Sat May 16 19:26:11 2020 Sat May 16 19:26:11 2020 Sat May 16 19:26:11 2020 Msieve v. 1.54 (SVN 1025) Sat May 16 19:26:11 2020 random seeds: ddd8c321 be88ac39 Sat May 16 19:26:11 2020 factoring 12217979810913129107446613665785386400072524716505529029273729809930116874341926089641673651433666126348509357752835013440139599456663698714649918334103665946056474170323555809437932963339646714293702027767 (206 digits) Sat May 16 19:26:12 2020 searching for 15-digit factors Sat May 16 19:26:12 2020 commencing number field sieve (206-digit input) Sat May 16 19:26:12 2020 R0: 42117974383768340415833307871690448961536 Sat May 16 19:26:12 2020 R1: 1 Sat May 16 19:26:12 2020 A0: 1 Sat May 16 19:26:12 2020 A1: 0 Sat May 16 19:26:12 2020 A2: 0 Sat May 16 19:26:12 2020 A3: 0 Sat May 16 19:26:12 2020 A4: 0 Sat May 16 19:26:12 2020 A5: 0 Sat May 16 19:26:12 2020 A6: 86 Sat May 16 19:26:12 2020 skew 0.48, size 2.852e-12, alpha 1.727, combined = 2.583e-13 rroots = 0 Sat May 16 19:26:12 2020 Sat May 16 19:26:12 2020 commencing relation filtering Sat May 16 19:26:12 2020 setting target matrix density to 124.0 Sat May 16 19:26:12 2020 estimated available RAM is 16007.4 MB Sat May 16 19:26:12 2020 commencing duplicate removal, pass 1 Sat May 16 19:39:38 2020 error -1 reading relation 120996746 Sat May 16 19:41:24 2020 error -5 reading relation 136731304 Sat May 16 19:46:13 2020 error -15 reading relation 179966433 Sat May 16 19:46:39 2020 error -15 reading relation 183870096 Sat May 16 19:47:15 2020 error -11 reading relation 189304916 Sat May 16 19:48:57 2020 skipped 309 relations with b > 2^32 Sat May 16 19:48:57 2020 skipped 2 relations with composite factors Sat May 16 19:48:57 2020 found 9166331 hash collisions in 204640484 relations Sat May 16 19:49:11 2020 added 1218886 free relations Sat May 16 19:49:11 2020 commencing duplicate removal, pass 2 Sat May 16 19:50:10 2020 found 0 duplicates and 205859370 unique relations Sat May 16 19:50:10 2020 memory use: 522.4 MB Sat May 16 19:50:10 2020 reading ideals above 179765248 Sat May 16 19:50:10 2020 commencing singleton removal, initial pass Sat May 16 20:07:19 2020 memory use: 3012.0 MB Sat May 16 20:07:19 2020 reading all ideals from disk Sat May 16 20:07:29 2020 memory use: 3569.2 MB Sat May 16 20:07:36 2020 commencing in-memory singleton removal Sat May 16 20:07:42 2020 begin with 205859370 relations and 162785214 unique ideals Sat May 16 20:09:03 2020 reduce to 145983412 relations and 97749221 ideals in 13 passes Sat May 16 20:09:03 2020 max relations containing the same ideal: 37 Sat May 16 20:09:10 2020 reading ideals above 720000 Sat May 16 20:09:10 2020 commencing singleton removal, initial pass Sat May 16 20:24:48 2020 memory use: 3012.0 MB Sat May 16 20:24:48 2020 reading all ideals from disk Sat May 16 20:25:04 2020 memory use: 5799.0 MB Sat May 16 20:25:19 2020 keeping 117056776 ideals with weight <= 200, target excess is 724665 Sat May 16 20:25:36 2020 commencing in-memory singleton removal Sat May 16 20:25:48 2020 begin with 145983412 relations and 117056776 unique ideals Sat May 16 20:27:17 2020 reduce to 145981416 relations and 117054780 ideals in 7 passes Sat May 16 20:27:17 2020 max relations containing the same ideal: 200 Sat May 16 20:28:13 2020 removing 10537337 relations and 8537338 ideals in 2000000 