Sun Feb 13 23:52:53 2022 Sun Feb 13 23:52:53 2022 Sun Feb 13 23:52:53 2022 Msieve v. 1.54 (SVN unknown) Sun Feb 13 23:52:53 2022 random seeds: 8a583d8a 2aa5ffd0 Sun Feb 13 23:52:53 2022 factoring 84818323811664465111574644290889034024331586873730492895638311205954761223464624245637599134283997260485313876441143856066584189458626201502552463243311159568189028915622437626584773632993 (188 digits) Sun Feb 13 23:52:54 2022 no P-1/P+1/ECM available, skipping Sun Feb 13 23:52:54 2022 commencing number field sieve (188-digit input) Sun Feb 13 23:52:54 2022 reversing signs of algebraic polynomial Sun Feb 13 23:52:54 2022 R0: -2755826440286481805034683089514783549 Sun Feb 13 23:52:54 2022 R1: 86712769196577236122891 Sun Feb 13 23:52:54 2022 A0: -128003217760679020513152389157742258913277120 Sun Feb 13 23:52:54 2022 A1: 29735464002173213782017297415938477732 Sun Feb 13 23:52:54 2022 A2: -1053749091500262763719611174675 Sun Feb 13 23:52:54 2022 A3: -84312774714533322601433 Sun Feb 13 23:52:54 2022 A4: 500842378547280 Sun Feb 13 23:52:54 2022 A5: 1067220 Sun Feb 13 23:52:54 2022 skew 38134830.52, size 2.371e-18, alpha -7.543, combined = 2.887e-14 rroots = 5 Sun Feb 13 23:52:54 2022 Sun Feb 13 23:52:54 2022 commencing relation filtering Sun Feb 13 23:52:54 2022 setting target matrix density to 115.0 Sun Feb 13 23:52:54 2022 reversing signs of algebraic polynomial Sun Feb 13 23:52:54 2022 estimated available RAM is 515600.8 MB Sun Feb 13 23:52:54 2022 commencing duplicate removal, pass 1 Mon Feb 14 00:34:10 2022 skipped 130 relations with composite factors Mon Feb 14 00:34:10 2022 found 47258958 hash collisions in 484443981 relations Mon Feb 14 00:34:27 2022 added 121773 free relations Mon Feb 14 00:34:27 2022 commencing duplicate removal, pass 2 Mon Feb 14 00:36:20 2022 found 58 duplicates and 484565696 unique relations Mon Feb 14 00:36:20 2022 memory use: 2259.0 MB Mon Feb 14 00:36:20 2022 reading ideals above 720000 Mon Feb 14 00:36:20 2022 commencing singleton removal, initial pass Mon Feb 14 01:19:57 2022 memory use: 11024.0 MB Mon Feb 14 01:19:57 2022 reading all ideals from disk Mon Feb 14 01:20:04 2022 memory use: 20404.6 MB Mon Feb 14 01:20:22 2022 keeping 479960038 ideals with weight <= 200, target excess is 2413039 Mon Feb 14 01:20:52 2022 commencing in-memory singleton removal Mon Feb 14 01:21:06 2022 begin with 484565696 relations and 479960038 unique ideals Mon Feb 14 01:23:59 2022 reduce to 271684705 relations and 241575276 ideals in 18 passes Mon Feb 14 01:23:59 2022 max relations containing the same ideal: 148 Mon Feb 14 01:25:03 2022 removing 17661099 relations and 15661099 ideals in 2000000 cliques Mon Feb 14 01:25:09 2022 commencing in-memory singleton removal Mon Feb 14 01:25:16 2022 begin with 254023606 relations and 241575276 unique ideals Mon Feb 14 01:26:47 2022 reduce to 253033835 relations and 224913497 ideals in 11 passes Mon Feb 14 01:26:47 2022 max relations containing the same ideal: 139 Mon Feb 14 01:27:47 2022 removing 13135735 relations