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Feb 13th, 2018
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  1. Wed Feb 7 23:36:55 2018
  2. Wed Feb 7 23:36:55 2018
  3. Wed Feb 7 23:36:55 2018 Msieve v. 1.53 (SVN 993M)
  4. Wed Feb 7 23:36:55 2018 random seeds: ce9a693d 1af069d7
  5. Wed Feb 7 23:36:55 2018 MPI process 0 of 1
  6. Wed Feb 7 23:36:55 2018 factoring 31459134695547440880960571521711275315821191017699503012209363665982877905388734189739883622613147870343000688942794841204585497927050982783362964088294688520604550927926980939199957713683312429543182325641065057 (212 digits)
  7. Wed Feb 7 23:36:56 2018 no P-1/P+1/ECM available, skipping
  8. Wed Feb 7 23:36:56 2018 commencing number field sieve (212-digit input)
  9. Wed Feb 7 23:36:56 2018 R0: -72574551534231909331741171093173785967490646405143
  10. Wed Feb 7 23:36:56 2018 R1: 1
  11. Wed Feb 7 23:36:56 2018 A0: 1
  12. Wed Feb 7 23:36:56 2018 A1: 7
  13. Wed Feb 7 23:36:56 2018 A2: 21
  14. Wed Feb 7 23:36:56 2018 A3: 49
  15. Wed Feb 7 23:36:56 2018 A4: 147
  16. Wed Feb 7 23:36:56 2018 A5: 343
  17. Wed Feb 7 23:36:56 2018 A6: 343
  18. Wed Feb 7 23:36:56 2018 skew 0.38, size 5.712e-15, alpha 1.941, combined = 2.183e-15 rroots = 0
  19. Wed Feb 7 23:36:56 2018
  20. Wed Feb 7 23:36:56 2018 commencing relation filtering
  21. Wed Feb 7 23:36:56 2018 setting target matrix density to 130.0
  22. Wed Feb 7 23:36:56 2018 estimated available RAM is 258443.6 MB
  23. Wed Feb 7 23:36:56 2018 commencing duplicate removal, pass 1
  24. Wed Feb 7 23:40:01 2018 error -15 reading relation 11938054
  25. Wed Feb 7 23:40:08 2018 error -1 reading relation 12550767
  26. Wed Feb 7 23:55:39 2018 error -15 reading relation 89945315
  27. Thu Feb 8 00:04:19 2018 error -1 reading relation 132901993
  28. Thu Feb 8 00:14:14 2018 error -1 reading relation 181605365
  29. Thu Feb 8 00:23:29 2018 error -1 reading relation 226818298
  30. Thu Feb 8 00:35:21 2018 error -1 reading relation 286704259
  31. Thu Feb 8 00:43:37 2018 error -1 reading relation 328776183
  32. Thu Feb 8 00:52:41 2018 error -15 reading relation 374799927
  33. Thu Feb 8 00:54:10 2018 error -15 reading relation 382354783
  34. Thu Feb 8 00:57:48 2018 error -15 reading relation 400708164
  35. Thu Feb 8 00:59:31 2018 error -5 reading relation 409557475
  36. Thu Feb 8 01:02:11 2018 error -15 reading relation 423041912
  37. Thu Feb 8 01:07:20 2018 error -15 reading relation 449529881
  38. Thu Feb 8 01:11:11 2018 error -15 reading relation 469147831
  39. Thu Feb 8 01:15:10 2018 error -1 reading relation 489625698
  40. Thu Feb 8 01:15:22 2018 error -15 reading relation 490573266
  41. Thu Feb 8 01:17:50 2018 error -5 reading relation 503262826
  42. Thu Feb 8 01:26:25 2018 error -6 reading relation 547147260
  43. Thu Feb 8 01:32:18 2018 error -1 reading relation 577547621
  44. Thu Feb 8 01:34:47 2018 error -1 reading relation 590251689
  45. Thu Feb 8 01:35:56 2018 error -11 reading relation 596223146
  46. Thu Feb 8 01:35:56 2018 error -11 reading relation 596223236
  47. Thu Feb 8 01:35:56 2018 error -11 reading relation 596223984
  48. Thu Feb 8 01:40:27 2018 error -15 reading relation 619470779
  49. Thu Feb 8 01:41:45 2018 error -1 reading relation 626170167
  50. Thu Feb 8 01:43:46 2018 error -1 reading relation 636575602
  51. Thu Feb 8 01:52:21 2018 error -15 reading relation 680418468
  52. Thu Feb 8 02:12:25 2018 error -5 reading relation 782523771
  53. Thu Feb 8 02:24:42 2018 error -15 reading relation 845606359
  54. Thu Feb 8 02:24:46 2018 error -15 reading relation 845946537
  55. Thu Feb 8 02:36:18 2018 error -5 reading relation 904627474
  56. Thu Feb 8 02:39:20 2018 error -5 reading relation 920074262
  57. Thu Feb 8 02:39:30 2018 error -15 reading relation 920949425
  58. Thu Feb 8 02:46:22 2018 error -1 reading relation 956139551
  59. Thu Feb 8 02:46:34 2018 error -11 reading relation 957153128
  60. Thu Feb 8 02:47:17 2018 skipped 903093 relations with b > 2^32
  61. Thu Feb 8 02:47:17 2018 skipped 10 relations with composite factors
  62. Thu Feb 8 02:47:17 2018 found 256958281 hash collisions in 959889794 relations
  63. Thu Feb 8 02:47:28 2018 added 2438534 free relations
  64. Thu Feb 8 02:47:29 2018 commencing duplicate removal, pass 2
  65. Thu Feb 8 03:22:28 2018 found 240197716 duplicates and 722130612 unique relations
  66. Thu Feb 8 03:22:28 2018 memory use: 8780.0 MB
  67. Thu Feb 8 03:22:28 2018 reading ideals above 720000
  68. Thu Feb 8 03:22:29 2018 commencing singleton removal, initial pass
  69. Thu Feb 8 06:25:28 2018 memory use: 21024.0 MB
