Mon May 1 12:02:27 2023 Mon May 1 12:02:27 2023 Mon May 1 12:02:27 2023 Msieve v. 1.54 (SVN Unversioned directory) Mon May 1 12:02:27 2023 random seeds: 7e6cbf8a 0a22a493 Mon May 1 12:02:27 2023 MPI process 0 of 1 Mon May 1 12:02:27 2023 Using 46 OpenMP threads Mon May 1 12:02:27 2023 factoring 56027205889722432468365966009842220158549156297950709303666497071792530382254471014917775378812453380932086519075422242729040336357203425905409204982650213530622593212326359419145771636903719224728954541489513210789298747153189170082924026995241501919807781934265079 (266 digits) Mon May 1 12:02:28 2023 no P-1/P+1/ECM available, skipping Mon May 1 12:02:28 2023 commencing number field sieve (266-digit input) Mon May 1 12:02:28 2023 R0: 1427247692705959881058285969449495136382746624 Mon May 1 12:02:28 2023 R1: -608266787713357709119683992618861307 Mon May 1 12:02:28 2023 A0: 4 Mon May 1 12:02:28 2023 A1: 0 Mon May 1 12:02:28 2023 A2: 0 Mon May 1 12:02:28 2023 A3: 6 Mon May 1 12:02:28 2023 A4: 0 Mon May 1 12:02:28 2023 A5: 0 Mon May 1 12:02:28 2023 A6: 3 Mon May 1 12:02:28 2023 skew 1.05, size 2.738e-13, alpha 1.048, combined = 4.293e-14 rroots = 0 Mon May 1 12:02:28 2023 Mon May 1 12:02:28 2023 commencing relation filtering Mon May 1 12:02:28 2023 setting target matrix density to 110.0 Mon May 1 12:02:28 2023 estimated available RAM is 192069.2 MB Mon May 1 12:02:28 2023 commencing duplicate removal, pass 1 Mon May 1 12:06:26 2023 skipped 1738 relations with b > 2^32 Mon May 1 12:06:26 2023 skipped 2 relations with composite factors Mon May 1 12:06:26 2023 skipped 338 malformed relations Mon May 1 12:06:26 2023 found 12583610 hash collisions in 337414374 relations Mon May 1 12:06:38 2023 added 812988 free relations Mon May 1 12:06:38 2023 commencing duplicate removal, pass 2 Mon May 1 12:08:01 2023 found 0 duplicates and 338227362 unique relations Mon May 1 12:08:01 2023 memory use: 1044.8 MB Mon May 1 12:08:01 2023 reading ideals above 720000 Mon May 1 12:08:01 2023 commencing singleton removal, initial pass Mon May 1 12:20:42 2023 memory use: 11024.0 MB Mon May 1 12:20:42 2023 reading all ideals from disk Mon May 1 12:20:50 2023 memory use: 16830.1 MB Mon May 1 12:21:15 2023 keeping 332583986 ideals with weight <= 200, target excess is 1736783 Mon May 1 12:21:47 2023 commencing in-memory singleton removal Mon May 1 12:21:50 2023 begin with 338227361 relations and 332583986 unique ideals Mon May 1 12:22:07 2023 reduce to 194624857 relations and 171990576 ideals in 16 passes Mon May 1 12:22:07 2023 max relations containing the same ideal: 148 Mon May 1 12:22:59 2023 removing 15596137 relations and 13596137 ideals in 2000000 cliques Mon May 1 12:23:08 2023 commencing in-memory singleton removal Mon May 1 12:23:10 2023 begin with 179028720 relations and 171990576 unique ideals Mon May 1 12:23:17 2023 reduce to 177962042 relations and 157312379 ideals in 10 passes Mon May 1 12:23:17 2023 max relations containing the same ideal: 142 Mon May 1 12:24:06 2023 removing 11705030 relations and 9705030 ideals in 2000000 cliques Mon May 1 12:24:14 2023 commencing in-memory singleton removal Mon May 1 12:24:15 2023 begin with 166257012 relations and 157312379 