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  1. Thu Sep 29 12:26:54 2016  
  2. Thu Sep 29 12:26:54 2016  
  3. Thu Sep 29 12:26:54 2016  Msieve v. 1.53 (SVN 993M)
  4. Thu Sep 29 12:26:54 2016  random seeds: 66a5fba1 05c326a2
  5. Thu Sep 29 12:26:54 2016  MPI process 0 of 1
  6. Thu Sep 29 12:26:54 2016  factoring 15814388014630099871350267206841899307664108464325022332405193570226368540694204962321006451592526876805875552005812713333798645095922817792712725160265120941083503968823384277703359501941101 (191 digits)
  7. Thu Sep 29 12:26:55 2016  no P-1/P+1/ECM available, skipping
  8. Thu Sep 29 12:26:55 2016  commencing number field sieve (191-digit input)
  9. Thu Sep 29 12:26:55 2016  R0: -4721858189165321598018257008553057545
  10. Thu Sep 29 12:26:55 2016  R1: 332711067448509713
  11. Thu Sep 29 12:26:55 2016  A0: -2454098753605713421240247553987967161968681088
  12. Thu Sep 29 12:26:55 2016  A1: 408768052587994987043048819742542285088
  13. Thu Sep 29 12:26:55 2016  A2: 16342069276322769158134755464654
  14. Thu Sep 29 12:26:55 2016  A3: -86916844769189283067199
  15. Thu Sep 29 12:26:55 2016  A4: -2130430393046538
  16. Thu Sep 29 12:26:55 2016  A5: 6737328
  17. Thu Sep 29 12:26:55 2016  skew 86133912.09, size 1.287e-18, alpha -7.980, combined = 2.028e-14 rroots = 5
  18. Thu Sep 29 12:26:55 2016  
  19. Thu Sep 29 12:26:55 2016  commencing relation filtering
  20. Thu Sep 29 12:26:55 2016  setting target matrix density to 130.0
  21. Thu Sep 29 12:26:55 2016  estimated available RAM is 64522.8 MB
  22. Thu Sep 29 12:26:55 2016  commencing duplicate removal, pass 1
  23. Thu Sep 29 12:35:50 2016  error -11 reading relation 35800357
  24. Thu Sep 29 12:47:23 2016  error -15 reading relation 82223791
  25. Thu Sep 29 13:29:34 2016  error -15 reading relation 251275169
  26. Thu Sep 29 14:03:05 2016  error -11 reading relation 385072639
  27. Thu Sep 29 14:06:40 2016  error -15 reading relation 399436522
  28. Thu Sep 29 14:37:51 2016  error -15 reading relation 524350352
  29. Thu Sep 29 15:22:49 2016  error -15 reading relation 704604187
  30. Thu Sep 29 15:24:50 2016  error -11 reading relation 712724927
  31. Thu Sep 29 15:30:37 2016  error -15 reading relation 735856714
  32. Thu Sep 29 15:57:22 2016  skipped 4 relations with composite factors
  33. Thu Sep 29 15:57:22 2016  found 168110565 hash collisions in 842841818 relations
  34. Thu Sep 29 15:57:52 2016  added 121844 free relations
  35. Thu Sep 29 15:57:52 2016  commencing duplicate removal, pass 2
  36. Thu Sep 29 17:35:45 2016  found 87253409 duplicates and 755710253 unique relations
  37. Thu Sep 29 17:35:45 2016  memory use: 4518.0 MB
  38. Thu Sep 29 17:35:45 2016  reading ideals above 365494272
  39. Thu Sep 29 17:35:45 2016  commencing singleton removal, initial pass
  40. Thu Sep 29 20:28:21 2016  memory use: 11024.0 MB
  41. Thu Sep 29 20:28:21 2016  reading all ideals from disk
  42. Thu Sep 29 20:30:39 2016  memory use: 13876.6 MB
  43. Thu Sep 29 20:31:08 2016  commencing in-memory singleton removal
  44. Thu Sep 29 20:31:33 2016  begin with 755710253 relations and 613261409 unique ideals
  45. Thu Sep 29 20:36:43 2016  reduce to 513039691 relations and 347380795 ideals in 14 passes
  46. Thu Sep 29 20:36:43 2016  max relations containing the same ideal: 37
  47. Thu Sep 29 20:37:32 2016  reading ideals above 720000
  48. Thu Sep 29 20:37:33 2016  commencing singleton removal, initial pass
  49. Thu Sep 29 23:16:40 2016  memory use: 11024.0 MB
  50. Thu Sep 29 23:16:40 2016  reading all ideals from disk
  51. Thu Sep 29 23:20:19 2016  memory use: 22006.2 MB
  52. Thu Sep 29 23:21:35 2016  keeping 383436911 ideals with weight <= 200, target excess is 3126751
  53. Thu Sep 29 23:22:59 2016  commencing in-memory singleton removal
  54. Thu Sep 29 23:23:30 2016  begin with 513039691 relations and 383436911 unique ideals
  55. Thu Sep 29 23:27:25 2016  reduce to 513038038 relations and 383435258 ideals in 7 passes
  56. Thu Sep 29 23:27:25 2016  max relations containing the same ideal: 200
  57. Thu Sep 29 23:30:05 2016  removing 13501275 relations and 11501275 ideals in 2000000 cliques
  58. Thu Sep 29 23:30:14 2016  commencing in-memory singleton removal
  59. Thu Sep 29 23:30:44 2016  begin with 499536763 relations and 383435258 unique ideals
  60. Thu Sep 29 23:35:09 2016  reduce to 499284215 relations and 371679998 ideals in 8 passes
  61. Thu Sep 29 23:35:09 2016  max relations containing the same ideal: 200
  62. Thu Sep 29 23:37:45 2016  removing 10211686 relations and 8211686 ideals in 2000000 cliques
  63. Thu Sep 29 23:37:54 2016  commencing in-memory singleton removal
  64. Thu Sep 29 23:38:22 2016  begin with 489072529 relations and 371679998 unique ideals
  65. Thu Sep 29 23:42:07 2016  reduce to 488909673 relations and 363304662 ideals in 7 passes
  66. Thu Sep 29 23:42:07 2016  max relations containing the same ideal: 200
  67. Thu Sep 29 23:44:40 2016  removing 9151762 relations and 7151762 ideals in 2000000 cliques
  68. Thu Sep 29 23:44:49 2016  commencing in-memory singleton removal
