Sat Jun 14 09:55:14 2025 Msieve v. 1.54 (SVN unknown) Sat Jun 14 09:55:14 2025 random seeds: 273c0ac9 b9f25658 Sat Jun 14 09:55:14 2025 factoring 20521476129824003358965734451366538649005157690709117786583112985521271968299142298688274094001473300473041642929883550962690117561571912419322612252106142143487358240822850182327365620396861 (191 digits) Sat Jun 14 09:55:16 2025 no P-1/P+1/ECM available, skipping Sat Jun 14 09:55:16 2025 commencing number field sieve (191-digit input) Sat Jun 14 09:55:16 2025 R0: 89202980794122492566142873090593446023921664 Sat Jun 14 09:55:16 2025 R1: -1 Sat Jun 14 09:55:16 2025 A0: -1 Sat Jun 14 09:55:16 2025 A1: 0 Sat Jun 14 09:55:16 2025 A2: 0 Sat Jun 14 09:55:16 2025 A3: 0 Sat Jun 14 09:55:16 2025 A4: 0 Sat Jun 14 09:55:16 2025 A5: 0 Sat Jun 14 09:55:16 2025 A6: 5 Sat Jun 14 09:55:16 2025 skew 0.99, size 4.826e-13, alpha 2.301, combined = 6.690e-14 rroots = 2 Sat Jun 14 09:55:16 2025 Sat Jun 14 09:55:16 2025 commencing relation filtering Sat Jun 14 09:55:16 2025 setting target matrix density to 110.0 Sat Jun 14 09:55:16 2025 estimated available RAM is 128741.5 MB Sat Jun 14 09:55:16 2025 commencing duplicate removal, pass 1 Sat Jun 14 11:34:43 2025 error -11 reading relation 405062194 Sat Jun 14 11:38:59 2025 error -15 reading relation 422310509 Sat Jun 14 11:44:48 2025 skipped 1341 relations with b > 2^32 Sat Jun 14 11:44:48 2025 skipped 2 relations with composite factors Sat Jun 14 11:44:48 2025 skipped 4 malformed relations Sat Jun 14 11:44:48 2025 found 71508992 hash collisions in 445957114 relations Sat Jun 14 11:45:16 2025 added 1218700 free relations Sat Jun 14 11:45:16 2025 commencing duplicate removal, pass 2 Sat Jun 14 11:51:03 2025 found 1 duplicates and 447175813 unique relations Sat Jun 14 11:51:03 2025 memory use: 2515.0 MB Sat Jun 14 11:51:04 2025 reading ideals above 720000 Sat Jun 14 11:51:04 2025 commencing singleton removal, initial pass Sat Jun 14 14:08:19 2025 memory use: 11024.0 MB Sat Jun 14 14:08:20 2025 reading all ideals from disk Sat Jun 14 14:10:21 2025 memory use: 22037.2 MB Sat Jun 14 14:12:26 2025 keeping 434630687 ideals with weight <= 200, target excess is 2377252 Sat Jun 14 14:14:54 2025 commencing in-memory singleton removal Sat Jun 14 14:17:50 2025 begin with 447175813 relations and 434630687 unique ideals Sat Jun 14 14:32:07 2025 reduce to 240696667 relations and 202083151 ideals in 15 passes Sat Jun 14 14:32:07 2025 max relations containing the same ideal: 143 Sat Jun 14 14:36:31 2025 removing 14812657 relations and 12812657 ideals in 2000000 cliques Sat Jun 14 14:36:46 2025 commencing in-memory singleton removal Sat Jun 14 14:37:54 2025 begin with 225884010 relations and 202083151 unique ideals Sat Jun 14 14:41:24 2025 reduce to 225194687 relations and 188573334 ideals in 8 passes Sat Jun 14 14:41:24 2025 max relations containing the same ideal: 136 Sat Jun 14 14:45:01 2025 removing 11123449 relations and 9123449 ideals in 2000000 cliques Sat Jun 14 14:45:14 2025 commencing in-memory singleton removal Sat Jun 14 14:46:18 2025 begin with 214071238 relations and 188573334 