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  1. Thu Apr 13 13:36:35 2017  
  2. Thu Apr 13 13:36:35 2017  
  3. Thu Apr 13 13:36:35 2017  Msieve v. 1.53 (SVN 993M)
  4. Thu Apr 13 13:36:35 2017  random seeds: ad6698cc b83aee8f
  5. Thu Apr 13 13:36:35 2017  MPI process 0 of 1
  6. Thu Apr 13 13:36:35 2017  factoring 443294382278497472255663674471957877977758300410341891136991228486181404534835434386411375536896677973990507418833214428213214395954944104971992919018640367376198808336191148664089834528609782551242985222049760608843253 (219 digits)
  7. Thu Apr 13 13:36:37 2017  no P-1/P+1/ECM available, skipping
  8. Thu Apr 13 13:36:37 2017  commencing number field sieve (219-digit input)
  9. Thu Apr 13 13:36:37 2017  R0: -125236737537878753441860054533045969266612127846243
  10. Thu Apr 13 13:36:37 2017  R1: 1
  11. Thu Apr 13 13:36:37 2017  A0: 1
  12. Thu Apr 13 13:36:37 2017  A1: 0
  13. Thu Apr 13 13:36:37 2017  A2: 0
  14. Thu Apr 13 13:36:37 2017  A3: 0
  15. Thu Apr 13 13:36:37 2017  A4: 0
  16. Thu Apr 13 13:36:37 2017  A5: 0
  17. Thu Apr 13 13:36:37 2017  A6: 3
  18. Thu Apr 13 13:36:37 2017  skew 1.00, size 7.646e-15, alpha 2.596, combined = 2.745e-15 rroots = 0
  19. Thu Apr 13 13:36:37 2017  
  20. Thu Apr 13 13:36:37 2017  commencing relation filtering
  21. Thu Apr 13 13:36:37 2017  setting target matrix density to 130.0
  22. Thu Apr 13 13:36:37 2017  estimated available RAM is 64445.5 MB
  23. Thu Apr 13 13:36:37 2017  commencing duplicate removal, pass 1
  24. Thu Apr 13 14:14:02 2017  error -11 reading relation 227116434
  25. Thu Apr 13 14:34:38 2017  error -1 reading relation 352003353
  26. Thu Apr 13 14:55:39 2017  error -15 reading relation 479004136
  27. Thu Apr 13 15:55:10 2017  skipped 280916 relations with b > 2^32
  28. Thu Apr 13 15:55:10 2017  skipped 1 relations with composite factors
  29. Thu Apr 13 15:55:10 2017  found 155809062 hash collisions in 838853754 relations
  30. Thu Apr 13 15:55:20 2017  added 2437780 free relations
  31. Thu Apr 13 15:55:20 2017  commencing duplicate removal, pass 2
  32. Thu Apr 13 16:13:15 2017  found 65939588 duplicates and 775351946 unique relations
  33. Thu Apr 13 16:13:15 2017  memory use: 4518.0 MB
  34. Thu Apr 13 16:13:20 2017  reading ideals above 733151232
  35. Thu Apr 13 16:13:20 2017  commencing singleton removal, initial pass
  36. Thu Apr 13 17:46:40 2017  memory use: 11024.0 MB
  37. Thu Apr 13 17:46:41 2017  reading all ideals from disk
  38. Thu Apr 13 17:50:25 2017  memory use: 13393.0 MB
  39. Thu Apr 13 17:51:38 2017  commencing in-memory singleton removal
  40. Thu Apr 13 17:52:05 2017  begin with 775351946 relations and 605599881 unique ideals
  41. Thu Apr 13 17:57:56 2017  reduce to 551206745 relations and 362378030 ideals in 13 passes
  42. Thu Apr 13 17:57:56 2017  max relations containing the same ideal: 43
  43. Thu Apr 13 17:58:51 2017  reading ideals above 720000
  44. Thu Apr 13 17:58:52 2017  commencing singleton removal, initial pass
  45. Thu Apr 13 19:30:55 2017  memory use: 11024.0 MB
  46. Thu Apr 13 19:30:55 2017  reading all ideals from disk
  47. Thu Apr 13 19:44:01 2017  memory use: 25216.1 MB
  48. Thu Apr 13 19:45:45 2017  keeping 434933931 ideals with weight <= 200, target excess is 3185490
  49. Thu Apr 13 19:46:52 2017  commencing in-memory singleton removal
  50. Thu Apr 13 19:47:27 2017  begin with 551206745 relations and 434933931 unique ideals
  51. Thu Apr 13 19:52:18 2017  reduce to 551117206 relations and 434844386 ideals in 8 passes
  52. Thu Apr 13 19:52:18 2017  max relations containing the same ideal: 200
  53. Thu Apr 13 19:55:06 2017  removing 12187930 relations and 10534290 ideals in 2000000 cliques
  54. Thu Apr 13 19:55:16 2017  commencing in-memory singleton removal
  55. Thu Apr 13 19:55:50 2017  begin with 538929276 relations and 434844386 unique ideals
  56. Thu Apr 13 20:02:22 2017  reduce to 538096901 relations and 423821873 ideals in 11 passes
  57. Thu Apr 13 20:02:22 2017  max relations containing the same ideal: 200
  58. Thu Apr 13 20:05:11 2017  removing 9956886 relations and 8174024 ideals in 2000000 cliques
  59. Thu Apr 13 20:05:21 2017  commencing in-memory singleton removal
  60. Thu Apr 13 20:05:54 2017  begin with 528140015 relations and 423821873 unique ideals
  61. Thu Apr 13 20:13:27 2017  reduce to 527597503 relations and 415321169 ideals in 13 passes
  62. Thu Apr 13 20:13:27 2017  max relations containing the same ideal: 200
  63. Thu Apr 13 20:16:16 2017  removing 9405774 relations and 7554313 ideals in 2000000 cliques
  64. Thu Apr 13 20:16:25 2017  commencing in-memory singleton removal
  65. Thu Apr 13 20:16:58 2017  begin with 518191729 relations and 415321169 unique ideals
  66. Thu Apr 13 20:21:25 2017  reduce to 517785619 relations and 407508271 ideals in 8 passes
