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Mon Nov 20 16:53:07 2023 Msieve v. 1.53 (SVN 1005) Mon Nov 20 16:53:07 2023 random seeds: a627136c 254827dc Mon Nov 20 16:53:07 2023 factoring 1680971820674878509605232779943528925894082169784307705328411487111475846019905705371790662552166690293106002908144425059141289678746150239394059133325933 (154 digits) Mon Nov 20 16:53:07 2023 searching for 15-digit factors Mon Nov 20 16:53:07 2023 commencing number field sieve (154-digit input) Mon Nov 20 16:53:07 2023 R0: -491211779569422119566781827588 Mon Nov 20 16:53:07 2023 R1: 5160031832125632233833 Mon Nov 20 16:53:07 2023 A0: -74606284040669053157282301361621998 Mon Nov 20 16:53:07 2023 A1: 1295721544632871820523365515355 Mon Nov 20 16:53:07 2023 A2: 42440790427670693433636 Mon Nov 20 16:53:07 2023 A3: -2758321038453494537 Mon Nov 20 16:53:07 2023 A4: -223352939100 Mon Nov 20 16:53:07 2023 A5: 355320 Mon Nov 20 16:53:07 2023 skew 1296850.34, size 8.051e-015, alpha -6.651, combined = 4.004e-012 rroots = 5 Mon Nov 20 16:53:07 2023 Mon Nov 20 16:53:07 2023 commencing relation filtering Mon Nov 20 16:53:07 2023 setting target matrix density to 125.0 Mon Nov 20 16:53:07 2023 estimated available RAM is 16335.2 MB Mon Nov 20 16:53:07 2023 commencing duplicate removal, pass 1 Mon Nov 20 16:56:14 2023 error -9 reading relation 21482066 Mon Nov 20 16:56:14 2023 error -15 reading relation 21494041 Mon Nov 20 16:58:18 2023 error -9 reading relation 36992590 Mon Nov 20 16:58:29 2023 error -9 reading relation 38327461 Mon Nov 20 16:58:40 2023 error -1 reading relation 39521412 Mon Nov 20 16:58:46 2023 error -5 reading relation 40208527 Mon Nov 20 16:59:12 2023 error -15 reading relation 43670990 Mon Nov 20 16:59:39 2023 error -15 reading relation 47387347 Mon Nov 20 17:00:31 2023 error -15 reading relation 54121261 Mon Nov 20 17:03:28 2023 error -15 reading relation 75845067 Mon Nov 20 17:07:43 2023 error -1 reading relation 106402201 Mon Nov 20 17:08:15 2023 error -9 reading relation 110358196 Mon Nov 20 17:08:52 2023 error -9 reading relation 115273007 Mon Nov 20 17:09:03 2023 error -15 reading relation 116675245 Mon Nov 20 17:09:11 2023 error -15 reading relation 117806492 Mon Nov 20 17:09:11 2023 error -15 reading relation 117810623 Mon Nov 20 17:09:18 2023 error -15 reading relation 118789965 Mon Nov 20 17:09:22 2023 error -15 reading relation 119252378 Mon Nov 20 17:10:04 2023 error -15 reading relation 124470808 Mon Nov 20 17:11:09 2023 error -9 reading relation 132551357 Mon Nov 20 17:11:11 2023 error -9 reading relation 132830626 Mon Nov 20 17:11:13 2023 error -15 reading relation 133017193 Mon Nov 20 17:11:14 2023 error -15 reading relation 133205930 Mon Nov 20 17:11:15 2023 error -9 reading relation 133299254 Mon Nov 20 17:11:15 2023 error -15 reading relation 133383849 Mon Nov 20 17:11:17 2023 error -6 reading relation 133491381 Mon Nov 20 17:11:17 2023 error -15 reading relation 133570996 Mon Nov 20 17:11:17 2023 error -5 reading relation 133570997 Mon Nov 20 17:11:18 2023 error -1 reading relation 133662672 Mon Nov 20 17:11:19 2023 error -15 reading relation 133855638 Mon Nov 20 17:11:19 2023 error -1 reading relation 133855639 Mon Nov 20 17:11:20 2023 error -15 