Tue Sep 01 17:42:16 2020 Tue Sep 01 17:42:16 2020 Tue Sep 01 17:42:16 2020 Msieve v. 1.54 (SVN Unversioned directory) Tue Sep 01 17:42:16 2020 random seeds: 8f6444d4 0893105d Tue Sep 01 17:42:16 2020 factoring 11769150012108927088278490896865575618096589079656049330120326356071604175471174720735318607517291345236310527068092366377574314842163324649314199863702439697301686973268133988037629770097153094702825100200719 (209 digits) Tue Sep 01 17:42:17 2020 searching for 15-digit factors Tue Sep 01 17:42:17 2020 commencing number field sieve (209-digit input) Tue Sep 01 17:42:17 2020 R0: 11526631770644020958165224897679068481 Tue Sep 01 17:42:17 2020 R1: -1 Tue Sep 01 17:42:17 2020 A0: -13121 Tue Sep 01 17:42:17 2020 A1: 0 Tue Sep 01 17:42:17 2020 A2: 0 Tue Sep 01 17:42:17 2020 A3: 0 Tue Sep 01 17:42:17 2020 A4: 0 Tue Sep 01 17:42:17 2020 A5: 0 Tue Sep 01 17:42:17 2020 A6: 1 Tue Sep 01 17:42:17 2020 skew 4.86, size 4.223e-011, alpha -0.500, combined = 1.816e-012 rroots = 2 Tue Sep 01 17:42:17 2020 Tue Sep 01 17:42:17 2020 commencing relation filtering Tue Sep 01 17:42:17 2020 setting target matrix density to 110.0 Tue Sep 01 17:42:17 2020 estimated available RAM is 32685.6 MB Tue Sep 01 17:42:17 2020 commencing duplicate removal, pass 1 Tue Sep 01 17:42:21 2020 error -9 reading relation 588367 Tue Sep 01 17:43:18 2020 error -9 reading relation 10004776 Tue Sep 01 17:43:19 2020 error -9 reading relation 10155725 Tue Sep 01 17:43:28 2020 error -9 reading relation 11511300 Tue Sep 01 17:43:58 2020 error -9 reading relation 16386761 Tue Sep 01 17:44:31 2020 error -9 reading relation 21873947 Tue Sep 01 17:44:43 2020 error -9 reading relation 23703052 Tue Sep 01 17:44:45 2020 error -1 reading relation 24149584 Tue Sep 01 17:44:56 2020 error -15 reading relation 25937180 Tue Sep 01 17:45:30 2020 error -9 reading relation 31454083 Tue Sep 01 17:45:41 2020 error -9 reading relation 33334523 Tue Sep 01 17:45:42 2020 error -1 reading relation 33348072 Tue Sep 01 17:45:42 2020 error -9 reading relation 33360963 Tue Sep 01 17:45:49 2020 error -5 reading relation 34521021 Tue Sep 01 17:45:50 2020 error -15 reading relation 34710666 Tue Sep 01 17:46:00 2020 error -15 reading relation 36329952 Tue Sep 01 17:46:02 2020 error -9 reading relation 36712900 Tue Sep 01 17:46:06 2020 error -9 reading relation 37405221 Tue Sep 01 17:46:16 2020 error -9 reading relation 39019715 Tue Sep 01 17:46:17 2020 error -15 reading relation 39111334 Tue Sep 01 17:46:33 2020 error -5 reading relation 41724232 Tue Sep 01 17:46:48 2020 error -15 reading relation 44218910 Tue Sep 01 17:46:50 2020 error -9 reading relation 44507410 Tue Sep 01 17:46:57 2020 error -9 reading relation 45526692 Tue Sep 01 17:46:58 2020 error -9 reading relation 45680823 Tue Sep 01 17:46:59 2020 error -9 reading relation 45830257 Tue Sep 01 17:47:14 2020 error -15 reading relation 48307344 Tue Sep 01 17:47:17 2020 error -9 reading relation 48817167 Tue Sep 01 17:47:17 2020 error -1 reading relation 48856193 Tue Sep 01 17:47:29 2020 error -15 reading relation 50809929 Tue Sep 01 17:47:34 2020 error -9 reading relation 51525250 Tue Sep 01 17:47:35 2020 error -15 reading relation 51803483 Tue Sep 01 17:47:38 2020 error -9 reading relation 52285008 Tue Sep 01 17:47:43 2020 error -9 reading relation 53117144 Tue Sep 01 17:47:48 2020 error -5 reading relation 53820823 Tue Sep 01 17:47:49 2020 error -9 reading relation 53966102 Tue Sep 01 17:47:51 2020 error -9 reading relation 54399870 Tue Sep 