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Jan 31st, 2021
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  1. Tue Jan 12 10:49:07 2021
  2. Tue Jan 12 10:49:07 2021
  3. Tue Jan 12 10:49:07 2021 Msieve v. 1.54 (SVN unknown)
  4. Tue Jan 12 10:49:07 2021 random seeds: 102a23f3 b2207d60
  5. Tue Jan 12 10:49:07 2021 factoring 404250459787344539338515539949515659293728226148002512220883605168021033585321664710470377761695385122373028004840012727168065880787792859302514730803936975524044035004165659977419478016779531 (192 digits)
  6. Tue Jan 12 10:49:08 2021 searching for 15-digit factors
  7. Tue Jan 12 10:49:08 2021 commencing number field sieve (192-digit input)
  8. Tue Jan 12 10:49:08 2021 R0: 704478611188123070096680133183862278830321
  9. Tue Jan 12 10:49:08 2021 R1: -1
  10. Tue Jan 12 10:49:08 2021 A0: -28971231269
  11. Tue Jan 12 10:49:08 2021 A1: 0
  12. Tue Jan 12 10:49:08 2021 A2: 0
  13. Tue Jan 12 10:49:08 2021 A3: 0
  14. Tue Jan 12 10:49:08 2021 A4: 0
  15. Tue Jan 12 10:49:08 2021 A5: 0
  16. Tue Jan 12 10:49:08 2021 A6: 1
  17. Tue Jan 12 10:49:08 2021 skew 55.42, size 2.242e-13, alpha 0.728, combined = 4.202e-14 rroots = 2
  18. Tue Jan 12 10:49:08 2021
  19. Tue Jan 12 10:49:08 2021 commencing relation filtering
  20. Tue Jan 12 10:49:08 2021 setting target matrix density to 120.0
  21. Tue Jan 12 10:49:08 2021 estimated available RAM is 16384.0 MB
  22. Tue Jan 12 10:49:08 2021 commencing duplicate removal, pass 1
  23. Tue Jan 12 10:57:05 2021 error -15 reading relation 122818705
  24. Tue Jan 12 10:58:09 2021 error -15 reading relation 139203039
  25. Tue Jan 12 10:58:43 2021 error -15 reading relation 147929281
  26. Tue Jan 12 10:59:54 2021 error -11 reading relation 166072466
  27. Tue Jan 12 11:02:07 2021 error -15 reading relation 200112623
  28. Tue Jan 12 11:07:13 2021 error -15 reading relation 277525599
  29. Tue Jan 12 11:07:45 2021 error -15 reading relation 285699705
  30. Tue Jan 12 11:12:13 2021 error -1 reading relation 352162246
  31. Tue Jan 12 11:12:18 2021 skipped 4 relations with b > 2^32
  32. Tue Jan 12 11:12:18 2021 skipped 6 relations with composite factors
  33. Tue Jan 12 11:12:18 2021 found 26408805 hash collisions in 353361290 relations
  34. Tue Jan 12 11:12:24 2021 commencing duplicate removal, pass 2
  35. Tue Jan 12 11:13:56 2021 found 384039 duplicates and 352977251 unique relations
  36. Tue Jan 12 11:13:56 2021 memory use: 1257.5 MB
  37. Tue Jan 12 11:13:56 2021 reading ideals above 279904256
  38. Tue Jan 12 11:13:56 2021 commencing singleton removal, initial pass
  39. Tue Jan 12 11:31:29 2021 memory use: 6024.0 MB
  40. Tue Jan 12 11:31:29 2021 reading all ideals from disk
  41. Tue Jan 12 11:31:31 2021 memory use: 6042.9 MB
  42. Tue Jan 12 11:31:37 2021 commencing in-memory singleton removal
  43. Tue Jan 12 11:31:43 2021 begin with 352977251 relations and 304708029 unique ideals
  44. Tue Jan 12 11:32:44 2021 reduce to 214299394 relations and 150546855 ideals in 15 passes
  45. Tue Jan 12 11:32:44 2021 max relations containing the same ideal: 39
  46. Tue Jan 12 11:32:51 2021 reading ideals above 720000
