Tue Apr 21 08:36:34 2026 Tue Apr 21 08:36:34 2026 Tue Apr 21 08:36:34 2026 Msieve v. 1.54 (SVN unknown) Tue Apr 21 08:36:34 2026 random seeds: edd2dc61 547e0c22 Tue Apr 21 08:36:34 2026 factoring 51143596056283963509042903820743071416168373191323510097376640615103319233628223996516002219965000925066665151384986331072441752574372040881109393069408213916396535827 (167 digits) Tue Apr 21 08:36:35 2026 no P-1/P+1/ECM available, skipping Tue Apr 21 08:36:35 2026 commencing number field sieve (167-digit input) Tue Apr 21 08:36:35 2026 R0: -242312731933835378933943192516796 Tue Apr 21 08:36:35 2026 R1: 267937214962529573953319 Tue Apr 21 08:36:35 2026 A0: -105263753499428577929133219846030333891 Tue Apr 21 08:36:35 2026 A1: -136021962390856758654030762408338 Tue Apr 21 08:36:35 2026 A2: 182202535678336445342280946 Tue Apr 21 08:36:35 2026 A3: 29760271581040866994 Tue Apr 21 08:36:35 2026 A4: -7338252533211 Tue Apr 21 08:36:35 2026 A5: 69300 Tue Apr 21 08:36:35 2026 skew 3650701.01, size 3.335e-16, alpha -6.046, combined = 5.916e-13 rroots = 5 Tue Apr 21 08:36:35 2026 Tue Apr 21 08:36:35 2026 commencing relation filtering Tue Apr 21 08:36:35 2026 setting target matrix density to 84.0 Tue Apr 21 08:36:35 2026 estimated available RAM is 128742.2 MB Tue Apr 21 08:36:35 2026 commencing duplicate removal, pass 1 Tue Apr 21 09:27:57 2026 skipped 1 malformed relations Tue Apr 21 09:27:57 2026 found 11318613 hash collisions in 228315028 relations Tue Apr 21 09:28:46 2026 added 122092 free relations Tue Apr 21 09:28:46 2026 commencing duplicate removal, pass 2 Tue Apr 21 09:37:59 2026 found 0 duplicates and 228437120 unique relations Tue Apr 21 09:37:59 2026 memory use: 788.8 MB Tue Apr 21 09:37:59 2026 reading ideals above 720000 Tue Apr 21 09:38:00 2026 commencing singleton removal, initial pass Tue Apr 21 10:39:43 2026 memory use: 6024.0 MB Tue Apr 21 10:39:44 2026 reading all ideals from disk Tue Apr 21 10:41:36 2026 memory use: 10480.0 MB Tue Apr 21 10:42:15 2026 keeping 227516084 ideals with weight <= 200, target excess is 1113186 Tue Apr 21 10:43:02 2026 commencing in-memory singleton removal Tue Apr 21 10:44:08 2026 begin with 228437120 relations and 227516084 unique ideals Tue Apr 21 10:49:00 2026 reduce to 116275078 relations and 100404266 ideals in 18 passes Tue Apr 21 10:49:00 2026 max relations containing the same ideal: 136 Tue Apr 21 10:50:43 2026 removing 13345706 relations and 11345706 ideals in 2000000 cliques Tue Apr 21 10:50:49 2026 commencing in-memory singleton removal Tue Apr 21 10:51:17 2026 begin with 102929372 relations and 100404266 unique ideals Tue Apr 21 10:53:00 2026 reduce to 101680412 relations and 87781216 ideals in 10 passes Tue Apr 21 10:53:00 2026 max relations containing the same ideal: 127 Tue Apr 21 10:54:29 2026 removing 10132668 relations and 8132668 ideals in 2000000 cliques Tue Apr 21 10:54:35 2026 commencing in-memory singleton removal Tue Apr 21 10:54:59 2026 begin with 91547744 relations and 87781216 unique ideals Tue Apr 21 10:56:23 2026 reduce to 90697506 relations and 78780691 ideals in 9 passes Tue Apr 21 10:56:23 2026 max relations containing the same ideal: 118 Tue Apr 21 10:57:43 2026 removing 9176179 relations and 7176179 ideals in 2000000 cliques Tue Apr 21 10:57:48 2026 commencing in-memory singleton removal Tue Apr 21 10:58:10 2026 begin with 81521327 relations and 78780691 unique ideals Tue Apr 21 10:59:33 2026 reduce to 80734935 relations and 70801604 ideals in 10 passes Tue Apr 21 10:59:33 2026 max relations containing the same ideal: 109 