unique ideals Mon May 1 12:24:22 2023 reduce to 165584035 relations and 146926049 ideals in 9 passes Mon May 1 12:24:22 2023 max relations containing the same ideal: 135 Mon May 1 12:25:08 2023 removing 10498184 relations and 8498184 ideals in 2000000 cliques Mon May 1 12:25:15 2023 commencing in-memory singleton removal Mon May 1 12:25:16 2023 begin with 155085851 relations and 146926049 unique ideals Mon May 1 12:25:22 2023 reduce to 154501722 relations and 137836556 ideals in 8 passes Mon May 1 12:25:22 2023 max relations containing the same ideal: 126 Mon May 1 12:26:05 2023 removing 9876628 relations and 7876628 ideals in 2000000 cliques Mon May 1 12:26:12 2023 commencing in-memory singleton removal Mon May 1 12:26:13 2023 begin with 144625094 relations and 137836556 unique ideals Mon May 1 12:26:19 2023 reduce to 144071927 relations and 129399966 ideals in 8 passes Mon May 1 12:26:19 2023 max relations containing the same ideal: 120 Mon May 1 12:26:58 2023 removing 9494138 relations and 7494138 ideals in 2000000 cliques Mon May 1 12:27:05 2023 commencing in-memory singleton removal Mon May 1 12:27:06 2023 begin with 134577789 relations and 129399966 unique ideals Mon May 1 12:27:11 2023 reduce to 134031976 relations and 121352862 ideals in 8 passes Mon May 1 12:27:11 2023 max relations containing the same ideal: 114 Mon May 1 12:27:52 2023 removing 9243825 relations and 7243825 ideals in 2000000 cliques Mon May 1 12:27:58 2023 commencing in-memory singleton removal Mon May 1 12:28:00 2023 begin with 124788151 relations and 121352862 unique ideals Mon May 1 12:28:04 2023 reduce to 124235335 relations and 113548729 ideals in 8 passes Mon May 1 12:28:04 2023 max relations containing the same ideal: 112 Mon May 1 12:28:39 2023 removing 9090816 relations and 7090816 ideals in 2000000 cliques Mon May 1 12:28:45 2023 commencing in-memory singleton removal Mon May 1 12:28:46 2023 begin with 115144519 relations and 113548729 unique ideals Mon May 1 12:28:50 2023 reduce to 114573143 relations and 105878366 ideals in 8 passes Mon May 1 12:28:50 2023 max relations containing the same ideal: 105 Mon May 1 12:29:23 2023 removing 9000998 relations and 7000998 ideals in 2000000 cliques Mon May 1 12:29:29 2023 commencing in-memory singleton removal Mon May 1 12:29:30 2023 begin with 105572145 relations and 105878366 unique ideals Mon May 1 12:29:34 2023 reduce to 104965123 relations and 98260999 ideals in 9 passes Mon May 1 12:29:34 2023 max relations containing the same ideal: 100 Mon May 1 12:30:04 2023 removing 8968328 relations and 6968328 ideals in 2000000 cliques Mon May 1 12:30:09 2023 commencing in-memory singleton removal Mon May 1 12:30:10 2023 begin with 95996795 relations and 98260999 unique ideals Mon May 1 12:30:14 2023 reduce to 95341379 relations and 90626387 ideals in 8 passes Mon May 1 12:30:14 2023 max relations containing the same ideal: 91 Mon May 1 12:30:42 2023 removing 8973130 relations and 6973130 ideals in 2000000 cliques Mon May 1 12:30:47 2023 commencing in-memory singleton removal Mon May 1 12:30:48 2023 begin with 86368249 relations and 90626387 unique ideals Mon May 1 12:30:51 2023 reduce to 85647461 relations