reading relation 134045837 Mon Nov 20 17:11:22 2023 error -9 reading relation 134240125 Mon Nov 20 17:11:22 2023 error -15 reading relation 134326965 Mon Nov 20 17:11:23 2023 error -15 reading relation 134432886 Mon Nov 20 17:11:24 2023 error -1 reading relation 134520634 Mon Nov 20 17:11:25 2023 error -1 reading relation 134707167 Mon Nov 20 17:11:26 2023 error -9 reading relation 134799430 Mon Nov 20 17:11:26 2023 error -15 reading relation 134890356 Mon Nov 20 17:11:27 2023 error -9 reading relation 134989477 Mon Nov 20 17:11:29 2023 error -1 reading relation 135278199 Mon Nov 20 17:11:29 2023 error -9 reading relation 135362270 Mon Nov 20 17:11:31 2023 error -15 reading relation 135576129 Mon Nov 20 17:11:31 2023 error -15 reading relation 135659813 Mon Nov 20 17:13:14 2023 error -1 reading relation 149566620 Mon Nov 20 17:14:29 2023 error -15 reading relation 159907521 Mon Nov 20 17:14:29 2023 error -9 reading relation 159985439 Mon Nov 20 17:16:57 2023 skipped 24 relations with composite factors Mon Nov 20 17:16:57 2023 found 22775306 hash collisions in 178064297 relations Mon Nov 20 17:17:23 2023 added 121718 free relations Mon Nov 20 17:17:23 2023 commencing duplicate removal, pass 2 Mon Nov 20 17:21:58 2023 found 19198252 duplicates and 158987763 unique relations Mon Nov 20 17:21:58 2023 memory use: 788.8 MB Mon Nov 20 17:21:58 2023 reading ideals above 55115776 Mon Nov 20 17:21:58 2023 commencing singleton removal, initial pass Mon Nov 20 17:40:18 2023 memory use: 3012.0 MB Mon Nov 20 17:40:18 2023 reading all ideals from disk Mon Nov 20 17:40:20 2023 memory use: 2766.7 MB Mon Nov 20 17:40:27 2023 commencing in-memory singleton removal Mon Nov 20 17:40:34 2023 begin with 158987763 relations and 136454683 unique ideals Mon Nov 20 17:41:37 2023 reduce to 89789004 relations and 59455478 ideals in 13 passes Mon Nov 20 17:41:37 2023 max relations containing the same ideal: 28 Mon Nov 20 17:41:45 2023 reading ideals above 720000 Mon Nov 20 17:41:45 2023 commencing singleton removal, initial pass Mon Nov 20 17:55:45 2023 memory use: 1506.0 MB Mon Nov 20 17:55:45 2023 reading all ideals from disk Mon Nov 20 17:55:46 2023 memory use: 3224.9 MB Mon Nov 20 17:55:57 2023 keeping 65559883 ideals with weight <= 200, target excess is 473607 Mon Nov 20 17:56:08 2023 commencing in-memory singleton removal Mon Nov 20 17:56:16 2023 begin with 89789007 relations and 65559883 unique ideals Mon Nov 20 17:56:56 2023 reduce to 89788784 relations and 65559657 ideals in 5 passes Mon Nov 20 17:56:56 2023 max relations containing the same ideal: 200 Mon Nov 20 17:57:45 2023 removing 8901591 relations and 6901591 ideals in 2000000 cliques Mon Nov 20 17:57:49 2023 commencing in-memory singleton removal Mon Nov 20 17:57:57 2023 begin with 80887193 relations and 65559657 unique ideals Mon Nov 20 17:58:58 2023 reduce to 80226251 relations and 57978490 ideals in 8 passes Mon Nov 20 17:58:58 2023 max relations containing the same ideal: 194 Mon Nov 20 17:59:43 2023 removing 6931334 relations and 4931334 ideals in 2000000 cliques Mon Nov 20 17:59:45 2023 commencing in-memory singleton removal Mon Nov 20 17:59:52 2023 begin with 73294917 relations and 57978490 unique ideals Mon Nov 20 18:00:37 2023 