Fri Mar 5 10:36:49 2021 Fri Mar 5 10:36:49 2021 Msieve v. 1.54 (SVN 1025) Fri Mar 5 10:36:49 2021 random seeds: 5d2a4285 d9cc8f38 Fri Mar 5 10:36:49 2021 factoring 155442370874090938000732401264114048163669159214280995160494205265570732508855913711956353634900570018429512522092248298859951686669729140442850468095412008519873870775810924909837291253986287962707516497119 (207 digits) Fri Mar 5 10:36:50 2021 searching for 15-digit factors Fri Mar 5 10:36:50 2021 commencing number field sieve (207-digit input) Fri Mar 5 10:36:50 2021 R0: 464349254555503089022765048472067530 Fri Mar 5 10:36:50 2021 R1: -681431768085039523 Fri Mar 5 10:36:50 2021 A0: -1 Fri Mar 5 10:36:50 2021 A1: 3 Fri Mar 5 10:36:50 2021 A2: 6 Fri Mar 5 10:36:50 2021 A3: -4 Fri Mar 5 10:36:50 2021 A4: -5 Fri Mar 5 10:36:50 2021 A5: 1 Fri Mar 5 10:36:50 2021 A6: 1 Fri Mar 5 10:36:50 2021 skew 1.00, size 1.453e-10, alpha 3.126, combined = 4.282e-12 rroots = 6 Fri Mar 5 10:36:50 2021 Fri Mar 5 10:36:50 2021 commencing relation filtering Fri Mar 5 10:36:50 2021 setting target matrix density to 112.0 Fri Mar 5 10:36:50 2021 estimated available RAM is 15984.6 MB Fri Mar 5 10:36:50 2021 commencing duplicate removal, pass 1 Fri Mar 5 10:42:12 2021 error -15 reading relation 50726867 Fri Mar 5 10:43:02 2021 skipped 1 relations with b > 2^32 Fri Mar 5 10:43:02 2021 skipped 2 relations with composite factors Fri Mar 5 10:43:02 2021 found 2732020 hash collisions in 56078153 relations Fri Mar 5 10:43:02 2021 commencing duplicate removal, pass 2 Fri Mar 5 10:43:12 2021 found 0 duplicates and 56078153 unique relations Fri Mar 5 10:43:12 2021 memory use: 189.2 MB Fri Mar 5 10:43:12 2021 reading ideals above 720000 Fri Mar 5 10:43:13 2021 commencing singleton removal, initial pass Fri Mar 5 10:48:38 2021 memory use: 1378.0 MB Fri Mar 5 10:48:38 2021 reading all ideals from disk Fri Mar 5 10:48:39 2021 memory use: 1995.1 MB Fri Mar 5 10:48:43 2021 keeping 48260606 ideals with weight <= 200, target excess is 290885 Fri Mar 5 10:48:47 2021 commencing in-memory singleton removal Fri Mar 5 10:48:51 2021 begin with 56078153 relations and 48260606 unique ideals Fri Mar 5 10:49:26 2021 reduce to 40065997 relations and 30815107 ideals in 12 passes Fri Mar 5 10:49:26 2021 max relations containing the same ideal: 168 Fri Mar 5 10:49:38 2021 removing 4259412 relations and 3259412 ideals in 1000000 cliques Fri Mar 5 10:49:39 2021 commencing in-memory singleton removal Fri Mar 5 10:49:41 2021 begin with 35806585 relations and 30815107 unique ideals Fri Mar 5 10:50:01 2021 reduce to 35342883 relations and 27077573 ideals in 8 passes Fri Mar 5 10:50:01 2021 max relations containing the same ideal: 155 Fri Mar 5 10:50:13 2021 removing 3462583 relations and 2462583 ideals in 1000000 cliques Fri Mar 5 10:50:14 2021 commencing in-memory singleton removal Fri Mar 5 10:50:16 2021 begin with 31880300 relations and 27077573 unique ideals Fri Mar 5 10:50:33 2021 reduce to 31601129 relations and 24327647 ideals in 9 passes Fri Mar 5 10:50:33 2021 max relations containing the same ideal: 147 Fri Mar 5 10:50:46 2021 removing 3146166 relations and 2146166 ideals in 1000000 cliques Fri Mar 5 10:50:47 2021 commencing in-memory singleton removal Fri Mar 5 10:50:49 2021 begin with 28454963 relations and 24327647 unique ideals Fri Mar 5 10:51:03 2021 reduce to 28210946 relations and 21930015 ideals in 6 passes Fri Mar 5 10:51:03 2021 max relations containing the same ideal: 135 Fri Mar 5 10:51:14 2021 removing 3008992 relations and 2008992 ideals in 1000000 cliques Fri Mar 5 10:51:15 2021 commencing in-memory singleton removal Fri Mar 5 10:51:17 2021 begin with 25201954 relations and 21930015 unique ideals Fri Mar 5 