Mon Sep 12 22:31:32 2022 Mon Sep 12 22:31:33 2022 Mon Sep 12 22:31:33 2022 Msieve v. 1.54 (SVN unknown) Mon Sep 12 22:31:33 2022 random seeds: d3992f9a a99982ed Mon Sep 12 22:31:33 2022 MPI process 0 of 1 Mon Sep 12 22:31:33 2022 factoring 464966766892357440724241082784513080888410068498426590969255002256431044061960356297355660629206589306067668213716579024817726312718756447177777930684417201 (156 digits) Mon Sep 12 22:31:33 2022 no P-1/P+1/ECM available, skipping Mon Sep 12 22:31:33 2022 commencing number field sieve (156-digit input) Mon Sep 12 22:31:33 2022 R0: -1603506243568725384221142711852 Mon Sep 12 22:31:33 2022 R1: 16969721822213797 Mon Sep 12 22:31:33 2022 A0: -45779104019721527982022868455765580311 Mon Sep 12 22:31:33 2022 A1: -9647849442065059606628403626101 Mon Sep 12 22:31:33 2022 A2: 4199103299126569766254083 Mon Sep 12 22:31:33 2022 A3: -3773294063878407035 Mon Sep 12 22:31:33 2022 A4: 89986524952 Mon Sep 12 22:31:33 2022 A5: 43860 Mon Sep 12 22:31:33 2022 skew 6008719.53, size 4.070e-15, alpha -6.813, combined = 2.634e-12 rroots = 3 Mon Sep 12 22:31:33 2022 Mon Sep 12 22:31:33 2022 commencing relation filtering Mon Sep 12 22:31:33 2022 setting target matrix density to 110.0 Mon Sep 12 22:31:33 2022 estimated available RAM is 257667.4 MB Mon Sep 12 22:31:33 2022 commencing duplicate removal, pass 1 Mon Sep 12 22:32:00 2022 error -9 reading relation 58015522 Mon Sep 12 22:32:22 2022 skipped 1 relations with composite factors Mon Sep 12 22:32:22 2022 found 5007034 hash collisions in 107156248 relations Mon Sep 12 22:32:44 2022 added 122315 free relations Mon Sep 12 22:32:44 2022 commencing duplicate removal, pass 2 Mon Sep 12 22:33:05 2022 found 2 duplicates and 107278561 unique relations Mon Sep 12 22:33:05 2022 memory use: 261.2 MB Mon Sep 12 22:33:05 2022 reading ideals above 720000 Mon Sep 12 22:33:05 2022 commencing singleton removal, initial pass Mon Sep 12 22:35:38 2022 memory use: 2756.0 MB Mon Sep 12 22:35:38 2022 reading all ideals from disk Mon Sep 12 22:35:38 2022 memory use: 4742.9 MB Mon Sep 12 22:35:42 2022 keeping 90689179 ideals with weight <= 200, target excess is 553863 Mon Sep 12 22:35:47 2022 commencing in-memory singleton removal Mon Sep 12 22:35:48 2022 begin with 107278561 relations and 90689179 unique ideals Mon Sep 12 22:35:52 2022 reduce to 74100171 relations and 54448849 ideals in 12 passes Mon Sep 12 22:35:52 2022 max relations containing the same ideal: 165 Mon Sep 12 22:36:06 2022 removing 8084481 relations and 6084481 ideals in 2000000 cliques Mon Sep 12 22:36:08 2022 commencing in-memory singleton removal Mon Sep 12 22:36:09 2022 begin with 66015690 relations and 54448849 unique ideals Mon Sep 12 22:36:11 2022 reduce to 65322202 relations and 47647963 ideals in 9 passes Mon Sep 12 22:36:11 2022 max relations containing the same ideal: 156 Mon Sep 12 22:36:24 2022 removing 6399012 relations and 4399012 ideals