API tools faq
paste
Advertisement
fivemack

L1947 linear algebra log

fivemack
Feb 5th, 2019
619
0
Never
Add comment
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
text 85.51 KB | None | 0 0
raw download clone embed print report
  1. Wed Jan 23 10:45:07 2019
  2. Wed Jan 23 10:45:07 2019
  3. Wed Jan 23 10:45:07 2019 Msieve v. 1.53 (SVN 993)
  4. Wed Jan 23 10:45:07 2019 random seeds: 66c8086d a5195dce
  5. Wed Jan 23 10:45:07 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  6. Wed Jan 23 10:45:10 2019 no P-1/P+1/ECM available, skipping
  7. Wed Jan 23 10:45:10 2019 commencing number field sieve (224-digit input)
  8. Wed Jan 23 10:45:10 2019 R0: -619220451666590135228675387863297874269396512
  9. Wed Jan 23 10:45:10 2019 R1: 1001919737325604309473206237898433933302481297
  10. Wed Jan 23 10:45:10 2019 A0: 4
  11. Wed Jan 23 10:45:10 2019 A1: 3
  12. Wed Jan 23 10:45:10 2019 A2: 30
  13. Wed Jan 23 10:45:10 2019 A3: -15
  14. Wed Jan 23 10:45:10 2019 A4: 45
  15. Wed Jan 23 10:45:10 2019 A5: -27
  16. Wed Jan 23 10:45:10 2019 A6: 6
  17. Wed Jan 23 10:45:10 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  18. Wed Jan 23 10:45:10 2019
  19. Wed Jan 23 10:45:10 2019 commencing relation filtering
  20. Wed Jan 23 10:45:10 2019 setting target matrix density to 70.0
  21. Wed Jan 23 10:45:10 2019 estimated available RAM is 95375.2 MB
  22. Wed Jan 23 10:45:10 2019 commencing duplicate removal, pass 1
  23. 8 errors
  24. Wed Jan 23 13:44:02 2019 skipped 1 relations with composite factors
  25. Wed Jan 23 13:44:02 2019 found 27967649 hash collisions in 366169797 relations
  26. Wed Jan 23 13:44:54 2019 added 812293 free relations
  27. Wed Jan 23 13:44:54 2019 commencing duplicate removal, pass 2
  28. Wed Jan 23 13:50:32 2019 found 1 duplicates and 366982089 unique relations
  29. Wed Jan 23 13:50:32 2019 memory use: 1321.5 MB
  30. Wed Jan 23 13:50:32 2019 reading ideals above 720000
  31. Wed Jan 23 13:50:33 2019 commencing singleton removal, initial pass
  32. Wed Jan 23 15:56:39 2019 memory use: 11024.0 MB
  33. Wed Jan 23 15:56:42 2019 reading all ideals from disk
  34. Wed Jan 23 15:57:20 2019 memory use: 15579.1 MB
  35. Wed Jan 23 16:00:34 2019 keeping 344182502 ideals with weight <= 200, target excess is 1843383
  36. Wed Jan 23 16:03:30 2019 commencing in-memory singleton removal
  37. Wed Jan 23 16:06:09 2019 begin with 366982089 relations and 344182502 unique ideals
  38. Wed Jan 23 16:25:59 2019 reduce to 236506587 relations and 200339007 ideals in 17 passes
  39. Wed Jan 23 16:25:59 2019 max relations containing the same ideal: 158
  40. Wed Jan 23 16:29:58 2019 removing 14248547 relations and 12248547 ideals in 2000000 cliques
  41. Wed Jan 23 16:30:09 2019 commencing in-memory singleton removal
  42. Wed Jan 23 16:30:49 2019 begin with 222258040 relations and 200339007 unique ideals
  43. Wed Jan 23 16:37:35 2019 reduce to 221547450 relations and 187371419 ideals in 9 passes
  44. Wed Jan 23 16:37:35 2019 max relations containing the same ideal: 153
  45. Wed Jan 23 16:40:43 2019 removing 10715674 relations and 8715674 ideals in 2000000 cliques
  46. Wed Jan 23 16:40:52 2019 commencing in-memory singleton removal
  47. Wed Jan 23 16:41:22 2019 begin with 210831776 relations and 187371419 unique ideals
  48. Wed Jan 23 16:46:46 2019 reduce to 210386060 relations and 178205638 ideals in 8 passes
  49. Wed Jan 23 16:46:46 2019 max relations containing the same ideal: 149
  50. Wed Jan 23 16:49:43 2019 removing 9615753 relations and 7615753 ideals in 2000000 cliques
  51. Wed Jan 23 16:49:51 2019 commencing in-memory singleton removal
  52. Wed Jan 23 16:50:18 2019 begin with 200770307 relations and 178205638 unique ideals
  53. Wed Jan 23 16:55:11 2019 reduce to 200391151 relations and 170206958 ideals in 8 passes
  54. Wed Jan 23 16:55:11 2019 max relations containing the same ideal: 143
  55. Wed Jan 23 16:58:13 2019 removing 9025030 relations and 7025030 ideals in 2000000 cliques
  56. Wed Jan 23 16:58:23 2019 commencing in-memory singleton removal
  57. Wed Jan 23 16:58:57 2019 begin with 191366121 relations and 170206958 unique ideals
  58. Wed Jan 23 17:04:53 2019 reduce to 191015460 relations and 162827917 ideals in 9 passes
  59. Wed Jan 23 17:04:53 2019 max relations containing the same ideal: 141
  60. Wed Jan 23 17:07:36 2019 removing 8643298 relations and 6643298 ideals in 2000000 cliques
  61. Wed Jan 23 17:07:43 2019 commencing in-memory singleton removal
  62. Wed Jan 23 17:08:08 2019 begin with 182372162 relations and 162827917 unique ideals
  63. Wed Jan 23 17:12:23 2019 reduce to 182035911 relations and 155845015 ideals in 8 passes
  64. Wed Jan 23 17:12:23 2019 max relations containing the same ideal: 135
  65. Wed Jan 23 17:15:16 2019 removing 8385227 relations and 6385227 ideals in 2000000 cliques
  66. Wed Jan 23 17:15:25 2019 commencing in-memory singleton removal
  67. Wed Jan 23 17:15:56 2019 begin with 173650684 relations and 155845015 unique ideals
  68. Wed Jan 23 17:19:53 2019 reduce to 173321305 relations and 149127106 ideals in 7 passes
  69. Wed Jan 23 17:19:53 2019 max relations containing the same ideal: 133
  70. Wed Jan 23 17:22:49 2019 removing 8195458 relations and 6195458 ideals in 2000000 cliques
  71. Wed Jan 23 17:22:57 2019 commencing in-memory singleton removal
  72. Wed Jan 23 17:23:22 2019 begin with 165125847 relations and 149127106 unique ideals
  73. Wed Jan 23 17:27:58 2019 reduce to 164798236 relations and 142600521 ideals in 8 passes
  74. Wed Jan 23 17:27:58 2019 max relations containing the same ideal: 128
  75. Wed Jan 23 17:30:30 2019 removing 8064787 relations and 6064787 ideals in 2000000 cliques
  76. Wed Jan 23 17:30:36 2019 commencing in-memory singleton removal
  77. Wed Jan 23 17:30:55 2019 begin with 156733449 relations and 142600521 unique ideals
  78. Wed Jan 23 17:34:40 2019 reduce to 156402000 relations and 136200587 ideals in 7 passes
  79. Wed Jan 23 17:34:40 2019 max relations containing the same ideal: 122
  80. Wed Jan 23 17:36:56 2019 removing 7968574 relations and 5968574 ideals in 2000000 cliques
  81. Wed Jan 23 17:37:02 2019 commencing in-memory singleton removal
  82. Wed Jan 23 17:37:21 2019 begin with 148433426 relations and 136200587 unique ideals
  83. Wed Jan 23 17:41:17 2019 reduce to 148095021 relations and 129889640 ideals in 8 passes
  84. Wed Jan 23 17:41:17 2019 max relations containing the same ideal: 120
  85. Wed Jan 23 17:43:44 2019 removing 7908283 relations and 5908283 ideals in 2000000 cliques
  86. Wed Jan 23 17:43:52 2019 commencing in-memory singleton removal
  87. Wed Jan 23 17:44:16 2019 begin with 140186738 relations and 129889640 unique ideals
  88. Wed Jan 23 17:47:51 2019 reduce to 139837606 relations and 123628031 ideals in 8 passes
  89. Wed Jan 23 17:47:51 2019 max relations containing the same ideal: 117
  90. Wed Jan 23 17:49:48 2019 removing 7866544 relations and 5866544 ideals in 2000000 cliques
  91. Wed Jan 23 17:49:54 2019 commencing in-memory singleton removal
  92. Wed Jan 23 17:50:11 2019 begin with 131971062 relations and 123628031 unique ideals
  93. Wed Jan 23 17:52:42 2019 reduce to 131606765 relations and 117392590 ideals in 7 passes
  94. Wed Jan 23 17:52:42 2019 max relations containing the same ideal: 111
  95. Wed Jan 23 17:54:32 2019 removing 7850362 relations and 5850362 ideals in 2000000 cliques
  96. Wed Jan 23 17:54:38 2019 commencing in-memory singleton removal
  97. Wed Jan 23 17:54:53 2019 begin with 123756403 relations and 117392590 unique ideals
  98. Wed Jan 23 17:57:34 2019 reduce to 123374822 relations and 111155456 ideals in 8 passes
  99. Wed Jan 23 17:57:34 2019 max relations containing the same ideal: 107
  100. Wed Jan 23 17:59:31 2019 removing 7851165 relations and 5851165 ideals in 2000000 cliques
  101. Wed Jan 23 17:59:37 2019 commencing in-memory singleton removal
  102. Wed Jan 23 17:59:55 2019 begin with 115523657 relations and 111155456 unique ideals
  103. Wed Jan 23 18:02:09 2019 reduce to 115119486 relations and 104894477 ideals in 7 passes
  104. Wed Jan 23 18:02:09 2019 max relations containing the same ideal: 99
  105. Wed Jan 23 18:03:56 2019 removing 7873314 relations and 5873314 ideals in 2000000 cliques
  106. Wed Jan 23 18:04:03 2019 commencing in-memory singleton removal
  107. Wed Jan 23 18:04:21 2019 begin with 107246172 relations and 104894477 unique ideals
  108. Wed Jan 23 18:07:01 2019 reduce to 106814043 relations and 98582543 ideals in 8 passes
  109. Wed Jan 23 18:07:01 2019 max relations containing the same ideal: 96
  110. Wed Jan 23 18:08:47 2019 removing 7910953 relations and 5910953 ideals in 2000000 cliques
  111. Wed Jan 23 18:08:53 2019 commencing in-memory singleton removal
  112. Wed Jan 23 18:09:05 2019 begin with 98903090 relations and 98582543 unique ideals
  113. Wed Jan 23 18:11:58 2019 reduce to 98434322 relations and 92195452 ideals in 9 passes
  114. Wed Jan 23 18:11:58 2019 max relations containing the same ideal: 91
  115. Wed Jan 23 18:13:32 2019 removing 7963980 relations and 5963980 ideals in 2000000 cliques
  116. Wed Jan 23 18:13:37 2019 commencing in-memory singleton removal
  117. Wed Jan 23 18:13:50 2019 begin with 90470342 relations and 92195452 unique ideals
  118. Wed Jan 23 18:16:03 2019 reduce to 89956668 relations and 85708847 ideals in 8 passes
  119. Wed Jan 23 18:16:03 2019 max relations containing the same ideal: 87
  120. Wed Jan 23 18:17:28 2019 removing 8043537 relations and 6043537 ideals in 2000000 cliques
  121. Wed Jan 23 18:17:33 2019 commencing in-memory singleton removal
  122. Wed Jan 23 18:17:46 2019 begin with 81913131 relations and 85708847 unique ideals
  123. Wed Jan 23 18:20:05 2019 reduce to 81338430 relations and 79079901 ideals in 9 passes
  124. Wed Jan 23 18:20:05 2019 max relations containing the same ideal: 84
  125. Wed Jan 23 18:21:26 2019 removing 790018 relations and 669814 ideals in 120204 cliques
