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  1. Wed Dec 21 14:29:06 2016  
  2. Wed Dec 21 14:29:06 2016  
  3. Wed Dec 21 14:29:06 2016  Msieve v. 1.53 (SVN 993)
  4. Wed Dec 21 14:29:06 2016  random seeds: 57bbf067 020087a0
  5. Wed Dec 21 14:29:06 2016  factoring 8738642855111442965233670480187098535413358350197329297402908429919633760898314244080407587740593977450148868248218595799425918955322438063879686614389706215923363057662004375507202190326186061970565820516555013553953850836122129079136859466750642802895878227 (259 digits)
  6. Wed Dec 21 14:29:08 2016  no P-1/P+1/ECM available, skipping
  7. Wed Dec 21 14:29:08 2016  commencing number field sieve (259-digit input)
  8. Wed Dec 21 14:29:08 2016  R0: 58073529249314919768851974028956890155855150099653849
  9. Wed Dec 21 14:29:08 2016  R1: -247064529073450392704413000000000000000000000
  10. Wed Dec 21 14:29:08 2016  A0: 16900
  11. Wed Dec 21 14:29:08 2016  A1: 0
  12. Wed Dec 21 14:29:08 2016  A2: 0
  13. Wed Dec 21 14:29:08 2016  A3: 0
  14. Wed Dec 21 14:29:08 2016  A4: 0
  15. Wed Dec 21 14:29:08 2016  A5: 1
  16. Wed Dec 21 14:29:08 2016  skew 7.01, size 2.857e-18, alpha 0.170, combined = 2.119e-14 rroots = 1
  17. Wed Dec 21 14:29:08 2016  
  18. Wed Dec 21 14:29:08 2016  commencing relation filtering
  19. Wed Dec 21 14:29:08 2016  setting target matrix density to 144.0
  20. Wed Dec 21 14:29:08 2016  estimated available RAM is 32091.8 MB
  21. Wed Dec 21 14:29:08 2016  commencing duplicate removal, pass 1
  22.  31822 faulty relations
  23. Wed Dec 21 15:52:27 2016  skipped 865 relations with b > 2^32
  24. Wed Dec 21 15:52:27 2016  skipped 1127 relations with composite factors
  25. Wed Dec 21 15:52:27 2016  found 107497590 hash collisions in 474738319 relations
  26. Wed Dec 21 15:53:05 2016  added 731598 free relations
  27. Wed Dec 21 15:53:05 2016  commencing duplicate removal, pass 2
  28. Wed Dec 21 15:59:55 2016  found 100379388 duplicates and 375090529 unique relations
  29. Wed Dec 21 15:59:55 2016  memory use: 2387.0 MB
  30. Wed Dec 21 15:59:55 2016  reading ideals above 339935232
  31. Wed Dec 21 15:59:55 2016  commencing singleton removal, initial pass
  32. Wed Dec 21 16:48:23 2016  memory use: 6024.0 MB
  33. Wed Dec 21 16:48:23 2016  reading all ideals from disk
  34. Wed Dec 21 16:49:04 2016  memory use: 6219.4 MB
  35. Wed Dec 21 16:49:23 2016  commencing in-memory singleton removal
  36. Wed Dec 21 16:49:41 2016  begin with 375090529 relations and 304245742 unique ideals
  37. Wed Dec 21 16:53:06 2016  reduce to 245935924 relations and 162199001 ideals in 15 passes
  38. Wed Dec 21 16:53:06 2016  max relations containing the same ideal: 38
  39. Wed Dec 21 16:53:23 2016  reading ideals above 720000
  40. Wed Dec 21 16:53:23 2016  commencing singleton removal, initial pass
  41. Wed Dec 21 17:48:24 2016  memory use: 5512.0 MB
  42. Wed Dec 21 17:48:25 2016  reading all ideals from disk
  43. Wed Dec 21 17:49:47 2016  memory use: 10441.7 MB
  44. Wed Dec 21 17:51:03 2016  keeping 197441083 ideals with weight <= 200, target excess is 1334455
  45. Wed Dec 21 17:52:44 2016  commencing in-memory singleton removal
  46. Wed Dec 21 17:53:24 2016  begin with 245935924 relations and 197441083 unique ideals
  47. Wed Dec 21 17:59:54 2016  reduce to 245870544 relations and 197375702 ideals in 9 passes
  48. Wed Dec 21 17:59:54 2016  max relations containing the same ideal: 200
  49. Wed Dec 21 18:02:25 2016  removing 12816954 relations and 10816954 ideals in 2000000 cliques
  50. Wed Dec 21 18:02:32 2016  commencing in-memory singleton removal
  51. Wed Dec 21 18:02:59 2016  begin with 233053590 relations and 197375702 unique ideals
  52. Wed Dec 21 18:08:24 2016  reduce to 232588428 relations and 186088624 ideals in 8 passes
  53. Wed Dec 21 18:08:24 2016  max relations containing the same ideal: 199
  54. Wed Dec 21 18:11:09 2016  removing 9651888 relations and 7651888 ideals in 2000000 cliques
  55. Wed Dec 21 18:11:15 2016  commencing in-memory singleton removal
  56. Wed Dec 21 18:11:39 2016  begin with 222936540 relations and 186088624 unique ideals
  57. Wed Dec 21 18:15:25 2016  reduce to 222638271 relations and 178135820 ideals in 8 passes
  58. Wed Dec 21 18:15:25 2016  max relations containing the same ideal: 196
  59. Wed Dec 21 18:17:34 2016  removing 8656752 relations and 6656752 ideals in 2000000 cliques
  60. Wed Dec 21 18:17:40 2016  commencing in-memory singleton removal
  61. Wed Dec 21 18:18:00 2016  begin with 213981519 relations and 178135820 unique ideals
  62. Wed Dec 21 18:21:13 2016  reduce to 213726135 relations and 171221482 ideals in 7 passes