  47. Tue Jan 12 11:32:51 2021 commencing singleton removal, initial pass
  48. Tue Jan 12 11:47:11 2021 memory use: 5512.0 MB
  49. Tue Jan 12 11:47:11 2021 reading large ideals from disk
  50. Tue Jan 12 11:49:19 2021 keeping 161387866 ideals with weight <= 20, target excess is 19581395
  51. Tue Jan 12 11:52:35 2021 memory use: 5247.5 MB
  52. Tue Jan 12 11:52:35 2021 commencing in-memory singleton removal
  53. Tue Jan 12 11:52:39 2021 begin with 214299394 relations and 161387866 unique ideals
  54. Tue Jan 12 11:53:14 2021 reduce to 214289658 relations and 161378130 ideals in 8 passes
  55. Tue Jan 12 11:53:14 2021 max relations containing the same ideal: 20
  56. Tue Jan 12 11:53:44 2021 removing 13477690 relations and 11477690 ideals in 2000000 cliques
  57. Tue Jan 12 11:53:47 2021 commencing in-memory singleton removal
  58. Tue Jan 12 11:53:50 2021 begin with 200811968 relations and 161378130 unique ideals
  59. Tue Jan 12 11:54:26 2021 reduce to 200118927 relations and 149198693 ideals in 9 passes
  60. Tue Jan 12 11:54:26 2021 max relations containing the same ideal: 20
  61. Tue Jan 12 11:54:54 2021 removing 10040954 relations and 8040954 ideals in 2000000 cliques
  62. Tue Jan 12 11:54:56 2021 commencing in-memory singleton removal
  63. Tue Jan 12 11:55:00 2021 begin with 190077973 relations and 149198693 unique ideals
  64. Tue Jan 12 11:55:29 2021 reduce to 189628479 relations and 140703417 ideals in 8 passes
  65. Tue Jan 12 11:55:29 2021 max relations containing the same ideal: 20
  66. Tue Jan 12 11:55:56 2021 removing 8975557 relations and 6975557 ideals in 2000000 cliques
  67. Tue Jan 12 11:55:58 2021 commencing in-memory singleton removal
  68. Tue Jan 12 11:56:01 2021 begin with 180652922 relations and 140703417 unique ideals
  69. Tue Jan 12 11:56:32 2021 reduce to 180262599 relations and 133333478 ideals in 9 passes
  70. Tue Jan 12 11:56:32 2021 max relations containing the same ideal: 20
  71. Tue Jan 12 11:56:57 2021 removing 8426601 relations and 6426601 ideals in 2000000 cliques
  72. Tue Jan 12 11:57:00 2021 commencing in-memory singleton removal
  73. Tue Jan 12 11:57:03 2021 begin with 171835998 relations and 133333478 unique ideals
  74. Tue Jan 12 11:57:29 2021 reduce to 171472156 relations and 126539204 ideals in 8 passes
  75. Tue Jan 12 11:57:29 2021 max relations containing the same ideal: 20
  76. Tue Jan 12 11:57:53 2021 removing 8061522 relations and 6061522 ideals in 2000000 cliques
  77. Tue Jan 12 11:57:55 2021 commencing in-memory singleton removal
  78. Tue Jan 12 11:57:58 2021 begin with 163410634 relations and 126539204 unique ideals
  79. Tue Jan 12 11:58:19 2021 reduce to 163061081 relations and 120124300 ideals in 7 passes
  80. Tue Jan 12 11:58:19 2021 max relations containing the same ideal: 20
  81. Tue Jan 12 11:58:42 2021 removing 7811974 relations and 5811974 ideals in 2000000 cliques
  82. Tue Jan 12 11:58:44 2021 commencing in-memory singleton removal
  83. Tue Jan 12 11:58:47 2021 begin with 155249107 relations and 120124300 unique ideals
  84. Tue Jan 12 11:59:07 2021 reduce to 154902118 relations and 113961405 ideals in 7 passes
