Sat Sep 11 18:50:19 2021 Sat Sep 11 18:50:19 2021 Sat Sep 11 18:50:19 2021 Msieve v. 1.54 (SVN unknown) Sat Sep 11 18:50:19 2021 random seeds: 9135fb7b cc494c4d Sat Sep 11 18:50:19 2021 factoring 3028687701294575391243396715892352149510655559615211668781544762030778575659381281468549475252613397084823364576760485594199762982666752881446332159891482705400953843418199678107262309624935600282008778238224361 (211 digits) Sat Sep 11 18:50:20 2021 no P-1/P+1/ECM available, skipping Sat Sep 11 18:50:20 2021 commencing number field sieve (211-digit input) Sat Sep 11 18:50:20 2021 R0: 1323061160338989876063019332640553314372242002 Sat Sep 11 18:50:20 2021 R1: -36373907685853466410249 Sat Sep 11 18:50:20 2021 A0: 1 Sat Sep 11 18:50:20 2021 A1: 3 Sat Sep 11 18:50:20 2021 A2: -3 Sat Sep 11 18:50:20 2021 A3: -4 Sat Sep 11 18:50:20 2021 A4: 1 Sat Sep 11 18:50:20 2021 A5: 1 Sat Sep 11 18:50:20 2021 skew 1.00, size 2.317e-15, alpha 2.379, combined = 1.631e-12 rroots = 5 Sat Sep 11 18:50:20 2021 Sat Sep 11 18:50:20 2021 commencing relation filtering Sat Sep 11 18:50:20 2021 setting target matrix density to 120.0 Sat Sep 11 18:50:20 2021 estimated available RAM is 515600.8 MB Sat Sep 11 18:50:20 2021 commencing duplicate removal, pass 1 Sat Sep 11 19:01:35 2021 skipped 39 relations with b > 2^32 Sat Sep 11 19:01:35 2021 skipped 47 relations with composite factors Sat Sep 11 19:01:35 2021 found 22043362 hash collisions in 132583375 relations Sat Sep 11 19:01:41 2021 added 2926300 free relations Sat Sep 11 19:01:41 2021 commencing duplicate removal, pass 2 Sat Sep 11 19:03:28 2021 found 19248822 duplicates and 116260853 unique relations Sat Sep 11 19:03:28 2021 memory use: 660.8 MB Sat Sep 11 19:03:28 2021 reading ideals above 720000 Sat Sep 11 19:03:28 2021 commencing singleton removal, initial pass Sat Sep 11 19:13:38 2021 memory use: 2756.0 MB Sat Sep 11 19:13:38 2021 reading all ideals from disk Sat Sep 11 19:13:39 2021 memory use: 4338.0 MB Sat Sep 11 19:13:42 2021 keeping 93479794 ideals with weight <= 200, target excess is 598792 Sat Sep 11 19:13:48 2021 commencing in-memory singleton removal Sat Sep 11 19:13:51 2021 begin with 116260853 relations and 93479794 unique ideals Sat Sep 11 19:14:19 2021 reduce to 86610315 relations and 61489789 ideals in 10 passes Sat Sep 11 19:14:19 2021 max relations containing the same ideal: 172 Sat Sep 11 19:14:36 2021 removing 7468928 relations and 5468928 ideals in 2000000 cliques Sat Sep 11 19:14:38 2021 commencing in-memory singleton removal Sat Sep 11 19:14:41 2021 begin with 79141387 relations and 61489789 unique ideals Sat Sep 11 19:14:58 2021 reduce to 78595662 relations and 55459272 ideals in 7 passes Sat Sep 11 19:14:58 2021 max relations containing the same ideal: 161 Sat Sep 11 19:15:13 2021 removing 6081411 relations and 4081411 ideals in 2000000 cliques Sat Sep 11 19:15:15 2021 commencing in-memory singleton removal Sat Sep 11 19:15:17 2021 begin with 72514251 relations and 55459272 unique ideals Sat Sep 11 19:15:33 2021 reduce to 72146307 relations and 51000291 ideals in 7 passes