and 82919355 ideals in 8 passes Mon May 1 12:30:51 2023 max relations containing the same ideal: 87 Mon May 1 12:31:17 2023 removing 3987543 relations and 3274106 ideals in 713437 cliques Mon May 1 12:31:20 2023 commencing in-memory singleton removal Mon May 1 12:31:21 2023 begin with 81659918 relations and 82919355 unique ideals Mon May 1 12:31:24 2023 reduce to 81517607 relations and 79501906 ideals in 8 passes Mon May 1 12:31:24 2023 max relations containing the same ideal: 84 Mon May 1 12:32:03 2023 relations with 0 large ideals: 44099 Mon May 1 12:32:03 2023 relations with 1 large ideals: 31778 Mon May 1 12:32:03 2023 relations with 2 large ideals: 418891 Mon May 1 12:32:03 2023 relations with 3 large ideals: 2580419 Mon May 1 12:32:03 2023 relations with 4 large ideals: 8678854 Mon May 1 12:32:03 2023 relations with 5 large ideals: 17483285 Mon May 1 12:32:03 2023 relations with 6 large ideals: 22018572 Mon May 1 12:32:03 2023 relations with 7+ large ideals: 30261709 Mon May 1 12:32:03 2023 commencing 2-way merge Mon May 1 12:32:40 2023 reduce to 50451989 relation sets and 48436288 unique ideals Mon May 1 12:32:40 2023 commencing full merge Mon May 1 12:45:57 2023 memory use: 6120.0 MB Mon May 1 12:46:01 2023 found 23204010 cycles, need 23018488 Mon May 1 12:46:08 2023 weight of 23018488 cycles is about 2532615217 (110.03/cycle) Mon May 1 12:46:08 2023 distribution of cycle lengths: Mon May 1 12:46:08 2023 1 relations: 1964104 Mon May 1 12:46:08 2023 2 relations: 1920334 Mon May 1 12:46:08 2023 3 relations: 1905254 Mon May 1 12:46:08 2023 4 relations: 1808958 Mon May 1 12:46:08 2023 5 relations: 1730193 Mon May 1 12:46:08 2023 6 relations: 1642549 Mon May 1 12:46:08 2023 7 relations: 1543486 Mon May 1 12:46:08 2023 8 relations: 1441523 Mon May 1 12:46:08 2023 9 relations: 1327712 Mon May 1 12:46:08 2023 10+ relations: 7734375 Mon May 1 12:46:08 2023 heaviest cycle: 28 relations Mon May 1 12:46:16 2023 commencing cycle optimization Mon May 1 12:46:54 2023 start with 180191072 relations Mon May 1 12:52:05 2023 pruned 6413832 relations Mon May 1 12:52:05 2023 memory use: 5177.1 MB Mon May 1 12:52:06 2023 distribution of cycle lengths: Mon May 1 12:52:06 2023 1 relations: 1964104 Mon May 1 12:52:06 2023 2 relations: 1964748 Mon May 1 12:52:06 2023 3 relations: 1978363 Mon May 1 12:52:06 2023 4 relations: 1869918 Mon May 1 12:52:06 2023 5 relations: 1797428 Mon May 1 12:52:06 2023 6 relations: 1697057 Mon May 1 12:52:06 2023 7 relations: 1597244 Mon May 1 12:52:06 2023 8 relations: 1483009 Mon May 1 12:52:06 2023 9 relations: 1361748 Mon May 1 12:52:06 2023 10+ relations: 7304869 Mon May 1 12:52:06 2023 heaviest cycle: 28 relations Mon May 1 12:52:55 2023 RelProcTime: 3027 Mon May 1 12:52:55 2023 elapsed time 00:50:28 Mon May 1 12:52:58 2023 Mon May 1 12:52:58 2023 Mon May 1 12:52:58 2023 Msieve v. 1.54 (SVN Unversioned directory) Mon May 1 12:52:58 2023 random seeds: 4d17918f 951db780 Mon May 1 12:52:58 2023 MPI process 0 of 1 Mon May 1 12:52:58 2023 Using 46 OpenMP threads Mon May 1 12:52:58 2023 factoring 