Sat Dec 27 11:02:48 2025 Sat Dec 27 11:02:48 2025 Sat Dec 27 11:02:48 2025 Msieve v. 1.54 (SVN unknown) Sat Dec 27 11:02:48 2025 random seeds: a22f0a49 eefdbab7 Sat Dec 27 11:02:48 2025 factoring 1613540918981245178946002004506389759244756121798962189092607101204598728926871292519508994096606593179674319132395459421523709518206486084499200729851128598856011458218411569237881472886440391 (193 digits) Sat Dec 27 11:02:49 2025 no P-1/P+1/ECM available, skipping Sat Dec 27 11:02:49 2025 commencing number field sieve (193-digit input) Sat Dec 27 11:02:49 2025 R0: 89202980794122492566142873090593446023921664 Sat Dec 27 11:02:49 2025 R1: -1 Sat Dec 27 11:02:49 2025 A0: -1 Sat Dec 27 11:02:49 2025 A1: 0 Sat Dec 27 11:02:49 2025 A2: 0 Sat Dec 27 11:02:49 2025 A3: 0 Sat Dec 27 11:02:49 2025 A4: 0 Sat Dec 27 11:02:49 2025 A5: 0 Sat Dec 27 11:02:49 2025 A6: 40 Sat Dec 27 11:02:49 2025 skew 0.70, size 5.454e-13, alpha 0.660, combined = 7.262e-14 rroots = 2 Sat Dec 27 11:02:49 2025 Sat Dec 27 11:02:49 2025 commencing relation filtering Sat Dec 27 11:02:49 2025 setting target matrix density to 96.0 Sat Dec 27 11:02:49 2025 estimated available RAM is 128741.5 MB Sat Dec 27 11:02:49 2025 commencing duplicate removal, pass 1 Sat Dec 27 12:50:55 2025 skipped 2503 relations with b > 2^32 Sat Dec 27 12:50:55 2025 skipped 1 malformed relations Sat Dec 27 12:50:55 2025 found 24489589 hash collisions in 475595261 relations Sat Dec 27 12:51:17 2025 added 1218855 free relations Sat Dec 27 12:51:17 2025 commencing duplicate removal, pass 2 Sat Dec 27 12:58:50 2025 found 0 duplicates and 476814116 unique relations Sat Dec 27 12:58:50 2025 memory use: 1577.5 MB Sat Dec 27 12:58:50 2025 reading ideals above 720000 Sat Dec 27 12:58:50 2025 commencing singleton removal, initial pass Sat Dec 27 17:34:26 2025 memory use: 11024.0 MB Sat Dec 27 17:34:29 2025 reading all ideals from disk Sat Dec 27 17:59:17 2025 memory use: 23455.4 MB Sat Dec 27 18:01:23 2025 keeping 444097449 ideals with weight <= 200, target excess is 2693696 Sat Dec 27 18:03:32 2025 commencing in-memory singleton removal Sat Dec 27 18:06:34 2025 begin with 476814116 relations and 444097449 unique ideals Sat Dec 27 18:15:58 2025 reduce to 277825937 relations and 222204271 ideals in 14 passes Sat Dec 27 18:15:58 2025 max relations containing the same ideal: 150 Sat Dec 27 18:20:12 2025 removing 13511939 relations and 11511939 ideals in 2000000 cliques Sat Dec 27 18:20:23 2025 commencing in-memory singleton removal Sat Dec 27 18:21:54 2025 begin with 264313998 relations and 222204271 unique ideals Sat Dec 27 18:26:10 2025 reduce to 263839132 relations and 210212751 ideals in 9 passes Sat Dec 27 18:26:10 2025 max relations containing the same ideal: 147 Sat Dec 27 18:30:10 2025 removing 10196642 relations and 8196642 ideals in 2000000 cliques Sat Dec 27 18:30:23 2025 commencing in-memory singleton removal Sat Dec 27 18:31:44 2025 begin with 253642490 relations and 210212751 unique ideals Sat Dec 27 18:34:52 2025 reduce to 253335421 relations and 201706575 ideals in 7 passes Sat Dec 27 18:34:52 2025 max relations containing the same ideal: 143 Sat Dec 27 18:38:42 2025 removing 9152983 relations and 7152983 