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Wed Oct 13 03:55:45 2021 Wed Oct 13 03:55:45 2021 Wed Oct 13 03:55:45 2021 Msieve v. 1.54 (SVN unknown) Wed Oct 13 03:55:45 2021 random seeds: fab26936 32db6986 Wed Oct 13 03:55:45 2021 factoring 3886884448967564043938938006726743122252253457341649414923810829018547583763067828696123341972989670020977203849944896681537947131103858774325554615747637570032132238344159396459379015043807879054238978275715996471780709357 (223 digits) Wed Oct 13 03:55:46 2021 no P-1/P+1/ECM available, skipping Wed Oct 13 03:55:46 2021 commencing number field sieve (223-digit input) Wed Oct 13 03:55:46 2021 R0: -50664140005834942856992800438775575662821376 Wed Oct 13 03:55:46 2021 R1: 40812436757196811351 Wed Oct 13 03:55:46 2021 A0: 22801 Wed Oct 13 03:55:46 2021 A1: 0 Wed Oct 13 03:55:46 2021 A2: 0 Wed Oct 13 03:55:46 2021 A3: 0 Wed Oct 13 03:55:46 2021 A4: 0 Wed Oct 13 03:55:46 2021 A5: 0 Wed Oct 13 03:55:46 2021 A6: 56 Wed Oct 13 03:55:46 2021 skew 2.72, size 2.014e-13, alpha -0.021, combined = 3.706e-14 rroots = 0 Wed Oct 13 03:55:46 2021 Wed Oct 13 03:55:46 2021 commencing relation filtering Wed Oct 13 03:55:46 2021 setting target matrix density to 110.0 Wed Oct 13 03:55:46 2021 estimated available RAM is 515600.8 MB Wed Oct 13 03:55:46 2021 commencing duplicate removal, pass 1 Wed Oct 13 04:36:20 2021 skipped 514 relations with b > 2^32 Wed Oct 13 04:36:20 2021 skipped 549 relations with composite factors Wed Oct 13 04:36:20 2021 found 103589179 hash collisions in 444716244 relations Wed Oct 13 04:36:31 2021 commencing duplicate removal, pass 2 Wed Oct 13 04:43:26 2021 found 102241835 duplicates and 342474409 unique relations Wed Oct 13 04:43:26 2021 memory use: 2387.0 MB Wed Oct 13 04:43:26 2021 reading ideals above 720000 Wed Oct 13 04:43:26 2021 commencing singleton removal, initial pass Wed Oct 13 05:17:11 2021 memory use: 11024.0 MB Wed Oct 13 05:17:12 2021 reading all ideals from disk Wed Oct 13 05:17:14 2021 memory use: 14519.9 MB Wed Oct 13 05:17:30 2021 keeping 335215365 ideals with weight <= 200, target excess is 1770342 Wed Oct 13 05:17:51 2021 commencing in-memory singleton removal Wed Oct 13 05:18:01 2021 begin with 342474409 relations and 335215365 unique ideals Wed Oct 13 05:20:12 2021 reduce to 200293002 relations and 176544551 ideals in 18 passes Wed Oct 13 05:20:12 2021 max relations containing the same ideal: 150 Wed Oct 13 05:21:00 2021 removing 15602473 relations and 13602473 ideals in 2000000 cliques Wed Oct 13 05:21:04 2021 commencing in-memory singleton removal Wed Oct 13 05:21:10 2021 begin with 184690529 relations and 176544551 unique ideals Wed Oct 13 05:22:18 2021 reduce to 183646683 relations and 161883222 ideals in 11 passes Wed Oct 13 05:22:18 2021 max relations containing the same ideal: 143 Wed Oct 13 05:23:02 2021 removing 11698345 relations and 9698345 ideals in 2000000 cliques Wed Oct 13 05:23:07 2021 commencing in-memory singleton removal Wed Oct 13 05:23:11 2021 begin with 171948338 relations and 161883222 unique ideals Wed Oct 13 05:24:16 2021 reduce to 171292251 relations and 151520779 ideals in 11 passes Wed Oct 13 05:24:16 2021 max relations containing the same ideal: 134 Wed Oct 13 05:24:56 2021 removing 10488163 relations and 8488163 ideals in 2000000 cliques Wed Oct 