Wed Jan 5 01:11:34 2022 Wed Jan 5 01:11:34 2022 Wed Jan 5 01:11:34 2022 Msieve v. 1.54 (SVN unknown) Wed Jan 5 01:11:34 2022 random seeds: 63f03baf 119b5b34 Wed Jan 5 01:11:34 2022 factoring 515304522012627007251396299865755672568988155275175145927464394217654667679282717318766216961985060586176358270672670919650895144104599776948440257976243373400979960367056712591588745549093844896455117985981462508370107990778290238803823985599604704817527064877716597951 (270 digits) Wed Jan 5 01:11:34 2022 no P-1/P+1/ECM available, skipping Wed Jan 5 01:11:34 2022 commencing number field sieve (270-digit input) Wed Jan 5 01:11:34 2022 R0: 17232305151532130693766584035801498122561159841 Wed Jan 5 01:11:34 2022 R1: -1 Wed Jan 5 01:11:34 2022 A0: -7129 Wed Jan 5 01:11:34 2022 A1: 0 Wed Jan 5 01:11:34 2022 A2: 0 Wed Jan 5 01:11:34 2022 A3: 0 Wed Jan 5 01:11:34 2022 A4: 0 Wed Jan 5 01:11:34 2022 A5: 0 Wed Jan 5 01:11:34 2022 A6: 1 Wed Jan 5 01:11:34 2022 skew 4.39, size 8.609e-14, alpha 0.313, combined = 1.843e-14 rroots = 2 Wed Jan 5 01:11:34 2022 Wed Jan 5 01:11:34 2022 commencing relation filtering Wed Jan 5 01:11:34 2022 setting target matrix density to 120.0 Wed Jan 5 01:11:34 2022 estimated available RAM is 515600.8 MB Wed Jan 5 01:11:34 2022 commencing duplicate removal, pass 1 Wed Jan 5 01:50:36 2022 skipped 711 relations with b > 2^32 Wed Jan 5 01:50:36 2022 skipped 175 relations with composite factors Wed Jan 5 01:50:36 2022 found 47203083 hash collisions in 483988725 relations Wed Jan 5 01:50:44 2022 added 1218914 free relations Wed Jan 5 01:50:44 2022 commencing duplicate removal, pass 2 Wed Jan 5 01:52:47 2022 found 0 duplicates and 485207639 unique relations Wed Jan 5 01:52:47 2022 memory use: 2259.0 MB Wed Jan 5 01:52:47 2022 reading ideals above 720000 Wed Jan 5 01:52:47 2022 commencing singleton removal, initial pass Wed Jan 5 02:35:11 2022 memory use: 11024.0 MB Wed Jan 5 02:35:12 2022 reading all ideals from disk Wed Jan 5 02:35:15 2022 memory use: 20902.3 MB Wed Jan 5 02:35:33 2022 keeping 479950239 ideals with weight <= 200, target excess is 2504185 Wed Jan 5 02:36:04 2022 commencing in-memory singleton removal Wed Jan 5 02:36:18 2022 begin with 485207639 relations and 479950239 unique ideals Wed Jan 5 02:39:11 2022 reduce to 275651595 relations and 245658218 ideals in 17 passes Wed Jan 5 02:39:11 2022 max relations containing the same ideal: 149 Wed Jan 5 02:40:18 2022 removing 17707920 relations and 15707921 ideals in 2000000 cliques Wed Jan 5 02:40:23 2022 commencing in-memory singleton removal Wed Jan 5 02:40:31 2022 begin with 257943675 relations and 245658218 unique ideals Wed Jan 5 02:41:50 2022 reduce to 256951922 relations and 228947514 ideals in 9 passes Wed Jan 5 02:41:50 2022 max relations containing the same ideal: 145 Wed Jan 5 02:42:52 2022 removing 13159760 relations and 11159760 ideals in 2000000 cliques Wed Jan 5 02:42:57 2022 commencing in-memory singleton removal Wed Jan 5 02:43:04 2022 begin with 243792162 relations and 228947514 unique ideals Wed Jan 5 02:44:19 2022 reduce to 243188842 relations and 217179073 ideals in 9 passes Wed Jan 5 02:44:19 