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  1. Mon Sep 11 00:00:27 2017  
  2. Mon Sep 11 00:00:27 2017  
  3. Mon Sep 11 00:00:27 2017  Msieve v. 1.53 (SVN 993M)
  4. Mon Sep 11 00:00:27 2017  random seeds: 16b316cd 2570e065
  5. Mon Sep 11 00:00:27 2017  MPI process 0 of 1
  6. Mon Sep 11 00:00:27 2017  factoring 2414843306396518063725226483997501849724489139171973804626737433040664486558392253565000332785338603111232050957788379045287378848481146336990567735468927404931352930650493251476750745458078413796670963719779909140308612017172719541690422919065260366507475099840047951 (268 digits)
  7. Mon Sep 11 00:00:29 2017  no P-1/P+1/ECM available, skipping
  8. Mon Sep 11 00:00:29 2017  commencing number field sieve (268-digit input)
  9. Mon Sep 11 00:00:30 2017  R0: -1292469707114105741986576081359316958696581423282623291015626
  10. Mon Sep 11 00:00:30 2017  R1: 1136868377216160297393798828125
  11. Mon Sep 11 00:00:30 2017  A0: 1
  12. Mon Sep 11 00:00:30 2017  A1: 3
  13. Mon Sep 11 00:00:30 2017  A2: -3
  14. Mon Sep 11 00:00:30 2017  A3: -4
  15. Mon Sep 11 00:00:30 2017  A4: 1
  16. Mon Sep 11 00:00:30 2017  A5: 1
  17. Mon Sep 11 00:00:30 2017  skew 1.00, size 2.335e-20, alpha 2.379, combined = 5.993e-16 rroots = 5
  18. Mon Sep 11 00:00:30 2017  
  19. Mon Sep 11 00:00:30 2017  commencing relation filtering
  20. Mon Sep 11 00:00:30 2017  setting target matrix density to 130.0
  21. Mon Sep 11 00:00:30 2017  estimated available RAM is 258443.6 MB
  22. Mon Sep 11 00:00:30 2017  commencing duplicate removal, pass 1
  23. Mon Sep 11 00:00:34 2017  error -1 reading relation 428337
  24. Mon Sep 11 00:01:07 2017  error -1 reading relation 3951299
  25. Mon Sep 11 00:04:24 2017  error -1 reading relation 25241680
  26. Mon Sep 11 00:06:37 2017  error -1 reading relation 39566285
  27. Mon Sep 11 00:07:24 2017  error -1 reading relation 44621488
  28. Mon Sep 11 00:08:24 2017  error -5 reading relation 51153369
  29. Mon Sep 11 00:10:37 2017  error -5 reading relation 65467819
  30. Mon Sep 11 00:13:43 2017  error -1 reading relation 85486267
  31. Mon Sep 11 00:16:32 2017  error -1 reading relation 103802526
  32. Mon Sep 11 00:16:47 2017  error -15 reading relation 105344945
  33. Mon Sep 11 00:19:08 2017  error -1 reading relation 120603528
  34. Mon Sep 11 00:26:26 2017  error -5 reading relation 167823636
  35. Mon Sep 11 00:27:47 2017  error -1 reading relation 176560745
  36. Mon Sep 11 00:29:28 2017  error -11 reading relation 187428462
  37. Mon Sep 11 00:30:17 2017  error -1 reading relation 192751471
  38. Mon Sep 11 00:34:44 2017  error -1 reading relation 221504295
  39. Mon Sep 11 00:37:13 2017  error -1 reading relation 237546049
  40. Mon Sep 11 00:40:10 2017  error -1 reading relation 256632808
  41. Mon Sep 11 00:43:23 2017  error -1 reading relation 277429469
  42. Mon Sep 11 00:44:01 2017  error -1 reading relation 281490631
  43. Mon Sep 11 00:51:01 2017  error -1 reading relation 326634049
  44. Mon Sep 11 00:51:01 2017  error -1 reading relation 326634050
  45. Mon Sep 11 00:51:01 2017  error -1 reading relation 326634051
  46. Mon Sep 11 00:51:01 2017  error -1 reading relation 326634052
  47. Mon Sep 11 00:51:01 2017  error -1 reading relation 326634053
  48. Mon Sep 11 00:52:54 2017  error -1 reading relation 338835656
  49. Mon Sep 11 00:58:22 2017  error -1 reading relation 374056284
  50. Mon Sep 11 00:59:25 2017  error -1 reading relation 380810167
  51. Mon Sep 11 01:00:13 2017  error -1 reading relation 385992593
  52. Mon Sep 11 01:04:36 2017  error -1 reading relation 414289137
  53. Mon Sep 11 01:07:25 2017  error -1 reading relation 432507826
  54. Mon Sep 11 01:07:39 2017  error -1 reading relation 433921379
  55. Mon Sep 11 01:14:49 2017  error -11 reading relation 480119605
  56. Mon Sep 11 01:16:16 2017  error -1 reading relation 489527479
  57. Mon Sep 11 01:22:00 2017  error -11 reading relation 526491471
  58. Mon Sep 11 01:23:04 2017  error -1 reading relation 533435971
  59. Mon Sep 11 01:28:07 2017  error -1 reading relation 565897442
  60. Mon Sep 11 01:39:48 2017  error -1 reading relation 641255308
  61. Mon Sep 11 01:40:12 2017  error -1 reading relation 643815600
  62. Mon Sep 11 01:49:09 2017  error -1 reading relation 701461614
  63. Mon Sep 11 01:52:38 2017  error -1 reading relation 723862265
  64. Mon Sep 11 01:56:47 2017  error -1 reading relation 750724244
  65. Mon Sep 11 02:02:01 2017  error -1 reading relation 784369115
  66. Mon Sep 11 02:03:05 2017  error -1 reading relation 791201249
  67. Mon Sep 11 02:11:07 2017  error -1 reading relation 843127736
  68. Mon Sep 11 02:15:23 2017  skipped 665795 relations with b > 2^32