ideals in 2000000 cliques Sat Dec 27 18:38:53 2025 commencing in-memory singleton removal Sat Dec 27 18:40:13 2025 begin with 244182438 relations and 201706575 unique ideals Sat Dec 27 18:43:11 2025 reduce to 243918037 relations and 194287043 ideals in 7 passes Sat Dec 27 18:43:11 2025 max relations containing the same ideal: 139 Sat Dec 27 18:46:51 2025 removing 8576107 relations and 6576107 ideals in 2000000 cliques Sat Dec 27 18:47:00 2025 commencing in-memory singleton removal Sat Dec 27 18:48:16 2025 begin with 235341930 relations and 194287043 unique ideals Sat Dec 27 18:51:36 2025 reduce to 235100258 relations and 187467311 ideals in 8 passes Sat Dec 27 18:51:36 2025 max relations containing the same ideal: 138 Sat Dec 27 18:55:32 2025 removing 8192510 relations and 6192510 ideals in 2000000 cliques Sat Dec 27 18:55:46 2025 commencing in-memory singleton removal Sat Dec 27 18:56:59 2025 begin with 226907748 relations and 187467311 unique ideals Sat Dec 27 18:59:17 2025 reduce to 226676763 relations and 181041830 ideals in 7 passes Sat Dec 27 18:59:17 2025 max relations containing the same ideal: 136 Sat Dec 27 19:02:36 2025 removing 7921115 relations and 5921115 ideals in 2000000 cliques Sat Dec 27 19:02:45 2025 commencing in-memory singleton removal Sat Dec 27 19:03:53 2025 begin with 218755648 relations and 181041830 unique ideals Sat Dec 27 19:05:57 2025 reduce to 218529821 relations and 174893030 ideals in 7 passes Sat Dec 27 19:05:57 2025 max relations containing the same ideal: 131 Sat Dec 27 19:08:57 2025 removing 7714606 relations and 5714606 ideals in 2000000 cliques Sat Dec 27 19:09:05 2025 commencing in-memory singleton removal Sat Dec 27 19:10:07 2025 begin with 210815215 relations and 174893030 unique ideals Sat Dec 27 19:12:30 2025 reduce to 210595753 relations and 168957039 ideals in 8 passes Sat Dec 27 19:12:30 2025 max relations containing the same ideal: 128 Sat Dec 27 19:15:28 2025 removing 7559741 relations and 5559741 ideals in 2000000 cliques Sat Dec 27 19:15:36 2025 commencing in-memory singleton removal Sat Dec 27 19:16:40 2025 begin with 203036012 relations and 168957039 unique ideals Sat Dec 27 19:18:47 2025 reduce to 202817636 relations and 163177005 ideals in 7 passes Sat Dec 27 19:18:47 2025 max relations containing the same ideal: 122 Sat Dec 27 19:21:38 2025 removing 7435648 relations and 5435648 ideals in 2000000 cliques Sat Dec 27 19:21:45 2025 commencing in-memory singleton removal Sat Dec 27 19:22:44 2025 begin with 195381988 relations and 163177005 unique ideals Sat Dec 27 19:24:45 2025 reduce to 195163274 relations and 157520564 ideals in 6 passes Sat Dec 27 19:24:45 2025 max relations containing the same ideal: 121 Sat Dec 27 19:27:37 2025 removing 7342424 relations and 5342424 ideals in 2000000 cliques Sat Dec 27 19:27:44 2025 commencing in-memory singleton removal Sat Dec 27 19:28:40 2025 begin with 187820850 relations and 157520564 unique ideals Sat Dec 27 19:30:29 2025 reduce to 187600728 relations and 151955783 ideals in 7 passes Sat Dec 27 19:30:29 2025 max relations containing the same ideal: 117 Sat Dec 27 19:33:01 2025 removing 7268423 relations and 5268423 ideals in 2000000 cliques Sat