Wed Sep 7 12:45:46 2022 Wed Sep 7 12:45:46 2022 Wed Sep 7 12:45:46 2022 Msieve v. 1.54 (SVN unknown) Wed Sep 7 12:45:46 2022 random seeds: 3f614a39 f09923c9 Wed Sep 7 12:45:46 2022 MPI process 0 of 1 Wed Sep 7 12:45:46 2022 factoring 328606880159851653901498068502945699522341371334506631710815644380739452303853012248598043817669999935646198807225558536316875879511592524393207275859568918684662490812329849077724697066606457917 (195 digits) Wed Sep 7 12:45:47 2022 no P-1/P+1/ECM available, skipping Wed Sep 7 12:45:47 2022 commencing number field sieve (195-digit input) Wed Sep 7 12:45:47 2022 R0: -34836735077907242766383210973608962666 Wed Sep 7 12:45:47 2022 R1: 296155417798931427557711 Wed Sep 7 12:45:47 2022 A0: 16734616657131278714808079418694212811411912 Wed Sep 7 12:45:47 2022 A1: 28182385282593881106959852573533945574 Wed Sep 7 12:45:47 2022 A2: 11436240044684009125565858850309 Wed Sep 7 12:45:47 2022 A3: -209544207391865601662151 Wed Sep 7 12:45:47 2022 A4: -17097385717580408 Wed Sep 7 12:45:47 2022 A5: 51236640 Wed Sep 7 12:45:47 2022 skew 23248876.16, size 4.083e-19, alpha -7.021, combined = 9.770e-15 rroots = 5 Wed Sep 7 12:45:47 2022 Wed Sep 7 12:45:47 2022 commencing relation filtering Wed Sep 7 12:45:47 2022 setting target matrix density to 120.0 Wed Sep 7 12:45:47 2022 estimated available RAM is 257667.4 MB Wed Sep 7 12:45:47 2022 commencing duplicate removal, pass 1 Wed Sep 7 12:50:33 2022 skipped 228 relations with composite factors Wed Sep 7 12:50:33 2022 found 76445384 hash collisions in 628833956 relations Wed Sep 7 12:50:54 2022 added 121877 free relations Wed Sep 7 12:50:54 2022 commencing duplicate removal, pass 2 Wed Sep 7 12:53:45 2022 found 34 duplicates and 628955799 unique relations Wed Sep 7 12:53:45 2022 memory use: 2387.0 MB Wed Sep 7 12:53:45 2022 reading ideals above 720000 Wed Sep 7 12:53:45 2022 commencing singleton removal, initial pass Wed Sep 7 13:18:49 2022 memory use: 11024.0 MB Wed Sep 7 13:18:49 2022 reading all ideals from disk Wed Sep 7 13:18:54 2022 memory use: 32151.2 MB Wed Sep 7 13:19:25 2022 keeping 628858574 ideals with weight <= 200, target excess is 3358327 Wed Sep 7 13:20:11 2022 commencing in-memory singleton removal Wed Sep 7 13:20:15 2022 begin with 628955799 relations and 628858574 unique ideals Wed Sep 7 13:20:57 2022 reduce to 347307877 relations and 312420359 ideals in 20 passes Wed Sep 7 13:20:57 2022 max relations containing the same ideal: 143 Wed Sep 7 13:22:10 2022 removing 19271772 relations and 17271772 ideals in 2000000 cliques Wed Sep 7 13:22:19 2022 commencing in-memory singleton removal Wed Sep 7 13:22:21 2022 begin with 328036105 relations and 312420359 unique ideals Wed Sep 7 13:22:39 2022 reduce to 327117857 relations and 294222332 ideals in 10 passes Wed Sep 7 13:22:39 2022 max relations containing the same ideal: 137 Wed Sep 7 13:23:49 2022 removing 14268056 relations and 12268056 ideals in 2000000 cliques Wed Sep 7 13:23:57 2022 commencing in-memory singleton removal Wed Sep 7 13:23:59 2022 begin with 312849801 relations and 294222332 unique ideals Wed Sep 7 13:24:13 2022 reduce to 312300780 relations and 281401318 ideals in 8 passes Wed Sep 7 13:24:13 2022 max relations containing the same ideal: 137 Wed Sep 