  70. Thu Feb 8 06:25:28 2018 reading all ideals from disk
  71. Thu Feb 8 07:18:37 2018 memory use: 33012.2 MB
  72. Thu Feb 8 07:26:00 2018 keeping 664966117 ideals with weight <= 200, target excess is 4169325
  73. Thu Feb 8 07:28:26 2018 commencing in-memory singleton removal
  74. Thu Feb 8 07:29:37 2018 begin with 722130612 relations and 664966117 unique ideals
  75. Thu Feb 8 07:45:37 2018 reduce to 478039942 relations and 397220355 ideals in 15 passes
  76. Thu Feb 8 07:45:37 2018 max relations containing the same ideal: 162
  77. Thu Feb 8 07:50:14 2018 removing 15794762 relations and 13794762 ideals in 2000000 cliques
  78. Thu Feb 8 07:50:26 2018 commencing in-memory singleton removal
  79. Thu Feb 8 07:51:22 2018 begin with 462245180 relations and 397220355 unique ideals
  80. Thu Feb 8 08:00:17 2018 reduce to 461845138 relations and 383023062 ideals in 9 passes
  81. Thu Feb 8 08:00:17 2018 max relations containing the same ideal: 158
  82. Thu Feb 8 08:04:51 2018 removing 11871650 relations and 9871650 ideals in 2000000 cliques
  83. Thu Feb 8 08:05:02 2018 commencing in-memory singleton removal
  84. Thu Feb 8 08:05:53 2018 begin with 449973488 relations and 383023062 unique ideals
  85. Thu Feb 8 08:12:29 2018 reduce to 449725947 relations and 372902638 ideals in 7 passes
  86. Thu Feb 8 08:12:29 2018 max relations containing the same ideal: 157
  87. Thu Feb 8 08:17:00 2018 removing 10619995 relations and 8619995 ideals in 2000000 cliques
  88. Thu Feb 8 08:17:11 2018 commencing in-memory singleton removal
  89. Thu Feb 8 08:18:04 2018 begin with 439105952 relations and 372902638 unique ideals
  90. Thu Feb 8 08:24:31 2018 reduce to 438898591 relations and 364074274 ideals in 7 passes
  91. Thu Feb 8 08:24:31 2018 max relations containing the same ideal: 156
  92. Thu Feb 8 08:28:49 2018 removing 9906411 relations and 7906411 ideals in 2000000 cliques
  93. Thu Feb 8 08:29:00 2018 commencing in-memory singleton removal
  94. Thu Feb 8 08:29:49 2018 begin with 428992180 relations and 364074274 unique ideals
  95. Thu Feb 8 08:36:09 2018 reduce to 428806433 relations and 355981256 ideals in 7 passes
  96. Thu Feb 8 08:36:09 2018 max relations containing the same ideal: 155
  97. Thu Feb 8 08:40:26 2018 removing 9424952 relations and 7424952 ideals in 2000000 cliques
  98. Thu Feb 8 08:40:37 2018 commencing in-memory singleton removal
  99. Thu Feb 8 08:41:23 2018 begin with 419381481 relations and 355981256 unique ideals
  100. Thu Feb 8 08:47:27 2018 reduce to 419209314 relations and 348383304 ideals in 7 passes
  101. Thu Feb 8 08:47:27 2018 max relations containing the same ideal: 154
  102. Thu Feb 8 08:51:34 2018 removing 9070021 relations and 7070021 ideals in 2000000 cliques
  103. Thu Feb 8 08:51:44 2018 commencing in-memory singleton removal
  104. Thu Feb 8 08:52:31 2018 begin with 410139293 relations and 348383304 unique ideals
  105. Thu Feb 8 08:58:22 2018 reduce to 409975849 relations and 341149089 ideals in 7 passes
  106. Thu Feb 8 08:58:22 2018 max relations containing the same ideal: 151
  107. Thu Feb 8 09:02:28 2018 removing 8790470 relations and 6790470 ideals in 2000000 cliques
  108. Thu Feb 8 09:02:38 2018 commencing in-memory singleton removal
  109. Thu Feb 8 09:03:22 2018 begin with 401185379 relations and 341149089 unique ideals
  110. Thu Feb 8 09:08:21 2018 reduce to 401027531 relations and 334199986 ideals in 6 passes
  111. Thu Feb 8 09:08:21 2018 max relations containing the same ideal: 146
  112. Thu Feb 8 09:12:18 2018 removing 8573533 relations and 6573533 ideals in 2000000 cliques
  113. Thu Feb 8 09:12:28 2018 commencing in-memory singleton removal
  114. Thu Feb 8 09:13:02 2018 begin with 392453998 relations and 334199986 unique ideals
  115. Thu Feb 8 09:19:31 2018 reduce to 392300053 relations and 327471755 ideals in 8 passes
  116. Thu Feb 8 09:19:31 2018 max relations containing the same ideal: 143
  117. Thu Feb 8 09:23:21 2018 removing 8392578 relations and 6392578 ideals in 2000000 cliques
  118. Thu Feb 8 09:23:31 2018 commencing in-memory singleton removal
  119. Thu Feb 8 09:24:14 2018 begin with 383907475 relations and 327471755 unique ideals
  120. Thu Feb 8 09:28:44 2018 reduce to 383757043 relations and 320927988 ideals in 6 passes
  121. Thu Feb 8 09:28:44 2018 max relations containing the same ideal: 140
  122. Thu Feb 8 09:32:37 2018 removing 8245449 relations and 6245449 ideals in 2000000 cliques
  123. Thu Feb 8 09:32:46 2018 commencing in-memory singleton removal
  124. Thu Feb 8 09:33:29 2018 begin with 375511594 relations and 320927988 unique ideals