Sat Sep 11 19:15:33 2021 max relations containing the same ideal: 154 Sat Sep 11 19:15:47 2021 removing 5683691 relations and 3683691 ideals in 2000000 cliques Sat Sep 11 19:15:49 2021 commencing in-memory singleton removal Sat Sep 11 19:15:51 2021 begin with 66462616 relations and 51000291 unique ideals Sat Sep 11 19:16:03 2021 reduce to 66141509 relations and 46987051 ideals in 6 passes Sat Sep 11 19:16:03 2021 max relations containing the same ideal: 147 Sat Sep 11 19:16:17 2021 removing 5472494 relations and 3472494 ideals in 2000000 cliques Sat Sep 11 19:16:18 2021 commencing in-memory singleton removal Sat Sep 11 19:16:20 2021 begin with 60669015 relations and 46987051 unique ideals Sat Sep 11 19:16:33 2021 reduce to 60365055 relations and 43202253 ideals in 7 passes Sat Sep 11 19:16:33 2021 max relations containing the same ideal: 138 Sat Sep 11 19:16:45 2021 removing 5340549 relations and 3340549 ideals in 2000000 cliques Sat Sep 11 19:16:47 2021 commencing in-memory singleton removal Sat Sep 11 19:16:48 2021 begin with 55024506 relations and 43202253 unique ideals Sat Sep 11 19:16:58 2021 reduce to 54725443 relations and 39553773 ideals in 6 passes Sat Sep 11 19:16:58 2021 max relations containing the same ideal: 133 Sat Sep 11 19:17:10 2021 removing 5251131 relations and 3251131 ideals in 2000000 cliques Sat Sep 11 19:17:11 2021 commencing in-memory singleton removal Sat Sep 11 19:17:12 2021 begin with 49474312 relations and 39553773 unique ideals Sat Sep 11 19:17:23 2021 reduce to 49171127 relations and 35989811 ideals in 7 passes Sat Sep 11 19:17:23 2021 max relations containing the same ideal: 121 Sat Sep 11 19:17:33 2021 removing 5184688 relations and 3184688 ideals in 2000000 cliques Sat Sep 11 19:17:35 2021 commencing in-memory singleton removal Sat Sep 11 19:17:36 2021 begin with 43986439 relations and 35989811 unique ideals Sat Sep 11 19:17:45 2021 reduce to 43667569 relations and 32475125 ideals in 7 passes Sat Sep 11 19:17:45 2021 max relations containing the same ideal: 112 Sat Sep 11 19:17:54 2021 removing 5144777 relations and 3144777 ideals in 2000000 cliques Sat Sep 11 19:17:56 2021 commencing in-memory singleton removal Sat Sep 11 19:17:57 2021 begin with 38522792 relations and 32475125 unique ideals Sat Sep 11 19:18:04 2021 reduce to 38182969 relations and 28977167 ideals in 6 passes Sat Sep 11 19:18:04 2021 max relations containing the same ideal: 103 Sat Sep 11 19:18:12 2021 removing 5120073 relations and 3120073 ideals in 2000000 cliques Sat Sep 11 19:18:13 2021 commencing in-memory singleton removal Sat Sep 11 19:18:14 2021 begin with 33062896 relations and 28977167 unique ideals Sat Sep 11 19:18:20 2021 reduce to 32685971 relations and 25464023 ideals in 6 passes Sat Sep 11 19:18:20 2021 max relations containing the same ideal: 91 Sat Sep 11 19:18:27 2021 removing 5102504 relations and 3102504 ideals in 2000000 cliques Sat Sep 11 19:18:28 2021 commencing in-memory singleton removal Sat Sep 11 19:18:29 2021 begin with 27583467 relations and 25464023 unique ideals Sat Sep 11 19:18:34 