  69. Mon Sep 11 02:15:24 2017  skipped 1 relations with composite factors
  70. Mon Sep 11 02:15:24 2017  found 192918926 hash collisions in 869962963 relations
  71. Mon Sep 11 02:15:33 2017  added 2926300 free relations
  72. Mon Sep 11 02:15:34 2017  commencing duplicate removal, pass 2
  73. Mon Sep 11 02:33:19 2017  found 138032863 duplicates and 734856400 unique relations
  74. Mon Sep 11 02:33:19 2017  memory use: 4518.0 MB
  75. Mon Sep 11 02:33:19 2017  reading ideals above 720000
  76. Mon Sep 11 02:33:19 2017  commencing singleton removal, initial pass
  77. Mon Sep 11 04:49:10 2017  memory use: 21024.0 MB
  78. Mon Sep 11 04:49:13 2017  reading all ideals from disk
  79. Mon Sep 11 04:49:35 2017  memory use: 34044.8 MB
  80. Mon Sep 11 04:51:50 2017  keeping 666893427 ideals with weight <= 200, target excess is 4207551
  81. Mon Sep 11 04:54:16 2017  commencing in-memory singleton removal
  82. Mon Sep 11 04:55:43 2017  begin with 734856400 relations and 666893427 unique ideals
  83. Mon Sep 11 05:12:18 2017  reduce to 506524370 relations and 418021172 ideals in 14 passes
  84. Mon Sep 11 05:12:18 2017  max relations containing the same ideal: 167
  85. Mon Sep 11 05:17:26 2017  removing 14680892 relations and 12680892 ideals in 2000000 cliques
  86. Mon Sep 11 05:17:36 2017  commencing in-memory singleton removal
  87. Mon Sep 11 05:18:36 2017  begin with 491843478 relations and 418021172 unique ideals
  88. Mon Sep 11 05:26:14 2017  reduce to 491532093 relations and 405027062 ideals in 7 passes
  89. Mon Sep 11 05:26:14 2017  max relations containing the same ideal: 164
  90. Mon Sep 11 05:31:13 2017  removing 11123856 relations and 9123856 ideals in 2000000 cliques
  91. Mon Sep 11 05:31:23 2017  commencing in-memory singleton removal
  92. Mon Sep 11 05:32:20 2017  begin with 480408237 relations and 405027062 unique ideals
  93. Mon Sep 11 05:39:44 2017  reduce to 480211033 relations and 395705095 ideals in 7 passes
  94. Mon Sep 11 05:39:44 2017  max relations containing the same ideal: 162
  95. Mon Sep 11 05:44:33 2017  removing 9985341 relations and 7985341 ideals in 2000000 cliques
  96. Mon Sep 11 05:44:43 2017  commencing in-memory singleton removal
  97. Mon Sep 11 05:45:39 2017  begin with 470225692 relations and 395705095 unique ideals
  98. Mon Sep 11 05:52:52 2017  reduce to 470060223 relations and 387553518 ideals in 7 passes
  99. Mon Sep 11 05:52:52 2017  max relations containing the same ideal: 158
  100. Mon Sep 11 05:57:35 2017  removing 9326647 relations and 7326647 ideals in 2000000 cliques
  101. Mon Sep 11 05:57:45 2017  commencing in-memory singleton removal
  102. Mon Sep 11 05:58:39 2017  begin with 460733576 relations and 387553518 unique ideals
  103. Mon Sep 11 06:04:42 2017  reduce to 460584600 relations and 380077255 ideals in 6 passes
  104. Mon Sep 11 06:04:42 2017  max relations containing the same ideal: 155
  105. Mon Sep 11 06:09:20 2017  removing 8882475 relations and 6882475 ideals in 2000000 cliques
  106. Mon Sep 11 06:09:30 2017  commencing in-memory singleton removal
  107. Mon Sep 11 06:10:23 2017  begin with 451702125 relations and 380077255 unique ideals
  108. Mon Sep 11 06:16:20 2017  reduce to 451563603 relations and 373055619 ideals in 6 passes
  109. Mon Sep 11 06:16:20 2017  max relations containing the same ideal: 154
  110. Mon Sep 11 06:20:53 2017  removing 8552477 relations and 6552477 ideals in 2000000 cliques
  111. Mon Sep 11 06:21:03 2017  commencing in-memory singleton removal
  112. Mon Sep 11 06:21:55 2017  begin with 443011126 relations and 373055619 unique ideals
  113. Mon Sep 11 06:28:42 2017  reduce to 442879758 relations and 366371205 ideals in 7 passes
  114. Mon Sep 11 06:28:42 2017  max relations containing the same ideal: 152
  115. Mon Sep 11 06:33:10 2017  removing 8299434 relations and 6299434 ideals in 2000000 cliques
  116. Mon Sep 11 06:33:19 2017  commencing in-memory singleton removal
  117. Mon Sep 11 06:34:11 2017  begin with 434580324 relations and 366371205 unique ideals
  118. Mon Sep 11 06:39:52 2017  reduce to 434453495 relations and 359944385 ideals in 6 passes
  119. Mon Sep 11 06:39:52 2017  max relations containing the same ideal: 151
  120. Mon Sep 11 06:44:15 2017  removing 8093526 relations and 6093526 ideals in 2000000 cliques
  121. Mon Sep 11 06:44:24 2017  commencing in-memory singleton removal
  122. Mon Sep 11 06:45:14 2017  begin with 426359969 relations and 359944385 unique ideals
  123. Mon Sep 11 06:51:48 2017  reduce to 426236564 relations and 353726936 ideals in 7 passes
  124. Mon Sep 11 06:51:48 2017  max relations containing the same ideal: 148