  63. Wed Dec 21 18:21:13 2016  max relations containing the same ideal: 192
  64. Wed Dec 21 18:23:39 2016  removing 8099031 relations and 6099031 ideals in 2000000 cliques
  65. Wed Dec 21 18:23:45 2016  commencing in-memory singleton removal
  66. Wed Dec 21 18:24:10 2016  begin with 205627104 relations and 171221482 unique ideals
  67. Wed Dec 21 18:27:02 2016  reduce to 205392546 relations and 164885800 ideals in 7 passes
  68. Wed Dec 21 18:27:02 2016  max relations containing the same ideal: 187
  69. Wed Dec 21 18:29:03 2016  removing 7737767 relations and 5737767 ideals in 2000000 cliques
  70. Wed Dec 21 18:29:08 2016  commencing in-memory singleton removal
  71. Wed Dec 21 18:29:28 2016  begin with 197654779 relations and 164885800 unique ideals
  72. Wed Dec 21 18:31:35 2016  reduce to 197432187 relations and 158923533 ideals in 6 passes
  73. Wed Dec 21 18:31:35 2016  max relations containing the same ideal: 185
  74. Wed Dec 21 18:33:28 2016  removing 7480870 relations and 5480870 ideals in 2000000 cliques
  75. Wed Dec 21 18:33:34 2016  commencing in-memory singleton removal
  76. Wed Dec 21 18:33:51 2016  begin with 189951317 relations and 158923533 unique ideals
  77. Wed Dec 21 18:36:41 2016  reduce to 189736243 relations and 153225597 ideals in 7 passes
  78. Wed Dec 21 18:36:41 2016  max relations containing the same ideal: 182
  79. Wed Dec 21 18:38:48 2016  removing 7289266 relations and 5289266 ideals in 2000000 cliques
  80. Wed Dec 21 18:38:54 2016  commencing in-memory singleton removal
  81. Wed Dec 21 18:39:14 2016  begin with 182446977 relations and 153225597 unique ideals
  82. Wed Dec 21 18:41:47 2016  reduce to 182235040 relations and 147722471 ideals in 6 passes
  83. Wed Dec 21 18:41:47 2016  max relations containing the same ideal: 179
  84. Wed Dec 21 18:43:43 2016  removing 7140741 relations and 5140741 ideals in 2000000 cliques
  85. Wed Dec 21 18:43:47 2016  commencing in-memory singleton removal
  86. Wed Dec 21 18:44:06 2016  begin with 175094299 relations and 147722471 unique ideals
  87. Wed Dec 21 18:46:47 2016  reduce to 174884644 relations and 142369964 ideals in 7 passes
  88. Wed Dec 21 18:46:47 2016  max relations containing the same ideal: 177
  89. Wed Dec 21 18:48:38 2016  removing 7025310 relations and 5025310 ideals in 2000000 cliques
  90. Wed Dec 21 18:48:43 2016  commencing in-memory singleton removal
  91. Wed Dec 21 18:49:04 2016  begin with 167859334 relations and 142369964 unique ideals
  92. Wed Dec 21 18:52:22 2016  reduce to 167651116 relations and 137134240 ideals in 7 passes
  93. Wed Dec 21 18:52:22 2016  max relations containing the same ideal: 170
  94. Wed Dec 21 18:54:04 2016  removing 6928317 relations and 4928317 ideals in 2000000 cliques
  95. Wed Dec 21 18:54:09 2016  commencing in-memory singleton removal
  96. Wed Dec 21 18:54:23 2016  begin with 160722799 relations and 137134240 unique ideals
  97. Wed Dec 21 18:56:08 2016  reduce to 160513411 relations and 131994275 ideals in 6 passes
  98. Wed Dec 21 18:56:08 2016  max relations containing the same ideal: 165
  99. Wed Dec 21 18:57:59 2016  removing 6856286 relations and 4856286 ideals in 2000000 cliques
  100. Wed Dec 21 18:58:05 2016  commencing in-memory singleton removal
  101. Wed Dec 21 18:58:23 2016  begin with 153657125 relations and 131994275 unique ideals
  102. Wed Dec 21 19:00:13 2016  reduce to 153445575 relations and 126924050 ideals in 6 passes
  103. Wed Dec 21 19:00:13 2016  max relations containing the same ideal: 160
  104. Wed Dec 21 19:01:40 2016  removing 6795352 relations and 4795352 ideals in 2000000 cliques
  105. Wed Dec 21 19:01:45 2016  commencing in-memory singleton removal
  106. Wed Dec 21 19:01:57 2016  begin with 146650223 relations and 126924050 unique ideals
  107. Wed Dec 21 19:03:22 2016  reduce to 146434809 relations and 121910742 ideals in 6 passes
  108. Wed Dec 21 19:03:22 2016  max relations containing the same ideal: 156
  109. Wed Dec 21 19:04:45 2016  removing 6749641 relations and 4749641 ideals in 2000000 cliques
  110. Wed Dec 21 19:04:51 2016  commencing in-memory singleton removal
  111. Wed Dec 21 19:05:07 2016  begin with 139685168 relations and 121910742 unique ideals
  112. Wed Dec 21 19:07:33 2016  reduce to 139466063 relations and 116939296 ideals in 6 passes
  113. Wed Dec 21 19:07:33 2016  max relations containing the same ideal: 149
  114. Wed Dec 21 19:09:17 2016  removing 6709482 relations and 4709482 ideals in 2000000 cliques
  115. Wed Dec 21 19:09:22 2016  commencing in-memory singleton removal