  69. Thu Sep 29 23:45:17 2016  begin with 479757911 relations and 363304662 unique ideals
  70. Thu Sep 29 23:48:26 2016  reduce to 479620463 relations and 356014805 ideals in 6 passes
  71. Thu Sep 29 23:48:26 2016  max relations containing the same ideal: 200
  72. Thu Sep 29 23:50:57 2016  removing 8533088 relations and 6533088 ideals in 2000000 cliques
  73. Thu Sep 29 23:51:05 2016  commencing in-memory singleton removal
  74. Thu Sep 29 23:51:33 2016  begin with 471087375 relations and 356014805 unique ideals
  75. Thu Sep 29 23:54:38 2016  reduce to 470963719 relations and 349357525 ideals in 6 passes
  76. Thu Sep 29 23:54:38 2016  max relations containing the same ideal: 199
  77. Thu Sep 29 23:57:06 2016  removing 8108082 relations and 6108082 ideals in 2000000 cliques
  78. Thu Sep 29 23:57:14 2016  commencing in-memory singleton removal
  79. Thu Sep 29 23:57:41 2016  begin with 462855637 relations and 349357525 unique ideals
  80. Fri Sep 30 00:01:16 2016  reduce to 462740083 relations and 343133356 ideals in 7 passes
  81. Fri Sep 30 00:01:16 2016  max relations containing the same ideal: 196
  82. Fri Sep 30 00:03:42 2016  removing 7791222 relations and 5791222 ideals in 2000000 cliques
  83. Fri Sep 30 00:03:49 2016  commencing in-memory singleton removal
  84. Fri Sep 30 00:04:16 2016  begin with 454948861 relations and 343133356 unique ideals
  85. Fri Sep 30 00:07:45 2016  reduce to 454839967 relations and 337232727 ideals in 7 passes
  86. Fri Sep 30 00:07:45 2016  max relations containing the same ideal: 195
  87. Fri Sep 30 00:10:08 2016  removing 7549067 relations and 5549067 ideals in 2000000 cliques
  88. Fri Sep 30 00:10:16 2016  commencing in-memory singleton removal
  89. Fri Sep 30 00:10:42 2016  begin with 447290900 relations and 337232727 unique ideals
  90. Fri Sep 30 00:13:37 2016  reduce to 447186317 relations and 331578601 ideals in 6 passes
  91. Fri Sep 30 00:13:37 2016  max relations containing the same ideal: 193
  92. Fri Sep 30 00:15:58 2016  removing 7353347 relations and 5353347 ideals in 2000000 cliques
  93. Fri Sep 30 00:16:06 2016  commencing in-memory singleton removal
  94. Fri Sep 30 00:16:32 2016  begin with 439832970 relations and 331578601 unique ideals
  95. Fri Sep 30 00:19:52 2016  reduce to 439731828 relations and 326123641 ideals in 7 passes
  96. Fri Sep 30 00:19:52 2016  max relations containing the same ideal: 191
  97. Fri Sep 30 00:22:11 2016  removing 7192780 relations and 5192780 ideals in 2000000 cliques
  98. Fri Sep 30 00:22:19 2016  commencing in-memory singleton removal
  99. Fri Sep 30 00:22:44 2016  begin with 432539048 relations and 326123641 unique ideals
  100. Fri Sep 30 00:25:34 2016  reduce to 432439908 relations and 320831239 ideals in 6 passes
  101. Fri Sep 30 00:25:34 2016  max relations containing the same ideal: 191
  102. Fri Sep 30 00:27:51 2016  removing 7058200 relations and 5058200 ideals in 2000000 cliques
  103. Fri Sep 30 00:27:58 2016  commencing in-memory singleton removal
  104. Fri Sep 30 00:28:23 2016  begin with 425381708 relations and 320831239 unique ideals
  105. Fri Sep 30 00:31:10 2016  reduce to 425285168 relations and 315676004 ideals in 6 passes
  106. Fri Sep 30 00:31:10 2016  max relations containing the same ideal: 190
  107. Fri Sep 30 00:33:24 2016  removing 6945474 relations and 4945474 ideals in 2000000 cliques
  108. Fri Sep 30 00:33:31 2016  commencing in-memory singleton removal
  109. Fri Sep 30 00:33:56 2016  begin with 418339694 relations and 315676004 unique ideals
  110. Fri Sep 30 00:36:39 2016  reduce to 418244918 relations and 310635258 ideals in 6 passes
  111. Fri Sep 30 00:36:39 2016  max relations containing the same ideal: 187
  112. Fri Sep 30 00:38:52 2016  removing 6845697 relations and 4845697 ideals in 2000000 cliques
  113. Fri Sep 30 00:38:59 2016  commencing in-memory singleton removal
  114. Fri Sep 30 00:39:23 2016  begin with 411399221 relations and 310635258 unique ideals
  115. Fri Sep 30 00:42:04 2016  reduce to 411305473 relations and 305695298 ideals in 6 passes
  116. Fri Sep 30 00:42:04 2016  max relations containing the same ideal: 184
  117. Fri Sep 30 00:44:15 2016  removing 6757947 relations and 4757947 ideals in 2000000 cliques
  118. Fri Sep 30 00:44:22 2016  commencing in-memory singleton removal
  119. Fri Sep 30 00:44:45 2016  begin with 404547526 relations and 305695298 unique ideals
  120. Fri Sep 30 00:47:25 2016  reduce to 404454654 relations and 300843946 ideals in 6 passes
  121. Fri Sep 30 00:47:25 2016  max relations containing the same ideal: 182
  122. Fri Sep 30 00:49:34 2016  removing 6683316 relations and 4683316 ideals in 2000000 cliques
  123. Fri Sep 30 00:49:41 2016  commencing in-memory singleton removal
  124. Fri Sep 30 00:50:04 2016  begin with 397771338 relations and 300843946 unique ideals
  125. Fri Sep 30 00:52:14 2016  reduce to 397679497 relations and 296068259 ideals in 5 passes
  126. Fri Sep 30 00:52:14 2016  max relations containing the same ideal: 181
