Fri Dec 31 20:09:53 2021 Fri Dec 31 20:09:53 2021 Fri Dec 31 20:09:53 2021 Msieve v. 1.54 (SVN unknown) Fri Dec 31 20:09:53 2021 random seeds: d957cbb1 0f5f70d3 Fri Dec 31 20:09:53 2021 factoring 135955511998340412322366313210236412380395553121451449354614398884457205189093355500536124682754893375772149744892302887930373235692012752324818396709584756833329517737934165807883106603862241719241095108651 (207 digits) Fri Dec 31 20:09:54 2021 no P-1/P+1/ECM available, skipping Fri Dec 31 20:09:54 2021 commencing number field sieve (207-digit input) Fri Dec 31 20:09:54 2021 R0: 19218208204061420880371405742883045556751744602 Fri Dec 31 20:09:54 2021 R1: -138629752232561610678949 Fri Dec 31 20:09:54 2021 A0: 1 Fri Dec 31 20:09:54 2021 A1: 3 Fri Dec 31 20:09:54 2021 A2: -3 Fri Dec 31 20:09:54 2021 A3: -4 Fri Dec 31 20:09:54 2021 A4: 1 Fri Dec 31 20:09:54 2021 A5: 1 Fri Dec 31 20:09:54 2021 skew 1.00, size 9.497e-16, alpha 2.379, combined = 9.072e-13 rroots = 5 Fri Dec 31 20:09:54 2021 Fri Dec 31 20:09:54 2021 commencing relation filtering Fri Dec 31 20:09:54 2021 setting target matrix density to 110.0 Fri Dec 31 20:09:54 2021 estimated available RAM is 515600.8 MB Fri Dec 31 20:09:54 2021 commencing duplicate removal, pass 1 Fri Dec 31 20:10:35 2021 error -9 reading relation 9004638 Fri Dec 31 20:11:21 2021 error -9 reading relation 19091553 Fri Dec 31 20:13:05 2021 error -15 reading relation 41693661 Fri Dec 31 20:13:24 2021 error -9 reading relation 45911322 Fri Dec 31 20:14:00 2021 error -15 reading relation 53711103 Fri Dec 31 20:14:54 2021 error -9 reading relation 65519716 Fri Dec 31 20:18:01 2021 skipped 38 relations with b > 2^32 Fri Dec 31 20:18:01 2021 skipped 4 relations with composite factors Fri Dec 31 20:18:01 2021 found 4818643 hash collisions in 105090429 relations Fri Dec 31 20:18:01 2021 commencing duplicate removal, pass 2 Fri Dec 31 20:18:19 2021 found 0 duplicates and 105090429 unique relations Fri Dec 31 20:18:19 2021 memory use: 261.2 MB Fri Dec 31 20:18:19 2021 reading ideals above 720000 Fri Dec 31 20:18:19 2021 commencing singleton removal, initial pass Fri Dec 31 20:26:40 2021 memory use: 2756.0 MB Fri Dec 31 20:26:40 2021 reading all ideals from disk Fri Dec 31 20:26:40 2021 memory use: 3995.7 MB Fri Dec 31 20:26:44 2021 keeping 92654476 ideals with weight <= 200, target excess is 520350 Fri Dec 31 20:26:49 2021 commencing in-memory singleton removal Fri Dec 31 20:26:52 2021 begin with 105090429 relations and 92654476 unique ideals Fri Dec 31 20:27:23 2021 reduce to 74198715 relations and 59018898 ideals in 12 passes Fri Dec 31 20:27:23 2021 max relations containing the same ideal: 168 Fri Dec 31 20:27:39 2021 removing 8256701 relations and 6256701 ideals in 2000000 cliques Fri Dec 31 20:27:41 2021 commencing in-memory singleton removal Fri Dec 31 20:27:43 2021 begin with 65942014 relations and 59018898 unique ideals Fri Dec 31 20:28:00 2021 reduce to 65136320 relations and 51929168 ideals in 8 passes Fri Dec 31 20:28:00 2021 max relations containing the same ideal: 153 Fri Dec 31 20:28:14 2021 removing 6687130 