  116. Wed Dec 21 19:09:43 2016  begin with 132756581 relations and 116939296 unique ideals
  117. Wed Dec 21 19:12:23 2016  reduce to 132531514 relations and 112001904 ideals in 6 passes
  118. Wed Dec 21 19:12:23 2016  max relations containing the same ideal: 144
  119. Wed Dec 21 19:13:41 2016  removing 6678255 relations and 4678255 ideals in 2000000 cliques
  120. Wed Dec 21 19:13:46 2016  commencing in-memory singleton removal
  121. Wed Dec 21 19:13:57 2016  begin with 125853259 relations and 112001904 unique ideals
  122. Wed Dec 21 19:15:14 2016  reduce to 125621136 relations and 107088418 ideals in 6 passes
  123. Wed Dec 21 19:15:14 2016  max relations containing the same ideal: 139
  124. Wed Dec 21 19:16:35 2016  removing 6658883 relations and 4658883 ideals in 2000000 cliques
  125. Wed Dec 21 19:16:39 2016  commencing in-memory singleton removal
  126. Wed Dec 21 19:16:52 2016  begin with 118962253 relations and 107088418 unique ideals
  127. Wed Dec 21 19:18:16 2016  reduce to 118721495 relations and 102185447 ideals in 6 passes
  128. Wed Dec 21 19:18:16 2016  max relations containing the same ideal: 134
  129. Wed Dec 21 19:19:36 2016  removing 6648243 relations and 4648243 ideals in 2000000 cliques
  130. Wed Dec 21 19:19:40 2016  commencing in-memory singleton removal
  131. Wed Dec 21 19:19:50 2016  begin with 112073252 relations and 102185447 unique ideals
  132. Wed Dec 21 19:21:04 2016  reduce to 111823315 relations and 97283536 ideals in 6 passes
  133. Wed Dec 21 19:21:04 2016  max relations containing the same ideal: 129
  134. Wed Dec 21 19:22:25 2016  removing 6640607 relations and 4640607 ideals in 2000000 cliques
  135. Wed Dec 21 19:22:28 2016  commencing in-memory singleton removal
  136. Wed Dec 21 19:22:37 2016  begin with 105182708 relations and 97283536 unique ideals
  137. Wed Dec 21 19:23:40 2016  reduce to 104919783 relations and 92375903 ideals in 6 passes
  138. Wed Dec 21 19:23:40 2016  max relations containing the same ideal: 124
  139. Wed Dec 21 19:24:41 2016  removing 6639396 relations and 4639396 ideals in 2000000 cliques
  140. Wed Dec 21 19:24:44 2016  commencing in-memory singleton removal
  141. Wed Dec 21 19:24:53 2016  begin with 98280387 relations and 92375903 unique ideals
  142. Wed Dec 21 19:25:48 2016  reduce to 98001819 relations and 87453340 ideals in 6 passes
  143. Wed Dec 21 19:25:48 2016  max relations containing the same ideal: 119
  144. Wed Dec 21 19:26:59 2016  removing 6654096 relations and 4654096 ideals in 2000000 cliques
  145. Wed Dec 21 19:27:04 2016  commencing in-memory singleton removal
  146. Wed Dec 21 19:27:17 2016  begin with 91347723 relations and 87453340 unique ideals
  147. Wed Dec 21 19:28:40 2016  reduce to 91048160 relations and 82494532 ideals in 7 passes
  148. Wed Dec 21 19:28:40 2016  max relations containing the same ideal: 112
  149. Wed Dec 21 19:29:33 2016  removing 6674790 relations and 4674790 ideals in 2000000 cliques
  150. Wed Dec 21 19:29:36 2016  commencing in-memory singleton removal
  151. Wed Dec 21 19:29:44 2016  begin with 84373370 relations and 82494532 unique ideals
  152. Wed Dec 21 19:30:39 2016  reduce to 84049104 relations and 77489213 ideals in 7 passes
  153. Wed Dec 21 19:30:39 2016  max relations containing the same ideal: 107
  154. Wed Dec 21 19:31:29 2016  removing 6708417 relations and 4708417 ideals in 2000000 cliques
  155. Wed Dec 21 19:31:32 2016  commencing in-memory singleton removal
  156. Wed Dec 21 19:31:39 2016  begin with 77340687 relations and 77489213 unique ideals
  157. Wed Dec 21 19:32:42 2016  reduce to 76984785 relations and 72417708 ideals in 7 passes
  158. Wed Dec 21 19:32:42 2016  max relations containing the same ideal: 98
  159. Wed Dec 21 19:33:50 2016  removing 6761883 relations and 4761883 ideals in 2000000 cliques
  160. Wed Dec 21 19:33:54 2016  commencing in-memory singleton removal
  161. Wed Dec 21 19:34:04 2016  begin with 70222902 relations and 72417708 unique ideals
  162. Wed Dec 21 19:35:35 2016  reduce to 69820273 relations and 67244551 ideals in 7 passes
  163. Wed Dec 21 19:35:35 2016  max relations containing the same ideal: 91
  164. Wed Dec 21 19:36:36 2016  removing 3969316 relations and 2941562 ideals in 1027754 cliques
  165. Wed Dec 21 19:36:39 2016  commencing in-memory singleton removal
  166. Wed Dec 21 19:36:48 2016  begin with 65850957 relations and 67244551 unique ideals
  167. Wed Dec 21 19:38:14 2016  reduce to 65700829 relations and 64150971 ideals in 7 passes
  168. Wed Dec 21 19:38:14 2016  max relations containing the same ideal: 89