  125. Mon Sep 11 06:56:07 2017  removing 7925700 relations and 5925700 ideals in 2000000 cliques
  126. Mon Sep 11 06:56:16 2017  commencing in-memory singleton removal
  127. Mon Sep 11 06:57:05 2017  begin with 418310864 relations and 353726936 unique ideals
  128. Mon Sep 11 07:02:34 2017  reduce to 418188833 relations and 347678665 ideals in 6 passes
  129. Mon Sep 11 07:02:34 2017  max relations containing the same ideal: 145
  130. Mon Sep 11 07:06:49 2017  removing 7787807 relations and 5787807 ideals in 2000000 cliques
  131. Mon Sep 11 07:06:57 2017  commencing in-memory singleton removal
  132. Mon Sep 11 07:07:45 2017  begin with 410401026 relations and 347678665 unique ideals
  133. Mon Sep 11 07:13:07 2017  reduce to 410282234 relations and 341771521 ideals in 6 passes
  134. Mon Sep 11 07:13:07 2017  max relations containing the same ideal: 144
  135. Mon Sep 11 07:17:17 2017  removing 7665449 relations and 5665449 ideals in 2000000 cliques
  136. Mon Sep 11 07:17:25 2017  commencing in-memory singleton removal
  137. Mon Sep 11 07:18:13 2017  begin with 402616785 relations and 341771521 unique ideals
  138. Mon Sep 11 07:23:29 2017  reduce to 402497998 relations and 335986761 ideals in 6 passes
  139. Mon Sep 11 07:23:29 2017  max relations containing the same ideal: 142
  140. Mon Sep 11 07:27:34 2017  removing 7567513 relations and 5567513 ideals in 2000000 cliques
  141. Mon Sep 11 07:27:42 2017  commencing in-memory singleton removal
  142. Mon Sep 11 07:28:29 2017  begin with 394930485 relations and 335986761 unique ideals
  143. Mon Sep 11 07:33:40 2017  reduce to 394813598 relations and 330301788 ideals in 6 passes
  144. Mon Sep 11 07:33:40 2017  max relations containing the same ideal: 140
  145. Mon Sep 11 07:37:41 2017  removing 7482981 relations and 5482981 ideals in 2000000 cliques
  146. Mon Sep 11 07:37:50 2017  commencing in-memory singleton removal
  147. Mon Sep 11 07:38:35 2017  begin with 387330617 relations and 330301788 unique ideals
  148. Mon Sep 11 07:43:38 2017  reduce to 387214326 relations and 324701921 ideals in 6 passes
  149. Mon Sep 11 07:43:38 2017  max relations containing the same ideal: 139
  150. Mon Sep 11 07:47:35 2017  removing 7407222 relations and 5407222 ideals in 2000000 cliques
  151. Mon Sep 11 07:47:43 2017  commencing in-memory singleton removal
  152. Mon Sep 11 07:48:28 2017  begin with 379807104 relations and 324701921 unique ideals
  153. Mon Sep 11 07:53:25 2017  reduce to 379692537 relations and 319179565 ideals in 6 passes
  154. Mon Sep 11 07:53:25 2017  max relations containing the same ideal: 137
  155. Mon Sep 11 07:57:18 2017  removing 7343654 relations and 5343654 ideals in 2000000 cliques
  156. Mon Sep 11 07:57:25 2017  commencing in-memory singleton removal
  157. Mon Sep 11 07:58:09 2017  begin with 372348883 relations and 319179565 unique ideals
  158. Mon Sep 11 08:03:00 2017  reduce to 372232299 relations and 313718694 ideals in 6 passes
  159. Mon Sep 11 08:03:00 2017  max relations containing the same ideal: 135
  160. Mon Sep 11 08:06:48 2017  removing 7288497 relations and 5288497 ideals in 2000000 cliques
  161. Mon Sep 11 08:06:56 2017  commencing in-memory singleton removal
  162. Mon Sep 11 08:07:38 2017  begin with 364943802 relations and 313718694 unique ideals
  163. Mon Sep 11 08:12:26 2017  reduce to 364827671 relations and 308313462 ideals in 6 passes
  164. Mon Sep 11 08:12:26 2017  max relations containing the same ideal: 132
  165. Mon Sep 11 08:16:10 2017  removing 7239767 relations and 5239767 ideals in 2000000 cliques
  166. Mon Sep 11 08:16:18 2017  commencing in-memory singleton removal
  167. Mon Sep 11 08:17:00 2017  begin with 357587904 relations and 308313462 unique ideals
  168. Mon Sep 11 08:21:39 2017  reduce to 357470592 relations and 302955667 ideals in 6 passes
  169. Mon Sep 11 08:21:39 2017  max relations containing the same ideal: 131
  170. Mon Sep 11 08:25:19 2017  removing 7195930 relations and 5195930 ideals in 2000000 cliques
  171. Mon Sep 11 08:25:26 2017  commencing in-memory singleton removal
  172. Mon Sep 11 08:26:07 2017  begin with 350274662 relations and 302955667 unique ideals
  173. Mon Sep 11 08:30:40 2017  reduce to 350157129 relations and 297641543 ideals in 6 passes
  174. Mon Sep 11 08:30:40 2017  max relations containing the same ideal: 129
  175. Mon Sep 11 08:34:16 2017  removing 7158081 relations and 5158081 ideals in 2000000 cliques
  176. Mon Sep 11 08:34:23 2017  commencing in-memory singleton removal
  177. Mon Sep 11 08:35:03 2017  begin with 342999048 relations and 297641543 unique ideals