in 2000000 cliques Mon Sep 12 22:36:26 2022 commencing in-memory singleton removal Mon Sep 12 22:36:26 2022 begin with 58923190 relations and 47647963 unique ideals Mon Sep 12 22:36:28 2022 reduce to 58451142 relations and 42762393 ideals in 7 passes Mon Sep 12 22:36:28 2022 max relations containing the same ideal: 148 Mon Sep 12 22:36:39 2022 removing 5950434 relations and 3950434 ideals in 2000000 cliques Mon Sep 12 22:36:41 2022 commencing in-memory singleton removal Mon Sep 12 22:36:42 2022 begin with 52500708 relations and 42762393 unique ideals Mon Sep 12 22:36:43 2022 reduce to 52080676 relations and 38378592 ideals in 7 passes Mon Sep 12 22:36:43 2022 max relations containing the same ideal: 134 Mon Sep 12 22:36:54 2022 removing 5717354 relations and 3717354 ideals in 2000000 cliques Mon Sep 12 22:36:56 2022 commencing in-memory singleton removal Mon Sep 12 22:36:56 2022 begin with 46363322 relations and 38378592 unique ideals Mon Sep 12 22:36:57 2022 reduce to 45956902 relations and 34240893 ideals in 7 passes Mon Sep 12 22:36:57 2022 max relations containing the same ideal: 124 Mon Sep 12 22:37:06 2022 removing 5574633 relations and 3574633 ideals in 2000000 cliques Mon Sep 12 22:37:08 2022 commencing in-memory singleton removal Mon Sep 12 22:37:08 2022 begin with 40382269 relations and 34240893 unique ideals Mon Sep 12 22:37:09 2022 reduce to 39971468 relations and 30240012 ideals in 6 passes Mon Sep 12 22:37:09 2022 max relations containing the same ideal: 112 Mon Sep 12 22:37:18 2022 removing 5479936 relations and 3479936 ideals in 2000000 cliques Mon Sep 12 22:37:19 2022 commencing in-memory singleton removal Mon Sep 12 22:37:20 2022 begin with 34491532 relations and 30240012 unique ideals Mon Sep 12 22:37:20 2022 reduce to 34055065 relations and 26305180 ideals in 6 passes Mon Sep 12 22:37:20 2022 max relations containing the same ideal: 100 Mon Sep 12 22:37:28 2022 removing 5421420 relations and 3421420 ideals in 2000000 cliques Mon Sep 12 22:37:29 2022 commencing in-memory singleton removal Mon Sep 12 22:37:29 2022 begin with 28633645 relations and 26305180 unique ideals Mon Sep 12 22:37:30 2022 reduce to 28151698 relations and 22378060 ideals in 7 passes Mon Sep 12 22:37:30 2022 max relations containing the same ideal: 88 Mon Sep 12 22:37:36 2022 removing 5385059 relations and 3385059 ideals in 2000000 cliques Mon Sep 12 22:37:38 2022 commencing in-memory singleton removal Mon Sep 12 22:37:38 2022 begin with 22766639 relations and 22378060 unique ideals Mon Sep 12 22:37:38 2022 reduce to 22205910 relations and 18399438 ideals in 8 passes Mon Sep 12 22:37:38 2022 max relations containing the same ideal: 75 Mon Sep 12 22:37:44 2022 removing 5359814 relations and 3359814 ideals in 2000000 cliques Mon Sep 12 22:37:45 2022 commencing in-memory singleton removal Mon Sep 12 22:37:45 2022 begin with 16846096 relations and 18399438 unique ideals