Sat Feb 18 13:52:35 2023 Sat Feb 18 13:52:35 2023 Sat Feb 18 13:52:35 2023 Msieve v. 1.54 (SVN Unversioned directory) Sat Feb 18 13:52:35 2023 random seeds: 1217bef4 5246f41c Sat Feb 18 13:52:35 2023 MPI process 0 of 1 Sat Feb 18 13:52:35 2023 Using 46 OpenMP threads Sat Feb 18 13:52:35 2023 factoring 1868280873312135117644047152862835337118533615130978388536829084843210323639610140115526505956569404682404801279232199262348556953881744705154139753109603465414237598385287499440166151977341049063847363707688779296213573094939 (226 digits) Sat Feb 18 13:52:36 2023 no P-1/P+1/ECM available, skipping Sat Feb 18 13:52:36 2023 commencing number field sieve (226-digit input) Sat Feb 18 13:52:36 2023 R0: 616873509628062366290756156815389726793178407 Sat Feb 18 13:52:36 2023 R1: -9007199254740992 Sat Feb 18 13:52:36 2023 A0: -7 Sat Feb 18 13:52:36 2023 A1: 0 Sat Feb 18 13:52:36 2023 A2: 0 Sat Feb 18 13:52:36 2023 A3: 0 Sat Feb 18 13:52:36 2023 A4: 0 Sat Feb 18 13:52:36 2023 A5: 0 Sat Feb 18 13:52:36 2023 A6: 2 Sat Feb 18 13:52:36 2023 skew 1.23, size 3.004e-13, alpha 1.750, combined = 4.644e-14 rroots = 2 Sat Feb 18 13:52:36 2023 Sat Feb 18 13:52:36 2023 commencing relation filtering Sat Feb 18 13:52:36 2023 setting target matrix density to 110.0 Sat Feb 18 13:52:36 2023 estimated available RAM is 192069.2 MB Sat Feb 18 13:52:36 2023 commencing duplicate removal, pass 1 Sat Feb 18 13:53:55 2023 error -1 reading relation 110494860 Sat Feb 18 13:54:13 2023 error -5 reading relation 134599537 Sat Feb 18 13:55:02 2023 error -5 reading relation 203119410 Sat Feb 18 13:56:15 2023 error -15 reading relation 304419341 Sat Feb 18 13:56:33 2023 skipped 1138 relations with b > 2^32 Sat Feb 18 13:56:33 2023 skipped 1 relations with composite factors Sat Feb 18 13:56:33 2023 skipped 452 malformed relations Sat Feb 18 13:56:33 2023 found 12022774 hash collisions in 329572316 relations Sat Feb 18 13:56:49 2023 added 1218706 free relations Sat Feb 18 13:56:49 2023 commencing duplicate removal, pass 2 Sat Feb 18 13:58:09 2023 found 0 duplicates and 330791022 unique relations Sat Feb 18 13:58:09 2023 memory use: 1044.8 MB Sat Feb 18 13:58:09 2023 reading ideals above 720000 Sat Feb 18 13:58:09 2023 commencing singleton removal, initial pass Sat Feb 18 14:10:34 2023 memory use: 11024.0 MB Sat Feb 18 14:10:34 2023 reading all ideals from disk Sat Feb 18 14:10:44 2023 memory use: 16447.5 MB Sat Feb 18 14:11:08 2023 keeping 329969588 ideals with weight <= 200, target excess is 1695792 Sat Feb 18 14:11:40 2023 commencing in-memory singleton removal Sat Feb 18 14:11:43 2023 begin with 330791022 relations and 329969588 unique ideals Sat Feb 18 14:12:02 2023 reduce to 183355601 relations and 164368005 ideals in 19 passes Sat Feb 18 14:12:02 2023 max relations containing the same ideal: 142 Sat Feb 18 14:12:54 2023 removing 16147419 relations and 14147419 ideals in 2000000 cliques Sat Feb 18 14:13:03 2023 commencing in-memory singleton removal Sat Feb 18 14:13:05 2023 begin with 167208182 relations and 164368005 unique ideals Sat Feb 18 14:13:13 2023 reduce to 165964011 relations and 148957089 ideals in 12 passes Sat Feb 18 14:13:13 2023 max relations