  126. Wed Jan 23 18:21:29 2019 commencing in-memory singleton removal
  127. Wed Jan 23 18:21:40 2019 begin with 80548412 relations and 79079901 unique ideals
  128. Wed Jan 23 18:23:11 2019 reduce to 80543326 relations and 78404996 ideals in 6 passes
  129. Wed Jan 23 18:23:11 2019 max relations containing the same ideal: 83
  130. Wed Jan 23 18:23:43 2019 relations with 0 large ideals: 46765
  131. Wed Jan 23 18:23:43 2019 relations with 1 large ideals: 32782
  132. Wed Jan 23 18:23:43 2019 relations with 2 large ideals: 428291
  133. Wed Jan 23 18:23:43 2019 relations with 3 large ideals: 2608218
  134. Wed Jan 23 18:23:43 2019 relations with 4 large ideals: 8645751
  135. Wed Jan 23 18:23:43 2019 relations with 5 large ideals: 17221921
  136. Wed Jan 23 18:23:43 2019 relations with 6 large ideals: 21604125
  137. Wed Jan 23 18:23:43 2019 relations with 7+ large ideals: 29955473
  138. Wed Jan 23 18:23:43 2019 commencing 2-way merge
  139. Wed Jan 23 18:25:21 2019 reduce to 51384366 relation sets and 49246036 unique ideals
  140. Wed Jan 23 18:25:21 2019 commencing full merge
  141. Wed Jan 23 18:47:57 2019 memory use: 5974.1 MB
  142. Wed Jan 23 18:48:06 2019 found 28180793 cycles, need 27886236
  143. Wed Jan 23 18:48:28 2019 weight of 27886236 cycles is about 1952191857 (70.01/cycle)
  144. Wed Jan 23 18:48:29 2019 distribution of cycle lengths:
  145. Wed Jan 23 18:48:29 2019 1 relations: 4047842
  146. Wed Jan 23 18:48:29 2019 2 relations: 3593832
  147. Wed Jan 23 18:48:29 2019 3 relations: 3489131
  148. Wed Jan 23 18:48:29 2019 4 relations: 3200422
  149. Wed Jan 23 18:48:29 2019 5 relations: 2887013
  150. Wed Jan 23 18:48:29 2019 6 relations: 2550876
  151. Wed Jan 23 18:48:29 2019 7 relations: 2172536
  152. Wed Jan 23 18:48:29 2019 8 relations: 1755801
  153. Wed Jan 23 18:48:29 2019 9 relations: 1353525
  154. Wed Jan 23 18:48:29 2019 10+ relations: 2835258
  155. Wed Jan 23 18:48:29 2019 heaviest cycle: 18 relations
  156. Wed Jan 23 18:48:44 2019 commencing cycle optimization
  157. Wed Jan 23 18:49:48 2019 start with 137930908 relations
  158. Wed Jan 23 18:55:10 2019 pruned 3173269 relations
  159. Wed Jan 23 18:55:14 2019 memory use: 4698.6 MB
  160. Wed Jan 23 18:55:14 2019 distribution of cycle lengths:
  161. Wed Jan 23 18:55:14 2019 1 relations: 4047842
  162. Wed Jan 23 18:55:14 2019 2 relations: 3671311
  163. Wed Jan 23 18:55:14 2019 3 relations: 3608196
  164. Wed Jan 23 18:55:14 2019 4 relations: 3274670
  165. Wed Jan 23 18:55:14 2019 5 relations: 2959903
  166. Wed Jan 23 18:55:14 2019 6 relations: 2588376
  167. Wed Jan 23 18:55:14 2019 7 relations: 2188135
  168. Wed Jan 23 18:55:14 2019 8 relations: 1738303
  169. Wed Jan 23 18:55:14 2019 9 relations: 1314572
  170. Wed Jan 23 18:55:14 2019 10+ relations: 2494928
  171. Wed Jan 23 18:55:14 2019 heaviest cycle: 17 relations
  172. Wed Jan 23 18:56:36 2019 RelProcTime: 29486
  173. Wed Jan 23 18:56:40 2019 elapsed time 08:11:33
  174. Wed Jan 23 18:56:42 2019
  175. Wed Jan 23 18:56:42 2019
  176. Wed Jan 23 18:56:42 2019 Msieve v. 1.53 (SVN 993)
  177. Wed Jan 23 18:56:42 2019 random seeds: 582db7bf 75f9b028
  178. Wed Jan 23 18:56:42 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  179. Wed Jan 23 18:56:46 2019 no P-1/P+1/ECM available, skipping
  180. Wed Jan 23 18:56:46 2019 commencing number field sieve (224-digit input)
  181. Wed Jan 23 18:56:46 2019 R0: -619220451666590135228675387863297874269396512
  182. Wed Jan 23 18:56:46 2019 R1: 1001919737325604309473206237898433933302481297
  183. Wed Jan 23 18:56:46 2019 A0: 4
  184. Wed Jan 23 18:56:46 2019 A1: 3
  185. Wed Jan 23 18:56:46 2019 A2: 30
  186. Wed Jan 23 18:56:46 2019 A3: -15
  187. Wed Jan 23 18:56:46 2019 A4: 45
  188. Wed Jan 23 18:56:46 2019 A5: -27
  189. Wed Jan 23 18:56:46 2019 A6: 6
  190. Wed Jan 23 18:56:46 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  191. Wed Jan 23 18:56:46 2019
  192. Wed Jan 23 18:56:46 2019 commencing relation filtering
  193. Wed Jan 23 18:56:46 2019 setting target matrix density to 134.0
  194. Wed Jan 23 18:56:46 2019 estimated available RAM is 95375.2 MB
  195. Wed Jan 23 18:56:46 2019 commencing duplicate removal, pass 1
  196. 8 errors
  197. Wed Jan 23 21:04:19 2019 skipped 1 relations with composite factors
  198. Wed Jan 23 21:04:19 2019 found 28084677 hash collisions in 366982090 relations
  199. Wed Jan 23 21:04:42 2019 commencing duplicate removal, pass 2
  200. Wed Jan 23 21:07:50 2019 found 1 duplicates and 366982089 unique relations
  201. Wed Jan 23 21:07:50 2019 memory use: 1321.5 MB
  202. Wed Jan 23 21:07:50 2019 reading ideals above 720000
  203. Wed Jan 23 21:07:50 2019 commencing singleton removal, initial pass
  204. Thu Jan 24 00:09:28 2019 memory use: 11024.0 MB
  205. Thu Jan 24 00:09:30 2019 reading all ideals from disk
  206. Thu Jan 24 00:10:01 2019 memory use: 15579.1 MB
  207. Thu Jan 24 00:12:44 2019 keeping 344182502 ideals with weight <= 200, target excess is 1843383
  208. Thu Jan 24 00:16:32 2019 commencing in-memory singleton removal
  209. Thu Jan 24 00:19:13 2019 begin with 366982089 relations and 344182502 unique ideals
  210. Thu Jan 24 00:55:46 2019 reduce to 236506587 relations and 200339007 ideals in 17 passes
  211. Thu Jan 24 00:55:46 2019 max relations containing the same ideal: 158
  212. Thu Jan 24 01:04:10 2019 removing 14248547 relations and 12248547 ideals in 2000000 cliques
  213. Thu Jan 24 01:04:28 2019 commencing in-memory singleton removal
  214. Thu Jan 24 01:05:48 2019 begin with 222258040 relations and 200339007 unique ideals
  215. Thu Jan 24 01:22:08 2019 reduce to 221547450 relations and 187371419 ideals in 9 passes
  216. Thu Jan 24 01:22:08 2019 max relations containing the same ideal: 153
  217. Thu Jan 24 01:29:49 2019 removing 10715674 relations and 8715674 ideals in 2000000 cliques
  218. Thu Jan 24 01:30:05 2019 commencing in-memory singleton removal
  219. Thu Jan 24 01:31:09 2019 begin with 210831776 relations and 187371419 unique ideals
  220. Thu Jan 24 01:40:11 2019 reduce to 210386060 relations and 178205638 ideals in 8 passes
  221. Thu Jan 24 01:40:11 2019 max relations containing the same ideal: 149
  222. Thu Jan 24 01:48:04 2019 removing 9615753 relations and 7615753 ideals in 2000000 cliques
  223. Thu Jan 24 01:48:19 2019 commencing in-memory singleton removal
  224. Thu Jan 24 01:49:28 2019 begin with 200770307 relations and 178205638 unique ideals
  225. Thu Jan 24 02:02:21 2019 reduce to 200391151 relations and 170206958 ideals in 8 passes
  226. Thu Jan 24 02:02:21 2019 max relations containing the same ideal: 143
  227. Thu Jan 24 02:09:20 2019 removing 9025030 relations and 7025030 ideals in 2000000 cliques
  228. Thu Jan 24 02:09:35 2019 commencing in-memory singleton removal
  229. Thu Jan 24 02:10:39 2019 begin with 191366121 relations and 170206958 unique ideals
  230. Thu Jan 24 02:24:15 2019 reduce to 191015460 relations and 162827917 ideals in 9 passes
  231. Thu Jan 24 02:24:15 2019 max relations containing the same ideal: 141
  232. Thu Jan 24 02:30:50 2019 removing 8643298 relations and 6643298 ideals in 2000000 cliques
  233. Thu Jan 24 02:31:04 2019 commencing in-memory singleton removal
  234. Thu Jan 24 02:32:05 2019 begin with 182372162 relations and 162827917 unique ideals
  235. Thu Jan 24 02:42:54 2019 reduce to 182035911 relations and 155845015 ideals in 8 passes
  236. Thu Jan 24 02:42:54 2019 max relations containing the same ideal: 135
  237. Thu Jan 24 02:49:05 2019 removing 8385227 relations and 6385227 ideals in 2000000 cliques
  238. Thu Jan 24 02:49:20 2019 commencing in-memory singleton removal
  239. Thu Jan 24 02:50:18 2019 begin with 173650684 relations and 155845015 unique ideals
  240. Thu Jan 24 02:59:34 2019 reduce to 173321305 relations and 149127106 ideals in 7 passes
  241. Thu Jan 24 02:59:34 2019 max relations containing the same ideal: 133
  242. Thu Jan 24 03:05:40 2019 removing 8195458 relations and 6195458 ideals in 2000000 cliques
  243. Thu Jan 24 03:05:53 2019 commencing in-memory singleton removal
  244. Thu Jan 24 03:06:48 2019 begin with 165125847 relations and 149127106 unique ideals
  245. Thu Jan 24 03:16:58 2019 reduce to 164798236 relations and 142600521 ideals in 8 passes
  246. Thu Jan 24 03:16:58 2019 max relations containing the same ideal: 128
  247. Thu Jan 24 03:22:20 2019 removing 8064787 relations and 6064787 ideals in 2000000 cliques
  248. Thu Jan 24 03:22:28 2019 commencing in-memory singleton removal
  249. Thu Jan 24 03:23:12 2019 begin with 156733449 relations and 142600521 unique ideals
  250. Thu Jan 24 03:32:22 2019 reduce to 156402000 relations and 136200587 ideals in 7 passes
  251. Thu Jan 24 03:32:22 2019 max relations containing the same ideal: 122
  252. Thu Jan 24 03:37:51 2019 removing 7968574 relations and 5968574 ideals in 2000000 cliques
  253. Thu Jan 24 03:38:03 2019 commencing in-memory singleton removal
  254. Thu Jan 24 03:38:52 2019 begin with 148433426 relations and 136200587 unique ideals
  255. Thu Jan 24 03:47:44 2019 reduce to 148095021 relations and 129889640 ideals in 8 passes
  256. Thu Jan 24 03:47:44 2019 max relations containing the same ideal: 120
  257. Thu Jan 24 03:52:52 2019 removing 7908283 relations and 5908283 ideals in 2000000 cliques
  258. Thu Jan 24 03:53:04 2019 commencing in-memory singleton removal
  259. Thu Jan 24 03:53:48 2019 begin with 140186738 relations and 129889640 unique ideals
  260. Thu Jan 24 04:02:00 2019 reduce to 139837606 relations and 123628031 ideals in 8 passes
  261. Thu Jan 24 04:02:00 2019 max relations containing the same ideal: 117
  262. Thu Jan 24 04:06:51 2019 removing 7866544 relations and 5866544 ideals in 2000000 cliques
  263. Thu Jan 24 04:07:03 2019 commencing in-memory singleton removal
  264. Thu Jan 24 04:07:44 2019 begin with 131971062 relations and 123628031 unique ideals
  265. Thu Jan 24 04:14:28 2019 reduce to 131606765 relations and 117392590 ideals in 7 passes