  125. Thu Feb 8 09:38:13 2018 reduce to 375361963 relations and 314532113 ideals in 6 passes
  126. Thu Feb 8 09:38:13 2018 max relations containing the same ideal: 139
  127. Thu Feb 8 09:42:01 2018 removing 8123880 relations and 6123880 ideals in 2000000 cliques
  128. Thu Feb 8 09:42:11 2018 commencing in-memory singleton removal
  129. Thu Feb 8 09:42:50 2018 begin with 367238083 relations and 314532113 unique ideals
  130. Thu Feb 8 09:47:14 2018 reduce to 367091649 relations and 308261052 ideals in 6 passes
  131. Thu Feb 8 09:47:14 2018 max relations containing the same ideal: 137
  132. Thu Feb 8 09:50:45 2018 removing 8019991 relations and 6019991 ideals in 2000000 cliques
  133. Thu Feb 8 09:50:54 2018 commencing in-memory singleton removal
  134. Thu Feb 8 09:51:30 2018 begin with 359071658 relations and 308261052 unique ideals
  135. Thu Feb 8 09:56:42 2018 reduce to 358924550 relations and 302093191 ideals in 7 passes
  136. Thu Feb 8 09:56:42 2018 max relations containing the same ideal: 136
  137. Thu Feb 8 10:00:10 2018 removing 7931834 relations and 5931834 ideals in 2000000 cliques
  138. Thu Feb 8 10:00:19 2018 commencing in-memory singleton removal
  139. Thu Feb 8 10:01:00 2018 begin with 350992716 relations and 302093191 unique ideals
  140. Thu Feb 8 10:05:28 2018 reduce to 350846642 relations and 296014527 ideals in 6 passes
  141. Thu Feb 8 10:05:28 2018 max relations containing the same ideal: 133
  142. Thu Feb 8 10:09:02 2018 removing 7853346 relations and 5853346 ideals in 2000000 cliques
  143. Thu Feb 8 10:09:11 2018 commencing in-memory singleton removal
  144. Thu Feb 8 10:09:51 2018 begin with 342993296 relations and 296014527 unique ideals
  145. Thu Feb 8 10:14:05 2018 reduce to 342848270 relations and 290015345 ideals in 6 passes
  146. Thu Feb 8 10:14:05 2018 max relations containing the same ideal: 132
  147. Thu Feb 8 10:17:36 2018 removing 7785950 relations and 5785950 ideals in 2000000 cliques
  148. Thu Feb 8 10:17:44 2018 commencing in-memory singleton removal
  149. Thu Feb 8 10:18:23 2018 begin with 335062320 relations and 290015345 unique ideals
  150. Thu Feb 8 10:23:07 2018 reduce to 334915879 relations and 284082123 ideals in 7 passes
  151. Thu Feb 8 10:23:07 2018 max relations containing the same ideal: 130
  152. Thu Feb 8 10:26:35 2018 removing 7728115 relations and 5728115 ideals in 2000000 cliques
  153. Thu Feb 8 10:26:44 2018 commencing in-memory singleton removal
  154. Thu Feb 8 10:27:21 2018 begin with 327187764 relations and 284082123 unique ideals
  155. Thu Feb 8 10:31:20 2018 reduce to 327040373 relations and 278205744 ideals in 6 passes
  156. Thu Feb 8 10:31:20 2018 max relations containing the same ideal: 128
  157. Thu Feb 8 10:34:40 2018 removing 7682203 relations and 5682203 ideals in 2000000 cliques
  158. Thu Feb 8 10:34:48 2018 commencing in-memory singleton removal
  159. Thu Feb 8 10:35:24 2018 begin with 319358170 relations and 278205744 unique ideals
  160. Thu Feb 8 10:39:20 2018 reduce to 319209997 relations and 272374477 ideals in 6 passes
  161. Thu Feb 8 10:39:20 2018 max relations containing the same ideal: 126
  162. Thu Feb 8 10:42:27 2018 removing 7637202 relations and 5637202 ideals in 2000000 cliques
  163. Thu Feb 8 10:42:35 2018 commencing in-memory singleton removal
  164. Thu Feb 8 10:43:12 2018 begin with 311572795 relations and 272374477 unique ideals
  165. Thu Feb 8 10:47:41 2018 reduce to 311422950 relations and 266586464 ideals in 6 passes
  166. Thu Feb 8 10:47:41 2018 max relations containing the same ideal: 122
  167. Thu Feb 8 10:51:22 2018 removing 7606623 relations and 5606623 ideals in 2000000 cliques
  168. Thu Feb 8 10:51:30 2018 commencing in-memory singleton removal
  169. Thu Feb 8 10:52:09 2018 begin with 303816327 relations and 266586464 unique ideals
  170. Thu Feb 8 10:56:30 2018 reduce to 303663765 relations and 260826393 ideals in 6 passes
  171. Thu Feb 8 10:56:30 2018 max relations containing the same ideal: 120
  172. Thu Feb 8 10:59:57 2018 removing 7578554 relations and 5578554 ideals in 2000000 cliques
  173. Thu Feb 8 11:00:05 2018 commencing in-memory singleton removal
  174. Thu Feb 8 11:00:39 2018 begin with 296085211 relations and 260826393 unique ideals
  175. Thu Feb 8 11:05:06 2018 reduce to 295931386 relations and 255093044 ideals in 7 passes
  176. Thu Feb 8 11:05:06 2018 max relations containing the same ideal: 117
  177. Thu Feb 8 11:08:12 2018 removing 7555082 relations and 5555082 ideals in 2000000 cliques