7 13:25:20 2022 removing 12691036 relations and 10691036 ideals in 2000000 cliques Wed Sep 7 13:25:27 2022 commencing in-memory singleton removal Wed Sep 7 13:25:29 2022 begin with 299609744 relations and 281401318 unique ideals Wed Sep 7 13:25:43 2022 reduce to 299151736 relations and 270249210 ideals in 8 passes Wed Sep 7 13:25:43 2022 max relations containing the same ideal: 136 Wed Sep 7 13:26:50 2022 removing 11827344 relations and 9827344 ideals in 2000000 cliques Wed Sep 7 13:26:56 2022 commencing in-memory singleton removal Wed Sep 7 13:26:58 2022 begin with 287324392 relations and 270249210 unique ideals Wed Sep 7 13:27:11 2022 reduce to 286908012 relations and 260002626 ideals in 8 passes Wed Sep 7 13:27:11 2022 max relations containing the same ideal: 133 Wed Sep 7 13:28:16 2022 removing 11265282 relations and 9265282 ideals in 2000000 cliques Wed Sep 7 13:28:22 2022 commencing in-memory singleton removal Wed Sep 7 13:28:24 2022 begin with 275642730 relations and 260002626 unique ideals Wed Sep 7 13:28:35 2022 reduce to 275250750 relations and 250342700 ideals in 7 passes Wed Sep 7 13:28:35 2022 max relations containing the same ideal: 126 Wed Sep 7 13:29:35 2022 removing 10872179 relations and 8872179 ideals in 2000000 cliques Wed Sep 7 13:29:41 2022 commencing in-memory singleton removal Wed Sep 7 13:29:43 2022 begin with 264378571 relations and 250342700 unique ideals Wed Sep 7 13:29:55 2022 reduce to 263999646 relations and 241088862 ideals in 8 passes Wed Sep 7 13:29:55 2022 max relations containing the same ideal: 124 Wed Sep 7 13:30:53 2022 removing 10571845 relations and 8571845 ideals in 2000000 cliques Wed Sep 7 13:30:58 2022 commencing in-memory singleton removal Wed Sep 7 13:31:00 2022 begin with 253427801 relations and 241088862 unique ideals Wed Sep 7 13:31:12 2022 reduce to 253055160 relations and 232141658 ideals in 8 passes Wed Sep 7 13:31:12 2022 max relations containing the same ideal: 122 Wed Sep 7 13:32:08 2022 removing 10354565 relations and 8354565 ideals in 2000000 cliques Wed Sep 7 13:32:14 2022 commencing in-memory singleton removal Wed Sep 7 13:32:15 2022 begin with 242700595 relations and 232141658 unique ideals Wed Sep 7 13:32:26 2022 reduce to 242328682 relations and 223412476 ideals in 8 passes Wed Sep 7 13:32:26 2022 max relations containing the same ideal: 116 Wed Sep 7 13:33:20 2022 removing 10184624 relations and 8184624 ideals in 2000000 cliques Wed Sep 7 13:33:26 2022 commencing in-memory singleton removal Wed Sep 7 13:33:27 2022 begin with 232144058 relations and 223412476 unique ideals Wed Sep 7 13:33:38 2022 reduce to 231767669 relations and 214848697 ideals in 8 passes Wed Sep 7 13:33:38 2022 max relations containing the same ideal: 113 Wed Sep 7 13:34:31 2022 removing 10056619 relations and 8056619 ideals in 2000000 cliques Wed Sep 7 13:34:36 2022 commencing in-memory singleton removal Wed Sep 7 13:34:38 2022 begin with 221711050 relations and 214848697 unique ideals Wed Sep 7 13:34:48 2022 reduce to 221330396 relations and 206408407 ideals in 8 passes Wed Sep 7 13:34:48 2022 max relations containing the same ideal: 111 Wed Sep 7 13:35:37 2022 removing 9966235 relations and 7966235 ideals in 2000000 cliques Wed Sep 7 13:35:42 2022 