  266. Thu Jan 24 04:14:28 2019 max relations containing the same ideal: 111
  267. Thu Jan 24 04:19:02 2019 removing 7850362 relations and 5850362 ideals in 2000000 cliques
  268. Thu Jan 24 04:19:13 2019 commencing in-memory singleton removal
  269. Thu Jan 24 04:19:52 2019 begin with 123756403 relations and 117392590 unique ideals
  270. Thu Jan 24 04:26:57 2019 reduce to 123374822 relations and 111155456 ideals in 8 passes
  271. Thu Jan 24 04:26:57 2019 max relations containing the same ideal: 107
  272. Thu Jan 24 04:31:10 2019 removing 7851165 relations and 5851165 ideals in 2000000 cliques
  273. Thu Jan 24 04:31:18 2019 commencing in-memory singleton removal
  274. Thu Jan 24 04:31:35 2019 begin with 115523657 relations and 111155456 unique ideals
  275. Thu Jan 24 04:36:30 2019 reduce to 115119486 relations and 104894477 ideals in 7 passes
  276. Thu Jan 24 04:36:30 2019 max relations containing the same ideal: 99
  277. Thu Jan 24 04:40:32 2019 removing 7873314 relations and 5873314 ideals in 2000000 cliques
  278. Thu Jan 24 04:40:42 2019 commencing in-memory singleton removal
  279. Thu Jan 24 04:41:14 2019 begin with 107246172 relations and 104894477 unique ideals
  280. Thu Jan 24 04:47:09 2019 reduce to 106814043 relations and 98582543 ideals in 8 passes
  281. Thu Jan 24 04:47:09 2019 max relations containing the same ideal: 96
  282. Thu Jan 24 04:50:51 2019 removing 7910953 relations and 5910953 ideals in 2000000 cliques
  283. Thu Jan 24 04:51:01 2019 commencing in-memory singleton removal
  284. Thu Jan 24 04:51:31 2019 begin with 98903090 relations and 98582543 unique ideals
  285. Thu Jan 24 04:57:31 2019 reduce to 98434322 relations and 92195452 ideals in 9 passes
  286. Thu Jan 24 04:57:31 2019 max relations containing the same ideal: 91
  287. Thu Jan 24 05:00:39 2019 removing 7963980 relations and 5963980 ideals in 2000000 cliques
  288. Thu Jan 24 05:00:49 2019 commencing in-memory singleton removal
  289. Thu Jan 24 05:01:16 2019 begin with 90470342 relations and 92195452 unique ideals
  290. Thu Jan 24 05:06:11 2019 reduce to 89956668 relations and 85708847 ideals in 8 passes
  291. Thu Jan 24 05:06:11 2019 max relations containing the same ideal: 87
  292. Thu Jan 24 05:09:13 2019 removing 8043537 relations and 6043537 ideals in 2000000 cliques
  293. Thu Jan 24 05:09:22 2019 commencing in-memory singleton removal
  294. Thu Jan 24 05:09:41 2019 begin with 81913131 relations and 85708847 unique ideals
  295. Thu Jan 24 05:11:49 2019 reduce to 81338430 relations and 79079901 ideals in 9 passes
  296. Thu Jan 24 05:11:49 2019 max relations containing the same ideal: 84
  297. Thu Jan 24 05:13:07 2019 removing 790018 relations and 669814 ideals in 120204 cliques
  298. Thu Jan 24 05:13:09 2019 commencing in-memory singleton removal
  299. Thu Jan 24 05:13:20 2019 begin with 80548412 relations and 79079901 unique ideals
  300. Thu Jan 24 05:14:36 2019 reduce to 80543326 relations and 78404996 ideals in 6 passes
  301. Thu Jan 24 05:14:36 2019 max relations containing the same ideal: 83
  302. Thu Jan 24 05:15:05 2019 relations with 0 large ideals: 46765
  303. Thu Jan 24 05:15:05 2019 relations with 1 large ideals: 32782
  304. Thu Jan 24 05:15:05 2019 relations with 2 large ideals: 428291
  305. Thu Jan 24 05:15:05 2019 relations with 3 large ideals: 2608218
  306. Thu Jan 24 05:15:05 2019 relations with 4 large ideals: 8645751
  307. Thu Jan 24 05:15:05 2019 relations with 5 large ideals: 17221921
  308. Thu Jan 24 05:15:05 2019 relations with 6 large ideals: 21604125
  309. Thu Jan 24 05:15:05 2019 relations with 7+ large ideals: 29955473
  310. Thu Jan 24 05:15:05 2019 commencing 2-way merge
  311. Thu Jan 24 05:16:43 2019 reduce to 51384366 relation sets and 49246036 unique ideals
  312. Thu Jan 24 05:16:43 2019 commencing full merge
  313. Thu Jan 24 08:32:28 2019 memory use: 2289.4 MB
  314. Thu Jan 24 08:32:29 2019 found 126201 cycles, need 11264244
  315. Thu Jan 24 08:32:29 2019 too few cycles, matrix probably cannot build
  316. Thu Jan 24 08:32:34 2019
  317. Thu Jan 24 08:32:34 2019
  318. Thu Jan 24 08:32:34 2019 Msieve v. 1.53 (SVN 993)
  319. Thu Jan 24 08:32:34 2019 random seeds: 12248469 e303e62e
  320. Thu Jan 24 08:32:34 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  321. Thu Jan 24 08:32:38 2019 no P-1/P+1/ECM available, skipping
  322. Thu Jan 24 08:32:38 2019 commencing number field sieve (224-digit input)
  323. Thu Jan 24 08:32:38 2019 R0: -619220451666590135228675387863297874269396512
  324. Thu Jan 24 08:32:38 2019 R1: 1001919737325604309473206237898433933302481297
  325. Thu Jan 24 08:32:38 2019 A0: 4
  326. Thu Jan 24 08:32:38 2019 A1: 3
  327. Thu Jan 24 08:32:38 2019 A2: 30
  328. Thu Jan 24 08:32:38 2019 A3: -15
  329. Thu Jan 24 08:32:38 2019 A4: 45
  330. Thu Jan 24 08:32:38 2019 A5: -27
  331. Thu Jan 24 08:32:38 2019 A6: 6
  332. Thu Jan 24 08:32:38 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  333. Thu Jan 24 08:32:38 2019
  334. Thu Jan 24 08:32:38 2019 commencing relation filtering
  335. Thu Jan 24 08:32:38 2019 setting target matrix density to 102.0
  336. Thu Jan 24 08:32:38 2019 estimated available RAM is 95375.2 MB
  337. Thu Jan 24 08:32:38 2019 commencing duplicate removal, pass 1
  338. 8 errors
  339. Thu Jan 24 10:51:07 2019 skipped 1 relations with composite factors
  340. Thu Jan 24 10:51:07 2019 found 28084677 hash collisions in 366982090 relations
  341. Thu Jan 24 10:51:29 2019 commencing duplicate removal, pass 2
  342. Thu Jan 24 10:54:22 2019 found 1 duplicates and 366982089 unique relations
  343. Thu Jan 24 10:54:22 2019 memory use: 1321.5 MB
  344. Thu Jan 24 10:54:22 2019 reading ideals above 720000
  345. Thu Jan 24 10:54:22 2019 commencing singleton removal, initial pass
  346. Thu Jan 24 12:49:16 2019 memory use: 11024.0 MB
  347. Thu Jan 24 12:49:17 2019 reading all ideals from disk
  348. Thu Jan 24 12:49:33 2019 memory use: 15579.1 MB
  349. Thu Jan 24 12:51:23 2019 keeping 344182502 ideals with weight <= 200, target excess is 1843383
  350. Thu Jan 24 12:53:37 2019 commencing in-memory singleton removal
  351. Thu Jan 24 12:54:53 2019 begin with 366982089 relations and 344182502 unique ideals
  352. Thu Jan 24 13:16:06 2019 reduce to 236506587 relations and 200339007 ideals in 17 passes
  353. Thu Jan 24 13:16:06 2019 max relations containing the same ideal: 158
  354. Thu Jan 24 13:20:18 2019 removing 14248547 relations and 12248547 ideals in 2000000 cliques
  355. Thu Jan 24 13:20:30 2019 commencing in-memory singleton removal
  356. Thu Jan 24 13:21:08 2019 begin with 222258040 relations and 200339007 unique ideals
  357. Thu Jan 24 13:30:11 2019 reduce to 221547450 relations and 187371419 ideals in 9 passes
  358. Thu Jan 24 13:30:11 2019 max relations containing the same ideal: 153
  359. Thu Jan 24 13:34:37 2019 removing 10715674 relations and 8715674 ideals in 2000000 cliques
  360. Thu Jan 24 13:34:48 2019 commencing in-memory singleton removal
  361. Thu Jan 24 13:35:27 2019 begin with 210831776 relations and 187371419 unique ideals
  362. Thu Jan 24 13:42:10 2019 reduce to 210386060 relations and 178205638 ideals in 8 passes
  363. Thu Jan 24 13:42:10 2019 max relations containing the same ideal: 149
  364. Thu Jan 24 13:45:58 2019 removing 9615753 relations and 7615753 ideals in 2000000 cliques
  365. Thu Jan 24 13:46:08 2019 commencing in-memory singleton removal
  366. Thu Jan 24 13:46:39 2019 begin with 200770307 relations and 178205638 unique ideals
  367. Thu Jan 24 13:52:52 2019 reduce to 200391151 relations and 170206958 ideals in 8 passes
  368. Thu Jan 24 13:52:52 2019 max relations containing the same ideal: 143
  369. Thu Jan 24 13:56:40 2019 removing 9025030 relations and 7025030 ideals in 2000000 cliques
  370. Thu Jan 24 13:56:48 2019 commencing in-memory singleton removal
  371. Thu Jan 24 13:57:23 2019 begin with 191366121 relations and 170206958 unique ideals
  372. Thu Jan 24 14:04:54 2019 reduce to 191015460 relations and 162827917 ideals in 9 passes
  373. Thu Jan 24 14:04:54 2019 max relations containing the same ideal: 141
  374. Thu Jan 24 14:08:24 2019 removing 8643298 relations and 6643298 ideals in 2000000 cliques
  375. Thu Jan 24 14:08:32 2019 commencing in-memory singleton removal
  376. Thu Jan 24 14:09:00 2019 begin with 182372162 relations and 162827917 unique ideals
  377. Thu Jan 24 14:14:42 2019 reduce to 182035911 relations and 155845015 ideals in 8 passes
  378. Thu Jan 24 14:14:42 2019 max relations containing the same ideal: 135
  379. Thu Jan 24 14:18:12 2019 removing 8385227 relations and 6385227 ideals in 2000000 cliques
  380. Thu Jan 24 14:18:20 2019 commencing in-memory singleton removal
  381. Thu Jan 24 14:18:45 2019 begin with 173650684 relations and 155845015 unique ideals
  382. Thu Jan 24 14:22:39 2019 reduce to 173321305 relations and 149127106 ideals in 7 passes
  383. Thu Jan 24 14:22:39 2019 max relations containing the same ideal: 133
  384. Thu Jan 24 14:25:18 2019 removing 8195458 relations and 6195458 ideals in 2000000 cliques
  385. Thu Jan 24 14:25:26 2019 commencing in-memory singleton removal
  386. Thu Jan 24 14:25:47 2019 begin with 165125847 relations and 149127106 unique ideals
  387. Thu Jan 24 14:29:35 2019 reduce to 164798236 relations and 142600521 ideals in 8 passes
  388. Thu Jan 24 14:29:35 2019 max relations containing the same ideal: 128
  389. Thu Jan 24 14:32:05 2019 removing 8064787 relations and 6064787 ideals in 2000000 cliques
  390. Thu Jan 24 14:32:12 2019 commencing in-memory singleton removal
  391. Thu Jan 24 14:32:31 2019 begin with 156733449 relations and 142600521 unique ideals
  392. Thu Jan 24 14:35:34 2019 reduce to 156402000 relations and 136200587 ideals in 7 passes
  393. Thu Jan 24 14:35:34 2019 max relations containing the same ideal: 122
  394. Thu Jan 24 14:37:54 2019 removing 7968574 relations and 5968574 ideals in 2000000 cliques
  395. Thu Jan 24 14:38:00 2019 commencing in-memory singleton removal