  178. Thu Feb 8 11:08:20 2018 commencing in-memory singleton removal
  179. Thu Feb 8 11:08:50 2018 begin with 288376304 relations and 255093044 unique ideals
  180. Thu Feb 8 11:12:07 2018 reduce to 288220000 relations and 249380623 ideals in 6 passes
  181. Thu Feb 8 11:12:07 2018 max relations containing the same ideal: 116
  182. Thu Feb 8 11:15:15 2018 removing 7532137 relations and 5532137 ideals in 2000000 cliques
  183. Thu Feb 8 11:15:22 2018 commencing in-memory singleton removal
  184. Thu Feb 8 11:15:52 2018 begin with 280687863 relations and 249380623 unique ideals
  185. Thu Feb 8 11:19:12 2018 reduce to 280529911 relations and 243689469 ideals in 6 passes
  186. Thu Feb 8 11:19:12 2018 max relations containing the same ideal: 114
  187. Thu Feb 8 11:22:11 2018 removing 7516312 relations and 5516312 ideals in 2000000 cliques
  188. Thu Feb 8 11:22:18 2018 commencing in-memory singleton removal
  189. Thu Feb 8 11:22:46 2018 begin with 273013599 relations and 243689469 unique ideals
  190. Thu Feb 8 11:26:29 2018 reduce to 272852127 relations and 238010595 ideals in 7 passes
  191. Thu Feb 8 11:26:29 2018 max relations containing the same ideal: 112
  192. Thu Feb 8 11:29:23 2018 removing 7510950 relations and 5510950 ideals in 2000000 cliques
  193. Thu Feb 8 11:29:31 2018 commencing in-memory singleton removal
  194. Thu Feb 8 11:29:57 2018 begin with 265341177 relations and 238010595 unique ideals
  195. Thu Feb 8 11:33:30 2018 reduce to 265175172 relations and 232332420 ideals in 7 passes
  196. Thu Feb 8 11:33:30 2018 max relations containing the same ideal: 112
  197. Thu Feb 8 11:36:23 2018 removing 7505273 relations and 5505273 ideals in 2000000 cliques
  198. Thu Feb 8 11:36:30 2018 commencing in-memory singleton removal
  199. Thu Feb 8 11:36:58 2018 begin with 257669899 relations and 232332420 unique ideals
  200. Thu Feb 8 11:40:03 2018 reduce to 257500029 relations and 226656061 ideals in 6 passes
  201. Thu Feb 8 11:40:03 2018 max relations containing the same ideal: 108
  202. Thu Feb 8 11:42:51 2018 removing 7501493 relations and 5501493 ideals in 2000000 cliques
  203. Thu Feb 8 11:42:58 2018 commencing in-memory singleton removal
  204. Thu Feb 8 11:43:24 2018 begin with 249998536 relations and 226656061 unique ideals
  205. Thu Feb 8 11:46:08 2018 reduce to 249824231 relations and 220978942 ideals in 6 passes
  206. Thu Feb 8 11:46:08 2018 max relations containing the same ideal: 105
  207. Thu Feb 8 11:48:43 2018 removing 7503143 relations and 5503143 ideals in 2000000 cliques
  208. Thu Feb 8 11:48:50 2018 commencing in-memory singleton removal
  209. Thu Feb 8 11:49:17 2018 begin with 242321088 relations and 220978942 unique ideals
  210. Thu Feb 8 11:52:14 2018 reduce to 242141944 relations and 215295304 ideals in 6 passes
  211. Thu Feb 8 11:52:14 2018 max relations containing the same ideal: 104
  212. Thu Feb 8 11:54:50 2018 removing 7506680 relations and 5506680 ideals in 2000000 cliques
  213. Thu Feb 8 11:54:56 2018 commencing in-memory singleton removal
  214. Thu Feb 8 11:55:21 2018 begin with 234635264 relations and 215295304 unique ideals
  215. Thu Feb 8 11:58:31 2018 reduce to 234451451 relations and 209603370 ideals in 7 passes
  216. Thu Feb 8 11:58:31 2018 max relations containing the same ideal: 103
  217. Thu Feb 8 12:01:09 2018 removing 7517816 relations and 5517816 ideals in 2000000 cliques
  218. Thu Feb 8 12:01:16 2018 commencing in-memory singleton removal
  219. Thu Feb 8 12:01:40 2018 begin with 226933635 relations and 209603370 unique ideals
  220. Thu Feb 8 12:04:12 2018 reduce to 226744031 relations and 203894402 ideals in 6 passes
  221. Thu Feb 8 12:04:12 2018 max relations containing the same ideal: 100
  222. Thu Feb 8 12:06:35 2018 removing 7528586 relations and 5528586 ideals in 2000000 cliques
  223. Thu Feb 8 12:06:41 2018 commencing in-memory singleton removal
  224. Thu Feb 8 12:06:59 2018 begin with 219215445 relations and 203894402 unique ideals
  225. Thu Feb 8 12:09:09 2018 reduce to 219019126 relations and 198167785 ideals in 6 passes
  226. Thu Feb 8 12:09:09 2018 max relations containing the same ideal: 99
  227. Thu Feb 8 12:11:22 2018 removing 7552651 relations and 5552651 ideals in 2000000 cliques
  228. Thu Feb 8 12:11:28 2018 commencing in-memory singleton removal
  229. Thu Feb 8 12:11:48 2018 begin with 211466475 relations and 198167785 unique ideals
  230. Thu Feb 8 12:14:20 2018 reduce to 211263900 relations and 192410832 ideals in 7 passes
  231. Thu Feb 8 12:14:20 2018 max relations containing the same ideal: 95