  127. Fri Sep 30 00:54:21 2016  removing 6617500 relations and 4617500 ideals in 2000000 cliques
  128. Fri Sep 30 00:54:27 2016  commencing in-memory singleton removal
  129. Fri Sep 30 00:54:50 2016  begin with 391061997 relations and 296068259 unique ideals
  130. Fri Sep 30 00:57:23 2016  reduce to 390969938 relations and 291358157 ideals in 6 passes
  131. Fri Sep 30 00:57:23 2016  max relations containing the same ideal: 179
  132. Fri Sep 30 00:59:27 2016  removing 6555417 relations and 4555417 ideals in 2000000 cliques
  133. Fri Sep 30 00:59:34 2016  commencing in-memory singleton removal
  134. Fri Sep 30 00:59:56 2016  begin with 384414521 relations and 291358157 unique ideals
  135. Fri Sep 30 01:02:26 2016  reduce to 384322171 relations and 286709832 ideals in 6 passes
  136. Fri Sep 30 01:02:26 2016  max relations containing the same ideal: 177
  137. Fri Sep 30 01:04:29 2016  removing 6505518 relations and 4505518 ideals in 2000000 cliques
  138. Fri Sep 30 01:04:35 2016  commencing in-memory singleton removal
  139. Fri Sep 30 01:04:57 2016  begin with 377816653 relations and 286709832 unique ideals
  140. Fri Sep 30 01:07:24 2016  reduce to 377724673 relations and 282111773 ideals in 6 passes
  141. Fri Sep 30 01:07:24 2016  max relations containing the same ideal: 174
  142. Fri Sep 30 01:09:25 2016  removing 6452766 relations and 4452766 ideals in 2000000 cliques
  143. Fri Sep 30 01:09:31 2016  commencing in-memory singleton removal
  144. Fri Sep 30 01:09:53 2016  begin with 371271907 relations and 282111773 unique ideals
  145. Fri Sep 30 01:12:19 2016  reduce to 371180600 relations and 277567093 ideals in 6 passes
  146. Fri Sep 30 01:12:19 2016  max relations containing the same ideal: 173
  147. Fri Sep 30 01:14:19 2016  removing 6411604 relations and 4411604 ideals in 2000000 cliques
  148. Fri Sep 30 01:14:25 2016  commencing in-memory singleton removal
  149. Fri Sep 30 01:14:46 2016  begin with 364768996 relations and 277567093 unique ideals
  150. Fri Sep 30 01:17:08 2016  reduce to 364677072 relations and 273062921 ideals in 6 passes
  151. Fri Sep 30 01:17:08 2016  max relations containing the same ideal: 172
  152. Fri Sep 30 01:19:04 2016  removing 6368587 relations and 4368587 ideals in 2000000 cliques
  153. Fri Sep 30 01:19:11 2016  commencing in-memory singleton removal
  154. Fri Sep 30 01:19:31 2016  begin with 358308485 relations and 273062921 unique ideals
  155. Fri Sep 30 01:21:51 2016  reduce to 358215905 relations and 268601051 ideals in 6 passes
  156. Fri Sep 30 01:21:51 2016  max relations containing the same ideal: 171
  157. Fri Sep 30 01:23:45 2016  removing 6338789 relations and 4338789 ideals in 2000000 cliques
  158. Fri Sep 30 01:23:51 2016  commencing in-memory singleton removal
  159. Fri Sep 30 01:24:12 2016  begin with 351877116 relations and 268601051 unique ideals
  160. Fri Sep 30 01:26:28 2016  reduce to 351784164 relations and 264168624 ideals in 6 passes
  161. Fri Sep 30 01:26:28 2016  max relations containing the same ideal: 168
  162. Fri Sep 30 01:28:21 2016  removing 6301099 relations and 4301099 ideals in 2000000 cliques
  163. Fri Sep 30 01:28:27 2016  commencing in-memory singleton removal
  164. Fri Sep 30 01:28:47 2016  begin with 345483065 relations and 264168624 unique ideals
  165. Fri Sep 30 01:30:39 2016  reduce to 345388969 relations and 259772724 ideals in 5 passes
  166. Fri Sep 30 01:30:39 2016  max relations containing the same ideal: 166
  167. Fri Sep 30 01:32:30 2016  removing 6275238 relations and 4275238 ideals in 2000000 cliques
  168. Fri Sep 30 01:32:35 2016  commencing in-memory singleton removal
  169. Fri Sep 30 01:32:55 2016  begin with 339113731 relations and 259772724 unique ideals
  170. Fri Sep 30 01:35:08 2016  reduce to 339018548 relations and 255401555 ideals in 6 passes
  171. Fri Sep 30 01:35:08 2016  max relations containing the same ideal: 163
  172. Fri Sep 30 01:36:57 2016  removing 6245880 relations and 4245880 ideals in 2000000 cliques
  173. Fri Sep 30 01:37:03 2016  commencing in-memory singleton removal
  174. Fri Sep 30 01:37:22 2016  begin with 332772668 relations and 255401555 unique ideals
  175. Fri Sep 30 01:39:10 2016  reduce to 332677917 relations and 251060171 ideals in 5 passes
  176. Fri Sep 30 01:39:10 2016  max relations containing the same ideal: 160
  177. Fri Sep 30 01:40:57 2016  removing 6225723 relations and 4225723 ideals in 2000000 cliques
  178. Fri Sep 30 01:41:02 2016  commencing in-memory singleton removal
  179. Fri Sep 30 01:41:21 2016  begin with 326452194 relations and 251060171 unique ideals
  180. Fri Sep 30 01:43:27 2016  reduce to 326354845 relations and 246736313 ideals in 6 passes
  181. Fri Sep 30 01:43:27 2016  max relations containing the same ideal: 158
  182. Fri Sep 30 01:45:12 2016  removing 6198839 relations and 4198839 ideals in 2000000 cliques
  183. Fri Sep 30 01:45:18 2016  commencing in-memory singleton removal
  184. Fri Sep 30 01:45:36 2016  begin with 320156006 relations and 246736313 unique ideals