2022 max relations containing the same ideal: 139 Wed Jan 5 02:45:18 2022 removing 11739250 relations and 9739250 ideals in 2000000 cliques Wed Jan 5 02:45:23 2022 commencing in-memory singleton removal Wed Jan 5 02:45:30 2022 begin with 231449592 relations and 217179073 unique ideals Wed Jan 5 02:46:41 2022 reduce to 230940262 relations and 206926086 ideals in 9 passes Wed Jan 5 02:46:41 2022 max relations containing the same ideal: 134 Wed Jan 5 02:47:36 2022 removing 10973393 relations and 8973393 ideals in 2000000 cliques Wed Jan 5 02:47:41 2022 commencing in-memory singleton removal Wed Jan 5 02:47:47 2022 begin with 219966869 relations and 206926086 unique ideals Wed Jan 5 02:48:47 2022 reduce to 219497755 relations and 197479545 ideals in 8 passes Wed Jan 5 02:48:47 2022 max relations containing the same ideal: 129 Wed Jan 5 02:49:40 2022 removing 10483689 relations and 8483689 ideals in 2000000 cliques Wed Jan 5 02:49:44 2022 commencing in-memory singleton removal Wed Jan 5 02:49:50 2022 begin with 209014066 relations and 197479545 unique ideals Wed Jan 5 02:50:47 2022 reduce to 208568888 relations and 188546777 ideals in 8 passes Wed Jan 5 02:50:47 2022 max relations containing the same ideal: 125 Wed Jan 5 02:51:37 2022 removing 10144652 relations and 8144652 ideals in 2000000 cliques Wed Jan 5 02:51:41 2022 commencing in-memory singleton removal Wed Jan 5 02:51:47 2022 begin with 198424236 relations and 188546777 unique ideals Wed Jan 5 02:52:41 2022 reduce to 197986381 relations and 179960342 ideals in 8 passes Wed Jan 5 02:52:41 2022 max relations containing the same ideal: 121 Wed Jan 5 02:53:29 2022 removing 9903047 relations and 7903047 ideals in 2000000 cliques Wed Jan 5 02:53:33 2022 commencing in-memory singleton removal Wed Jan 5 02:53:38 2022 begin with 188083334 relations and 179960342 unique ideals Wed Jan 5 02:54:29 2022 reduce to 187646576 relations and 171616373 ideals in 8 passes Wed Jan 5 02:54:29 2022 max relations containing the same ideal: 115 Wed Jan 5 02:55:15 2022 removing 9724257 relations and 7724257 ideals in 2000000 cliques Wed Jan 5 02:55:19 2022 commencing in-memory singleton removal Wed Jan 5 02:55:24 2022 begin with 177922319 relations and 171616373 unique ideals Wed Jan 5 02:56:06 2022 reduce to 177481343 relations and 163446922 ideals in 7 passes Wed Jan 5 02:56:06 2022 max relations containing the same ideal: 112 Wed Jan 5 02:56:50 2022 removing 9592602 relations and 7592602 ideals in 2000000 cliques Wed Jan 5 02:56:53 2022 commencing in-memory singleton removal Wed Jan 5 02:56:58 2022 begin with 167888741 relations and 163446922 unique ideals Wed Jan 5 02:57:43 2022 reduce to 167435878 relations and 155396791 ideals in 8 passes Wed Jan 5 02:57:43 2022 max relations containing the same ideal: 107 Wed Jan 5 02:58:24 2022 removing 9508855 relations and 7508855 ideals in 2000000 cliques Wed Jan 5 02:58:28 2022 commencing in-memory singleton removal Wed Jan 5 02:58:32 2022 begin with 157927023 relations and 155396791 unique ideals Wed Jan 5 02:59:21 2022 reduce to 157457961 relations and 147414005 ideals in 9 passes Wed Jan 5 