  396. Thu Jan 24 14:38:19 2019 begin with 148433426 relations and 136200587 unique ideals
  397. Thu Jan 24 14:41:35 2019 reduce to 148095021 relations and 129889640 ideals in 8 passes
  398. Thu Jan 24 14:41:35 2019 max relations containing the same ideal: 120
  399. Thu Jan 24 14:43:39 2019 removing 7908283 relations and 5908283 ideals in 2000000 cliques
  400. Thu Jan 24 14:43:45 2019 commencing in-memory singleton removal
  401. Thu Jan 24 14:44:03 2019 begin with 140186738 relations and 129889640 unique ideals
  402. Thu Jan 24 14:47:07 2019 reduce to 139837606 relations and 123628031 ideals in 8 passes
  403. Thu Jan 24 14:47:07 2019 max relations containing the same ideal: 117
  404. Thu Jan 24 14:49:02 2019 removing 7866544 relations and 5866544 ideals in 2000000 cliques
  405. Thu Jan 24 14:49:08 2019 commencing in-memory singleton removal
  406. Thu Jan 24 14:49:24 2019 begin with 131971062 relations and 123628031 unique ideals
  407. Thu Jan 24 14:51:55 2019 reduce to 131606765 relations and 117392590 ideals in 7 passes
  408. Thu Jan 24 14:51:55 2019 max relations containing the same ideal: 111
  409. Thu Jan 24 14:53:58 2019 removing 7850362 relations and 5850362 ideals in 2000000 cliques
  410. Thu Jan 24 14:54:04 2019 commencing in-memory singleton removal
  411. Thu Jan 24 14:54:19 2019 begin with 123756403 relations and 117392590 unique ideals
  412. Thu Jan 24 14:56:59 2019 reduce to 123374822 relations and 111155456 ideals in 8 passes
  413. Thu Jan 24 14:56:59 2019 max relations containing the same ideal: 107
  414. Thu Jan 24 14:58:40 2019 removing 7851165 relations and 5851165 ideals in 2000000 cliques
  415. Thu Jan 24 14:58:46 2019 commencing in-memory singleton removal
  416. Thu Jan 24 14:59:01 2019 begin with 115523657 relations and 111155456 unique ideals
  417. Thu Jan 24 15:01:10 2019 reduce to 115119486 relations and 104894477 ideals in 7 passes
  418. Thu Jan 24 15:01:10 2019 max relations containing the same ideal: 99
  419. Thu Jan 24 15:02:45 2019 removing 7873314 relations and 5873314 ideals in 2000000 cliques
  420. Thu Jan 24 15:02:51 2019 commencing in-memory singleton removal
  421. Thu Jan 24 15:03:04 2019 begin with 107246172 relations and 104894477 unique ideals
  422. Thu Jan 24 15:05:20 2019 reduce to 106814043 relations and 98582543 ideals in 8 passes
  423. Thu Jan 24 15:05:20 2019 max relations containing the same ideal: 96
  424. Thu Jan 24 15:06:49 2019 removing 7910953 relations and 5910953 ideals in 2000000 cliques
  425. Thu Jan 24 15:06:54 2019 commencing in-memory singleton removal
  426. Thu Jan 24 15:07:06 2019 begin with 98903090 relations and 98582543 unique ideals
  427. Thu Jan 24 15:09:25 2019 reduce to 98434322 relations and 92195452 ideals in 9 passes
  428. Thu Jan 24 15:09:25 2019 max relations containing the same ideal: 91
  429. Thu Jan 24 15:10:47 2019 removing 7963980 relations and 5963980 ideals in 2000000 cliques
  430. Thu Jan 24 15:10:52 2019 commencing in-memory singleton removal
  431. Thu Jan 24 15:11:03 2019 begin with 90470342 relations and 92195452 unique ideals
  432. Thu Jan 24 15:12:55 2019 reduce to 89956668 relations and 85708847 ideals in 8 passes
  433. Thu Jan 24 15:12:55 2019 max relations containing the same ideal: 87
  434. Thu Jan 24 15:14:10 2019 removing 8043537 relations and 6043537 ideals in 2000000 cliques
  435. Thu Jan 24 15:14:15 2019 commencing in-memory singleton removal
  436. Thu Jan 24 15:14:24 2019 begin with 81913131 relations and 85708847 unique ideals
  437. Thu Jan 24 15:16:17 2019 reduce to 81338430 relations and 79079901 ideals in 9 passes
  438. Thu Jan 24 15:16:17 2019 max relations containing the same ideal: 84
  439. Thu Jan 24 15:17:25 2019 removing 790018 relations and 669814 ideals in 120204 cliques
  440. Thu Jan 24 15:17:28 2019 commencing in-memory singleton removal
  441. Thu Jan 24 15:17:37 2019 begin with 80548412 relations and 79079901 unique ideals
  442. Thu Jan 24 15:18:51 2019 reduce to 80543326 relations and 78404996 ideals in 6 passes
  443. Thu Jan 24 15:18:51 2019 max relations containing the same ideal: 83
  444. Thu Jan 24 15:19:17 2019 relations with 0 large ideals: 46765
  445. Thu Jan 24 15:19:17 2019 relations with 1 large ideals: 32782
  446. Thu Jan 24 15:19:17 2019 relations with 2 large ideals: 428291
  447. Thu Jan 24 15:19:17 2019 relations with 3 large ideals: 2608218
  448. Thu Jan 24 15:19:17 2019 relations with 4 large ideals: 8645751
  449. Thu Jan 24 15:19:17 2019 relations with 5 large ideals: 17221921
  450. Thu Jan 24 15:19:17 2019 relations with 6 large ideals: 21604125
  451. Thu Jan 24 15:19:17 2019 relations with 7+ large ideals: 29955473
  452. Thu Jan 24 15:19:17 2019 commencing 2-way merge
  453. Thu Jan 24 15:20:43 2019 reduce to 51384366 relation sets and 49246036 unique ideals
  454. Thu Jan 24 15:20:43 2019 commencing full merge
  455. Thu Jan 24 15:55:51 2019 memory use: 6348.1 MB
  456. Thu Jan 24 15:56:01 2019 found 24671247 cycles, need 24408236
  457. Thu Jan 24 15:56:17 2019 weight of 24408236 cycles is about 2489654345 (102.00/cycle)
  458. Thu Jan 24 15:56:18 2019 distribution of cycle lengths:
  459. Thu Jan 24 15:56:18 2019 1 relations: 2044512
  460. Thu Jan 24 15:56:18 2019 2 relations: 2145932
  461. Thu Jan 24 15:56:18 2019 3 relations: 2171509
  462. Thu Jan 24 15:56:18 2019 4 relations: 2096334
  463. Thu Jan 24 15:56:18 2019 5 relations: 2034043
  464. Thu Jan 24 15:56:18 2019 6 relations: 1908116
  465. Thu Jan 24 15:56:18 2019 7 relations: 1807091
  466. Thu Jan 24 15:56:18 2019 8 relations: 1663459
  467. Thu Jan 24 15:56:18 2019 9 relations: 1502574
  468. Thu Jan 24 15:56:18 2019 10+ relations: 7034666
  469. Thu Jan 24 15:56:18 2019 heaviest cycle: 26 relations
  470. Thu Jan 24 15:56:41 2019 commencing cycle optimization
  471. Thu Jan 24 15:58:01 2019 start with 175745362 relations
  472. Thu Jan 24 16:08:14 2019 pruned 6409510 relations
  473. Thu Jan 24 16:08:17 2019 memory use: 5115.7 MB
  474. Thu Jan 24 16:08:17 2019 distribution of cycle lengths:
  475. Thu Jan 24 16:08:17 2019 1 relations: 2044512
  476. Thu Jan 24 16:08:17 2019 2 relations: 2198480
  477. Thu Jan 24 16:08:17 2019 3 relations: 2260743
  478. Thu Jan 24 16:08:17 2019 4 relations: 2172289
  479. Thu Jan 24 16:08:17 2019 5 relations: 2117074
  480. Thu Jan 24 16:08:17 2019 6 relations: 1977522
  481. Thu Jan 24 16:08:17 2019 7 relations: 1871835
  482. Thu Jan 24 16:08:17 2019 8 relations: 1712828
  483. Thu Jan 24 16:08:17 2019 9 relations: 1538783
  484. Thu Jan 24 16:08:17 2019 10+ relations: 6514170
  485. Thu Jan 24 16:08:17 2019 heaviest cycle: 25 relations
  486. Thu Jan 24 16:09:38 2019 RelProcTime: 27420
  487. Thu Jan 24 16:09:38 2019 elapsed time 07:37:04
  488. Thu Jan 24 16:09:40 2019
  489. Thu Jan 24 16:09:40 2019
  490. Thu Jan 24 16:09:40 2019 Msieve v. 1.53 (SVN 993)
  491. Thu Jan 24 16:09:40 2019 random seeds: 9a64a881 9bc7f55a
  492. Thu Jan 24 16:09:40 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  493. Thu Jan 24 16:09:42 2019 no P-1/P+1/ECM available, skipping
  494. Thu Jan 24 16:09:42 2019 commencing number field sieve (224-digit input)
  495. Thu Jan 24 16:09:42 2019 R0: -619220451666590135228675387863297874269396512
  496. Thu Jan 24 16:09:42 2019 R1: 1001919737325604309473206237898433933302481297
  497. Thu Jan 24 16:09:42 2019 A0: 4
  498. Thu Jan 24 16:09:42 2019 A1: 3
  499. Thu Jan 24 16:09:42 2019 A2: 30
  500. Thu Jan 24 16:09:42 2019 A3: -15
  501. Thu Jan 24 16:09:42 2019 A4: 45
  502. Thu Jan 24 16:09:42 2019 A5: -27
  503. Thu Jan 24 16:09:42 2019 A6: 6
  504. Thu Jan 24 16:09:42 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  505. Thu Jan 24 16:09:42 2019
  506. Thu Jan 24 16:09:42 2019 commencing relation filtering
  507. Thu Jan 24 16:09:42 2019 setting target matrix density to 118.0
  508. Thu Jan 24 16:09:42 2019 estimated available RAM is 95375.2 MB
  509. Thu Jan 24 16:09:42 2019 commencing duplicate removal, pass 1
  510. 8 errors
  511. Thu Jan 24 17:40:13 2019 skipped 1 relations with composite factors
  512. Thu Jan 24 17:40:13 2019 found 28084677 hash collisions in 366982090 relations
  513. Thu Jan 24 17:40:36 2019 commencing duplicate removal, pass 2
  514. Thu Jan 24 17:43:30 2019 found 1 duplicates and 366982089 unique relations
  515. Thu Jan 24 17:43:30 2019 memory use: 1321.5 MB
  516. Thu Jan 24 17:43:31 2019 reading ideals above 720000
  517. Thu Jan 24 17:43:31 2019 commencing singleton removal, initial pass
  518. Thu Jan 24 19:38:49 2019 memory use: 11024.0 MB
  519. Thu Jan 24 19:38:50 2019 reading all ideals from disk
  520. Thu Jan 24 19:39:07 2019 memory use: 15579.1 MB
  521. Thu Jan 24 19:40:42 2019 keeping 344182502 ideals with weight <= 200, target excess is 1843383
  522. Thu Jan 24 19:42:55 2019 commencing in-memory singleton removal
  523. Thu Jan 24 19:44:12 2019 begin with 366982089 relations and 344182502 unique ideals
  524. Thu Jan 24 20:03:44 2019 reduce to 236506587 relations and 200339007 ideals in 17 passes
  525. Thu Jan 24 20:03:44 2019 max relations containing the same ideal: 158
  526. Thu Jan 24 20:08:07 2019 removing 14248547 relations and 12248547 ideals in 2000000 cliques
  527. Thu Jan 24 20:08:20 2019 commencing in-memory singleton removal
  528. Thu Jan 24 20:08:55 2019 begin with 222258040 relations and 200339007 unique ideals
  529. Thu Jan 24 20:16:39 2019 reduce to 221547450 relations and 187371419 ideals in 9 passes
  530. Thu Jan 24 20:16:39 2019 max relations containing the same ideal: 153
  531. Thu Jan 24 20:20:55 2019 removing 10715674 relations and 8715674 ideals in 2000000 cliques
  532. Thu Jan 24 20:21:07 2019 commencing in-memory singleton removal
  533. Thu Jan 24 20:21:39 2019 begin with 210831776 relations and 187371419 unique ideals
  534. Thu Jan 24 20:27:06 2019 reduce to 210386060 relations and 178205638 ideals in 8 passes
  535. Thu Jan 24 20:27:06 2019 max relations containing the same ideal: 149