  185. Fri Sep 30 01:47:40 2016  reduce to 320058989 relations and 242439609 ideals in 6 passes
  186. Fri Sep 30 01:47:40 2016  max relations containing the same ideal: 157
  187. Fri Sep 30 01:49:23 2016  removing 6180441 relations and 4180441 ideals in 2000000 cliques
  188. Fri Sep 30 01:49:29 2016  commencing in-memory singleton removal
  189. Fri Sep 30 01:49:47 2016  begin with 313878548 relations and 242439609 unique ideals
  190. Fri Sep 30 01:51:28 2016  reduce to 313779824 relations and 238159581 ideals in 5 passes
  191. Fri Sep 30 01:51:28 2016  max relations containing the same ideal: 156
  192. Fri Sep 30 01:53:09 2016  removing 6164768 relations and 4164768 ideals in 2000000 cliques
  193. Fri Sep 30 01:53:14 2016  commencing in-memory singleton removal
  194. Fri Sep 30 01:53:32 2016  begin with 307615056 relations and 238159581 unique ideals
  195. Fri Sep 30 01:55:32 2016  reduce to 307515191 relations and 233894103 ideals in 6 passes
  196. Fri Sep 30 01:55:32 2016  max relations containing the same ideal: 156
  197. Fri Sep 30 01:57:11 2016  removing 6149759 relations and 4149759 ideals in 2000000 cliques
  198. Fri Sep 30 01:57:17 2016  commencing in-memory singleton removal
  199. Fri Sep 30 01:57:34 2016  begin with 301365432 relations and 233894103 unique ideals
  200. Fri Sep 30 01:59:31 2016  reduce to 301264776 relations and 229642789 ideals in 6 passes
  201. Fri Sep 30 01:59:31 2016  max relations containing the same ideal: 154
  202. Fri Sep 30 02:01:08 2016  removing 6139515 relations and 4139515 ideals in 2000000 cliques
  203. Fri Sep 30 02:01:13 2016  commencing in-memory singleton removal
  204. Fri Sep 30 02:01:30 2016  begin with 295125261 relations and 229642789 unique ideals
  205. Fri Sep 30 02:03:24 2016  reduce to 295022304 relations and 225399397 ideals in 6 passes
  206. Fri Sep 30 02:03:24 2016  max relations containing the same ideal: 153
  207. Fri Sep 30 02:04:59 2016  removing 6123706 relations and 4123706 ideals in 2000000 cliques
  208. Fri Sep 30 02:05:04 2016  commencing in-memory singleton removal
  209. Fri Sep 30 02:05:20 2016  begin with 288898598 relations and 225399397 unique ideals
  210. Fri Sep 30 02:07:11 2016  reduce to 288794448 relations and 221170521 ideals in 6 passes
  211. Fri Sep 30 02:07:11 2016  max relations containing the same ideal: 152
  212. Fri Sep 30 02:08:45 2016  removing 6117915 relations and 4117915 ideals in 2000000 cliques
  213. Fri Sep 30 02:08:50 2016  commencing in-memory singleton removal
  214. Fri Sep 30 02:09:06 2016  begin with 282676533 relations and 221170521 unique ideals
  215. Fri Sep 30 02:10:54 2016  reduce to 282571362 relations and 216946453 ideals in 6 passes
  216. Fri Sep 30 02:10:54 2016  max relations containing the same ideal: 147
  217. Fri Sep 30 02:12:25 2016  removing 6107679 relations and 4107679 ideals in 2000000 cliques
  218. Fri Sep 30 02:12:30 2016  commencing in-memory singleton removal
  219. Fri Sep 30 02:12:46 2016  begin with 276463683 relations and 216946453 unique ideals
  220. Fri Sep 30 02:14:32 2016  reduce to 276355855 relations and 212729881 ideals in 6 passes
  221. Fri Sep 30 02:14:32 2016  max relations containing the same ideal: 146
  222. Fri Sep 30 02:16:01 2016  removing 6101137 relations and 4101137 ideals in 2000000 cliques
  223. Fri Sep 30 02:16:06 2016  commencing in-memory singleton removal
  224. Fri Sep 30 02:16:21 2016  begin with 270254718 relations and 212729881 unique ideals
  225. Fri Sep 30 02:18:23 2016  reduce to 270144671 relations and 208517574 ideals in 7 passes
  226. Fri Sep 30 02:18:23 2016  max relations containing the same ideal: 143
  227. Fri Sep 30 02:19:50 2016  removing 6099509 relations and 4099509 ideals in 2000000 cliques
  228. Fri Sep 30 02:19:55 2016  commencing in-memory singleton removal
  229. Fri Sep 30 02:20:10 2016  begin with 264045162 relations and 208517574 unique ideals
  230. Fri Sep 30 02:21:51 2016  reduce to 263933598 relations and 204305296 ideals in 6 passes
  231. Fri Sep 30 02:21:51 2016  max relations containing the same ideal: 140
  232. Fri Sep 30 02:23:16 2016  removing 6095101 relations and 4095101 ideals in 2000000 cliques
  233. Fri Sep 30 02:23:21 2016  commencing in-memory singleton removal
  234. Fri Sep 30 02:23:36 2016  begin with 257838497 relations and 204305296 unique ideals
  235. Fri Sep 30 02:25:14 2016  reduce to 257725337 relations and 200095759 ideals in 6 passes
  236. Fri Sep 30 02:25:14 2016  max relations containing the same ideal: 135
  237. Fri Sep 30 02:26:38 2016  removing 6096384 relations and 4096384 ideals in 2000000 cliques
  238. Fri Sep 30 02:26:42 2016  commencing in-memory singleton removal
  239. Fri Sep 30 02:26:56 2016  begin with 251628953 relations and 200095759 unique ideals
  240. Fri Sep 30 02:28:32 2016  reduce to 251512415 relations and 195881558 ideals in 6 passes
  241. Fri Sep 30 02:28:32 2016  max relations containing the same ideal: 133
  242. Fri Sep 30 02:29:54 2016  removing 6095373 relations and 4095373 ideals in 2000000 cliques