  232. Thu Feb 8 12:16:35 2018 removing 7572227 relations and 5572227 ideals in 2000000 cliques
  233. Thu Feb 8 12:16:41 2018 commencing in-memory singleton removal
  234. Thu Feb 8 12:17:01 2018 begin with 203691673 relations and 192410832 unique ideals
  235. Thu Feb 8 12:19:14 2018 reduce to 203480850 relations and 186625872 ideals in 6 passes
  236. Thu Feb 8 12:19:14 2018 max relations containing the same ideal: 93
  237. Thu Feb 8 12:21:19 2018 removing 7602857 relations and 5602857 ideals in 2000000 cliques
  238. Thu Feb 8 12:21:25 2018 commencing in-memory singleton removal
  239. Thu Feb 8 12:21:46 2018 begin with 195877993 relations and 186625872 unique ideals
  240. Thu Feb 8 12:24:03 2018 reduce to 195656827 relations and 180799718 ideals in 6 passes
  241. Thu Feb 8 12:24:03 2018 max relations containing the same ideal: 91
  242. Thu Feb 8 12:26:10 2018 removing 7636474 relations and 5636474 ideals in 2000000 cliques
  243. Thu Feb 8 12:26:16 2018 commencing in-memory singleton removal
  244. Thu Feb 8 12:26:36 2018 begin with 188020353 relations and 180799718 unique ideals
  245. Thu Feb 8 12:28:55 2018 reduce to 187787831 relations and 174928567 ideals in 7 passes
  246. Thu Feb 8 12:28:55 2018 max relations containing the same ideal: 89
  247. Thu Feb 8 12:30:55 2018 removing 7680069 relations and 5680069 ideals in 2000000 cliques
  248. Thu Feb 8 12:31:00 2018 commencing in-memory singleton removal
  249. Thu Feb 8 12:31:20 2018 begin with 180107762 relations and 174928567 unique ideals
  250. Thu Feb 8 12:33:49 2018 reduce to 179862809 relations and 169001194 ideals in 7 passes
  251. Thu Feb 8 12:33:49 2018 max relations containing the same ideal: 85
  252. Thu Feb 8 12:35:46 2018 removing 7728811 relations and 5728811 ideals in 2000000 cliques
  253. Thu Feb 8 12:35:51 2018 commencing in-memory singleton removal
  254. Thu Feb 8 12:36:10 2018 begin with 172133998 relations and 169001194 unique ideals
  255. Thu Feb 8 12:38:31 2018 reduce to 171875309 relations and 163011068 ideals in 7 passes
  256. Thu Feb 8 12:38:31 2018 max relations containing the same ideal: 83
  257. Thu Feb 8 12:40:17 2018 removing 7786573 relations and 5786573 ideals in 2000000 cliques
  258. Thu Feb 8 12:40:22 2018 commencing in-memory singleton removal
  259. Thu Feb 8 12:40:39 2018 begin with 164088736 relations and 163011068 unique ideals
  260. Thu Feb 8 12:42:50 2018 reduce to 163811621 relations and 156944523 ideals in 7 passes
  261. Thu Feb 8 12:42:50 2018 max relations containing the same ideal: 81
  262. Thu Feb 8 12:44:28 2018 removing 7862869 relations and 5862869 ideals in 2000000 cliques
  263. Thu Feb 8 12:44:33 2018 commencing in-memory singleton removal
  264. Thu Feb 8 12:44:50 2018 begin with 155948752 relations and 156944523 unique ideals
  265. Thu Feb 8 12:47:02 2018 reduce to 155653842 relations and 150783467 ideals in 7 passes
  266. Thu Feb 8 12:47:02 2018 max relations containing the same ideal: 78
  267. Thu Feb 8 12:48:40 2018 removing 234541 relations and 200584 ideals in 33957 cliques
  268. Thu Feb 8 12:48:43 2018 commencing in-memory singleton removal
  269. Thu Feb 8 12:49:00 2018 begin with 155419301 relations and 150783467 unique ideals
  270. Thu Feb 8 12:50:30 2018 reduce to 155419072 relations and 150582654 ideals in 5 passes
  271. Thu Feb 8 12:50:30 2018 max relations containing the same ideal: 78
  272. Thu Feb 8 12:51:11 2018 relations with 0 large ideals: 322794
  273. Thu Feb 8 12:51:11 2018 relations with 1 large ideals: 156927
  274. Thu Feb 8 12:51:11 2018 relations with 2 large ideals: 1423093
  275. Thu Feb 8 12:51:11 2018 relations with 3 large ideals: 7123156
  276. Thu Feb 8 12:51:11 2018 relations with 4 large ideals: 20401268
  277. Thu Feb 8 12:51:11 2018 relations with 5 large ideals: 35868046
  278. Thu Feb 8 12:51:11 2018 relations with 6 large ideals: 40220308
  279. Thu Feb 8 12:51:11 2018 relations with 7+ large ideals: 49903480
  280. Thu Feb 8 12:51:11 2018 commencing 2-way merge
  281. Thu Feb 8 12:53:10 2018 reduce to 101917468 relation sets and 97081050 unique ideals
  282. Thu Feb 8 12:53:10 2018 commencing full merge
  283. Thu Feb 8 14:21:49 2018 memory use: 12501.3 MB
  284. Thu Feb 8 14:22:23 2018 found 45272398 cycles, need 44887250
  285. Thu Feb 8 14:23:02 2018 weight of 44887250 cycles is about 5836112820 (130.02/cycle)
  286. Thu Feb 8 14:23:02 2018 distribution of cycle lengths:
  287. Thu Feb 8 14:23:02 2018 1 relations: 2278817
  288. Thu Feb 8 14:23:02 2018 2 relations: 2591383
  289. Thu Feb 8 14:23:02 2018 3 relations: 3028175
  290. Thu Feb 8 14:23:02 2018 4 relations: 3163373