containing the same ideal: 132 Sat Feb 18 14:14:01 2023 removing 12104051 relations and 10104051 ideals in 2000000 cliques Sat Feb 18 14:14:08 2023 commencing in-memory singleton removal Sat Feb 18 14:14:10 2023 begin with 153859960 relations and 148957089 unique ideals Sat Feb 18 14:14:16 2023 reduce to 153070740 relations and 138053353 ideals in 9 passes Sat Feb 18 14:14:16 2023 max relations containing the same ideal: 129 Sat Feb 18 14:15:00 2023 removing 10865058 relations and 8865058 ideals in 2000000 cliques Sat Feb 18 14:15:07 2023 commencing in-memory singleton removal Sat Feb 18 14:15:09 2023 begin with 142205682 relations and 138053353 unique ideals Sat Feb 18 14:15:14 2023 reduce to 141515811 relations and 128489263 ideals in 9 passes Sat Feb 18 14:15:14 2023 max relations containing the same ideal: 122 Sat Feb 18 14:15:55 2023 removing 10231074 relations and 8231074 ideals in 2000000 cliques Sat Feb 18 14:16:02 2023 commencing in-memory singleton removal Sat Feb 18 14:16:03 2023 begin with 131284737 relations and 128489263 unique ideals Sat Feb 18 14:16:08 2023 reduce to 130625379 relations and 119589999 ideals in 8 passes Sat Feb 18 14:16:08 2023 max relations containing the same ideal: 115 Sat Feb 18 14:16:47 2023 removing 9855246 relations and 7855246 ideals in 2000000 cliques Sat Feb 18 14:16:53 2023 commencing in-memory singleton removal Sat Feb 18 14:16:54 2023 begin with 120770133 relations and 119589999 unique ideals Sat Feb 18 14:16:59 2023 reduce to 120112575 relations and 111067863 ideals in 9 passes Sat Feb 18 14:16:59 2023 max relations containing the same ideal: 111 Sat Feb 18 14:17:35 2023 removing 9620046 relations and 7620046 ideals in 2000000 cliques Sat Feb 18 14:17:41 2023 commencing in-memory singleton removal Sat Feb 18 14:17:42 2023 begin with 110492529 relations and 111067863 unique ideals Sat Feb 18 14:17:46 2023 reduce to 109815166 relations and 102760177 ideals in 9 passes Sat Feb 18 14:17:46 2023 max relations containing the same ideal: 104 Sat Feb 18 14:18:19 2023 removing 9480543 relations and 7480543 ideals in 2000000 cliques Sat Feb 18 14:18:24 2023 commencing in-memory singleton removal Sat Feb 18 14:18:25 2023 begin with 100334623 relations and 102760177 unique ideals Sat Feb 18 14:18:29 2023 reduce to 99612308 relations and 94545498 ideals in 9 passes Sat Feb 18 14:18:29 2023 max relations containing the same ideal: 98 Sat Feb 18 14:18:58 2023 removing 9415497 relations and 7415497 ideals in 2000000 cliques Sat Feb 18 14:19:03 2023 commencing in-memory singleton removal Sat Feb 18 14:19:04 2023 begin with 90196811 relations and 94545498 unique ideals Sat Feb 18 14:19:08 2023 reduce to 89417587 relations and 86336850 ideals in 9 passes Sat Feb 18 14:19:08 2023 max relations containing the same ideal: 93 Sat Feb 18 14:19:35 2023 removing 5938219 relations and 4824601 ideals in 1113618 cliques Sat Feb 18 14:19:39 2023 commencing in-memory singleton removal Sat Feb 18 14:19:40 2023 begin with 83479368 relations and 86336850 unique ideals Sat Feb 18 14:19:43 2023 reduce to 83154830 relations and 81184114 ideals in 8 passes Sat Feb 18 14:19:43 2023 max relations containing