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  1. Thu Nov 9 12:20:32 2017
  2. Thu Nov 9 12:20:32 2017
  3. Thu Nov 9 12:20:32 2017 Msieve v. 1.53 (SVN 993M)
  4. Thu Nov 9 12:20:32 2017 random seeds: 6569145c 54f3306a
  5. Thu Nov 9 12:20:32 2017 MPI process 0 of 1
  6. Thu Nov 9 12:20:32 2017 factoring 251038195988045898600953315032429333639309555389212960413681197162218022181654170988435137749941172615502169056985465271548235503369507875117086731486571359512513617883253795784956569734210177673119844434553825369404441 (219 digits)
  7. Thu Nov 9 12:20:34 2017 no P-1/P+1/ECM available, skipping
  8. Thu Nov 9 12:20:34 2017 commencing number field sieve (219-digit input)
  9. Thu Nov 9 12:20:34 2017 R0: 572075719290556693384652005928556009754405080399872
  10. Thu Nov 9 12:20:34 2017 R1: -97862157334118736160267353892330031361
  11. Thu Nov 9 12:20:34 2017 A0: 382743
  12. Thu Nov 9 12:20:34 2017 A1: 0
  13. Thu Nov 9 12:20:34 2017 A2: 0
  14. Thu Nov 9 12:20:34 2017 A3: 0
  15. Thu Nov 9 12:20:34 2017 A4: 0
  16. Thu Nov 9 12:20:34 2017 A5: 8
  17. Thu Nov 9 12:20:34 2017 skew 8.63, size 8.405e-18, alpha -0.943, combined = 4.700e-14 rroots = 1
  18. Thu Nov 9 12:20:34 2017
  19. Thu Nov 9 12:20:34 2017 commencing relation filtering
  20. Thu Nov 9 12:20:34 2017 setting target matrix density to 130.0
  21. Thu Nov 9 12:20:34 2017 estimated available RAM is 258443.6 MB
  22. Thu Nov 9 12:20:34 2017 commencing duplicate removal, pass 1
  23. Thu Nov 9 13:16:35 2017 skipped 204 relations with b > 2^32
  24. Thu Nov 9 13:16:35 2017 skipped 3589 relations with composite factors
  25. Thu Nov 9 13:16:35 2017 found 53534444 hash collisions in 373124897 relations
  26. Thu Nov 9 13:17:05 2017 added 731071 free relations
  27. Thu Nov 9 13:17:05 2017 commencing duplicate removal, pass 2
  28. Thu Nov 9 13:24:29 2017 found 35900214 duplicates and 337955754 unique relations
  29. Thu Nov 9 13:24:29 2017 memory use: 1321.5 MB
  30. Thu Nov 9 13:24:30 2017 reading ideals above 720000
  31. Thu Nov 9 13:24:30 2017 commencing singleton removal, initial pass
  32. Thu Nov 9 14:19:12 2017 memory use: 6024.0 MB
  33. Thu Nov 9 14:19:14 2017 reading all ideals from disk
  34. Thu Nov 9 14:35:01 2017 memory use: 13997.4 MB
  35. Thu Nov 9 14:37:44 2017 keeping 323686149 ideals with weight <= 200, target excess is 1839005
  36. Thu Nov 9 14:38:38 2017 commencing in-memory singleton removal
  37. Thu Nov 9 14:39:09 2017 begin with 337955754 relations and 323686149 unique ideals
  38. Thu Nov 9 14:45:16 2017 reduce to 192362530 relations and 160224718 ideals in 16 passes
  39. Thu Nov 9 14:45:16 2017 max relations containing the same ideal: 147
  40. Thu Nov 9 14:46:38 2017 removing 14244617 relations and 12244617 ideals in 2000000 cliques
  41. Thu Nov 9 14:46:44 2017 commencing in-memory singleton removal
  42. Thu Nov 9 14:46:55 2017 begin with 178117913 relations and 160224718 unique ideals
  43. Thu Nov 9 14:48:43 2017 reduce to 177358605 relations and 147210393 ideals in 9 passes
  44. Thu Nov 9 14:48:43 2017 max relations containing the same ideal: 141
  45. Thu Nov 9 14:49:51 2017 removing 10601303 relations and 8601303 ideals in 2000000 cliques