and 11135735 ideals in 2000000 cliques Mon Feb 14 01:27:52 2022 commencing in-memory singleton removal Mon Feb 14 01:27:59 2022 begin with 239898100 relations and 224913497 unique ideals Mon Feb 14 01:29:10 2022 reduce to 239295191 relations and 213169510 ideals in 9 passes Mon Feb 14 01:29:10 2022 max relations containing the same ideal: 134 Mon Feb 14 01:30:07 2022 removing 11715320 relations and 9715320 ideals in 2000000 cliques Mon Feb 14 01:30:11 2022 commencing in-memory singleton removal Mon Feb 14 01:30:18 2022 begin with 227579871 relations and 213169510 unique ideals Mon Feb 14 01:31:17 2022 reduce to 227070265 relations and 202940126 ideals in 8 passes Mon Feb 14 01:31:17 2022 max relations containing the same ideal: 129 Mon Feb 14 01:32:11 2022 removing 10960334 relations and 8960334 ideals in 2000000 cliques Mon Feb 14 01:32:15 2022 commencing in-memory singleton removal Mon Feb 14 01:32:21 2022 begin with 216109931 relations and 202940126 unique ideals Mon Feb 14 01:33:17 2022 reduce to 215637578 relations and 193503328 ideals in 8 passes Mon Feb 14 01:33:17 2022 max relations containing the same ideal: 125 Mon Feb 14 01:34:08 2022 removing 10472761 relations and 8472761 ideals in 2000000 cliques Mon Feb 14 01:34:12 2022 commencing in-memory singleton removal Mon Feb 14 01:34:18 2022 begin with 205164817 relations and 193503328 unique ideals Mon Feb 14 01:35:18 2022 reduce to 204712306 relations and 184574132 ideals in 9 passes Mon Feb 14 01:35:18 2022 max relations containing the same ideal: 123 Mon Feb 14 01:36:07 2022 removing 10138515 relations and 8138515 ideals in 2000000 cliques Mon Feb 14 01:36:11 2022 commencing in-memory singleton removal Mon Feb 14 01:36:16 2022 begin with 194573791 relations and 184574132 unique ideals Mon Feb 14 01:37:13 2022 reduce to 194127218 relations and 175985022 ideals in 9 passes Mon Feb 14 01:37:13 2022 max relations containing the same ideal: 118 Mon Feb 14 01:37:59 2022 removing 9902332 relations and 7902332 ideals in 2000000 cliques Mon Feb 14 01:38:03 2022 commencing in-memory singleton removal Mon Feb 14 01:38:08 2022 begin with 184224886 relations and 175985022 unique ideals Mon Feb 14 01:38:56 2022 reduce to 183775678 relations and 167629314 ideals in 8 passes Mon Feb 14 01:38:56 2022 max relations containing the same ideal: 113 Mon Feb 14 01:39:40 2022 removing 9746697 relations and 7746697 ideals in 2000000 cliques Mon Feb 14 01:39:43 2022 commencing in-memory singleton removal Mon Feb 14 01:39:48 2022 begin with 174028981 relations and 167629314 unique ideals Mon Feb 14 01:40:39 2022 reduce to 173570558 relations and 159419624 ideals in 9 passes Mon Feb 14 01:40:39 2022 max relations containing the same ideal: 111 Mon Feb 14 01:41:21 2022 removing 9637622 relations and 7637622 ideals in 2000000 cliques Mon Feb 14 01:41:25 2022 commencing in-memory singleton removal Mon Feb 14 01:41:29 2022 begin with 163932936 relations and 159419624 unique ideals Mon Feb 14 01:42:12 2022 reduce to 163457297 