02:59:21 2022 max relations containing the same ideal: 101 Wed Jan 5 02:59:59 2022 removing 9450904 relations and 7450904 ideals in 2000000 cliques Wed Jan 5 03:00:03 2022 commencing in-memory singleton removal Wed Jan 5 03:00:07 2022 begin with 148007057 relations and 147414005 unique ideals Wed Jan 5 03:00:52 2022 reduce to 147515751 relations and 139466414 ideals in 9 passes Wed Jan 5 03:00:52 2022 max relations containing the same ideal: 99 Wed Jan 5 03:01:29 2022 removing 9427511 relations and 7427511 ideals in 2000000 cliques Wed Jan 5 03:01:33 2022 commencing in-memory singleton removal Wed Jan 5 03:01:36 2022 begin with 138088240 relations and 139466414 unique ideals Wed Jan 5 03:02:19 2022 reduce to 137569782 relations and 131514353 ideals in 9 passes Wed Jan 5 03:02:19 2022 max relations containing the same ideal: 93 Wed Jan 5 03:02:53 2022 removing 9430106 relations and 7430106 ideals in 2000000 cliques Wed Jan 5 03:02:57 2022 commencing in-memory singleton removal Wed Jan 5 03:03:00 2022 begin with 128139676 relations and 131514353 unique ideals Wed Jan 5 03:03:34 2022 reduce to 127583666 relations and 123521091 ideals in 8 passes Wed Jan 5 03:03:35 2022 max relations containing the same ideal: 90 Wed Jan 5 03:04:07 2022 removing 6090181 relations and 4932461 ideals in 1157720 cliques Wed Jan 5 03:04:10 2022 commencing in-memory singleton removal Wed Jan 5 03:04:13 2022 begin with 121493485 relations and 123521091 unique ideals Wed Jan 5 03:04:42 2022 reduce to 121256301 relations and 118349487 ideals in 7 passes Wed Jan 5 03:04:42 2022 max relations containing the same ideal: 88 Wed Jan 5 03:05:25 2022 relations with 0 large ideals: 88558 Wed Jan 5 03:05:25 2022 relations with 1 large ideals: 52789 Wed Jan 5 03:05:25 2022 relations with 2 large ideals: 699974 Wed Jan 5 03:05:25 2022 relations with 3 large ideals: 4180702 Wed Jan 5 03:05:25 2022 relations with 4 large ideals: 13682092 Wed Jan 5 03:05:25 2022 relations with 5 large ideals: 26914285 Wed Jan 5 03:05:25 2022 relations with 6 large ideals: 32948423 Wed Jan 5 03:05:25 2022 relations with 7+ large ideals: 42689478 Wed Jan 5 03:05:25 2022 commencing 2-way merge Wed Jan 5 03:06:10 2022 reduce to 75702303 relation sets and 72795489 unique ideals Wed Jan 5 03:06:10 2022 commencing full merge Wed Jan 5 03:25:41 2022 memory use: 9107.4 MB Wed Jan 5 03:25:47 2022 found 33530163 cycles, need 33427689 Wed Jan 5 03:25:54 2022 weight of 33427689 cycles is about 4012052065 (120.02/cycle) Wed Jan 5 03:25:54 2022 distribution of cycle lengths: Wed Jan 5 03:25:54 2022 1 relations: 2364247 Wed Jan 5 03:25:54 2022 2 relations: 2536840 Wed Jan 5 03:25:54 2022 3 relations: 2590279 Wed Jan 5 03:25:54 2022 4 relations: 2487055 Wed Jan 5 03:25:54 2022 5 relations: 2385519 Wed Jan 5 03:25:54 2022 6 relations: 2267072 Wed Jan 5 03:25:54 2022 7 relations: 2124239 Wed Jan 5 03:25:54 2022 8 relations: 2001168 Wed Jan 5 03:25:54 2022 9 relations: 1867475 Wed Jan 5 03:25:54 2022 10+ relations: 12803795 Wed Jan 5 03:25:54 2022 heaviest cycle: 28 relations Wed Jan 5 03:25:58 2022 commencing cycle optimization Wed Jan 5 03:26:46 2022 