unique ideals Sat Jun 14 14:49:35 2025 reduce to 213631425 relations and 179005851 ideals in 8 passes Sat Jun 14 14:49:35 2025 max relations containing the same ideal: 131 Sat Jun 14 14:52:57 2025 removing 9969273 relations and 7969273 ideals in 2000000 cliques Sat Jun 14 14:53:08 2025 commencing in-memory singleton removal Sat Jun 14 14:54:08 2025 begin with 203662152 relations and 179005851 unique ideals Sat Jun 14 14:57:12 2025 reduce to 203283867 relations and 170654810 ideals in 8 passes Sat Jun 14 14:57:12 2025 max relations containing the same ideal: 128 Sat Jun 14 15:00:26 2025 removing 9339764 relations and 7339764 ideals in 2000000 cliques Sat Jun 14 15:00:39 2025 commencing in-memory singleton removal Sat Jun 14 15:01:35 2025 begin with 193944103 relations and 170654810 unique ideals Sat Jun 14 15:04:30 2025 reduce to 193591995 relations and 162959621 ideals in 8 passes Sat Jun 14 15:04:30 2025 max relations containing the same ideal: 124 Sat Jun 14 15:07:31 2025 removing 8934435 relations and 6934435 ideals in 2000000 cliques Sat Jun 14 15:07:43 2025 commencing in-memory singleton removal Sat Jun 14 15:08:36 2025 begin with 184657560 relations and 162959621 unique ideals Sat Jun 14 15:11:06 2025 reduce to 184319467 relations and 155683861 ideals in 7 passes Sat Jun 14 15:11:06 2025 max relations containing the same ideal: 120 Sat Jun 14 15:13:58 2025 removing 8651988 relations and 6651988 ideals in 2000000 cliques Sat Jun 14 15:14:06 2025 commencing in-memory singleton removal Sat Jun 14 15:14:56 2025 begin with 175667479 relations and 155683861 unique ideals Sat Jun 14 15:17:17 2025 reduce to 175335330 relations and 148696448 ideals in 7 passes Sat Jun 14 15:17:17 2025 max relations containing the same ideal: 118 Sat Jun 14 15:20:01 2025 removing 8451502 relations and 6451502 ideals in 2000000 cliques Sat Jun 14 15:20:09 2025 commencing in-memory singleton removal Sat Jun 14 15:20:56 2025 begin with 166883828 relations and 148696448 unique ideals Sat Jun 14 15:23:05 2025 reduce to 166550114 relations and 141907698 ideals in 7 passes Sat Jun 14 15:23:05 2025 max relations containing the same ideal: 112 Sat Jun 14 15:25:40 2025 removing 8295538 relations and 6295538 ideals in 2000000 cliques Sat Jun 14 15:25:51 2025 commencing in-memory singleton removal Sat Jun 14 15:26:35 2025 begin with 158254576 relations and 141907698 unique ideals Sat Jun 14 15:28:39 2025 reduce to 157915299 relations and 135269269 ideals in 7 passes Sat Jun 14 15:28:39 2025 max relations containing the same ideal: 109 Sat Jun 14 15:31:06 2025 removing 8188802 relations and 6188802 ideals in 2000000 cliques Sat Jun 14 15:31:14 2025 commencing in-memory singleton removal Sat Jun 14 15:31:56 2025 begin with 149726497 relations and 135269269 unique ideals Sat Jun 14 15:34:07 2025 reduce to 149379977 relations and 128730098 ideals in 8 passes Sat Jun 14 15:34:07 2025 max relations containing the same ideal: 106 Sat Jun 14 15:36:26 2025 removing 8116133 relations and 6116133 ideals in 2000000 cliques Sat Jun 14 15:36:33 2025 commencing in-memory singleton removal