  536. Thu Jan 24 20:30:50 2019 removing 9615753 relations and 7615753 ideals in 2000000 cliques
  537. Thu Jan 24 20:31:01 2019 commencing in-memory singleton removal
  538. Thu Jan 24 20:31:28 2019 begin with 200770307 relations and 178205638 unique ideals
  539. Thu Jan 24 20:36:37 2019 reduce to 200391151 relations and 170206958 ideals in 8 passes
  540. Thu Jan 24 20:36:37 2019 max relations containing the same ideal: 143
  541. Thu Jan 24 20:40:01 2019 removing 9025030 relations and 7025030 ideals in 2000000 cliques
  542. Thu Jan 24 20:40:10 2019 commencing in-memory singleton removal
  543. Thu Jan 24 20:40:34 2019 begin with 191366121 relations and 170206958 unique ideals
  544. Thu Jan 24 20:45:32 2019 reduce to 191015460 relations and 162827917 ideals in 9 passes
  545. Thu Jan 24 20:45:32 2019 max relations containing the same ideal: 141
  546. Thu Jan 24 20:48:17 2019 removing 8643298 relations and 6643298 ideals in 2000000 cliques
  547. Thu Jan 24 20:48:25 2019 commencing in-memory singleton removal
  548. Thu Jan 24 20:48:48 2019 begin with 182372162 relations and 162827917 unique ideals
  549. Thu Jan 24 20:52:57 2019 reduce to 182035911 relations and 155845015 ideals in 8 passes
  550. Thu Jan 24 20:52:57 2019 max relations containing the same ideal: 135
  551. Thu Jan 24 20:55:40 2019 removing 8385227 relations and 6385227 ideals in 2000000 cliques
  552. Thu Jan 24 20:55:47 2019 commencing in-memory singleton removal
  553. Thu Jan 24 20:56:10 2019 begin with 173650684 relations and 155845015 unique ideals
  554. Thu Jan 24 20:59:36 2019 reduce to 173321305 relations and 149127106 ideals in 7 passes
  555. Thu Jan 24 20:59:36 2019 max relations containing the same ideal: 133
  556. Thu Jan 24 21:02:08 2019 removing 8195458 relations and 6195458 ideals in 2000000 cliques
  557. Thu Jan 24 21:02:15 2019 commencing in-memory singleton removal
  558. Thu Jan 24 21:02:37 2019 begin with 165125847 relations and 149127106 unique ideals
  559. Thu Jan 24 21:06:19 2019 reduce to 164798236 relations and 142600521 ideals in 8 passes
  560. Thu Jan 24 21:06:19 2019 max relations containing the same ideal: 128
  561. Thu Jan 24 21:09:17 2019 removing 8064787 relations and 6064787 ideals in 2000000 cliques
  562. Thu Jan 24 21:09:25 2019 commencing in-memory singleton removal
  563. Thu Jan 24 21:09:46 2019 begin with 156733449 relations and 142600521 unique ideals
  564. Thu Jan 24 21:12:52 2019 reduce to 156402000 relations and 136200587 ideals in 7 passes
  565. Thu Jan 24 21:12:52 2019 max relations containing the same ideal: 122
  566. Thu Jan 24 21:15:00 2019 removing 7968574 relations and 5968574 ideals in 2000000 cliques
  567. Thu Jan 24 21:15:07 2019 commencing in-memory singleton removal
  568. Thu Jan 24 21:15:26 2019 begin with 148433426 relations and 136200587 unique ideals
  569. Thu Jan 24 21:18:41 2019 reduce to 148095021 relations and 129889640 ideals in 8 passes
  570. Thu Jan 24 21:18:41 2019 max relations containing the same ideal: 120
  571. Thu Jan 24 21:20:43 2019 removing 7908283 relations and 5908283 ideals in 2000000 cliques
  572. Thu Jan 24 21:20:49 2019 commencing in-memory singleton removal
  573. Thu Jan 24 21:21:07 2019 begin with 140186738 relations and 129889640 unique ideals
  574. Thu Jan 24 21:24:11 2019 reduce to 139837606 relations and 123628031 ideals in 8 passes
  575. Thu Jan 24 21:24:11 2019 max relations containing the same ideal: 117
  576. Thu Jan 24 21:26:07 2019 removing 7866544 relations and 5866544 ideals in 2000000 cliques
  577. Thu Jan 24 21:26:13 2019 commencing in-memory singleton removal
  578. Thu Jan 24 21:26:30 2019 begin with 131971062 relations and 123628031 unique ideals
  579. Thu Jan 24 21:29:00 2019 reduce to 131606765 relations and 117392590 ideals in 7 passes
  580. Thu Jan 24 21:29:00 2019 max relations containing the same ideal: 111
  581. Thu Jan 24 21:30:49 2019 removing 7850362 relations and 5850362 ideals in 2000000 cliques
  582. Thu Jan 24 21:30:55 2019 commencing in-memory singleton removal
  583. Thu Jan 24 21:31:11 2019 begin with 123756403 relations and 117392590 unique ideals
  584. Thu Jan 24 21:33:50 2019 reduce to 123374822 relations and 111155456 ideals in 8 passes
  585. Thu Jan 24 21:33:50 2019 max relations containing the same ideal: 107
  586. Thu Jan 24 21:35:33 2019 removing 7851165 relations and 5851165 ideals in 2000000 cliques
  587. Thu Jan 24 21:35:39 2019 commencing in-memory singleton removal
  588. Thu Jan 24 21:35:52 2019 begin with 115523657 relations and 111155456 unique ideals
  589. Thu Jan 24 21:38:03 2019 reduce to 115119486 relations and 104894477 ideals in 7 passes
  590. Thu Jan 24 21:38:03 2019 max relations containing the same ideal: 99
  591. Thu Jan 24 21:39:39 2019 removing 7873314 relations and 5873314 ideals in 2000000 cliques
  592. Thu Jan 24 21:39:44 2019 commencing in-memory singleton removal
  593. Thu Jan 24 21:39:57 2019 begin with 107246172 relations and 104894477 unique ideals
  594. Thu Jan 24 21:42:13 2019 reduce to 106814043 relations and 98582543 ideals in 8 passes
  595. Thu Jan 24 21:42:13 2019 max relations containing the same ideal: 96
  596. Thu Jan 24 21:43:44 2019 removing 7910953 relations and 5910953 ideals in 2000000 cliques
  597. Thu Jan 24 21:43:49 2019 commencing in-memory singleton removal
  598. Thu Jan 24 21:44:00 2019 begin with 98903090 relations and 98582543 unique ideals
  599. Thu Jan 24 21:46:20 2019 reduce to 98434322 relations and 92195452 ideals in 9 passes
  600. Thu Jan 24 21:46:20 2019 max relations containing the same ideal: 91
  601. Thu Jan 24 21:47:43 2019 removing 7963980 relations and 5963980 ideals in 2000000 cliques
  602. Thu Jan 24 21:47:48 2019 commencing in-memory singleton removal
  603. Thu Jan 24 21:48:00 2019 begin with 90470342 relations and 92195452 unique ideals
  604. Thu Jan 24 21:49:52 2019 reduce to 89956668 relations and 85708847 ideals in 8 passes
  605. Thu Jan 24 21:49:52 2019 max relations containing the same ideal: 87
  606. Thu Jan 24 21:51:10 2019 removing 8043537 relations and 6043537 ideals in 2000000 cliques
  607. Thu Jan 24 21:51:14 2019 commencing in-memory singleton removal
  608. Thu Jan 24 21:51:23 2019 begin with 81913131 relations and 85708847 unique ideals
  609. Thu Jan 24 21:53:16 2019 reduce to 81338430 relations and 79079901 ideals in 9 passes
  610. Thu Jan 24 21:53:16 2019 max relations containing the same ideal: 84
  611. Thu Jan 24 21:54:27 2019 removing 790018 relations and 669814 ideals in 120204 cliques
  612. Thu Jan 24 21:54:30 2019 commencing in-memory singleton removal
  613. Thu Jan 24 21:54:40 2019 begin with 80548412 relations and 79079901 unique ideals
  614. Thu Jan 24 21:55:54 2019 reduce to 80543326 relations and 78404996 ideals in 6 passes
  615. Thu Jan 24 21:55:54 2019 max relations containing the same ideal: 83
  616. Thu Jan 24 21:56:21 2019 relations with 0 large ideals: 46765
  617. Thu Jan 24 21:56:21 2019 relations with 1 large ideals: 32782
  618. Thu Jan 24 21:56:21 2019 relations with 2 large ideals: 428291
  619. Thu Jan 24 21:56:21 2019 relations with 3 large ideals: 2608218
  620. Thu Jan 24 21:56:21 2019 relations with 4 large ideals: 8645751
  621. Thu Jan 24 21:56:21 2019 relations with 5 large ideals: 17221921
  622. Thu Jan 24 21:56:21 2019 relations with 6 large ideals: 21604125
  623. Thu Jan 24 21:56:21 2019 relations with 7+ large ideals: 29955473
  624. Thu Jan 24 21:56:21 2019 commencing 2-way merge
  625. Thu Jan 24 21:57:49 2019 reduce to 51384366 relation sets and 49246036 unique ideals
  626. Thu Jan 24 21:57:49 2019 commencing full merge
  627. Thu Jan 24 22:35:01 2019 memory use: 6478.6 MB
  628. Thu Jan 24 22:35:10 2019 found 23468193 cycles, need 23298236
  629. Thu Jan 24 22:35:26 2019 weight of 23298236 cycles is about 2749619775 (118.02/cycle)
  630. Thu Jan 24 22:35:26 2019 distribution of cycle lengths:
  631. Thu Jan 24 22:35:26 2019 1 relations: 1519521
  632. Thu Jan 24 22:35:26 2019 2 relations: 1744052
  633. Thu Jan 24 22:35:26 2019 3 relations: 1813152
  634. Thu Jan 24 22:35:26 2019 4 relations: 1767562
  635. Thu Jan 24 22:35:26 2019 5 relations: 1732272
  636. Thu Jan 24 22:35:26 2019 6 relations: 1662644
  637. Thu Jan 24 22:35:26 2019 7 relations: 1592712
  638. Thu Jan 24 22:35:26 2019 8 relations: 1502497
  639. Thu Jan 24 22:35:26 2019 9 relations: 1410125
  640. Thu Jan 24 22:35:26 2019 10+ relations: 8553699
  641. Thu Jan 24 22:35:26 2019 heaviest cycle: 28 relations
  642. Thu Jan 24 22:35:45 2019 commencing cycle optimization
  643. Thu Jan 24 22:37:05 2019 start with 193797031 relations
  644. Thu Jan 24 22:49:35 2019 pruned 8157989 relations
  645. Thu Jan 24 22:49:35 2019 memory use: 5303.3 MB
  646. Thu Jan 24 22:49:35 2019 distribution of cycle lengths:
  647. Thu Jan 24 22:49:35 2019 1 relations: 1519521
  648. Thu Jan 24 22:49:35 2019 2 relations: 1788010
  649. Thu Jan 24 22:49:35 2019 3 relations: 1890137
  650. Thu Jan 24 22:49:35 2019 4 relations: 1837234
  651. Thu Jan 24 22:49:35 2019 5 relations: 1811534
  652. Thu Jan 24 22:49:35 2019 6 relations: 1731999
  653. Thu Jan 24 22:49:35 2019 7 relations: 1662391
  654. Thu Jan 24 22:49:35 2019 8 relations: 1562414
  655. Thu Jan 24 22:49:35 2019 9 relations: 1463014
  656. Thu Jan 24 22:49:35 2019 10+ relations: 8031982
  657. Thu Jan 24 22:49:35 2019 heaviest cycle: 28 relations
  658. Thu Jan 24 22:50:51 2019 RelProcTime: 24069
  659. Thu Jan 24 22:50:51 2019 elapsed time 06:41:11
  660. Thu Jan 24 22:50:52 2019
  661. Thu Jan 24 22:50:52 2019
  662. Thu Jan 24 22:50:52 2019 Msieve v. 1.53 (SVN 993)
  663. Thu Jan 24 22:50:52 2019 random seeds: a4ae7d18 9c2c7248
  664. Thu Jan 24 22:50:52 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  665. Thu Jan 24 22:50:55 2019 no P-1/P+1/ECM available, skipping
  666. Thu Jan 24 22:50:55 2019 commencing number field sieve (224-digit input)
