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Wed Jan 15 17:23:30 2020 Wed Jan 15 17:23:30 2020 Wed Jan 15 17:23:30 2020 Msieve v. 1.53 (SVN 1005) Wed Jan 15 17:23:30 2020 random seeds: e0ea0580 86e57af0 Wed Jan 15 17:23:30 2020 factoring 2512576673566069812515369147927686093805810640599721238539527815923818645610889746718904123689199745269753132340750151064398471528098887896005008153154596819391281 (163 digits) Wed Jan 15 17:23:30 2020 searching for 15-digit factors Wed Jan 15 17:23:31 2020 commencing number field sieve (163-digit input) Wed Jan 15 17:23:31 2020 R0: 116033079621694333172632344203509 Wed Jan 15 17:23:31 2020 R1: -1 Wed Jan 15 17:23:31 2020 A0: -1 Wed Jan 15 17:23:31 2020 A1: 0 Wed Jan 15 17:23:31 2020 A2: 0 Wed Jan 15 17:23:31 2020 A3: 0 Wed Jan 15 17:23:31 2020 A4: 0 Wed Jan 15 17:23:31 2020 A5: 0 Wed Jan 15 17:23:31 2020 A6: 48774625069 Wed Jan 15 17:23:31 2020 skew 0.02, size 7.075e-011, alpha -1.205, combined = 2.575e-012 rroots = 2 Wed Jan 15 17:23:31 2020 Wed Jan 15 17:23:31 2020 commencing relation filtering Wed Jan 15 17:23:31 2020 setting target matrix density to 120.0 Wed Jan 15 17:23:31 2020 estimated available RAM is 7613.4 MB Wed Jan 15 17:23:31 2020 commencing duplicate removal, pass 1 Wed Jan 15 17:24:05 2020 error -5 reading relation 3528364 Wed Jan 15 17:24:05 2020 error -15 reading relation 3530876 Wed Jan 15 17:26:17 2020 error -5 reading relation 17090983 Wed Jan 15 17:28:18 2020 error -1 reading relation 28538598 Wed Jan 15 17:28:57 2020 error -1 reading relation 32558146 Wed Jan 15 17:29:08 2020 error -15 reading relation 33702062 Wed Jan 15 17:29:25 2020 error -9 reading relation 35474885 Wed Jan 15 17:30:27 2020 error -9 reading relation 41800477 Wed Jan 15 17:31:06 2020 error -15 reading relation 45839522 Wed Jan 15 17:31:55 2020 error -9 reading relation 50827282 Wed Jan 15 17:32:07 2020 error -15 reading relation 52008391 Wed Jan 15 17:32:09 2020 error -5 reading relation 52209813 Wed Jan 15 17:32:45 2020 error -1 reading relation 55164081 Wed Jan 15 17:33:29 2020 error -9 reading relation 59571075 Wed Jan 15 17:34:31 2020 error -9 reading relation 65918323 Wed Jan 15 17:35:05 2020 error -5 reading relation 69398637 Wed Jan 15 17:35:06 2020 error -1 reading relation 69558616 Wed Jan 15 17:35:13 2020 error -9 reading relation 70264552 Wed Jan 15 17:35:16 2020 error -15 reading relation 70521769 Wed Jan 15 17:35:21 2020 error -9 reading relation 71043131 Wed Jan 15 17:35:35 2020 error -1 reading relation 72526659 Wed Jan 15 17:35:48 2020 error -15 reading relation 73861292 Wed Jan 15 17:35:49 2020 error -15 reading relation 73983917 Wed Jan 15 17:35:55 2020 error -15 reading relation 74559754 Wed Jan 15 17:35:57 2020 error -9 reading relation 74732442 Wed Jan 15 17:36:08 2020 error -1 reading relation 75938332 Wed Jan 15 17:36:09 2020 error -9 reading relation 76019637 Wed Jan 15 17:36:16 2020 error -5 reading relation 76730922 Wed Jan 15 17:36:21 2020 error -9 reading relation 77247162 Wed Jan 15 17:36:30 2020 error -9 reading relation 78187957 Wed Jan 15 17:36:37 