10:51:30 2021 reduce to 24966860 relations and 19678351 ideals in 7 passes Fri Mar 5 10:51:30 2021 max relations containing the same ideal: 122 Fri Mar 5 10:51:40 2021 removing 2931095 relations and 1931095 ideals in 1000000 cliques Fri Mar 5 10:51:41 2021 commencing in-memory singleton removal Fri Mar 5 10:51:43 2021 begin with 22035765 relations and 19678351 unique ideals Fri Mar 5 10:51:54 2021 reduce to 21796186 relations and 17499191 ideals in 6 passes Fri Mar 5 10:51:54 2021 max relations containing the same ideal: 117 Fri Mar 5 10:52:04 2021 removing 2887195 relations and 1887195 ideals in 1000000 cliques Fri Mar 5 10:52:05 2021 commencing in-memory singleton removal Fri Mar 5 10:52:06 2021 begin with 18908991 relations and 17499191 unique ideals Fri Mar 5 10:52:17 2021 reduce to 18654291 relations and 15347081 ideals in 7 passes Fri Mar 5 10:52:17 2021 max relations containing the same ideal: 105 Fri Mar 5 10:52:25 2021 removing 2863117 relations and 1863117 ideals in 1000000 cliques Fri Mar 5 10:52:27 2021 commencing in-memory singleton removal Fri Mar 5 10:52:28 2021 begin with 15791174 relations and 15347081 unique ideals Fri Mar 5 10:52:36 2021 reduce to 15510492 relations and 13190467 ideals in 7 passes Fri Mar 5 10:52:36 2021 max relations containing the same ideal: 90 Fri Mar 5 10:52:42 2021 removing 2850439 relations and 1850439 ideals in 1000000 cliques Fri Mar 5 10:52:43 2021 commencing in-memory singleton removal Fri Mar 5 10:52:44 2021 begin with 12660053 relations and 13190467 unique ideals Fri Mar 5 10:52:52 2021 reduce to 12335863 relations and 10997969 ideals in 8 passes Fri Mar 5 10:52:52 2021 max relations containing the same ideal: 79 Fri Mar 5 10:52:57 2021 removing 2840928 relations and 1840928 ideals in 1000000 cliques Fri Mar 5 10:52:58 2021 commencing in-memory singleton removal Fri Mar 5 10:52:58 2021 begin with 9494935 relations and 10997969 unique ideals Fri Mar 5 10:53:04 2021 reduce to 9094991 relations and 8728849 ideals in 7 passes Fri Mar 5 10:53:04 2021 max relations containing the same ideal: 64 Fri Mar 5 10:53:08 2021 removing 160210 relations and 131495 ideals in 28715 cliques Fri Mar 5 10:53:09 2021 commencing in-memory singleton removal Fri Mar 5 10:53:09 2021 begin with 8934781 relations and 8728849 unique ideals Fri Mar 5 10:53:12 2021 reduce to 8932333 relations and 8594894 ideals in 5 passes Fri Mar 5 10:53:12 2021 max relations containing the same ideal: 62 Fri Mar 5 10:53:14 2021 relations with 0 large ideals: 21349 Fri Mar 5 10:53:14 2021 relations with 1 large ideals: 7415 Fri Mar 5 10:53:14 2021 relations with 2 large ideals: 61413 Fri Mar 5 10:53:14 2021 relations with 3 large ideals: 361603 Fri Mar 5 10:53:14 2021 relations with 4 large ideals: 1132986 Fri Mar 5 10:53:14 2021 relations with 5 large ideals: 2077026 Fri Mar 5 10:53:14 2021 relations with 6 large ideals: 2346266 Fri Mar 5 10:53:14 2021 relations with 7+ large ideals: 2924275 Fri Mar 5 10:53:14 2021 commencing 2-way merge Fri Mar 5 10:53:19 2021 reduce to 6015777 relation sets and 5678338 unique ideals Fri Mar 5 10:53:19 2021 commencing full merge Fri Mar 5 10:55:48 2021 memory use: 795.4 MB Fri Mar 5 10:55:49 2021 found 2743521 cycles, need 2728538 Fri Mar 5 10:55:50 2021 weight of 2728538 cycles is about 306177358 (112.21/cycle) Fri Mar 5 10:55:50 2021 distribution of cycle lengths: Fri Mar 5 10:55:50 2021 1 relations: 114197 Fri Mar 5 10:55:50 2021 2 relations: 154023 Fri Mar 5 10:55:50 2021 3 relations: 186802 Fri Mar 5 10:55:50 2021 4 relations: 199380 Fri Mar 5 10:55:50 2021 5 relations: 206252 Fri Mar 5 10:55:50 2021 6 relations: 207546 Fri Mar 5 10:55:50 2021 7 relations: 202569 Fri Mar 5 10:55:50 2021 8 