  67. Thu Apr 13 20:21:25 2017  max relations containing the same ideal: 199
  68. Thu Apr 13 20:24:14 2017  removing 9230194 relations and 7315832 ideals in 2000000 cliques
  69. Thu Apr 13 20:24:23 2017  commencing in-memory singleton removal
  70. Thu Apr 13 20:24:55 2017  begin with 508555425 relations and 407508271 unique ideals
  71. Thu Apr 13 20:28:50 2017  reduce to 508268095 relations and 399989940 ideals in 7 passes
  72. Thu Apr 13 20:28:50 2017  max relations containing the same ideal: 198
  73. Thu Apr 13 20:31:38 2017  removing 9234536 relations and 7253990 ideals in 2000000 cliques
  74. Thu Apr 13 20:31:47 2017  commencing in-memory singleton removal
  75. Thu Apr 13 20:32:19 2017  begin with 499033559 relations and 399989940 unique ideals
  76. Thu Apr 13 20:36:09 2017  reduce to 498868534 relations and 392589735 ideals in 7 passes
  77. Thu Apr 13 20:36:09 2017  max relations containing the same ideal: 196
  78. Thu Apr 13 20:38:55 2017  removing 8472622 relations and 6472622 ideals in 2000000 cliques
  79. Thu Apr 13 20:39:04 2017  commencing in-memory singleton removal
  80. Thu Apr 13 20:39:34 2017  begin with 490395912 relations and 392589735 unique ideals
  81. Thu Apr 13 20:42:49 2017  reduce to 490278815 relations and 385999524 ideals in 6 passes
  82. Thu Apr 13 20:42:49 2017  max relations containing the same ideal: 196
  83. Thu Apr 13 20:45:32 2017  removing 7954633 relations and 5954633 ideals in 2000000 cliques
  84. Thu Apr 13 20:45:41 2017  commencing in-memory singleton removal
  85. Thu Apr 13 20:46:11 2017  begin with 482324182 relations and 385999524 unique ideals
  86. Thu Apr 13 20:49:22 2017  reduce to 482215120 relations and 379935419 ideals in 6 passes
  87. Thu Apr 13 20:49:22 2017  max relations containing the same ideal: 196
  88. Thu Apr 13 20:52:03 2017  removing 7748002 relations and 5748002 ideals in 2000000 cliques
  89. Thu Apr 13 20:52:12 2017  commencing in-memory singleton removal
  90. Thu Apr 13 20:52:42 2017  begin with 474467118 relations and 379935419 unique ideals
  91. Thu Apr 13 20:55:49 2017  reduce to 474361275 relations and 374081171 ideals in 6 passes
  92. Thu Apr 13 20:55:49 2017  max relations containing the same ideal: 195
  93. Thu Apr 13 20:58:28 2017  removing 7586717 relations and 5586717 ideals in 2000000 cliques
  94. Thu Apr 13 20:58:36 2017  commencing in-memory singleton removal
  95. Thu Apr 13 20:59:06 2017  begin with 466774558 relations and 374081171 unique ideals
  96. Thu Apr 13 21:02:10 2017  reduce to 466671240 relations and 368390683 ideals in 6 passes
  97. Thu Apr 13 21:02:10 2017  max relations containing the same ideal: 193
  98. Thu Apr 13 21:04:46 2017  removing 7453617 relations and 5453617 ideals in 2000000 cliques
  99. Thu Apr 13 21:04:54 2017  commencing in-memory singleton removal
  100. Thu Apr 13 21:05:23 2017  begin with 459217623 relations and 368390683 unique ideals
  101. Thu Apr 13 21:08:24 2017  reduce to 459116111 relations and 362835121 ideals in 6 passes
  102. Thu Apr 13 21:08:24 2017  max relations containing the same ideal: 190
  103. Thu Apr 13 21:10:58 2017  removing 7336706 relations and 5336706 ideals in 2000000 cliques
  104. Thu Apr 13 21:11:06 2017  commencing in-memory singleton removal
  105. Thu Apr 13 21:11:34 2017  begin with 451779405 relations and 362835121 unique ideals
  106. Thu Apr 13 21:14:32 2017  reduce to 451679025 relations and 357397537 ideals in 6 passes
  107. Thu Apr 13 21:14:32 2017  max relations containing the same ideal: 188
  108. Thu Apr 13 21:17:03 2017  removing 7236749 relations and 5236749 ideals in 2000000 cliques
  109. Thu Apr 13 21:17:11 2017  commencing in-memory singleton removal
  110. Thu Apr 13 21:17:39 2017  begin with 444442276 relations and 357397537 unique ideals
  111. Thu Apr 13 21:20:59 2017  reduce to 444342523 relations and 352060579 ideals in 7 passes
  112. Thu Apr 13 21:20:59 2017  max relations containing the same ideal: 188
  113. Thu Apr 13 21:23:26 2017  removing 7151288 relations and 5151288 ideals in 2000000 cliques
  114. Thu Apr 13 21:23:34 2017  commencing in-memory singleton removal
  115. Thu Apr 13 21:24:02 2017  begin with 437191235 relations and 352060579 unique ideals
  116. Thu Apr 13 21:26:53 2017  reduce to 437093265 relations and 346810881 ideals in 6 passes
  117. Thu Apr 13 21:26:53 2017  max relations containing the same ideal: 186
  118. Thu Apr 13 21:29:19 2017  removing 7077991 relations and 5077991 ideals in 2000000 cliques
  119. Thu Apr 13 21:29:27 2017  commencing in-memory singleton removal
  120. Thu Apr 13 21:29:54 2017  begin with 430015274 relations and 346810881 unique ideals
  121. Thu Apr 13 21:32:42 2017  reduce to 429917922 relations and 341635074 ideals in 6 passes