  169. Wed Dec 21 19:39:28 2016  relations with 0 large ideals: 25443
  170. Wed Dec 21 19:39:28 2016  relations with 1 large ideals: 17401
  171. Wed Dec 21 19:39:28 2016  relations with 2 large ideals: 260569
  172. Wed Dec 21 19:39:28 2016  relations with 3 large ideals: 1701519
  173. Wed Dec 21 19:39:28 2016  relations with 4 large ideals: 6018512
  174. Wed Dec 21 19:39:28 2016  relations with 5 large ideals: 12818798
  175. Wed Dec 21 19:39:28 2016  relations with 6 large ideals: 17767935
  176. Wed Dec 21 19:39:28 2016  relations with 7+ large ideals: 27090652
  177. Wed Dec 21 19:39:28 2016  commencing 2-way merge
  178. Wed Dec 21 19:40:34 2016  reduce to 43606349 relation sets and 42056491 unique ideals
  179. Wed Dec 21 19:40:34 2016  commencing full merge
  180. Wed Dec 21 20:24:24 2016  memory use: 1950.3 MB
  181. Wed Dec 21 20:24:25 2016  found 91463 cycles, need 9353655
  182. Wed Dec 21 20:24:25 2016  too few cycles, matrix probably cannot build
  183. Fri Dec 23 09:54:25 2016  
  184. Fri Dec 23 09:54:25 2016  
  185. Fri Dec 23 09:54:25 2016  Msieve v. 1.53 (SVN 993)
  186. Fri Dec 23 09:54:25 2016  random seeds: 99640658 5607bf3e
  187. Fri Dec 23 09:54:25 2016  factoring 8738642855111442965233670480187098535413358350197329297402908429919633760898314244080407587740593977450148868248218595799425918955322438063879686614389706215923363057662004375507202190326186061970565820516555013553953850836122129079136859466750642802895878227 (259 digits)
  188. Fri Dec 23 09:54:27 2016  no P-1/P+1/ECM available, skipping
  189. Fri Dec 23 09:54:27 2016  commencing number field sieve (259-digit input)
  190. Fri Dec 23 09:54:27 2016  R0: 58073529249314919768851974028956890155855150099653849
  191. Fri Dec 23 09:54:27 2016  R1: -247064529073450392704413000000000000000000000
  192. Fri Dec 23 09:54:27 2016  A0: 16900
  193. Fri Dec 23 09:54:27 2016  A1: 0
  194. Fri Dec 23 09:54:27 2016  A2: 0
  195. Fri Dec 23 09:54:27 2016  A3: 0
  196. Fri Dec 23 09:54:27 2016  A4: 0
  197. Fri Dec 23 09:54:27 2016  A5: 1
  198. Fri Dec 23 09:54:27 2016  skew 7.01, size 2.857e-18, alpha 0.170, combined = 2.119e-14 rroots = 1
  199. Fri Dec 23 09:54:27 2016  
  200. Fri Dec 23 09:54:27 2016  commencing relation filtering
  201. Fri Dec 23 09:54:27 2016  setting target matrix density to 128.0
  202. Fri Dec 23 09:54:27 2016  estimated available RAM is 32091.8 MB
  203. Fri Dec 23 09:54:27 2016  commencing duplicate removal, pass 1
  204.  31822 faulty relations
  205. Fri Dec 23 11:15:19 2016  skipped 865 relations with b > 2^32
  206. Fri Dec 23 11:15:19 2016  skipped 1127 relations with composite factors
  207. Fri Dec 23 11:15:19 2016  found 107586436 hash collisions in 475469917 relations
  208. Fri Dec 23 11:15:54 2016  commencing duplicate removal, pass 2
  209. Fri Dec 23 11:22:48 2016  found 100379388 duplicates and 375090529 unique relations
  210. Fri Dec 23 11:22:48 2016  memory use: 2387.0 MB
  211. Fri Dec 23 11:22:48 2016  reading ideals above 339935232
  212. Fri Dec 23 11:22:48 2016  commencing singleton removal, initial pass
  213. Fri Dec 23 12:10:32 2016  memory use: 6024.0 MB
  214. Fri Dec 23 12:10:33 2016  reading all ideals from disk
  215. Fri Dec 23 12:11:01 2016  memory use: 6219.4 MB
  216. Fri Dec 23 12:11:29 2016  commencing in-memory singleton removal
  217. Fri Dec 23 12:11:50 2016  begin with 375090529 relations and 304245742 unique ideals
  218. Fri Dec 23 12:16:10 2016  reduce to 245935924 relations and 162199001 ideals in 15 passes
  219. Fri Dec 23 12:16:10 2016  max relations containing the same ideal: 38
  220. Fri Dec 23 12:16:27 2016  reading ideals above 720000
  221. Fri Dec 23 12:16:27 2016  commencing singleton removal, initial pass
  222. Fri Dec 23 13:00:30 2016  memory use: 5512.0 MB
  223. Fri Dec 23 13:00:31 2016  reading all ideals from disk
  224. Fri Dec 23 13:01:27 2016  memory use: 10441.7 MB
  225. Fri Dec 23 13:02:32 2016  keeping 197441083 ideals with weight <= 200, target excess is 1334455
  226. Fri Dec 23 13:03:41 2016  commencing in-memory singleton removal
  227. Fri Dec 23 13:04:12 2016  begin with 245935924 relations and 197441083 unique ideals
  228. Fri Dec 23 13:09:07 2016  reduce to 245870544 relations and 197375702 ideals in 9 passes
  229. Fri Dec 23 13:09:07 2016  max relations containing the same ideal: 200
  230. Fri Dec 23 13:11:42 2016  removing 12816954 relations and 10816954 ideals in 2000000 cliques
  231. Fri Dec 23 13:11:48 2016  commencing in-memory singleton removal
  232. Fri Dec 23 13:12:12 2016  begin with 233053590 relations and 197375702 unique ideals