relations and 4687130 ideals in 2000000 cliques Fri Dec 31 20:28:16 2021 commencing in-memory singleton removal Fri Dec 31 20:28:18 2021 begin with 58449190 relations and 51929168 unique ideals Fri Dec 31 20:28:31 2021 reduce to 57871939 relations and 46646848 ideals in 7 passes Fri Dec 31 20:28:31 2021 max relations containing the same ideal: 144 Fri Dec 31 20:28:44 2021 removing 6270205 relations and 4270205 ideals in 2000000 cliques Fri Dec 31 20:28:46 2021 commencing in-memory singleton removal Fri Dec 31 20:28:47 2021 begin with 51601734 relations and 46646848 unique ideals Fri Dec 31 20:28:59 2021 reduce to 51056670 relations and 41813607 ideals in 7 passes Fri Dec 31 20:28:59 2021 max relations containing the same ideal: 130 Fri Dec 31 20:29:10 2021 removing 6089796 relations and 4089796 ideals in 2000000 cliques Fri Dec 31 20:29:12 2021 commencing in-memory singleton removal Fri Dec 31 20:29:13 2021 begin with 44966874 relations and 41813607 unique ideals Fri Dec 31 20:29:23 2021 reduce to 44402438 relations and 37139143 ideals in 7 passes Fri Dec 31 20:29:23 2021 max relations containing the same ideal: 121 Fri Dec 31 20:29:34 2021 removing 6014538 relations and 4014538 ideals in 2000000 cliques Fri Dec 31 20:29:35 2021 commencing in-memory singleton removal Fri Dec 31 20:29:36 2021 begin with 38387900 relations and 37139143 unique ideals Fri Dec 31 20:29:46 2021 reduce to 37769463 relations and 32481213 ideals in 8 passes Fri Dec 31 20:29:46 2021 max relations containing the same ideal: 105 Fri Dec 31 20:29:55 2021 removing 6006082 relations and 4006082 ideals in 2000000 cliques Fri Dec 31 20:29:56 2021 commencing in-memory singleton removal Fri Dec 31 20:29:57 2021 begin with 31763381 relations and 32481213 unique ideals Fri Dec 31 20:30:06 2021 reduce to 31044392 relations and 27722022 ideals in 9 passes Fri Dec 31 20:30:06 2021 max relations containing the same ideal: 94 Fri Dec 31 20:30:14 2021 removing 6045496 relations and 4045496 ideals in 2000000 cliques Fri Dec 31 20:30:15 2021 commencing in-memory singleton removal Fri Dec 31 20:30:16 2021 begin with 24998896 relations and 27722022 unique ideals Fri Dec 31 20:30:23 2021 reduce to 24117036 relations and 22743722 ideals in 10 passes Fri Dec 31 20:30:23 2021 max relations containing the same ideal: 81 Fri Dec 31 20:30:30 2021 removing 2889593 relations and 2119886 ideals in 769707 cliques Fri Dec 31 20:30:30 2021 commencing in-memory singleton removal Fri Dec 31 20:30:31 2021 begin with 21227443 relations and 22743722 unique ideals Fri Dec 31 20:30:35 2021 reduce to 20945433 relations and 20333216 ideals in 7 passes Fri Dec 31 20:30:35 2021 max relations containing the same ideal: 74 Fri Dec 31 20:30:41 2021 removing 63934 relations and 55324 ideals in 8610 cliques Fri Dec 31 20:30:42 2021 commencing in-memory singleton removal Fri Dec 31 20:30:42 2021 begin with 20881499 relations and 20333216 unique ideals Fri Dec 31 20:30:45 2021 reduce to 20881367 relations and 20277760 ideals in 5 passes Fri Dec 31 20:30:45 2021 max relations containing the same ideal: 