relations and 151301388 ideals in 8 passes Mon Feb 14 01:42:12 2022 max relations containing the same ideal: 108 Mon Feb 14 01:42:52 2022 removing 9578909 relations and 7578909 ideals in 2000000 cliques Mon Feb 14 01:42:55 2022 commencing in-memory singleton removal Mon Feb 14 01:42:59 2022 begin with 153878388 relations and 151301388 unique ideals Mon Feb 14 01:43:39 2022 reduce to 153378453 relations and 143217190 ideals in 8 passes Mon Feb 14 01:43:39 2022 max relations containing the same ideal: 100 Mon Feb 14 01:44:16 2022 removing 9560359 relations and 7560359 ideals in 2000000 cliques Mon Feb 14 01:44:20 2022 commencing in-memory singleton removal Mon Feb 14 01:44:24 2022 begin with 143818094 relations and 143217190 unique ideals Mon Feb 14 01:45:10 2022 reduce to 143284365 relations and 135117139 ideals in 10 passes Mon Feb 14 01:45:10 2022 max relations containing the same ideal: 96 Mon Feb 14 01:45:46 2022 removing 9584287 relations and 7584287 ideals in 2000000 cliques Mon Feb 14 01:45:49 2022 commencing in-memory singleton removal Mon Feb 14 01:45:53 2022 begin with 133700078 relations and 135117139 unique ideals Mon Feb 14 01:46:32 2022 reduce to 133121740 relations and 126947463 ideals in 9 passes Mon Feb 14 01:46:32 2022 max relations containing the same ideal: 91 Mon Feb 14 01:47:05 2022 removing 9650178 relations and 7650178 ideals in 2000000 cliques Mon Feb 14 01:47:08 2022 commencing in-memory singleton removal Mon Feb 14 01:47:11 2022 begin with 123471562 relations and 126947463 unique ideals Mon Feb 14 01:47:47 2022 reduce to 122832813 relations and 118650226 ideals in 9 passes Mon Feb 14 01:47:47 2022 max relations containing the same ideal: 87 Mon Feb 14 01:48:18 2022 removing 7279420 relations and 5895959 ideals in 1383461 cliques Mon Feb 14 01:48:21 2022 commencing in-memory singleton removal Mon Feb 14 01:48:24 2022 begin with 115553393 relations and 118650226 unique ideals Mon Feb 14 01:48:57 2022 reduce to 115170117 relations and 112367129 ideals in 9 passes Mon Feb 14 01:48:57 2022 max relations containing the same ideal: 81 Mon Feb 14 01:49:38 2022 relations with 0 large ideals: 8641 Mon Feb 14 01:49:38 2022 relations with 1 large ideals: 62334 Mon Feb 14 01:49:38 2022 relations with 2 large ideals: 826680 Mon Feb 14 01:49:38 2022 relations with 3 large ideals: 4742983 Mon Feb 14 01:49:38 2022 relations with 4 large ideals: 14805380 Mon Feb 14 01:49:38 2022 relations with 5 large ideals: 27611464 Mon Feb 14 01:49:38 2022 relations with 6 large ideals: 31869243 Mon Feb 14 01:49:38 2022 relations with 7+ large ideals: 35243392 Mon Feb 14 01:49:38 2022 commencing 2-way merge Mon Feb 14 01:50:20 2022 reduce to 69935934 relation sets and 67132946 unique ideals Mon Feb 14 01:50:20 2022 commencing full merge Mon Feb 14 02:03:41 2022 memory use: 7438.2 MB Mon Feb 14 02:03:45 2022 found 31000317 cycles, need 30765146 Mon Feb 14 02:03:52 2022 weight of 30765146 cycles is about 3538066793 (115.00/cycle) Mon Feb 14 02:03:52 2022 