the same ideal: 84 Sat Feb 18 14:20:23 2023 relations with 0 large ideals: 63977 Sat Feb 18 14:20:23 2023 relations with 1 large ideals: 32093 Sat Feb 18 14:20:23 2023 relations with 2 large ideals: 393708 Sat Feb 18 14:20:23 2023 relations with 3 large ideals: 2466388 Sat Feb 18 14:20:23 2023 relations with 4 large ideals: 8457872 Sat Feb 18 14:20:23 2023 relations with 5 large ideals: 17402300 Sat Feb 18 14:20:23 2023 relations with 6 large ideals: 22361772 Sat Feb 18 14:20:23 2023 relations with 7+ large ideals: 31976720 Sat Feb 18 14:20:23 2023 commencing 2-way merge Sat Feb 18 14:21:01 2023 reduce to 51056906 relation sets and 49086190 unique ideals Sat Feb 18 14:21:01 2023 commencing full merge Sat Feb 18 14:35:19 2023 memory use: 6283.9 MB Sat Feb 18 14:35:23 2023 found 23393517 cycles, need 23252390 Sat Feb 18 14:35:30 2023 weight of 23252390 cycles is about 2558134792 (110.02/cycle) Sat Feb 18 14:35:30 2023 distribution of cycle lengths: Sat Feb 18 14:35:30 2023 1 relations: 2172464 Sat Feb 18 14:35:30 2023 2 relations: 1992067 Sat Feb 18 14:35:30 2023 3 relations: 1928610 Sat Feb 18 14:35:30 2023 4 relations: 1800267 Sat Feb 18 14:35:30 2023 5 relations: 1712050 Sat Feb 18 14:35:30 2023 6 relations: 1609515 Sat Feb 18 14:35:30 2023 7 relations: 1506259 Sat Feb 18 14:35:30 2023 8 relations: 1401509 Sat Feb 18 14:35:30 2023 9 relations: 1288199 Sat Feb 18 14:35:30 2023 10+ relations: 7841450 Sat Feb 18 14:35:30 2023 heaviest cycle: 28 relations Sat Feb 18 14:35:39 2023 commencing cycle optimization Sat Feb 18 14:36:17 2023 start with 182877926 relations Sat Feb 18 14:41:45 2023 pruned 6359445 relations Sat Feb 18 14:41:45 2023 memory use: 5257.5 MB Sat Feb 18 14:41:45 2023 distribution of cycle lengths: Sat Feb 18 14:41:45 2023 1 relations: 2172464 Sat Feb 18 14:41:45 2023 2 relations: 2036273 Sat Feb 18 14:41:45 2023 3 relations: 1999412 Sat Feb 18 14:41:45 2023 4 relations: 1858773 Sat Feb 18 14:41:45 2023 5 relations: 1775435 Sat Feb 18 14:41:45 2023 6 relations: 1659436 Sat Feb 18 14:41:45 2023 7 relations: 1556857 Sat Feb 18 14:41:45 2023 8 relations: 1439100 Sat Feb 18 14:41:45 2023 9 relations: 1318988 Sat Feb 18 14:41:45 2023 10+ relations: 7435652 Sat Feb 18 14:41:45 2023 heaviest cycle: 28 relations Sat Feb 18 14:42:35 2023 RelProcTime: 2999 Sat Feb 18 14:42:35 2023 elapsed time 00:50:00 Sat Feb 18 14:42:36 2023 Sat Feb 18 14:42:36 2023 Sat Feb 18 14:42:36 2023 Msieve v. 1.54 (SVN Unversioned directory) Sat Feb 18 14:42:36 2023 random seeds: 85b8e6bb 40c466f1 Sat Feb 18 14:42:36 2023 MPI process 0 of 1 Sat Feb 18 14:42:36 2023 Using 46 OpenMP threads Sat Feb 18 14:42:36 2023 factoring 1868280873312135117644047152862835337118533615130978388536829084843210323639610140115526505956569404682404801279232199262348556953881744705154139753109603465414237598385287499440166151977341049063847363707688779296213573094939 (226 digits) Sat Feb 18 14:42:37 2023 no P-1/P+1/ECM available, skipping Sat Feb 18 14:42:37 2023 commencing number field sieve (226-digit input) Sat Feb 18 14:42:37 2023 R0: 616873509628062366290756156815389726793178407 Sat Feb 18 14:42:37 2023 R1: -9007199254740992 Sat Feb 18 14:42:37 2023 A0: -7 Sat Feb 18 14:42:37 2023 A1: 0 Sat Feb 18 14:42:37 2023 A2: 0 Sat Feb 18 14:42:37 2023 A3: 0 Sat Feb 18 14:42:37 2023 A4: 0 Sat Feb 18 14:42:37 2023 A5: 0 Sat Feb 18 14:42:37 2023 A6: 2 Sat Feb 18 14:42:37 2023 skew 1.23, size 3.004e-13, alpha 1.750, combined = 4.644e-14 rroots = 2 Sat Feb 18 14:42:37 2023 Sat Feb 18 14:42:37 2023 commencing linear algebra Sat Feb 18 14:42:37 2023 using VBITS=128 Sat Feb 18 14:42:37 2023 stopping after matrix build Sat Feb 18 14:42:37 2023 initialized process (0,0) of 1 x 1 grid Sat Feb 18 14:42:41 2023 read 23252390 cycles Sat Feb 18 14:43:23 2023 cycles contain 81704835 unique relations Sat Feb 18 14:44:15 2023 read 81704835 relations Sat Feb 18 14:44:20 2023 using 20 quadratic characters above 4294917295 Sat Feb 18 14:44:30 2023 building initial matrix Sat Feb 18 15:00:59 2023 memory use: 10464.3 MB Sat Feb 18 15:01:23 2023 read 23252390 cycles Sat Feb 18 15:01:26 2023 matrix is 23252211 x 23252390 (10103.8 MB) with weight 2888684557 (124.23/col) Sat Feb 18 15:01:26 2023 sparse part has weight 2416121605 (103.91/col) Sat Feb 18 15:06:38 2023 filtering completed in 2 passes Sat Feb 18 15:06:42 2023 matrix is 23248437 x 23248614 (10103.5 MB) with weight 2888557285 (124.25/col) Sat Feb 18 15:06:42 2023 sparse part has weight 2416074226 (103.92/col) Sat Feb 18 15:07:43 2023 BLanczosTime: 1506 Sat Feb 18 15:07:43 2023 elapsed time 00:25:07 Sat Feb 18 15:07:44 2023 Sat Feb 18 15:07:44 2023 Sat Feb 18 15:07:44 2023 Msieve v. 1.54 (SVN Unversioned directory) Sat Feb 18 15:07:44 2023 random seeds: d1855d46 140d9e84 Sat Feb 18 15:07:44 2023 MPI process 0 of 2 Sat Feb 18 15:07:44 2023 Using 23 OpenMP threads Sat Feb 18 15:07:44 2023 factoring 1868280873312135117644047152862835337118533615130978388536829084843210323639610140115526505956569404682404801279232199262348556953881744705154139753109603465414237598385287499440166151977341049063847363707688779296213573094939 (226 digits) Sat Feb 18 15:07:46 2023 no P-1/P+1/ECM available, skipping Sat Feb 18 15:07:46 2023 commencing number field sieve (226-digit input) Sat Feb 18 15:07:46 2023 R0: 616873509628062366290756156815389726793178407 Sat Feb 18 15:07:46 2023 R1: -9007199254740992 Sat Feb 18 15:07:46 2023 A0: -7 Sat Feb 18 15:07:46 2023 A1: 0 Sat Feb 18 15:07:46 2023 A2: 0 Sat Feb 18 15:07:46 2023 A3: 0 Sat Feb 18 15:07:46 2023 A4: 0 Sat Feb 18 15:07:46 2023 A5: 0 Sat Feb 18 15:07:46 2023 A6: 2 Sat Feb 18 15:07:46 2023 skew 1.23, size 3.004e-13, alpha 1.750, combined = 4.644e-14 rroots = 2 Sat Feb 18 15:07:46 2023 Sat Feb 18 15:07:46 2023 commencing linear algebra Sat Feb 18 15:07:46 2023 using VBITS=256 Sat Feb 18 15:07:46 2023 skipping matrix build Sat Feb 18 15:07:46 2023 initialized process (0,0) of 1 x 2 grid Sat Feb 18 15:07:56 2023 matrix starts at (0, 0) Sat Feb 18 15:07:58 2023 matrix is 23248437 x 11624319 (5051.7 MB) with weight 1444287700 (124.25/col) Sat Feb 18 15:07:58 2023 sparse part has weight 1208037266 (103.92/col) Sat Feb 18 15:07:58 2023 saving the first 240 matrix rows for later Sat Feb 18 15:08:04 2023 matrix includes 256 packed rows Sat Feb 18 15:08:09 2023 matrix is 23248197 x 11624319 (4687.0 MB) with weight 1095427246 (94.24/col) Sat Feb 18 15:08:09 2023 sparse part has weight 1042672587 (89.70/col) Sat Feb 18 15:08:09 2023 using GPU 0 (Tesla T4) Sat Feb 18 15:08:09 2023 selected card has CUDA arch 7.5 Sat Feb 18 15:09:56 2023 commencing Lanczos iteration Sat Feb 18 15:09:57 2023 memory use: 11990.2 MB Sat Feb 18 15:12:45 2023 linear algebra at 0.1%, ETA 34h56m Sat Feb 18 15:16:55 2023 checking every 10000 dimensions, checkpointing every 670000 dimensions Mon Feb 20 02:14:24 2023 lanczos halted after 91086 iterations (dim = 23248197) Mon Feb 20 02:16:06 2023 recovered 38 nontrivial dependencies Mon Feb 20 02:16:07 2023 BLanczosTime: 126501 Mon Feb 20 02:16:07 2023 elapsed time 35:08:23 Mon Feb 20 02:16:08 2023 Mon Feb 20 02:16:08 2023 Mon Feb 20 02:16:08 2023 Msieve v. 1.54 (SVN Unversioned directory) Mon Feb 20 02:16:08 2023 random seeds: f1a54611 9f5a4811 Mon Feb 20 02:16:08 2023 MPI process 0 of 1 Mon Feb 20 02:16:08 2023 Using 46 OpenMP threads Mon Feb 20 02:16:08 2023 factoring 1868280873312135117644047152862835337118533615130978388536829084843210323639610140115526505956569404682404801279232199262348556953881744705154139753109603465414237598385287499440166151977341049063847363707688779296213573094939 (226 digits) Mon Feb 20 02:16:09 2023 no P-1/P+1/ECM available, skipping Mon Feb 20 02:16:09 2023 commencing number field sieve (226-digit input) Mon Feb 20 02:16:09 2023 R0: 616873509628062366290756156815389726793178407 Mon Feb 20 02:16:09 2023 R1: -9007199254740992 Mon Feb 20 02:16:09 2023 A0: -7 Mon Feb 20 02:16:09 2023 A1: 0 Mon Feb 20 02:16:09 2023 A2: 0 Mon Feb 20 02:16:09 2023 A3: 0 Mon Feb 20 02:16:09 2023 A4: 0 Mon Feb 20 02:16:09 2023 A5: 0 Mon Feb 20 02:16:09 2023 A6: 2 Mon Feb 20 02:16:09 2023 skew 1.23, size 3.004e-13, alpha 1.750, combined = 4.644e-14 rroots = 2 Mon Feb 20 02:16:09 2023 Mon Feb 20 02:16:09 2023 commencing square root phase Mon Feb 20 02:16:09 2023 reading relations for dependency 1 Mon Feb 20 02:16:12 2023 read 11625911 cycles Mon Feb 20 02:16:33 2023 cycles contain 40857122 unique relations Mon Feb 20 02:17:22 2023 read 40857122 relations Mon Feb 20 02:20:05 2023 multiplying 40857122 relations Mon Feb 20 02:35:33 2023 multiply complete, coefficients have about 1116.85 million bits Mon Feb 20 02:35:36 2023 initial square root is modulo 102409 Mon Feb 20 02:43:25 2023 GCD is N, no factor found Mon Feb 20 02:43:25 2023 reading relations for dependency 2 Mon Feb 20 02:43:28 2023 read 11624447 cycles Mon Feb 20 02:43:53 2023 cycles contain 40852644 unique relations Mon Feb 20 02:44:45 2023 read 40852644 relations Mon Feb 20 02:47:41 2023 multiplying 40852644 relations Mon Feb 20 03:03:11 2023 multiply complete, coefficients have about 1116.74 million bits Mon Feb 20 03:03:15 2023 initial square root is modulo 102217 Mon Feb 20 03:11:08 2023 sqrtTime: 3299 Mon Feb 20 03:11:09 2023 p90 factor: 719597993535968844316457125415655515610857889903087947388208999775463638277484045257491003 Mon Feb 20 03:11:09 2023 p136 factor: 2596284161566036630194404458246594363249726177076552843198597981805933349378464960041123850140050970693858950595498974401925468237137313 Mon Feb 20 03:11:09 2023 elapsed time 00:55:01