74 Fri Dec 31 20:30:48 2021 relations with 0 large ideals: 42237 Fri Dec 31 20:30:48 2021 relations with 1 large ideals: 8261 Fri Dec 31 20:30:48 2021 relations with 2 large ideals: 97999 Fri Dec 31 20:30:48 2021 relations with 3 large ideals: 621672 Fri Dec 31 20:30:48 2021 relations with 4 large ideals: 2142087 Fri Dec 31 20:30:48 2021 relations with 5 large ideals: 4385922 Fri Dec 31 20:30:48 2021 relations with 6 large ideals: 6272020 Fri Dec 31 20:30:48 2021 relations with 7+ large ideals: 7311169 Fri Dec 31 20:30:48 2021 commencing 2-way merge Fri Dec 31 20:30:55 2021 reduce to 13865729 relation sets and 13262122 unique ideals Fri Dec 31 20:30:55 2021 commencing full merge Fri Dec 31 20:34:29 2021 memory use: 1795.9 MB Fri Dec 31 20:34:30 2021 found 6328624 cycles, need 6304322 Fri Dec 31 20:34:31 2021 weight of 6304322 cycles is about 694107252 (110.10/cycle) Fri Dec 31 20:34:31 2021 distribution of cycle lengths: Fri Dec 31 20:34:31 2021 1 relations: 326804 Fri Dec 31 20:34:31 2021 2 relations: 412313 Fri Dec 31 20:34:31 2021 3 relations: 455616 Fri Dec 31 20:34:31 2021 4 relations: 462274 Fri Dec 31 20:34:31 2021 5 relations: 465603 Fri Dec 31 20:34:31 2021 6 relations: 453948 Fri Dec 31 20:34:31 2021 7 relations: 443036 Fri Dec 31 20:34:31 2021 8 relations: 420943 Fri Dec 31 20:34:31 2021 9 relations: 393724 Fri Dec 31 20:34:31 2021 10+ relations: 2470061 Fri Dec 31 20:34:31 2021 heaviest cycle: 28 relations Fri Dec 31 20:34:33 2021 commencing cycle optimization Fri Dec 31 20:34:41 2021 start with 55323685 relations Fri Dec 31 20:36:00 2021 pruned 2607014 relations Fri Dec 31 20:36:00 2021 memory use: 1433.4 MB Fri Dec 31 20:36:00 2021 distribution of cycle lengths: Fri Dec 31 20:36:00 2021 1 relations: 326804 Fri Dec 31 20:36:00 2021 2 relations: 420876 Fri Dec 31 20:36:00 2021 3 relations: 473801 Fri Dec 31 20:36:00 2021 4 relations: 481319 Fri Dec 31 20:36:00 2021 5 relations: 489060 Fri Dec 31 20:36:00 2021 6 relations: 476416 Fri Dec 31 20:36:00 2021 7 relations: 467136 Fri Dec 31 20:36:00 2021 8 relations: 442257 Fri Dec 31 20:36:00 2021 9 relations: 412382 Fri Dec 31 20:36:00 2021 10+ relations: 2314271 Fri Dec 31 20:36:00 2021 heaviest cycle: 28 relations Fri Dec 31 20:36:08 2021 RelProcTime: 1574 Fri Dec 31 20:36:08 2021 Fri Dec 31 20:36:08 2021 commencing linear algebra Fri Dec 31 20:36:08 2021 using VBITS=384 Fri Dec 31 20:36:09 2021 read 6304322 cycles Fri Dec 31 20:36:16 2021 cycles contain 20549607 unique relations Fri Dec 31 20:37:24 2021 read 20549607 relations Fri Dec 31 20:37:48 2021 using 20 quadratic characters above 4294917295 Fri Dec 31 20:38:44 2021 building initial matrix Fri Dec 31 20:41:18 2021 memory use: 2543.9 MB Fri Dec 31 20:41:21 2021 read 6304322 cycles Fri Dec 31 20:41:22 2021 matrix is 6304144 x 6304322 (2743.1 MB) with weight 782484446 (124.12/col) Fri Dec 31 20:41:22 2021 sparse part has weight 649726734 (103.06/col) Fri Dec 31 20:41:57 2021 filtering completed in 2 passes Fri Dec 31 20:41:58 2021 matrix is 6303942 x 6304093 (2743.0 MB) with weight 782477337 (124.12/col) Fri Dec 31 