  243. Fri Sep 30 02:29:58 2016  commencing in-memory singleton removal
  244. Fri Sep 30 02:30:12 2016  begin with 245417042 relations and 195881558 unique ideals
  245. Fri Sep 30 02:31:45 2016  reduce to 245297280 relations and 191665130 ideals in 6 passes
  246. Fri Sep 30 02:31:45 2016  max relations containing the same ideal: 131
  247. Fri Sep 30 02:33:05 2016  removing 6098106 relations and 4098106 ideals in 2000000 cliques
  248. Fri Sep 30 02:33:09 2016  commencing in-memory singleton removal
  249. Fri Sep 30 02:33:22 2016  begin with 239199174 relations and 191665130 unique ideals
  250. Fri Sep 30 02:34:54 2016  reduce to 239078253 relations and 187444710 ideals in 6 passes
  251. Fri Sep 30 02:34:54 2016  max relations containing the same ideal: 131
  252. Fri Sep 30 02:36:12 2016  removing 6102794 relations and 4102794 ideals in 2000000 cliques
  253. Fri Sep 30 02:36:16 2016  commencing in-memory singleton removal
  254. Fri Sep 30 02:36:29 2016  begin with 232975459 relations and 187444710 unique ideals
  255. Fri Sep 30 02:38:13 2016  reduce to 232850895 relations and 183215971 ideals in 7 passes
  256. Fri Sep 30 02:38:13 2016  max relations containing the same ideal: 130
  257. Fri Sep 30 02:39:28 2016  removing 6111840 relations and 4111840 ideals in 2000000 cliques
  258. Fri Sep 30 02:39:32 2016  commencing in-memory singleton removal
  259. Fri Sep 30 02:39:45 2016  begin with 226739055 relations and 183215971 unique ideals
  260. Fri Sep 30 02:41:11 2016  reduce to 226610884 relations and 178974534 ideals in 6 passes
  261. Fri Sep 30 02:41:11 2016  max relations containing the same ideal: 125
  262. Fri Sep 30 02:42:24 2016  removing 6115036 relations and 4115036 ideals in 2000000 cliques
  263. Fri Sep 30 02:42:29 2016  commencing in-memory singleton removal
  264. Fri Sep 30 02:42:41 2016  begin with 220495848 relations and 178974534 unique ideals
  265. Fri Sep 30 02:44:04 2016  reduce to 220364919 relations and 174726983 ideals in 6 passes
  266. Fri Sep 30 02:44:04 2016  max relations containing the same ideal: 124
  267. Fri Sep 30 02:45:15 2016  removing 6125930 relations and 4125930 ideals in 2000000 cliques
  268. Fri Sep 30 02:45:20 2016  commencing in-memory singleton removal
  269. Fri Sep 30 02:45:31 2016  begin with 214238989 relations and 174726983 unique ideals
  270. Fri Sep 30 02:46:52 2016  reduce to 214103308 relations and 170463747 ideals in 6 passes
  271. Fri Sep 30 02:46:52 2016  max relations containing the same ideal: 122
  272. Fri Sep 30 02:48:01 2016  removing 6137883 relations and 4137883 ideals in 2000000 cliques
  273. Fri Sep 30 02:48:05 2016  commencing in-memory singleton removal
  274. Fri Sep 30 02:48:17 2016  begin with 207965425 relations and 170463747 unique ideals
  275. Fri Sep 30 02:49:35 2016  reduce to 207825609 relations and 166184292 ideals in 6 passes
  276. Fri Sep 30 02:49:35 2016  max relations containing the same ideal: 121
  277. Fri Sep 30 02:50:42 2016  removing 6154289 relations and 4154289 ideals in 2000000 cliques
  278. Fri Sep 30 02:50:46 2016  commencing in-memory singleton removal
  279. Fri Sep 30 02:50:57 2016  begin with 201671320 relations and 166184292 unique ideals
  280. Fri Sep 30 02:52:27 2016  reduce to 201527546 relations and 161884342 ideals in 7 passes
  281. Fri Sep 30 02:52:27 2016  max relations containing the same ideal: 116
  282. Fri Sep 30 02:53:33 2016  removing 6172656 relations and 4172656 ideals in 2000000 cliques
  283. Fri Sep 30 02:53:37 2016  commencing in-memory singleton removal
  284. Fri Sep 30 02:53:47 2016  begin with 195354890 relations and 161884342 unique ideals
  285. Fri Sep 30 02:55:01 2016  reduce to 195206390 relations and 157561363 ideals in 6 passes
  286. Fri Sep 30 02:55:01 2016  max relations containing the same ideal: 113
  287. Fri Sep 30 02:56:04 2016  removing 6191586 relations and 4191586 ideals in 2000000 cliques
  288. Fri Sep 30 02:56:08 2016  commencing in-memory singleton removal
  289. Fri Sep 30 02:56:18 2016  begin with 189014804 relations and 157561363 unique ideals
  290. Fri Sep 30 02:57:29 2016  reduce to 188860711 relations and 153213778 ideals in 6 passes
  291. Fri Sep 30 02:57:29 2016  max relations containing the same ideal: 112
  292. Fri Sep 30 02:58:30 2016  removing 6216709 relations and 4216709 ideals in 2000000 cliques
  293. Fri Sep 30 02:58:33 2016  commencing in-memory singleton removal
  294. Fri Sep 30 02:58:43 2016  begin with 182644002 relations and 153213778 unique ideals
  295. Fri Sep 30 03:00:02 2016  reduce to 182483685 relations and 148834574 ideals in 7 passes
  296. Fri Sep 30 03:00:02 2016  max relations containing the same ideal: 111
  297. Fri Sep 30 03:01:01 2016  removing 6245603 relations and 4245603 ideals in 2000000 cliques
  298. Fri Sep 30 03:01:05 2016  commencing in-memory singleton removal
  299. Fri Sep 30 03:01:15 2016  begin with 176238082 relations and 148834574 unique ideals