2020 error -15 reading relation 78922554 Wed Jan 15 17:36:40 2020 error -5 reading relation 79172401 Wed Jan 15 17:36:43 2020 error -15 reading relation 79482601 Wed Jan 15 17:36:49 2020 error -9 reading relation 80105685 Wed Jan 15 17:36:49 2020 error -5 reading relation 80128288 Wed Jan 15 17:36:55 2020 error -5 reading relation 80739205 Wed Jan 15 17:36:58 2020 error -9 reading relation 81022232 Wed Jan 15 17:36:58 2020 error -9 reading relation 81061232 Wed Jan 15 17:37:03 2020 error -9 reading relation 81504328 Wed Jan 15 17:37:05 2020 error -15 reading relation 81759818 Wed Jan 15 17:37:10 2020 error -1 reading relation 82221300 Wed Jan 15 17:37:10 2020 error -9 reading relation 82272916 Wed Jan 15 17:37:18 2020 error -15 reading relation 83041144 Wed Jan 15 17:37:20 2020 error -1 reading relation 83341839 Wed Jan 15 17:37:21 2020 error -9 reading relation 83406005 Wed Jan 15 17:37:29 2020 error -9 reading relation 84187655 Wed Jan 15 17:37:30 2020 error -15 reading relation 84382277 Wed Jan 15 17:37:31 2020 error -5 reading relation 84406334 Wed Jan 15 17:37:32 2020 error -9 reading relation 84554391 Wed Jan 15 17:37:35 2020 error -9 reading relation 84835953 Wed Jan 15 17:37:36 2020 error -1 reading relation 84944772 Wed Jan 15 17:37:41 2020 error -15 reading relation 85435213 Wed Jan 15 17:37:41 2020 error -15 reading relation 85500780 Wed Jan 15 17:37:42 2020 error -9 reading relation 85541155 Wed Jan 15 17:37:43 2020 error -9 reading relation 85695675 Wed Jan 15 17:37:45 2020 error -1 reading relation 85835335 Wed Jan 15 17:37:46 2020 error -9 reading relation 86033423 Wed Jan 15 17:37:50 2020 error -9 reading relation 86347230 Wed Jan 15 17:37:52 2020 error -9 reading relation 86619542 Wed Jan 15 17:37:55 2020 error -9 reading relation 86889640 Wed Jan 15 17:38:05 2020 error -9 reading relation 87926906 Wed Jan 15 17:38:08 2020 error -9 reading relation 88274353 Wed Jan 15 17:38:13 2020 error -1 reading relation 88745078 Wed Jan 15 17:38:15 2020 error -1 reading relation 88972738 Wed Jan 15 17:38:31 2020 error -9 reading relation 90692294 Wed Jan 15 17:38:37 2020 error -15 reading relation 91258830 Wed Jan 15 17:38:37 2020 error -9 reading relation 91316159 Wed Jan 15 17:38:42 2020 error -9 reading relation 91734303 Wed Jan 15 17:38:42 2020 error -1 reading relation 91827419 Wed Jan 15 17:38:50 2020 error -1 reading relation 92575591 Wed Jan 15 17:39:08 2020 error -1 reading relation 94442502 Wed Jan 15 17:39:16 2020 error -9 reading relation 95307531 Wed Jan 15 17:39:19 2020 error -9 reading relation 95596634 Wed Jan 15 17:39:27 2020 error -9 reading relation 96429565 Wed Jan 15 17:39:40 2020 error -5 reading relation 97813177 Wed Jan 15 17:39:54 2020 error -9 reading relation 99195354 Wed Jan 15 17:39:55 2020 error -9 reading relation 99350756 Wed Jan 15 17:40:00 2020 error -15 reading relation 99835008 Wed Jan 15 17:40:13 2020 error -15 reading relation 101173742 Wed Jan 15 17:40:17 2020 error -9 reading relation 101575376 Wed Jan 15 17:40:22 2020 error -9 reading relation 102071382 Wed Jan 15 