Wed Apr 9 13:29:12 2025 Wed Apr 9 13:29:12 2025 Wed Apr 9 13:29:12 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 9 13:29:12 2025 random seeds: 2912e713 055c423d Wed Apr 9 13:29:12 2025 MPI process 0 of 1 Wed Apr 9 13:29:12 2025 Using 32 OpenMP threads Wed Apr 9 13:29:12 2025 factoring 1455468426719112762914440306181972659111774407944534092887982296969046085829470863819530687788289901177168355667684502464851111347799910938944406697172830983345302657241 (169 digits) Wed Apr 9 13:29:13 2025 searching for 15-digit factors Wed Apr 9 13:29:14 2025 commencing number field sieve (169-digit input) Wed Apr 9 13:29:14 2025 R0: -590455221138165352960300174959469 Wed Apr 9 13:29:14 2025 R1: 37572760040052953 Wed Apr 9 13:29:14 2025 A0: 112662591504137559581277242555410410122580 Wed Apr 9 13:29:14 2025 A1: 44804486727672610757679601987461276 Wed Apr 9 13:29:14 2025 A2: -1505461933242137010033309163 Wed Apr 9 13:29:14 2025 A3: -305188322167977186196 Wed Apr 9 13:29:14 2025 A4: 1436809575808 Wed Apr 9 13:29:14 2025 A5: 20280 Wed Apr 9 13:29:14 2025 skew 35045727.38, size 2.057e-16, alpha -7.084, combined = 4.402e-13 rroots = 5 Wed Apr 9 13:29:14 2025 Wed Apr 9 13:29:14 2025 commencing relation filtering Wed Apr 9 13:29:14 2025 setting target matrix density to 110.0 Wed Apr 9 13:29:14 2025 estimated available RAM is 257736.5 MB Wed Apr 9 13:29:14 2025 commencing duplicate removal, pass 1 Wed Apr 9 13:29:32 2025 error -1 reading relation 7454644 Wed Apr 9 13:31:24 2025 error -1 reading relation 59192330 Wed Apr 9 13:31:38 2025 error -1 reading relation 65564452 Wed Apr 9 13:33:52 2025 error -1 reading relation 120151393 Wed Apr 9 13:34:50 2025 error -1 reading relation 146709837 Wed Apr 9 13:35:08 2025 error -1 reading relation 153622554 Wed Apr 9 13:35:22 2025 error -1 reading relation 159535874 Wed Apr 9 13:37:19 2025 error -1 reading relation 208720734 Wed Apr 9 13:37:47 2025 error -1 reading relation 220752112 Wed Apr 9 13:37:59 2025 error -1 reading relation 225150239 Wed Apr 9 13:38:15 2025 error -1 reading relation 232708854 Wed Apr 9 13:38:51 2025 error -1 reading relation 247065464 Wed Apr 9 13:39:42 2025 error -1 reading relation 267437947 Wed Apr 9 13:39:51 2025 skipped 108 malformed relations Wed Apr 9 13:39:51 2025 found 60478273 hash collisions in 271329750 relations Wed Apr 9 13:40:14 2025 commencing duplicate removal, pass 2 Wed Apr 9 13:46:37 2025 found 62318633 duplicates and 209011117 unique relations Wed Apr 9 13:46:37 2025 memory use: 1449.5 MB Wed Apr 9 13:46:37 2025 reading ideals above 720000 Wed Apr 9 13:46:38 2025 commencing singleton removal, initial pass Wed Apr 9 14:04:44 2025 memory use: 6024.0 MB Wed Apr 9 14:04:44 2025 reading all ideals from disk Wed Apr 9 14:04:49 2025 memory use: 9667.3 MB Wed Apr 9 14:05:18 2025 keeping 218744066 ideals with weight <= 200, target excess is 1028438 Wed Apr 9 14:05:57 2025 commencing in-memory singleton removal Wed Apr 9 14:06:01 2025 begin with 209011117 relations and 218744066 unique ideals Wed Apr 9 14:06:23 2025 reduce to 93387534 relations and 86200587 ideals in 21 passes Wed Apr 9 