reduce to 72842293 relations and 52582908 ideals in 7 passes Mon Nov 20 18:00:37 2023 max relations containing the same ideal: 184 Mon Nov 20 18:01:14 2023 removing 6392395 relations and 4392395 ideals in 2000000 cliques Mon Nov 20 18:01:16 2023 commencing in-memory singleton removal Mon Nov 20 18:01:23 2023 begin with 66449898 relations and 52582908 unique ideals Mon Nov 20 18:02:03 2023 reduce to 66052636 relations and 47782684 ideals in 6 passes Mon Nov 20 18:02:03 2023 max relations containing the same ideal: 174 Mon Nov 20 18:02:37 2023 removing 6103965 relations and 4103965 ideals in 2000000 cliques Mon Nov 20 18:02:39 2023 commencing in-memory singleton removal Mon Nov 20 18:02:44 2023 begin with 59948671 relations and 47782684 unique ideals Mon Nov 20 18:03:23 2023 reduce to 59572852 relations and 43292354 ideals in 7 passes Mon Nov 20 18:03:23 2023 max relations containing the same ideal: 165 Mon Nov 20 18:04:08 2023 removing 5915232 relations and 3915232 ideals in 2000000 cliques Mon Nov 20 18:04:11 2023 commencing in-memory singleton removal Mon Nov 20 18:04:22 2023 begin with 53657620 relations and 43292354 unique ideals Mon Nov 20 18:05:03 2023 reduce to 53288285 relations and 38996299 ideals in 6 passes Mon Nov 20 18:05:03 2023 max relations containing the same ideal: 154 Mon Nov 20 18:05:47 2023 removing 5782353 relations and 3782353 ideals in 2000000 cliques Mon Nov 20 18:05:50 2023 commencing in-memory singleton removal Mon Nov 20 18:05:57 2023 begin with 47505932 relations and 38996299 unique ideals Mon Nov 20 18:06:47 2023 reduce to 47130983 relations and 34826341 ideals in 7 passes Mon Nov 20 18:06:47 2023 max relations containing the same ideal: 139 Mon Nov 20 18:07:30 2023 removing 5686114 relations and 3686114 ideals in 2000000 cliques Mon Nov 20 18:07:32 2023 commencing in-memory singleton removal Mon Nov 20 18:07:39 2023 begin with 41444869 relations and 34826341 unique ideals Mon Nov 20 18:08:14 2023 reduce to 41051131 relations and 30731692 ideals in 6 passes Mon Nov 20 18:08:14 2023 max relations containing the same ideal: 130 Mon Nov 20 18:08:49 2023 removing 5611993 relations and 3611993 ideals in 2000000 cliques Mon Nov 20 18:08:51 2023 commencing in-memory singleton removal Mon Nov 20 18:08:57 2023 begin with 35439138 relations and 30731692 unique ideals Mon Nov 20 18:09:28 2023 reduce to 35016624 relations and 26679198 ideals in 7 passes Mon Nov 20 18:09:28 2023 max relations containing the same ideal: 118 Mon Nov 20 18:09:57 2023 removing 5561379 relations and 3561379 ideals in 2000000 cliques Mon Nov 20 18:09:59 2023 commencing in-memory singleton removal Mon Nov 20 18:10:03 2023 begin with 29455245 relations and 26679198 unique ideals Mon Nov 20 18:10:29 2023 reduce to 28984458 relations and 22624136 ideals in 7 passes Mon Nov 20 18:10:29 2023 max relations containing the same ideal: 104 Mon Nov 20 18:10:53 2023 removing 5526846 relations and 3526846 ideals in 2000000 cliques Mon Nov 20 18:10:55 2023 commencing in-memory singleton removal Mon Nov 20 18:10:58 2023 begin with 23457612 relations and 22624136 unique ideals Mon Nov 20 18:11:17 2023 reduce to 22908304 relations and 18516211 ideals in 7 passes Mon Nov 20 18:11:17 2023 max