distribution of cycle lengths: Mon Feb 14 02:03:52 2022 1 relations: 2763111 Mon Feb 14 02:03:52 2022 2 relations: 2405539 Mon Feb 14 02:03:52 2022 3 relations: 2444365 Mon Feb 14 02:03:52 2022 4 relations: 2354987 Mon Feb 14 02:03:52 2022 5 relations: 2306995 Mon Feb 14 02:03:52 2022 6 relations: 2155284 Mon Feb 14 02:03:52 2022 7 relations: 2078506 Mon Feb 14 02:03:52 2022 8 relations: 1922599 Mon Feb 14 02:03:52 2022 9 relations: 1763877 Mon Feb 14 02:03:52 2022 10+ relations: 10569883 Mon Feb 14 02:03:52 2022 heaviest cycle: 28 relations Mon Feb 14 02:03:57 2022 commencing cycle optimization Mon Feb 14 02:04:38 2022 start with 244195990 relations Mon Feb 14 02:09:26 2022 pruned 8143369 relations Mon Feb 14 02:09:26 2022 memory use: 7167.6 MB Mon Feb 14 02:09:26 2022 distribution of cycle lengths: Mon Feb 14 02:09:26 2022 1 relations: 2763111 Mon Feb 14 02:09:26 2022 2 relations: 2469758 Mon Feb 14 02:09:26 2022 3 relations: 2538746 Mon Feb 14 02:09:26 2022 4 relations: 2433769 Mon Feb 14 02:09:26 2022 5 relations: 2389521 Mon Feb 14 02:09:26 2022 6 relations: 2225096 Mon Feb 14 02:09:26 2022 7 relations: 2140619 Mon Feb 14 02:09:26 2022 8 relations: 1970589 Mon Feb 14 02:09:26 2022 9 relations: 1805357 Mon Feb 14 02:09:26 2022 10+ relations: 10028580 Mon Feb 14 02:09:26 2022 heaviest cycle: 28 relations Mon Feb 14 02:09:55 2022 RelProcTime: 8221 Mon Feb 14 02:09:58 2022 elapsed time 02:17:05 Mon Feb 14 02:11:29 2022 Mon Feb 14 02:11:29 2022 Mon Feb 14 02:11:29 2022 Msieve v. 1.54 (SVN unknown) Mon Feb 14 02:11:29 2022 random seeds: 3bdd7c13 454cb3e7 Mon Feb 14 02:11:29 2022 MPI process 0 of 1 Mon Feb 14 02:11:29 2022 factoring 84818323811664465111574644290889034024331586873730492895638311205954761223464624245637599134283997260485313876441143856066584189458626201502552463243311159568189028915622437626584773632993 (188 digits) Mon Feb 14 02:11:29 2022 no P-1/P+1/ECM available, skipping Mon Feb 14 02:11:29 2022 commencing number field sieve (188-digit input) Mon Feb 14 02:11:29 2022 reversing signs of algebraic polynomial Mon Feb 14 02:11:29 2022 R0: -2755826440286481805034683089514783549 Mon Feb 14 02:11:29 2022 R1: 86712769196577236122891 Mon Feb 14 02:11:29 2022 A0: -128003217760679020513152389157742258913277120 Mon Feb 14 02:11:29 2022 A1: 29735464002173213782017297415938477732 Mon Feb 14 02:11:29 2022 A2: -1053749091500262763719611174675 Mon Feb 14 02:11:29 2022 A3: -84312774714533322601433 Mon Feb 14 02:11:29 2022 A4: 500842378547280 Mon Feb 14 02:11:29 2022 A5: 1067220 Mon Feb 14 02:11:29 2022 skew 38134830.52, size 2.371e-18, alpha -7.543, combined = 2.887e-14 rroots = 5 Mon Feb 14 02:11:29 2022 Mon Feb 14 02:11:29 2022 commencing linear algebra Mon Feb 14 02:11:29 2022 using VBITS=384 Mon Feb 14 02:11:29 2022 initialized process (0,0) of 1 x 1 grid Mon Feb 14 02:11:29 2022 reversing signs of algebraic polynomial Mon Feb 14 02:11:31 2022 read 30765146 cycles Mon Feb 14 02:12:14 2022 cycles contain 113095426 unique relations Mon Feb 14 02:19:11 2022 