14:06:23 2025 max relations containing the same ideal: 121 Wed Apr 9 14:07:13 2025 removing 8998213 relations and 7998213 ideals in 1000000 cliques Wed Apr 9 14:07:17 2025 commencing in-memory singleton removal Wed Apr 9 14:07:18 2025 begin with 84389321 relations and 86200587 unique ideals Wed Apr 9 14:07:27 2025 reduce to 83633795 relations and 77435275 ideals in 13 passes Wed Apr 9 14:07:27 2025 max relations containing the same ideal: 112 Wed Apr 9 14:08:11 2025 removing 6767150 relations and 5767150 ideals in 1000000 cliques Wed Apr 9 14:08:14 2025 commencing in-memory singleton removal Wed Apr 9 14:08:16 2025 begin with 76866645 relations and 77435275 unique ideals Wed Apr 9 14:08:25 2025 reduce to 76373859 relations and 71168906 ideals in 12 passes Wed Apr 9 14:08:25 2025 max relations containing the same ideal: 106 Wed Apr 9 14:09:14 2025 removing 6086577 relations and 5086577 ideals in 1000000 cliques Wed Apr 9 14:09:17 2025 commencing in-memory singleton removal Wed Apr 9 14:09:19 2025 begin with 70287282 relations and 71168906 unique ideals Wed Apr 9 14:09:24 2025 reduce to 69845970 relations and 65635198 ideals in 9 passes Wed Apr 9 14:09:24 2025 max relations containing the same ideal: 101 Wed Apr 9 14:10:05 2025 removing 5756170 relations and 4756170 ideals in 1000000 cliques Wed Apr 9 14:10:08 2025 commencing in-memory singleton removal Wed Apr 9 14:10:10 2025 begin with 64089800 relations and 65635198 unique ideals Wed Apr 9 14:10:15 2025 reduce to 63655161 relations and 60438276 ideals in 9 passes Wed Apr 9 14:10:15 2025 max relations containing the same ideal: 98 Wed Apr 9 14:10:49 2025 removing 5573511 relations and 4573511 ideals in 1000000 cliques Wed Apr 9 14:10:52 2025 commencing in-memory singleton removal Wed Apr 9 14:10:53 2025 begin with 58081650 relations and 60438276 unique ideals Wed Apr 9 14:10:57 2025 reduce to 57631408 relations and 55407804 ideals in 9 passes Wed Apr 9 14:10:57 2025 max relations containing the same ideal: 90 Wed Apr 9 14:11:25 2025 removing 5482956 relations and 4482956 ideals in 1000000 cliques Wed Apr 9 14:11:27 2025 commencing in-memory singleton removal Wed Apr 9 14:11:28 2025 begin with 52148452 relations and 55407804 unique ideals Wed Apr 9 14:11:32 2025 reduce to 51659345 relations and 50428002 ideals in 10 passes Wed Apr 9 14:11:32 2025 max relations containing the same ideal: 84 Wed Apr 9 14:11:58 2025 removing 380798 relations and 342444 ideals in 38354 cliques Wed Apr 9 14:12:00 2025 commencing in-memory singleton removal Wed Apr 9 14:12:01 2025 begin with 51278547 relations and 50428002 unique ideals Wed Apr 9 14:12:04 2025 reduce to 51276450 relations and 50083459 ideals in 6 passes Wed Apr 9 14:12:04 2025 max relations containing the same ideal: 84 Wed Apr 9 14:12:11 2025 relations with 0 large ideals: 3612 Wed Apr 9 14:12:11 2025 relations with 1 large ideals: 25320 Wed Apr 9 14:12:11 2025 relations with 2 large ideals: 353722 Wed Apr 9 14:12:11 2025 relations with 3 large ideals: 2115378 Wed Apr 9 14:12:11 2025 relations with 4 large ideals: 6793268 Wed Apr 9 14:12:11 2025 