  300. Fri Sep 30 03:02:20 2016  reduce to 176071346 relations and 144420050 ideals in 6 passes
  301. Fri Sep 30 03:02:20 2016  max relations containing the same ideal: 108
  302. Fri Sep 30 03:03:17 2016  removing 6272905 relations and 4272905 ideals in 2000000 cliques
  303. Fri Sep 30 03:03:21 2016  commencing in-memory singleton removal
  304. Fri Sep 30 03:03:30 2016  begin with 169798441 relations and 144420050 unique ideals
  305. Fri Sep 30 03:04:44 2016  reduce to 169624560 relations and 139971055 ideals in 7 passes
  306. Fri Sep 30 03:04:44 2016  max relations containing the same ideal: 104
  307. Fri Sep 30 03:05:39 2016  removing 6309228 relations and 4309228 ideals in 2000000 cliques
  308. Fri Sep 30 03:05:43 2016  commencing in-memory singleton removal
  309. Fri Sep 30 03:05:51 2016  begin with 163315332 relations and 139971055 unique ideals
  310. Fri Sep 30 03:06:52 2016  reduce to 163133300 relations and 135477245 ideals in 6 passes
  311. Fri Sep 30 03:06:52 2016  max relations containing the same ideal: 101
  312. Fri Sep 30 03:07:45 2016  removing 6353690 relations and 4353690 ideals in 2000000 cliques
  313. Fri Sep 30 03:07:49 2016  commencing in-memory singleton removal
  314. Fri Sep 30 03:07:57 2016  begin with 156779610 relations and 135477245 unique ideals
  315. Fri Sep 30 03:08:55 2016  reduce to 156588219 relations and 130929629 ideals in 6 passes
  316. Fri Sep 30 03:08:55 2016  max relations containing the same ideal: 99
  317. Fri Sep 30 03:09:46 2016  removing 6396673 relations and 4396673 ideals in 2000000 cliques
  318. Fri Sep 30 03:09:50 2016  commencing in-memory singleton removal
  319. Fri Sep 30 03:09:58 2016  begin with 150191546 relations and 130929629 unique ideals
  320. Fri Sep 30 03:10:53 2016  reduce to 149990616 relations and 126329212 ideals in 6 passes
  321. Fri Sep 30 03:10:53 2016  max relations containing the same ideal: 96
  322. Fri Sep 30 03:11:42 2016  removing 6450808 relations and 4450808 ideals in 2000000 cliques
  323. Fri Sep 30 03:11:46 2016  commencing in-memory singleton removal
  324. Fri Sep 30 03:11:53 2016  begin with 143539808 relations and 126329212 unique ideals
  325. Fri Sep 30 03:12:46 2016  reduce to 143327321 relations and 121662879 ideals in 6 passes
  326. Fri Sep 30 03:12:46 2016  max relations containing the same ideal: 93
  327. Fri Sep 30 03:13:33 2016  removing 6506663 relations and 4506663 ideals in 2000000 cliques
  328. Fri Sep 30 03:13:37 2016  commencing in-memory singleton removal
  329. Fri Sep 30 03:13:44 2016  begin with 136820658 relations and 121662879 unique ideals
  330. Fri Sep 30 03:14:43 2016  reduce to 136593791 relations and 116926075 ideals in 7 passes
  331. Fri Sep 30 03:14:43 2016  max relations containing the same ideal: 90
  332. Fri Sep 30 03:15:29 2016  removing 6580606 relations and 4580606 ideals in 2000000 cliques
  333. Fri Sep 30 03:15:32 2016  commencing in-memory singleton removal
  334. Fri Sep 30 03:15:39 2016  begin with 130013185 relations and 116926075 unique ideals
  335. Fri Sep 30 03:16:34 2016  reduce to 129770567 relations and 112099322 ideals in 7 passes
  336. Fri Sep 30 03:16:34 2016  max relations containing the same ideal: 87
  337. Fri Sep 30 03:17:18 2016  removing 6654226 relations and 4654226 ideals in 2000000 cliques
  338. Fri Sep 30 03:17:21 2016  commencing in-memory singleton removal
  339. Fri Sep 30 03:17:27 2016  begin with 123116341 relations and 112099322 unique ideals
  340. Fri Sep 30 03:18:12 2016  reduce to 122855758 relations and 107180529 ideals in 6 passes
  341. Fri Sep 30 03:18:12 2016  max relations containing the same ideal: 83
  342. Fri Sep 30 03:18:53 2016  removing 6741322 relations and 4741322 ideals in 2000000 cliques
  343. Fri Sep 30 03:18:56 2016  commencing in-memory singleton removal
  344. Fri Sep 30 03:19:02 2016  begin with 116114436 relations and 107180529 unique ideals
  345. Fri Sep 30 03:19:51 2016  reduce to 115830901 relations and 102151222 ideals in 7 passes
  346. Fri Sep 30 03:19:51 2016  max relations containing the same ideal: 81
  347. Fri Sep 30 03:20:30 2016  removing 6847790 relations and 4847790 ideals in 2000000 cliques
  348. Fri Sep 30 03:20:33 2016  commencing in-memory singleton removal
  349. Fri Sep 30 03:20:39 2016  begin with 108983111 relations and 102151222 unique ideals
  350. Fri Sep 30 03:21:25 2016  reduce to 108672175 relations and 96987444 ideals in 7 passes
  351. Fri Sep 30 03:21:25 2016  max relations containing the same ideal: 77
  352. Fri Sep 30 03:22:02 2016  removing 6968757 relations and 4968757 ideals in 2000000 cliques
  353. Fri Sep 30 03:22:04 2016  commencing in-memory singleton removal
  354. Fri Sep 30 03:22:10 2016  begin with 101703418 relations and 96987444 unique ideals
  355. Fri Sep 30 03:22:53 2016  reduce to 101357289 relations and 91666731 ideals in 7 passes
  356. Fri Sep 30 03:22:53 2016  max relations containing the same ideal: 74
  357. Fri Sep 30 03:23:28 2016  removing 7110830 relations and 5110830 ideals in 2000000 cliques