  233. Fri Dec 23 13:15:37 2016  reduce to 232588428 relations and 186088624 ideals in 8 passes
  234. Fri Dec 23 13:15:37 2016  max relations containing the same ideal: 199
  235. Fri Dec 23 13:17:48 2016  removing 9651888 relations and 7651888 ideals in 2000000 cliques
  236. Fri Dec 23 13:17:55 2016  commencing in-memory singleton removal
  237. Fri Dec 23 13:18:18 2016  begin with 222936540 relations and 186088624 unique ideals
  238. Fri Dec 23 13:21:39 2016  reduce to 222638271 relations and 178135820 ideals in 8 passes
  239. Fri Dec 23 13:21:39 2016  max relations containing the same ideal: 196
  240. Fri Dec 23 13:23:46 2016  removing 8656752 relations and 6656752 ideals in 2000000 cliques
  241. Fri Dec 23 13:23:52 2016  commencing in-memory singleton removal
  242. Fri Dec 23 13:24:14 2016  begin with 213981519 relations and 178135820 unique ideals
  243. Fri Dec 23 13:26:59 2016  reduce to 213726135 relations and 171221482 ideals in 7 passes
  244. Fri Dec 23 13:26:59 2016  max relations containing the same ideal: 192
  245. Fri Dec 23 13:29:02 2016  removing 8099031 relations and 6099031 ideals in 2000000 cliques
  246. Fri Dec 23 13:29:08 2016  commencing in-memory singleton removal
  247. Fri Dec 23 13:29:30 2016  begin with 205627104 relations and 171221482 unique ideals
  248. Fri Dec 23 13:32:18 2016  reduce to 205392546 relations and 164885800 ideals in 7 passes
  249. Fri Dec 23 13:32:18 2016  max relations containing the same ideal: 187
  250. Fri Dec 23 13:34:17 2016  removing 7737767 relations and 5737767 ideals in 2000000 cliques
  251. Fri Dec 23 13:34:23 2016  commencing in-memory singleton removal
  252. Fri Dec 23 13:34:43 2016  begin with 197654779 relations and 164885800 unique ideals
  253. Fri Dec 23 13:36:57 2016  reduce to 197432187 relations and 158923533 ideals in 6 passes
  254. Fri Dec 23 13:36:57 2016  max relations containing the same ideal: 185
  255. Fri Dec 23 13:38:52 2016  removing 7480870 relations and 5480870 ideals in 2000000 cliques
  256. Fri Dec 23 13:38:57 2016  commencing in-memory singleton removal
  257. Fri Dec 23 13:39:17 2016  begin with 189951317 relations and 158923533 unique ideals
  258. Fri Dec 23 13:41:49 2016  reduce to 189736243 relations and 153225597 ideals in 7 passes
  259. Fri Dec 23 13:41:49 2016  max relations containing the same ideal: 182
  260. Fri Dec 23 13:43:40 2016  removing 7289266 relations and 5289266 ideals in 2000000 cliques
  261. Fri Dec 23 13:43:45 2016  commencing in-memory singleton removal
  262. Fri Dec 23 13:44:04 2016  begin with 182446977 relations and 153225597 unique ideals
  263. Fri Dec 23 13:46:03 2016  reduce to 182235040 relations and 147722471 ideals in 6 passes
  264. Fri Dec 23 13:46:03 2016  max relations containing the same ideal: 179
  265. Fri Dec 23 13:47:51 2016  removing 7140741 relations and 5140741 ideals in 2000000 cliques
  266. Fri Dec 23 13:47:56 2016  commencing in-memory singleton removal
  267. Fri Dec 23 13:48:14 2016  begin with 175094299 relations and 147722471 unique ideals
  268. Fri Dec 23 13:50:36 2016  reduce to 174884644 relations and 142369964 ideals in 7 passes
  269. Fri Dec 23 13:50:36 2016  max relations containing the same ideal: 177
  270. Fri Dec 23 13:52:19 2016  removing 7025310 relations and 5025310 ideals in 2000000 cliques
  271. Fri Dec 23 13:52:24 2016  commencing in-memory singleton removal
  272. Fri Dec 23 13:52:42 2016  begin with 167859334 relations and 142369964 unique ideals
  273. Fri Dec 23 13:54:57 2016  reduce to 167651116 relations and 137134240 ideals in 7 passes
  274. Fri Dec 23 13:54:57 2016  max relations containing the same ideal: 170
  275. Fri Dec 23 13:56:36 2016  removing 6928317 relations and 4928317 ideals in 2000000 cliques
  276. Fri Dec 23 13:56:40 2016  commencing in-memory singleton removal
  277. Fri Dec 23 13:56:58 2016  begin with 160722799 relations and 137134240 unique ideals
  278. Fri Dec 23 13:58:58 2016  reduce to 160513411 relations and 131994275 ideals in 6 passes
  279. Fri Dec 23 13:58:58 2016  max relations containing the same ideal: 165
  280. Fri Dec 23 14:00:32 2016  removing 6856286 relations and 4856286 ideals in 2000000 cliques
  281. Fri Dec 23 14:00:37 2016  commencing in-memory singleton removal
  282. Fri Dec 23 14:00:55 2016  begin with 153657125 relations and 131994275 unique ideals
  283. Fri Dec 23 14:02:38 2016  reduce to 153445575 relations and 126924050 ideals in 6 passes
  284. Fri Dec 23 14:02:38 2016  max relations containing the same ideal: 160
  285. Fri Dec 23 14:04:10 2016  removing 6795352 relations and 4795352 ideals in 2000000 cliques