17:40:23 2020 error -15 reading relation 102226533 Wed Jan 15 17:40:24 2020 error -9 reading relation 102280504 Wed Jan 15 17:40:27 2020 error -15 reading relation 102605651 Wed Jan 15 17:40:31 2020 error -9 reading relation 103083420 Wed Jan 15 17:40:33 2020 error -9 reading relation 103280685 Wed Jan 15 17:40:43 2020 error -15 reading relation 104330310 Wed Jan 15 17:40:50 2020 error -15 reading relation 104982529 Wed Jan 15 17:41:40 2020 error -9 reading relation 110241642 Wed Jan 15 17:41:47 2020 error -15 reading relation 110960338 Wed Jan 15 17:41:48 2020 error -5 reading relation 111061926 Wed Jan 15 17:41:50 2020 error -9 reading relation 111246904 Wed Jan 15 17:41:50 2020 error -9 reading relation 111273928 Wed Jan 15 17:41:55 2020 error -15 reading relation 111789106 Wed Jan 15 17:41:56 2020 error -9 reading relation 111834011 Wed Jan 15 17:42:34 2020 error -1 reading relation 115794916 Wed Jan 15 17:42:35 2020 error -9 reading relation 115924067 Wed Jan 15 17:42:35 2020 error -9 reading relation 115948257 Wed Jan 15 17:42:51 2020 error -15 reading relation 117535646 Wed Jan 15 17:42:51 2020 error -5 reading relation 117549253 Wed Jan 15 17:42:56 2020 error -9 reading relation 118144721 Wed Jan 15 17:43:03 2020 error -15 reading relation 118807906 Wed Jan 15 17:43:07 2020 error -15 reading relation 119247024 Wed Jan 15 17:43:07 2020 error -9 reading relation 119265889 Wed Jan 15 17:43:07 2020 error -15 reading relation 119293731 Wed Jan 15 17:43:10 2020 error -5 reading relation 119556613 Wed Jan 15 17:43:10 2020 error -15 reading relation 119582364 Wed Jan 15 17:43:11 2020 skipped 2408 relations with b > 2^32 Wed Jan 15 17:43:11 2020 skipped 56 relations with composite factors Wed Jan 15 17:43:11 2020 found 18514818 hash collisions in 119666056 relations Wed Jan 15 17:43:39 2020 added 1219770 free relations Wed Jan 15 17:43:40 2020 commencing duplicate removal, pass 2 Wed Jan 15 17:45:59 2020 found 18184842 duplicates and 102700984 unique relations Wed Jan 15 17:45:59 2020 memory use: 788.8 MB Wed Jan 15 17:45:59 2020 reading ideals above 45940736 Wed Jan 15 17:45:59 2020 commencing singleton removal, initial pass Wed Jan 15 17:59:15 2020 memory use: 2756.0 MB Wed Jan 15 17:59:15 2020 reading all ideals from disk Wed Jan 15 17:59:16 2020 memory use: 1814.6 MB Wed Jan 15 17:59:21 2020 commencing in-memory singleton removal Wed Jan 15 17:59:25 2020 begin with 102700984 relations and 82725971 unique ideals Wed Jan 15 18:00:00 2020 reduce to 68819032 relations and 45681298 ideals in 11 passes Wed Jan 15 18:00:00 2020 max relations containing the same ideal: 63 Wed Jan 15 18:00:06 2020 reading ideals above 720000 Wed Jan 15 18:00:06 2020 commencing singleton removal, initial pass Wed Jan 15 18:11:22 2020 memory use: 1378.0 MB Wed Jan 15 18:11:23 2020 reading all ideals from disk Wed Jan 15 18:11:24 2020 memory use: 2477.9 MB Wed Jan 15 18:11:32 2020 keeping 50862565 ideals with weight <= 200, target excess is 363633 Wed Jan 15 18:11:39 2020 commencing in-memory singleton removal Wed Jan 15 18:11:45 2020 