2021 reduce to 27160175 relations and 21916771 ideals in 6 passes Sat Sep 11 19:18:34 2021 max relations containing the same ideal: 83 Sat Sep 11 19:18:40 2021 removing 5095766 relations and 3095766 ideals in 2000000 cliques Sat Sep 11 19:18:41 2021 commencing in-memory singleton removal Sat Sep 11 19:18:42 2021 begin with 22064409 relations and 21916771 unique ideals Sat Sep 11 19:18:46 2021 reduce to 21567982 relations and 18294672 ideals in 7 passes Sat Sep 11 19:18:46 2021 max relations containing the same ideal: 70 Sat Sep 11 19:18:51 2021 removing 5085882 relations and 3085882 ideals in 2000000 cliques Sat Sep 11 19:18:52 2021 commencing in-memory singleton removal Sat Sep 11 19:18:52 2021 begin with 16482100 relations and 18294672 unique ideals Sat Sep 11 19:18:56 2021 reduce to 15861902 relations and 14541923 ideals in 8 passes Sat Sep 11 19:18:56 2021 max relations containing the same ideal: 61 Sat Sep 11 19:19:00 2021 removing 1902053 relations and 1276673 ideals in 625380 cliques Sat Sep 11 19:19:00 2021 commencing in-memory singleton removal Sat Sep 11 19:19:01 2021 begin with 13959849 relations and 14541923 unique ideals Sat Sep 11 19:19:03 2021 reduce to 13746504 relations and 13043396 ideals in 7 passes Sat Sep 11 19:19:03 2021 max relations containing the same ideal: 53 Sat Sep 11 19:19:07 2021 removing 49268 relations and 40759 ideals in 8509 cliques Sat Sep 11 19:19:07 2021 commencing in-memory singleton removal Sat Sep 11 19:19:07 2021 begin with 13697236 relations and 13043396 unique ideals Sat Sep 11 19:19:09 2021 reduce to 13697086 relations and 13002486 ideals in 4 passes Sat Sep 11 19:19:09 2021 max relations containing the same ideal: 53 Sat Sep 11 19:19:10 2021 relations with 0 large ideals: 47044 Sat Sep 11 19:19:10 2021 relations with 1 large ideals: 16281 Sat Sep 11 19:19:10 2021 relations with 2 large ideals: 182107 Sat Sep 11 19:19:10 2021 relations with 3 large ideals: 912630 Sat Sep 11 19:19:10 2021 relations with 4 large ideals: 2379797 Sat Sep 11 19:19:10 2021 relations with 5 large ideals: 3601938 Sat Sep 11 19:19:10 2021 relations with 6 large ideals: 3772250 Sat Sep 11 19:19:10 2021 relations with 7+ large ideals: 2785039 Sat Sep 11 19:19:10 2021 commencing 2-way merge Sat Sep 11 19:19:15 2021 reduce to 9577601 relation sets and 8883001 unique ideals Sat Sep 11 19:19:15 2021 commencing full merge Sat Sep 11 19:21:21 2021 memory use: 1147.1 MB Sat Sep 11 19:21:22 2021 found 4286053 cycles, need 4249201 Sat Sep 11 19:21:23 2021 weight of 4249201 cycles is about 510002723 (120.02/cycle) Sat Sep 11 19:21:23 2021 distribution of cycle lengths: Sat Sep 11 19:21:23 2021 1 relations: 118737 Sat Sep 11 19:21:23 2021 2 relations: 188524 Sat Sep 11 19:21:23 2021 3 relations: 253829 Sat Sep 11 19:21:23 2021 4 relations: 286021 Sat Sep 11 19:21:23 2021 5 relations: 309367 Sat Sep 11 19:21:23 2021 6 relations: 316035 Sat Sep 11 19:21:23 2021 7 relations: 316433 Sat Sep 11 19:21:23 2021 8 relations: 306030 Sat Sep 11 19:21:23 2021 9 relations: 290333 Sat Sep 11 19:21:23 2021 10+ relations: 