  178. Mon Sep 11 08:39:30 2017  reduce to 342880834 relations and 292364573 ideals in 6 passes
  179. Mon Sep 11 08:39:30 2017  max relations containing the same ideal: 128
  180. Mon Sep 11 08:43:01 2017  removing 7126847 relations and 5126847 ideals in 2000000 cliques
  181. Mon Sep 11 08:43:09 2017  commencing in-memory singleton removal
  182. Mon Sep 11 08:43:48 2017  begin with 335753987 relations and 292364573 unique ideals
  183. Mon Sep 11 08:48:13 2017  reduce to 335634349 relations and 287117335 ideals in 6 passes
  184. Mon Sep 11 08:48:13 2017  max relations containing the same ideal: 127
  185. Mon Sep 11 08:51:41 2017  removing 7102253 relations and 5102253 ideals in 2000000 cliques
  186. Mon Sep 11 08:51:48 2017  commencing in-memory singleton removal
  187. Mon Sep 11 08:52:26 2017  begin with 328532096 relations and 287117335 unique ideals
  188. Mon Sep 11 08:56:42 2017  reduce to 328411391 relations and 281893614 ideals in 6 passes
  189. Mon Sep 11 08:56:42 2017  max relations containing the same ideal: 125
  190. Mon Sep 11 09:00:05 2017  removing 7077616 relations and 5077616 ideals in 2000000 cliques
  191. Mon Sep 11 09:00:12 2017  commencing in-memory singleton removal
  192. Mon Sep 11 09:00:50 2017  begin with 321333775 relations and 281893614 unique ideals
  193. Mon Sep 11 09:05:41 2017  reduce to 321211511 relations and 276692948 ideals in 7 passes
  194. Mon Sep 11 09:05:41 2017  max relations containing the same ideal: 124
  195. Mon Sep 11 09:09:00 2017  removing 7057874 relations and 5057874 ideals in 2000000 cliques
  196. Mon Sep 11 09:09:07 2017  commencing in-memory singleton removal
  197. Mon Sep 11 09:09:43 2017  begin with 314153637 relations and 276692948 unique ideals
  198. Mon Sep 11 09:13:47 2017  reduce to 314029315 relations and 271509960 ideals in 6 passes
  199. Mon Sep 11 09:13:47 2017  max relations containing the same ideal: 121
  200. Mon Sep 11 09:17:02 2017  removing 7040250 relations and 5040250 ideals in 2000000 cliques
  201. Mon Sep 11 09:17:08 2017  commencing in-memory singleton removal
  202. Mon Sep 11 09:17:44 2017  begin with 306989065 relations and 271509960 unique ideals
  203. Mon Sep 11 09:21:42 2017  reduce to 306863609 relations and 266343376 ideals in 6 passes
  204. Mon Sep 11 09:21:42 2017  max relations containing the same ideal: 119
  205. Mon Sep 11 09:24:53 2017  removing 7032060 relations and 5032060 ideals in 2000000 cliques
  206. Mon Sep 11 09:24:59 2017  commencing in-memory singleton removal
  207. Mon Sep 11 09:25:34 2017  begin with 299831549 relations and 266343376 unique ideals
  208. Mon Sep 11 09:28:49 2017  reduce to 299703178 relations and 261182046 ideals in 5 passes
  209. Mon Sep 11 09:28:49 2017  max relations containing the same ideal: 117
  210. Mon Sep 11 09:31:56 2017  removing 7022046 relations and 5022046 ideals in 2000000 cliques
  211. Mon Sep 11 09:32:02 2017  commencing in-memory singleton removal
  212. Mon Sep 11 09:32:36 2017  begin with 292681132 relations and 261182046 unique ideals
  213. Mon Sep 11 09:36:23 2017  reduce to 292550457 relations and 256028373 ideals in 6 passes
  214. Mon Sep 11 09:36:23 2017  max relations containing the same ideal: 116
  215. Mon Sep 11 09:39:25 2017  removing 7015189 relations and 5015189 ideals in 2000000 cliques
  216. Mon Sep 11 09:39:31 2017  commencing in-memory singleton removal
  217. Mon Sep 11 09:40:04 2017  begin with 285535268 relations and 256028373 unique ideals
  218. Mon Sep 11 09:43:45 2017  reduce to 285402414 relations and 250879397 ideals in 6 passes
  219. Mon Sep 11 09:43:46 2017  max relations containing the same ideal: 114
  220. Mon Sep 11 09:46:44 2017  removing 7011479 relations and 5011479 ideals in 2000000 cliques
  221. Mon Sep 11 09:46:50 2017  commencing in-memory singleton removal
  222. Mon Sep 11 09:47:22 2017  begin with 278390935 relations and 250879397 unique ideals
  223. Mon Sep 11 09:50:57 2017  reduce to 278255251 relations and 245731288 ideals in 6 passes
  224. Mon Sep 11 09:50:57 2017  max relations containing the same ideal: 112
  225. Mon Sep 11 09:53:50 2017  removing 7010678 relations and 5010678 ideals in 2000000 cliques
  226. Mon Sep 11 09:53:56 2017  commencing in-memory singleton removal
  227. Mon Sep 11 09:54:28 2017  begin with 271244573 relations and 245731288 unique ideals
  228. Mon Sep 11 09:57:59 2017  reduce to 271104592 relations and 240579571 ideals in 6 passes
  229. Mon Sep 11 09:57:59 2017  max relations containing the same ideal: 110
  230. Mon Sep 11 10:00:49 2017  removing 7012183 relations and 5012183 ideals in 2000000 cliques