begin with 68819032 relations and 50862565 unique ideals Wed Jan 15 18:12:12 2020 reduce to 68818889 relations and 50862422 ideals in 5 passes Wed Jan 15 18:12:12 2020 max relations containing the same ideal: 200 Wed Jan 15 18:12:42 2020 removing 7932857 relations and 5932857 ideals in 2000000 cliques Wed Jan 15 18:12:45 2020 commencing in-memory singleton removal Wed Jan 15 18:12:50 2020 begin with 60886032 relations and 50862422 unique ideals Wed Jan 15 18:13:29 2020 reduce to 60123441 relations and 44139269 ideals in 8 passes Wed Jan 15 18:13:29 2020 max relations containing the same ideal: 191 Wed Jan 15 18:13:55 2020 removing 6404427 relations and 4404427 ideals in 2000000 cliques Wed Jan 15 18:13:58 2020 commencing in-memory singleton removal Wed Jan 15 18:14:03 2020 begin with 53719014 relations and 44139269 unique ideals Wed Jan 15 18:14:32 2020 reduce to 53198115 relations and 39196599 ideals in 7 passes Wed Jan 15 18:14:32 2020 max relations containing the same ideal: 179 Wed Jan 15 18:14:56 2020 removing 5952564 relations and 3952564 ideals in 2000000 cliques Wed Jan 15 18:14:59 2020 commencing in-memory singleton removal Wed Jan 15 18:15:03 2020 begin with 47245551 relations and 39196599 unique ideals Wed Jan 15 18:15:32 2020 reduce to 46781144 relations and 34763267 ideals in 8 passes Wed Jan 15 18:15:32 2020 max relations containing the same ideal: 168 Wed Jan 15 18:15:53 2020 removing 5727318 relations and 3727318 ideals in 2000000 cliques Wed Jan 15 18:15:55 2020 commencing in-memory singleton removal Wed Jan 15 18:15:59 2020 begin with 41053826 relations and 34763267 unique ideals Wed Jan 15 18:16:21 2020 reduce to 40598704 relations and 30563511 ideals in 7 passes Wed Jan 15 18:16:21 2020 max relations containing the same ideal: 153 Wed Jan 15 18:16:40 2020 removing 5586620 relations and 3586620 ideals in 2000000 cliques Wed Jan 15 18:16:42 2020 commencing in-memory singleton removal Wed Jan 15 18:16:45 2020 begin with 35012084 relations and 30563511 unique ideals Wed Jan 15 18:17:06 2020 reduce to 34543648 relations and 26488516 ideals in 8 passes Wed Jan 15 18:17:06 2020 max relations containing the same ideal: 133 Wed Jan 15 18:17:22 2020 removing 5495872 relations and 3495872 ideals in 2000000 cliques Wed Jan 15 18:17:24 2020 commencing in-memory singleton removal Wed Jan 15 18:17:27 2020 begin with 29047776 relations and 26488516 unique ideals Wed Jan 15 18:17:42 2020 reduce to 28539719 relations and 22459352 ideals in 7 passes Wed Jan 15 18:17:42 2020 max relations containing the same ideal: 119 Wed Jan 15 18:17:55 2020 removing 5441662 relations and 3441662 ideals in 2000000 cliques Wed Jan 15 18:17:57 2020 commencing in-memory singleton removal Wed Jan 15 18:17:59 2020 begin with 23098057 relations and 22459352 unique ideals Wed Jan 15 18:18:12 2020 reduce to 22519839 relations and 18405518 ideals in 8 passes Wed Jan 15 18:18:12 2020 max relations containing the same ideal: 99 Wed Jan 15 18:18:23 2020 removing 5403859 relations and 3403859 ideals in 2000000 cliques Wed Jan 15 18:18:25 