  85. Tue Jan 12 11:59:07 2021 max relations containing the same ideal: 20
  86. Tue Jan 12 11:59:29 2021 removing 7676620 relations and 5676620 ideals in 2000000 cliques
  87. Tue Jan 12 11:59:31 2021 commencing in-memory singleton removal
  88. Tue Jan 12 11:59:33 2021 begin with 147225498 relations and 113961405 unique ideals
  89. Tue Jan 12 11:59:55 2021 reduce to 146881490 relations and 107936677 ideals in 8 passes
  90. Tue Jan 12 11:59:55 2021 max relations containing the same ideal: 20
  91. Tue Jan 12 12:00:16 2021 removing 7534393 relations and 5534393 ideals in 2000000 cliques
  92. Tue Jan 12 12:00:18 2021 commencing in-memory singleton removal
  93. Tue Jan 12 12:00:20 2021 begin with 139347097 relations and 107936677 unique ideals
  94. Tue Jan 12 12:00:40 2021 reduce to 139002983 relations and 102053928 ideals in 8 passes
  95. Tue Jan 12 12:00:40 2021 max relations containing the same ideal: 20
  96. Tue Jan 12 12:01:00 2021 removing 7384907 relations and 5384907 ideals in 2000000 cliques
  97. Tue Jan 12 12:01:02 2021 commencing in-memory singleton removal
  98. Tue Jan 12 12:01:04 2021 begin with 131618076 relations and 102053928 unique ideals
  99. Tue Jan 12 12:01:23 2021 reduce to 131246231 relations and 96292170 ideals in 8 passes
  100. Tue Jan 12 12:01:23 2021 max relations containing the same ideal: 20
  101. Tue Jan 12 12:01:42 2021 removing 7399495 relations and 5399495 ideals in 2000000 cliques
  102. Tue Jan 12 12:01:43 2021 commencing in-memory singleton removal
  103. Tue Jan 12 12:01:45 2021 begin with 123846736 relations and 96292170 unique ideals
  104. Tue Jan 12 12:02:03 2021 reduce to 123480485 relations and 90521334 ideals in 8 passes
  105. Tue Jan 12 12:02:03 2021 max relations containing the same ideal: 20
  106. Tue Jan 12 12:02:21 2021 removing 7341275 relations and 5341275 ideals in 2000000 cliques
  107. Tue Jan 12 12:02:22 2021 commencing in-memory singleton removal
  108. Tue Jan 12 12:02:24 2021 begin with 116139210 relations and 90521334 unique ideals
  109. Tue Jan 12 12:02:38 2021 reduce to 115757150 relations and 84792203 ideals in 7 passes
  110. Tue Jan 12 12:02:38 2021 max relations containing the same ideal: 20
  111. Tue Jan 12 12:02:55 2021 removing 7248597 relations and 5248597 ideals in 2000000 cliques
  112. Tue Jan 12 12:02:57 2021 commencing in-memory singleton removal
  113. Tue Jan 12 12:02:58 2021 begin with 108508553 relations and 84792203 unique ideals
  114. Tue Jan 12 12:03:11 2021 reduce to 108083235 relations and 79111348 ideals in 7 passes
  115. Tue Jan 12 12:03:11 2021 max relations containing the same ideal: 20
  116. Tue Jan 12 12:03:27 2021 removing 7318722 relations and 5318722 ideals in 2000000 cliques
  117. Tue Jan 12 12:03:29 2021 commencing in-memory singleton removal
  118. Tue Jan 12 12:03:30 2021 begin with 100764513 relations and 79111348 unique ideals
  119. Tue Jan 12 12:03:46 2021 reduce to 100329912 relations and 73350708 ideals in 9 passes
  120. Tue Jan 12 12:03:46 2021 max relations containing the same ideal: 20
  121. Tue Jan 12 12:04:00 2021 removing 7274769 relations and 5274769 ideals in 2000000 cliques
  122. Tue Jan 12 12:04:02 2021 commencing in-memory singleton removal