read 113095426 relations Mon Feb 14 02:21:41 2022 using 20 quadratic characters above 4294917295 Mon Feb 14 02:26:55 2022 building initial matrix Mon Feb 14 02:42:08 2022 memory use: 15540.6 MB Mon Feb 14 02:42:23 2022 read 30765146 cycles Mon Feb 14 02:42:27 2022 matrix is 30764963 x 30765146 (14138.9 MB) with weight 4268417311 (138.74/col) Mon Feb 14 02:42:27 2022 sparse part has weight 3337235907 (108.47/col) Mon Feb 14 02:46:36 2022 filtering completed in 2 passes Mon Feb 14 02:46:41 2022 matrix is 30756919 x 30757099 (14138.0 MB) with weight 4268041871 (138.77/col) Mon Feb 14 02:46:41 2022 sparse part has weight 3337118425 (108.50/col) Mon Feb 14 02:47:40 2022 matrix starts at (0, 0) Mon Feb 14 02:47:44 2022 matrix is 30756919 x 30757099 (14138.0 MB) with weight 4268041871 (138.77/col) Mon Feb 14 02:47:44 2022 sparse part has weight 3337118425 (108.50/col) Mon Feb 14 02:47:44 2022 saving the first 368 matrix rows for later Mon Feb 14 02:47:48 2022 matrix includes 384 packed rows Mon Feb 14 02:48:00 2022 matrix is 30756551 x 30757099 (12968.8 MB) with weight 2949235125 (95.89/col) Mon Feb 14 02:48:00 2022 sparse part has weight 2784538308 (90.53/col) Mon Feb 14 02:48:00 2022 using GPU 0 (Tesla V100-PCIE-32GB) Mon Feb 14 02:48:00 2022 selected card has CUDA arch 7.0 Mon Feb 14 02:50:12 2022 commencing Lanczos iteration Mon Feb 14 08:12:16 2022 Mon Feb 14 08:12:16 2022 Mon Feb 14 08:12:16 2022 Msieve v. 1.54 (SVN unknown) Mon Feb 14 08:12:16 2022 random seeds: 6bc9dd31 f8293d58 Mon Feb 14 08:12:16 2022 MPI process 0 of 2 Mon Feb 14 08:12:16 2022 factoring 84818323811664465111574644290889034024331586873730492895638311205954761223464624245637599134283997260485313876441143856066584189458626201502552463243311159568189028915622437626584773632993 (188 digits) Mon Feb 14 08:12:17 2022 no P-1/P+1/ECM available, skipping Mon Feb 14 08:12:17 2022 commencing number field sieve (188-digit input) Mon Feb 14 08:12:17 2022 reversing signs of algebraic polynomial Mon Feb 14 08:12:17 2022 R0: -2755826440286481805034683089514783549 Mon Feb 14 08:12:17 2022 R1: 86712769196577236122891 Mon Feb 14 08:12:17 2022 A0: -128003217760679020513152389157742258913277120 Mon Feb 14 08:12:17 2022 A1: 29735464002173213782017297415938477732 Mon Feb 14 08:12:17 2022 A2: -1053749091500262763719611174675 Mon Feb 14 08:12:17 2022 A3: -84312774714533322601433 Mon Feb 14 08:12:17 2022 A4: 500842378547280 Mon Feb 14 08:12:17 2022 A5: 1067220 Mon Feb 14 08:12:17 2022 skew 38134830.52, size 2.371e-18, alpha -7.543, combined = 2.887e-14 rroots = 5 Mon Feb 14 08:12:17 2022 Mon Feb 14 08:12:17 2022 commencing linear algebra Mon Feb 14 08:12:17 2022 using VBITS=256 Mon Feb 14 08:12:17 2022 skipping matrix build Mon Feb 14 08:12:17 2022 initialized process (0,0) of 1 x 2 grid Mon Feb 14 08:12:28 2022 matrix starts at (0, 0) Mon Feb 14 08:12:30 2022 matrix is 30756919 x 15378530 (7069.0 MB) with weight 2134005657 (138.77/col) Mon Feb 14 08:12:30 2022 sparse part has weight 1668559393 (108.50/col) Mon