01 17:47:58 2020 error -9 reading relation 55476338 Tue Sep 01 17:48:04 2020 error -9 reading relation 56523786 Tue Sep 01 17:48:04 2020 error -5 reading relation 56541746 Tue Sep 01 17:48:06 2020 error -9 reading relation 56788919 Tue Sep 01 17:48:09 2020 error -1 reading relation 57288841 Tue Sep 01 17:48:09 2020 error -1 reading relation 57313102 Tue Sep 01 17:48:15 2020 error -15 reading relation 58311369 Tue Sep 01 17:48:16 2020 error -9 reading relation 58476918 Tue Sep 01 17:48:16 2020 error -9 reading relation 58484929 Tue Sep 01 17:48:21 2020 error -15 reading relation 59184951 Tue Sep 01 17:48:24 2020 error -9 reading relation 59768007 Tue Sep 01 17:48:25 2020 error -15 reading relation 59856830 Tue Sep 01 17:48:25 2020 error -9 reading relation 59877613 Tue Sep 01 17:48:25 2020 error -15 reading relation 59936126 Tue Sep 01 17:48:26 2020 error -9 reading relation 60088731 Tue Sep 01 17:48:40 2020 skipped 26 relations with composite factors Tue Sep 01 17:48:40 2020 found 12081271 hash collisions in 61410910 relations Tue Sep 01 17:48:48 2020 commencing duplicate removal, pass 2 Tue Sep 01 17:49:42 2020 found 11771091 duplicates and 49639819 unique relations Tue Sep 01 17:49:42 2020 memory use: 330.4 MB Tue Sep 01 17:49:42 2020 reading ideals above 720000 Tue Sep 01 17:49:42 2020 commencing singleton removal, initial pass Tue Sep 01 17:54:47 2020 memory use: 1378.0 MB Tue Sep 01 17:54:47 2020 reading all ideals from disk Tue Sep 01 17:54:47 2020 memory use: 1805.2 MB Tue Sep 01 17:54:50 2020 keeping 47747149 ideals with weight <= 200, target excess is 250727 Tue Sep 01 17:54:53 2020 commencing in-memory singleton removal Tue Sep 01 17:54:55 2020 begin with 49639819 relations and 47747149 unique ideals Tue Sep 01 17:55:18 2020 reduce to 32246955 relations and 28626337 ideals in 14 passes Tue Sep 01 17:55:18 2020 max relations containing the same ideal: 157 Tue Sep 01 17:55:28 2020 removing 2609575 relations and 2209575 ideals in 400000 cliques Tue Sep 01 17:55:28 2020 commencing in-memory singleton removal Tue Sep 01 17:55:30 2020 begin with 29637380 relations and 28626337 unique ideals Tue Sep 01 17:55:41 2020 reduce to 29420529 relations and 26195956 ideals in 8 passes Tue Sep 01 17:55:41 2020 max relations containing the same ideal: 149 Tue Sep 01 17:55:49 2020 removing 2008049 relations and 1608049 ideals in 400000 cliques Tue Sep 01 17:55:50 2020 commencing in-memory singleton removal Tue Sep 01 17:55:51 2020 begin with 27412480 relations and 26195956 unique ideals Tue Sep 01 17:56:01 2020 reduce to 27280532 relations and 24453894 ideals in 8 passes Tue Sep 01 17:56:01 2020 max relations containing the same ideal: 141 Tue Sep 01 17:56:09 2020 removing 1824670 relations and 1424670 ideals in 400000 cliques Tue Sep 01 17:56:10 2020 commencing in-memory singleton removal Tue Sep 01 17:56:11 2020 begin with 25455862 relations and 24453894 unique ideals Tue Sep 01 17:56:19 2020 reduce to 25342096 relations and 22913773 ideals in 7 passes Tue Sep 01 17:56:19 2020 max relations containing the same ideal: 132 Tue Sep 01 17:56:27 2020 removing 1736112 relations and 1336112 ideals in 400000 cliques Tue Sep 01 17:56:27 2020 commencing in-memory singleton removal Tue Sep 01 17:56:28 2020 begin with 23605984 relations and 22913773 unique ideals Tue Sep 01 17:56:38 2020 reduce to 23496996 relations and 21467070 ideals in 9 passes Tue Sep 01 17:56:38 2020 max relations containing the same ideal: 127 Tue Sep 01 17:56:45 2020 