relations: 192468 Fri Mar 5 10:55:50 2021 9 relations: 178924 Fri Mar 5 10:55:50 2021 10+ relations: 1086377 Fri Mar 5 10:55:50 2021 heaviest cycle: 28 relations Fri Mar 5 10:55:50 2021 commencing cycle optimization Fri Mar 5 10:55:56 2021 start with 24401176 relations Fri Mar 5 10:56:55 2021 pruned 1248208 relations Fri Mar 5 10:56:55 2021 memory use: 620.8 MB Fri Mar 5 10:56:55 2021 distribution of cycle lengths: Fri Mar 5 10:56:55 2021 1 relations: 114197 Fri Mar 5 10:56:55 2021 2 relations: 157744 Fri Mar 5 10:56:55 2021 3 relations: 194612 Fri Mar 5 10:56:55 2021 4 relations: 208332 Fri Mar 5 10:56:55 2021 5 relations: 218240 Fri Mar 5 10:56:55 2021 6 relations: 219341 Fri Mar 5 10:56:55 2021 7 relations: 214715 Fri Mar 5 10:56:55 2021 8 relations: 203311 Fri Mar 5 10:56:55 2021 9 relations: 188333 Fri Mar 5 10:56:55 2021 10+ relations: 1009713 Fri Mar 5 10:56:55 2021 heaviest cycle: 28 relations Fri Mar 5 10:57:01 2021 RelProcTime: 1211 Fri Mar 5 10:57:01 2021 Fri Mar 5 10:57:01 2021 commencing linear algebra Fri Mar 5 10:57:01 2021 read 2728538 cycles Fri Mar 5 10:57:07 2021 cycles contain 8765679 unique relations Fri Mar 5 10:58:05 2021 read 8765679 relations Fri Mar 5 10:58:18 2021 using 20 quadratic characters above 4294917295 Fri Mar 5 10:58:58 2021 building initial matrix Fri Mar 5 11:00:46 2021 memory use: 1084.9 MB Fri Mar 5 11:00:48 2021 read 2728538 cycles Fri Mar 5 11:00:48 2021 matrix is 2728361 x 2728538 (1188.1 MB) with weight 337329278 (123.63/col) Fri Mar 5 11:00:48 2021 sparse part has weight 284173606 (104.15/col) Fri Mar 5 11:01:22 2021 filtering completed in 2 passes Fri Mar 5 11:01:22 2021 matrix is 2728292 x 2728469 (1188.1 MB) with weight 337326539 (123.63/col) Fri Mar 5 11:01:22 2021 sparse part has weight 284172290 (104.15/col) Fri Mar 5 11:01:31 2021 matrix starts at (0, 0) Fri Mar 5 11:01:31 2021 matrix is 2728292 x 2728469 (1188.1 MB) with weight 337326539 (123.63/col) Fri Mar 5 11:01:31 2021 sparse part has weight 284172290 (104.15/col) Fri Mar 5 11:01:31 2021 saving the first 48 matrix rows for later Fri Mar 5 11:01:32 2021 matrix includes 64 packed rows Fri Mar 5 11:01:32 2021 matrix is 2728244 x 2728469 (1138.3 MB) with weight 289667815 (106.16/col) Fri Mar 5 11:01:32 2021 sparse part has weight 271110327 (99.36/col) Fri Mar 5 11:01:32 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Fri Mar 5 11:01:43 2021 commencing Lanczos iteration (3 threads) Fri Mar 5 11:01:43 2021 memory use: 1079.2 MB Fri Mar 5 11:02:07 2021 linear algebra at 0.1%, ETA 11h26m Fri Mar 5 11:02:14 2021 checkpointing every 250000 dimensions Fri Mar 5 15:09:06 2021 lanczos halted after 43147 iterations (dim = 2728240) Fri Mar 5 15:09:09 2021 recovered 31 nontrivial dependencies Fri Mar 5 15:09:09 2021 BLanczosTime: 15128 Fri Mar 5 15:09:09 2021 Fri Mar 5 15:09:09 2021 commencing square root phase Fri Mar 5 15:09:09 2021 handling dependencies 1 to 64 Fri Mar 5 15:09:09 2021 reading relations for dependency 1 Fri Mar 5 15:09:09 2021 read 1363596 cycles Fri Mar 5 15:09:11 2021 cycles contain 4382396 unique relations Fri Mar 5 15:09:33 2021 read 4382396 relations Fri Mar 5 15:09:45 2021 multiplying 4382396 relations Fri Mar 5 15:11:32 2021 multiply complete, coefficients have about 103.58 million bits Fri Mar 5 15:11:32 2021 initial square root is modulo 27226271 Fri Mar 5 15:13:36 2021 sqrtTime: 267 Fri Mar 5 15:13:36 2021 p81 factor: 129466541192824060913584029125072424729830306672796185223198924083799455736924089 Fri Mar 5 15:13:36 2021 p127 factor: 1200637395901224854986646442396278401969092653658935851382255880268904330248086951003346284433169468774426532188220163597821271 Fri Mar 5 15:13:36 2021 elapsed time 04:36:47