Tue Apr 21 11:00:44 2026 removing 8724175 relations and 6724175 ideals in 2000000 cliques Tue Apr 21 11:00:49 2026 commencing in-memory singleton removal Tue Apr 21 11:01:08 2026 begin with 72010760 relations and 70801604 unique ideals Tue Apr 21 11:02:14 2026 reduce to 71213125 relations and 63261430 ideals in 9 passes Tue Apr 21 11:02:14 2026 max relations containing the same ideal: 98 Tue Apr 21 11:03:19 2026 removing 8485205 relations and 6485205 ideals in 2000000 cliques Tue Apr 21 11:03:24 2026 commencing in-memory singleton removal Tue Apr 21 11:03:40 2026 begin with 62727920 relations and 63261430 unique ideals Tue Apr 21 11:04:28 2026 reduce to 61867987 relations and 55894361 ideals in 8 passes Tue Apr 21 11:04:28 2026 max relations containing the same ideal: 91 Tue Apr 21 11:05:26 2026 removing 8379612 relations and 6379612 ideals in 2000000 cliques Tue Apr 21 11:05:31 2026 commencing in-memory singleton removal Tue Apr 21 11:05:45 2026 begin with 53488375 relations and 55894361 unique ideals Tue Apr 21 11:06:32 2026 reduce to 52510738 relations and 48509061 ideals in 9 passes Tue Apr 21 11:06:32 2026 max relations containing the same ideal: 82 Tue Apr 21 11:07:20 2026 removing 8388494 relations and 6388494 ideals in 2000000 cliques Tue Apr 21 11:07:24 2026 commencing in-memory singleton removal Tue Apr 21 11:07:36 2026 begin with 44122244 relations and 48509061 unique ideals Tue Apr 21 11:08:19 2026 reduce to 42939190 relations and 40897191 ideals in 10 passes Tue Apr 21 11:08:19 2026 max relations containing the same ideal: 72 Tue Apr 21 11:08:58 2026 removing 4076702 relations and 3325999 ideals in 750703 cliques Tue Apr 21 11:09:01 2026 commencing in-memory singleton removal Tue Apr 21 11:09:11 2026 begin with 38862488 relations and 40897191 unique ideals Tue Apr 21 11:09:44 2026 reduce to 38552624 relations and 37256303 ideals in 9 passes Tue Apr 21 11:09:44 2026 max relations containing the same ideal: 66 Tue Apr 21 11:10:30 2026 relations with 0 large ideals: 4097 Tue Apr 21 11:10:30 2026 relations with 1 large ideals: 39232 Tue Apr 21 11:10:30 2026 relations with 2 large ideals: 474801 Tue Apr 21 11:10:30 2026 relations with 3 large ideals: 2440145 Tue Apr 21 11:10:30 2026 relations with 4 large ideals: 6679527 Tue Apr 21 11:10:30 2026 relations with 5 large ideals: 10636135 Tue Apr 21 11:10:30 2026 relations with 6 large ideals: 10196879 Tue Apr 21 11:10:30 2026 relations with 7+ large ideals: 8081808 Tue Apr 21 11:10:30 2026 commencing 2-way merge Tue Apr 21 11:11:22 2026 reduce to 22678726 relation sets and 21382405 unique ideals Tue Apr 21 11:11:22 2026 commencing full merge Tue Apr 21 11:20:27 2026 memory use: 2377.8 MB Tue Apr 21 11:20:31 2026 found 11186887 cycles, need 11012605 Tue Apr 21 11:20:37 2026 weight of 11012605 cycles is about 925336111 (84.03/cycle) Tue Apr 21 11:20:37 2026 distribution of cycle lengths: Tue Apr 21 11:20:37 2026 1 relations: 1258360 Tue Apr 21 11:20:37 2026 2 relations: 1087092 Tue Apr 21 11:20:37 2026 3 relations: 1105750 Tue Apr 21 11:20:37 2026 4 relations: 1045290 Tue Apr 21 11:20:37 2026 5 relations: 1005860 Tue Apr 21 11:20:37 2026 6 relations: 916382 Tue Apr 21 11:20:37 2026 7 relations: 832582 Tue Apr 21 11:20:37 2026 8 relations: 751728 Tue Apr 21 11:20:37 2026 9 relations: 654849 Tue Apr 21 11:20:37 2026 10+ relations: 2354712 Tue Apr 21 11:20:37 2026 heaviest cycle: 21 relations Tue Apr 21 11:20:43 2026 commencing cycle optimization Tue Apr 21 11:21:11 2026 start with 68560262 relations Tue Apr 21 11:23:35 2026 pruned 