Dec 27 19:33:08 2025 commencing in-memory singleton removal Sat Dec 27 19:34:01 2025 begin with 180332305 relations and 151955783 unique ideals Sat Dec 27 19:35:49 2025 reduce to 180107053 relations and 146459873 ideals in 7 passes Sat Dec 27 19:35:49 2025 max relations containing the same ideal: 114 Sat Dec 27 19:38:23 2025 removing 7205602 relations and 5205602 ideals in 2000000 cliques Sat Dec 27 19:38:30 2025 commencing in-memory singleton removal Sat Dec 27 19:39:21 2025 begin with 172901451 relations and 146459873 unique ideals Sat Dec 27 19:41:15 2025 reduce to 172672028 relations and 141022424 ideals in 7 passes Sat Dec 27 19:41:15 2025 max relations containing the same ideal: 109 Sat Dec 27 19:43:33 2025 removing 7162858 relations and 5162858 ideals in 2000000 cliques Sat Dec 27 19:43:39 2025 commencing in-memory singleton removal Sat Dec 27 19:44:29 2025 begin with 165509170 relations and 141022424 unique ideals Sat Dec 27 19:46:03 2025 reduce to 165274344 relations and 135622114 ideals in 6 passes Sat Dec 27 19:46:03 2025 max relations containing the same ideal: 106 Sat Dec 27 19:48:22 2025 removing 7129714 relations and 5129714 ideals in 2000000 cliques Sat Dec 27 19:48:28 2025 commencing in-memory singleton removal Sat Dec 27 19:49:15 2025 begin with 158144630 relations and 135622114 unique ideals Sat Dec 27 19:51:02 2025 reduce to 157902196 relations and 130247203 ideals in 7 passes Sat Dec 27 19:51:02 2025 max relations containing the same ideal: 104 Sat Dec 27 19:53:23 2025 removing 7115374 relations and 5115374 ideals in 2000000 cliques Sat Dec 27 19:53:29 2025 commencing in-memory singleton removal Sat Dec 27 19:54:12 2025 begin with 150786822 relations and 130247203 unique ideals Sat Dec 27 19:55:30 2025 reduce to 150536205 relations and 124878226 ideals in 6 passes Sat Dec 27 19:55:30 2025 max relations containing the same ideal: 100 Sat Dec 27 19:57:40 2025 removing 7097056 relations and 5097056 ideals in 2000000 cliques Sat Dec 27 19:57:46 2025 commencing in-memory singleton removal Sat Dec 27 19:58:29 2025 begin with 143439149 relations and 124878226 unique ideals Sat Dec 27 19:59:45 2025 reduce to 143177543 relations and 119516276 ideals in 6 passes Sat Dec 27 19:59:45 2025 max relations containing the same ideal: 96 Sat Dec 27 20:01:55 2025 removing 7103330 relations and 5103330 ideals in 2000000 cliques Sat Dec 27 20:02:01 2025 commencing in-memory singleton removal Sat Dec 27 20:02:39 2025 begin with 136074213 relations and 119516276 unique ideals Sat Dec 27 20:04:10 2025 reduce to 135801058 relations and 114136171 ideals in 8 passes Sat Dec 27 20:04:10 2025 max relations containing the same ideal: 93 Sat Dec 27 20:06:11 2025 removing 7115598 relations and 5115598 ideals in 2000000 cliques Sat Dec 27 20:06:17 2025 commencing in-memory singleton removal Sat Dec 27 20:06:54 2025 begin with 128685460 relations and 114136171 unique ideals Sat Dec 27 20:08:14 2025 reduce to 128396313 relations and 108727518 ideals in 7 passes Sat Dec 27 20:08:14 2025 max relations containing the same ideal: 90 Sat Dec 27 20:10:07 2025 removing 7132298 relations and 5132298 ideals in 2000000 cliques Sat Dec 27 20:10:13 2025 commencing