  667. Thu Jan 24 22:50:55 2019 R0: -619220451666590135228675387863297874269396512
  668. Thu Jan 24 22:50:55 2019 R1: 1001919737325604309473206237898433933302481297
  669. Thu Jan 24 22:50:55 2019 A0: 4
  670. Thu Jan 24 22:50:55 2019 A1: 3
  671. Thu Jan 24 22:50:55 2019 A2: 30
  672. Thu Jan 24 22:50:55 2019 A3: -15
  673. Thu Jan 24 22:50:55 2019 A4: 45
  674. Thu Jan 24 22:50:55 2019 A5: -27
  675. Thu Jan 24 22:50:55 2019 A6: 6
  676. Thu Jan 24 22:50:55 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  677. Thu Jan 24 22:50:55 2019
  678. Thu Jan 24 22:50:55 2019 commencing relation filtering
  679. Thu Jan 24 22:50:55 2019 setting target matrix density to 126.0
  680. Thu Jan 24 22:50:55 2019 estimated available RAM is 95375.2 MB
  681. Thu Jan 24 22:50:55 2019 commencing duplicate removal, pass 1
  682. 8 errors
  683. Fri Jan 25 00:21:21 2019 skipped 1 relations with composite factors
  684. Fri Jan 25 00:21:21 2019 found 28084677 hash collisions in 366982090 relations
  685. Fri Jan 25 00:21:44 2019 commencing duplicate removal, pass 2
  686. Fri Jan 25 00:24:37 2019 found 1 duplicates and 366982089 unique relations
  687. Fri Jan 25 00:24:37 2019 memory use: 1321.5 MB
  688. Fri Jan 25 00:24:37 2019 reading ideals above 720000
  689. Fri Jan 25 00:24:38 2019 commencing singleton removal, initial pass
  690. Fri Jan 25 02:24:24 2019 memory use: 11024.0 MB
  691. Fri Jan 25 02:24:25 2019 reading all ideals from disk
  692. Fri Jan 25 02:24:41 2019 memory use: 15579.1 MB
  693. Fri Jan 25 02:26:24 2019 keeping 344182502 ideals with weight <= 200, target excess is 1843383
  694. Fri Jan 25 02:28:44 2019 commencing in-memory singleton removal
  695. Fri Jan 25 02:30:08 2019 begin with 366982089 relations and 344182502 unique ideals
  696. Fri Jan 25 02:52:36 2019 reduce to 236506587 relations and 200339007 ideals in 17 passes
  697. Fri Jan 25 02:52:36 2019 max relations containing the same ideal: 158
  698. Fri Jan 25 02:57:25 2019 removing 14248547 relations and 12248547 ideals in 2000000 cliques
  699. Fri Jan 25 02:57:39 2019 commencing in-memory singleton removal
  700. Fri Jan 25 02:58:26 2019 begin with 222258040 relations and 200339007 unique ideals
  701. Fri Jan 25 03:05:05 2019 reduce to 221547450 relations and 187371419 ideals in 9 passes
  702. Fri Jan 25 03:05:05 2019 max relations containing the same ideal: 153
  703. Fri Jan 25 03:08:37 2019 removing 10715674 relations and 8715674 ideals in 2000000 cliques
  704. Fri Jan 25 03:08:47 2019 commencing in-memory singleton removal
  705. Fri Jan 25 03:09:18 2019 begin with 210831776 relations and 187371419 unique ideals
  706. Fri Jan 25 03:15:29 2019 reduce to 210386060 relations and 178205638 ideals in 8 passes
  707. Fri Jan 25 03:15:29 2019 max relations containing the same ideal: 149
  708. Fri Jan 25 03:19:34 2019 removing 9615753 relations and 7615753 ideals in 2000000 cliques
  709. Fri Jan 25 03:19:42 2019 commencing in-memory singleton removal
  710. Fri Jan 25 03:20:13 2019 begin with 200770307 relations and 178205638 unique ideals
  711. Fri Jan 25 03:26:12 2019 reduce to 200391151 relations and 170206958 ideals in 8 passes
  712. Fri Jan 25 03:26:12 2019 max relations containing the same ideal: 143
  713. Fri Jan 25 03:29:52 2019 removing 9025030 relations and 7025030 ideals in 2000000 cliques
  714. Fri Jan 25 03:30:01 2019 commencing in-memory singleton removal
  715. Fri Jan 25 03:30:27 2019 begin with 191366121 relations and 170206958 unique ideals
  716. Fri Jan 25 03:36:02 2019 reduce to 191015460 relations and 162827917 ideals in 9 passes
  717. Fri Jan 25 03:36:02 2019 max relations containing the same ideal: 141
  718. Fri Jan 25 03:39:22 2019 removing 8643298 relations and 6643298 ideals in 2000000 cliques
  719. Fri Jan 25 03:39:31 2019 commencing in-memory singleton removal
  720. Fri Jan 25 03:39:58 2019 begin with 182372162 relations and 162827917 unique ideals
  721. Fri Jan 25 03:45:22 2019 reduce to 182035911 relations and 155845015 ideals in 8 passes
  722. Fri Jan 25 03:45:22 2019 max relations containing the same ideal: 135
  723. Fri Jan 25 03:48:39 2019 removing 8385227 relations and 6385227 ideals in 2000000 cliques
  724. Fri Jan 25 03:48:48 2019 commencing in-memory singleton removal
  725. Fri Jan 25 03:49:12 2019 begin with 173650684 relations and 155845015 unique ideals
  726. Fri Jan 25 03:52:41 2019 reduce to 173321305 relations and 149127106 ideals in 7 passes
  727. Fri Jan 25 03:52:41 2019 max relations containing the same ideal: 133
  728. Fri Jan 25 03:55:27 2019 removing 8195458 relations and 6195458 ideals in 2000000 cliques
  729. Fri Jan 25 03:55:34 2019 commencing in-memory singleton removal
  730. Fri Jan 25 03:55:55 2019 begin with 165125847 relations and 149127106 unique ideals
  731. Fri Jan 25 03:59:37 2019 reduce to 164798236 relations and 142600521 ideals in 8 passes
  732. Fri Jan 25 03:59:37 2019 max relations containing the same ideal: 128
  733. Fri Jan 25 04:02:25 2019 removing 8064787 relations and 6064787 ideals in 2000000 cliques
  734. Fri Jan 25 04:02:33 2019 commencing in-memory singleton removal
  735. Fri Jan 25 04:02:54 2019 begin with 156733449 relations and 142600521 unique ideals
  736. Fri Jan 25 04:05:57 2019 reduce to 156402000 relations and 136200587 ideals in 7 passes
  737. Fri Jan 25 04:05:57 2019 max relations containing the same ideal: 122
  738. Fri Jan 25 04:08:16 2019 removing 7968574 relations and 5968574 ideals in 2000000 cliques
  739. Fri Jan 25 04:08:22 2019 commencing in-memory singleton removal
  740. Fri Jan 25 04:08:41 2019 begin with 148433426 relations and 136200587 unique ideals
  741. Fri Jan 25 04:11:57 2019 reduce to 148095021 relations and 129889640 ideals in 8 passes
  742. Fri Jan 25 04:11:57 2019 max relations containing the same ideal: 120
  743. Fri Jan 25 04:14:06 2019 removing 7908283 relations and 5908283 ideals in 2000000 cliques
  744. Fri Jan 25 04:14:13 2019 commencing in-memory singleton removal
  745. Fri Jan 25 04:14:31 2019 begin with 140186738 relations and 129889640 unique ideals
  746. Fri Jan 25 04:17:34 2019 reduce to 139837606 relations and 123628031 ideals in 8 passes
  747. Fri Jan 25 04:17:34 2019 max relations containing the same ideal: 117
  748. Fri Jan 25 04:19:30 2019 removing 7866544 relations and 5866544 ideals in 2000000 cliques
  749. Fri Jan 25 04:19:36 2019 commencing in-memory singleton removal
  750. Fri Jan 25 04:19:53 2019 begin with 131971062 relations and 123628031 unique ideals
  751. Fri Jan 25 04:22:22 2019 reduce to 131606765 relations and 117392590 ideals in 7 passes
  752. Fri Jan 25 04:22:22 2019 max relations containing the same ideal: 111
  753. Fri Jan 25 04:24:12 2019 removing 7850362 relations and 5850362 ideals in 2000000 cliques
  754. Fri Jan 25 04:24:18 2019 commencing in-memory singleton removal
  755. Fri Jan 25 04:24:34 2019 begin with 123756403 relations and 117392590 unique ideals
  756. Fri Jan 25 04:27:13 2019 reduce to 123374822 relations and 111155456 ideals in 8 passes
  757. Fri Jan 25 04:27:13 2019 max relations containing the same ideal: 107
  758. Fri Jan 25 04:28:57 2019 removing 7851165 relations and 5851165 ideals in 2000000 cliques
  759. Fri Jan 25 04:29:03 2019 commencing in-memory singleton removal
  760. Fri Jan 25 04:29:20 2019 begin with 115523657 relations and 111155456 unique ideals
  761. Fri Jan 25 04:31:31 2019 reduce to 115119486 relations and 104894477 ideals in 7 passes
  762. Fri Jan 25 04:31:31 2019 max relations containing the same ideal: 99
  763. Fri Jan 25 04:33:08 2019 removing 7873314 relations and 5873314 ideals in 2000000 cliques
  764. Fri Jan 25 04:33:14 2019 commencing in-memory singleton removal
  765. Fri Jan 25 04:33:27 2019 begin with 107246172 relations and 104894477 unique ideals
  766. Fri Jan 25 04:35:43 2019 reduce to 106814043 relations and 98582543 ideals in 8 passes
  767. Fri Jan 25 04:35:43 2019 max relations containing the same ideal: 96
  768. Fri Jan 25 04:37:14 2019 removing 7910953 relations and 5910953 ideals in 2000000 cliques
  769. Fri Jan 25 04:37:19 2019 commencing in-memory singleton removal
  770. Fri Jan 25 04:37:31 2019 begin with 98903090 relations and 98582543 unique ideals
  771. Fri Jan 25 04:39:51 2019 reduce to 98434322 relations and 92195452 ideals in 9 passes
  772. Fri Jan 25 04:39:51 2019 max relations containing the same ideal: 91
  773. Fri Jan 25 04:41:27 2019 removing 7963980 relations and 5963980 ideals in 2000000 cliques
  774. Fri Jan 25 04:41:32 2019 commencing in-memory singleton removal
  775. Fri Jan 25 04:41:43 2019 begin with 90470342 relations and 92195452 unique ideals
  776. Fri Jan 25 04:43:35 2019 reduce to 89956668 relations and 85708847 ideals in 8 passes
  777. Fri Jan 25 04:43:35 2019 max relations containing the same ideal: 87
  778. Fri Jan 25 04:44:53 2019 removing 8043537 relations and 6043537 ideals in 2000000 cliques
  779. Fri Jan 25 04:44:58 2019 commencing in-memory singleton removal
  780. Fri Jan 25 04:45:08 2019 begin with 81913131 relations and 85708847 unique ideals
  781. Fri Jan 25 04:47:01 2019 reduce to 81338430 relations and 79079901 ideals in 9 passes
  782. Fri Jan 25 04:47:01 2019 max relations containing the same ideal: 84
  783. Fri Jan 25 04:48:12 2019 removing 790018 relations and 669814 ideals in 120204 cliques
  784. Fri Jan 25 04:48:15 2019 commencing in-memory singleton removal
  785. Fri Jan 25 04:48:25 2019 begin with 80548412 relations and 79079901 unique ideals
  786. Fri Jan 25 04:49:39 2019 reduce to 80543326 relations and 78404996 ideals in 6 passes
  787. Fri Jan 25 04:49:39 2019 max relations containing the same ideal: 83
  788. Fri Jan 25 04:50:06 2019 relations with 0 large ideals: 46765
  789. Fri Jan 25 04:50:06 2019 relations with 1 large ideals: 32782
  790. Fri Jan 25 04:50:06 2019 relations with 2 large ideals: 428291
  791. Fri Jan 25 04:50:06 2019 relations with 3 large ideals: 2608218
  792. Fri Jan 25 04:50:06 2019 relations with 4 large ideals: 8645751