removing 1686325 relations and 1286325 ideals in 400000 cliques Tue Sep 01 17:56:45 2020 commencing in-memory singleton removal Tue Sep 01 17:56:46 2020 begin with 21810671 relations and 21467070 unique ideals Tue Sep 01 17:56:54 2020 reduce to 21701940 relations and 20070266 ideals in 8 passes Tue Sep 01 17:56:54 2020 max relations containing the same ideal: 123 Tue Sep 01 17:57:01 2020 removing 1656386 relations and 1256386 ideals in 400000 cliques Tue Sep 01 17:57:01 2020 commencing in-memory singleton removal Tue Sep 01 17:57:02 2020 begin with 20045554 relations and 20070266 unique ideals Tue Sep 01 17:57:08 2020 reduce to 19933801 relations and 18700305 ideals in 7 passes Tue Sep 01 17:57:08 2020 max relations containing the same ideal: 113 Tue Sep 01 17:57:14 2020 removing 1643853 relations and 1243853 ideals in 400000 cliques Tue Sep 01 17:57:14 2020 commencing in-memory singleton removal Tue Sep 01 17:57:15 2020 begin with 18289948 relations and 18700305 unique ideals Tue Sep 01 17:57:22 2020 reduce to 18170731 relations and 17335094 ideals in 8 passes Tue Sep 01 17:57:22 2020 max relations containing the same ideal: 106 Tue Sep 01 17:57:27 2020 removing 1642541 relations and 1242541 ideals in 400000 cliques Tue Sep 01 17:57:27 2020 commencing in-memory singleton removal Tue Sep 01 17:57:28 2020 begin with 16528190 relations and 17335094 unique ideals Tue Sep 01 17:57:34 2020 reduce to 16398071 relations and 15959943 ideals in 8 passes Tue Sep 01 17:57:34 2020 max relations containing the same ideal: 100 Tue Sep 01 17:57:39 2020 removing 744130 relations and 596846 ideals in 147284 cliques Tue Sep 01 17:57:39 2020 commencing in-memory singleton removal Tue Sep 01 17:57:40 2020 begin with 15653941 relations and 15959943 unique ideals Tue Sep 01 17:57:44 2020 reduce to 15627038 relations and 15335969 ideals in 7 passes Tue Sep 01 17:57:44 2020 max relations containing the same ideal: 94 Tue Sep 01 17:57:51 2020 relations with 0 large ideals: 9534 Tue Sep 01 17:57:51 2020 relations with 1 large ideals: 2332 Tue Sep 01 17:57:51 2020 relations with 2 large ideals: 32630 Tue Sep 01 17:57:51 2020 relations with 3 large ideals: 247068 Tue Sep 01 17:57:51 2020 relations with 4 large ideals: 1030164 Tue Sep 01 17:57:51 2020 relations with 5 large ideals: 2575274 Tue Sep 01 17:57:51 2020 relations with 6 large ideals: 4022959 Tue Sep 01 17:57:51 2020 relations with 7+ large ideals: 7707077 Tue Sep 01 17:57:51 2020 commencing 2-way merge Tue Sep 01 17:57:58 2020 reduce to 10207227 relation sets and 9916158 unique ideals Tue Sep 01 17:57:58 2020 commencing full merge Tue Sep 01 18:00:55 2020 memory use: 1290.5 MB Tue Sep 01 18:00:56 2020 found 4544468 cycles, need 4538358 Tue Sep 01 18:00:56 2020 weight of 4538358 cycles is about 499843655 (110.14/cycle) Tue Sep 01 18:00:56 2020 distribution of cycle lengths: Tue Sep 01 18:00:56 2020 1 relations: 314321 Tue Sep 01 18:00:56 2020 2 relations: 339556 Tue Sep 01 18:00:56 2020 3 relations: 353262 Tue Sep 01 18:00:56 2020 4 relations: 341837 Tue Sep 01 18:00:56 2020 5 relations: 332033 Tue Sep 01 18:00:56 2020 6 relations: 316240 Tue Sep 01 18:00:56 2020 7 relations: 299552 Tue Sep 01 18:00:56 2020 8 relations: 280193 Tue Sep 01 18:00:56 2020 9 relations: 261240 Tue Sep 01 18:00:56 2020 10+ relations: 1700124 Tue Sep 01 18:00:56 2020 heaviest cycle: 28 relations Tue Sep 01 18:00:58 2020 commencing cycle optimization Tue Sep 01 18:01:04 2020 start with 38595496 relations Tue Sep 01 