in-memory singleton removal Sat Dec 27 20:10:48 2025 begin with 121264015 relations and 108727518 unique ideals Sat Dec 27 20:12:05 2025 reduce to 120958212 relations and 103285177 ideals in 7 passes Sat Dec 27 20:12:05 2025 max relations containing the same ideal: 88 Sat Dec 27 20:13:46 2025 removing 7164163 relations and 5164163 ideals in 2000000 cliques Sat Dec 27 20:13:51 2025 commencing in-memory singleton removal Sat Dec 27 20:14:22 2025 begin with 113794049 relations and 103285177 unique ideals Sat Dec 27 20:15:39 2025 reduce to 113465238 relations and 97787323 ideals in 7 passes Sat Dec 27 20:15:39 2025 max relations containing the same ideal: 82 Sat Dec 27 20:17:26 2025 removing 7208918 relations and 5208918 ideals in 2000000 cliques Sat Dec 27 20:17:32 2025 commencing in-memory singleton removal Sat Dec 27 20:18:01 2025 begin with 106256320 relations and 97787323 unique ideals Sat Dec 27 20:19:01 2025 reduce to 105903496 relations and 92220053 ideals in 7 passes Sat Dec 27 20:19:01 2025 max relations containing the same ideal: 79 Sat Dec 27 20:20:32 2025 removing 7268254 relations and 5268254 ideals in 2000000 cliques Sat Dec 27 20:20:37 2025 commencing in-memory singleton removal Sat Dec 27 20:21:03 2025 begin with 98635242 relations and 92220053 unique ideals Sat Dec 27 20:22:18 2025 reduce to 98252061 relations and 86562149 ideals in 8 passes Sat Dec 27 20:22:18 2025 max relations containing the same ideal: 76 Sat Dec 27 20:23:42 2025 removing 7343391 relations and 5343391 ideals in 2000000 cliques Sat Dec 27 20:23:47 2025 commencing in-memory singleton removal Sat Dec 27 20:24:10 2025 begin with 90908670 relations and 86562149 unique ideals Sat Dec 27 20:25:01 2025 reduce to 90483266 relations and 80785787 ideals in 7 passes Sat Dec 27 20:25:01 2025 max relations containing the same ideal: 73 Sat Dec 27 20:26:21 2025 removing 7440983 relations and 5440983 ideals in 2000000 cliques Sat Dec 27 20:26:26 2025 commencing in-memory singleton removal Sat Dec 27 20:26:47 2025 begin with 83042283 relations and 80785787 unique ideals Sat Dec 27 20:27:43 2025 reduce to 82567611 relations and 74861085 ideals in 7 passes Sat Dec 27 20:27:43 2025 max relations containing the same ideal: 69 Sat Dec 27 20:28:51 2025 removing 7564096 relations and 5564096 ideals in 2000000 cliques Sat Dec 27 20:28:55 2025 commencing in-memory singleton removal Sat Dec 27 20:29:15 2025 begin with 75003515 relations and 74861085 unique ideals Sat Dec 27 20:30:08 2025 reduce to 74460262 relations and 68742649 ideals in 8 passes Sat Dec 27 20:30:08 2025 max relations containing the same ideal: 64 Sat Dec 27 20:31:13 2025 removing 7718524 relations and 5718524 ideals in 2000000 cliques Sat Dec 27 20:31:17 2025 commencing in-memory singleton removal Sat Dec 27 20:31:34 2025 begin with 66741738 relations and 68742649 unique ideals Sat Dec 27 20:32:16 2025 reduce to 66102739 relations and 62370396 ideals in 8 passes Sat Dec 27 20:32:16 2025 max relations containing the same ideal: 58 Sat Dec 27 20:33:13 2025 removing 3043474 relations and 2435819 ideals in 607655 cliques Sat Dec 27 20:33:16 2025 commencing in-memory singleton removal Sat Dec 27 20:33:31 2025 begin with 