13 05:25:00 2021 commencing in-memory singleton removal Wed Oct 13 05:25:05 2021 begin with 160804088 relations and 151520779 unique ideals Wed Oct 13 05:25:58 2021 reduce to 160237053 relations and 142459033 ideals in 10 passes Wed Oct 13 05:25:58 2021 max relations containing the same ideal: 129 Wed Oct 13 05:26:36 2021 removing 9857535 relations and 7857535 ideals in 2000000 cliques Wed Oct 13 05:26:40 2021 commencing in-memory singleton removal Wed Oct 13 05:26:44 2021 begin with 150379518 relations and 142459033 unique ideals Wed Oct 13 05:27:24 2021 reduce to 149848669 relations and 134064290 ideals in 8 passes Wed Oct 13 05:27:24 2021 max relations containing the same ideal: 126 Wed Oct 13 05:28:00 2021 removing 9462157 relations and 7462157 ideals in 2000000 cliques Wed Oct 13 05:28:04 2021 commencing in-memory singleton removal Wed Oct 13 05:28:08 2021 begin with 140386512 relations and 134064290 unique ideals Wed Oct 13 05:28:50 2021 reduce to 139868284 relations and 126077428 ideals in 9 passes Wed Oct 13 05:28:50 2021 max relations containing the same ideal: 121 Wed Oct 13 05:29:23 2021 removing 9201311 relations and 7201311 ideals in 2000000 cliques Wed Oct 13 05:29:27 2021 commencing in-memory singleton removal Wed Oct 13 05:29:30 2021 begin with 130666973 relations and 126077428 unique ideals Wed Oct 13 05:30:05 2021 reduce to 130149402 relations and 118351825 ideals in 8 passes Wed Oct 13 05:30:05 2021 max relations containing the same ideal: 117 Wed Oct 13 05:30:37 2021 removing 9021848 relations and 7021848 ideals in 2000000 cliques Wed Oct 13 05:30:40 2021 commencing in-memory singleton removal Wed Oct 13 05:30:43 2021 begin with 121127554 relations and 118351825 unique ideals Wed Oct 13 05:31:15 2021 reduce to 120599131 relations and 110794287 ideals in 8 passes Wed Oct 13 05:31:15 2021 max relations containing the same ideal: 108 Wed Oct 13 05:31:45 2021 removing 8904083 relations and 6904083 ideals in 2000000 cliques Wed Oct 13 05:31:48 2021 commencing in-memory singleton removal Wed Oct 13 05:31:51 2021 begin with 111695048 relations and 110794287 unique ideals Wed Oct 13 05:32:20 2021 reduce to 111147176 relations and 103334258 ideals in 8 passes Wed Oct 13 05:32:20 2021 max relations containing the same ideal: 102 Wed Oct 13 05:32:48 2021 removing 8827670 relations and 6827670 ideals in 2000000 cliques Wed Oct 13 05:32:50 2021 commencing in-memory singleton removal Wed Oct 13 05:32:53 2021 begin with 102319506 relations and 103334258 unique ideals Wed Oct 13 05:33:20 2021 reduce to 101741314 relations and 95919208 ideals in 8 passes Wed Oct 13 05:33:20 2021 max relations containing the same ideal: 96 Wed Oct 13 05:33:45 2021 removing 8783632 relations and 6783632 ideals in 2000000 cliques Wed Oct 13 05:33:48 2021 commencing in-memory singleton removal Wed Oct 13 05:33:51 2021 begin with 92957682 relations and 95919208 unique ideals Wed Oct 13 05:34:18 2021 reduce to 92336734 relations and 88503984 ideals in 9 passes Wed Oct 13 05:34:18 2021 max relations containing the same ideal: 90 Wed Oct 13 05:34:41 2021 removing 7986331 relations and 6207178 ideals in 1779153 cliques Wed Oct 13 05:34:43 2021 commencing in-memory singleton removal Wed Oct 13 05:34:46 2021 begin with 84350403 relations and 88503984 unique ideals Wed