2020 commencing in-memory singleton removal Wed Jan 15 18:18:27 2020 begin with 17115980 relations and 18405518 unique ideals Wed Jan 15 18:18:36 2020 reduce to 16412762 relations and 14245350 ideals in 8 passes Wed Jan 15 18:18:36 2020 max relations containing the same ideal: 80 Wed Jan 15 18:18:44 2020 removing 4772840 relations and 3027243 ideals in 1745597 cliques Wed Jan 15 18:18:46 2020 commencing in-memory singleton removal Wed Jan 15 18:18:47 2020 begin with 11639922 relations and 14245350 unique ideals Wed Jan 15 18:18:53 2020 reduce to 10867399 relations and 10373658 ideals in 8 passes Wed Jan 15 18:18:53 2020 max relations containing the same ideal: 59 Wed Jan 15 18:18:58 2020 removing 378489 relations and 306563 ideals in 71926 cliques Wed Jan 15 18:18:59 2020 commencing in-memory singleton removal Wed Jan 15 18:18:59 2020 begin with 10488910 relations and 10373658 unique ideals Wed Jan 15 18:19:04 2020 reduce to 10477192 relations and 10055296 ideals in 6 passes Wed Jan 15 18:19:04 2020 max relations containing the same ideal: 58 Wed Jan 15 18:19:06 2020 relations with 0 large ideals: 13927 Wed Jan 15 18:19:06 2020 relations with 1 large ideals: 6820 Wed Jan 15 18:19:06 2020 relations with 2 large ideals: 91422 Wed Jan 15 18:19:06 2020 relations with 3 large ideals: 521875 Wed Jan 15 18:19:06 2020 relations with 4 large ideals: 1532520 Wed Jan 15 18:19:06 2020 relations with 5 large ideals: 2615682 Wed Jan 15 18:19:06 2020 relations with 6 large ideals: 2736799 Wed Jan 15 18:19:06 2020 relations with 7+ large ideals: 2958147 Wed Jan 15 18:19:06 2020 commencing 2-way merge Wed Jan 15 18:19:12 2020 reduce to 6908127 relation sets and 6486231 unique ideals Wed Jan 15 18:19:12 2020 commencing full merge Wed Jan 15 18:22:22 2020 memory use: 886.0 MB Wed Jan 15 18:22:23 2020 found 3090593 cycles, need 3076431 Wed Jan 15 18:22:24 2020 weight of 3076431 cycles is about 370000700 (120.27/cycle) Wed Jan 15 18:22:24 2020 distribution of cycle lengths: Wed Jan 15 18:22:24 2020 1 relations: 96073 Wed Jan 15 18:22:24 2020 2 relations: 152416 Wed Jan 15 18:22:24 2020 3 relations: 192180 Wed Jan 15 18:22:24 2020 4 relations: 210756 Wed Jan 15 18:22:24 2020 5 relations: 225676 Wed Jan 15 18:22:24 2020 6 relations: 228854 Wed Jan 15 18:22:24 2020 7 relations: 226678 Wed Jan 15 18:22:24 2020 8 relations: 218095 Wed Jan 15 18:22:24 2020 9 relations: 204656 Wed Jan 15 18:22:24 2020 10+ relations: 1321047 Wed Jan 15 18:22:24 2020 heaviest cycle: 28 relations Wed Jan 15 18:22:26 2020 commencing cycle optimization Wed Jan 15 18:22:32 2020 start with 28988463 relations Wed Jan 15 18:23:57 2020 pruned 1519607 relations Wed Jan 15 18:23:57 2020 memory use: 730.8 MB Wed Jan 15 18:23:57 2020 distribution of cycle lengths: Wed Jan 15 18:23:57 2020 1 relations: 96073 Wed Jan 15 18:23:57 2020 2 relations: 156372 Wed Jan 15 18:23:57 2020 3 relations: 200777 Wed Jan 15 18:23:57 2020 4 relations: 220682 Wed Jan 15 18:23:57 2020 5 relations: 238953 Wed Jan 15 18:23:57 2020 6 relations: 242526 Wed Jan 15 18:23:57 2020 7 relations: 241378 