cliques Sat May 16 20:28:16 2020 commencing in-memory singleton removal Sat May 16 20:28:28 2020 begin with 135444079 relations and 117054780 unique ideals Sat May 16 20:30:02 2020 reduce to 134816280 relations and 107878292 ideals in 8 passes Sat May 16 20:30:02 2020 max relations containing the same ideal: 197 Sat May 16 20:30:55 2020 removing 8104582 relations and 6104582 ideals in 2000000 cliques Sat May 16 20:30:58 2020 commencing in-memory singleton removal Sat May 16 20:31:08 2020 begin with 126711698 relations and 107878292 unique ideals Sat May 16 20:32:23 2020 reduce to 126293112 relations and 101348539 ideals in 7 passes Sat May 16 20:32:23 2020 max relations containing the same ideal: 193 Sat May 16 20:33:12 2020 removing 7387950 relations and 5387950 ideals in 2000000 cliques Sat May 16 20:33:15 2020 commencing in-memory singleton removal Sat May 16 20:33:24 2020 begin with 118905162 relations and 101348539 unique ideals Sat May 16 20:34:34 2020 reduce to 118535693 relations and 95585381 ideals in 7 passes Sat May 16 20:34:34 2020 max relations containing the same ideal: 187 Sat May 16 20:35:19 2020 removing 7024801 relations and 5024801 ideals in 2000000 cliques Sat May 16 20:35:22 2020 commencing in-memory singleton removal Sat May 16 20:35:31 2020 begin with 111510892 relations and 95585381 unique ideals Sat May 16 20:36:37 2020 reduce to 111164026 relations and 90208128 ideals in 7 passes Sat May 16 20:36:37 2020 max relations containing the same ideal: 179 Sat May 16 20:37:20 2020 removing 6802714 relations and 4802714 ideals in 2000000 cliques Sat May 16 20:37:23 2020 commencing in-memory singleton removal Sat May 16 20:37:31 2020 begin with 104361312 relations and 90208128 unique ideals Sat May 16 20:38:32 2020 reduce to 104023159 relations and 85061466 ideals in 7 passes Sat May 16 20:38:32 2020 max relations containing the same ideal: 171 Sat May 16 20:39:13 2020 removing 6654620 relations and 4654620 ideals in 2000000 cliques Sat May 16 20:39:15 2020 commencing in-memory singleton removal Sat May 16 20:39:23 2020 begin with 97368539 relations and 85061466 unique ideals Sat May 16 20:40:19 2020 reduce to 97031501 relations and 80063730 ideals in 7 passes Sat May 16 20:40:19 2020 max relations containing the same ideal: 166 Sat May 16 20:40:57 2020 removing 6563130 relations and 4563130 ideals in 2000000 cliques Sat May 16 20:40:59 2020 commencing in-memory singleton removal Sat May 16 20:41:06 2020 begin with 90468371 relations and 80063730 unique ideals Sat May 16 20:41:50 2020 reduce to 90124567 relations and 75150372 ideals in 6 passes Sat May 16 20:41:50 2020 max relations containing the same ideal: 159 Sat May 16 20:42:26 2020 removing 6492855 relations and 4492855 ideals in 2000000 cliques Sat May 16 20:42:29 2020 commencing in-memory singleton removal Sat May 16 20:42:35 2020 begin with 83631712 relations and 75150372 unique ideals Sat May 16 20:43:16 2020 reduce to 83275161 relations and 70293818 ideals in 6 passes Sat May 16 20:43:16 2020 max relations containing the same ideal: 152 Sat May 16 20:43:50 2020 removing 6455693 relations and 4455693 ideals in 2000000 cliques Sat May 16 20:43:52 2020 commencing in-memory singleton removal Sat May 16 20:43:58 2020 begin with 76819468 relations and 70293818 unique ideals Sat May 16 