  123. Tue Jan 12 12:04:03 2021 begin with 93055143 relations and 73350708 unique ideals
  124. Tue Jan 12 12:04:16 2021 reduce to 92572491 relations and 67584540 ideals in 8 passes
  125. Tue Jan 12 12:04:16 2021 max relations containing the same ideal: 19
  126. Tue Jan 12 12:04:29 2021 removing 7278696 relations and 5278696 ideals in 2000000 cliques
  127. Tue Jan 12 12:04:31 2021 commencing in-memory singleton removal
  128. Tue Jan 12 12:04:32 2021 begin with 85293795 relations and 67584540 unique ideals
  129. Tue Jan 12 12:04:43 2021 reduce to 84752689 relations and 61753660 ideals in 8 passes
  130. Tue Jan 12 12:04:43 2021 max relations containing the same ideal: 18
  131. Tue Jan 12 12:04:56 2021 removing 1327673 relations and 1043063 ideals in 284610 cliques
  132. Tue Jan 12 12:04:57 2021 commencing in-memory singleton removal
  133. Tue Jan 12 12:04:58 2021 begin with 83425016 relations and 61753660 unique ideals
  134. Tue Jan 12 12:05:07 2021 reduce to 83404205 relations and 60689728 ideals in 7 passes
  135. Tue Jan 12 12:05:07 2021 max relations containing the same ideal: 18
  136. Tue Jan 12 12:05:10 2021 relations with 0 large ideals: 3827147
  137. Tue Jan 12 12:05:10 2021 relations with 1 large ideals: 16285483
  138. Tue Jan 12 12:05:10 2021 relations with 2 large ideals: 29168750
  139. Tue Jan 12 12:05:10 2021 relations with 3 large ideals: 23349781
  140. Tue Jan 12 12:05:10 2021 relations with 4 large ideals: 8904747
  141. Tue Jan 12 12:05:10 2021 relations with 5 large ideals: 1686248
  142. Tue Jan 12 12:05:10 2021 relations with 6 large ideals: 171274
  143. Tue Jan 12 12:05:10 2021 relations with 7+ large ideals: 10775
  144. Tue Jan 12 12:05:10 2021 commencing 2-way merge
  145. Tue Jan 12 12:05:30 2021 reduce to 50851340 relation sets and 28136863 unique ideals
  146. Tue Jan 12 12:05:30 2021 commencing full merge
  147. Tue Jan 12 12:08:42 2021 memory use: 2480.5 MB
  148. Tue Jan 12 12:08:44 2021 found 23449642 cycles, need 21293063
  149. Tue Jan 12 12:08:45 2021 weight of 21293063 cycles is about 2508102166 (117.79/cycle)
  150. Tue Jan 12 12:08:45 2021 distribution of cycle lengths:
  151. Tue Jan 12 12:08:45 2021 1 relations: 3838235
  152. Tue Jan 12 12:08:45 2021 2 relations: 1550548
  153. Tue Jan 12 12:08:45 2021 3 relations: 1260120
  154. Tue Jan 12 12:08:45 2021 4 relations: 1149537
  155. Tue Jan 12 12:08:45 2021 5 relations: 1113989
  156. Tue Jan 12 12:08:45 2021 6 relations: 1079357
  157. Tue Jan 12 12:08:45 2021 7 relations: 1060675
  158. Tue Jan 12 12:08:45 2021 8 relations: 1033565
  159. Tue Jan 12 12:08:45 2021 9 relations: 1009135
  160. Tue Jan 12 12:08:45 2021 10+ relations: 8197902
  161. Tue Jan 12 12:08:45 2021 heaviest cycle: 25 relations
  162. Tue Jan 12 12:08:46 2021 commencing cycle optimization
  163. Tue Jan 12 12:09:09 2021 start with 170842438 relations
  164. Tue Jan 12 12:13:09 2021 pruned 12517434 relations
  165. Tue Jan 12 12:13:09 2021 memory use: 4546.6 MB
  166. Tue Jan 12 12:13:09 2021 distribution of cycle lengths:
  167. Tue Jan 12 12:13:09 2021 1 relations: 3838235
  168. Tue Jan 12 12:13:09 2021 2 relations: 1611243