18:02:17 2020 pruned 1644004 relations Tue Sep 01 18:02:17 2020 memory use: 1040.2 MB Tue Sep 01 18:02:17 2020 distribution of cycle lengths: Tue Sep 01 18:02:17 2020 1 relations: 314321 Tue Sep 01 18:02:17 2020 2 relations: 347668 Tue Sep 01 18:02:17 2020 3 relations: 367712 Tue Sep 01 18:02:17 2020 4 relations: 354885 Tue Sep 01 18:02:17 2020 5 relations: 347173 Tue Sep 01 18:02:17 2020 6 relations: 328942 Tue Sep 01 18:02:17 2020 7 relations: 312604 Tue Sep 01 18:02:17 2020 8 relations: 290359 Tue Sep 01 18:02:17 2020 9 relations: 270611 Tue Sep 01 18:02:17 2020 10+ relations: 1604083 Tue Sep 01 18:02:17 2020 heaviest cycle: 28 relations Tue Sep 01 18:02:21 2020 RelProcTime: 1204 Tue Sep 01 18:02:21 2020 Tue Sep 01 18:02:21 2020 commencing linear algebra Tue Sep 01 18:02:22 2020 read 4538358 cycles Tue Sep 01 18:02:28 2020 cycles contain 15453449 unique relations Tue Sep 01 18:03:59 2020 read 15453449 relations Tue Sep 01 18:04:22 2020 using 20 quadratic characters above 4294917295 Tue Sep 01 18:05:05 2020 building initial matrix Tue Sep 01 18:07:14 2020 memory use: 1927.9 MB Tue Sep 01 18:07:16 2020 read 4538358 cycles Tue Sep 01 18:07:17 2020 matrix is 4538181 x 4538358 (1970.9 MB) with weight 576323237 (126.99/col) Tue Sep 01 18:07:17 2020 sparse part has weight 466731357 (102.84/col) Tue Sep 01 18:07:47 2020 filtering completed in 2 passes Tue Sep 01 18:07:47 2020 matrix is 4538096 x 4538267 (1970.9 MB) with weight 576319665 (126.99/col) Tue Sep 01 18:07:47 2020 sparse part has weight 466730063 (102.84/col) Tue Sep 01 18:07:55 2020 matrix starts at (0, 0) Tue Sep 01 18:07:55 2020 matrix is 4538096 x 4538267 (1970.9 MB) with weight 576319665 (126.99/col) Tue Sep 01 18:07:55 2020 sparse part has weight 466730063 (102.84/col) Tue Sep 01 18:07:55 2020 saving the first 240 matrix rows for later Tue Sep 01 18:07:57 2020 matrix includes 256 packed rows Tue Sep 01 18:07:58 2020 matrix is 4537856 x 4538267 (1791.5 MB) with weight 421353433 (92.84/col) Tue Sep 01 18:07:58 2020 sparse part has weight 397010594 (87.48/col) Tue Sep 01 18:07:58 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB Tue Sep 01 18:08:09 2020 commencing Lanczos iteration (24 threads) Tue Sep 01 18:08:09 2020 memory use: 2516.7 MB Tue Sep 01 18:08:15 2020 linear algebra at 0.0%, ETA 4h 6m Tue Sep 01 18:08:16 2020 checkpointing every 1230000 dimensions Wed Sep 02 07:21:10 2020 Wed Sep 02 07:21:10 2020 Wed Sep 02 07:21:10 2020 Msieve v. 1.54 (SVN Unversioned directory) Wed Sep 02 07:21:10 2020 random seeds: be3e2b80 fc197065 Wed Sep 02 07:21:10 2020 factoring 11769150012108927088278490896865575618096589079656049330120326356071604175471174720735318607517291345236310527068092366377574314842163324649314199863702439697301686973268133988037629770097153094702825100200719 (209 digits) Wed Sep 02 07:21:10 2020 searching for 15-digit factors Wed Sep 02 07:21:11 2020 commencing number field sieve (209-digit input) Wed Sep 02 07:21:11 2020 R0: 11526631770644020958165224897679068481 Wed Sep 02 07:21:11 2020 R1: -1 Wed Sep 02 07:21:11 2020 A0: -13121 Wed Sep 02 07:21:11 2020 A1: 0 Wed Sep 02 07:21:11 2020 A2: 0 Wed Sep 02 07:21:11 2020 A3: 0 Wed Sep 02 07:21:11 2020 A4: 0 Wed Sep 02 07:21:11 2020 A5: 0 Wed Sep 02 07:21:11 2020 A6: 1 Wed Sep 02 07:21:11 2020 skew 4.86, size 4.223e-011, alpha -0.500, combined = 1.816e-012 rroots = 2 Wed Sep 02 07:21:11 2020 Wed Sep 02 07:21:11 2020 commencing linear algebra Wed Sep 02 07:21:11 2020 error: cannot open matrix file Wed