1863892 Sat Sep 11 19:21:23 2021 heaviest cycle: 28 relations Sat Sep 11 19:21:24 2021 commencing cycle optimization Sat Sep 11 19:21:29 2021 start with 40247364 relations Sat Sep 11 19:22:30 2021 pruned 2317106 relations Sat Sep 11 19:22:30 2021 memory use: 980.9 MB Sat Sep 11 19:22:30 2021 distribution of cycle lengths: Sat Sep 11 19:22:30 2021 1 relations: 118737 Sat Sep 11 19:22:30 2021 2 relations: 193577 Sat Sep 11 19:22:30 2021 3 relations: 265887 Sat Sep 11 19:22:30 2021 4 relations: 301232 Sat Sep 11 19:22:30 2021 5 relations: 329298 Sat Sep 11 19:22:30 2021 6 relations: 337890 Sat Sep 11 19:22:30 2021 7 relations: 339696 Sat Sep 11 19:22:30 2021 8 relations: 327424 Sat Sep 11 19:22:30 2021 9 relations: 309746 Sat Sep 11 19:22:30 2021 10+ relations: 1725714 Sat Sep 11 19:22:30 2021 heaviest cycle: 28 relations Sat Sep 11 19:22:34 2021 RelProcTime: 1934 Sat Sep 11 19:22:34 2021 elapsed time 00:32:15 Sat Sep 11 19:23:14 2021 Sat Sep 11 19:23:14 2021 Sat Sep 11 19:23:14 2021 Msieve v. 1.54 (SVN unknown) Sat Sep 11 19:23:14 2021 random seeds: 23bc4cb3 c24b27e6 Sat Sep 11 19:23:14 2021 factoring 3028687701294575391243396715892352149510655559615211668781544762030778575659381281468549475252613397084823364576760485594199762982666752881446332159891482705400953843418199678107262309624935600282008778238224361 (211 digits) Sat Sep 11 19:23:15 2021 no P-1/P+1/ECM available, skipping Sat Sep 11 19:23:15 2021 commencing number field sieve (211-digit input) Sat Sep 11 19:23:15 2021 R0: 1323061160338989876063019332640553314372242002 Sat Sep 11 19:23:15 2021 R1: -36373907685853466410249 Sat Sep 11 19:23:15 2021 A0: 1 Sat Sep 11 19:23:15 2021 A1: 3 Sat Sep 11 19:23:15 2021 A2: -3 Sat Sep 11 19:23:15 2021 A3: -4 Sat Sep 11 19:23:15 2021 A4: 1 Sat Sep 11 19:23:15 2021 A5: 1 Sat Sep 11 19:23:15 2021 skew 1.00, size 2.317e-15, alpha 2.379, combined = 1.631e-12 rroots = 5 Sat Sep 11 19:23:15 2021 Sat Sep 11 19:23:15 2021 commencing linear algebra Sat Sep 11 19:23:15 2021 using VBITS=256 Sat Sep 11 19:23:15 2021 read 4249201 cycles Sat Sep 11 19:23:20 2021 cycles contain 13392957 unique relations Sat Sep 11 19:25:18 2021 read 13392957 relations Sat Sep 11 19:25:32 2021 using 20 quadratic characters above 4294917295 Sat Sep 11 19:26:08 2021 building initial matrix Sat Sep 11 19:27:46 2021 memory use: 1662.5 MB Sat Sep 11 19:27:47 2021 read 4249201 cycles Sat Sep 11 19:27:47 2021 matrix is 4249024 x 4249201 (1973.5 MB) with weight 562989587 (132.49/col) Sat Sep 11 19:27:47 2021 sparse part has weight 470605387 (110.75/col) Sat Sep 11 19:28:12 2021 filtering completed in 2 passes Sat Sep 11 19:28:13 2021 matrix is 4248905 x 4249066 (1973.5 MB) with weight 562984793 (132.50/col) Sat Sep 11 19:28:13 2021 sparse part has weight 470603361 (110.75/col) Sat Sep 11 19:28:19 2021 matrix starts at (0, 0) Sat Sep 11 19:28:20 2021 matrix is 4248905 x 4249066 (1973.5 MB) with weight 562984793 (132.50/col) Sat Sep 11 19:28:20 2021 sparse part has weight 470603361 (110.75/col) Sat Sep 11 19:28:20 2021 saving the first 240 matrix rows for later