20:44:41 2020 reduce to 76445340 relations and 65456051 ideals in 7 passes Sat May 16 20:44:41 2020 max relations containing the same ideal: 141 Sat May 16 20:45:11 2020 removing 6439386 relations and 4439386 ideals in 2000000 cliques Sat May 16 20:45:13 2020 commencing in-memory singleton removal Sat May 16 20:45:18 2020 begin with 70005954 relations and 65456051 unique ideals Sat May 16 20:45:57 2020 reduce to 69606984 relations and 60608543 ideals in 7 passes Sat May 16 20:45:57 2020 max relations containing the same ideal: 136 Sat May 16 20:46:25 2020 removing 6442454 relations and 4442454 ideals in 2000000 cliques Sat May 16 20:46:27 2020 commencing in-memory singleton removal Sat May 16 20:46:31 2020 begin with 63164530 relations and 60608543 unique ideals Sat May 16 20:47:06 2020 reduce to 62732873 relations and 55723768 ideals in 7 passes Sat May 16 20:47:06 2020 max relations containing the same ideal: 124 Sat May 16 20:47:31 2020 removing 6462261 relations and 4462261 ideals in 2000000 cliques Sat May 16 20:47:33 2020 commencing in-memory singleton removal Sat May 16 20:47:37 2020 begin with 56270612 relations and 55723768 unique ideals Sat May 16 20:48:08 2020 reduce to 55790169 relations and 50767747 ideals in 7 passes Sat May 16 20:48:08 2020 max relations containing the same ideal: 114 Sat May 16 20:48:30 2020 removing 6501123 relations and 4501123 ideals in 2000000 cliques Sat May 16 20:48:32 2020 commencing in-memory singleton removal Sat May 16 20:48:35 2020 begin with 49289046 relations and 50767747 unique ideals Sat May 16 20:49:02 2020 reduce to 48739224 relations and 45700129 ideals in 7 passes Sat May 16 20:49:02 2020 max relations containing the same ideal: 106 Sat May 16 20:49:22 2020 removing 6571670 relations and 4571670 ideals in 2000000 cliques Sat May 16 20:49:24 2020 commencing in-memory singleton removal Sat May 16 20:49:27 2020 begin with 42167554 relations and 45700129 unique ideals Sat May 16 20:49:55 2020 reduce to 41508708 relations and 40446662 ideals in 9 passes Sat May 16 20:49:55 2020 max relations containing the same ideal: 91 Sat May 16 20:50:12 2020 removing 1117175 relations and 895741 ideals in 221434 cliques Sat May 16 20:50:14 2020 commencing in-memory singleton removal Sat May 16 20:50:16 2020 begin with 40391533 relations and 40446662 unique ideals Sat May 16 20:50:32 2020 reduce to 40370042 relations and 39529324 ideals in 5 passes Sat May 16 20:50:32 2020 max relations containing the same ideal: 89 Sat May 16 20:50:54 2020 relations with 0 large ideals: 27771 Sat May 16 20:50:54 2020 relations with 1 large ideals: 9526 Sat May 16 20:50:54 2020 relations with 2 large ideals: 139616 Sat May 16 20:50:54 2020 relations with 3 large ideals: 950234 Sat May 16 20:50:54 2020 relations with 4 large ideals: 3501261 Sat May 16 20:50:54 2020 relations with 5 large ideals: 7736470 Sat May 16 20:50:54 2020 relations with 6 large ideals: 10708536 Sat May 16 20:50:54 2020 relations with 7+ large ideals: 17296628 Sat May 16 20:50:54 2020 commencing 2-way merge Sat May 16 20:51:16 2020 reduce to 26992421 relation sets and 26151703 unique ideals Sat May 16 20:51:16 2020 commencing full merge Sat May 16 21:01:29 2020 memory use: 3431.9 MB Sat May 16 21:01:31 2020 found 11904038 cycles, need 11899903 Sat May 16 21:01:34 