  46. Thu Nov 9 14:49:55 2017 commencing in-memory singleton removal
  47. Thu Nov 9 14:50:06 2017 begin with 166757302 relations and 147210393 unique ideals
  48. Thu Nov 9 14:51:35 2017 reduce to 166274058 relations and 138120216 ideals in 8 passes
  49. Thu Nov 9 14:51:35 2017 max relations containing the same ideal: 138
  50. Thu Nov 9 14:52:39 2017 removing 9462818 relations and 7462818 ideals in 2000000 cliques
  51. Thu Nov 9 14:52:43 2017 commencing in-memory singleton removal
  52. Thu Nov 9 14:52:53 2017 begin with 156811240 relations and 138120216 unique ideals
  53. Thu Nov 9 14:54:18 2017 reduce to 156396517 relations and 130237883 ideals in 8 passes
  54. Thu Nov 9 14:54:18 2017 max relations containing the same ideal: 133
  55. Thu Nov 9 14:55:19 2017 removing 8845122 relations and 6845122 ideals in 2000000 cliques
  56. Thu Nov 9 14:55:23 2017 commencing in-memory singleton removal
  57. Thu Nov 9 14:55:32 2017 begin with 147551395 relations and 130237883 unique ideals
  58. Thu Nov 9 14:56:50 2017 reduce to 147165239 relations and 123002021 ideals in 8 passes
  59. Thu Nov 9 14:56:50 2017 max relations containing the same ideal: 127
  60. Thu Nov 9 14:57:48 2017 removing 8444899 relations and 6444899 ideals in 2000000 cliques
  61. Thu Nov 9 14:57:52 2017 commencing in-memory singleton removal
  62. Thu Nov 9 14:58:00 2017 begin with 138720340 relations and 123002021 unique ideals
  63. Thu Nov 9 14:59:04 2017 reduce to 138346604 relations and 116178838 ideals in 7 passes
  64. Thu Nov 9 14:59:04 2017 max relations containing the same ideal: 124
  65. Thu Nov 9 14:59:58 2017 removing 8171097 relations and 6171097 ideals in 2000000 cliques
  66. Thu Nov 9 15:00:02 2017 commencing in-memory singleton removal
  67. Thu Nov 9 15:00:10 2017 begin with 130175507 relations and 116178838 unique ideals
  68. Thu Nov 9 15:01:18 2017 reduce to 129806351 relations and 109633866 ideals in 8 passes
  69. Thu Nov 9 15:01:18 2017 max relations containing the same ideal: 117
  70. Thu Nov 9 15:02:09 2017 removing 7976009 relations and 5976009 ideals in 2000000 cliques
  71. Thu Nov 9 15:02:13 2017 commencing in-memory singleton removal
  72. Thu Nov 9 15:02:20 2017 begin with 121830342 relations and 109633866 unique ideals
  73. Thu Nov 9 15:03:17 2017 reduce to 121459520 relations and 103282013 ideals in 7 passes
  74. Thu Nov 9 15:03:17 2017 max relations containing the same ideal: 111
  75. Thu Nov 9 15:04:05 2017 removing 7831024 relations and 5831024 ideals in 2000000 cliques
  76. Thu Nov 9 15:04:08 2017 commencing in-memory singleton removal
  77. Thu Nov 9 15:04:15 2017 begin with 113628496 relations and 103282013 unique ideals
  78. Thu Nov 9 15:05:07 2017 reduce to 113247299 relations and 97064419 ideals in 7 passes
  79. Thu Nov 9 15:05:07 2017 max relations containing the same ideal: 103
  80. Thu Nov 9 15:05:52 2017 removing 7732062 relations and 5732062 ideals in 2000000 cliques
  81. Thu Nov 9 15:05:55 2017 commencing in-memory singleton removal
  82. Thu Nov 9 15:06:02 2017 begin with 105515237 relations and 97064419 unique ideals
  83. Thu Nov 9 15:06:50 2017 reduce to 105118971 relations and 90929938 ideals in 7 passes