start with 287959888 relations Wed Jan 5 03:33:50 2022 pruned 10730435 relations Wed Jan 5 03:33:50 2022 memory use: 7923.0 MB Wed Jan 5 03:33:50 2022 distribution of cycle lengths: Wed Jan 5 03:33:50 2022 1 relations: 2364247 Wed Jan 5 03:33:50 2022 2 relations: 2594123 Wed Jan 5 03:33:50 2022 3 relations: 2691395 Wed Jan 5 03:33:50 2022 4 relations: 2574742 Wed Jan 5 03:33:50 2022 5 relations: 2481620 Wed Jan 5 03:33:50 2022 6 relations: 2343533 Wed Jan 5 03:33:50 2022 7 relations: 2201923 Wed Jan 5 03:33:50 2022 8 relations: 2061432 Wed Jan 5 03:33:50 2022 9 relations: 1922322 Wed Jan 5 03:33:50 2022 10+ relations: 12192352 Wed Jan 5 03:33:50 2022 heaviest cycle: 28 relations Wed Jan 5 03:34:37 2022 RelProcTime: 8583 Wed Jan 5 03:34:37 2022 Wed Jan 5 03:34:37 2022 commencing linear algebra Wed Jan 5 03:34:37 2022 using VBITS=384 Wed Jan 5 03:34:38 2022 read 33427689 cycles Wed Jan 5 03:35:27 2022 cycles contain 119314804 unique relations Wed Jan 5 03:42:06 2022 read 119314804 relations Wed Jan 5 03:44:53 2022 using 20 quadratic characters above 4294917295 Wed Jan 5 03:50:24 2022 building initial matrix Wed Jan 5 04:08:09 2022 memory use: 15077.7 MB Wed Jan 5 04:08:19 2022 read 33427689 cycles Wed Jan 5 04:08:23 2022 matrix is 33427511 x 33427689 (15824.7 MB) with weight 4512435730 (134.99/col) Wed Jan 5 04:08:23 2022 sparse part has weight 3780652080 (113.10/col) Wed Jan 5 04:12:19 2022 filtering completed in 2 passes Wed Jan 5 04:12:24 2022 matrix is 33425427 x 33425597 (15824.6 MB) with weight 4512365796 (135.00/col) Wed Jan 5 04:12:24 2022 sparse part has weight 3780630000 (113.11/col) Wed Jan 5 04:15:29 2022 matrix starts at (0, 0) Wed Jan 5 04:15:32 2022 matrix is 33425427 x 33425597 (15824.6 MB) with weight 4512365796 (135.00/col) Wed Jan 5 04:15:32 2022 sparse part has weight 3780630000 (113.11/col) Wed Jan 5 04:15:32 2022 saving the first 368 matrix rows for later Wed Jan 5 04:15:37 2022 matrix includes 384 packed rows Wed Jan 5 04:15:50 2022 matrix is 33425059 x 33425597 (14907.4 MB) with weight 3392241945 (101.49/col) Wed Jan 5 04:15:50 2022 sparse part has weight 3239373020 (96.91/col) Wed Jan 5 04:15:50 2022 using GPU 1 (Tesla V100-PCIE-32GB) Wed Jan 5 04:15:50 2022 selected card has CUDA arch 7.0 Wed Jan 5 04:18:42 2022 commencing Lanczos iteration Wed Jan 5 12:15:00 2022 Wed Jan 5 12:15:00 2022 Wed Jan 5 12:15:00 2022 Msieve v. 1.54 (SVN Unversioned directory) Wed Jan 5 12:15:00 2022 random seeds: a6a41306 42725fab Wed Jan 5 12:15:00 2022 MPI process 0 of 2 Wed Jan 5 12:15:00 2022 factoring 515304522012627007251396299865755672568988155275175145927464394217654667679282717318766216961985060586176358270672670919650895144104599776948440257976243373400979960367056712591588745549093844896455117985981462508370107990778290238803823985599604704817527064877716597951 (270 digits) Wed Jan 5 12:15:05 2022 no P-1/P+1/ECM available, skipping Wed Jan 5 12:15:05 2022 commencing number field sieve (270-digit input) Wed Jan 5 12:15:05 2022 R0: 17232305151532130693766584035801498122561159841 Wed Jan 5 12:15:05 2022 R1: -1 Wed Jan 5 12:15:05 2022 A0: -7129 Wed Jan 5 12:15:05 