relations with 5 large ideals: 12778408 Wed Apr 9 14:12:11 2025 relations with 6 large ideals: 14537265 Wed Apr 9 14:12:11 2025 relations with 7+ large ideals: 14669477 Wed Apr 9 14:12:11 2025 commencing 2-way merge Wed Apr 9 14:12:58 2025 reduce to 30082658 relation sets and 28889667 unique ideals Wed Apr 9 14:12:58 2025 commencing full merge Wed Apr 9 14:26:50 2025 memory use: 3243.7 MB Wed Apr 9 14:26:56 2025 found 13196343 cycles, need 13149867 Wed Apr 9 14:27:03 2025 weight of 13149867 cycles is about 1447054817 (110.04/cycle) Wed Apr 9 14:27:03 2025 distribution of cycle lengths: Wed Apr 9 14:27:03 2025 1 relations: 1280244 Wed Apr 9 14:27:03 2025 2 relations: 1068770 Wed Apr 9 14:27:03 2025 3 relations: 1054436 Wed Apr 9 14:27:03 2025 4 relations: 992768 Wed Apr 9 14:27:03 2025 5 relations: 949674 Wed Apr 9 14:27:03 2025 6 relations: 880439 Wed Apr 9 14:27:03 2025 7 relations: 833368 Wed Apr 9 14:27:03 2025 8 relations: 765171 Wed Apr 9 14:27:03 2025 9 relations: 694946 Wed Apr 9 14:27:03 2025 10+ relations: 4630051 Wed Apr 9 14:27:03 2025 heaviest cycle: 28 relations Wed Apr 9 14:27:08 2025 commencing cycle optimization Wed Apr 9 14:27:38 2025 start with 107201180 relations Wed Apr 9 14:32:47 2025 pruned 3347907 relations Wed Apr 9 14:32:48 2025 memory use: 3164.4 MB Wed Apr 9 14:32:48 2025 distribution of cycle lengths: Wed Apr 9 14:32:48 2025 1 relations: 1280244 Wed Apr 9 14:32:48 2025 2 relations: 1095522 Wed Apr 9 14:32:48 2025 3 relations: 1092431 Wed Apr 9 14:32:48 2025 4 relations: 1022034 Wed Apr 9 14:32:48 2025 5 relations: 980843 Wed Apr 9 14:32:48 2025 6 relations: 905481 Wed Apr 9 14:32:49 2025 7 relations: 855207 Wed Apr 9 14:32:49 2025 8 relations: 780474 Wed Apr 9 14:32:49 2025 9 relations: 707727 Wed Apr 9 14:32:49 2025 10+ relations: 4429904 Wed Apr 9 14:32:49 2025 heaviest cycle: 28 relations Wed Apr 9 14:33:15 2025 RelProcTime: 3841 Wed Apr 9 14:33:20 2025 Wed Apr 9 14:33:20 2025 commencing linear algebra Wed Apr 9 14:33:20 2025 using VBITS=256 Wed Apr 9 14:33:20 2025 stopping after matrix build Wed Apr 9 14:33:20 2025 initialized process (0,0) of 1 x 1 grid Wed Apr 9 14:33:21 2025 read 13149867 cycles Wed Apr 9 14:33:47 2025 cycles contain 50262193 unique relations Wed Apr 9 14:38:30 2025 read 50262193 relations Wed Apr 9 14:38:36 2025 using 20 quadratic characters above 4294917295 Wed Apr 9 14:38:43 2025 building initial matrix Wed Apr 9 14:48:39 2025 memory use: 6777.8 MB Wed Apr 9 14:48:48 2025 read 13149867 cycles Wed Apr 9 14:48:50 2025 matrix is 13149686 x 13149867 (5823.3 MB) with weight 1791526532 (136.24/col) Wed Apr 9 14:48:50 2025 sparse part has weight 1368734543 (104.09/col) Wed Apr 9 14:52:19 2025 filtering completed in 2 passes Wed Apr 9 14:52:22 2025 matrix is 13146974 x 13147155 (5823.0 MB) with weight 1791393150 (136.26/col) Wed Apr 9 14:52:22 2025 sparse part has weight 1368697739 (104.11/col) Wed Apr 9 14:53:41 2025 BLanczosTime: 1221 Wed Apr 9 14:53:41 2025 elapsed time 01:24:29 Fri Apr 11 01:28:13 2025 Fri Apr 11 01:28:13 2025 Fri Apr 11 01:28:13 2025 Msieve v. 1.54 (SVN Unversioned directory) Fri