  122. Thu Apr 13 21:32:42 2017  max relations containing the same ideal: 184
  123. Thu Apr 13 21:35:06 2017  removing 7012288 relations and 5012288 ideals in 2000000 cliques
  124. Thu Apr 13 21:35:14 2017  commencing in-memory singleton removal
  125. Thu Apr 13 21:35:40 2017  begin with 422905634 relations and 341635074 unique ideals
  126. Thu Apr 13 21:38:25 2017  reduce to 422807981 relations and 336524658 ideals in 6 passes
  127. Thu Apr 13 21:38:25 2017  max relations containing the same ideal: 183
  128. Thu Apr 13 21:40:47 2017  removing 6957013 relations and 4957013 ideals in 2000000 cliques
  129. Thu Apr 13 21:40:55 2017  commencing in-memory singleton removal
  130. Thu Apr 13 21:41:20 2017  begin with 415850968 relations and 336524658 unique ideals
  131. Thu Apr 13 21:44:03 2017  reduce to 415753887 relations and 331470058 ideals in 6 passes
  132. Thu Apr 13 21:44:03 2017  max relations containing the same ideal: 182
  133. Thu Apr 13 21:46:22 2017  removing 6905465 relations and 4905465 ideals in 2000000 cliques
  134. Thu Apr 13 21:46:29 2017  commencing in-memory singleton removal
  135. Thu Apr 13 21:46:55 2017  begin with 408848422 relations and 331470058 unique ideals
  136. Thu Apr 13 21:49:34 2017  reduce to 408750989 relations and 326466663 ideals in 6 passes
  137. Thu Apr 13 21:49:34 2017  max relations containing the same ideal: 179
  138. Thu Apr 13 21:51:51 2017  removing 6860759 relations and 4860759 ideals in 2000000 cliques
  139. Thu Apr 13 21:51:58 2017  commencing in-memory singleton removal
  140. Thu Apr 13 21:52:23 2017  begin with 401890230 relations and 326466663 unique ideals
  141. Thu Apr 13 21:54:59 2017  reduce to 401792869 relations and 321507996 ideals in 6 passes
  142. Thu Apr 13 21:54:59 2017  max relations containing the same ideal: 178
  143. Thu Apr 13 21:57:14 2017  removing 6822155 relations and 4822155 ideals in 2000000 cliques
  144. Thu Apr 13 21:57:21 2017  commencing in-memory singleton removal
  145. Thu Apr 13 21:57:46 2017  begin with 394970714 relations and 321507996 unique ideals
  146. Thu Apr 13 22:00:19 2017  reduce to 394872604 relations and 316587234 ideals in 6 passes
  147. Thu Apr 13 22:00:19 2017  max relations containing the same ideal: 176
  148. Thu Apr 13 22:02:32 2017  removing 6787926 relations and 4787926 ideals in 2000000 cliques
  149. Thu Apr 13 22:02:39 2017  commencing in-memory singleton removal
  150. Thu Apr 13 22:03:03 2017  begin with 388084678 relations and 316587234 unique ideals
  151. Thu Apr 13 22:05:08 2017  reduce to 387986478 relations and 311700549 ideals in 5 passes
  152. Thu Apr 13 22:05:08 2017  max relations containing the same ideal: 173
  153. Thu Apr 13 22:07:18 2017  removing 6754519 relations and 4754519 ideals in 2000000 cliques
  154. Thu Apr 13 22:07:25 2017  commencing in-memory singleton removal
  155. Thu Apr 13 22:07:49 2017  begin with 381231959 relations and 311700549 unique ideals
  156. Thu Apr 13 22:09:52 2017  reduce to 381131313 relations and 306844800 ideals in 5 passes
  157. Thu Apr 13 22:09:52 2017  max relations containing the same ideal: 170
  158. Thu Apr 13 22:12:00 2017  removing 6728066 relations and 4728066 ideals in 2000000 cliques
  159. Thu Apr 13 22:12:07 2017  commencing in-memory singleton removal
  160. Thu Apr 13 22:12:30 2017  begin with 374403247 relations and 306844800 unique ideals
  161. Thu Apr 13 22:14:54 2017  reduce to 374303792 relations and 302016688 ideals in 6 passes
  162. Thu Apr 13 22:14:55 2017  max relations containing the same ideal: 169
  163. Thu Apr 13 22:17:00 2017  removing 6705876 relations and 4705876 ideals in 2000000 cliques
  164. Thu Apr 13 22:17:07 2017  commencing in-memory singleton removal
  165. Thu Apr 13 22:17:30 2017  begin with 367597916 relations and 302016688 unique ideals
  166. Thu Apr 13 22:19:52 2017  reduce to 367496690 relations and 297208981 ideals in 6 passes
  167. Thu Apr 13 22:19:52 2017  max relations containing the same ideal: 168
  168. Thu Apr 13 22:21:55 2017  removing 6683234 relations and 4683234 ideals in 2000000 cliques
  169. Thu Apr 13 22:22:02 2017  commencing in-memory singleton removal
  170. Thu Apr 13 22:22:24 2017  begin with 360813456 relations and 297208981 unique ideals
  171. Thu Apr 13 22:24:43 2017  reduce to 360711559 relations and 292423164 ideals in 6 passes
  172. Thu Apr 13 22:24:43 2017  max relations containing the same ideal: 163
  173. Thu Apr 13 22:26:44 2017  removing 6666896 relations and 4666896 ideals in 2000000 cliques
  174. Thu Apr 13 22:26:50 2017  commencing in-memory singleton removal
  175. Thu Apr 13 22:27:12 2017  begin with 354044663 relations and 292423164 unique ideals
  176. Thu Apr 13 22:29:28 2017  reduce to 353941912 relations and 287652841 ideals in 6 passes