  231. Mon Sep 11 10:00:55 2017  commencing in-memory singleton removal
  232. Mon Sep 11 10:01:25 2017  begin with 264092409 relations and 240579571 unique ideals
  233. Mon Sep 11 10:04:49 2017  reduce to 263949384 relations and 235423239 ideals in 6 passes
  234. Mon Sep 11 10:04:50 2017  max relations containing the same ideal: 108
  235. Mon Sep 11 10:07:35 2017  removing 7022143 relations and 5022143 ideals in 2000000 cliques
  236. Mon Sep 11 10:07:41 2017  commencing in-memory singleton removal
  237. Mon Sep 11 10:08:10 2017  begin with 256927241 relations and 235423239 unique ideals
  238. Mon Sep 11 10:11:28 2017  reduce to 256780086 relations and 230252828 ideals in 6 passes
  239. Mon Sep 11 10:11:28 2017  max relations containing the same ideal: 105
  240. Mon Sep 11 10:14:09 2017  removing 7028180 relations and 5028180 ideals in 2000000 cliques
  241. Mon Sep 11 10:14:15 2017  commencing in-memory singleton removal
  242. Mon Sep 11 10:14:44 2017  begin with 249751906 relations and 230252828 unique ideals
  243. Mon Sep 11 10:17:55 2017  reduce to 249601320 relations and 225072844 ideals in 6 passes
  244. Mon Sep 11 10:17:55 2017  max relations containing the same ideal: 103
  245. Mon Sep 11 10:20:32 2017  removing 7041815 relations and 5041815 ideals in 2000000 cliques
  246. Mon Sep 11 10:20:38 2017  commencing in-memory singleton removal
  247. Mon Sep 11 10:21:05 2017  begin with 242559505 relations and 225072844 unique ideals
  248. Mon Sep 11 10:24:46 2017  reduce to 242404445 relations and 219874644 ideals in 7 passes
  249. Mon Sep 11 10:24:46 2017  max relations containing the same ideal: 101
  250. Mon Sep 11 10:27:19 2017  removing 7058205 relations and 5058205 ideals in 2000000 cliques
  251. Mon Sep 11 10:27:24 2017  commencing in-memory singleton removal
  252. Mon Sep 11 10:27:51 2017  begin with 235346240 relations and 219874644 unique ideals
  253. Mon Sep 11 10:31:23 2017  reduce to 235184717 relations and 214653532 ideals in 7 passes
  254. Mon Sep 11 10:31:23 2017  max relations containing the same ideal: 99
  255. Mon Sep 11 10:33:51 2017  removing 7080014 relations and 5080014 ideals in 2000000 cliques
  256. Mon Sep 11 10:33:56 2017  commencing in-memory singleton removal
  257. Mon Sep 11 10:34:22 2017  begin with 228104703 relations and 214653532 unique ideals
  258. Mon Sep 11 10:37:46 2017  reduce to 227938338 relations and 209405749 ideals in 7 passes
  259. Mon Sep 11 10:37:46 2017  max relations containing the same ideal: 97
  260. Mon Sep 11 10:40:10 2017  removing 7105819 relations and 5105819 ideals in 2000000 cliques
  261. Mon Sep 11 10:40:15 2017  commencing in-memory singleton removal
  262. Mon Sep 11 10:40:40 2017  begin with 220832519 relations and 209405749 unique ideals
  263. Mon Sep 11 10:43:29 2017  reduce to 220659891 relations and 204125831 ideals in 6 passes
  264. Mon Sep 11 10:43:29 2017  max relations containing the same ideal: 95
  265. Mon Sep 11 10:45:48 2017  removing 7135679 relations and 5135679 ideals in 2000000 cliques
  266. Mon Sep 11 10:45:53 2017  commencing in-memory singleton removal
  267. Mon Sep 11 10:46:17 2017  begin with 213524212 relations and 204125831 unique ideals
  268. Mon Sep 11 10:49:27 2017  reduce to 213343984 relations and 198808296 ideals in 7 passes
  269. Mon Sep 11 10:49:27 2017  max relations containing the same ideal: 94
  270. Mon Sep 11 10:51:42 2017  removing 7174907 relations and 5174907 ideals in 2000000 cliques
  271. Mon Sep 11 10:51:47 2017  commencing in-memory singleton removal
  272. Mon Sep 11 10:52:10 2017  begin with 206169077 relations and 198808296 unique ideals
  273. Mon Sep 11 10:54:49 2017  reduce to 205980043 relations and 193442662 ideals in 6 passes
  274. Mon Sep 11 10:54:49 2017  max relations containing the same ideal: 93
  275. Mon Sep 11 10:56:59 2017  removing 7215208 relations and 5215208 ideals in 2000000 cliques
  276. Mon Sep 11 10:57:04 2017  commencing in-memory singleton removal
  277. Mon Sep 11 10:57:26 2017  begin with 198764835 relations and 193442662 unique ideals
  278. Mon Sep 11 10:59:58 2017  reduce to 198566505 relations and 188027234 ideals in 6 passes
  279. Mon Sep 11 10:59:58 2017  max relations containing the same ideal: 91
  280. Mon Sep 11 11:02:03 2017  removing 7269759 relations and 5269759 ideals in 2000000 cliques
  281. Mon Sep 11 11:02:08 2017  commencing in-memory singleton removal
  282. Mon Sep 11 11:02:30 2017  begin with 191296746 relations and 188027234 unique ideals
  283. Mon Sep 11 11:04:55 2017  reduce to 191088570 relations and 182547326 ideals in 6 passes
  284. Mon Sep 11 11:04:55 2017  max relations containing the same ideal: 88