63059265 relations and 62370396 unique ideals Sat Dec 27 20:34:05 2025 reduce to 62957948 relations and 59832431 ideals in 7 passes Sat Dec 27 20:34:05 2025 max relations containing the same ideal: 57 Sat Dec 27 20:35:09 2025 relations with 0 large ideals: 98582 Sat Dec 27 20:35:09 2025 relations with 1 large ideals: 182540 Sat Dec 27 20:35:09 2025 relations with 2 large ideals: 1406299 Sat Dec 27 20:35:09 2025 relations with 3 large ideals: 5656429 Sat Dec 27 20:35:09 2025 relations with 4 large ideals: 12738137 Sat Dec 27 20:35:09 2025 relations with 5 large ideals: 17190609 Sat Dec 27 20:35:09 2025 relations with 6 large ideals: 14396528 Sat Dec 27 20:35:09 2025 relations with 7+ large ideals: 11288824 Sat Dec 27 20:35:09 2025 commencing 2-way merge Sat Dec 27 20:36:21 2025 reduce to 38766642 relation sets and 35641125 unique ideals Sat Dec 27 20:36:22 2025 commencing full merge Sat Dec 27 20:51:24 2025 memory use: 4281.9 MB Sat Dec 27 20:51:30 2025 found 18718890 cycles, need 18305325 Sat Dec 27 20:51:38 2025 weight of 18305325 cycles is about 1757699852 (96.02/cycle) Sat Dec 27 20:51:38 2025 distribution of cycle lengths: Sat Dec 27 20:51:38 2025 1 relations: 1670343 Sat Dec 27 20:51:38 2025 2 relations: 1543495 Sat Dec 27 20:51:38 2025 3 relations: 1558993 Sat Dec 27 20:51:38 2025 4 relations: 1540373 Sat Dec 27 20:51:38 2025 5 relations: 1539795 Sat Dec 27 20:51:38 2025 6 relations: 1476169 Sat Dec 27 20:51:38 2025 7 relations: 1420928 Sat Dec 27 20:51:38 2025 8 relations: 1316665 Sat Dec 27 20:51:38 2025 9 relations: 1195075 Sat Dec 27 20:51:38 2025 10+ relations: 5043489 Sat Dec 27 20:51:38 2025 heaviest cycle: 23 relations Sat Dec 27 20:51:46 2025 commencing cycle optimization Sat Dec 27 20:52:39 2025 start with 127769148 relations Sat Dec 27 20:57:41 2025 pruned 4221629 relations Sat Dec 27 20:57:42 2025 memory use: 3855.4 MB Sat Dec 27 20:57:43 2025 distribution of cycle lengths: Sat Dec 27 20:57:43 2025 1 relations: 1670343 Sat Dec 27 20:57:43 2025 2 relations: 1577110 Sat Dec 27 20:57:43 2025 3 relations: 1615477 Sat Dec 27 20:57:43 2025 4 relations: 1593048 Sat Dec 27 20:57:43 2025 5 relations: 1601234 Sat Dec 27 20:57:43 2025 6 relations: 1531887 Sat Dec 27 20:57:43 2025 7 relations: 1476179 Sat Dec 27 20:57:43 2025 8 relations: 1359330 Sat Dec 27 20:57:43 2025 9 relations: 1226669 Sat Dec 27 20:57:43 2025 10+ relations: 4654048 Sat Dec 27 20:57:43 2025 heaviest cycle: 23 relations Sat Dec 27 20:58:27 2025 RelProcTime: 35738 Sat Dec 27 20:58:37 2025 elapsed time 09:55:49 Sat Dec 27 21:56:57 2025 Sat Dec 27 21:56:57 2025 Sat Dec 27 21:56:57 2025 Msieve v. 1.54 (SVN unknown) Sat Dec 27 21:56:57 2025 random seeds: b43a6bcd 824e8601 Sat Dec 27 21:56:57 2025 factoring 1613540918981245178946002004506389759244756121798962189092607101204598728926871292519508994096606593179674319132395459421523709518206486084499200729851128598856011458218411569237881472886440391 (193 digits) Sat Dec 27 21:56:58 2025 no P-1/P+1/ECM available, skipping Sat Dec 27 21:56:58 2025 commencing number field sieve (193-digit input) Sat Dec 27 21:56:58 2025 R0: 89202980794122492566142873090593446023921664 Sat Dec 27 21:56:58 2025 R1: -1 Sat Dec 27 21:56:58 