  177. Thu Apr 13 22:29:28 2017  max relations containing the same ideal: 161
  178. Thu Apr 13 22:31:27 2017  removing 6648304 relations and 4648304 ideals in 2000000 cliques
  179. Thu Apr 13 22:31:33 2017  commencing in-memory singleton removal
  180. Thu Apr 13 22:31:54 2017  begin with 347293608 relations and 287652841 unique ideals
  181. Thu Apr 13 22:34:08 2017  reduce to 347189718 relations and 282899940 ideals in 6 passes
  182. Thu Apr 13 22:34:08 2017  max relations containing the same ideal: 160
  183. Thu Apr 13 22:36:05 2017  removing 6635854 relations and 4635854 ideals in 2000000 cliques
  184. Thu Apr 13 22:36:11 2017  commencing in-memory singleton removal
  185. Thu Apr 13 22:36:31 2017  begin with 340553864 relations and 282899940 unique ideals
  186. Thu Apr 13 22:38:38 2017  reduce to 340448581 relations and 278158101 ideals in 6 passes
  187. Thu Apr 13 22:38:38 2017  max relations containing the same ideal: 159
  188. Thu Apr 13 22:40:30 2017  removing 6628167 relations and 4628167 ideals in 2000000 cliques
  189. Thu Apr 13 22:40:36 2017  commencing in-memory singleton removal
  190. Thu Apr 13 22:40:57 2017  begin with 333820414 relations and 278158101 unique ideals
  191. Thu Apr 13 22:43:04 2017  reduce to 333713511 relations and 273422271 ideals in 6 passes
  192. Thu Apr 13 22:43:04 2017  max relations containing the same ideal: 158
  193. Thu Apr 13 22:44:56 2017  removing 6620743 relations and 4620743 ideals in 2000000 cliques
  194. Thu Apr 13 22:45:02 2017  commencing in-memory singleton removal
  195. Thu Apr 13 22:45:22 2017  begin with 327092768 relations and 273422271 unique ideals
  196. Thu Apr 13 22:47:27 2017  reduce to 326985345 relations and 268693274 ideals in 6 passes
  197. Thu Apr 13 22:47:27 2017  max relations containing the same ideal: 157
  198. Thu Apr 13 22:49:16 2017  removing 6612851 relations and 4612851 ideals in 2000000 cliques
  199. Thu Apr 13 22:49:22 2017  commencing in-memory singleton removal
  200. Thu Apr 13 22:49:41 2017  begin with 320372494 relations and 268693274 unique ideals
  201. Thu Apr 13 22:52:03 2017  reduce to 320263220 relations and 263970307 ideals in 7 passes
  202. Thu Apr 13 22:52:03 2017  max relations containing the same ideal: 151
  203. Thu Apr 13 22:53:50 2017  removing 6604216 relations and 4604216 ideals in 2000000 cliques
  204. Thu Apr 13 22:53:56 2017  commencing in-memory singleton removal
  205. Thu Apr 13 22:54:15 2017  begin with 313659004 relations and 263970307 unique ideals
  206. Thu Apr 13 22:56:14 2017  reduce to 313546221 relations and 259252456 ideals in 6 passes
  207. Thu Apr 13 22:56:14 2017  max relations containing the same ideal: 148
  208. Thu Apr 13 22:57:59 2017  removing 6602366 relations and 4602366 ideals in 2000000 cliques
  209. Thu Apr 13 22:58:05 2017  commencing in-memory singleton removal
  210. Thu Apr 13 22:58:24 2017  begin with 306943855 relations and 259252456 unique ideals
  211. Thu Apr 13 23:00:20 2017  reduce to 306830104 relations and 254535477 ideals in 6 passes
  212. Thu Apr 13 23:00:20 2017  max relations containing the same ideal: 147
  213. Thu Apr 13 23:02:03 2017  removing 6600829 relations and 4600829 ideals in 2000000 cliques
  214. Thu Apr 13 23:02:08 2017  commencing in-memory singleton removal
  215. Thu Apr 13 23:02:26 2017  begin with 300229275 relations and 254535477 unique ideals
  216. Thu Apr 13 23:04:19 2017  reduce to 300113556 relations and 249818028 ideals in 6 passes
  217. Thu Apr 13 23:04:19 2017  max relations containing the same ideal: 146
  218. Thu Apr 13 23:06:00 2017  removing 6603740 relations and 4603740 ideals in 2000000 cliques
  219. Thu Apr 13 23:06:06 2017  commencing in-memory singleton removal
  220. Thu Apr 13 23:06:23 2017  begin with 293509816 relations and 249818028 unique ideals
  221. Thu Apr 13 23:08:14 2017  reduce to 293392011 relations and 245095537 ideals in 6 passes
  222. Thu Apr 13 23:08:14 2017  max relations containing the same ideal: 143
  223. Thu Apr 13 23:09:52 2017  removing 6604136 relations and 4604136 ideals in 2000000 cliques
  224. Thu Apr 13 23:09:57 2017  commencing in-memory singleton removal
  225. Thu Apr 13 23:10:14 2017  begin with 286787875 relations and 245095537 unique ideals
  226. Thu Apr 13 23:12:02 2017  reduce to 286668535 relations and 240371079 ideals in 6 passes
  227. Thu Apr 13 23:12:02 2017  max relations containing the same ideal: 141
  228. Thu Apr 13 23:13:38 2017  removing 6606066 relations and 4606066 ideals in 2000000 cliques
  229. Thu Apr 13 23:13:43 2017  commencing in-memory singleton removal
  230. Thu Apr 13 23:13:59 2017  begin with 280062469 relations and 240371079 unique ideals