  291. Thu Feb 8 14:23:02 2018 5 relations: 3247149
  292. Thu Feb 8 14:23:02 2018 6 relations: 3206724
  293. Thu Feb 8 14:23:02 2018 7 relations: 3147301
  294. Thu Feb 8 14:23:02 2018 8 relations: 3015948
  295. Thu Feb 8 14:23:02 2018 9 relations: 2863603
  296. Thu Feb 8 14:23:02 2018 10+ relations: 18344777
  297. Thu Feb 8 14:23:02 2018 heaviest cycle: 28 relations
  298. Thu Feb 8 14:23:46 2018 commencing cycle optimization
  299. Thu Feb 8 14:26:55 2018 start with 399577491 relations
  300. Thu Feb 8 15:01:58 2018 pruned 17370248 relations
  301. Thu Feb 8 15:01:59 2018 memory use: 10523.5 MB
  302. Thu Feb 8 15:01:59 2018 distribution of cycle lengths:
  303. Thu Feb 8 15:01:59 2018 1 relations: 2278817
  304. Thu Feb 8 15:01:59 2018 2 relations: 2656861
  305. Thu Feb 8 15:01:59 2018 3 relations: 3161163
  306. Thu Feb 8 15:01:59 2018 4 relations: 3299697
  307. Thu Feb 8 15:01:59 2018 5 relations: 3408296
  308. Thu Feb 8 15:01:59 2018 6 relations: 3357933
  309. Thu Feb 8 15:01:59 2018 7 relations: 3304012
  310. Thu Feb 8 15:01:59 2018 8 relations: 3152140
  311. Thu Feb 8 15:01:59 2018 9 relations: 2988631
  312. Thu Feb 8 15:01:59 2018 10+ relations: 17279700
  313. Thu Feb 8 15:01:59 2018 heaviest cycle: 28 relations
  314. Thu Feb 8 15:06:48 2018 RelProcTime: 55792
  315. Thu Feb 8 15:06:48 2018 elapsed time 15:29:53
  316. Thu Feb 8 15:08:38 2018
  317. Thu Feb 8 15:08:38 2018
  318. Thu Feb 8 15:08:38 2018 Msieve v. 1.53 (SVN 993M)
  319. Thu Feb 8 15:08:38 2018 random seeds: 6b44710a 3685b97d
  320. Thu Feb 8 15:08:38 2018 MPI process 0 of 4
  321. Thu Feb 8 15:08:38 2018 factoring 31459134695547440880960571521711275315821191017699503012209363665982877905388734189739883622613147870343000688942794841204585497927050982783362964088294688520604550927926980939199957713683312429543182325641065057 (212 digits)
  322. Thu Feb 8 15:08:39 2018 no P-1/P+1/ECM available, skipping
  323. Thu Feb 8 15:08:39 2018 commencing number field sieve (212-digit input)
  324. Thu Feb 8 15:08:39 2018 R0: -72574551534231909331741171093173785967490646405143
  325. Thu Feb 8 15:08:39 2018 R1: 1
  326. Thu Feb 8 15:08:39 2018 A0: 1
  327. Thu Feb 8 15:08:39 2018 A1: 7
  328. Thu Feb 8 15:08:39 2018 A2: 21
  329. Thu Feb 8 15:08:39 2018 A3: 49
  330. Thu Feb 8 15:08:39 2018 A4: 147
  331. Thu Feb 8 15:08:39 2018 A5: 343
  332. Thu Feb 8 15:08:39 2018 A6: 343
  333. Thu Feb 8 15:08:39 2018 skew 0.38, size 5.712e-15, alpha 1.941, combined = 2.183e-15 rroots = 0
  334. Thu Feb 8 15:08:39 2018
  335. Thu Feb 8 15:08:39 2018 commencing linear algebra
  336. Thu Feb 8 15:08:39 2018 initialized process (0,0) of 2 x 2 grid
  337. Thu Feb 8 15:09:21 2018 read 44887250 cycles
  338. Thu Feb 8 15:14:12 2018 cycles contain 152989169 unique relations
  339. Thu Feb 8 15:51:25 2018 read 152989169 relations
  340. Thu Feb 8 16:03:36 2018 using 20 quadratic characters above 4294917295
  341. Thu Feb 8 16:16:07 2018 building initial matrix
  342. Thu Feb 8 17:16:22 2018 memory use: 20740.8 MB
  343. Thu Feb 8 17:18:21 2018 read 44887250 cycles
  344. Thu Feb 8 17:18:31 2018 matrix is 44887071 x 44887250 (22734.5 MB) with weight 6430228948 (143.25/col)
  345. Thu Feb 8 17:18:31 2018 sparse part has weight 5465950718 (121.77/col)
  346. Thu Feb 8 17:34:47 2018 filtering completed in 2 passes
  347. Thu Feb 8 17:35:00 2018 matrix is 44884844 x 44885023 (22734.3 MB) with weight 6430151974 (143.26/col)
  348. Thu Feb 8 17:35:04 2018 sparse part has weight 5465920949 (121.78/col)
  349. Thu Feb 8 17:42:13 2018 matrix starts at (0, 0)
  350. Thu Feb 8 17:42:17 2018 matrix is 22442478 x 22442538 (6334.4 MB) with weight 1895800504 (84.47/col)
  351. Thu Feb 8 17:42:17 2018 sparse part has weight 1413668983 (62.99/col)
  352. Thu Feb 8 17:42:17 2018 saving the first 48 matrix rows for later
  353. Thu Feb 8 17:42:23 2018 matrix includes 64 packed rows
  354. Thu Feb 8 17:42:32 2018 matrix is 22442430 x 22442538 (5891.5 MB) with weight 1482600204 (66.06/col)
  355. Thu Feb 8 17:42:32 2018 sparse part has weight 1319992504 (58.82/col)
  356. Thu Feb 8 17:42:32 2018 using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  357. Thu Feb 8 17:44:45 2018 commencing Lanczos iteration
  358. Thu Feb 8 17:44:46 2018 memory use: 5151.5 MB
  359. Thu Feb 8 18:06:17 2018 linear algebra at 0.0%, ETA 9490h32m
  360. Thu Feb 8 18:12:27 2018 checkpointing every 10000 dimensions
  361. Fri Feb 9 01:26:58 2018
  362. Fri Feb 9 01:26:58 2018
  363. Fri Feb 9 01:26:58 2018 Msieve v. 1.54 (SVN 1015M)
  364. Fri Feb 9 01:26:58 2018 random seeds: 39dd6b92 152a7480