  286. Fri Dec 23 14:04:14 2016  commencing in-memory singleton removal
  287. Fri Dec 23 14:04:29 2016  begin with 146650223 relations and 126924050 unique ideals
  288. Fri Dec 23 14:06:14 2016  reduce to 146434809 relations and 121910742 ideals in 6 passes
  289. Fri Dec 23 14:06:14 2016  max relations containing the same ideal: 156
  290. Fri Dec 23 14:07:40 2016  removing 6749641 relations and 4749641 ideals in 2000000 cliques
  291. Fri Dec 23 14:07:45 2016  commencing in-memory singleton removal
  292. Fri Dec 23 14:07:59 2016  begin with 139685168 relations and 121910742 unique ideals
  293. Fri Dec 23 14:09:32 2016  reduce to 139466063 relations and 116939296 ideals in 6 passes
  294. Fri Dec 23 14:09:32 2016  max relations containing the same ideal: 149
  295. Fri Dec 23 14:11:00 2016  removing 6709482 relations and 4709482 ideals in 2000000 cliques
  296. Fri Dec 23 14:11:04 2016  commencing in-memory singleton removal
  297. Fri Dec 23 14:11:18 2016  begin with 132756581 relations and 116939296 unique ideals
  298. Fri Dec 23 14:12:48 2016  reduce to 132531514 relations and 112001904 ideals in 6 passes
  299. Fri Dec 23 14:12:48 2016  max relations containing the same ideal: 144
  300. Fri Dec 23 14:14:06 2016  removing 6678255 relations and 4678255 ideals in 2000000 cliques
  301. Fri Dec 23 14:14:11 2016  commencing in-memory singleton removal
  302. Fri Dec 23 14:14:24 2016  begin with 125853259 relations and 112001904 unique ideals
  303. Fri Dec 23 14:15:48 2016  reduce to 125621136 relations and 107088418 ideals in 6 passes
  304. Fri Dec 23 14:15:48 2016  max relations containing the same ideal: 139
  305. Fri Dec 23 14:17:02 2016  removing 6658883 relations and 4658883 ideals in 2000000 cliques
  306. Fri Dec 23 14:17:06 2016  commencing in-memory singleton removal
  307. Fri Dec 23 14:17:18 2016  begin with 118962253 relations and 107088418 unique ideals
  308. Fri Dec 23 14:18:42 2016  reduce to 118721495 relations and 102185447 ideals in 6 passes
  309. Fri Dec 23 14:18:42 2016  max relations containing the same ideal: 134
  310. Fri Dec 23 14:19:56 2016  removing 6648243 relations and 4648243 ideals in 2000000 cliques
  311. Fri Dec 23 14:20:00 2016  commencing in-memory singleton removal
  312. Fri Dec 23 14:20:11 2016  begin with 112073252 relations and 102185447 unique ideals
  313. Fri Dec 23 14:21:33 2016  reduce to 111823315 relations and 97283536 ideals in 6 passes
  314. Fri Dec 23 14:21:33 2016  max relations containing the same ideal: 129
  315. Fri Dec 23 14:22:41 2016  removing 6640607 relations and 4640607 ideals in 2000000 cliques
  316. Fri Dec 23 14:22:45 2016  commencing in-memory singleton removal
  317. Fri Dec 23 14:22:56 2016  begin with 105182708 relations and 97283536 unique ideals
  318. Fri Dec 23 14:24:13 2016  reduce to 104919783 relations and 92375903 ideals in 6 passes
  319. Fri Dec 23 14:24:13 2016  max relations containing the same ideal: 124
  320. Fri Dec 23 14:25:19 2016  removing 6639396 relations and 4639396 ideals in 2000000 cliques
  321. Fri Dec 23 14:25:23 2016  commencing in-memory singleton removal
  322. Fri Dec 23 14:25:34 2016  begin with 98280387 relations and 92375903 unique ideals
  323. Fri Dec 23 14:26:50 2016  reduce to 98001819 relations and 87453340 ideals in 6 passes
  324. Fri Dec 23 14:26:50 2016  max relations containing the same ideal: 119
  325. Fri Dec 23 14:27:51 2016  removing 6654096 relations and 4654096 ideals in 2000000 cliques
  326. Fri Dec 23 14:27:55 2016  commencing in-memory singleton removal
  327. Fri Dec 23 14:28:05 2016  begin with 91347723 relations and 87453340 unique ideals
  328. Fri Dec 23 14:29:17 2016  reduce to 91048160 relations and 82494532 ideals in 7 passes
  329. Fri Dec 23 14:29:17 2016  max relations containing the same ideal: 112
  330. Fri Dec 23 14:30:13 2016  removing 6674790 relations and 4674790 ideals in 2000000 cliques
  331. Fri Dec 23 14:30:17 2016  commencing in-memory singleton removal
  332. Fri Dec 23 14:30:26 2016  begin with 84373370 relations and 82494532 unique ideals
  333. Fri Dec 23 14:31:41 2016  reduce to 84049104 relations and 77489213 ideals in 7 passes
  334. Fri Dec 23 14:31:41 2016  max relations containing the same ideal: 107
  335. Fri Dec 23 14:32:35 2016  removing 6708417 relations and 4708417 ideals in 2000000 cliques
  336. Fri Dec 23 14:32:38 2016  commencing in-memory singleton removal
  337. Fri Dec 23 14:32:47 2016  begin with 77340687 relations and 77489213 unique ideals
  338. Fri Dec 23 14:33:48 2016  reduce to 76984785 relations and 72417708 ideals in 7 passes