  285. Mon Sep 11 11:06:56 2017  removing 7322233 relations and 5322233 ideals in 2000000 cliques
  286. Mon Sep 11 11:07:00 2017  commencing in-memory singleton removal
  287. Mon Sep 11 11:07:21 2017  begin with 183766337 relations and 182547326 unique ideals
  288. Mon Sep 11 11:09:40 2017  reduce to 183545371 relations and 177001996 ideals in 6 passes
  289. Mon Sep 11 11:09:40 2017  max relations containing the same ideal: 86
  290. Mon Sep 11 11:11:35 2017  removing 6328398 relations and 4665783 ideals in 1662615 cliques
  291. Mon Sep 11 11:11:40 2017  commencing in-memory singleton removal
  292. Mon Sep 11 11:12:00 2017  begin with 177216973 relations and 177001996 unique ideals
  293. Mon Sep 11 11:14:15 2017  reduce to 177044282 relations and 172162102 ideals in 6 passes
  294. Mon Sep 11 11:14:15 2017  max relations containing the same ideal: 81
  295. Mon Sep 11 11:16:36 2017  relations with 0 large ideals: 311789
  296. Mon Sep 11 11:16:36 2017  relations with 1 large ideals: 118668
  297. Mon Sep 11 11:16:36 2017  relations with 2 large ideals: 1156559
  298. Mon Sep 11 11:16:36 2017  relations with 3 large ideals: 6194289
  299. Mon Sep 11 11:16:36 2017  relations with 4 large ideals: 19304519
  300. Mon Sep 11 11:16:36 2017  relations with 5 large ideals: 37535127
  301. Mon Sep 11 11:16:36 2017  relations with 6 large ideals: 48822534
  302. Mon Sep 11 11:16:36 2017  relations with 7+ large ideals: 63600797
  303. Mon Sep 11 11:16:36 2017  commencing 2-way merge
  304. Mon Sep 11 11:19:12 2017  reduce to 120496877 relation sets and 115614697 unique ideals
  305. Mon Sep 11 11:19:12 2017  commencing full merge
  306. Mon Sep 11 12:27:56 2017  memory use: 14341.0 MB
  307. Mon Sep 11 12:28:24 2017  found 53395430 cycles, need 53018897
  308. Mon Sep 11 12:28:56 2017  weight of 53018897 cycles is about 6893207425 (130.01/cycle)
  309. Mon Sep 11 12:28:56 2017  distribution of cycle lengths:
  310. Mon Sep 11 12:28:56 2017  1 relations: 2274475
  311. Mon Sep 11 12:28:56 2017  2 relations: 2884988
  312. Mon Sep 11 12:28:56 2017  3 relations: 3517145
  313. Mon Sep 11 12:28:56 2017  4 relations: 3726492
  314. Mon Sep 11 12:28:56 2017  5 relations: 3876329
  315. Mon Sep 11 12:28:56 2017  6 relations: 3851056
  316. Mon Sep 11 12:28:56 2017  7 relations: 3798279
  317. Mon Sep 11 12:28:56 2017  8 relations: 3655343
  318. Mon Sep 11 12:28:56 2017  9 relations: 3473508
  319. Mon Sep 11 12:28:56 2017  10+ relations: 21961282
  320. Mon Sep 11 12:28:56 2017  heaviest cycle: 28 relations
  321. Mon Sep 11 12:29:24 2017  commencing cycle optimization
  322. Mon Sep 11 12:31:49 2017  start with 476890780 relations
  323. Mon Sep 11 12:55:50 2017  pruned 22787901 relations
  324. Mon Sep 11 12:55:50 2017  memory use: 12257.7 MB
  325. Mon Sep 11 12:55:50 2017  distribution of cycle lengths:
  326. Mon Sep 11 12:55:51 2017  1 relations: 2274475
  327. Mon Sep 11 12:55:51 2017  2 relations: 2963679
  328. Mon Sep 11 12:55:51 2017  3 relations: 3683372
  329. Mon Sep 11 12:55:51 2017  4 relations: 3905790
  330. Mon Sep 11 12:55:51 2017  5 relations: 4094891
  331. Mon Sep 11 12:55:51 2017  6 relations: 4055612
  332. Mon Sep 11 12:55:51 2017  7 relations: 4012093
  333. Mon Sep 11 12:55:51 2017  8 relations: 3841634
  334. Mon Sep 11 12:55:51 2017  9 relations: 3645979
  335. Mon Sep 11 12:55:51 2017  10+ relations: 20541372
  336. Mon Sep 11 12:55:51 2017  heaviest cycle: 28 relations
  337. Mon Sep 11 12:59:26 2017  RelProcTime: 46736
  338. Mon Sep 11 12:59:26 2017  elapsed time 12:58:59
  339. Mon Sep 11 15:54:06 2017  
  340. Mon Sep 11 15:54:06 2017  
  341. Mon Sep 11 15:54:06 2017  Msieve v. 1.53 (SVN 993M)
  342. Mon Sep 11 15:54:06 2017  random seeds: 7a2a5d5d 85657551
  343. Mon Sep 11 15:54:06 2017  MPI process 0 of 4
  344. Mon Sep 11 15:54:06 2017  factoring 2414843306396518063725226483997501849724489139171973804626737433040664486558392253565000332785338603111232050957788379045287378848481146336990567735468927404931352930650493251476750745458078413796670963719779909140308612017172719541690422919065260366507475099840047951 (268 digits)
  345. Mon Sep 11 15:54:08 2017  no P-1/P+1/ECM available, skipping
  346. Mon Sep 11 15:54:08 2017  commencing number field sieve (268-digit input)
  347. Mon Sep 11 15:54:08 2017  R0: -1292469707114105741986576081359316958696581423282623291015626
  348. Mon Sep 11 15:54:08 2017  R1: 1136868377216160297393798828125
  349. Mon Sep 11 15:54:08 2017  A0: 1
  350. Mon Sep 11 15:54:08 2017  A1: 3
  351. Mon Sep 11 15:54:08 2017  A2: -3
  352. Mon Sep 11 15:54:08 2017  A3: -4