56027205889722432468365966009842220158549156297950709303666497071792530382254471014917775378812453380932086519075422242729040336357203425905409204982650213530622593212326359419145771636903719224728954541489513210789298747153189170082924026995241501919807781934265079 (266 digits) Mon May 1 12:52:59 2023 no P-1/P+1/ECM available, skipping Mon May 1 12:52:59 2023 commencing number field sieve (266-digit input) Mon May 1 12:52:59 2023 R0: 1427247692705959881058285969449495136382746624 Mon May 1 12:52:59 2023 R1: -608266787713357709119683992618861307 Mon May 1 12:52:59 2023 A0: 4 Mon May 1 12:52:59 2023 A1: 0 Mon May 1 12:52:59 2023 A2: 0 Mon May 1 12:52:59 2023 A3: 6 Mon May 1 12:52:59 2023 A4: 0 Mon May 1 12:52:59 2023 A5: 0 Mon May 1 12:52:59 2023 A6: 3 Mon May 1 12:52:59 2023 skew 1.05, size 2.738e-13, alpha 1.048, combined = 4.293e-14 rroots = 0 Mon May 1 12:52:59 2023 Mon May 1 12:52:59 2023 commencing linear algebra Mon May 1 12:52:59 2023 using VBITS=128 Mon May 1 12:52:59 2023 stopping after matrix build Mon May 1 12:52:59 2023 initialized process (0,0) of 1 x 1 grid Mon May 1 12:53:03 2023 read 23018488 cycles Mon May 1 12:53:42 2023 cycles contain 80207627 unique relations Mon May 1 12:54:34 2023 read 80207627 relations Mon May 1 12:54:40 2023 using 20 quadratic characters above 4294917295 Mon May 1 12:54:50 2023 building initial matrix Mon May 1 13:11:17 2023 memory use: 10250.4 MB Mon May 1 13:11:38 2023 read 23018488 cycles Mon May 1 13:11:41 2023 matrix is 23018309 x 23018488 (10117.7 MB) with weight 2901222284 (126.04/col) Mon May 1 13:11:41 2023 sparse part has weight 2399096584 (104.22/col) Mon May 1 13:16:01 2023 filtering completed in 2 passes Mon May 1 13:16:04 2023 matrix is 23014844 x 23015023 (10117.4 MB) with weight 2901102925 (126.05/col) Mon May 1 13:16:04 2023 sparse part has weight 2399054656 (104.24/col) Mon May 1 13:17:05 2023 BLanczosTime: 1446 Mon May 1 13:17:05 2023 elapsed time 00:24:07 Mon May 1 13:27:34 2023 Mon May 1 13:27:34 2023 Mon May 1 13:27:34 2023 Msieve v. 1.54 (SVN Unversioned directory) Mon May 1 13:27:34 2023 random seeds: 85a68c00 3e097eee Mon May 1 13:27:34 2023 MPI process 0 of 2 Mon May 1 13:27:34 2023 Using 23 OpenMP threads Mon May 1 13:27:34 2023 factoring 56027205889722432468365966009842220158549156297950709303666497071792530382254471014917775378812453380932086519075422242729040336357203425905409204982650213530622593212326359419145771636903719224728954541489513210789298747153189170082924026995241501919807781934265079 (266 digits) Mon May 1 13:27:35 2023 no P-1/P+1/ECM available, skipping Mon May 1 13:27:35 2023 commencing number field sieve (266-digit input) Mon May 1 13:27:35 2023 R0: 1427247692705959881058285969449495136382746624 Mon May 1 13:27:35 2023 R1: -608266787713357709119683992618861307 Mon May 1 13:27:35 2023 A0: 4 Mon May 1 13:27:35 2023 A1: 0 Mon May 1 13:27:35 2023 A2: 0 Mon May 1 13:27:35 2023 A3: 6 Mon May 1 13:27:35 2023 A4: 0 Mon May 1 13:27:35 2023 A5: 0 Mon May 1 13:27:35 2023 A6: 3 Mon May 1 13:27:35 2023 skew 1.05, size 2.738e-13, alpha 1.048, combined = 4.293e-14 rroots = 0 Mon May 1 13:27:35 2023 Mon May 1 13:27:35 2023 commencing linear algebra Mon May 1 13:27:35 2023 using VBITS=256 Mon May 1 13:27:35 2023 skipping matrix build Mon May 1 13:27:35 2023 initialized process (0,0) of 