  231. Thu Apr 13 23:15:44 2017  reduce to 279940345 relations and 235641889 ideals in 6 passes
  232. Thu Apr 13 23:15:44 2017  max relations containing the same ideal: 140
  233. Thu Apr 13 23:17:18 2017  removing 6611177 relations and 4611177 ideals in 2000000 cliques
  234. Thu Apr 13 23:17:24 2017  commencing in-memory singleton removal
  235. Thu Apr 13 23:17:40 2017  begin with 273329168 relations and 235641889 unique ideals
  236. Thu Apr 13 23:19:20 2017  reduce to 273202772 relations and 230903294 ideals in 6 passes
  237. Thu Apr 13 23:19:20 2017  max relations containing the same ideal: 136
  238. Thu Apr 13 23:20:52 2017  removing 6616963 relations and 4616963 ideals in 2000000 cliques
  239. Thu Apr 13 23:20:57 2017  commencing in-memory singleton removal
  240. Thu Apr 13 23:21:13 2017  begin with 266585809 relations and 230903294 unique ideals
  241. Thu Apr 13 23:22:52 2017  reduce to 266458257 relations and 226157675 ideals in 6 passes
  242. Thu Apr 13 23:22:52 2017  max relations containing the same ideal: 135
  243. Thu Apr 13 23:24:22 2017  removing 6627378 relations and 4627378 ideals in 2000000 cliques
  244. Thu Apr 13 23:24:27 2017  commencing in-memory singleton removal
  245. Thu Apr 13 23:24:43 2017  begin with 259830879 relations and 226157675 unique ideals
  246. Thu Apr 13 23:26:20 2017  reduce to 259700081 relations and 221398425 ideals in 6 passes
  247. Thu Apr 13 23:26:20 2017  max relations containing the same ideal: 135
  248. Thu Apr 13 23:27:48 2017  removing 6638984 relations and 4638984 ideals in 2000000 cliques
  249. Thu Apr 13 23:27:53 2017  commencing in-memory singleton removal
  250. Thu Apr 13 23:28:08 2017  begin with 253061097 relations and 221398425 unique ideals
  251. Thu Apr 13 23:29:42 2017  reduce to 252927055 relations and 216624191 ideals in 6 passes
  252. Thu Apr 13 23:29:42 2017  max relations containing the same ideal: 134
  253. Thu Apr 13 23:31:08 2017  removing 6651110 relations and 4651110 ideals in 2000000 cliques
  254. Thu Apr 13 23:31:13 2017  commencing in-memory singleton removal
  255. Thu Apr 13 23:31:28 2017  begin with 246275945 relations and 216624191 unique ideals
  256. Thu Apr 13 23:33:30 2017  reduce to 246138230 relations and 211834167 ideals in 8 passes
  257. Thu Apr 13 23:33:30 2017  max relations containing the same ideal: 132
  258. Thu Apr 13 23:34:54 2017  removing 6665560 relations and 4665560 ideals in 2000000 cliques
  259. Thu Apr 13 23:34:59 2017  commencing in-memory singleton removal
  260. Thu Apr 13 23:35:13 2017  begin with 239472670 relations and 211834167 unique ideals
  261. Thu Apr 13 23:36:27 2017  reduce to 239331885 relations and 207026539 ideals in 5 passes
  262. Thu Apr 13 23:36:27 2017  max relations containing the same ideal: 131
  263. Thu Apr 13 23:37:49 2017  removing 6682121 relations and 4682121 ideals in 2000000 cliques
  264. Thu Apr 13 23:37:54 2017  commencing in-memory singleton removal
  265. Thu Apr 13 23:38:07 2017  begin with 232649764 relations and 207026539 unique ideals
  266. Thu Apr 13 23:39:48 2017  reduce to 232504959 relations and 202198285 ideals in 7 passes
  267. Thu Apr 13 23:39:48 2017  max relations containing the same ideal: 125
  268. Thu Apr 13 23:41:08 2017  removing 6702783 relations and 4702783 ideals in 2000000 cliques
  269. Thu Apr 13 23:41:12 2017  commencing in-memory singleton removal
  270. Thu Apr 13 23:41:26 2017  begin with 225802176 relations and 202198285 unique ideals
  271. Thu Apr 13 23:42:50 2017  reduce to 225653209 relations and 197345087 ideals in 6 passes
  272. Thu Apr 13 23:42:50 2017  max relations containing the same ideal: 124
  273. Thu Apr 13 23:44:07 2017  removing 6722514 relations and 4722514 ideals in 2000000 cliques
  274. Thu Apr 13 23:44:12 2017  commencing in-memory singleton removal
  275. Thu Apr 13 23:44:25 2017  begin with 218930695 relations and 197345087 unique ideals
  276. Thu Apr 13 23:46:00 2017  reduce to 218776255 relations and 192466676 ideals in 7 passes
  277. Thu Apr 13 23:46:00 2017  max relations containing the same ideal: 121
  278. Thu Apr 13 23:47:15 2017  removing 6748054 relations and 4748054 ideals in 2000000 cliques
  279. Thu Apr 13 23:47:19 2017  commencing in-memory singleton removal
  280. Thu Apr 13 23:47:32 2017  begin with 212028201 relations and 192466676 unique ideals
  281. Thu Apr 13 23:48:51 2017  reduce to 211869618 relations and 187558507 ideals in 6 passes
  282. Thu Apr 13 23:48:51 2017  max relations containing the same ideal: 120
  283. Thu Apr 13 23:50:04 2017  removing 6772847 relations and 4772847 ideals in 2000000 cliques
  284. Thu Apr 13 23:50:08 2017  commencing in-memory singleton removal
  285. Thu Apr 13 23:50:20 2017  begin with 205096771 relations and 187558507 unique ideals