Mon Sep 12 22:37:45 2022 reduce to 16158636 relations and 14300229 ideals in 7 passes Mon Sep 12 22:37:45 2022 max relations containing the same ideal: 62 Mon Sep 12 22:37:49 2022 removing 3504247 relations and 2288322 ideals in 1215925 cliques Mon Sep 12 22:37:50 2022 commencing in-memory singleton removal Mon Sep 12 22:37:50 2022 begin with 12654389 relations and 14300229 unique ideals Mon Sep 12 22:37:50 2022 reduce to 12173003 relations and 11498234 ideals in 8 passes Mon Sep 12 22:37:50 2022 max relations containing the same ideal: 50 Mon Sep 12 22:37:54 2022 removing 178482 relations and 146195 ideals in 32287 cliques Mon Sep 12 22:37:54 2022 commencing in-memory singleton removal Mon Sep 12 22:37:54 2022 begin with 11994521 relations and 11498234 unique ideals Mon Sep 12 22:37:54 2022 reduce to 11992523 relations and 11350033 ideals in 5 passes Mon Sep 12 22:37:54 2022 max relations containing the same ideal: 49 Mon Sep 12 22:37:55 2022 relations with 0 large ideals: 1717 Mon Sep 12 22:37:55 2022 relations with 1 large ideals: 17086 Mon Sep 12 22:37:55 2022 relations with 2 large ideals: 201688 Mon Sep 12 22:37:55 2022 relations with 3 large ideals: 974369 Mon Sep 12 22:37:55 2022 relations with 4 large ideals: 2396770 Mon Sep 12 22:37:55 2022 relations with 5 large ideals: 3378991 Mon Sep 12 22:37:55 2022 relations with 6 large ideals: 2895920 Mon Sep 12 22:37:55 2022 relations with 7+ large ideals: 2125982 Mon Sep 12 22:37:55 2022 commencing 2-way merge Mon Sep 12 22:37:59 2022 reduce to 7980077 relation sets and 7337587 unique ideals Mon Sep 12 22:37:59 2022 commencing full merge Mon Sep 12 22:39:34 2022 memory use: 934.8 MB Mon Sep 12 22:39:34 2022 found 3752824 cycles, need 3677787 Mon Sep 12 22:39:35 2022 weight of 3677787 cycles is about 404766032 (110.06/cycle) Mon Sep 12 22:39:35 2022 distribution of cycle lengths: Mon Sep 12 22:39:35 2022 1 relations: 103897 Mon Sep 12 22:39:35 2022 2 relations: 222421 Mon Sep 12 22:39:35 2022 3 relations: 283289 Mon Sep 12 22:39:35 2022 4 relations: 307415 Mon Sep 12 22:39:35 2022 5 relations: 324523 Mon Sep 12 22:39:35 2022 6 relations: 322348 Mon Sep 12 22:39:35 2022 7 relations: 313193 Mon Sep 12 22:39:35 2022 8 relations: 292329 Mon Sep 12 22:39:35 2022 9 relations: 265078 Mon Sep 12 22:39:35 2022 10+ relations: 1243294 Mon Sep 12 22:39:35 2022 heaviest cycle: 25 relations Mon Sep 12 22:39:36 2022 commencing cycle optimization Mon Sep 12 22:39:40 2022 start with 29696174 relations Mon Sep 12 22:40:20 2022 pruned 1424394 relations Mon Sep 12 22:40:20 2022 memory use: 801.5 MB Mon Sep 12 22:40:20 2022 distribution of cycle lengths: Mon Sep 12 22:40:20 2022 1 relations: 103897 Mon Sep 12 22:40:20 2022 2 relations: 229299 Mon Sep 12 22:40:20 2022 3 relations: 297641 Mon Sep 12 22:40:20 2022 4 relations: 322944 Mon Sep 12 22:40:20 2022 5 relations: 343954 Mon Sep 12 22:40:20 2022 6 relations: 341905 Mon Sep 