  339. Fri Dec 23 14:33:48 2016  max relations containing the same ideal: 98
  340. Fri Dec 23 14:34:37 2016  removing 6761883 relations and 4761883 ideals in 2000000 cliques
  341. Fri Dec 23 14:34:40 2016  commencing in-memory singleton removal
  342. Fri Dec 23 14:34:47 2016  begin with 70222902 relations and 72417708 unique ideals
  343. Fri Dec 23 14:35:41 2016  reduce to 69820273 relations and 67244551 ideals in 7 passes
  344. Fri Dec 23 14:35:41 2016  max relations containing the same ideal: 91
  345. Fri Dec 23 14:36:24 2016  removing 3969316 relations and 2941562 ideals in 1027754 cliques
  346. Fri Dec 23 14:36:27 2016  commencing in-memory singleton removal
  347. Fri Dec 23 14:36:33 2016  begin with 65850957 relations and 67244551 unique ideals
  348. Fri Dec 23 14:37:23 2016  reduce to 65700829 relations and 64150971 ideals in 7 passes
  349. Fri Dec 23 14:37:23 2016  max relations containing the same ideal: 89
  350. Fri Dec 23 14:38:18 2016  relations with 0 large ideals: 25443
  351. Fri Dec 23 14:38:18 2016  relations with 1 large ideals: 17401
  352. Fri Dec 23 14:38:18 2016  relations with 2 large ideals: 260569
  353. Fri Dec 23 14:38:18 2016  relations with 3 large ideals: 1701519
  354. Fri Dec 23 14:38:18 2016  relations with 4 large ideals: 6018512
  355. Fri Dec 23 14:38:18 2016  relations with 5 large ideals: 12818798
  356. Fri Dec 23 14:38:18 2016  relations with 6 large ideals: 17767935
  357. Fri Dec 23 14:38:18 2016  relations with 7+ large ideals: 27090652
  358. Fri Dec 23 14:38:18 2016  commencing 2-way merge
  359. Fri Dec 23 14:39:10 2016  reduce to 43606349 relation sets and 42056491 unique ideals
  360. Fri Dec 23 14:39:10 2016  commencing full merge
  361. Fri Dec 23 15:00:54 2016  memory use: 5398.0 MB
  362. Fri Dec 23 15:01:01 2016  found 19699585 cycles, need 19572691
  363. Fri Dec 23 15:01:09 2016  weight of 19572691 cycles is about 2505614909 (128.02/cycle)
  364. Fri Dec 23 15:01:09 2016  distribution of cycle lengths:
  365. Fri Dec 23 15:01:09 2016  1 relations: 716506
  366. Fri Dec 23 15:01:09 2016  2 relations: 1075914
  367. Fri Dec 23 15:01:09 2016  3 relations: 1323914
  368. Fri Dec 23 15:01:09 2016  4 relations: 1410776
  369. Fri Dec 23 15:01:09 2016  5 relations: 1472548
  370. Fri Dec 23 15:01:09 2016  6 relations: 1482849
  371. Fri Dec 23 15:01:09 2016  7 relations: 1476252
  372. Fri Dec 23 15:01:09 2016  8 relations: 1420045
  373. Fri Dec 23 15:01:09 2016  9 relations: 1342302
  374. Fri Dec 23 15:01:09 2016  10+ relations: 7851585
  375. Fri Dec 23 15:01:09 2016  heaviest cycle: 28 relations
  376. Fri Dec 23 15:01:18 2016  commencing cycle optimization
  377. Fri Dec 23 15:02:22 2016  start with 172737409 relations
  378. Fri Dec 23 15:10:56 2016  pruned 8453810 relations
  379. Fri Dec 23 15:10:57 2016  memory use: 4510.9 MB
  380. Fri Dec 23 15:10:57 2016  distribution of cycle lengths:
  381. Fri Dec 23 15:10:57 2016  1 relations: 716506
  382. Fri Dec 23 15:10:57 2016  2 relations: 1105674
  383. Fri Dec 23 15:10:57 2016  3 relations: 1384471
  384. Fri Dec 23 15:10:57 2016  4 relations: 1475689
  385. Fri Dec 23 15:10:57 2016  5 relations: 1554854
  386. Fri Dec 23 15:10:57 2016  6 relations: 1564045
  387. Fri Dec 23 15:10:57 2016  7 relations: 1563837
  388. Fri Dec 23 15:10:57 2016  8 relations: 1497979
  389. Fri Dec 23 15:10:57 2016  9 relations: 1411546
  390. Fri Dec 23 15:10:57 2016  10+ relations: 7298090
  391. Fri Dec 23 15:10:57 2016  heaviest cycle: 28 relations
  392. Fri Dec 23 15:11:52 2016  RelProcTime: 19045
  393. Fri Dec 23 15:11:52 2016  elapsed time 05:17:27
  394. Fri Dec 23 17:09:13 2016  
  395. Fri Dec 23 17:09:13 2016  
  396. Fri Dec 23 17:09:13 2016  Msieve v. 1.53 (SVN 993)
  397. Fri Dec 23 17:09:13 2016  random seeds: d5845b58 ff70e46e
  398. Fri Dec 23 17:09:13 2016  factoring 8738642855111442965233670480187098535413358350197329297402908429919633760898314244080407587740593977450148868248218595799425918955322438063879686614389706215923363057662004375507202190326186061970565820516555013553953850836122129079136859466750642802895878227 (259 digits)
  399. Fri Dec 23 17:09:15 2016  no P-1/P+1/ECM available, skipping
  400. Fri Dec 23 17:09:15 2016  commencing number field sieve (259-digit input)
  401. Fri Dec 23 17:09:15 2016  R0: 58073529249314919768851974028956890155855150099653849
  402. Fri Dec 23 17:09:15 2016  R1: -247064529073450392704413000000000000000000000
  403. Fri Dec 23 17:09:15 2016  A0: 16900
  404. Fri Dec 23 17:09:15 2016  A1: 0
  405. Fri Dec 23 17:09:15 2016  A2: 0
  406. Fri Dec 23 17:09:15 2016  A3: 0