1649801 relations Tue Apr 21 11:23:37 2026 memory use: 2251.2 MB Tue Apr 21 11:23:37 2026 distribution of cycle lengths: Tue Apr 21 11:23:37 2026 1 relations: 1258360 Tue Apr 21 11:23:37 2026 2 relations: 1112078 Tue Apr 21 11:23:37 2026 3 relations: 1142175 Tue Apr 21 11:23:37 2026 4 relations: 1070986 Tue Apr 21 11:23:37 2026 5 relations: 1032008 Tue Apr 21 11:23:37 2026 6 relations: 934790 Tue Apr 21 11:23:37 2026 7 relations: 849157 Tue Apr 21 11:23:37 2026 8 relations: 759037 Tue Apr 21 11:23:37 2026 9 relations: 657758 Tue Apr 21 11:23:37 2026 10+ relations: 2196256 Tue Apr 21 11:23:37 2026 heaviest cycle: 21 relations Tue Apr 21 11:24:07 2026 RelProcTime: 10052 Tue Apr 21 11:24:09 2026 Tue Apr 21 11:24:09 2026 commencing linear algebra Tue Apr 21 11:24:09 2026 using VBITS=128 Tue Apr 21 11:24:11 2026 read 11012605 cycles Tue Apr 21 11:24:40 2026 cycles contain 37501590 unique relations Tue Apr 21 11:31:05 2026 read 37501590 relations Tue Apr 21 11:32:21 2026 using 20 quadratic characters above 4294917295 Tue Apr 21 11:36:26 2026 building initial matrix Tue Apr 21 11:47:28 2026 memory use: 5084.2 MB Tue Apr 21 11:47:37 2026 read 11012605 cycles Tue Apr 21 11:47:39 2026 matrix is 11012412 x 11012605 (3903.9 MB) with weight 1194982577 (108.51/col) Tue Apr 21 11:47:39 2026 sparse part has weight 891233902 (80.93/col) Tue Apr 21 11:50:40 2026 filtering completed in 2 passes Tue Apr 21 11:50:43 2026 matrix is 11001564 x 11001756 (3902.9 MB) with weight 1194552877 (108.58/col) Tue Apr 21 11:50:43 2026 sparse part has weight 891101694 (81.00/col) Tue Apr 21 11:51:48 2026 matrix starts at (0, 0) Tue Apr 21 11:51:51 2026 matrix is 11001564 x 11001756 (3902.9 MB) with weight 1194552877 (108.58/col) Tue Apr 21 11:51:51 2026 sparse part has weight 891101694 (81.00/col) Tue Apr 21 11:51:51 2026 saving the first 112 matrix rows for later Tue Apr 21 11:51:54 2026 matrix includes 128 packed rows Tue Apr 21 11:51:58 2026 matrix is 11001452 x 11001756 (3603.4 MB) with weight 877927769 (79.80/col) Tue Apr 21 11:51:58 2026 sparse part has weight 812581956 (73.86/col) Tue Apr 21 11:51:58 2026 using GPU 0 (Tesla P100-PCIE-16GB) Tue Apr 21 11:51:58 2026 selected card has CUDA arch 6.0 Tue Apr 21 11:54:34 2026 commencing Lanczos iteration Tue Apr 21 11:54:35 2026 memory use: 7626.4 MB Tue Apr 21 11:56:51 2026 linear algebra at 0.3%, ETA 13h34m Tue Apr 21 11:57:24 2026 checking every 10000 dimensions, checkpointing every 820000 dimensions Wed Apr 22 01:20:54 2026 lanczos halted after 86471 iterations (dim = 11001452) Wed Apr 22 01:21:20 2026 recovered 30 nontrivial dependencies Wed Apr 22 01:21:21 2026 BLanczosTime: 50232 Wed Apr 22 01:21:21 2026 Wed Apr 22 01:21:21 2026 commencing square root phase Wed Apr 22 01:21:21 2026 handling dependencies 1 to 64 Wed Apr 22 01:21:21 2026 reading relations for dependency 1 Wed Apr 22 01:21:25 2026 read 5497920 cycles Wed Apr 22 01:21:40 2026 cycles contain 18740832 unique relations Wed Apr 22 01:24:58 2026 read 18740832 relations Wed Apr 22 01:27:25 2026 multiplying 18740832 relations Wed Apr 22 02:00:30 2026 multiply complete, coefficients have about 1031.50 million bits Wed Apr 22 02:00:42 2026 initial square root is modulo 1794970627 Wed Apr 22 02:34:42 2026 sqrtTime: 4401 Wed Apr 22 02:34:42 2026 p73 factor: 2513993820994441362701229875795295376048723182057555631160928442643880331 Wed Apr 22 02:34:42 2026 p95 factor: 20343564741162920307274325960674202161524769929555963279128906027505985369538628214037645784217 Wed Apr 22 02:34:42 2026 elapsed time 17:58:08