  286. Thu Apr 13 23:51:37 2017  reduce to 204933051 relations and 182620226 ideals in 6 passes
  287. Thu Apr 13 23:51:37 2017  max relations containing the same ideal: 117
  288. Thu Apr 13 23:52:48 2017  removing 6803556 relations and 4803556 ideals in 2000000 cliques
  289. Thu Apr 13 23:52:52 2017  commencing in-memory singleton removal
  290. Thu Apr 13 23:53:04 2017  begin with 198129495 relations and 182620226 unique ideals
  291. Thu Apr 13 23:54:17 2017  reduce to 197958530 relations and 177643959 ideals in 6 passes
  292. Thu Apr 13 23:54:17 2017  max relations containing the same ideal: 113
  293. Thu Apr 13 23:55:26 2017  removing 6836497 relations and 4836497 ideals in 2000000 cliques
  294. Thu Apr 13 23:55:30 2017  commencing in-memory singleton removal
  295. Thu Apr 13 23:55:41 2017  begin with 191122033 relations and 177643959 unique ideals
  296. Thu Apr 13 23:57:04 2017  reduce to 190943086 relations and 172626651 ideals in 7 passes
  297. Thu Apr 13 23:57:04 2017  max relations containing the same ideal: 112
  298. Thu Apr 13 23:58:11 2017  removing 6875190 relations and 4875190 ideals in 2000000 cliques
  299. Thu Apr 13 23:58:15 2017  commencing in-memory singleton removal
  300. Thu Apr 13 23:58:26 2017  begin with 184067896 relations and 172626651 unique ideals
  301. Thu Apr 13 23:59:34 2017  reduce to 183880994 relations and 167562551 ideals in 6 passes
  302. Thu Apr 13 23:59:34 2017  max relations containing the same ideal: 104
  303. Fri Apr 14 00:00:38 2017  removing 6916507 relations and 4916507 ideals in 2000000 cliques
  304. Fri Apr 14 00:00:42 2017  commencing in-memory singleton removal
  305. Fri Apr 14 00:00:53 2017  begin with 176964487 relations and 167562551 unique ideals
  306. Fri Apr 14 00:01:58 2017  reduce to 176769111 relations and 162448562 ideals in 6 passes
  307. Fri Apr 14 00:01:58 2017  max relations containing the same ideal: 102
  308. Fri Apr 14 00:03:00 2017  removing 6967348 relations and 4967348 ideals in 2000000 cliques
  309. Fri Apr 14 00:03:04 2017  commencing in-memory singleton removal
  310. Fri Apr 14 00:03:14 2017  begin with 169801763 relations and 162448562 unique ideals
  311. Fri Apr 14 00:04:27 2017  reduce to 169596053 relations and 157273181 ideals in 7 passes
  312. Fri Apr 14 00:04:27 2017  max relations containing the same ideal: 100
  313. Fri Apr 14 00:05:27 2017  removing 7020216 relations and 5020216 ideals in 2000000 cliques
  314. Fri Apr 14 00:05:31 2017  commencing in-memory singleton removal
  315. Fri Apr 14 00:05:40 2017  begin with 162575837 relations and 157273181 unique ideals
  316. Fri Apr 14 00:06:50 2017  reduce to 162357945 relations and 152032606 ideals in 7 passes
  317. Fri Apr 14 00:06:50 2017  max relations containing the same ideal: 95
  318. Fri Apr 14 00:07:48 2017  removing 7087807 relations and 5087807 ideals in 2000000 cliques
  319. Fri Apr 14 00:07:51 2017  commencing in-memory singleton removal
  320. Fri Apr 14 00:08:00 2017  begin with 155270138 relations and 152032606 unique ideals
  321. Fri Apr 14 00:09:06 2017  reduce to 155038019 relations and 146709996 ideals in 7 passes
  322. Fri Apr 14 00:09:06 2017  max relations containing the same ideal: 92
  323. Fri Apr 14 00:10:01 2017  removing 7159539 relations and 5159539 ideals in 2000000 cliques
  324. Fri Apr 14 00:10:05 2017  commencing in-memory singleton removal
  325. Fri Apr 14 00:10:13 2017  begin with 147878480 relations and 146709996 unique ideals
  326. Fri Apr 14 00:11:17 2017  reduce to 147628442 relations and 141297408 ideals in 7 passes
  327. Fri Apr 14 00:11:17 2017  max relations containing the same ideal: 89
  328. Fri Apr 14 00:12:09 2017  removing 7241882 relations and 5241882 ideals in 2000000 cliques
  329. Fri Apr 14 00:12:13 2017  commencing in-memory singleton removal
  330. Fri Apr 14 00:12:21 2017  begin with 140386560 relations and 141297408 unique ideals
  331. Fri Apr 14 00:13:13 2017  reduce to 140117835 relations and 135783579 ideals in 6 passes
  332. Fri Apr 14 00:13:13 2017  max relations containing the same ideal: 85
  333. Fri Apr 14 00:14:03 2017  removing 2851983 relations and 2212896 ideals in 639087 cliques
  334. Fri Apr 14 00:14:06 2017  commencing in-memory singleton removal
  335. Fri Apr 14 00:14:14 2017  begin with 137265852 relations and 135783579 unique ideals
  336. Fri Apr 14 00:15:21 2017  reduce to 137226789 relations and 133531464 ideals in 8 passes
  337. Fri Apr 14 00:15:21 2017  max relations containing the same ideal: 83
  338. Fri Apr 14 00:16:33 2017  relations with 0 large ideals: 244559
  339. Fri Apr 14 00:16:33 2017  relations with 1 large ideals: 75370
  340. Fri Apr 14 00:16:33 2017  relations with 2 large ideals: 783233
  341. Fri Apr 14 00:16:33 2017  relations with 3 large ideals: 4476119