commencing in-memory singleton removal Wed Sep 7 13:35:43 2022 begin with 211364161 relations and 206408407 unique ideals Wed Sep 7 13:35:53 2022 reduce to 210973330 relations and 198048110 ideals in 8 passes Wed Sep 7 13:35:53 2022 max relations containing the same ideal: 104 Wed Sep 7 13:36:40 2022 removing 9902972 relations and 7902972 ideals in 2000000 cliques Wed Sep 7 13:36:45 2022 commencing in-memory singleton removal Wed Sep 7 13:36:46 2022 begin with 201070358 relations and 198048110 unique ideals Wed Sep 7 13:36:56 2022 reduce to 200663430 relations and 189734734 ideals in 8 passes Wed Sep 7 13:36:56 2022 max relations containing the same ideal: 101 Wed Sep 7 13:37:41 2022 removing 9865092 relations and 7865092 ideals in 2000000 cliques Wed Sep 7 13:37:46 2022 commencing in-memory singleton removal Wed Sep 7 13:37:47 2022 begin with 190798338 relations and 189734734 unique ideals Wed Sep 7 13:37:56 2022 reduce to 190376007 relations and 181443594 ideals in 8 passes Wed Sep 7 13:37:56 2022 max relations containing the same ideal: 99 Wed Sep 7 13:38:38 2022 removing 9849559 relations and 7849559 ideals in 2000000 cliques Wed Sep 7 13:38:43 2022 commencing in-memory singleton removal Wed Sep 7 13:38:44 2022 begin with 180526448 relations and 181443594 unique ideals Wed Sep 7 13:38:53 2022 reduce to 180083064 relations and 173146543 ideals in 9 passes Wed Sep 7 13:38:53 2022 max relations containing the same ideal: 96 Wed Sep 7 13:39:35 2022 removing 9852549 relations and 7852549 ideals in 2000000 cliques Wed Sep 7 13:39:39 2022 commencing in-memory singleton removal Wed Sep 7 13:39:40 2022 begin with 170230515 relations and 173146543 unique ideals Wed Sep 7 13:39:48 2022 reduce to 169759311 relations and 164818200 ideals in 8 passes Wed Sep 7 13:39:48 2022 max relations containing the same ideal: 92 Wed Sep 7 13:40:28 2022 removing 5843781 relations and 4798330 ideals in 1045451 cliques Wed Sep 7 13:40:32 2022 commencing in-memory singleton removal Wed Sep 7 13:40:33 2022 begin with 163915530 relations and 164818200 unique ideals Wed Sep 7 13:40:40 2022 reduce to 163750315 relations and 159853807 ideals in 7 passes Wed Sep 7 13:40:40 2022 max relations containing the same ideal: 91 Wed Sep 7 13:41:37 2022 relations with 0 large ideals: 13990 Wed Sep 7 13:41:37 2022 relations with 1 large ideals: 123684 Wed Sep 7 13:41:37 2022 relations with 2 large ideals: 1320021 Wed Sep 7 13:41:37 2022 relations with 3 large ideals: 6977814 Wed Sep 7 13:41:37 2022 relations with 4 large ideals: 21069822 Wed Sep 7 13:41:37 2022 relations with 5 large ideals: 38970674 Wed Sep 7 13:41:37 2022 relations with 6 large ideals: 45075017 Wed Sep 7 13:41:37 2022 relations with 7+ large ideals: 50199293 Wed Sep 7 13:41:37 2022 commencing 2-way merge Wed Sep 7 13:42:38 2022 reduce to 101260374 relation sets and 97363866 unique ideals Wed Sep 7 13:42:38 2022 commencing full merge Wed Sep 7 14:06:08 2022 memory use: 11213.5 MB Wed Sep 7 14:06:16 2022 found 45086189 cycles, need 44790066 Wed Sep 7 14:06:27 2022 weight of 44790066 cycles is about 5375259162 (120.01/cycle) Wed Sep 7 14:06:27 2022 distribution of cycle lengths: Wed Sep 7 14:06:27 2022 1 relations: 3271883 Wed Sep 7 14:06:27 2022 2 relations: 