  793. Fri Jan 25 04:50:06 2019 relations with 5 large ideals: 17221921
  794. Fri Jan 25 04:50:06 2019 relations with 6 large ideals: 21604125
  795. Fri Jan 25 04:50:06 2019 relations with 7+ large ideals: 29955473
  796. Fri Jan 25 04:50:06 2019 commencing 2-way merge
  797. Fri Jan 25 04:51:35 2019 reduce to 51384366 relation sets and 49246036 unique ideals
  798. Fri Jan 25 04:51:35 2019 commencing full merge
  799. Fri Jan 25 05:44:48 2019 memory use: 6518.5 MB
  800. Fri Jan 25 05:45:04 2019 found 22920734 cycles, need 22832236
  801. Fri Jan 25 05:45:22 2019 weight of 22832236 cycles is about 2877602822 (126.03/cycle)
  802. Fri Jan 25 05:45:23 2019 distribution of cycle lengths:
  803. Fri Jan 25 05:45:23 2019 1 relations: 1315722
  804. Fri Jan 25 05:45:23 2019 2 relations: 1590916
  805. Fri Jan 25 05:45:23 2019 3 relations: 1675799
  806. Fri Jan 25 05:45:23 2019 4 relations: 1633839
  807. Fri Jan 25 05:45:23 2019 5 relations: 1610933
  808. Fri Jan 25 05:45:23 2019 6 relations: 1551170
  809. Fri Jan 25 05:45:23 2019 7 relations: 1501543
  810. Fri Jan 25 05:45:23 2019 8 relations: 1424192
  811. Fri Jan 25 05:45:23 2019 9 relations: 1349576
  812. Fri Jan 25 05:45:23 2019 10+ relations: 9178546
  813. Fri Jan 25 05:45:23 2019 heaviest cycle: 28 relations
  814. Fri Jan 25 05:45:49 2019 commencing cycle optimization
  815. Fri Jan 25 05:47:39 2019 start with 202581893 relations
  816. Fri Jan 25 06:02:47 2019 pruned 9041653 relations
  817. Fri Jan 25 06:02:48 2019 memory use: 5393.2 MB
  818. Fri Jan 25 06:02:48 2019 distribution of cycle lengths:
  819. Fri Jan 25 06:02:48 2019 1 relations: 1315722
  820. Fri Jan 25 06:02:48 2019 2 relations: 1631383
  821. Fri Jan 25 06:02:48 2019 3 relations: 1747621
  822. Fri Jan 25 06:02:48 2019 4 relations: 1699889
  823. Fri Jan 25 06:02:48 2019 5 relations: 1687405
  824. Fri Jan 25 06:02:48 2019 6 relations: 1619740
  825. Fri Jan 25 06:02:48 2019 7 relations: 1571109
  826. Fri Jan 25 06:02:48 2019 8 relations: 1485807
  827. Fri Jan 25 06:02:48 2019 9 relations: 1407660
  828. Fri Jan 25 06:02:48 2019 10+ relations: 8665900
  829. Fri Jan 25 06:02:48 2019 heaviest cycle: 28 relations
  830. Fri Jan 25 06:04:09 2019 RelProcTime: 25994
  831. Fri Jan 25 06:04:09 2019 elapsed time 07:13:17
  832. Fri Jan 25 06:04:11 2019
  833. Fri Jan 25 06:04:11 2019
  834. Fri Jan 25 06:04:11 2019 Msieve v. 1.53 (SVN 993)
  835. Fri Jan 25 06:04:11 2019 random seeds: bdd3e930 e68d505a
  836. Fri Jan 25 06:04:11 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  837. Fri Jan 25 06:04:13 2019 no P-1/P+1/ECM available, skipping
  838. Fri Jan 25 06:04:13 2019 commencing number field sieve (224-digit input)
  839. Fri Jan 25 06:04:13 2019 R0: -619220451666590135228675387863297874269396512
  840. Fri Jan 25 06:04:13 2019 R1: 1001919737325604309473206237898433933302481297
  841. Fri Jan 25 06:04:13 2019 A0: 4
  842. Fri Jan 25 06:04:13 2019 A1: 3
  843. Fri Jan 25 06:04:13 2019 A2: 30
  844. Fri Jan 25 06:04:13 2019 A3: -15
  845. Fri Jan 25 06:04:13 2019 A4: 45
  846. Fri Jan 25 06:04:13 2019 A5: -27
  847. Fri Jan 25 06:04:13 2019 A6: 6
  848. Fri Jan 25 06:04:13 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  849. Fri Jan 25 06:04:13 2019
  850. Fri Jan 25 06:04:13 2019 commencing relation filtering
  851. Fri Jan 25 06:04:13 2019 setting target matrix density to 130.0
  852. Fri Jan 25 06:04:13 2019 estimated available RAM is 95375.2 MB
  853. Fri Jan 25 06:04:13 2019 commencing duplicate removal, pass 1
  854. 8 errors
  855. Fri Jan 25 07:34:38 2019 skipped 1 relations with composite factors
  856. Fri Jan 25 07:34:38 2019 found 28084677 hash collisions in 366982090 relations
  857. Fri Jan 25 07:34:59 2019 commencing duplicate removal, pass 2
  858. Fri Jan 25 07:37:53 2019 found 1 duplicates and 366982089 unique relations
  859. Fri Jan 25 07:37:53 2019 memory use: 1321.5 MB
  860. Fri Jan 25 07:37:53 2019 reading ideals above 720000
  861. Fri Jan 25 07:37:53 2019 commencing singleton removal, initial pass
  862. Fri Jan 25 09:36:16 2019 memory use: 11024.0 MB
  863. Fri Jan 25 09:36:17 2019 reading all ideals from disk
  864. Fri Jan 25 09:36:34 2019 memory use: 15579.1 MB
  865. Fri Jan 25 09:38:16 2019 keeping 344182502 ideals with weight <= 200, target excess is 1843383
  866. Fri Jan 25 09:40:31 2019 commencing in-memory singleton removal
  867. Fri Jan 25 09:41:46 2019 begin with 366982089 relations and 344182502 unique ideals
  868. Fri Jan 25 10:02:52 2019 reduce to 236506587 relations and 200339007 ideals in 17 passes
  869. Fri Jan 25 10:02:52 2019 max relations containing the same ideal: 158
  870. Fri Jan 25 10:08:02 2019 removing 14248547 relations and 12248547 ideals in 2000000 cliques
  871. Fri Jan 25 10:08:16 2019 commencing in-memory singleton removal
  872. Fri Jan 25 10:08:50 2019 begin with 222258040 relations and 200339007 unique ideals
  873. Fri Jan 25 10:17:42 2019 reduce to 221547450 relations and 187371419 ideals in 9 passes
  874. Fri Jan 25 10:17:42 2019 max relations containing the same ideal: 153
  875. Fri Jan 25 10:22:32 2019 removing 10715674 relations and 8715674 ideals in 2000000 cliques
  876. Fri Jan 25 10:22:44 2019 commencing in-memory singleton removal
  877. Fri Jan 25 10:23:21 2019 begin with 210831776 relations and 187371419 unique ideals
  878. Fri Jan 25 10:29:39 2019 reduce to 210386060 relations and 178205638 ideals in 8 passes
  879. Fri Jan 25 10:29:39 2019 max relations containing the same ideal: 149
  880. Fri Jan 25 10:33:22 2019 removing 9615753 relations and 7615753 ideals in 2000000 cliques
  881. Fri Jan 25 10:33:33 2019 commencing in-memory singleton removal
  882. Fri Jan 25 10:34:03 2019 begin with 200770307 relations and 178205638 unique ideals
  883. Fri Jan 25 10:39:25 2019 reduce to 200391151 relations and 170206958 ideals in 8 passes
  884. Fri Jan 25 10:39:25 2019 max relations containing the same ideal: 143
  885. Fri Jan 25 10:42:51 2019 removing 9025030 relations and 7025030 ideals in 2000000 cliques
  886. Fri Jan 25 10:42:59 2019 commencing in-memory singleton removal
  887. Fri Jan 25 10:43:23 2019 begin with 191366121 relations and 170206958 unique ideals
  888. Fri Jan 25 10:48:18 2019 reduce to 191015460 relations and 162827917 ideals in 9 passes
  889. Fri Jan 25 10:48:18 2019 max relations containing the same ideal: 141
  890. Fri Jan 25 10:51:46 2019 removing 8643298 relations and 6643298 ideals in 2000000 cliques
  891. Fri Jan 25 10:51:56 2019 commencing in-memory singleton removal
  892. Fri Jan 25 10:52:32 2019 begin with 182372162 relations and 162827917 unique ideals
  893. Fri Jan 25 10:57:55 2019 reduce to 182035911 relations and 155845015 ideals in 8 passes
  894. Fri Jan 25 10:57:55 2019 max relations containing the same ideal: 135
  895. Fri Jan 25 11:01:01 2019 removing 8385227 relations and 6385227 ideals in 2000000 cliques
  896. Fri Jan 25 11:01:09 2019 commencing in-memory singleton removal
  897. Fri Jan 25 11:01:32 2019 begin with 173650684 relations and 155845015 unique ideals
  898. Fri Jan 25 11:05:21 2019 reduce to 173321305 relations and 149127106 ideals in 7 passes
  899. Fri Jan 25 11:05:21 2019 max relations containing the same ideal: 133
  900. Fri Jan 25 11:08:22 2019 removing 8195458 relations and 6195458 ideals in 2000000 cliques
  901. Fri Jan 25 11:08:31 2019 commencing in-memory singleton removal
  902. Fri Jan 25 11:08:53 2019 begin with 165125847 relations and 149127106 unique ideals
  903. Fri Jan 25 11:12:35 2019 reduce to 164798236 relations and 142600521 ideals in 8 passes
  904. Fri Jan 25 11:12:35 2019 max relations containing the same ideal: 128
  905. Fri Jan 25 11:14:49 2019 removing 8064787 relations and 6064787 ideals in 2000000 cliques
  906. Fri Jan 25 11:14:56 2019 commencing in-memory singleton removal
  907. Fri Jan 25 11:15:16 2019 begin with 156733449 relations and 142600521 unique ideals
  908. Fri Jan 25 11:18:18 2019 reduce to 156402000 relations and 136200587 ideals in 7 passes
  909. Fri Jan 25 11:18:18 2019 max relations containing the same ideal: 122
  910. Fri Jan 25 11:20:49 2019 removing 7968574 relations and 5968574 ideals in 2000000 cliques
  911. Fri Jan 25 11:20:56 2019 commencing in-memory singleton removal
  912. Fri Jan 25 11:21:14 2019 begin with 148433426 relations and 136200587 unique ideals
  913. Fri Jan 25 11:24:32 2019 reduce to 148095021 relations and 129889640 ideals in 8 passes
  914. Fri Jan 25 11:24:32 2019 max relations containing the same ideal: 120
  915. Fri Jan 25 11:26:42 2019 removing 7908283 relations and 5908283 ideals in 2000000 cliques
  916. Fri Jan 25 11:26:48 2019 commencing in-memory singleton removal
  917. Fri Jan 25 11:27:05 2019 begin with 140186738 relations and 129889640 unique ideals
  918. Fri Jan 25 11:30:10 2019 reduce to 139837606 relations and 123628031 ideals in 8 passes
  919. Fri Jan 25 11:30:10 2019 max relations containing the same ideal: 117
  920. Fri Jan 25 11:32:07 2019 removing 7866544 relations and 5866544 ideals in 2000000 cliques
  921. Fri Jan 25 11:32:13 2019 commencing in-memory singleton removal
  922. Fri Jan 25 11:32:30 2019 begin with 131971062 relations and 123628031 unique ideals
  923. Fri Jan 25 11:34:59 2019 reduce to 131606765 relations and 117392590 ideals in 7 passes
  924. Fri Jan 25 11:34:59 2019 max relations containing the same ideal: 111
  925. Fri Jan 25 11:36:49 2019 removing 7850362 relations and 5850362 ideals in 2000000 cliques
  926. Fri Jan 25 11:36:55 2019 commencing in-memory singleton removal
  927. Fri Jan 25 11:37:10 2019 begin with 123756403 relations and 117392590 unique ideals
  928. Fri Jan 25 11:39:50 2019 reduce to 123374822 relations and 111155456 ideals in 8 passes
  929. Fri Jan 25 11:39:50 2019 max relations containing the same ideal: 107
  930. Fri Jan 25 11:41:32 2019 removing 7851165 relations and 5851165 ideals in 2000000 cliques