20:41:58 2021 sparse part has weight 649724276 (103.06/col) Fri Dec 31 20:42:09 2021 matrix starts at (0, 0) Fri Dec 31 20:42:10 2021 matrix is 6303942 x 6304093 (2743.0 MB) with weight 782477337 (124.12/col) Fri Dec 31 20:42:10 2021 sparse part has weight 649724276 (103.06/col) Fri Dec 31 20:42:10 2021 saving the first 368 matrix rows for later Fri Dec 31 20:42:10 2021 matrix includes 384 packed rows Fri Dec 31 20:42:13 2021 matrix is 6303574 x 6304093 (2548.5 MB) with weight 572604956 (90.83/col) Fri Dec 31 20:42:13 2021 sparse part has weight 541997622 (85.98/col) Fri Dec 31 20:42:13 2021 using GPU 1 (Tesla V100-PCIE-32GB) Fri Dec 31 20:42:13 2021 selected card has CUDA arch 7.0 Fri Dec 31 20:42:34 2021 commencing Lanczos iteration Fri Dec 31 20:42:34 2021 memory use: 6491.9 MB Fri Dec 31 20:42:37 2021 linear algebra at 0.0%, ETA 1h31m Fri Dec 31 20:42:38 2021 checkpointing every 5060000 dimensions Fri Dec 31 22:08:24 2021 lanczos halted after 16450 iterations (dim = 6303573) Fri Dec 31 22:08:53 2021 recovered 36 nontrivial dependencies Fri Dec 31 22:08:53 2021 BLanczosTime: 5565 Fri Dec 31 22:08:53 2021 Fri Dec 31 22:08:53 2021 commencing square root phase Fri Dec 31 22:08:53 2021 handling dependencies 1 to 64 Fri Dec 31 22:08:53 2021 reading relations for dependency 1 Fri Dec 31 22:08:54 2021 read 3151191 cycles Fri Dec 31 22:08:58 2021 cycles contain 10272494 unique relations Fri Dec 31 22:09:36 2021 read 10272494 relations Fri Dec 31 22:10:03 2021 multiplying 10272494 relations Fri Dec 31 22:12:56 2021 multiply complete, coefficients have about 254.31 million bits Fri Dec 31 22:12:57 2021 initial square root is modulo 1337776091 Fri Dec 31 22:16:23 2021 found factor: 33431355173987980756833246539980607242904325376823578300331 Fri Dec 31 22:16:23 2021 reading relations for dependency 2 Fri Dec 31 22:16:24 2021 read 3149114 cycles Fri Dec 31 22:16:28 2021 cycles contain 10272864 unique relations Fri Dec 31 22:17:04 2021 read 10272864 relations Fri Dec 31 22:17:30 2021 multiplying 10272864 relations Fri Dec 31 22:20:24 2021 multiply complete, coefficients have about 254.33 million bits Fri Dec 31 22:20:25 2021 initial square root is modulo 1340193817 Fri Dec 31 22:23:50 2021 GCD is N, no factor found Fri Dec 31 22:23:50 2021 reading relations for dependency 3 Fri Dec 31 22:23:51 2021 read 3153013 cycles Fri Dec 31 22:23:55 2021 cycles contain 10278962 unique relations Fri Dec 31 22:24:30 2021 read 10278962 relations Fri Dec 31 22:24:57 2021 multiplying 10278962 relations Fri Dec 31 22:27:51 2021 multiply complete, coefficients have about 254.47 million bits Fri Dec 31 22:27:52 2021 initial square root is modulo 1355969981 Fri Dec 31 22:31:19 2021 sqrtTime: 1346 Fri Dec 31 22:31:19 2021 p54 factor: 279874188391554215053896375572907950216442913623448423 Fri Dec 31 22:31:19 2021 p59 factor: 33431355173987980756833246539980607242904325376823578300331 Fri Dec 31 22:31:19 2021 p95 factor: 14530481004326596481757184027549789559442835114336990379644373324366361834446054777280698727127 Fri Dec 31 22:31:19 2021 elapsed time 02:21:26