  342. Fri Apr 14 00:16:33 2017  relations with 4 large ideals: 14371769
  343. Fri Apr 14 00:16:33 2017  relations with 5 large ideals: 28203351
  344. Fri Apr 14 00:16:33 2017  relations with 6 large ideals: 35458390
  345. Fri Apr 14 00:16:33 2017  relations with 7+ large ideals: 53613998
  346. Fri Apr 14 00:16:33 2017  commencing 2-way merge
  347. Fri Apr 14 00:17:42 2017  reduce to 91551512 relation sets and 87856187 unique ideals
  348. Fri Apr 14 00:17:42 2017  commencing full merge
  349. Fri Apr 14 00:50:44 2017  memory use: 11719.7 MB
  350. Fri Apr 14 00:50:54 2017  found 40872743 cycles, need 40554387
  351. Fri Apr 14 00:51:09 2017  weight of 40554387 cycles is about 5272757564 (130.02/cycle)
  352. Fri Apr 14 00:51:09 2017  distribution of cycle lengths:
  353. Fri Apr 14 00:51:09 2017  1 relations: 1847325
  354. Fri Apr 14 00:51:09 2017  2 relations: 2151846
  355. Fri Apr 14 00:51:09 2017  3 relations: 2588190
  356. Fri Apr 14 00:51:09 2017  4 relations: 2758856
  357. Fri Apr 14 00:51:09 2017  5 relations: 2914640
  358. Fri Apr 14 00:51:09 2017  6 relations: 2930272
  359. Fri Apr 14 00:51:09 2017  7 relations: 2926293
  360. Fri Apr 14 00:51:09 2017  8 relations: 2838032
  361. Fri Apr 14 00:51:09 2017  9 relations: 2706741
  362. Fri Apr 14 00:51:09 2017  10+ relations: 16892192
  363. Fri Apr 14 00:51:09 2017  heaviest cycle: 28 relations
  364. Fri Apr 14 00:51:20 2017  commencing cycle optimization
  365. Fri Apr 14 00:52:40 2017  start with 364220335 relations
  366. Fri Apr 14 01:05:54 2017  pruned 16939586 relations
  367. Fri Apr 14 01:05:54 2017  memory use: 9442.0 MB
  368. Fri Apr 14 01:05:55 2017  distribution of cycle lengths:
  369. Fri Apr 14 01:05:55 2017  1 relations: 1847325
  370. Fri Apr 14 01:05:55 2017  2 relations: 2205678
  371. Fri Apr 14 01:05:55 2017  3 relations: 2700992
  372. Fri Apr 14 01:05:55 2017  4 relations: 2883417
  373. Fri Apr 14 01:05:55 2017  5 relations: 3070226
  374. Fri Apr 14 01:05:55 2017  6 relations: 3083748
  375. Fri Apr 14 01:05:55 2017  7 relations: 3090838
  376. Fri Apr 14 01:05:55 2017  8 relations: 2986189
  377. Fri Apr 14 01:05:55 2017  9 relations: 2845901
  378. Fri Apr 14 01:05:55 2017  10+ relations: 15840073
  379. Fri Apr 14 01:05:55 2017  heaviest cycle: 28 relations
  380. Fri Apr 14 01:07:32 2017  RelProcTime: 41455
  381. Fri Apr 14 01:07:32 2017  elapsed time 11:30:57
  382. Fri Apr 14 14:58:36 2017  
  383. Fri Apr 14 14:58:37 2017  
  384. Fri Apr 14 14:58:37 2017  Msieve v. 1.53 (SVN 993M)
  385. Fri Apr 14 14:58:37 2017  random seeds: 2e495694 5707b41d
  386. Fri Apr 14 14:58:37 2017  MPI process 0 of 16
  387. Fri Apr 14 14:58:37 2017  factoring 443294382278497472255663674471957877977758300410341891136991228486181404534835434386411375536896677973990507418833214428213214395954944104971992919018640367376198808336191148664089834528609782551242985222049760608843253 (219 digits)
  388. Fri Apr 14 14:58:39 2017  no P-1/P+1/ECM available, skipping
  389. Fri Apr 14 14:58:39 2017  commencing number field sieve (219-digit input)
  390. Fri Apr 14 14:58:39 2017  R0: -125236737537878753441860054533045969266612127846243
  391. Fri Apr 14 14:58:39 2017  R1: 1
  392. Fri Apr 14 14:58:39 2017  A0: 1
  393. Fri Apr 14 14:58:39 2017  A1: 0
  394. Fri Apr 14 14:58:39 2017  A2: 0
  395. Fri Apr 14 14:58:39 2017  A3: 0
  396. Fri Apr 14 14:58:39 2017  A4: 0
  397. Fri Apr 14 14:58:39 2017  A5: 0
  398. Fri Apr 14 14:58:39 2017  A6: 3
  399. Fri Apr 14 14:58:39 2017  skew 1.00, size 7.646e-15, alpha 2.596, combined = 2.745e-15 rroots = 0
  400. Fri Apr 14 14:58:39 2017  
  401. Fri Apr 14 14:58:39 2017  commencing linear algebra
  402. Fri Apr 14 14:58:39 2017  initialized process (0,0) of 4 x 4 grid
  403. Fri Apr 14 14:59:35 2017  read 40554387 cycles
  404. Fri Apr 14 15:00:45 2017  cycles contain 135626081 unique relations
  405. Fri Apr 14 15:32:02 2017  read 135626081 relations
  406. Fri Apr 14 15:36:46 2017  using 20 quadratic characters above 4294917295
  407. Fri Apr 14 15:48:05 2017  building initial matrix
  408. Fri Apr 14 16:26:02 2017  memory use: 17864.4 MB
  409. Fri Apr 14 16:27:46 2017  read 40554387 cycles
  410. Fri Apr 14 16:27:53 2017  matrix is 40554210 x 40554387 (20486.4 MB) with weight 5770672222 (142.29/col)
  411. Fri Apr 14 16:27:53 2017  sparse part has weight 4924300918 (121.42/col)
  412. Fri Apr 14 16:36:59 2017  filtering completed in 2 passes
  413. Fri Apr 14 16:37:08 2017  matrix is 40553360 x 40553537 (20486.4 MB) with weight 5770645822 (142.30/col)
  414. Fri Apr 14 16:37:08 2017  sparse part has weight 4924291224 (121.43/col)
  415. Fri Apr 14 16:45:25 2017  matrix starts at (0, 0)
  416. Fri Apr 14 16:45:26 2017  matrix is 10138424 x 9547134 (1687.9 MB) with weight 533799720 (55.91/col)