2022 A1: 0 Wed Jan 5 12:15:05 2022 A2: 0 Wed Jan 5 12:15:05 2022 A3: 0 Wed Jan 5 12:15:05 2022 A4: 0 Wed Jan 5 12:15:05 2022 A5: 0 Wed Jan 5 12:15:05 2022 A6: 1 Wed Jan 5 12:15:05 2022 skew 4.39, size 8.609e-14, alpha 0.313, combined = 1.843e-14 rroots = 2 Wed Jan 5 12:15:05 2022 Wed Jan 5 12:15:05 2022 commencing linear algebra Wed Jan 5 12:15:05 2022 using VBITS=128 Wed Jan 5 12:15:05 2022 initialized process (0,0) of 1 x 2 grid Wed Jan 5 12:15:16 2022 read 33425597 cycles Wed Jan 5 12:19:00 2022 cycles contain 119314689 unique relations Wed Jan 5 12:48:34 2022 read 119314689 relations Wed Jan 5 13:01:50 2022 using 20 quadratic characters above 4294917295 Wed Jan 5 13:19:56 2022 building initial matrix Wed Jan 5 14:46:16 2022 memory use: 15077.6 MB Wed Jan 5 14:47:28 2022 read 33425597 cycles Wed Jan 5 14:47:36 2022 matrix is 33425427 x 33425597 (15824.6 MB) with weight 4512365796 (135.00/col) Wed Jan 5 14:47:36 2022 sparse part has weight 3780630000 (113.11/col) Wed Jan 5 15:14:57 2022 filtering completed in 1 passes Wed Jan 5 15:15:06 2022 matrix is 33425427 x 33425597 (15824.6 MB) with weight 4512365796 (135.00/col) Wed Jan 5 15:15:06 2022 sparse part has weight 3780630000 (113.11/col) Wed Jan 5 15:23:11 2022 matrix starts at (0, 0) Wed Jan 5 15:23:15 2022 matrix is 33425427 x 16712802 (7912.3 MB) with weight 2256193520 (135.00/col) Wed Jan 5 15:23:15 2022 sparse part has weight 1890315194 (113.11/col) Wed Jan 5 15:23:15 2022 saving the first 112 matrix rows for later Wed Jan 5 15:23:24 2022 matrix includes 128 packed rows Wed Jan 5 15:23:33 2022 matrix is 33425315 x 16712802 (7408.3 MB) with weight 1826663343 (109.30/col) Wed Jan 5 15:23:33 2022 sparse part has weight 1741486991 (104.20/col) Wed Jan 5 15:23:33 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Wed Jan 5 15:26:48 2022 commencing Lanczos iteration Wed Jan 5 15:26:48 2022 memory use: 9073.1 MB Wed Jan 5 15:41:26 2022 linear algebra at 0.0%, ETA 4909h14m Wed Jan 5 15:42:56 2022 Wed Jan 5 15:42:56 2022 Wed Jan 5 15:42:56 2022 Msieve v. 1.54 (SVN Unversioned directory) Wed Jan 5 15:42:56 2022 random seeds: de6ca319 bb420664 Wed Jan 5 15:42:56 2022 MPI process 0 of 320 Wed Jan 5 15:42:56 2022 factoring 515304522012627007251396299865755672568988155275175145927464394217654667679282717318766216961985060586176358270672670919650895144104599776948440257976243373400979960367056712591588745549093844896455117985981462508370107990778290238803823985599604704817527064877716597951 (270 digits) Wed Jan 5 15:43:01 2022 no P-1/P+1/ECM available, skipping Wed Jan 5 15:43:01 2022 commencing number field sieve (270-digit input) Wed Jan 5 15:43:01 2022 R0: 17232305151532130693766584035801498122561159841 Wed Jan 5 15:43:01 2022 R1: -1 Wed Jan 5 15:43:01 2022 A0: -7129 Wed Jan 5 15:43:01 2022 A1: 0 Wed Jan 5 15:43:01 2022 A2: 0 Wed Jan 5 15:43:01 2022 A3: 0 Wed Jan 5 15:43:01 2022 A4: 0 Wed Jan 5 15:43:01 2022 A5: 0 Wed Jan 5 15:43:01 2022 A6: 1 Wed Jan 5 15:43:01 2022 skew 4.39, size 8.609e-14, alpha 0.313, combined = 1.843e-14 rroots = 2 Wed Jan 5 15:43:01 2022 Wed Jan 5 15:43:01 2022 commencing linear algebra Wed Jan 5 