152278 Tue Dec 23 23:02:40 2025 A1: -17111781795072977649207814729471257 Tue Dec 23 23:02:40 2025 A2: -66436135146323257260847330888 Tue Dec 23 23:02:40 2025 A3: 8413243717346433798918 Tue Dec 23 23:02:40 2025 A4: 4464320134618190 Tue Dec 23 23:02:40 2025 A5: 238345800 Tue Dec 23 23:02:40 2025 skew 4519142.11, size 6.494e-18, alpha -6.964, combined = 5.563e-14 rroots = 3 Tue Dec 23 23:02:40 2025 Tue Dec 23 23:02:40 2025 commencing linear algebra Tue Dec 23 23:02:40 2025 using VBITS=256 Tue Dec 23 23:02:40 2025 skipping matrix build Tue Dec 23 23:02:40 2025 initialized process (0,0) of 1 x 1 grid Tue Dec 23 23:02:56 2025 matrix starts at (0, 0) Tue Dec 23 23:03:03 2025 matrix is 18925302 x 18925478 (9582.7 MB) with weight 2882808051 (152.32/col) Tue Dec 23 23:03:03 2025 sparse part has weight 2284929591 (120.73/col) Tue Dec 23 23:03:03 2025 saving the first 240 matrix rows for later Tue Dec 23 23:03:11 2025 matrix includes 256 packed rows Tue Dec 23 23:03:24 2025 matrix is 18925062 x 18925478 (8677.1 MB) with weight 2101460257 (111.04/col) Tue Dec 23 23:03:24 2025 sparse part has weight 1971830723 (104.19/col) Tue Dec 23 23:03:24 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Tue Dec 23 23:04:13 2025 commencing Lanczos iteration (64 threads) Tue Dec 23 23:04:13 2025 memory use: 12296.7 MB Tue Dec 23 23:07:06 2025 linear algebra at 0.2%, ETA 29h 7m Tue Dec 23 23:11:20 2025 checking every 10000 dimensions, checkpointing every 660000 dimensions Thu Dec 25 03:41:24 2025 lanczos halted after 74149 iterations (dim = 18925060) Thu Dec 25 03:42:52 2025 recovered 31 nontrivial dependencies Thu Dec 25 03:42:55 2025 BLanczosTime: 103215 Thu Dec 25 03:42:55 2025 Thu Dec 25 03:42:55 2025 commencing square root phase Thu Dec 25 03:42:55 2025 handling dependencies 1 to 64 Thu Dec 25 03:42:55 2025 reading relations for dependency 1 Thu Dec 25 03:42:56 2025 read 9462248 cycles Thu Dec 25 03:43:13 2025 cycles contain 34695736 unique relations Thu Dec 25 03:51:07 2025 read 34695736 relations Thu Dec 25 03:56:40 2025 multiplying 34695736 relations Thu Dec 25 04:04:37 2025 multiply complete, coefficients have about 2286.65 million bits Thu Dec 25 04:04:47 2025 initial square root is modulo 134513 Thu Dec 25 04:34:30 2025 sqrtTime: 3095 Thu Dec 25 04:34:30 2025 p80 factor: 35033569142017006382799318028102583815698788507144367463544841246188433804245657 Thu Dec 25 04:34:30 2025 p104 factor: 93066689557295288418312274942633810228910926382988162174356986756117726349281366892288245934202331921811 Thu Dec 25 04:34:30 2025 elapsed time 29:31:52