3549805 Wed Sep 7 14:06:27 2022 3 relations: 3679600 Wed Sep 7 14:06:27 2022 4 relations: 3483558 Wed Sep 7 14:06:27 2022 5 relations: 3333131 Wed Sep 7 14:06:27 2022 6 relations: 3158349 Wed Sep 7 14:06:27 2022 7 relations: 2937094 Wed Sep 7 14:06:27 2022 8 relations: 2759145 Wed Sep 7 14:06:27 2022 9 relations: 2538391 Wed Sep 7 14:06:27 2022 10+ relations: 16079110 Wed Sep 7 14:06:27 2022 heaviest cycle: 28 relations Wed Sep 7 14:06:32 2022 commencing cycle optimization Wed Sep 7 14:07:42 2022 start with 367765102 relations Wed Sep 7 14:16:58 2022 pruned 13050534 relations Wed Sep 7 14:16:59 2022 memory use: 10470.9 MB Wed Sep 7 14:16:59 2022 distribution of cycle lengths: Wed Sep 7 14:16:59 2022 1 relations: 3271883 Wed Sep 7 14:16:59 2022 2 relations: 3640634 Wed Sep 7 14:16:59 2022 3 relations: 3828406 Wed Sep 7 14:16:59 2022 4 relations: 3603545 Wed Sep 7 14:16:59 2022 5 relations: 3459814 Wed Sep 7 14:16:59 2022 6 relations: 3257575 Wed Sep 7 14:16:59 2022 7 relations: 3033982 Wed Sep 7 14:16:59 2022 8 relations: 2830454 Wed Sep 7 14:16:59 2022 9 relations: 2600201 Wed Sep 7 14:16:59 2022 10+ relations: 15263572 Wed Sep 7 14:16:59 2022 heaviest cycle: 28 relations Wed Sep 7 14:17:52 2022 RelProcTime: 5525 Wed Sep 7 14:17:54 2022 elapsed time 01:32:08 Wed Sep 7 14:20:39 2022 Wed Sep 7 14:20:39 2022 Wed Sep 7 14:20:39 2022 Msieve v. 1.54 (SVN unknown) Wed Sep 7 14:20:39 2022 random seeds: e554bf02 8f93f8a8 Wed Sep 7 14:20:39 2022 MPI process 0 of 4 Wed Sep 7 14:20:39 2022 factoring 328606880159851653901498068502945699522341371334506631710815644380739452303853012248598043817669999935646198807225558536316875879511592524393207275859568918684662490812329849077724697066606457917 (195 digits) Wed Sep 7 14:20:39 2022 no P-1/P+1/ECM available, skipping Wed Sep 7 14:20:39 2022 commencing number field sieve (195-digit input) Wed Sep 7 14:20:39 2022 R0: -34836735077907242766383210973608962666 Wed Sep 7 14:20:39 2022 R1: 296155417798931427557711 Wed Sep 7 14:20:39 2022 A0: 16734616657131278714808079418694212811411912 Wed Sep 7 14:20:39 2022 A1: 28182385282593881106959852573533945574 Wed Sep 7 14:20:39 2022 A2: 11436240044684009125565858850309 Wed Sep 7 14:20:39 2022 A3: -209544207391865601662151 Wed Sep 7 14:20:39 2022 A4: -17097385717580408 Wed Sep 7 14:20:39 2022 A5: 51236640 Wed Sep 7 14:20:39 2022 skew 23248876.16, size 4.083e-19, alpha -7.021, combined = 9.770e-15 rroots = 5 Wed Sep 7 14:20:39 2022 Wed Sep 7 14:20:39 2022 commencing linear algebra Wed Sep 7 14:20:39 2022 using VBITS=256 Wed Sep 7 14:20:39 2022 initialized process (0,0) of 2 x 2 grid Wed Sep 7 14:20:44 2022 read 44790066 cycles Wed Sep 7 14:21:54 2022 cycles contain 161225468 unique relations Wed Sep 7 14:23:47 2022 read 161225468 relations Wed Sep 7 14:24:31 2022 using 20 quadratic characters above 4294917295 Wed Sep 7 14:25:06 2022 building initial matrix Wed Sep 7 14:53:12 2022 memory use: 22714.1 MB Wed Sep 7 14:53:36 2022 read 44790066 cycles Wed Sep 7 14:53:44 2022 matrix is 44789887 x 44790066 (21388.2 MB) with weight 6453218230 (144.08/col) Wed Sep 7 14:53:44 2022 sparse part has weight 5069313484 (113.18/col) Wed Sep 7 15:00:58 2022 filtering completed in 2 passes Wed Sep 7 15:01:06 2022 matrix is 44783226 