relations containing the same ideal: 88 Mon Nov 20 18:11:38 2023 removing 5500749 relations and 3500749 ideals in 2000000 cliques Mon Nov 20 18:11:41 2023 commencing in-memory singleton removal Mon Nov 20 18:11:43 2023 begin with 17407555 relations and 18516211 unique ideals Mon Nov 20 18:12:01 2023 reduce to 16732881 relations and 14291262 ideals in 8 passes Mon Nov 20 18:12:01 2023 max relations containing the same ideal: 69 Mon Nov 20 18:12:17 2023 removing 5213190 relations and 3320956 ideals in 1892234 cliques Mon Nov 20 18:12:19 2023 commencing in-memory singleton removal Mon Nov 20 18:12:20 2023 begin with 11519691 relations and 14291262 unique ideals Mon Nov 20 18:12:31 2023 reduce to 10683947 relations and 10052075 ideals in 9 passes Mon Nov 20 18:12:31 2023 max relations containing the same ideal: 50 Mon Nov 20 18:12:38 2023 removing 430231 relations and 347744 ideals in 82487 cliques Mon Nov 20 18:12:39 2023 commencing in-memory singleton removal Mon Nov 20 18:12:40 2023 begin with 10253716 relations and 10052075 unique ideals Mon Nov 20 18:12:46 2023 reduce to 10239350 relations and 9689820 ideals in 6 passes Mon Nov 20 18:12:46 2023 max relations containing the same ideal: 49 Mon Nov 20 18:12:55 2023 relations with 0 large ideals: 1489 Mon Nov 20 18:12:55 2023 relations with 1 large ideals: 13473 Mon Nov 20 18:12:55 2023 relations with 2 large ideals: 167336 Mon Nov 20 18:12:55 2023 relations with 3 large ideals: 829288 Mon Nov 20 18:12:55 2023 relations with 4 large ideals: 2060462 Mon Nov 20 18:12:55 2023 relations with 5 large ideals: 2897877 Mon Nov 20 18:12:55 2023 relations with 6 large ideals: 2474390 Mon Nov 20 18:12:55 2023 relations with 7+ large ideals: 1795035 Mon Nov 20 18:12:55 2023 commencing 2-way merge Mon Nov 20 18:13:05 2023 reduce to 6530199 relation sets and 5980669 unique ideals Mon Nov 20 18:13:05 2023 commencing full merge Mon Nov 20 18:17:25 2023 memory use: 793.2 MB Mon Nov 20 18:17:27 2023 found 2955361 cycles, need 2914869 Mon Nov 20 18:17:27 2023 weight of 2914869 cycles is about 364873489 (125.18/cycle) Mon Nov 20 18:17:27 2023 distribution of cycle lengths: Mon Nov 20 18:17:27 2023 1 relations: 61117 Mon Nov 20 18:17:27 2023 2 relations: 139494 Mon Nov 20 18:17:27 2023 3 relations: 184661 Mon Nov 20 18:17:27 2023 4 relations: 204529 Mon Nov 20 18:17:27 2023 5 relations: 220443 Mon Nov 20 18:17:27 2023 6 relations: 223725 Mon Nov 20 18:17:27 2023 7 relations: 222620 Mon Nov 20 18:17:27 2023 8 relations: 213685 Mon Nov 20 18:17:27 2023 9 relations: 201236 Mon Nov 20 18:17:27 2023 10+ relations: 1243359 Mon Nov 20 18:17:27 2023 heaviest cycle: 28 relations Mon Nov 20 18:17:29 2023 commencing cycle optimization Mon Nov 20 18:17:36 2023 start with 27136950 relations Mon Nov 20 18:19:31 2023 pruned 1380151 relations Mon Nov 20 18:19:32 2023 memory use: 699.7 MB Mon Nov 20 18:19:32 2023 distribution of cycle lengths: Mon Nov 20 18:19:32 2023 1 relations: 61117 Mon Nov 20 18:19:32 2023 2 relations: 143596 Mon Nov 20 18:19:32 2023 3 relations: 193345 Mon Nov 20 18:19:32 2023 4 relations: 214651 Mon Nov 20 18:19:32 2023 5 relations: 233600 Mon Nov 20 18:19:32 2023 6 relations: 237078 Mon Nov 20 18:19:32 2023 7 relations: 236674 Mon