  358. Fri Sep 30 03:23:30 2016  commencing in-memory singleton removal
  359. Fri Sep 30 03:23:35 2016  begin with 94246459 relations and 91666731 unique ideals
  360. Fri Sep 30 03:24:15 2016  reduce to 93856775 relations and 86159324 ideals in 7 passes
  361. Fri Sep 30 03:24:15 2016  max relations containing the same ideal: 69
  362. Fri Sep 30 03:24:47 2016  removing 7284489 relations and 5284489 ideals in 2000000 cliques
  363. Fri Sep 30 03:24:50 2016  commencing in-memory singleton removal
  364. Fri Sep 30 03:24:54 2016  begin with 86572286 relations and 86159324 unique ideals
  365. Fri Sep 30 03:25:35 2016  reduce to 86124909 relations and 80419127 ideals in 8 passes
  366. Fri Sep 30 03:25:35 2016  max relations containing the same ideal: 66
  367. Fri Sep 30 03:26:05 2016  removing 7494115 relations and 5494115 ideals in 2000000 cliques
  368. Fri Sep 30 03:26:08 2016  commencing in-memory singleton removal
  369. Fri Sep 30 03:26:12 2016  begin with 78630794 relations and 80419127 unique ideals
  370. Fri Sep 30 03:26:44 2016  reduce to 78103067 relations and 74386987 ideals in 7 passes
  371. Fri Sep 30 03:26:44 2016  max relations containing the same ideal: 63
  372. Fri Sep 30 03:27:12 2016  removing 568917 relations and 479869 ideals in 89048 cliques
  373. Fri Sep 30 03:27:13 2016  commencing in-memory singleton removal
  374. Fri Sep 30 03:27:17 2016  begin with 77534150 relations and 74386987 unique ideals
  375. Fri Sep 30 03:27:40 2016  reduce to 77531469 relations and 73904436 ideals in 5 passes
  376. Fri Sep 30 03:27:40 2016  max relations containing the same ideal: 62
  377. Fri Sep 30 03:27:53 2016  relations with 0 large ideals: 22004
  378. Fri Sep 30 03:27:53 2016  relations with 1 large ideals: 242190
  379. Fri Sep 30 03:27:53 2016  relations with 2 large ideals: 1778074
  380. Fri Sep 30 03:27:53 2016  relations with 3 large ideals: 6900731
  381. Fri Sep 30 03:27:53 2016  relations with 4 large ideals: 15542660
  382. Fri Sep 30 03:27:53 2016  relations with 5 large ideals: 21336648
  383. Fri Sep 30 03:27:53 2016  relations with 6 large ideals: 18281909
  384. Fri Sep 30 03:27:53 2016  relations with 7+ large ideals: 13427253
  385. Fri Sep 30 03:27:53 2016  commencing 2-way merge
  386. Fri Sep 30 03:28:30 2016  reduce to 47814777 relation sets and 44187744 unique ideals
  387. Fri Sep 30 03:28:30 2016  commencing full merge
  388. Fri Sep 30 03:40:58 2016  memory use: 4984.3 MB
  389. Fri Sep 30 03:41:03 2016  found 20865031 cycles, need 20479944
  390. Fri Sep 30 03:41:10 2016  weight of 20479944 cycles is about 2662864823 (130.02/cycle)
  391. Fri Sep 30 03:41:10 2016  distribution of cycle lengths:
  392. Fri Sep 30 03:41:10 2016  1 relations: 1205523
  393. Fri Sep 30 03:41:10 2016  2 relations: 1155721
  394. Fri Sep 30 03:41:10 2016  3 relations: 1278457
  395. Fri Sep 30 03:41:10 2016  4 relations: 1346961
  396. Fri Sep 30 03:41:10 2016  5 relations: 1427409
  397. Fri Sep 30 03:41:10 2016  6 relations: 1454629
  398. Fri Sep 30 03:41:10 2016  7 relations: 1485771
  399. Fri Sep 30 03:41:10 2016  8 relations: 1437628
  400. Fri Sep 30 03:41:10 2016  9 relations: 1380274
  401. Fri Sep 30 03:41:10 2016  10+ relations: 8307571
  402. Fri Sep 30 03:41:10 2016  heaviest cycle: 26 relations
  403. Fri Sep 30 03:41:14 2016  commencing cycle optimization
  404. Fri Sep 30 03:41:53 2016  start with 178783341 relations
  405. Fri Sep 30 03:47:35 2016  pruned 7777055 relations
  406. Fri Sep 30 03:47:36 2016  memory use: 4966.5 MB
  407. Fri Sep 30 03:47:36 2016  distribution of cycle lengths:
  408. Fri Sep 30 03:47:36 2016  1 relations: 1205523
  409. Fri Sep 30 03:47:36 2016  2 relations: 1186967
  410. Fri Sep 30 03:47:36 2016  3 relations: 1330591
  411. Fri Sep 30 03:47:36 2016  4 relations: 1403050
  412. Fri Sep 30 03:47:36 2016  5 relations: 1499411
  413. Fri Sep 30 03:47:36 2016  6 relations: 1530624
  414. Fri Sep 30 03:47:36 2016  7 relations: 1567812
  415. Fri Sep 30 03:47:36 2016  8 relations: 1515378
  416. Fri Sep 30 03:47:36 2016  9 relations: 1452158
  417. Fri Sep 30 03:47:36 2016  10+ relations: 7788430
  418. Fri Sep 30 03:47:36 2016  heaviest cycle: 26 relations
  419. Fri Sep 30 03:48:14 2016  RelProcTime: 55279
  420. Fri Sep 30 03:48:14 2016  elapsed time 15:21:20
  421. Fri Sep 30 14:24:53 2016  
  422. Fri Sep 30 14:24:53 2016  
  423. Fri Sep 30 14:24:53 2016  Msieve v. 1.53 (SVN 993M)
  424. Fri Sep 30 14:24:53 2016  random seeds: 76016f6d 27466d7e
  425. Fri Sep 30 14:24:53 2016  MPI process 0 of 4
  426. Fri Sep 30 14:24:53 2016  factoring 15814388014630099871350267206841899307664108464325022332405193570226368540694204962321006451592526876805875552005812713333798645095922817792712725160265120941083503968823384277703359501941101 (191 digits)
  427. Fri Sep 30 14:24:54 2016  no P-1/P+1/ECM available, skipping
  428. Fri Sep 30 14:24:54 2016  commencing number field sieve (191-digit input)
  429. Fri Sep 30 14:24:54 2016  R0: -4721858189165321598018257008553057545
  430. Fri Sep 30 14:24:54 2016  R1: 332711067448509713