Sat Jun 14 15:37:12 2025 begin with 141263844 relations and 128730098 unique ideals Sat Jun 14 15:39:16 2025 reduce to 140907462 relations and 122253325 ideals in 8 passes Sat Jun 14 15:39:16 2025 max relations containing the same ideal: 105 Sat Jun 14 15:41:27 2025 removing 8064547 relations and 6064547 ideals in 2000000 cliques Sat Jun 14 15:41:36 2025 commencing in-memory singleton removal Sat Jun 14 15:42:13 2025 begin with 132842915 relations and 122253325 unique ideals Sat Jun 14 15:44:12 2025 reduce to 132470098 relations and 115811264 ideals in 8 passes Sat Jun 14 15:44:12 2025 max relations containing the same ideal: 99 Sat Jun 14 15:46:15 2025 removing 8042181 relations and 6042181 ideals in 2000000 cliques Sat Jun 14 15:46:24 2025 commencing in-memory singleton removal Sat Jun 14 15:46:58 2025 begin with 124427917 relations and 115811264 unique ideals Sat Jun 14 15:48:35 2025 reduce to 124035440 relations and 109371436 ideals in 7 passes Sat Jun 14 15:48:35 2025 max relations containing the same ideal: 94 Sat Jun 14 15:50:30 2025 removing 8040405 relations and 6040405 ideals in 2000000 cliques Sat Jun 14 15:50:37 2025 commencing in-memory singleton removal Sat Jun 14 15:51:08 2025 begin with 115995035 relations and 109371436 unique ideals Sat Jun 14 15:52:47 2025 reduce to 115575774 relations and 102905869 ideals in 8 passes Sat Jun 14 15:52:47 2025 max relations containing the same ideal: 91 Sat Jun 14 15:54:36 2025 removing 8060934 relations and 6060934 ideals in 2000000 cliques Sat Jun 14 15:54:45 2025 commencing in-memory singleton removal Sat Jun 14 15:55:13 2025 begin with 107514840 relations and 102905869 unique ideals Sat Jun 14 15:56:45 2025 reduce to 107061021 relations and 96384306 ideals in 8 passes Sat Jun 14 15:56:45 2025 max relations containing the same ideal: 86 Sat Jun 14 15:58:26 2025 removing 8103301 relations and 6103301 ideals in 2000000 cliques Sat Jun 14 15:58:32 2025 commencing in-memory singleton removal Sat Jun 14 15:58:58 2025 begin with 98957720 relations and 96384306 unique ideals Sat Jun 14 16:00:22 2025 reduce to 98463256 relations and 89778521 ideals in 8 passes Sat Jun 14 16:00:22 2025 max relations containing the same ideal: 80 Sat Jun 14 16:01:53 2025 removing 8175606 relations and 6175606 ideals in 2000000 cliques Sat Jun 14 16:02:02 2025 commencing in-memory singleton removal Sat Jun 14 16:02:25 2025 begin with 90287650 relations and 89778521 unique ideals Sat Jun 14 16:03:43 2025 reduce to 89734832 relations and 83040273 ideals in 8 passes Sat Jun 14 16:03:43 2025 max relations containing the same ideal: 75 Sat Jun 14 16:05:06 2025 removing 8272770 relations and 6272770 ideals in 2000000 cliques Sat Jun 14 16:05:15 2025 commencing in-memory singleton removal Sat Jun 14 16:05:36 2025 begin with 81462062 relations and 83040273 unique ideals Sat Jun 14 16:06:44 2025 reduce to 80834469 relations and 76128098 ideals in 8 passes Sat Jun 14 16:06:44 2025 max relations containing the same ideal: 71 Sat Jun 14 16:07:59 2025 removing 8245015 relations and 6296257 ideals in 1948758 cliques Sat Jun 14 