Nov 20 18:19:32 2023 8 relations: 226058 Mon Nov 20 18:19:32 2023 9 relations: 212381 Mon Nov 20 18:19:32 2023 10+ relations: 1156369 Mon Nov 20 18:19:32 2023 heaviest cycle: 27 relations Mon Nov 20 18:19:38 2023 RelProcTime: 5191 Mon Nov 20 18:19:38 2023 Mon Nov 20 18:19:38 2023 commencing linear algebra Mon Nov 20 18:19:39 2023 read 2914869 cycles Mon Nov 20 18:19:48 2023 cycles contain 9957300 unique relations Mon Nov 20 18:25:36 2023 read 9957300 relations Mon Nov 20 18:26:03 2023 using 20 quadratic characters above 4294917295 Mon Nov 20 18:26:53 2023 building initial matrix Mon Nov 20 18:30:11 2023 memory use: 1380.0 MB Mon Nov 20 18:31:12 2023 read 2914869 cycles Mon Nov 20 18:31:13 2023 matrix is 2914691 x 2914869 (1416.2 MB) with weight 431577163 (148.06/col) Mon Nov 20 18:31:13 2023 sparse part has weight 336276970 (115.37/col) Mon Nov 20 18:32:07 2023 filtering completed in 2 passes Mon Nov 20 18:32:07 2023 matrix is 2914571 x 2914749 (1416.2 MB) with weight 431569088 (148.06/col) Mon Nov 20 18:32:07 2023 sparse part has weight 336273121 (115.37/col) Mon Nov 20 18:32:58 2023 matrix starts at (0, 0) Mon Nov 20 18:32:58 2023 matrix is 2914571 x 2914749 (1416.2 MB) with weight 431569088 (148.06/col) Mon Nov 20 18:32:58 2023 sparse part has weight 336273121 (115.37/col) Mon Nov 20 18:32:59 2023 saving the first 48 matrix rows for later Mon Nov 20 18:33:00 2023 matrix includes 64 packed rows Mon Nov 20 18:33:00 2023 matrix is 2914523 x 2914749 (1377.7 MB) with weight 371543198 (127.47/col) Mon Nov 20 18:33:00 2023 sparse part has weight 332009782 (113.91/col) Mon Nov 20 18:33:01 2023 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Mon Nov 20 18:33:20 2023 commencing Lanczos iteration (4 threads) Mon Nov 20 18:33:20 2023 memory use: 1134.7 MB Mon Nov 20 18:33:44 2023 linear algebra at 0.1%, ETA 12h13m Mon Nov 20 18:33:51 2023 checkpointing every 250000 dimensions Mon Nov 20 18:36:40 2023 lanczos halted after 212 iterations (dim = 13404) Mon Nov 20 18:36:41 2023 BLanczosTime: 1023 Mon Nov 20 18:36:41 2023 Mon Nov 20 18:36:41 2023 commencing square root phase Mon Nov 20 18:36:41 2023 handling dependencies 1 to 64 Mon Nov 20 18:36:41 2023 reading relations for dependency 1 Mon Nov 20 18:36:41 2023 error: read_cycles can't open dependency file Mon Nov 20 22:16:52 2023 Mon Nov 20 22:16:53 2023 Mon Nov 20 22:16:53 2023 Msieve v. 1.53 (SVN 1005) Mon Nov 20 22:16:53 2023 random seeds: b313ac3c 601b86ae Mon Nov 20 22:16:53 2023 factoring 1680971820674878509605232779943528925894082169784307705328411487111475846019905705371790662552166690293106002908144425059141289678746150239394059133325933 (154 digits) Mon Nov 20 22:16:53 2023 searching for 15-digit factors Mon Nov 20 22:16:53 2023 commencing number field sieve (154-digit input) Mon Nov 20 22:16:53 2023 R0: -491211779569422119566781827588 Mon Nov 20 22:16:53 2023 R1: 5160031832125632233833 Mon Nov 20 22:16:53 2023 A0: -74606284040669053157282301361621998 Mon Nov 20 22:16:53 2023 A1: 1295721544632871820523365515355 Mon Nov 20 22:16:53 2023 A2: 42440790427670693433636 Mon Nov 20 22:16:53 2023 A3: -2758321038453494537 Mon Nov 20 22:16:53 2023 A4: -223352939100 Mon Nov 20 22:16:53 2023 A5: 355320 Mon Nov 20 22:16:53 2023 