  169. Tue Jan 12 12:13:09 2021 3 relations: 1339194
  170. Tue Jan 12 12:13:09 2021 4 relations: 1232881
  171. Tue Jan 12 12:13:09 2021 5 relations: 1215467
  172. Tue Jan 12 12:13:09 2021 6 relations: 1187712
  173. Tue Jan 12 12:13:09 2021 7 relations: 1178946
  174. Tue Jan 12 12:13:09 2021 8 relations: 1151334
  175. Tue Jan 12 12:13:09 2021 9 relations: 1125776
  176. Tue Jan 12 12:13:09 2021 10+ relations: 7412275
  177. Tue Jan 12 12:13:09 2021 heaviest cycle: 25 relations
  178. Tue Jan 12 12:13:38 2021 RelProcTime: 5070
  179. Tue Jan 12 12:13:38 2021
  180. Tue Jan 12 12:13:38 2021 commencing linear algebra
  181. Tue Jan 12 12:13:40 2021 read 21293063 cycles
  182. Tue Jan 12 12:13:59 2021 cycles contain 70561240 unique relations
  183. Tue Jan 12 12:17:05 2021 read 70561240 relations
  184. Tue Jan 12 12:19:00 2021 using 20 quadratic characters above 4294917295
  185. Tue Jan 12 12:21:44 2021 building initial matrix
  186. Tue Jan 12 12:29:55 2021 memory use: 9186.0 MB
  187. Tue Jan 12 12:30:08 2021 read 21293063 cycles
  188. Tue Jan 12 12:30:12 2021 matrix is 21292547 x 21293063 (9365.7 MB) with weight 2668481083 (125.32/col)
  189. Tue Jan 12 12:30:12 2021 sparse part has weight 2220927108 (104.30/col)
  190. Tue Jan 12 12:33:30 2021 filtering completed in 3 passes
  191. Tue Jan 12 12:33:33 2021 matrix is 21282218 x 21282418 (9363.1 MB) with weight 2667703234 (125.35/col)
  192. Tue Jan 12 12:33:33 2021 sparse part has weight 2220375752 (104.33/col)
  193. Tue Jan 12 12:34:10 2021 matrix starts at (0, 0)
  194. Tue Jan 12 12:34:13 2021 matrix is 21282218 x 21282418 (9363.1 MB) with weight 2667703234 (125.35/col)
  195. Tue Jan 12 12:34:13 2021 sparse part has weight 2220375752 (104.33/col)
  196. Tue Jan 12 12:34:13 2021 saving the first 48 matrix rows for later
  197. Tue Jan 12 12:34:15 2021 matrix includes 64 packed rows
  198. Tue Jan 12 12:34:17 2021 matrix is 21282170 x 21282418 (8964.0 MB) with weight 2279326768 (107.10/col)
  199. Tue Jan 12 12:34:17 2021 sparse part has weight 2137024846 (100.41/col)
  200. Tue Jan 12 12:34:17 2021 using block size 8192 and superblock size 49152 for processor cache size 512 kB
  201. Tue Jan 12 12:35:08 2021 commencing Lanczos iteration (8 threads)
  202. Tue Jan 12 12:35:08 2021 memory use: 8724.4 MB
  203. Tue Jan 12 12:37:06 2021 linear algebra at 0.0%, ETA 439h10m
  204. Tue Jan 12 12:37:43 2021 checkpointing every 50000 dimensions
  205. Wed Jan 13 07:58:56 2021 lanczos halted after 14879 iterations (dim = 940879)
  206. Wed Jan 13 07:58:58 2021 BLanczosTime: 71120
  207. Wed Jan 13 07:58:58 2021
  208. Wed Jan 13 07:58:58 2021 commencing square root phase
  209. Wed Jan 13 07:58:58 2021 handling dependencies 1 to 64
  210. Wed Jan 13 07:58:58 2021 reading relations for dependency 1
  211. Wed Jan 13 07:58:58 2021 error: read_cycles can't open dependency file
  212. Wed Jan 13 19:43:01 2021
  213. Wed Jan 13 19:43:01 2021
  214. Wed Jan 13 19:43:01 2021 Msieve v. 1.54 (SVN unknown)
  215. Wed Jan 13 19:43:01 2021 random seeds: 100d890e fc4ff414