Apr 11 01:28:13 2025 random seeds: 47950209 e1288647 Fri Apr 11 01:28:13 2025 Using 96 OpenMP threads Fri Apr 11 01:28:13 2025 factoring 1455468426719112762914440306181972659111774407944534092887982296969046085829470863819530687788289901177168355667684502464851111347799910938944406697172830983345302657241 (169 digits) Fri Apr 11 01:28:13 2025 searching for 15-digit factors Fri Apr 11 01:28:13 2025 commencing number field sieve (169-digit input) Fri Apr 11 01:28:13 2025 R0: -590455221138165352960300174959469 Fri Apr 11 01:28:13 2025 R1: 37572760040052953 Fri Apr 11 01:28:13 2025 A0: 112662591504137559581277242555410410122580 Fri Apr 11 01:28:13 2025 A1: 44804486727672610757679601987461276 Fri Apr 11 01:28:13 2025 A2: -1505461933242137010033309163 Fri Apr 11 01:28:13 2025 A3: -305188322167977186196 Fri Apr 11 01:28:13 2025 A4: 1436809575808 Fri Apr 11 01:28:13 2025 A5: 20280 Fri Apr 11 01:28:13 2025 skew 35045727.38, size 2.057e-16, alpha -7.084, combined = 4.402e-13 rroots = 5 Fri Apr 11 01:28:13 2025 Fri Apr 11 01:28:13 2025 commencing linear algebra Fri Apr 11 01:28:13 2025 using VBITS=256 Fri Apr 11 01:28:13 2025 skipping matrix build Fri Apr 11 01:28:16 2025 matrix starts at (0, 0) Fri Apr 11 01:28:18 2025 matrix is 13146974 x 13147155 (5823.0 MB) with weight 1791393150 (136.26/col) Fri Apr 11 01:28:18 2025 sparse part has weight 1368697739 (104.11/col) Fri Apr 11 01:28:18 2025 saving the first 240 matrix rows for later Fri Apr 11 01:28:21 2025 matrix includes 256 packed rows Fri Apr 11 01:28:25 2025 matrix is 13146734 x 13147155 (5287.2 MB) with weight 1253647149 (95.36/col) Fri Apr 11 01:28:25 2025 sparse part has weight 1175649810 (89.42/col) Fri Apr 11 01:28:25 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Fri Apr 11 01:28:49 2025 commencing Lanczos iteration (96 threads) Fri Apr 11 01:28:49 2025 memory use: 7422.5 MB Fri Apr 11 01:30:24 2025 linear algebra at 0.2%, ETA 11h 3m Fri Apr 11 01:32:38 2025 checking every 20000 dimensions, checkpointing every 1220000 dimensions Fri Apr 11 11:37:52 2025 lanczos halted after 51510 iterations (dim = 13146733) Fri Apr 11 11:38:48 2025 recovered 32 nontrivial dependencies Fri Apr 11 11:38:49 2025 BLanczosTime: 36636 Fri Apr 11 11:38:49 2025 Fri Apr 11 11:38:49 2025 commencing square root phase Fri Apr 11 11:38:49 2025 handling dependencies 1 to 64 Fri Apr 11 11:38:49 2025 reading relations for dependency 1 Fri Apr 11 11:38:50 2025 read 6576176 cycles Fri Apr 11 11:39:01 2025 cycles contain 25140302 unique relations Fri Apr 11 11:42:57 2025 read 25140302 relations Fri Apr 11 11:44:28 2025 multiplying 25140302 relations Fri Apr 11 11:56:50 2025 multiply complete, coefficients have about 1325.68 million bits Fri Apr 11 11:56:54 2025 initial square root is modulo 884363 Fri Apr 11 12:05:08 2025 sqrtTime: 1579 Fri Apr 11 12:05:08 2025 p55 factor: 3230175002789384755130280492296649580068839773052227679 Fri Apr 11 12:05:08 2025 p114 factor: 450585007147370595428203206453712609116648145577136441577614700709235850014900243586609918069279539282382468481479 Fri Apr 11 12:05:08 2025 elapsed time 10:36:55