2025 A0: -1 Sat Dec 27 21:56:58 2025 A1: 0 Sat Dec 27 21:56:58 2025 A2: 0 Sat Dec 27 21:56:58 2025 A3: 0 Sat Dec 27 21:56:58 2025 A4: 0 Sat Dec 27 21:56:58 2025 A5: 0 Sat Dec 27 21:56:58 2025 A6: 40 Sat Dec 27 21:56:58 2025 skew 0.70, size 5.454e-13, alpha 0.660, combined = 7.262e-14 rroots = 2 Sat Dec 27 21:56:58 2025 Sat Dec 27 21:56:58 2025 commencing linear algebra Sat Dec 27 21:56:58 2025 using VBITS=128 Sat Dec 27 21:57:00 2025 read 18305325 cycles Sat Dec 27 21:57:57 2025 cycles contain 61184412 unique relations Sat Dec 27 22:08:00 2025 read 61184412 relations Sat Dec 27 22:10:37 2025 using 20 quadratic characters above 4294917295 Sat Dec 27 22:16:35 2025 building initial matrix Sat Dec 27 22:33:05 2025 memory use: 7770.2 MB Sat Dec 27 22:33:20 2025 read 18305325 cycles Sat Dec 27 22:33:23 2025 matrix is 18305138 x 18305325 (7148.3 MB) with weight 2079646092 (113.61/col) Sat Dec 27 22:33:23 2025 sparse part has weight 1672535427 (91.37/col) Sat Dec 27 22:39:37 2025 filtering completed in 2 passes Sat Dec 27 22:39:41 2025 matrix is 18299280 x 18299464 (7147.8 MB) with weight 2079428659 (113.63/col) Sat Dec 27 22:39:41 2025 sparse part has weight 1672446485 (91.39/col) Sat Dec 27 22:41:21 2025 matrix starts at (0, 0) Sat Dec 27 22:41:24 2025 matrix is 18299280 x 18299464 (7147.8 MB) with weight 2079428659 (113.63/col) Sat Dec 27 22:41:24 2025 sparse part has weight 1672446485 (91.39/col) Sat Dec 27 22:41:24 2025 saving the first 112 matrix rows for later Sat Dec 27 22:41:28 2025 matrix includes 128 packed rows Sat Dec 27 22:41:34 2025 matrix is 18299168 x 18299464 (6690.7 MB) with weight 1619939723 (88.52/col) Sat Dec 27 22:41:34 2025 sparse part has weight 1534342521 (83.85/col) Sat Dec 27 22:41:34 2025 using GPU 0 (Tesla P100-PCIE-16GB) Sat Dec 27 22:41:34 2025 selected card has CUDA arch 6.0 Sat Dec 27 23:47:26 2025 commencing Lanczos iteration Sat Dec 27 23:47:27 2025 memory use: 14079.5 MB Sat Dec 27 23:50:04 2025 linear algebra at 0.2%, ETA 25h46m Sat Dec 27 23:50:43 2025 checking every 10000 dimensions, checkpointing every 720000 dimensions Mon Dec 29 06:49:18 2025 lanczos halted after 143825 iterations (dim = 18299166) Mon Dec 29 06:53:44 2025 recovered 37 nontrivial dependencies Mon Dec 29 06:54:01 2025 BLanczosTime: 118623 Mon Dec 29 06:54:01 2025 Mon Dec 29 06:54:01 2025 commencing square root phase Mon Dec 29 06:54:01 2025 handling dependencies 1 to 64 Mon Dec 29 06:54:01 2025 reading relations for dependency 1 Mon Dec 29 07:42:12 2025 read 9151808 cycles Mon Dec 29 07:42:48 2025 cycles contain 30598418 unique relations Mon Dec 29 07:50:35 2025 read 30598418 relations Mon Dec 29 07:54:25 2025 multiplying 30598418 relations Mon Dec 29 08:29:05 2025 multiply complete, coefficients have about 941.73 million bits Mon Dec 29 08:29:10 2025 initial square root is modulo 281037541 Mon Dec 29 09:00:08 2025 sqrtTime: 7567 Mon Dec 29 09:00:08 2025 p79 factor: 2280917122599847386572760731886195000866121044620188038262057740342140908660797 Mon Dec 29 09:00:08 2025 p114 factor: 707408832611195523949286577551221806745711279907095936616117490542537358821879080131799072060772381186151536914003 Mon Dec 29 09:00:08 2025 elapsed time 35:03:11