  353. Mon Sep 11 15:54:09 2017  A4: 1
  354. Mon Sep 11 15:54:09 2017  A5: 1
  355. Mon Sep 11 15:54:09 2017  skew 1.00, size 2.335e-20, alpha 2.379, combined = 5.993e-16 rroots = 5
  356. Mon Sep 11 15:54:09 2017  
  357. Mon Sep 11 15:54:09 2017  commencing linear algebra
  358. Mon Sep 11 15:54:09 2017  initialized process (0,0) of 2 x 2 grid
  359. Mon Sep 11 15:54:48 2017  read 53018897 cycles
  360. Mon Sep 11 15:57:14 2017  cycles contain 174809752 unique relations
  361. Mon Sep 11 16:31:45 2017  read 174809752 relations
  362. Mon Sep 11 16:39:48 2017  using 20 quadratic characters above 4294917295
  363. Mon Sep 11 16:53:21 2017  building initial matrix
  364. Mon Sep 11 17:48:31 2017  memory use: 23627.1 MB
  365. Mon Sep 11 17:57:32 2017  read 53018897 cycles
  366. Mon Sep 11 17:57:41 2017  matrix is 53018719 x 53018897 (26801.4 MB) with weight 7592530682 (143.20/col)
  367. Mon Sep 11 17:57:41 2017  sparse part has weight 6442611416 (121.52/col)
  368. Mon Sep 11 18:15:51 2017  filtering completed in 2 passes
  369. Mon Sep 11 18:16:05 2017  matrix is 53017202 x 53017379 (26801.2 MB) with weight 7592477596 (143.21/col)
  370. Mon Sep 11 18:16:05 2017  sparse part has weight 6442590795 (121.52/col)
  371. Mon Sep 11 18:32:12 2017  matrix starts at (0, 0)
  372. Mon Sep 11 18:32:19 2017  matrix is 26508657 x 26508703 (7453.2 MB) with weight 2237169999 (84.39/col)
  373. Mon Sep 11 18:32:19 2017  sparse part has weight 1662214974 (62.70/col)
  374. Mon Sep 11 18:32:19 2017  saving the first 48 matrix rows for later
  375. Mon Sep 11 18:32:27 2017  matrix includes 64 packed rows
  376. Mon Sep 11 18:32:36 2017  matrix is 26508609 x 26508703 (6961.9 MB) with weight 1747335624 (65.92/col)
  377. Mon Sep 11 18:32:36 2017  sparse part has weight 1559931482 (58.85/col)
  378. Mon Sep 11 18:32:36 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
  379. Mon Sep 11 18:35:39 2017  commencing Lanczos iteration
  380. Mon Sep 11 18:35:39 2017  memory use: 6118.1 MB
  381. Mon Sep 11 18:55:43 2017  linear algebra at 0.0%, ETA 10008h17m
  382. Mon Sep 11 18:58:06 2017  checkpointing every 10000 dimensions
  383. Tue Sep 12 18:23:55 2017  
  384. Tue Sep 12 18:23:55 2017  
  385. Tue Sep 12 18:23:55 2017  Msieve v. 1.53 (SVN 984M)
  386. Tue Sep 12 18:23:55 2017  random seeds: 1ba148fb de09593a
  387. Tue Sep 12 18:23:55 2017  MPI process 0 of 32
  388. Tue Sep 12 18:23:55 2017  factoring 2414843306396518063725226483997501849724489139171973804626737433040664486558392253565000332785338603111232050957788379045287378848481146336990567735468927404931352930650493251476750745458078413796670963719779909140308612017172719541690422919065260366507475099840047951 (268 digits)
  389. Tue Sep 12 18:23:55 2017  commencing number field sieve (268-digit input)
  390. Tue Sep 12 18:23:55 2017  R0: -1292469707114105741986576081359316958696581423282623291015626
  391. Tue Sep 12 18:23:55 2017  R1: 1136868377216160297393798828125
  392. Tue Sep 12 18:23:55 2017  A0: 1
  393. Tue Sep 12 18:23:55 2017  A1: 3
  394. Tue Sep 12 18:23:55 2017  A2: -3
  395. Tue Sep 12 18:23:55 2017  A3: -4
  396. Tue Sep 12 18:23:55 2017  A4: 1
  397. Tue Sep 12 18:23:55 2017  A5: 1
  398. Tue Sep 12 18:23:55 2017  skew 1.00, size 2.335e-20, alpha 2.379, combined = 5.993e-16 rroots = 5
  399. Tue Sep 12 18:23:55 2017  
  400. Tue Sep 12 18:23:55 2017  commencing linear algebra
  401. Tue Sep 12 18:23:55 2017  initialized process (0,0) of 4 x 8 grid
  402. Tue Sep 12 18:24:42 2017  matrix starts at (0, 0)
  403. Tue Sep 12 18:24:43 2017  matrix is 13254386 x 5764612 (1082.3 MB) with weight 341270558 (59.20/col)
  404. Tue Sep 12 18:24:43 2017  sparse part has weight 220316259 (38.22/col)
  405. Tue Sep 12 18:24:43 2017  saving the first 48 matrix rows for later
  406. Tue Sep 12 18:24:44 2017  matrix includes 64 packed rows
  407. Tue Sep 12 18:24:47 2017  matrix is 13254338 x 5764612 (967.9 MB) with weight 239233322 (41.50/col)
  408. Tue Sep 12 18:24:47 2017  sparse part has weight 196083799 (34.02/col)
  409. Tue Sep 12 18:24:47 2017  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  410. Tue Sep 12 18:25:00 2017  commencing Lanczos iteration (8 threads)
  411. Tue Sep 12 18:25:00 2017  memory use: 1094.2 MB
  412. Tue Sep 12 18:25:14 2017  linear algebra at 0.0%, ETA 97h23m
  413. Tue Sep 12 18:25:17 2017  checkpointing every 560000 dimensions
  414. Sat Sep 16 03:32:34 2017  
  415. Sat Sep 16 03:32:34 2017  
  416. Sat Sep 16 03:32:34 2017  Msieve v. 1.53 (SVN 984M)
  417. Sat Sep 16 03:32:34 2017  random seeds: b84bcd30 65ebc93a
  418. Sat Sep 16 03:32:34 2017  MPI process 0 of 32