  431. Fri Sep 30 14:24:54 2016  A0: -2454098753605713421240247553987967161968681088
  432. Fri Sep 30 14:24:54 2016  A1: 408768052587994987043048819742542285088
  433. Fri Sep 30 14:24:54 2016  A2: 16342069276322769158134755464654
  434. Fri Sep 30 14:24:54 2016  A3: -86916844769189283067199
  435. Fri Sep 30 14:24:54 2016  A4: -2130430393046538
  436. Fri Sep 30 14:24:54 2016  A5: 6737328
  437. Fri Sep 30 14:24:54 2016  skew 86133912.09, size 1.287e-18, alpha -7.980, combined = 2.028e-14 rroots = 5
  438. Fri Sep 30 14:24:54 2016  
  439. Fri Sep 30 14:24:54 2016  commencing linear algebra
  440. Fri Sep 30 14:24:54 2016  initialized process (0,0) of 2 x 2 grid
  441. Fri Sep 30 14:25:01 2016  read 20479944 cycles
  442. Fri Sep 30 14:25:42 2016  cycles contain 75600567 unique relations
  443. Fri Sep 30 16:00:43 2016  read 75600567 relations
  444. Fri Sep 30 16:02:40 2016  using 20 quadratic characters above 4294917295
  445. Fri Sep 30 16:08:12 2016  building initial matrix
  446. Fri Sep 30 16:24:21 2016  memory use: 10492.5 MB
  447. Fri Sep 30 16:26:03 2016  read 20479944 cycles
  448. Fri Sep 30 16:26:07 2016  matrix is 20479764 x 20479944 (10385.8 MB) with weight 3147198324 (153.67/col)
  449. Fri Sep 30 16:26:07 2016  sparse part has weight 2476812088 (120.94/col)
  450. Fri Sep 30 16:30:58 2016  filtering completed in 2 passes
  451. Fri Sep 30 16:31:03 2016  matrix is 20477641 x 20477821 (10385.5 MB) with weight 3147085211 (153.68/col)
  452. Fri Sep 30 16:31:03 2016  sparse part has weight 2476769274 (120.95/col)
  453. Fri Sep 30 16:34:47 2016  matrix starts at (0, 0)
  454. Fri Sep 30 16:34:49 2016  matrix is 10238877 x 10238944 (2856.4 MB) with weight 961072828 (93.86/col)
  455. Fri Sep 30 16:34:49 2016  sparse part has weight 625908645 (61.13/col)
  456. Fri Sep 30 16:34:49 2016  saving the first 48 matrix rows for later
  457. Fri Sep 30 16:34:51 2016  matrix includes 64 packed rows
  458. Fri Sep 30 16:34:52 2016  matrix is 10238829 x 10238944 (2733.8 MB) with weight 743794465 (72.64/col)
  459. Fri Sep 30 16:34:52 2016  sparse part has weight 614255665 (59.99/col)
  460. Fri Sep 30 16:34:52 2016  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
  461. Fri Sep 30 16:35:22 2016  commencing Lanczos iteration (20 threads)
  462. Fri Sep 30 16:35:22 2016  memory use: 2309.1 MB
  463. Fri Sep 30 16:35:38 2016  linear algebra at 0.0%, ETA 59h57m
  464. Fri Sep 30 16:35:43 2016  checkpointing every 350000 dimensions
  465. Mon Oct  3 01:43:23 2016  lanczos halted after 323820 iterations (dim = 20477590)
  466. Mon Oct  3 01:43:51 2016  recovered 27 nontrivial dependencies
  467. Mon Oct  3 01:43:52 2016  BLanczosTime: 213538
  468. Mon Oct  3 01:43:52 2016  elapsed time 59:18:59
  469. Mon Oct  3 11:44:31 2016  
  470. Mon Oct  3 11:44:31 2016  
  471. Mon Oct  3 11:44:31 2016  Msieve v. 1.53 (SVN 993M)
  472. Mon Oct  3 11:44:31 2016  random seeds: a8e3ca63 b6808791
  473. Mon Oct  3 11:44:31 2016  MPI process 0 of 1
  474. Mon Oct  3 11:44:31 2016  factoring 15814388014630099871350267206841899307664108464325022332405193570226368540694204962321006451592526876805875552005812713333798645095922817792712725160265120941083503968823384277703359501941101 (191 digits)
  475. Mon Oct  3 11:44:33 2016  no P-1/P+1/ECM available, skipping
  476. Mon Oct  3 11:44:33 2016  commencing number field sieve (191-digit input)
  477. Mon Oct  3 11:44:33 2016  R0: -4721858189165321598018257008553057545
  478. Mon Oct  3 11:44:33 2016  R1: 332711067448509713
  479. Mon Oct  3 11:44:33 2016  A0: -2454098753605713421240247553987967161968681088
  480. Mon Oct  3 11:44:33 2016  A1: 408768052587994987043048819742542285088
  481. Mon Oct  3 11:44:33 2016  A2: 16342069276322769158134755464654
  482. Mon Oct  3 11:44:33 2016  A3: -86916844769189283067199
  483. Mon Oct  3 11:44:33 2016  A4: -2130430393046538
  484. Mon Oct  3 11:44:33 2016  A5: 6737328
  485. Mon Oct  3 11:44:33 2016  skew 86133912.09, size 1.287e-18, alpha -7.980, combined = 2.028e-14 rroots = 5
  486. Mon Oct  3 11:44:33 2016  
  487. Mon Oct  3 11:44:33 2016  commencing square root phase
  488. Mon Oct  3 11:44:33 2016  reading relations for dependency 1
  489. Mon Oct  3 11:44:42 2016  read 10239844 cycles
  490. Mon Oct  3 11:45:01 2016  cycles contain 37807030 unique relations
  491. Mon Oct  3 13:15:03 2016  read 37807030 relations
  492. Mon Oct  3 13:17:47 2016  multiplying 37807030 relations
  493. Mon Oct  3 14:14:14 2016  multiply complete, coefficients have about 2414.03 million bits
  494. Mon Oct  3 14:14:26 2016  initial square root is modulo 259697
  495. Mon Oct  3 15:14:25 2016  sqrtTime: 12592
  496. Mon Oct  3 15:14:25 2016  p77 factor: 47511189292883782942464597043767959031968529905801057293973702258609485815721
  497. Mon Oct  3 15:14:25 2016  p114 factor: 332856075589730100782095092932651775007942265044601145380677675790257517207139832818573465368618017456201668703781
  498. Mon Oct  3 15:14:25 2016  elapsed time 03:29:54
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