12 22:40:20 2022 7 relations: 332019 Mon Sep 12 22:40:20 2022 8 relations: 306888 Mon Sep 12 22:40:20 2022 9 relations: 275716 Mon Sep 12 22:40:20 2022 10+ relations: 1123524 Mon Sep 12 22:40:20 2022 heaviest cycle: 24 relations Mon Sep 12 22:40:24 2022 RelProcTime: 531 Mon Sep 12 22:40:24 2022 elapsed time 00:08:51 Mon Sep 12 22:40:28 2022 Mon Sep 12 22:40:28 2022 Mon Sep 12 22:40:28 2022 Msieve v. 1.54 (SVN unknown) Mon Sep 12 22:40:28 2022 random seeds: a3f1714f 00df8544 Mon Sep 12 22:40:28 2022 MPI process 0 of 4 Mon Sep 12 22:40:28 2022 factoring 464966766892357440724241082784513080888410068498426590969255002256431044061960356297355660629206589306067668213716579024817726312718756447177777930684417201 (156 digits) Mon Sep 12 22:40:29 2022 no P-1/P+1/ECM available, skipping Mon Sep 12 22:40:29 2022 commencing number field sieve (156-digit input) Mon Sep 12 22:40:29 2022 R0: -1603506243568725384221142711852 Mon Sep 12 22:40:29 2022 R1: 16969721822213797 Mon Sep 12 22:40:29 2022 A0: -45779104019721527982022868455765580311 Mon Sep 12 22:40:29 2022 A1: -9647849442065059606628403626101 Mon Sep 12 22:40:29 2022 A2: 4199103299126569766254083 Mon Sep 12 22:40:29 2022 A3: -3773294063878407035 Mon Sep 12 22:40:29 2022 A4: 89986524952 Mon Sep 12 22:40:29 2022 A5: 43860 Mon Sep 12 22:40:29 2022 skew 6008719.53, size 4.070e-15, alpha -6.813, combined = 2.634e-12 rroots = 3 Mon Sep 12 22:40:29 2022 Mon Sep 12 22:40:29 2022 commencing linear algebra Mon Sep 12 22:40:29 2022 using VBITS=256 Mon Sep 12 22:40:29 2022 initialized process (0,0) of 2 x 2 grid Mon Sep 12 22:40:29 2022 read 3677787 cycles Mon Sep 12 22:40:34 2022 cycles contain 11686301 unique relations Mon Sep 12 22:41:28 2022 read 11686301 relations Mon Sep 12 22:41:39 2022 using 20 quadratic characters above 4294917295 Mon Sep 12 22:42:19 2022 building initial matrix Mon Sep 12 22:44:00 2022 memory use: 1606.4 MB Mon Sep 12 22:44:02 2022 read 3677787 cycles Mon Sep 12 22:44:02 2022 matrix is 3677609 x 3677787 (1589.3 MB) with weight 487973720 (132.68/col) Mon Sep 12 22:44:02 2022 sparse part has weight 376173897 (102.28/col) Mon Sep 12 22:44:24 2022 filtering completed in 2 passes Mon Sep 12 22:44:25 2022 matrix is 3677279 x 3677456 (1589.3 MB) with weight 487955980 (132.69/col) Mon Sep 12 22:44:25 2022 sparse part has weight 376166344 (102.29/col) Mon Sep 12 22:44:31 2022 matrix starts at (0, 0) Mon Sep 12 22:44:32 2022 matrix is 1838760 x 1838740 (469.6 MB) with weight 158768418 (86.35/col) Mon Sep 12 22:44:32 2022 sparse part has weight 102868643 (55.95/col) Mon Sep 12 22:44:32 2022 saving the first 240 matrix rows for later Mon Sep 12 22:44:32 2022 matrix includes 256 packed rows Mon Sep 12 22:44:33 2022 matrix is 1838520 x 1838740 (402.9 MB) with weight 85326537 (46.40/col) Mon Sep 12 22:44:33 2022 sparse part has weight 76188837 (41.44/col) Mon Sep 12 22:44:33 2022 using GPU 0 (NVIDIA A100-SXM4-40GB) Mon