  216. Wed Jan 13 19:43:01 2021 factoring 404250459787344539338515539949515659293728226148002512220883605168021033585321664710470377761695385122373028004840012727168065880787792859302514730803936975524044035004165659977419478016779531 (192 digits)
  217. Wed Jan 13 19:43:02 2021 searching for 15-digit factors
  218. Wed Jan 13 19:43:02 2021 commencing number field sieve (192-digit input)
  219. Wed Jan 13 19:43:02 2021 R0: 704478611188123070096680133183862278830321
  220. Wed Jan 13 19:43:02 2021 R1: -1
  221. Wed Jan 13 19:43:02 2021 A0: -28971231269
  222. Wed Jan 13 19:43:02 2021 A1: 0
  223. Wed Jan 13 19:43:02 2021 A2: 0
  224. Wed Jan 13 19:43:02 2021 A3: 0
  225. Wed Jan 13 19:43:02 2021 A4: 0
  226. Wed Jan 13 19:43:02 2021 A5: 0
  227. Wed Jan 13 19:43:02 2021 A6: 1
  228. Wed Jan 13 19:43:02 2021 skew 55.42, size 2.242e-13, alpha 0.728, combined = 4.202e-14 rroots = 2
  229. Wed Jan 13 19:43:02 2021
  230. Wed Jan 13 19:43:02 2021 commencing linear algebra
  231. Wed Jan 13 19:43:07 2021 matrix starts at (0, 0)
  232. Wed Jan 13 19:43:11 2021 matrix is 21282218 x 21282418 (9363.1 MB) with weight 2667703234 (125.35/col)
  233. Wed Jan 13 19:43:11 2021 sparse part has weight 2220375752 (104.33/col)
  234. Wed Jan 13 19:43:11 2021 saving the first 48 matrix rows for later
  235. Wed Jan 13 19:43:14 2021 matrix includes 64 packed rows
  236. Wed Jan 13 19:43:15 2021 matrix is 21282170 x 21282418 (8964.0 MB) with weight 2279326768 (107.10/col)
  237. Wed Jan 13 19:43:15 2021 sparse part has weight 2137024846 (100.41/col)
  238. Wed Jan 13 19:43:15 2021 using block size 8192 and superblock size 49152 for processor cache size 512 kB
  239. Wed Jan 13 19:44:04 2021 commencing Lanczos iteration (8 threads)
  240. Wed Jan 13 19:44:04 2021 memory use: 8724.4 MB
  241. Wed Jan 13 19:44:05 2021 restarting at iteration 14879 (dim = 940879)
  242. Wed Jan 13 19:45:29 2021 checkpointing every 50000 dimensions
  243. Wed Jan 13 19:45:58 2021 linear algebra at 4.4%, ETA 419h12m
  244. Sun Jan 31 09:08:04 2021 lanczos halted after 336560 iterations (dim = 21282164)
  245. Sun Jan 31 09:08:22 2021 recovered 35 nontrivial dependencies
  246. Sun Jan 31 09:08:25 2021 BLanczosTime: 1517123
  247. Sun Jan 31 09:08:25 2021
  248. Sun Jan 31 09:08:25 2021 commencing square root phase
  249. Sun Jan 31 09:08:25 2021 reading relations for dependency 1
  250. Sun Jan 31 09:08:27 2021 read 10643736 cycles
  251. Sun Jan 31 09:08:37 2021 cycles contain 35284962 unique relations
  252. Sun Jan 31 09:10:27 2021 read 35284962 relations
  253. Sun Jan 31 09:11:57 2021 multiplying 35284962 relations
  254. Sun Jan 31 09:27:31 2021 multiply complete, coefficients have about 1031.61 million bits
  255. Sun Jan 31 09:27:33 2021 initial square root is modulo 1799160367
  256. Sun Jan 31 09:42:41 2021 sqrtTime: 2056
  257. Sun Jan 31 09:42:41 2021 p94 factor: 1855443832547749360753006049043943526826457672063764384875065020884103522878566239001386859951
  258. Sun Jan 31 09:42:41 2021 p99 factor: 217872647339725526130944479631974314962905285039876572610167540041539249708247666411518787898548581
  259. Sun Jan 31 09:42:41 2021 elapsed time 421:59:40
  260.  
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