  365. Fri Feb 9 01:26:58 2018 MPI process 0 of 16
  366. Fri Feb 9 01:26:58 2018 factoring 31459134695547440880960571521711275315821191017699503012209363665982877905388734189739883622613147870343000688942794841204585497927050982783362964088294688520604550927926980939199957713683312429543182325641065057 (212 digits)
  367. Fri Feb 9 01:26:59 2018 no P-1/P+1/ECM available, skipping
  368. Fri Feb 9 01:26:59 2018 commencing number field sieve (212-digit input)
  369. Fri Feb 9 01:26:59 2018 R0: -72574551534231909331741171093173785967490646405143
  370. Fri Feb 9 01:26:59 2018 R1: 1
  371. Fri Feb 9 01:26:59 2018 A0: 1
  372. Fri Feb 9 01:26:59 2018 A1: 7
  373. Fri Feb 9 01:26:59 2018 A2: 21
  374. Fri Feb 9 01:26:59 2018 A3: 49
  375. Fri Feb 9 01:26:59 2018 A4: 147
  376. Fri Feb 9 01:26:59 2018 A5: 343
  377. Fri Feb 9 01:26:59 2018 A6: 343
  378. Fri Feb 9 01:26:59 2018 skew 0.38, size 5.712e-15, alpha 1.941, combined = 2.183e-15 rroots = 0
  379. Fri Feb 9 01:26:59 2018
  380. Fri Feb 9 01:26:59 2018 commencing linear algebra
  381. Fri Feb 9 01:26:59 2018 skipping matrix build
  382. Fri Feb 9 01:26:59 2018 initialized process (0,0) of 4 x 4 grid
  383. Fri Feb 9 01:27:19 2018 matrix starts at (0, 0)
  384. Fri Feb 9 01:27:20 2018 matrix is 11221295 x 10450108 (1872.5 MB) with weight 597106103 (57.14/col)
  385. Fri Feb 9 01:27:20 2018 sparse part has weight 375923655 (35.97/col)
  386. Fri Feb 9 01:27:20 2018 saving the first 48 matrix rows for later
  387. Fri Feb 9 01:27:20 2018 matrix includes 64 packed rows
  388. Fri Feb 9 01:27:23 2018 matrix is 11221247 x 10450108 (1659.6 MB) with weight 408172714 (39.06/col)
  389. Fri Feb 9 01:27:23 2018 sparse part has weight 330552697 (31.63/col)
  390. Fri Feb 9 01:27:23 2018 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  391. Fri Feb 9 01:27:43 2018 commencing Lanczos iteration (24 threads)
  392. Fri Feb 9 01:27:43 2018 memory use: 1551.2 MB
  393. Fri Feb 9 01:27:54 2018 linear algebra at 0.0%, ETA 65h21m
  394. Fri Feb 9 01:27:56 2018 checkpointing every 740000 dimensions
  395. Sun Feb 11 14:02:02 2018
  396. Sun Feb 11 14:02:02 2018
  397. Sun Feb 11 14:02:02 2018 Msieve v. 1.54 (SVN 1015M)
  398. Sun Feb 11 14:02:02 2018 random seeds: c5f57fe2 e933d3d9
  399. Sun Feb 11 14:02:02 2018 MPI process 0 of 16
  400. Sun Feb 11 14:02:02 2018 factoring 31459134695547440880960571521711275315821191017699503012209363665982877905388734189739883622613147870343000688942794841204585497927050982783362964088294688520604550927926980939199957713683312429543182325641065057 (212 digits)
  401. Sun Feb 11 14:02:03 2018 no P-1/P+1/ECM available, skipping
  402. Sun Feb 11 14:02:03 2018 commencing number field sieve (212-digit input)
  403. Sun Feb 11 14:02:03 2018 R0: -72574551534231909331741171093173785967490646405143
  404. Sun Feb 11 14:02:03 2018 R1: 1
  405. Sun Feb 11 14:02:03 2018 A0: 1
  406. Sun Feb 11 14:02:03 2018 A1: 7
  407. Sun Feb 11 14:02:03 2018 A2: 21
  408. Sun Feb 11 14:02:03 2018 A3: 49
  409. Sun Feb 11 14:02:03 2018 A4: 147
  410. Sun Feb 11 14:02:03 2018 A5: 343
  411. Sun Feb 11 14:02:03 2018 A6: 343
  412. Sun Feb 11 14:02:03 2018 skew 0.38, size 5.712e-15, alpha 1.941, combined = 2.183e-15 rroots = 0
  413. Sun Feb 11 14:02:03 2018
  414. Sun Feb 11 14:02:03 2018 commencing linear algebra
  415. Sun Feb 11 14:02:03 2018 initialized process (0,0) of 4 x 4 grid
  416. Sun Feb 11 14:02:22 2018 matrix starts at (0, 0)
  417. Sun Feb 11 14:02:23 2018 matrix is 11221295 x 10450108 (1872.5 MB) with weight 597106103 (57.14/col)
  418. Sun Feb 11 14:02:23 2018 sparse part has weight 375923655 (35.97/col)
  419. Sun Feb 11 14:02:23 2018 saving the first 48 matrix rows for later
  420. Sun Feb 11 14:02:24 2018 matrix includes 64 packed rows
  421. Sun Feb 11 14:02:26 2018 matrix is 11221247 x 10450108 (1659.6 MB) with weight 408172714 (39.06/col)
  422. Sun Feb 11 14:02:26 2018 sparse part has weight 330552697 (31.63/col)
  423. Sun Feb 11 14:02:27 2018 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  424. Sun Feb 11 14:02:47 2018 commencing Lanczos iteration (24 threads)
  425. Sun Feb 11 14:02:47 2018 memory use: 1551.2 MB
  426. Sun Feb 11 14:02:50 2018 restarting at iteration 292549 (dim = 18500053)
  427. Sun Feb 11 14:02:59 2018 linear algebra at 41.2%, ETA 43h30m
  428. Sun Feb 11 14:03:01 2018 checkpointing every 650000 dimensions
  429. Sun Feb 11 23:03:19 2018
  430. Sun Feb 11 23:03:19 2018
  431. Sun Feb 11 23:03:19 2018 Msieve v. 1.54 (SVN 1015M)
  432. Sun Feb 11 23:03:19 2018 random seeds: d299fbf9 53aa544c