  84. Thu Nov 9 15:06:50 2017 max relations containing the same ideal: 99
  85. Thu Nov 9 15:07:32 2017 removing 7665569 relations and 5665569 ideals in 2000000 cliques
  86. Thu Nov 9 15:07:35 2017 commencing in-memory singleton removal
  87. Thu Nov 9 15:07:40 2017 begin with 97453402 relations and 90929938 unique ideals
  88. Thu Nov 9 15:08:31 2017 reduce to 97036397 relations and 84840521 ideals in 8 passes
  89. Thu Nov 9 15:08:31 2017 max relations containing the same ideal: 95
  90. Thu Nov 9 15:09:10 2017 removing 7626142 relations and 5626142 ideals in 2000000 cliques
  91. Thu Nov 9 15:09:13 2017 commencing in-memory singleton removal
  92. Thu Nov 9 15:09:18 2017 begin with 89410255 relations and 84840521 unique ideals
  93. Thu Nov 9 15:10:10 2017 reduce to 88966650 relations and 78762997 ideals in 9 passes
  94. Thu Nov 9 15:10:10 2017 max relations containing the same ideal: 89
  95. Thu Nov 9 15:10:46 2017 removing 7614018 relations and 5614018 ideals in 2000000 cliques
  96. Thu Nov 9 15:10:49 2017 commencing in-memory singleton removal
  97. Thu Nov 9 15:10:54 2017 begin with 81352632 relations and 78762997 unique ideals
  98. Thu Nov 9 15:11:35 2017 reduce to 80871215 relations and 72658391 ideals in 8 passes
  99. Thu Nov 9 15:11:35 2017 max relations containing the same ideal: 81
  100. Thu Nov 9 15:12:08 2017 removing 7631212 relations and 5631212 ideals in 2000000 cliques
  101. Thu Nov 9 15:12:11 2017 commencing in-memory singleton removal
  102. Thu Nov 9 15:12:15 2017 begin with 73240003 relations and 72658391 unique ideals
  103. Thu Nov 9 15:12:52 2017 reduce to 72709089 relations and 66485132 ideals in 8 passes
  104. Thu Nov 9 15:12:52 2017 max relations containing the same ideal: 76
  105. Thu Nov 9 15:13:22 2017 removing 7672506 relations and 5672506 ideals in 2000000 cliques
  106. Thu Nov 9 15:13:24 2017 commencing in-memory singleton removal
  107. Thu Nov 9 15:13:28 2017 begin with 65036583 relations and 66485132 unique ideals
  108. Thu Nov 9 15:14:00 2017 reduce to 64434016 relations and 60196110 ideals in 8 passes
  109. Thu Nov 9 15:14:00 2017 max relations containing the same ideal: 71
  110. Thu Nov 9 15:14:27 2017 removing 7745278 relations and 5745278 ideals in 2000000 cliques
  111. Thu Nov 9 15:14:29 2017 commencing in-memory singleton removal
  112. Thu Nov 9 15:14:33 2017 begin with 56688738 relations and 60196110 unique ideals
  113. Thu Nov 9 15:15:01 2017 reduce to 55988900 relations and 53732842 ideals in 8 passes
  114. Thu Nov 9 15:15:01 2017 max relations containing the same ideal: 66
  115. Thu Nov 9 15:15:24 2017 removing 802969 relations and 680157 ideals in 122812 cliques
  116. Thu Nov 9 15:15:26 2017 commencing in-memory singleton removal
  117. Thu Nov 9 15:15:29 2017 begin with 55185931 relations and 53732842 unique ideals
  118. Thu Nov 9 15:15:49 2017 reduce to 55178766 relations and 53045493 ideals in 6 passes
  119. Thu Nov 9 15:15:49 2017 max relations containing the same ideal: 66
  120. Thu Nov 9 15:16:00 2017 relations with 0 large ideals: 33938
  121. Thu Nov 9 15:16:00 2017 relations with 1 large ideals: 54395