16:08:05 2025 commencing in-memory singleton removal Sat Jun 14 16:08:23 2025 begin with 72589454 relations and 76128098 unique ideals Sat Jun 14 16:09:40 2025 reduce to 71884228 relations and 69112485 ideals in 10 passes Sat Jun 14 16:09:40 2025 max relations containing the same ideal: 65 Sat Jun 14 16:10:45 2025 removing 134476 relations and 120346 ideals in 14130 cliques Sat Jun 14 16:10:49 2025 commencing in-memory singleton removal Sat Jun 14 16:11:08 2025 begin with 71749752 relations and 69112485 unique ideals Sat Jun 14 16:11:38 2025 reduce to 71749616 relations and 68992003 ideals in 4 passes Sat Jun 14 16:11:38 2025 max relations containing the same ideal: 65 Sat Jun 14 16:11:56 2025 relations with 0 large ideals: 85512 Sat Jun 14 16:11:56 2025 relations with 1 large ideals: 104800 Sat Jun 14 16:11:56 2025 relations with 2 large ideals: 972012 Sat Jun 14 16:11:56 2025 relations with 3 large ideals: 4604285 Sat Jun 14 16:11:56 2025 relations with 4 large ideals: 12033875 Sat Jun 14 16:11:56 2025 relations with 5 large ideals: 18772293 Sat Jun 14 16:11:56 2025 relations with 6 large ideals: 18163699 Sat Jun 14 16:11:56 2025 relations with 7+ large ideals: 17013140 Sat Jun 14 16:11:56 2025 commencing 2-way merge Sat Jun 14 16:13:30 2025 reduce to 43611515 relation sets and 40853902 unique ideals Sat Jun 14 16:13:30 2025 commencing full merge Sat Jun 14 16:35:54 2025 memory use: 4979.4 MB Sat Jun 14 16:36:02 2025 found 19909392 cycles, need 19640102 Sat Jun 14 16:36:12 2025 weight of 19640102 cycles is about 2160617194 (110.01/cycle) Sat Jun 14 16:36:12 2025 distribution of cycle lengths: Sat Jun 14 16:36:12 2025 1 relations: 1700307 Sat Jun 14 16:36:12 2025 2 relations: 1520308 Sat Jun 14 16:36:12 2025 3 relations: 1498321 Sat Jun 14 16:36:12 2025 4 relations: 1454190 Sat Jun 14 16:36:12 2025 5 relations: 1431735 Sat Jun 14 16:36:12 2025 6 relations: 1397598 Sat Jun 14 16:36:12 2025 7 relations: 1338023 Sat Jun 14 16:36:12 2025 8 relations: 1275155 Sat Jun 14 16:36:13 2025 9 relations: 1186213 Sat Jun 14 16:36:13 2025 10+ relations: 6838252 Sat Jun 14 16:36:13 2025 heaviest cycle: 28 relations Sat Jun 14 16:36:23 2025 commencing cycle optimization Sat Jun 14 16:37:27 2025 start with 156295663 relations Sat Jun 14 16:45:32 2025 pruned 5674332 relations Sat Jun 14 16:45:34 2025 memory use: 4496.8 MB Sat Jun 14 16:45:35 2025 distribution of cycle lengths: Sat Jun 14 16:45:35 2025 1 relations: 1700307 Sat Jun 14 16:45:35 2025 2 relations: 1553949 Sat Jun 14 16:45:35 2025 3 relations: 1552526 Sat Jun 14 16:45:35 2025 4 relations: 1503160 Sat Jun 14 16:45:35 2025 5 relations: 1490737 Sat Jun 14 16:45:35 2025 6 relations: 1449835 Sat Jun 14 16:45:35 2025 7 relations: 1393279 Sat Jun 14 16:45:35 2025 8 relations: 1318916 Sat Jun 14 16:45:35 2025 9 relations: 1226570 Sat Jun 14 16:45:35 2025 10+ relations: 6450823 Sat Jun 14 16:45:35 2025 heaviest cycle: 27 relations Sat Jun 14 16:46:31 2025 RelProcTime: 24675 Sat Jun 14 16:46:31 2025 elapsed time 06:51:17 Sat Jun 14 19:19:50 2025 Sat Jun 14 19:19:50 2025 Sat Jun 14 19:19:50 2025 Msieve v. 1.54 (SVN