Wed Jan 15 18:23:57 2020 8 relations: 231005 Wed Jan 15 18:23:57 2020 9 relations: 215934 Wed Jan 15 18:23:57 2020 10+ relations: 1232731 Wed Jan 15 18:23:57 2020 heaviest cycle: 28 relations Wed Jan 15 18:24:02 2020 RelProcTime: 3631 Wed Jan 15 18:24:02 2020 Wed Jan 15 18:24:02 2020 commencing linear algebra Wed Jan 15 18:24:02 2020 read 3076431 cycles Wed Jan 15 18:24:11 2020 cycles contain 10261890 unique relations Wed Jan 15 18:26:21 2020 read 10261890 relations Wed Jan 15 18:26:44 2020 using 20 quadratic characters above 4294917295 Wed Jan 15 18:27:37 2020 building initial matrix Wed Jan 15 18:30:07 2020 memory use: 1340.8 MB Wed Jan 15 18:30:11 2020 read 3076431 cycles Wed Jan 15 18:30:11 2020 matrix is 3076254 x 3076431 (1442.3 MB) with weight 430051883 (139.79/col) Wed Jan 15 18:30:11 2020 sparse part has weight 344255367 (111.90/col) Wed Jan 15 18:30:55 2020 filtering completed in 2 passes Wed Jan 15 18:30:56 2020 matrix is 3076208 x 3076385 (1442.3 MB) with weight 430049499 (139.79/col) Wed Jan 15 18:30:56 2020 sparse part has weight 344254276 (111.90/col) Wed Jan 15 18:31:30 2020 matrix starts at (0, 0) Wed Jan 15 18:31:31 2020 matrix is 3076208 x 3076385 (1442.3 MB) with weight 430049499 (139.79/col) Wed Jan 15 18:31:31 2020 sparse part has weight 344254276 (111.90/col) Wed Jan 15 18:31:31 2020 saving the first 48 matrix rows for later Wed Jan 15 18:31:32 2020 matrix includes 64 packed rows Wed Jan 15 18:31:32 2020 matrix is 3076160 x 3076385 (1395.9 MB) with weight 368859964 (119.90/col) Wed Jan 15 18:31:32 2020 sparse part has weight 335153110 (108.94/col) Wed Jan 15 18:31:32 2020 using block size 8192 and superblock size 294912 for processor cache size 3072 kB Wed Jan 15 18:31:54 2020 commencing Lanczos iteration (4 threads) Wed Jan 15 18:31:54 2020 memory use: 1164.9 MB Wed Jan 15 18:32:19 2020 linear algebra at 0.0%, ETA 13h32m Wed Jan 15 18:32:27 2020 checkpointing every 230000 dimensions Thu Jan 16 07:44:49 2020 lanczos halted after 48652 iterations (dim = 3076157) Thu Jan 16 07:44:54 2020 recovered 36 nontrivial dependencies Thu Jan 16 07:44:55 2020 BLanczosTime: 48053 Thu Jan 16 07:44:55 2020 Thu Jan 16 07:44:55 2020 commencing square root phase Thu Jan 16 07:44:55 2020 handling dependencies 1 to 64 Thu Jan 16 07:44:55 2020 reading relations for dependency 1 Thu Jan 16 07:44:55 2020 read 1537915 cycles Thu Jan 16 07:44:59 2020 cycles contain 5129986 unique relations Thu Jan 16 07:47:04 2020 read 5129986 relations Thu Jan 16 07:47:30 2020 multiplying 5129986 relations Thu Jan 16 07:56:19 2020 multiply complete, coefficients have about 290.25 million bits Thu Jan 16 07:56:20 2020 initial square root is modulo 161503 Thu Jan 16 08:06:37 2020 sqrtTime: 1302 Thu Jan 16 08:06:37 2020 p61 factor: 1018647740561039015493228316373171826842438380477636703520011 Thu Jan 16 08:06:37 2020 p103 factor: 2466580519956998977844803584391575159247742805657173301363411210087125452555586750708677578591846315571 Thu Jan 16 08:06:37 2020 elapsed time 14:43:07
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