Feb 14 08:12:30 2022 saving the first 240 matrix rows for later Mon Feb 14 08:12:35 2022 matrix includes 256 packed rows Mon Feb 14 08:12:41 2022 matrix is 30756679 x 15378530 (6429.3 MB) with weight 1529852888 (99.48/col) Mon Feb 14 08:12:41 2022 sparse part has weight 1439336896 (93.59/col) Mon Feb 14 08:12:41 2022 using GPU 0 (NVIDIA A100-SXM4-40GB) Mon Feb 14 08:12:41 2022 selected card has CUDA arch 8.0 Mon Feb 14 08:15:06 2022 commencing Lanczos iteration Mon Feb 14 08:15:08 2022 memory use: 16319.7 MB Mon Feb 14 08:15:10 2022 linear algebra at 0.0%, ETA 5h34m Mon Feb 14 08:15:11 2022 checkpointing every 3680000 dimensions Mon Feb 14 16:57:32 2022 lanczos halted after 120505 iterations (dim = 30756677) Mon Feb 14 17:00:49 2022 recovered 29 nontrivial dependencies Mon Feb 14 17:00:50 2022 BLanczosTime: 31713 Mon Feb 14 17:00:50 2022 elapsed time 08:48:34 Mon Feb 14 22:47:21 2022 Mon Feb 14 22:47:21 2022 Mon Feb 14 22:47:21 2022 Msieve v. 1.54 (SVN unknown) Mon Feb 14 22:47:21 2022 random seeds: 17dcb2b2 327fa88b Mon Feb 14 22:47:21 2022 MPI process 0 of 1 Mon Feb 14 22:47:21 2022 factoring 84818323811664465111574644290889034024331586873730492895638311205954761223464624245637599134283997260485313876441143856066584189458626201502552463243311159568189028915622437626584773632993 (188 digits) Mon Feb 14 22:47:21 2022 no P-1/P+1/ECM available, skipping Mon Feb 14 22:47:21 2022 commencing number field sieve (188-digit input) Mon Feb 14 22:47:21 2022 reversing signs of algebraic polynomial Mon Feb 14 22:47:21 2022 R0: -2755826440286481805034683089514783549 Mon Feb 14 22:47:21 2022 R1: 86712769196577236122891 Mon Feb 14 22:47:21 2022 A0: -128003217760679020513152389157742258913277120 Mon Feb 14 22:47:21 2022 A1: 29735464002173213782017297415938477732 Mon Feb 14 22:47:21 2022 A2: -1053749091500262763719611174675 Mon Feb 14 22:47:21 2022 A3: -84312774714533322601433 Mon Feb 14 22:47:21 2022 A4: 500842378547280 Mon Feb 14 22:47:21 2022 A5: 1067220 Mon Feb 14 22:47:21 2022 skew 38134830.52, size 2.371e-18, alpha -7.543, combined = 2.887e-14 rroots = 5 Mon Feb 14 22:47:21 2022 Mon Feb 14 22:47:21 2022 commencing square root phase Mon Feb 14 22:47:21 2022 reversing signs of algebraic polynomial Mon Feb 14 22:47:21 2022 reading relations for dependency 1 Mon Feb 14 22:47:25 2022 read 15380426 cycles Mon Feb 14 22:47:48 2022 cycles contain 56543844 unique relations Mon Feb 14 22:52:21 2022 read 56543844 relations Mon Feb 14 22:56:09 2022 multiplying 56543844 relations Tue Feb 15 00:05:09 2022 multiply complete, coefficients have about 3484.67 million bits Tue Feb 15 00:05:27 2022 initial square root is modulo 65404399 Tue Feb 15 01:20:09 2022 sqrtTime: 9168 Tue Feb 15 01:20:09 2022 p90 factor: 539694504945187893368361339439905555431904910939273986516144666700994185881562766421169921 Tue Feb 15 01:20:09 2022 p99 factor: 157159880329481452160439826743908370224084181588172064856257995146126562322093856923503450532113633 Tue Feb 15 01:20:09 2022 elapsed time 02:32:48