Sat Sep 11 19:28:20 2021 matrix includes 256 packed rows Sat Sep 11 19:28:21 2021 matrix is 4248665 x 4249066 (1798.4 MB) with weight 427295237 (100.56/col) Sat Sep 11 19:28:21 2021 sparse part has weight 403442069 (94.95/col) Sat Sep 11 19:28:22 2021 using GPU 1 (Tesla V100-PCIE-32GB) Sat Sep 11 19:28:22 2021 selected card has CUDA arch 7.0 Sat Sep 11 19:28:36 2021 commencing Lanczos iteration Sat Sep 11 19:28:36 2021 memory use: 4147.8 MB Sat Sep 11 19:28:37 2021 linear algebra at 0.0%, ETA 0h46m Sat Sep 11 19:28:37 2021 checkpointing every 7350000 dimensions Sat Sep 11 20:10:03 2021 lanczos halted after 16648 iterations (dim = 4248663) Sat Sep 11 20:10:15 2021 recovered 34 nontrivial dependencies Sat Sep 11 20:10:16 2021 BLanczosTime: 2821 Sat Sep 11 20:19:37 2021 Sat Sep 11 20:19:37 2021 Sat Sep 11 20:19:37 2021 Msieve v. 1.54 (SVN unknown) Sat Sep 11 20:19:37 2021 random seeds: c4c7696c a56621dc Sat Sep 11 20:19:37 2021 factoring 3028687701294575391243396715892352149510655559615211668781544762030778575659381281468549475252613397084823364576760485594199762982666752881446332159891482705400953843418199678107262309624935600282008778238224361 (211 digits) Sat Sep 11 20:19:37 2021 no P-1/P+1/ECM available, skipping Sat Sep 11 20:19:37 2021 commencing number field sieve (211-digit input) Sat Sep 11 20:19:37 2021 R0: 1323061160338989876063019332640553314372242002 Sat Sep 11 20:19:37 2021 R1: -36373907685853466410249 Sat Sep 11 20:19:37 2021 A0: 1 Sat Sep 11 20:19:37 2021 A1: 3 Sat Sep 11 20:19:37 2021 A2: -3 Sat Sep 11 20:19:37 2021 A3: -4 Sat Sep 11 20:19:37 2021 A4: 1 Sat Sep 11 20:19:37 2021 A5: 1 Sat Sep 11 20:19:37 2021 skew 1.00, size 2.317e-15, alpha 2.379, combined = 1.631e-12 rroots = 5 Sat Sep 11 20:19:37 2021 Sat Sep 11 20:19:37 2021 commencing square root phase Sat Sep 11 20:19:37 2021 reading relations for dependency 1 Sat Sep 11 20:19:38 2021 read 2126007 cycles Sat Sep 11 20:19:40 2021 cycles contain 6697922 unique relations Sat Sep 11 20:21:18 2021 read 6697922 relations Sat Sep 11 20:21:34 2021 multiplying 6697922 relations Sat Sep 11 20:23:17 2021 multiply complete, coefficients have about 165.00 million bits Sat Sep 11 20:23:17 2021 initial square root is modulo 834341 Sat Sep 11 20:25:23 2021 GCD is 1, no factor found Sat Sep 11 20:25:23 2021 reading relations for dependency 2 Sat Sep 11 20:25:23 2021 read 2124526 cycles Sat Sep 11 20:25:25 2021 cycles contain 6697378 unique relations Sat Sep 11 20:27:03 2021 read 6697378 relations Sat Sep 11 20:27:19 2021 multiplying 6697378 relations Sat Sep 11 20:29:01 2021 multiply complete, coefficients have about 164.98 million bits Sat Sep 11 20:29:01 2021 initial square root is modulo 833563 Sat Sep 11 20:31:06 2021 sqrtTime: 689 Sat Sep 11 20:31:06 2021 p75 factor: 468132191463337357536680594369994295776757021238582307548259443932971978187 Sat Sep 11 20:31:06 2021 p136 factor: 6469727475538867522025970866164205678466974659802559346539097295663006601913222102507214107583444123930940835434723777219251349449845403 Sat Sep 11 20:31:06 2021 elapsed time 00:11:29