2020 weight of 11899903 cycles is about 1475637345 (124.00/cycle) Sat May 16 21:01:34 2020 distribution of cycle lengths: Sat May 16 21:01:34 2020 1 relations: 479719 Sat May 16 21:01:34 2020 2 relations: 680322 Sat May 16 21:01:34 2020 3 relations: 797594 Sat May 16 21:01:34 2020 4 relations: 828017 Sat May 16 21:01:34 2020 5 relations: 846573 Sat May 16 21:01:34 2020 6 relations: 842686 Sat May 16 21:01:34 2020 7 relations: 828407 Sat May 16 21:01:34 2020 8 relations: 795495 Sat May 16 21:01:34 2020 9 relations: 753678 Sat May 16 21:01:34 2020 10+ relations: 5047412 Sat May 16 21:01:34 2020 heaviest cycle: 28 relations Sat May 16 21:01:36 2020 commencing cycle optimization Sat May 16 21:01:59 2020 start with 110200537 relations Sat May 16 21:06:14 2020 pruned 5420304 relations Sat May 16 21:06:14 2020 memory use: 2811.9 MB Sat May 16 21:06:14 2020 distribution of cycle lengths: Sat May 16 21:06:14 2020 1 relations: 479719 Sat May 16 21:06:14 2020 2 relations: 697772 Sat May 16 21:06:14 2020 3 relations: 832541 Sat May 16 21:06:14 2020 4 relations: 863935 Sat May 16 21:06:14 2020 5 relations: 892025 Sat May 16 21:06:14 2020 6 relations: 885743 Sat May 16 21:06:14 2020 7 relations: 874968 Sat May 16 21:06:14 2020 8 relations: 836125 Sat May 16 21:06:14 2020 9 relations: 792157 Sat May 16 21:06:14 2020 10+ relations: 4744918 Sat May 16 21:06:14 2020 heaviest cycle: 28 relations Sat May 16 21:06:32 2020 RelProcTime: 6020 Sat May 16 21:06:32 2020 Sat May 16 21:06:32 2020 commencing linear algebra Sat May 16 21:06:37 2020 read 11899903 cycles Sat May 16 21:07:01 2020 cycles contain 39954541 unique relations Sat May 16 21:10:07 2020 read 39954541 relations Sat May 16 21:11:13 2020 using 20 quadratic characters above 4294917295 Sat May 16 21:13:43 2020 building initial matrix Sat May 16 21:21:06 2020 memory use: 5160.1 MB Sat May 16 21:21:11 2020 read 11899903 cycles Sat May 16 21:21:12 2020 matrix is 11899726 x 11899903 (5677.3 MB) with weight 1637470915 (137.60/col) Sat May 16 21:21:12 2020 sparse part has weight 1369277355 (115.07/col) Sat May 16 21:23:34 2020 filtering completed in 2 passes Sat May 16 21:23:36 2020 matrix is 11899664 x 11899841 (5677.3 MB) with weight 1637469047 (137.60/col) Sat May 16 21:23:36 2020 sparse part has weight 1369276919 (115.07/col) Sat May 16 21:24:15 2020 matrix starts at (0, 0) Sat May 16 21:24:16 2020 matrix is 11899664 x 11899841 (5677.3 MB) with weight 1637469047 (137.60/col) Sat May 16 21:24:16 2020 sparse part has weight 1369276919 (115.07/col) Sat May 16 21:24:16 2020 saving the first 48 matrix rows for later Sat May 16 21:24:18 2020 matrix includes 64 packed rows Sat May 16 21:24:20 2020 matrix is 11899616 x 11899841 (5479.5 MB) with weight 1403563753 (117.95/col) Sat May 16 21:24:20 2020 sparse part has weight 1317413407 (110.71/col) Sat May 16 21:24:20 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Sat May 16 21:25:01 2020 commencing Lanczos iteration (4 threads) Sat May 16 21:25:01 2020 memory use: 5247.3 MB Sat May 16 21:26:04 2020 linear algebra at 0.0%, ETA 130h27m Sat May 16 21:26:26 2020 checkpointing every 90000 dimensions Mon May 18 08:52:46 2020 lanczos halted after 51131 iterations (dim = 3233300) Mon May 18 08:52:46 2020 BLanczosTime: 128774 Mon May 18 08:52:46 2020 Mon May 18 08:52:46 2020 commencing