  122. Thu Nov 9 15:16:00 2017 relations with 2 large ideals: 655221
  123. Thu Nov 9 15:16:00 2017 relations with 3 large ideals: 3351895
  124. Thu Nov 9 15:16:00 2017 relations with 4 large ideals: 9098897
  125. Thu Nov 9 15:16:00 2017 relations with 5 large ideals: 14462867
  126. Thu Nov 9 15:16:00 2017 relations with 6 large ideals: 14555054
  127. Thu Nov 9 15:16:00 2017 relations with 7+ large ideals: 12966499
  128. Thu Nov 9 15:16:00 2017 commencing 2-way merge
  129. Thu Nov 9 15:16:29 2017 reduce to 34088409 relation sets and 31955136 unique ideals
  130. Thu Nov 9 15:16:29 2017 commencing full merge
  131. Thu Nov 9 15:30:47 2017 memory use: 4000.2 MB
  132. Thu Nov 9 15:30:53 2017 found 15111069 cycles, need 14965336
  133. Thu Nov 9 15:30:59 2017 weight of 14965336 cycles is about 1946071476 (130.04/cycle)
  134. Thu Nov 9 15:30:59 2017 distribution of cycle lengths:
  135. Thu Nov 9 15:30:59 2017 1 relations: 753681
  136. Thu Nov 9 15:30:59 2017 2 relations: 914340
  137. Thu Nov 9 15:30:59 2017 3 relations: 1011046
  138. Thu Nov 9 15:30:59 2017 4 relations: 1027690
  139. Thu Nov 9 15:30:59 2017 5 relations: 1038715
  140. Thu Nov 9 15:30:59 2017 6 relations: 1027327
  141. Thu Nov 9 15:30:59 2017 7 relations: 1012523
  142. Thu Nov 9 15:30:59 2017 8 relations: 973260
  143. Thu Nov 9 15:30:59 2017 9 relations: 923734
  144. Thu Nov 9 15:30:59 2017 10+ relations: 6283020
  145. Thu Nov 9 15:30:59 2017 heaviest cycle: 28 relations
  146. Thu Nov 9 15:31:07 2017 commencing cycle optimization
  147. Thu Nov 9 15:31:41 2017 start with 135905856 relations
  148. Thu Nov 9 15:37:53 2017 pruned 5993098 relations
  149. Thu Nov 9 15:37:53 2017 memory use: 3647.4 MB
  150. Thu Nov 9 15:37:53 2017 distribution of cycle lengths:
  151. Thu Nov 9 15:37:53 2017 1 relations: 753681
  152. Thu Nov 9 15:37:53 2017 2 relations: 937370
  153. Thu Nov 9 15:37:53 2017 3 relations: 1052839
  154. Thu Nov 9 15:37:53 2017 4 relations: 1069688
  155. Thu Nov 9 15:37:53 2017 5 relations: 1088392
  156. Thu Nov 9 15:37:53 2017 6 relations: 1074996
  157. Thu Nov 9 15:37:53 2017 7 relations: 1063506
  158. Thu Nov 9 15:37:53 2017 8 relations: 1019231
  159. Thu Nov 9 15:37:53 2017 9 relations: 967832
  160. Thu Nov 9 15:37:53 2017 10+ relations: 5937801
  161. Thu Nov 9 15:37:53 2017 heaviest cycle: 28 relations
  162. Thu Nov 9 15:38:51 2017 RelProcTime: 11897
  163. Thu Nov 9 15:38:51 2017 elapsed time 03:18:19
  164. Thu Nov 9 15:53:08 2017
  165. Thu Nov 9 15:53:08 2017
  166. Thu Nov 9 15:53:08 2017 Msieve v. 1.53 (SVN 993M)
  167. Thu Nov 9 15:53:08 2017 random seeds: fb9d216b 48a97df0
  168. Thu Nov 9 15:53:08 2017 MPI process 0 of 8
  169. Thu Nov 9 15:53:08 2017 factoring 251038195988045898600953315032429333639309555389212960413681197162218022181654170988435137749941172615502169056985465271548235503369507875117086731486571359512513617883253795784956569734210177673119844434553825369404441 (219 digits)
  170. Thu Nov 9 15:53:10 2017 no P-1/P+1/ECM available, skipping
  171. Thu Nov 9 15:53:10 2017 commencing number field sieve (219-digit input)
  172. Thu Nov 9 15:53:10 2017 R0: 572075719290556693384652005928556009754405080399872