Sep 12 22:44:33 2022 selected card has CUDA arch 8.0 Mon Sep 12 22:44:37 2022 commencing Lanczos iteration Mon Sep 12 22:44:37 2022 memory use: 932.0 MB Mon Sep 12 22:44:39 2022 linear algebra at 0.8%, ETA 0h 3m Mon Sep 12 22:44:42 2022 checking every 920000 dimensions, checkpointing every 56120000 dimensions Mon Sep 12 22:48:33 2022 lanczos halted after 14408 iterations (dim = 3677037) Mon Sep 12 22:48:45 2022 recovered 30 nontrivial dependencies Mon Sep 12 22:48:45 2022 BLanczosTime: 496 Mon Sep 12 22:48:45 2022 elapsed time 00:08:17 Mon Sep 12 22:49:37 2022 Mon Sep 12 22:49:37 2022 Mon Sep 12 22:49:37 2022 Msieve v. 1.54 (SVN unknown) Mon Sep 12 22:49:37 2022 random seeds: 1bdce3f3 bd8ecd3a Mon Sep 12 22:49:37 2022 MPI process 0 of 1 Mon Sep 12 22:49:37 2022 factoring 464966766892357440724241082784513080888410068498426590969255002256431044061960356297355660629206589306067668213716579024817726312718756447177777930684417201 (156 digits) Mon Sep 12 22:49:37 2022 no P-1/P+1/ECM available, skipping Mon Sep 12 22:49:37 2022 commencing number field sieve (156-digit input) Mon Sep 12 22:49:37 2022 R0: -1603506243568725384221142711852 Mon Sep 12 22:49:37 2022 R1: 16969721822213797 Mon Sep 12 22:49:37 2022 A0: -45779104019721527982022868455765580311 Mon Sep 12 22:49:37 2022 A1: -9647849442065059606628403626101 Mon Sep 12 22:49:37 2022 A2: 4199103299126569766254083 Mon Sep 12 22:49:37 2022 A3: -3773294063878407035 Mon Sep 12 22:49:37 2022 A4: 89986524952 Mon Sep 12 22:49:37 2022 A5: 43860 Mon Sep 12 22:49:37 2022 skew 6008719.53, size 4.070e-15, alpha -6.813, combined = 2.634e-12 rroots = 3 Mon Sep 12 22:49:37 2022 Mon Sep 12 22:49:37 2022 commencing square root phase Mon Sep 12 22:49:37 2022 reading relations for dependency 1 Mon Sep 12 22:49:39 2022 read 1839177 cycles Mon Sep 12 22:49:41 2022 cycles contain 5843434 unique relations Mon Sep 12 22:49:48 2022 read 5843434 relations Mon Sep 12 22:50:03 2022 multiplying 5843434 relations Mon Sep 12 22:50:34 2022 multiply complete, coefficients have about 298.68 million bits Mon Sep 12 22:50:35 2022 initial square root is modulo 228911 Mon Sep 12 22:51:57 2022 GCD is N, no factor found Mon Sep 12 22:51:57 2022 reading relations for dependency 2 Mon Sep 12 22:51:57 2022 read 1838713 cycles Mon Sep 12 22:51:59 2022 cycles contain 5843398 unique relations Mon Sep 12 22:52:05 2022 read 5843398 relations Mon Sep 12 22:52:20 2022 multiplying 5843398 relations Mon Sep 12 22:52:48 2022 multiply complete, coefficients have about 298.68 million bits Mon Sep 12 22:52:48 2022 initial square root is modulo 228911 Mon Sep 12 22:54:11 2022 sqrtTime: 274 Mon Sep 12 22:54:11 2022 p61 factor: 9781735752007979820096936548475137164379055133171022384415841 Mon Sep 12 22:54:11 2022 p95 factor: 47534177847414225112525093559442535911422908560812969802656771347660372962319309849320994234961 Mon Sep 12 22:54:11 2022 elapsed time 00:04:34