  419. Sat Sep 16 03:32:34 2017  factoring 2414843306396518063725226483997501849724489139171973804626737433040664486558392253565000332785338603111232050957788379045287378848481146336990567735468927404931352930650493251476750745458078413796670963719779909140308612017172719541690422919065260366507475099840047951 (268 digits)
  420. Sat Sep 16 03:32:34 2017  commencing number field sieve (268-digit input)
  421. Sat Sep 16 03:32:34 2017  R0: -1292469707114105741986576081359316958696581423282623291015626
  422. Sat Sep 16 03:32:34 2017  R1: 1136868377216160297393798828125
  423. Sat Sep 16 03:32:34 2017  A0: 1
  424. Sat Sep 16 03:32:34 2017  A1: 3
  425. Sat Sep 16 03:32:34 2017  A2: -3
  426. Sat Sep 16 03:32:34 2017  A3: -4
  427. Sat Sep 16 03:32:34 2017  A4: 1
  428. Sat Sep 16 03:32:34 2017  A5: 1
  429. Sat Sep 16 03:32:34 2017  skew 1.00, size 2.335e-20, alpha 2.379, combined = 5.993e-16 rroots = 5
  430. Sat Sep 16 03:32:34 2017  
  431. Sat Sep 16 03:32:34 2017  commencing linear algebra
  432. Sat Sep 16 03:32:34 2017  initialized process (0,0) of 4 x 8 grid
  433. Sat Sep 16 03:33:23 2017  matrix starts at (0, 0)
  434. Sat Sep 16 03:33:24 2017  matrix is 13254386 x 5764612 (1082.3 MB) with weight 341270558 (59.20/col)
  435. Sat Sep 16 03:33:24 2017  sparse part has weight 220316259 (38.22/col)
  436. Sat Sep 16 03:33:24 2017  saving the first 48 matrix rows for later
  437. Sat Sep 16 03:33:25 2017  matrix includes 64 packed rows
  438. Sat Sep 16 03:33:26 2017  matrix is 13254338 x 5764612 (967.9 MB) with weight 239233322 (41.50/col)
  439. Sat Sep 16 03:33:26 2017  sparse part has weight 196083799 (34.02/col)
  440. Sat Sep 16 03:33:26 2017  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  441. Sat Sep 16 03:33:40 2017  commencing Lanczos iteration (8 threads)
  442. Sat Sep 16 03:33:40 2017  memory use: 1094.2 MB
  443. Sat Sep 16 03:33:43 2017  restarting at iteration 416234 (dim = 26320052)
  444. Sat Sep 16 03:33:54 2017  linear algebra at 49.6%, ETA 53h44m
  445. Sat Sep 16 03:33:57 2017  checkpointing every 510000 dimensions
  446. Mon Sep 18 03:30:34 2017  lanczos halted after 838422 iterations (dim = 53017151)
  447. Mon Sep 18 03:31:35 2017  recovered 34 nontrivial dependencies
  448. Mon Sep 18 03:31:36 2017  BLanczosTime: 172742
  449. Mon Sep 18 03:31:36 2017  elapsed time 47:59:02
  450. Mon Sep 18 12:58:06 2017  
  451. Mon Sep 18 12:58:06 2017  
  452. Mon Sep 18 12:58:06 2017  Msieve v. 1.53 (SVN 993M)
  453. Mon Sep 18 12:58:06 2017  random seeds: 95e912ef b05b0eaa
  454. Mon Sep 18 12:58:06 2017  MPI process 0 of 1
  455. Mon Sep 18 12:58:06 2017  factoring 2414843306396518063725226483997501849724489139171973804626737433040664486558392253565000332785338603111232050957788379045287378848481146336990567735468927404931352930650493251476750745458078413796670963719779909140308612017172719541690422919065260366507475099840047951 (268 digits)
  456. Mon Sep 18 12:58:08 2017  no P-1/P+1/ECM available, skipping
  457. Mon Sep 18 12:58:08 2017  commencing number field sieve (268-digit input)
  458. Mon Sep 18 12:58:08 2017  R0: -1292469707114105741986576081359316958696581423282623291015626
  459. Mon Sep 18 12:58:08 2017  R1: 1136868377216160297393798828125
  460. Mon Sep 18 12:58:08 2017  A0: 1
  461. Mon Sep 18 12:58:08 2017  A1: 3
  462. Mon Sep 18 12:58:08 2017  A2: -3
  463. Mon Sep 18 12:58:08 2017  A3: -4
  464. Mon Sep 18 12:58:08 2017  A4: 1
  465. Mon Sep 18 12:58:08 2017  A5: 1
  466. Mon Sep 18 12:58:08 2017  skew 1.00, size 2.335e-20, alpha 2.379, combined = 5.993e-16 rroots = 5
  467. Mon Sep 18 12:58:08 2017  
  468. Mon Sep 18 12:58:08 2017  commencing square root phase
  469. Mon Sep 18 12:58:08 2017  reading relations for dependency 1
  470. Mon Sep 18 12:58:57 2017  read 26512161 cycles
  471. Mon Sep 18 12:59:51 2017  cycles contain 87407370 unique relations
  472. Mon Sep 18 13:26:16 2017  read 87407370 relations
  473. Mon Sep 18 13:35:02 2017  multiplying 87407370 relations
  474. Mon Sep 18 14:34:06 2017  multiply complete, coefficients have about 2501.16 million bits
  475. Mon Sep 18 14:34:16 2017  initial square root is modulo 407149
  476. Mon Sep 18 15:35:48 2017  sqrtTime: 9460
  477. Mon Sep 18 15:35:48 2017  p111 factor: 332950227763676319652170086318887643065169385128108134680124065049536330809457826092057884367961792664344097591
  478. Mon Sep 18 15:35:48 2017  p157 factor: 7252865758994290260583674771529137562661501668067843971051642445417699634056290287189812154785215533461159431323006831383037801233368735586285751456399393961
  479. Mon Sep 18 15:35:48 2017  elapsed time 02:37:42
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