  173. Thu Nov 9 15:53:10 2017 R1: -97862157334118736160267353892330031361
  174. Thu Nov 9 15:53:10 2017 A0: 382743
  175. Thu Nov 9 15:53:10 2017 A1: 0
  176. Thu Nov 9 15:53:10 2017 A2: 0
  177. Thu Nov 9 15:53:10 2017 A3: 0
  178. Thu Nov 9 15:53:10 2017 A4: 0
  179. Thu Nov 9 15:53:10 2017 A5: 8
  180. Thu Nov 9 15:53:10 2017 skew 8.63, size 8.405e-18, alpha -0.943, combined = 4.700e-14 rroots = 1
  181. Thu Nov 9 15:53:10 2017
  182. Thu Nov 9 15:53:10 2017 commencing linear algebra
  183. Thu Nov 9 15:53:10 2017 initialized process (0,0) of 2 x 4 grid
  184. Thu Nov 9 15:53:26 2017 read 14965336 cycles
  185. Thu Nov 9 15:53:57 2017 cycles contain 53952417 unique relations
  186. Thu Nov 9 16:05:58 2017 read 53952417 relations
  187. Thu Nov 9 16:07:23 2017 using 20 quadratic characters above 4294917295
  188. Thu Nov 9 16:11:22 2017 building initial matrix
  189. Thu Nov 9 16:25:34 2017 memory use: 7004.5 MB
  190. Thu Nov 9 16:26:06 2017 read 14965336 cycles
  191. Thu Nov 9 16:26:09 2017 matrix is 14965158 x 14965336 (7544.8 MB) with weight 2191016398 (146.41/col)
  192. Thu Nov 9 16:26:09 2017 sparse part has weight 1813195037 (121.16/col)
  193. Thu Nov 9 16:29:51 2017 filtering completed in 2 passes
  194. Thu Nov 9 16:29:55 2017 matrix is 14964288 x 14964466 (7544.7 MB) with weight 2190977400 (146.41/col)
  195. Thu Nov 9 16:29:55 2017 sparse part has weight 1813178608 (121.17/col)
  196. Thu Nov 9 16:36:53 2017 matrix starts at (0, 0)
  197. Thu Nov 9 16:36:54 2017 matrix is 7482200 x 3469664 (1034.1 MB) with weight 318617131 (91.83/col)
  198. Thu Nov 9 16:36:54 2017 sparse part has weight 232908540 (67.13/col)
  199. Thu Nov 9 16:36:54 2017 saving the first 48 matrix rows for later
  200. Thu Nov 9 16:36:54 2017 matrix includes 64 packed rows
  201. Thu Nov 9 16:39:32 2017 matrix is 7482152 x 3469664 (973.6 MB) with weight 254387590 (73.32/col)
  202. Thu Nov 9 16:39:32 2017 sparse part has weight 220520881 (63.56/col)
  203. Thu Nov 9 16:39:32 2017 using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
  204. Thu Nov 9 16:39:41 2017 commencing Lanczos iteration (20 threads)
  205. Thu Nov 9 16:39:41 2017 memory use: 879.1 MB
  206. Thu Nov 9 16:39:49 2017 linear algebra at 0.0%, ETA 16h28m
  207. Thu Nov 9 16:39:51 2017 checkpointing every 910000 dimensions
  208. Fri Nov 10 12:02:18 2017 lanczos halted after 236647 iterations (dim = 14964235)
  209. Fri Nov 10 12:02:33 2017 recovered 36 nontrivial dependencies
  210. Fri Nov 10 12:02:44 2017 BLanczosTime: 72574
  211. Fri Nov 10 12:02:44 2017 elapsed time 20:09:36
  212. Fri Nov 10 12:02:48 2017
  213. Fri Nov 10 12:02:48 2017
  214. Fri Nov 10 12:02:48 2017 Msieve v. 1.53 (SVN 993M)
  215. Fri Nov 10 12:02:48 2017 random seeds: 0e5e0372 09401cd7
  216. Fri Nov 10 12:02:48 2017 MPI process 0 of 1
  217. Fri Nov 10 12:02:48 2017 factoring 251038195988045898600953315032429333639309555389212960413681197162218022181654170988435137749941172615502169056985465271548235503369507875117086731486571359512513617883253795784956569734210177673119844434553825369404441 (219 digits)
  218. Fri Nov 10 12:02:49 2017 no P-1/P+1/ECM available, skipping