square root phase Mon May 18 08:52:46 2020 handling dependencies 1 to 64 Mon May 18 08:52:46 2020 reading relations for dependency 1 Mon May 18 08:52:46 2020 error: read_cycles can't open dependency file Mon May 18 20:07:48 2020 Mon May 18 20:07:48 2020 Mon May 18 20:07:48 2020 Msieve v. 1.54 (SVN 1025) Mon May 18 20:07:48 2020 random seeds: 9132ef94 5d6c161e Mon May 18 20:07:48 2020 factoring 12217979810913129107446613665785386400072524716505529029273729809930116874341926089641673651433666126348509357752835013440139599456663698714649918334103665946056474170323555809437932963339646714293702027767 (206 digits) Mon May 18 20:07:48 2020 searching for 15-digit factors Mon May 18 20:07:49 2020 commencing number field sieve (206-digit input) Mon May 18 20:07:49 2020 R0: 42117974383768340415833307871690448961536 Mon May 18 20:07:49 2020 R1: 1 Mon May 18 20:07:49 2020 A0: 1 Mon May 18 20:07:49 2020 A1: 0 Mon May 18 20:07:49 2020 A2: 0 Mon May 18 20:07:49 2020 A3: 0 Mon May 18 20:07:49 2020 A4: 0 Mon May 18 20:07:49 2020 A5: 0 Mon May 18 20:07:49 2020 A6: 86 Mon May 18 20:07:49 2020 skew 0.48, size 2.852e-12, alpha 1.727, combined = 2.583e-13 rroots = 0 Mon May 18 20:07:49 2020 Mon May 18 20:07:49 2020 commencing linear algebra Mon May 18 20:07:49 2020 skipping matrix build Mon May 18 20:08:04 2020 matrix starts at (0, 0) Mon May 18 20:08:05 2020 matrix is 11899664 x 11899841 (5677.3 MB) with weight 1637469047 (137.60/col) Mon May 18 20:08:05 2020 sparse part has weight 1369276919 (115.07/col) Mon May 18 20:08:05 2020 saving the first 48 matrix rows for later Mon May 18 20:08:07 2020 matrix includes 64 packed rows Mon May 18 20:08:09 2020 matrix is 11899616 x 11899841 (5479.5 MB) with weight 1403563753 (117.95/col) Mon May 18 20:08:09 2020 sparse part has weight 1317413407 (110.71/col) Mon May 18 20:08:09 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Mon May 18 20:08:42 2020 commencing Lanczos iteration (4 threads) Mon May 18 20:08:42 2020 memory use: 5247.3 MB Mon May 18 20:08:43 2020 restarting at iteration 51131 (dim = 3233300) Mon May 18 20:09:09 2020 checkpointing every 110000 dimensions Mon May 18 20:09:36 2020 linear algebra at 27.2%, ETA 84h15m Fri May 22 00:31:11 2020 lanczos halted after 188181 iterations (dim = 11899612) Fri May 22 00:31:38 2020 recovered 34 nontrivial dependencies Fri May 22 00:31:39 2020 BLanczosTime: 275030 Fri May 22 00:31:39 2020 Fri May 22 00:31:39 2020 commencing square root phase Fri May 22 00:31:39 2020 handling dependencies 1 to 64 Fri May 22 00:31:39 2020 reading relations for dependency 1 Fri May 22 00:31:41 2020 read 5949745 cycles Fri May 22 00:31:54 2020 cycles contain 19979150 unique relations Fri May 22 00:34:16 2020 read 19979150 relations Fri May 22 00:35:49 2020 multiplying 19979150 relations Fri May 22 00:56:09 2020 multiply complete, coefficients have about 618.36 million bits Fri May 22 00:56:12 2020 initial square root is modulo 352939 Fri May 22 01:17:59 2020 sqrtTime: 2780 Fri May 22 01:17:59 2020 p67 factor: 3498385980439285674938991352134789039065450019967818392938619590627 Fri May 22 01:17:59 2020 p139 factor: 3492461917932492004964219154081556988382041275585474159380031598115827814731590030347315833666547000553686858162615527794259307791976249821 Fri May 22 01:17:59 2020 elapsed time 77:10:11