x 44783405 (21387.6 MB) with weight 6452915956 (144.09/col) Wed Sep 7 15:01:06 2022 sparse part has weight 5069231008 (113.19/col) Wed Sep 7 15:02:51 2022 matrix starts at (0, 0) Wed Sep 7 15:02:54 2022 matrix is 22391733 x 22391751 (6223.3 MB) with weight 2054535827 (91.75/col) Wed Sep 7 15:02:54 2022 sparse part has weight 1362694767 (60.86/col) Wed Sep 7 15:02:54 2022 saving the first 240 matrix rows for later Wed Sep 7 15:02:56 2022 matrix includes 256 packed rows Wed Sep 7 15:03:05 2022 matrix is 22391493 x 22391751 (5478.1 MB) with weight 1172249252 (52.35/col) Wed Sep 7 15:03:05 2022 sparse part has weight 1077785868 (48.13/col) Wed Sep 7 15:03:05 2022 using GPU 0 (NVIDIA A100-SXM4-40GB) Wed Sep 7 15:03:05 2022 selected card has CUDA arch 8.0 Wed Sep 7 15:04:08 2022 commencing Lanczos iteration Wed Sep 7 15:04:08 2022 memory use: 12493.7 MB Wed Sep 7 15:04:35 2022 linear algebra at 0.1%, ETA 10h33m Wed Sep 7 15:05:14 2022 checking every 70000 dimensions, checkpointing every 4270000 dimensions Thu Sep 8 01:34:16 2022 lanczos halted after 175460 iterations (dim = 44782983) Thu Sep 8 01:36:48 2022 recovered 28 nontrivial dependencies Thu Sep 8 01:36:49 2022 BLanczosTime: 40570 Thu Sep 8 01:36:49 2022 elapsed time 11:16:10 Thu Sep 8 01:36:53 2022 Thu Sep 8 01:36:53 2022 Thu Sep 8 01:36:53 2022 Msieve v. 1.54 (SVN unknown) Thu Sep 8 01:36:53 2022 random seeds: 9ac9ffbd 013ba523 Thu Sep 8 01:36:53 2022 MPI process 0 of 1 Thu Sep 8 01:36:53 2022 factoring 328606880159851653901498068502945699522341371334506631710815644380739452303853012248598043817669999935646198807225558536316875879511592524393207275859568918684662490812329849077724697066606457917 (195 digits) Thu Sep 8 01:36:54 2022 no P-1/P+1/ECM available, skipping Thu Sep 8 01:36:54 2022 commencing number field sieve (195-digit input) Thu Sep 8 01:36:54 2022 R0: -34836735077907242766383210973608962666 Thu Sep 8 01:36:54 2022 R1: 296155417798931427557711 Thu Sep 8 01:36:54 2022 A0: 16734616657131278714808079418694212811411912 Thu Sep 8 01:36:54 2022 A1: 28182385282593881106959852573533945574 Thu Sep 8 01:36:54 2022 A2: 11436240044684009125565858850309 Thu Sep 8 01:36:54 2022 A3: -209544207391865601662151 Thu Sep 8 01:36:54 2022 A4: -17097385717580408 Thu Sep 8 01:36:54 2022 A5: 51236640 Thu Sep 8 01:36:54 2022 skew 23248876.16, size 4.083e-19, alpha -7.021, combined = 9.770e-15 rroots = 5 Thu Sep 8 01:36:54 2022 Thu Sep 8 01:36:54 2022 commencing square root phase Thu Sep 8 01:36:54 2022 reading relations for dependency 1 Thu Sep 8 01:36:57 2022 read 22393233 cycles Thu Sep 8 01:37:34 2022 cycles contain 80612876 unique relations Thu Sep 8 01:38:46 2022 read 80612876 relations Thu Sep 8 01:43:44 2022 multiplying 80612876 relations Thu Sep 8 01:53:19 2022 multiply complete, coefficients have about 5448.20 million bits Thu Sep 8 01:53:32 2022 initial square root is modulo 1287661 Thu Sep 8 02:27:02 2022 sqrtTime: 3008 Thu Sep 8 02:27:02 2022 p84 factor: 224811945151816676939636643947523714207739948394560564580591920659506060377066791131 Thu Sep 8 02:27:02 2022 p112 factor: 1461696708055000000071089434710462491450717089959210166163937075451062835687206403861139616127066198762267320007 Thu Sep 8 02:27:02 2022 elapsed time 00:50:09