1 x 2 grid Mon May 1 13:27:43 2023 matrix starts at (0, 0) Mon May 1 13:27:45 2023 matrix is 23014844 x 11507565 (5058.7 MB) with weight 1450553097 (126.05/col) Mon May 1 13:27:45 2023 sparse part has weight 1199527489 (104.24/col) Mon May 1 13:27:45 2023 saving the first 240 matrix rows for later Mon May 1 13:27:49 2023 matrix includes 256 packed rows Mon May 1 13:27:52 2023 matrix is 23014604 x 11507565 (4678.3 MB) with weight 1095670111 (95.21/col) Mon May 1 13:27:52 2023 sparse part has weight 1042262913 (90.57/col) Mon May 1 13:27:52 2023 using GPU 0 (Tesla T4) Mon May 1 13:27:52 2023 selected card has CUDA arch 7.5 Mon May 1 13:29:10 2023 commencing Lanczos iteration Mon May 1 13:29:12 2023 memory use: 11946.5 MB Mon May 1 13:31:59 2023 linear algebra at 0.1%, ETA 34h36m Mon May 1 13:36:10 2023 checking every 10000 dimensions, checkpointing every 670000 dimensions Wed May 3 00:13:46 2023 lanczos halted after 90172 iterations (dim = 23014603) Wed May 3 00:15:23 2023 recovered 37 nontrivial dependencies Wed May 3 00:15:24 2023 BLanczosTime: 125269 Wed May 3 00:15:24 2023 elapsed time 34:47:50 Wed May 3 00:15:25 2023 Wed May 3 00:15:25 2023 Wed May 3 00:15:25 2023 Msieve v. 1.54 (SVN Unversioned directory) Wed May 3 00:15:25 2023 random seeds: 878c034f 641a5be8 Wed May 3 00:15:25 2023 MPI process 0 of 1 Wed May 3 00:15:25 2023 Using 32 OpenMP threads Wed May 3 00:15:25 2023 factoring 56027205889722432468365966009842220158549156297950709303666497071792530382254471014917775378812453380932086519075422242729040336357203425905409204982650213530622593212326359419145771636903719224728954541489513210789298747153189170082924026995241501919807781934265079 (266 digits) Wed May 3 00:15:26 2023 no P-1/P+1/ECM available, skipping Wed May 3 00:15:26 2023 commencing number field sieve (266-digit input) Wed May 3 00:15:26 2023 R0: 1427247692705959881058285969449495136382746624 Wed May 3 00:15:26 2023 R1: -608266787713357709119683992618861307 Wed May 3 00:15:26 2023 A0: 4 Wed May 3 00:15:26 2023 A1: 0 Wed May 3 00:15:26 2023 A2: 0 Wed May 3 00:15:26 2023 A3: 6 Wed May 3 00:15:26 2023 A4: 0 Wed May 3 00:15:26 2023 A5: 0 Wed May 3 00:15:26 2023 A6: 3 Wed May 3 00:15:26 2023 skew 1.05, size 2.738e-13, alpha 1.048, combined = 4.293e-14 rroots = 0 Wed May 3 00:15:26 2023 Wed May 3 00:15:26 2023 commencing square root phase Wed May 3 00:15:26 2023 reading relations for dependency 1 Wed May 3 00:15:29 2023 read 11508234 cycles Wed May 3 00:15:50 2023 cycles contain 40101508 unique relations Wed May 3 00:16:43 2023 read 40101508 relations Wed May 3 00:19:40 2023 multiplying 40101508 relations Wed May 3 00:22:14 2023 multiply complete, coefficients have about 1118.21 million bits Wed May 3 00:22:18 2023 initial square root is modulo 103811 Wed May 3 00:30:04 2023 sqrtTime: 878 Wed May 3 00:30:05 2023 p67 factor: 9883282683678180393404616264813709645348004978625770206116714142171 Wed May 3 00:30:05 2023 p199 factor: 5668886308619804244591406500379548874240765261137415247699817825536084541982825737047276867329396374305881032240356183901486508171742462026050127862137296728157139253101669910736109714984495317449749 Wed May 3 00:30:05 2023 elapsed time 00:14:40