skew 1296850.34, size 8.051e-015, alpha -6.651, combined = 4.004e-012 rroots = 5 Mon Nov 20 22:16:53 2023 Mon Nov 20 22:16:53 2023 commencing linear algebra Mon Nov 20 22:18:11 2023 matrix starts at (0, 0) Mon Nov 20 22:18:11 2023 matrix is 2914571 x 2914749 (1416.2 MB) with weight 431569088 (148.06/col) Mon Nov 20 22:18:11 2023 sparse part has weight 336273121 (115.37/col) Mon Nov 20 22:18:11 2023 saving the first 48 matrix rows for later Mon Nov 20 22:18:12 2023 matrix includes 64 packed rows Mon Nov 20 22:18:12 2023 matrix is 2914523 x 2914749 (1377.7 MB) with weight 371543198 (127.47/col) Mon Nov 20 22:18:12 2023 sparse part has weight 332009782 (113.91/col) Mon Nov 20 22:18:12 2023 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Mon Nov 20 22:18:27 2023 commencing Lanczos iteration (4 threads) Mon Nov 20 22:18:27 2023 memory use: 1134.7 MB Mon Nov 20 22:18:28 2023 restarting at iteration 212 (dim = 13404) Mon Nov 20 22:18:33 2023 checkpointing every 460000 dimensions Mon Nov 20 22:18:39 2023 linear algebra at 0.5%, ETA 5h49m Tue Nov 21 03:11:08 2023 lanczos halted after 46091 iterations (dim = 2914518) Tue Nov 21 03:11:11 2023 recovered 27 nontrivial dependencies Tue Nov 21 03:11:12 2023 BLanczosTime: 17659 Tue Nov 21 03:11:12 2023 elapsed time 04:54:19 Tue Nov 21 06:17:51 2023 Tue Nov 21 06:17:51 2023 Tue Nov 21 06:17:51 2023 Msieve v. 1.53 (SVN 1005) Tue Nov 21 06:17:51 2023 random seeds: 4c59fd30 33f126b6 Tue Nov 21 06:17:51 2023 factoring 1680971820674878509605232779943528925894082169784307705328411487111475846019905705371790662552166690293106002908144425059141289678746150239394059133325933 (154 digits) Tue Nov 21 06:17:51 2023 searching for 15-digit factors Tue Nov 21 06:17:52 2023 commencing number field sieve (154-digit input) Tue Nov 21 06:17:52 2023 R0: -491211779569422119566781827588 Tue Nov 21 06:17:52 2023 R1: 5160031832125632233833 Tue Nov 21 06:17:52 2023 A0: -74606284040669053157282301361621998 Tue Nov 21 06:17:52 2023 A1: 1295721544632871820523365515355 Tue Nov 21 06:17:52 2023 A2: 42440790427670693433636 Tue Nov 21 06:17:52 2023 A3: -2758321038453494537 Tue Nov 21 06:17:52 2023 A4: -223352939100 Tue Nov 21 06:17:52 2023 A5: 355320 Tue Nov 21 06:17:52 2023 skew 1296850.34, size 8.051e-015, alpha -6.651, combined = 4.004e-012 rroots = 5 Tue Nov 21 06:17:52 2023 Tue Nov 21 06:17:52 2023 commencing square root phase Tue Nov 21 06:17:52 2023 handling dependencies 1 to 64 Tue Nov 21 06:17:52 2023 reading relations for dependency 1 Tue Nov 21 06:17:53 2023 read 1457051 cycles Tue Nov 21 06:17:56 2023 cycles contain 4976364 unique relations Tue Nov 21 06:22:52 2023 read 4976364 relations Tue Nov 21 06:23:13 2023 multiplying 4976364 relations Tue Nov 21 06:27:33 2023 multiply complete, coefficients have about 264.28 million bits Tue Nov 21 06:27:35 2023 initial square root is modulo 55313 Tue Nov 21 06:32:40 2023 sqrtTime: 888 Tue Nov 21 06:32:40 2023 p67 factor: 4495564795864312302271905299015647236006891501964175625051647458243 Tue Nov 21 06:32:40 2023 p87 factor: 373917827237477673032871927067530249612912723126084973434186609554316746272281197282831 Tue Nov 21 06:32:40 2023 elapsed time 00:14:49
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