Sep 02 07:24:40 2020 Wed Sep 02 07:24:40 2020 Wed Sep 02 07:24:40 2020 Msieve v. 1.54 (SVN Unversioned directory) Wed Sep 02 07:24:40 2020 random seeds: 5e24ef78 3b33a3e3 Wed Sep 02 07:24:40 2020 factoring 11769150012108927088278490896865575618096589079656049330120326356071604175471174720735318607517291345236310527068092366377574314842163324649314199863702439697301686973268133988037629770097153094702825100200719 (209 digits) Wed Sep 02 07:24:41 2020 searching for 15-digit factors Wed Sep 02 07:24:41 2020 commencing number field sieve (209-digit input) Wed Sep 02 07:24:41 2020 R0: 11526631770644020958165224897679068481 Wed Sep 02 07:24:41 2020 R1: -1 Wed Sep 02 07:24:41 2020 A0: -13121 Wed Sep 02 07:24:41 2020 A1: 0 Wed Sep 02 07:24:41 2020 A2: 0 Wed Sep 02 07:24:41 2020 A3: 0 Wed Sep 02 07:24:41 2020 A4: 0 Wed Sep 02 07:24:41 2020 A5: 0 Wed Sep 02 07:24:41 2020 A6: 1 Wed Sep 02 07:24:41 2020 skew 4.86, size 4.223e-011, alpha -0.500, combined = 1.816e-012 rroots = 2 Wed Sep 02 07:24:41 2020 Wed Sep 02 07:24:41 2020 commencing linear algebra Wed Sep 02 07:24:42 2020 matrix starts at (0, 0) Wed Sep 02 07:24:43 2020 matrix is 4538096 x 4538267 (1970.9 MB) with weight 576319665 (126.99/col) Wed Sep 02 07:24:43 2020 sparse part has weight 466730063 (102.84/col) Wed Sep 02 07:24:43 2020 saving the first 240 matrix rows for later Wed Sep 02 07:24:44 2020 matrix includes 256 packed rows Wed Sep 02 07:24:45 2020 matrix is 4537856 x 4538267 (1791.5 MB) with weight 421353433 (92.84/col) Wed Sep 02 07:24:45 2020 sparse part has weight 397010594 (87.48/col) Wed Sep 02 07:24:45 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB Wed Sep 02 07:24:56 2020 commencing Lanczos iteration (23 threads) Wed Sep 02 07:24:56 2020 memory use: 2516.6 MB Wed Sep 02 07:24:57 2020 restarting at iteration 14457 (dim = 3690041) Wed Sep 02 07:25:01 2020 linear algebra at 81.3%, ETA 0h36m Wed Sep 02 07:25:03 2020 checkpointing every 1230000 dimensions Wed Sep 02 08:08:57 2020 lanczos halted after 17780 iterations (dim = 4537850) Wed Sep 02 08:09:14 2020 recovered 31 nontrivial dependencies Wed Sep 02 08:09:15 2020 BLanczosTime: 2674 Wed Sep 02 08:09:15 2020 Wed Sep 02 08:09:15 2020 commencing square root phase Wed Sep 02 08:09:15 2020 reading relations for dependency 1 Wed Sep 02 08:09:15 2020 read 2267845 cycles Wed Sep 02 08:09:18 2020 cycles contain 7720978 unique relations Wed Sep 02 08:10:23 2020 read 7720978 relations Wed Sep 02 08:10:46 2020 multiplying 7720978 relations Wed Sep 02 08:13:34 2020 multiply complete, coefficients have about 192.85 million bits Wed Sep 02 08:13:35 2020 initial square root is modulo 8337859 Wed Sep 02 08:16:36 2020 GCD is 1, no factor found Wed Sep 02 08:16:36 2020 reading relations for dependency 2 Wed Sep 02 08:16:37 2020 read 2269940 cycles Wed Sep 02 08:16:40 2020 cycles contain 7729464 unique relations Wed Sep 02 08:17:43 2020 read 7729464 relations Wed Sep 02 08:18:06 2020 multiplying 7729464 relations Wed Sep 02 08:20:55 2020 multiply complete, coefficients have about 193.06 million bits Wed Sep 02 08:20:56 2020 initial square root is modulo 8483929 Wed Sep 02 08:24:08 2020 sqrtTime: 893 Wed Sep 02 08:24:08 2020 p73 factor: 8855974461286990540988410929241885688268790844937346016757577306963861211 Wed Sep 02 08:24:08 2020 p136 factor: 1328950310726006837301844539617359897846356259286501805119349936276440539289169103663959760385738664263887471986786810441727892414609629 Wed Sep 02 08:24:08 2020 elapsed time 00:59:28