15:43:01 2022 using VBITS=128 Wed Jan 5 15:43:01 2022 skipping matrix build Wed Jan 5 15:43:02 2022 initialized process (0,0) of 16 x 20 grid Wed Jan 5 15:43:05 2022 matrix starts at (0, 0) Wed Jan 5 15:43:05 2022 matrix is 2089197 x 1200858 (117.1 MB) with weight 43272911 (36.03/col) Wed Jan 5 15:43:05 2022 sparse part has weight 17484986 (14.56/col) Wed Jan 5 15:43:05 2022 saving the first 112 matrix rows for later Wed Jan 5 15:43:05 2022 matrix includes 128 packed rows Wed Jan 5 15:43:06 2022 matrix is 2089085 x 1200858 (91.2 MB) with weight 11759744 ( 9.79/col) Wed Jan 5 15:43:06 2022 sparse part has weight 9504370 ( 7.91/col) Wed Jan 5 15:43:06 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Wed Jan 5 15:43:07 2022 commencing Lanczos iteration (12 threads) Wed Jan 5 15:43:07 2022 memory use: 125.4 MB Wed Jan 5 15:43:12 2022 linear algebra at 0.0%, ETA 6h 4m Wed Jan 5 15:43:13 2022 checkpointing every 3670000 dimensions Wed Jan 5 23:13:57 2022 lanczos halted after 262702 iterations (dim = 33425312) Wed Jan 5 23:19:59 2022 recovered 29 nontrivial dependencies Wed Jan 5 23:19:59 2022 BLanczosTime: 27418 Wed Jan 5 23:19:59 2022 elapsed time 07:37:03 Thu Jan 6 00:10:00 2022 Thu Jan 6 00:10:00 2022 Thu Jan 6 00:10:00 2022 Msieve v. 1.54 (SVN unknown) Thu Jan 6 00:10:00 2022 random seeds: d0d82435 412498ee Thu Jan 6 00:10:00 2022 factoring 515304522012627007251396299865755672568988155275175145927464394217654667679282717318766216961985060586176358270672670919650895144104599776948440257976243373400979960367056712591588745549093844896455117985981462508370107990778290238803823985599604704817527064877716597951 (270 digits) Thu Jan 6 00:10:00 2022 no P-1/P+1/ECM available, skipping Thu Jan 6 00:10:00 2022 commencing number field sieve (270-digit input) Thu Jan 6 00:10:01 2022 R0: 17232305151532130693766584035801498122561159841 Thu Jan 6 00:10:01 2022 R1: -1 Thu Jan 6 00:10:01 2022 A0: -7129 Thu Jan 6 00:10:01 2022 A1: 0 Thu Jan 6 00:10:01 2022 A2: 0 Thu Jan 6 00:10:01 2022 A3: 0 Thu Jan 6 00:10:01 2022 A4: 0 Thu Jan 6 00:10:01 2022 A5: 0 Thu Jan 6 00:10:01 2022 A6: 1 Thu Jan 6 00:10:01 2022 skew 4.39, size 8.609e-14, alpha 0.313, combined = 1.843e-14 rroots = 2 Thu Jan 6 00:10:01 2022 Thu Jan 6 00:10:01 2022 commencing square root phase Thu Jan 6 00:10:01 2022 reading relations for dependency 1 Thu Jan 6 00:10:03 2022 read 16712175 cycles Thu Jan 6 00:10:32 2022 cycles contain 59657376 unique relations Thu Jan 6 00:14:11 2022 read 59657376 relations Thu Jan 6 00:17:24 2022 multiplying 59657376 relations Thu Jan 6 00:53:54 2022 multiply complete, coefficients have about 1649.99 million bits Thu Jan 6 00:53:58 2022 initial square root is modulo 25199983 Thu Jan 6 01:31:14 2022 sqrtTime: 4873 Thu Jan 6 01:31:14 2022 p76 factor: 1021653045042219328908472047308596991716237607447763490856579734064792937731 Thu Jan 6 01:31:14 2022 p195 factor: 504383092198714380170018086593608786786037204112717937015857725498716222429481472108657755691280812434606963131977936811524307425552106423221534985256463513844530662867661231946103130591423657621 Thu Jan 6 01:31:14 2022 elapsed time 01:21:14