unknown) Sat Jun 14 19:19:50 2025 random seeds: 1c80fa89 45fc0988 Sat Jun 14 19:19:50 2025 factoring 20521476129824003358965734451366538649005157690709117786583112985521271968299142298688274094001473300473041642929883550962690117561571912419322612252106142143487358240822850182327365620396861 (191 digits) Sat Jun 14 19:19:52 2025 no P-1/P+1/ECM available, skipping Sat Jun 14 19:19:52 2025 commencing number field sieve (191-digit input) Sat Jun 14 19:19:52 2025 R0: 89202980794122492566142873090593446023921664 Sat Jun 14 19:19:52 2025 R1: -1 Sat Jun 14 19:19:52 2025 A0: -1 Sat Jun 14 19:19:52 2025 A1: 0 Sat Jun 14 19:19:52 2025 A2: 0 Sat Jun 14 19:19:52 2025 A3: 0 Sat Jun 14 19:19:52 2025 A4: 0 Sat Jun 14 19:19:52 2025 A5: 0 Sat Jun 14 19:19:52 2025 A6: 5 Sat Jun 14 19:19:52 2025 skew 0.99, size 4.826e-13, alpha 2.301, combined = 6.690e-14 rroots = 2 Sat Jun 14 19:19:52 2025 Sat Jun 14 19:19:52 2025 commencing linear algebra Sat Jun 14 19:19:52 2025 using VBITS=128 Sat Jun 14 19:19:56 2025 read 19640102 cycles Sat Jun 14 19:21:04 2025 cycles contain 69888542 unique relations Sat Jun 14 19:35:55 2025 read 69888542 relations Sat Jun 14 19:39:07 2025 using 20 quadratic characters above 4294917295 Sat Jun 14 19:46:40 2025 building initial matrix Sat Jun 14 20:15:53 2025 memory use: 8495.8 MB Sat Jun 14 20:16:15 2025 read 19640102 cycles Sat Jun 14 20:16:19 2025 matrix is 19639915 x 19640102 (8520.9 MB) with weight 2422585454 (123.35/col) Sat Jun 14 20:16:19 2025 sparse part has weight 2037301378 (103.73/col) Sat Jun 14 20:24:18 2025 filtering completed in 2 passes Sat Jun 14 20:24:24 2025 matrix is 19635073 x 19635256 (8520.4 MB) with weight 2422399083 (123.37/col) Sat Jun 14 20:24:24 2025 sparse part has weight 2037213000 (103.75/col) Sat Jun 14 20:26:37 2025 matrix starts at (0, 0) Sat Jun 14 20:26:41 2025 matrix is 19635073 x 19635256 (8520.4 MB) with weight 2422399083 (123.37/col) Sat Jun 14 20:26:41 2025 sparse part has weight 2037213000 (103.75/col) Sat Jun 14 20:26:41 2025 saving the first 112 matrix rows for later Sat Jun 14 20:26:47 2025 matrix includes 128 packed rows Sat Jun 14 20:26:55 2025 matrix is 19634961 x 19635256 (7979.0 MB) with weight 1955818180 (99.61/col) Sat Jun 14 20:26:55 2025 sparse part has weight 1856024901 (94.53/col) Sat Jun 14 20:26:55 2025 using GPU 0 (Tesla P100-PCIE-16GB) Sat Jun 14 20:26:55 2025 selected card has CUDA arch 6.0 Sat Jun 14 20:33:59 2025 commencing Lanczos iteration Sat Jun 14 20:34:01 2025 memory use: 16856.8 MB Sat Jun 14 20:45:14 2025 linear algebra at 0.2%, ETA 119h 3m Sat Jun 14 20:48:06 2025 checking every 10000 dimensions, checkpointing every 170000 dimensions Mon Jun 16 09:23:07 2025 lanczos halted after 51140 iterations (dim = 6506725) Mon Jun 16 09:23:29 2025 BLanczosTime: 137017 Mon Jun 16 09:23:29 2025 Mon Jun 16 09:23:29 2025 commencing square root phase Mon Jun 16 09:23:29 2025 handling dependencies 1 to 64 Mon Jun 16 09:23:29 2025 reading relations for dependency 1 Mon Jun 16 09:23:29 2025 error: read_cycles can't open dependency file Sun Jun 22 21:06:32 2025 Sun Jun 22 21:06:32 2025 