  407. Fri Dec 23 17:09:15 2016  A4: 0
  408. Fri Dec 23 17:09:15 2016  A5: 1
  409. Fri Dec 23 17:09:15 2016  skew 7.01, size 2.857e-18, alpha 0.170, combined = 2.119e-14 rroots = 1
  410. Fri Dec 23 17:09:15 2016  
  411. Fri Dec 23 17:09:15 2016  commencing linear algebra
  412. Fri Dec 23 17:09:17 2016  read 19572691 cycles
  413. Fri Dec 23 17:10:16 2016  cycles contain 64970289 unique relations
  414. Fri Dec 23 17:17:40 2016  read 64970289 relations
  415. Fri Dec 23 17:19:36 2016  using 20 quadratic characters above 4294917295
  416. Fri Dec 23 17:25:43 2016  building initial matrix
  417. Fri Dec 23 17:41:47 2016  memory use: 8275.8 MB
  418. Fri Dec 23 17:41:57 2016  read 19572691 cycles
  419. Fri Dec 23 17:42:01 2016  matrix is 19572513 x 19572691 (9699.8 MB) with weight 2762212422 (141.13/col)
  420. Fri Dec 23 17:42:01 2016  sparse part has weight 2327431820 (118.91/col)
  421. Fri Dec 23 17:46:34 2016  filtering completed in 2 passes
  422. Fri Dec 23 17:46:38 2016  matrix is 19572213 x 19572391 (9699.7 MB) with weight 2762201994 (141.13/col)
  423. Fri Dec 23 17:46:38 2016  sparse part has weight 2327427997 (118.91/col)
  424. Fri Dec 23 17:48:17 2016  matrix starts at (0, 0)
  425. Fri Dec 23 17:48:21 2016  matrix is 19572213 x 19572391 (9699.7 MB) with weight 2762201994 (141.13/col)
  426. Fri Dec 23 17:48:21 2016  sparse part has weight 2327427997 (118.91/col)
  427. Fri Dec 23 17:48:21 2016  saving the first 48 matrix rows for later
  428. Fri Dec 23 17:48:25 2016  matrix includes 64 packed rows
  429. Fri Dec 23 17:48:28 2016  matrix is 19572165 x 19572391 (9309.9 MB) with weight 2409405613 (123.10/col)
  430. Fri Dec 23 17:48:28 2016  sparse part has weight 2244809206 (114.69/col)
  431. Fri Dec 23 17:48:29 2016  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  432. Fri Dec 23 17:50:45 2016  commencing Lanczos iteration (7 threads)
  433. Fri Dec 23 17:50:45 2016  memory use: 8024.5 MB
  434. Fri Dec 23 17:51:44 2016  linear algebra at 0.0%, ETA 200h48m
  435. Fri Dec 23 17:52:03 2016  checkpointing every 100000 dimensions
  436. Sat Dec 31 18:10:40 2016  lanczos halted after 309518 iterations (dim = 19572163)
  437. Sat Dec 31 18:11:17 2016  recovered 37 nontrivial dependencies
  438. Sat Dec 31 18:11:18 2016  BLanczosTime: 694923
  439. Sat Dec 31 18:11:18 2016  elapsed time 193:02:05
  440. Sat Dec 31 18:11:18 2016  
  441. Sat Dec 31 18:11:18 2016  
  442. Sat Dec 31 18:11:18 2016  Msieve v. 1.53 (SVN 993)
  443. Sat Dec 31 18:11:18 2016  random seeds: 48789479 ac209875
  444. Sat Dec 31 18:11:18 2016  factoring 8738642855111442965233670480187098535413358350197329297402908429919633760898314244080407587740593977450148868248218595799425918955322438063879686614389706215923363057662004375507202190326186061970565820516555013553953850836122129079136859466750642802895878227 (259 digits)
  445. Sat Dec 31 18:11:20 2016  no P-1/P+1/ECM available, skipping
  446. Sat Dec 31 18:11:20 2016  commencing number field sieve (259-digit input)
  447. Sat Dec 31 18:11:20 2016  R0: 58073529249314919768851974028956890155855150099653849
  448. Sat Dec 31 18:11:20 2016  R1: -247064529073450392704413000000000000000000000
  449. Sat Dec 31 18:11:20 2016  A0: 16900
  450. Sat Dec 31 18:11:20 2016  A1: 0
  451. Sat Dec 31 18:11:20 2016  A2: 0
  452. Sat Dec 31 18:11:20 2016  A3: 0
  453. Sat Dec 31 18:11:20 2016  A4: 0
  454. Sat Dec 31 18:11:20 2016  A5: 1
  455. Sat Dec 31 18:11:20 2016  skew 7.01, size 2.857e-18, alpha 0.170, combined = 2.119e-14 rroots = 1
  456. Sat Dec 31 18:11:20 2016  
  457. Sat Dec 31 18:11:20 2016  commencing square root phase
  458. Sat Dec 31 18:11:20 2016  reading relations for dependency 1
  459. Sat Dec 31 18:11:24 2016  read 9787330 cycles
  460. Sat Dec 31 18:11:52 2016  cycles contain 32488180 unique relations
  461. Sat Dec 31 18:18:26 2016  read 32488180 relations
  462. Sat Dec 31 18:22:13 2016  multiplying 32488180 relations
  463. Sat Dec 31 18:47:55 2016  multiply complete, coefficients have about 914.89 million bits
  464. Sat Dec 31 18:47:58 2016  initial square root is modulo 161400181
  465. Sat Dec 31 19:18:01 2016  sqrtTime: 4001
  466. Sat Dec 31 19:18:01 2016  p58 factor: 3999839297961516973317455300067207441662829853214358324637
  467. Sat Dec 31 19:18:01 2016  p202 factor: 2184748487161725640798422980748771429822254009453373549062578802613904737641583445525737016474715535173657240054375802600333601842873750603880590407075116125479095685373833571716283050687825303328017071
  468. Sat Dec 31 19:18:01 2016  elapsed time 01:06:43
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