  219. Fri Nov 10 12:02:50 2017 commencing number field sieve (219-digit input)
  220. Fri Nov 10 12:02:50 2017 R0: 572075719290556693384652005928556009754405080399872
  221. Fri Nov 10 12:02:50 2017 R1: -97862157334118736160267353892330031361
  222. Fri Nov 10 12:02:50 2017 A0: 382743
  223. Fri Nov 10 12:02:50 2017 A1: 0
  224. Fri Nov 10 12:02:50 2017 A2: 0
  225. Fri Nov 10 12:02:50 2017 A3: 0
  226. Fri Nov 10 12:02:50 2017 A4: 0
  227. Fri Nov 10 12:02:50 2017 A5: 8
  228. Fri Nov 10 12:02:50 2017 skew 8.63, size 8.405e-18, alpha -0.943, combined = 4.700e-14 rroots = 1
  229. Fri Nov 10 12:02:50 2017
  230. Fri Nov 10 12:02:50 2017 commencing square root phase
  231. Fri Nov 10 12:02:50 2017 reading relations for dependency 1
  232. Fri Nov 10 12:03:07 2017 read 7482569 cycles
  233. Fri Nov 10 12:03:21 2017 cycles contain 26981462 unique relations
  234. Fri Nov 10 12:10:56 2017 read 26981462 relations
  235. Fri Nov 10 12:12:41 2017 multiplying 26981462 relations
  236. Fri Nov 10 12:29:01 2017 multiply complete, coefficients have about 833.07 million bits
  237. Fri Nov 10 12:29:04 2017 initial square root is modulo 29777581
  238. Fri Nov 10 12:47:06 2017 GCD is N, no factor found
  239. Fri Nov 10 12:47:06 2017 reading relations for dependency 2
  240. Fri Nov 10 12:47:07 2017 read 7483055 cycles
  241. Fri Nov 10 12:47:21 2017 cycles contain 26975260 unique relations
  242. Fri Nov 10 12:54:55 2017 read 26975260 relations
  243. Fri Nov 10 12:56:52 2017 multiplying 26975260 relations
  244. Fri Nov 10 13:13:10 2017 multiply complete, coefficients have about 832.88 million bits
  245. Fri Nov 10 13:13:13 2017 initial square root is modulo 29657821
  246. Fri Nov 10 13:31:08 2017 GCD is 1, no factor found
  247. Fri Nov 10 13:31:08 2017 reading relations for dependency 3
  248. Fri Nov 10 13:31:10 2017 read 7483292 cycles
  249. Fri Nov 10 13:31:24 2017 cycles contain 26980878 unique relations
  250. Fri Nov 10 13:38:57 2017 read 26980878 relations
  251. Fri Nov 10 13:40:55 2017 multiplying 26980878 relations
  252. Fri Nov 10 13:57:12 2017 multiply complete, coefficients have about 833.04 million bits
  253. Fri Nov 10 13:57:56 2017 initial square root is modulo 29762191
  254. Fri Nov 10 14:15:52 2017 GCD is N, no factor found
  255. Fri Nov 10 14:15:52 2017 reading relations for dependency 4
  256. Fri Nov 10 14:15:53 2017 read 7481370 cycles
  257. Fri Nov 10 14:16:07 2017 cycles contain 26963872 unique relations
  258. Fri Nov 10 14:23:41 2017 read 26963872 relations
  259. Fri Nov 10 14:25:38 2017 multiplying 26963872 relations
  260. Fri Nov 10 14:41:55 2017 multiply complete, coefficients have about 832.53 million bits
  261. Fri Nov 10 14:41:57 2017 initial square root is modulo 29448241
  262. Fri Nov 10 14:59:59 2017 sqrtTime: 10629
  263. Fri Nov 10 14:59:59 2017 p69 factor: 127248582705636295262223321515707110760310839328955766225545980387203
  264. Fri Nov 10 14:59:59 2017 p151 factor: 1972817226332270325671330134390150640492940660248019964275608419455699208331575696444232449903424053815709819941387544692731862248556552715761189015347
  265. Fri Nov 10 14:59:59 2017 elapsed time 02:57:11
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