Sun Jun 22 21:06:32 2025 Msieve v. 1.54 (SVN unknown) Sun Jun 22 21:06:32 2025 random seeds: 8d4730b8 03211e9d Sun Jun 22 21:06:32 2025 factoring 20521476129824003358965734451366538649005157690709117786583112985521271968299142298688274094001473300473041642929883550962690117561571912419322612252106142143487358240822850182327365620396861 (191 digits) Sun Jun 22 21:06:33 2025 no P-1/P+1/ECM available, skipping Sun Jun 22 21:06:33 2025 commencing number field sieve (191-digit input) Sun Jun 22 21:06:33 2025 R0: 89202980794122492566142873090593446023921664 Sun Jun 22 21:06:33 2025 R1: -1 Sun Jun 22 21:06:33 2025 A0: -1 Sun Jun 22 21:06:33 2025 A1: 0 Sun Jun 22 21:06:33 2025 A2: 0 Sun Jun 22 21:06:33 2025 A3: 0 Sun Jun 22 21:06:33 2025 A4: 0 Sun Jun 22 21:06:33 2025 A5: 0 Sun Jun 22 21:06:33 2025 A6: 5 Sun Jun 22 21:06:33 2025 skew 0.99, size 4.826e-13, alpha 2.301, combined = 6.690e-14 rroots = 2 Sun Jun 22 21:06:33 2025 Sun Jun 22 21:06:33 2025 commencing linear algebra Sun Jun 22 21:06:33 2025 using VBITS=128 Sun Jun 22 21:07:27 2025 matrix starts at (0, 0) Sun Jun 22 21:07:30 2025 matrix is 19635073 x 19635256 (8520.4 MB) with weight 2422399083 (123.37/col) Sun Jun 22 21:07:30 2025 sparse part has weight 2037213000 (103.75/col) Sun Jun 22 21:07:30 2025 saving the first 112 matrix rows for later Sun Jun 22 21:07:35 2025 matrix includes 128 packed rows Sun Jun 22 21:07:40 2025 matrix is 19634961 x 19635256 (7979.0 MB) with weight 1955818180 (99.61/col) Sun Jun 22 21:07:40 2025 sparse part has weight 1856024901 (94.53/col) Sun Jun 22 21:07:41 2025 using GPU 0 (Tesla P100-PCIE-16GB) Sun Jun 22 21:07:41 2025 selected card has CUDA arch 6.0 Sun Jun 22 21:12:44 2025 commencing Lanczos iteration Sun Jun 22 21:12:46 2025 memory use: 16856.8 MB Sun Jun 22 21:12:57 2025 restarting at iteration 51140 (dim = 6506725) Sun Jun 22 21:18:54 2025 checking every 10000 dimensions, checkpointing every 220000 dimensions Sun Jun 22 21:21:25 2025 linear algebra at 33.3%, ETA 60h29m Wed Jun 25 22:11:40 2025 lanczos halted after 154321 iterations (dim = 19634957) Wed Jun 25 22:13:45 2025 recovered 35 nontrivial dependencies Wed Jun 25 22:13:49 2025 BLanczosTime: 263236 Wed Jun 25 22:13:49 2025 Wed Jun 25 22:13:49 2025 commencing square root phase Wed Jun 25 22:13:49 2025 handling dependencies 1 to 64 Wed Jun 25 22:13:49 2025 reading relations for dependency 1 Wed Jun 25 22:14:10 2025 read 9818877 cycles Wed Jun 25 22:14:45 2025 cycles contain 34947696 unique relations Wed Jun 25 22:22:41 2025 read 34947696 relations Wed Jun 25 22:27:36 2025 multiplying 34947696 relations Wed Jun 25 23:27:07 2025 multiply complete, coefficients have about 979.86 million bits Wed Jun 25 23:27:14 2025 initial square root is modulo 617692927 Thu Jun 26 00:20:03 2025 sqrtTime: 7574 Thu Jun 26 00:20:03 2025 p91 factor: 4801349154838170914029375779162899619215115429957824142344861832580078284692409116945813449 Thu Jun 26 00:20:03 2025 p100 factor: 4274106187246379930598737256980167106026201352208430520935990734682969674032186482674726974616095189 Thu Jun 26 00:20:03 2025 elapsed time 75:13:31