Oct 13 05:35:10 2021 reduce to 83798555 relations and 81735696 ideals in 9 passes Wed Oct 13 05:35:10 2021 max relations containing the same ideal: 83 Wed Oct 13 05:35:32 2021 removing 90665 relations and 81403 ideals in 9262 cliques Wed Oct 13 05:35:33 2021 commencing in-memory singleton removal Wed Oct 13 05:35:35 2021 begin with 83707890 relations and 81735696 unique ideals Wed Oct 13 05:35:46 2021 reduce to 83707834 relations and 81654237 ideals in 4 passes Wed Oct 13 05:35:46 2021 max relations containing the same ideal: 83 Wed Oct 13 05:35:57 2021 relations with 0 large ideals: 64030 Wed Oct 13 05:35:57 2021 relations with 1 large ideals: 39541 Wed Oct 13 05:35:57 2021 relations with 2 large ideals: 413316 Wed Oct 13 05:35:57 2021 relations with 3 large ideals: 2551685 Wed Oct 13 05:35:57 2021 relations with 4 large ideals: 8639528 Wed Oct 13 05:35:57 2021 relations with 5 large ideals: 17540927 Wed Oct 13 05:35:57 2021 relations with 6 large ideals: 22357273 Wed Oct 13 05:35:57 2021 relations with 7+ large ideals: 32101534 Wed Oct 13 05:35:57 2021 commencing 2-way merge Wed Oct 13 05:36:27 2021 reduce to 52509928 relation sets and 50456331 unique ideals Wed Oct 13 05:36:27 2021 commencing full merge Wed Oct 13 05:49:21 2021 memory use: 6574.0 MB Wed Oct 13 05:49:25 2021 found 24400111 cycles, need 24232531 Wed Oct 13 05:49:30 2021 weight of 24232531 cycles is about 2665983985 (110.02/cycle) Wed Oct 13 05:49:30 2021 distribution of cycle lengths: Wed Oct 13 05:49:30 2021 1 relations: 1843289 Wed Oct 13 05:49:30 2021 2 relations: 1999311 Wed Oct 13 05:49:30 2021 3 relations: 2062555 Wed Oct 13 05:49:30 2021 4 relations: 1958598 Wed Oct 13 05:49:30 2021 5 relations: 1878391 Wed Oct 13 05:49:30 2021 6 relations: 1774553 Wed Oct 13 05:49:30 2021 7 relations: 1660502 Wed Oct 13 05:49:30 2021 8 relations: 1546014 Wed Oct 13 05:49:30 2021 9 relations: 1414001 Wed Oct 13 05:49:30 2021 10+ relations: 8095317 Wed Oct 13 05:49:30 2021 heaviest cycle: 28 relations Wed Oct 13 05:49:35 2021 commencing cycle optimization Wed Oct 13 05:50:06 2021 start with 190591954 relations Wed Oct 13 05:54:30 2021 pruned 6964763 relations Wed Oct 13 05:54:31 2021 memory use: 5392.3 MB Wed Oct 13 05:54:31 2021 distribution of cycle lengths: Wed Oct 13 05:54:31 2021 1 relations: 1843289 Wed Oct 13 05:54:31 2021 2 relations: 2044933 Wed Oct 13 05:54:31 2021 3 relations: 2142626 Wed Oct 13 05:54:31 2021 4 relations: 2025908 Wed Oct 13 05:54:31 2021 5 relations: 1953563 Wed Oct 13 05:54:31 2021 6 relations: 1834387 Wed Oct 13 05:54:31 2021 7 relations: 1719983 Wed Oct 13 05:54:31 2021 8 relations: 1590078 Wed Oct 13 05:54:31 2021 9 relations: 1450702 Wed Oct 13 05:54:31 2021 10+ relations: 7627062 Wed Oct 13 05:54:31 2021 heaviest cycle: 28 relations Wed Oct 13 05:54:55 2021 RelProcTime: 7149 Wed Oct 13 05:54:55 2021 elapsed time 01:59:10 Wed Oct 13 14:29:23 2021 Wed Oct 13 14:29:23 2021 Wed Oct 13 14:29:23 2021 Msieve v. 1.54 (SVN Unversioned directory) Wed Oct 13 14:29:23 2021 random seeds: 5286f072 bcf4ea74 Wed Oct 13 14:29:23 2021 MPI process 0 of 1 Wed Oct 13 14:29:23 2021 factoring 3886884448967564043938938006726743122252253457341649414923810829018547583763067828696123341972989670020977203849944896681537947131103858774325554615747637570032132238344159396459379015043807879054238978275715996471780709357 (223 digits) Wed Oct 13 14:29:27 2021 no P-1/P+1/ECM available, skipping Wed Oct 13 14:29:27 2021 commencing number field sieve (223-digit input) Wed Oct 13 14:29:27 2021 R0: -50664140005834942856992800438775575662821376 Wed Oct 13 14:29:27 2021 R1: 40812436757196811351 Wed Oct 13 14:29:27 2021 A0: 22801 Wed Oct 13 14:29:27 2021 A1: 0 Wed Oct 13 14:29:27 2021 A2: 0 Wed Oct 13 14:29:27 2021 A3: 0 Wed Oct 13 14:29:27 2021 A4: 0 Wed Oct 13 14:29:27 2021 A5: 0 Wed Oct 13 14:29:27 2021 A6: 56 Wed Oct 13 14:29:27 2021 skew 2.72, size 2.014e-13, alpha -0.021, combined = 3.706e-14 rroots = 0 Wed Oct 13 14:29:27 2021 Wed Oct 13 14:29:27 2021 commencing linear algebra Wed Oct 13 14:29:27 2021 using VBITS=128 Wed Oct 13 14:29:27 2021 initialized process (0,0) of 1 x 1 grid Wed Oct 13 14:29:36 2021 read 24232531 cycles Wed Oct 13 14:31:56 2021 cycles contain 82320726 unique relations Wed Oct 13 15:06:58 2021 read 82320726 relations Wed Oct 13 15:14:44 2021 using 20 quadratic characters above 4294917295 Wed Oct 13 15:27:18 2021 building initial matrix Wed Oct 13 16:28:50 2021 memory use: 11131.1 MB Wed Oct 13 16:29:39 2021 read 24232531 cycles Wed Oct 13 16:29:44 2021 matrix is 24232352 x 24232531 (10625.2 MB) with weight 3094708373 (127.71/col) Wed Oct 13 16:29:44 2021 sparse part has weight 2518767212 (103.94/col) Wed Oct 13 17:08:15 2021 filtering completed in 2 passes Wed Oct 13 17:08:21 2021 matrix is 24229339 x 24229517 (10624.9 MB) with weight 3094593517 (127.72/col) Wed Oct 13 17:08:21 2021 sparse part has weight 2518727114 (103.95/col) Wed Oct 13 17:14:02 2021 matrix starts at (0, 0) Wed Oct 13 17:14:07 2021 matrix is 24229339 x 24229517 (10624.9 MB) with weight 3094593517 (127.72/col) Wed Oct 13 17:14:07 2021 sparse part has weight 2518727114 (103.95/col) Wed Oct 13 17:14:07 2021 saving the first 112 matrix rows for later Wed Oct 13 17:14:19 2021 matrix includes 128 packed rows Wed Oct 13 17:14:27 2021 matrix is 24229227 x 24229517 (9892.4 MB) with weight 2437308763 (100.59/col) Wed Oct 13 17:14:27 2021 sparse part has weight 2302483823 (95.03/col) Wed Oct 13 17:14:27 2021 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Wed Oct 13 17:18:41 2021 commencing Lanczos iteration Wed Oct 13 17:18:41 2021 memory use: 11546.3 MB Wed Oct 13 17:47:19 2021 Wed Oct 13 17:47:19 2021 Wed Oct 13 17:47:19 2021 Msieve v. 1.54 (SVN Unversioned directory) Wed Oct 13 17:47:19 2021 random seeds: 7ce89fc7 02a99182 Wed Oct 13 17:47:19 2021 MPI process 0 of 400 Wed Oct 13 17:47:19 2021 factoring 3886884448967564043938938006726743122252253457341649414923810829018547583763067828696123341972989670020977203849944896681537947131103858774325554615747637570032132238344159396459379015043807879054238978275715996471780709357 (223 digits) Wed Oct 13 17:47:23 2021 no P-1/P+1/ECM available, skipping Wed Oct 13 17:47:23 2021 commencing number field sieve (223-digit input) Wed Oct 13 17:47:23 2021 R0: -50664140005834942856992800438775575662821376 Wed Oct 13 17:47:23 2021 R1: 40812436757196811351 Wed Oct 13 17:47:23 2021 A0: 22801 Wed Oct 13 17:47:23 2021 A1: 0 Wed Oct 13 17:47:23 2021 A2: 0 Wed Oct 13 17:47:23 2021 A3: 0 Wed Oct 13 17:47:23 2021 A4: 0 Wed Oct 13 17:47:23 2021 A5: 0 Wed Oct 13 17:47:23 2021 A6: 56 Wed Oct 13 17:47:23 2021 skew 