  433. Sun Feb 11 23:03:19 2018 MPI process 0 of 16
  434. Sun Feb 11 23:03:19 2018 factoring 31459134695547440880960571521711275315821191017699503012209363665982877905388734189739883622613147870343000688942794841204585497927050982783362964088294688520604550927926980939199957713683312429543182325641065057 (212 digits)
  435. Sun Feb 11 23:03:20 2018 no P-1/P+1/ECM available, skipping
  436. Sun Feb 11 23:03:20 2018 commencing number field sieve (212-digit input)
  437. Sun Feb 11 23:03:20 2018 R0: -72574551534231909331741171093173785967490646405143
  438. Sun Feb 11 23:03:20 2018 R1: 1
  439. Sun Feb 11 23:03:20 2018 A0: 1
  440. Sun Feb 11 23:03:20 2018 A1: 7
  441. Sun Feb 11 23:03:20 2018 A2: 21
  442. Sun Feb 11 23:03:20 2018 A3: 49
  443. Sun Feb 11 23:03:20 2018 A4: 147
  444. Sun Feb 11 23:03:20 2018 A5: 343
  445. Sun Feb 11 23:03:20 2018 A6: 343
  446. Sun Feb 11 23:03:20 2018 skew 0.38, size 5.712e-15, alpha 1.941, combined = 2.183e-15 rroots = 0
  447. Sun Feb 11 23:03:20 2018
  448. Sun Feb 11 23:03:20 2018 commencing linear algebra
  449. Sun Feb 11 23:03:20 2018 initialized process (0,0) of 4 x 4 grid
  450. Sun Feb 11 23:03:39 2018 matrix starts at (0, 0)
  451. Sun Feb 11 23:03:40 2018 matrix is 11221295 x 10450108 (1872.5 MB) with weight 597106103 (57.14/col)
  452. Sun Feb 11 23:03:40 2018 sparse part has weight 375923655 (35.97/col)
  453. Sun Feb 11 23:03:40 2018 saving the first 48 matrix rows for later
  454. Sun Feb 11 23:03:41 2018 matrix includes 64 packed rows
  455. Sun Feb 11 23:03:43 2018 matrix is 11221247 x 10450108 (1659.6 MB) with weight 408172714 (39.06/col)
  456. Sun Feb 11 23:03:43 2018 sparse part has weight 330552697 (31.63/col)
  457. Sun Feb 11 23:03:43 2018 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  458. Sun Feb 11 23:04:03 2018 commencing Lanczos iteration (24 threads)
  459. Sun Feb 11 23:04:03 2018 memory use: 1551.2 MB
  460. Sun Feb 11 23:04:07 2018 restarting at iteration 359754 (dim = 22750035)
  461. Sun Feb 11 23:04:15 2018 linear algebra at 50.7%, ETA 32h17m
  462. Sun Feb 11 23:04:17 2018 checkpointing every 710000 dimensions
  463. Tue Feb 13 03:50:00 2018 lanczos halted after 709808 iterations (dim = 44884792)
  464. Tue Feb 13 03:50:29 2018 recovered 40 nontrivial dependencies
  465. Tue Feb 13 03:50:30 2018 BLanczosTime: 103630
  466. Tue Feb 13 03:50:30 2018 elapsed time 28:47:11
  467. Tue Feb 13 14:12:17 2018
  468. Tue Feb 13 14:12:17 2018
  469. Tue Feb 13 14:12:17 2018 Msieve v. 1.53 (SVN 993M)
  470. Tue Feb 13 14:12:17 2018 random seeds: cd2f8856 fda1016c
  471. Tue Feb 13 14:12:17 2018 MPI process 0 of 1
  472. Tue Feb 13 14:12:17 2018 factoring 31459134695547440880960571521711275315821191017699503012209363665982877905388734189739883622613147870343000688942794841204585497927050982783362964088294688520604550927926980939199957713683312429543182325641065057 (212 digits)
  473. Tue Feb 13 14:12:18 2018 no P-1/P+1/ECM available, skipping
  474. Tue Feb 13 14:12:18 2018 commencing number field sieve (212-digit input)
  475. Tue Feb 13 14:12:18 2018 R0: -72574551534231909331741171093173785967490646405143
  476. Tue Feb 13 14:12:18 2018 R1: 1
  477. Tue Feb 13 14:12:18 2018 A0: 1
  478. Tue Feb 13 14:12:18 2018 A1: 7
  479. Tue Feb 13 14:12:18 2018 A2: 21
  480. Tue Feb 13 14:12:18 2018 A3: 49
  481. Tue Feb 13 14:12:18 2018 A4: 147
  482. Tue Feb 13 14:12:18 2018 A5: 343
  483. Tue Feb 13 14:12:18 2018 A6: 343
  484. Tue Feb 13 14:12:18 2018 skew 0.38, size 5.712e-15, alpha 1.941, combined = 2.183e-15 rroots = 0
  485. Tue Feb 13 14:12:18 2018
  486. Tue Feb 13 14:12:18 2018 commencing square root phase
  487. Tue Feb 13 14:12:18 2018 reading relations for dependency 1
  488. Tue Feb 13 14:12:36 2018 read 22444903 cycles
  489. Tue Feb 13 14:13:21 2018 cycles contain 76507522 unique relations
  490. Tue Feb 13 14:35:32 2018 read 76507522 relations
  491. Tue Feb 13 14:41:19 2018 multiplying 76507522 relations
  492. Tue Feb 13 16:13:35 2018 multiply complete, coefficients have about 2740.83 million bits
  493. Tue Feb 13 16:13:49 2018 initial square root is modulo 1403813
  494. Tue Feb 13 17:46:52 2018 sqrtTime: 12874
  495. Tue Feb 13 17:46:52 2018 p105 factor: 288997859615689068987546366153748011780888688118745319796415584832475868378576054839819741911006933777533
  496. Tue Feb 13 17:46:52 2018 p108 factor: 108855943560903772426171624825599707265387270524523680459952863958029425668378429115262173532626277003970229
  497. Tue Feb 13 17:46:52 2018 elapsed time 03:34:35
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