  417. Fri Apr 14 16:45:26 2017  sparse part has weight 337459386 (35.35/col)
  418. Fri Apr 14 16:45:26 2017  saving the first 48 matrix rows for later
  419. Fri Apr 14 16:45:27 2017  matrix includes 64 packed rows
  420. Fri Apr 14 16:51:01 2017  matrix is 10138376 x 9547134 (1501.6 MB) with weight 366856070 (38.43/col)
  421. Fri Apr 14 16:51:01 2017  sparse part has weight 298157975 (31.23/col)
  422. Fri Apr 14 16:51:01 2017  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  423. Fri Apr 14 16:51:17 2017  commencing Lanczos iteration (24 threads)
  424. Fri Apr 14 16:51:17 2017  memory use: 1401.5 MB
  425. Fri Apr 14 16:51:27 2017  linear algebra at 0.0%, ETA 59h12m
  426. Fri Apr 14 16:51:30 2017  checkpointing every 670000 dimensions
  427. Mon Apr 17 08:06:41 2017  lanczos halted after 641311 iterations (dim = 40553307)
  428. Mon Apr 17 08:07:20 2017  recovered 35 nontrivial dependencies
  429. Mon Apr 17 08:07:28 2017  BLanczosTime: 234529
  430. Mon Apr 17 08:07:28 2017  elapsed time 65:08:51
  431. Tue Apr 25 23:53:53 2017  
  432. Tue Apr 25 23:53:53 2017  
  433. Tue Apr 25 23:53:53 2017  Msieve v. 1.53 (SVN 993M)
  434. Tue Apr 25 23:53:53 2017  random seeds: 25505f04 4778e77f
  435. Tue Apr 25 23:53:53 2017  MPI process 0 of 1
  436. Tue Apr 25 23:53:53 2017  factoring 443294382278497472255663674471957877977758300410341891136991228486181404534835434386411375536896677973990507418833214428213214395954944104971992919018640367376198808336191148664089834528609782551242985222049760608843253 (219 digits)
  437. Tue Apr 25 23:53:55 2017  no P-1/P+1/ECM available, skipping
  438. Tue Apr 25 23:53:55 2017  commencing number field sieve (219-digit input)
  439. Tue Apr 25 23:53:55 2017  R0: -125236737537878753441860054533045969266612127846243
  440. Tue Apr 25 23:53:55 2017  R1: 1
  441. Tue Apr 25 23:53:55 2017  A0: 1
  442. Tue Apr 25 23:53:55 2017  A1: 0
  443. Tue Apr 25 23:53:55 2017  A2: 0
  444. Tue Apr 25 23:53:55 2017  A3: 0
  445. Tue Apr 25 23:53:55 2017  A4: 0
  446. Tue Apr 25 23:53:55 2017  A5: 0
  447. Tue Apr 25 23:53:55 2017  A6: 3
  448. Tue Apr 25 23:53:55 2017  skew 1.00, size 7.646e-15, alpha 2.596, combined = 2.745e-15 rroots = 0
  449. Tue Apr 25 23:53:55 2017  
  450. Tue Apr 25 23:53:55 2017  commencing square root phase
  451. Tue Apr 25 23:53:55 2017  reading relations for dependency 1
  452. Tue Apr 25 23:55:54 2017  read 20276610 cycles
  453. Tue Apr 25 23:56:29 2017  cycles contain 67816492 unique relations
  454. Wed Apr 26 00:46:31 2017  read 67816492 relations
  455. Wed Apr 26 00:51:08 2017  multiplying 67816492 relations
  456. Wed Apr 26 01:48:58 2017  multiply complete, coefficients have about 2000.83 million bits
  457. Wed Apr 26 01:49:05 2017  warning: no irreducible prime found, switching to small primes
  458. Wed Apr 26 01:49:05 2017  initial square root is modulo 53
  459. Wed Apr 26 03:24:37 2017  Newton iteration failed to converge
  460. Wed Apr 26 03:24:37 2017  algebraic square root failed
  461. Wed Apr 26 03:24:37 2017  reading relations for dependency 2
  462. Wed Apr 26 03:25:33 2017  read 20284140 cycles
  463. Wed Apr 26 03:26:08 2017  cycles contain 67826818 unique relations
  464. Wed Apr 26 03:51:20 2017  read 67826818 relations
  465. Wed Apr 26 03:56:38 2017  multiplying 67826818 relations
  466. Wed Apr 26 04:54:35 2017  multiply complete, coefficients have about 2001.10 million bits
  467. Wed Apr 26 04:54:42 2017  warning: no irreducible prime found, switching to small primes
  468. Wed Apr 26 04:54:43 2017  initial square root is modulo 53
  469. Wed Apr 26 06:30:44 2017  Newton iteration failed to converge
  470. Wed Apr 26 06:30:44 2017  algebraic square root failed
  471. Wed Apr 26 06:30:44 2017  reading relations for dependency 3
  472. Wed Apr 26 06:31:52 2017  read 20271322 cycles
  473. Wed Apr 26 06:32:27 2017  cycles contain 67804524 unique relations
  474. Wed Apr 26 06:55:16 2017  read 67804524 relations
  475. Wed Apr 26 07:00:34 2017  multiplying 67804524 relations
  476. Wed Apr 26 07:58:23 2017  multiply complete, coefficients have about 2000.44 million bits
  477. Wed Apr 26 07:58:31 2017  warning: no irreducible prime found, switching to small primes
  478. Wed Apr 26 07:58:31 2017  initial square root is modulo 53
  479. Wed Apr 26 09:34:52 2017  sqrtTime: 34857
  480. Wed Apr 26 09:34:52 2017  p72 factor: 661744421719350417964892910308146398980799692115145399069401549047107849
  481. Wed Apr 26 09:34:52 2017  p147 factor: 669887599697064234749448152700206261837340543852216559410751782908301003586669710935093915725943861106350191357306421658176902645341686610977453197
  482. Wed Apr 26 09:34:52 2017  elapsed time 09:40:59
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