2.72, size 2.014e-13, alpha -0.021, combined = 3.706e-14 rroots = 0 Wed Oct 13 17:47:23 2021 Wed Oct 13 17:47:23 2021 commencing linear algebra Wed Oct 13 17:47:23 2021 using VBITS=128 Wed Oct 13 17:47:23 2021 skipping matrix build Wed Oct 13 17:47:23 2021 initialized process (0,0) of 20 x 20 grid Wed Oct 13 17:47:26 2021 matrix starts at (0, 0) Wed Oct 13 17:47:26 2021 matrix is 1211580 x 871818 (75.9 MB) with weight 30850066 (35.39/col) Wed Oct 13 17:47:26 2021 sparse part has weight 10294734 (11.81/col) Wed Oct 13 17:47:26 2021 saving the first 112 matrix rows for later Wed Oct 13 17:47:26 2021 matrix includes 128 packed rows Wed Oct 13 17:47:28 2021 matrix is 1211468 x 871818 (58.7 MB) with weight 6645181 ( 7.62/col) Wed Oct 13 17:47:28 2021 sparse part has weight 4922272 ( 5.65/col) Wed Oct 13 17:47:28 2021 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Wed Oct 13 17:47:28 2021 commencing Lanczos iteration (12 threads) Wed Oct 13 17:47:28 2021 memory use: 73.3 MB Wed Oct 13 17:47:33 2021 linear algebra at 0.0%, ETA 8h49m Wed Oct 13 17:47:33 2021 checkpointing every 3670000 dimensions Wed Oct 13 21:19:27 2021 lanczos halted after 190425 iterations (dim = 24229225) Wed Oct 13 21:23:50 2021 recovered 36 nontrivial dependencies Wed Oct 13 21:23:50 2021 BLanczosTime: 12987 Wed Oct 13 21:23:50 2021 elapsed time 03:36:31 Wed Oct 13 21:49:10 2021 Wed Oct 13 21:49:10 2021 Wed Oct 13 21:49:10 2021 Msieve v. 1.54 (SVN unknown) Wed Oct 13 21:49:10 2021 random seeds: 6fa1fbfd edf1e286 Wed Oct 13 21:49:10 2021 factoring 3886884448967564043938938006726743122252253457341649414923810829018547583763067828696123341972989670020977203849944896681537947131103858774325554615747637570032132238344159396459379015043807879054238978275715996471780709357 (223 digits) Wed Oct 13 21:49:11 2021 no P-1/P+1/ECM available, skipping Wed Oct 13 21:49:11 2021 commencing number field sieve (223-digit input) Wed Oct 13 21:49:11 2021 R0: -50664140005834942856992800438775575662821376 Wed Oct 13 21:49:11 2021 R1: 40812436757196811351 Wed Oct 13 21:49:11 2021 A0: 22801 Wed Oct 13 21:49:11 2021 A1: 0 Wed Oct 13 21:49:11 2021 A2: 0 Wed Oct 13 21:49:11 2021 A3: 0 Wed Oct 13 21:49:11 2021 A4: 0 Wed Oct 13 21:49:11 2021 A5: 0 Wed Oct 13 21:49:11 2021 A6: 56 Wed Oct 13 21:49:11 2021 skew 2.72, size 2.014e-13, alpha -0.021, combined = 3.706e-14 rroots = 0 Wed Oct 13 21:49:11 2021 Wed Oct 13 21:49:11 2021 commencing square root phase Wed Oct 13 21:49:11 2021 reading relations for dependency 1 Wed Oct 13 21:49:13 2021 read 12116631 cycles Wed Oct 13 21:49:29 2021 cycles contain 41158064 unique relations Wed Oct 13 21:56:28 2021 read 41158064 relations Wed Oct 13 21:58:34 2021 multiplying 41158064 relations Wed Oct 13 22:26:44 2021 multiply complete, coefficients have about 1354.59 million bits Wed Oct 13 22:26:47 2021 initial square root is modulo 1192183 Wed Oct 13 22:56:11 2021 sqrtTime: 4020 Wed Oct 13 22:56:11 2021 p84 factor: 428871708908180427875541575059200253311268753323601968785786083831207960604158517333 Wed Oct 13 22:56:11 2021 p139 factor: 9063046986388484628098868242432220996746929117144360045848446063046770038243674126433834103934413767983650682792061644851576559930253679929 Wed Oct 13 22:56:11 2021 elapsed time 01:07:01
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