  931. Fri Jan 25 11:41:37 2019 commencing in-memory singleton removal
  932. Fri Jan 25 11:41:52 2019 begin with 115523657 relations and 111155456 unique ideals
  933. Fri Jan 25 11:44:01 2019 reduce to 115119486 relations and 104894477 ideals in 7 passes
  934. Fri Jan 25 11:44:01 2019 max relations containing the same ideal: 99
  935. Fri Jan 25 11:45:37 2019 removing 7873314 relations and 5873314 ideals in 2000000 cliques
  936. Fri Jan 25 11:45:43 2019 commencing in-memory singleton removal
  937. Fri Jan 25 11:45:56 2019 begin with 107246172 relations and 104894477 unique ideals
  938. Fri Jan 25 11:48:12 2019 reduce to 106814043 relations and 98582543 ideals in 8 passes
  939. Fri Jan 25 11:48:12 2019 max relations containing the same ideal: 96
  940. Fri Jan 25 11:49:41 2019 removing 7910953 relations and 5910953 ideals in 2000000 cliques
  941. Fri Jan 25 11:49:46 2019 commencing in-memory singleton removal
  942. Fri Jan 25 11:49:58 2019 begin with 98903090 relations and 98582543 unique ideals
  943. Fri Jan 25 11:52:17 2019 reduce to 98434322 relations and 92195452 ideals in 9 passes
  944. Fri Jan 25 11:52:17 2019 max relations containing the same ideal: 91
  945. Fri Jan 25 11:53:39 2019 removing 7963980 relations and 5963980 ideals in 2000000 cliques
  946. Fri Jan 25 11:53:44 2019 commencing in-memory singleton removal
  947. Fri Jan 25 11:53:55 2019 begin with 90470342 relations and 92195452 unique ideals
  948. Fri Jan 25 11:55:47 2019 reduce to 89956668 relations and 85708847 ideals in 8 passes
  949. Fri Jan 25 11:55:47 2019 max relations containing the same ideal: 87
  950. Fri Jan 25 11:57:02 2019 removing 8043537 relations and 6043537 ideals in 2000000 cliques
  951. Fri Jan 25 11:57:06 2019 commencing in-memory singleton removal
  952. Fri Jan 25 11:57:16 2019 begin with 81913131 relations and 85708847 unique ideals
  953. Fri Jan 25 11:59:09 2019 reduce to 81338430 relations and 79079901 ideals in 9 passes
  954. Fri Jan 25 11:59:09 2019 max relations containing the same ideal: 84
  955. Fri Jan 25 12:00:17 2019 removing 790018 relations and 669814 ideals in 120204 cliques
  956. Fri Jan 25 12:00:20 2019 commencing in-memory singleton removal
  957. Fri Jan 25 12:00:29 2019 begin with 80548412 relations and 79079901 unique ideals
  958. Fri Jan 25 12:01:43 2019 reduce to 80543326 relations and 78404996 ideals in 6 passes
  959. Fri Jan 25 12:01:43 2019 max relations containing the same ideal: 83
  960. Fri Jan 25 12:02:10 2019 relations with 0 large ideals: 46765
  961. Fri Jan 25 12:02:10 2019 relations with 1 large ideals: 32782
  962. Fri Jan 25 12:02:10 2019 relations with 2 large ideals: 428291
  963. Fri Jan 25 12:02:10 2019 relations with 3 large ideals: 2608218
  964. Fri Jan 25 12:02:10 2019 relations with 4 large ideals: 8645751
  965. Fri Jan 25 12:02:10 2019 relations with 5 large ideals: 17221921
  966. Fri Jan 25 12:02:10 2019 relations with 6 large ideals: 21604125
  967. Fri Jan 25 12:02:10 2019 relations with 7+ large ideals: 29955473
  968. Fri Jan 25 12:02:10 2019 commencing 2-way merge
  969. Fri Jan 25 12:03:38 2019 reduce to 51384366 relation sets and 49246036 unique ideals
  970. Fri Jan 25 12:03:38 2019 commencing full merge
  971. Fri Jan 25 13:09:08 2019 memory use: 6532.8 MB
  972. Fri Jan 25 13:09:24 2019 found 22657955 cycles, need 22618236
  973. Fri Jan 25 13:09:43 2019 weight of 22618236 cycles is about 2940894572 (130.02/cycle)
  974. Fri Jan 25 13:09:44 2019 distribution of cycle lengths:
  975. Fri Jan 25 13:09:44 2019 1 relations: 1227545
  976. Fri Jan 25 13:09:44 2019 2 relations: 1517711
  977. Fri Jan 25 13:09:44 2019 3 relations: 1609564
  978. Fri Jan 25 13:09:44 2019 4 relations: 1578188
  979. Fri Jan 25 13:09:44 2019 5 relations: 1550992
  980. Fri Jan 25 13:09:44 2019 6 relations: 1505396
  981. Fri Jan 25 13:09:44 2019 7 relations: 1458104
  982. Fri Jan 25 13:09:44 2019 8 relations: 1390939
  983. Fri Jan 25 13:09:44 2019 9 relations: 1318700
  984. Fri Jan 25 13:09:44 2019 10+ relations: 9461097
  985. Fri Jan 25 13:09:44 2019 heaviest cycle: 28 relations
  986. Fri Jan 25 13:10:03 2019 commencing cycle optimization
  987. Fri Jan 25 13:11:36 2019 start with 206880980 relations
  988. Fri Jan 25 13:27:50 2019 pruned 9483005 relations
  989. Fri Jan 25 13:27:50 2019 memory use: 5436.9 MB
  990. Fri Jan 25 13:27:51 2019 distribution of cycle lengths:
  991. Fri Jan 25 13:27:51 2019 1 relations: 1227545
  992. Fri Jan 25 13:27:51 2019 2 relations: 1556520
  993. Fri Jan 25 13:27:51 2019 3 relations: 1679131
  994. Fri Jan 25 13:27:51 2019 4 relations: 1642514
  995. Fri Jan 25 13:27:51 2019 5 relations: 1626307
  996. Fri Jan 25 13:27:51 2019 6 relations: 1573413
  997. Fri Jan 25 13:27:51 2019 7 relations: 1527691
  998. Fri Jan 25 13:27:51 2019 8 relations: 1452402
  999. Fri Jan 25 13:27:51 2019 9 relations: 1379055
  1000. Fri Jan 25 13:27:51 2019 10+ relations: 8953658
  1001. Fri Jan 25 13:27:51 2019 heaviest cycle: 28 relations
  1002. Fri Jan 25 13:29:13 2019 RelProcTime: 26700
  1003. Fri Jan 25 13:29:13 2019 elapsed time 07:25:02
  1004. Fri Jan 25 13:29:15 2019
  1005. Fri Jan 25 13:29:15 2019
  1006. Fri Jan 25 13:29:15 2019 Msieve v. 1.53 (SVN 993)
  1007. Fri Jan 25 13:29:15 2019 random seeds: 5e445984 b257ac70
  1008. Fri Jan 25 13:29:15 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  1009. Fri Jan 25 13:29:17 2019 no P-1/P+1/ECM available, skipping
  1010. Fri Jan 25 13:29:17 2019 commencing number field sieve (224-digit input)
  1011. Fri Jan 25 13:29:17 2019 R0: -619220451666590135228675387863297874269396512
  1012. Fri Jan 25 13:29:17 2019 R1: 1001919737325604309473206237898433933302481297
  1013. Fri Jan 25 13:29:17 2019 A0: 4
  1014. Fri Jan 25 13:29:17 2019 A1: 3
  1015. Fri Jan 25 13:29:17 2019 A2: 30
  1016. Fri Jan 25 13:29:17 2019 A3: -15
  1017. Fri Jan 25 13:29:17 2019 A4: 45
  1018. Fri Jan 25 13:29:17 2019 A5: -27
  1019. Fri Jan 25 13:29:17 2019 A6: 6
  1020. Fri Jan 25 13:29:17 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  1021. Fri Jan 25 13:29:17 2019
  1022. Fri Jan 25 13:29:17 2019 commencing relation filtering
  1023. Fri Jan 25 13:29:17 2019 setting target matrix density to 132.0
  1024. Fri Jan 25 13:29:17 2019 estimated available RAM is 95375.2 MB
  1025. Fri Jan 25 13:29:17 2019 commencing duplicate removal, pass 1
  1026. 8 errors
  1027. Fri Jan 25 14:59:58 2019 skipped 1 relations with composite factors
  1028. Fri Jan 25 14:59:58 2019 found 28084677 hash collisions in 366982090 relations
  1029. Fri Jan 25 15:00:19 2019 commencing duplicate removal, pass 2
  1030. Fri Jan 25 15:03:16 2019 found 1 duplicates and 366982089 unique relations
  1031. Fri Jan 25 15:03:16 2019 memory use: 1321.5 MB
  1032. Fri Jan 25 15:03:16 2019 reading ideals above 720000
  1033. Fri Jan 25 15:03:16 2019 commencing singleton removal, initial pass
  1034. Fri Jan 25 17:00:13 2019 memory use: 11024.0 MB
  1035. Fri Jan 25 17:00:13 2019 reading all ideals from disk
  1036. Fri Jan 25 17:00:29 2019 memory use: 15579.1 MB
  1037. Fri Jan 25 17:02:03 2019 keeping 344182502 ideals with weight <= 200, target excess is 1843383
  1038. Fri Jan 25 17:04:05 2019 commencing in-memory singleton removal
  1039. Fri Jan 25 17:05:13 2019 begin with 366982089 relations and 344182502 unique ideals
  1040. Fri Jan 25 17:20:00 2019 reduce to 236506587 relations and 200339007 ideals in 17 passes
  1041. Fri Jan 25 17:20:00 2019 max relations containing the same ideal: 158
  1042. Fri Jan 25 17:23:18 2019 removing 14248547 relations and 12248547 ideals in 2000000 cliques
  1043. Fri Jan 25 17:23:28 2019 commencing in-memory singleton removal
  1044. Fri Jan 25 17:23:59 2019 begin with 222258040 relations and 200339007 unique ideals
  1045. Fri Jan 25 17:29:57 2019 reduce to 221547450 relations and 187371419 ideals in 9 passes
  1046. Fri Jan 25 17:29:57 2019 max relations containing the same ideal: 153
  1047. Fri Jan 25 17:32:56 2019 removing 10715674 relations and 8715674 ideals in 2000000 cliques
  1048. Fri Jan 25 17:33:05 2019 commencing in-memory singleton removal
  1049. Fri Jan 25 17:33:34 2019 begin with 210831776 relations and 187371419 unique ideals
  1050. Fri Jan 25 17:38:32 2019 reduce to 210386060 relations and 178205638 ideals in 8 passes
  1051. Fri Jan 25 17:38:32 2019 max relations containing the same ideal: 149
  1052. Fri Jan 25 17:41:19 2019 removing 9615753 relations and 7615753 ideals in 2000000 cliques
  1053. Fri Jan 25 17:41:27 2019 commencing in-memory singleton removal
  1054. Fri Jan 25 17:41:54 2019 begin with 200770307 relations and 178205638 unique ideals
  1055. Fri Jan 25 17:46:34 2019 reduce to 200391151 relations and 170206958 ideals in 8 passes
  1056. Fri Jan 25 17:46:34 2019 max relations containing the same ideal: 143
  1057. Fri Jan 25 17:49:13 2019 removing 9025030 relations and 7025030 ideals in 2000000 cliques
  1058. Fri Jan 25 17:49:21 2019 commencing in-memory singleton removal
  1059. Fri Jan 25 17:49:46 2019 begin with 191366121 relations and 170206958 unique ideals
  1060. Fri Jan 25 17:54:46 2019 reduce to 191015460 relations and 162827917 ideals in 9 passes
  1061. Fri Jan 25 17:54:46 2019 max relations containing the same ideal: 141
  1062. Fri Jan 25 17:57:20 2019 removing 8643298 relations and 6643298 ideals in 2000000 cliques
  1063. Fri Jan 25 17:57:27 2019 commencing in-memory singleton removal
  1064. Fri Jan 25 17:57:51 2019 begin with 182372162 relations and 162827917 unique ideals
  1065. Fri Jan 25 18:02:02 2019 reduce to 182035911 relations and 155845015 ideals in 8 passes
  1066. Fri Jan 25 18:02:02 2019 max relations containing the same ideal: 135
  1067. Fri Jan 25 18:04:29 2019 removing 8385227 relations and 6385227 ideals in 2000000 cliques
  1068. Fri Jan 25 18:04:36 2019 commencing in-memory singleton removal
  1069. Fri Jan 25 18:04:58 2019 begin with 173650684 relations and 155845015 unique ideals
  1070. Fri Jan 25 18:08:27 2019 reduce to 173321305 relations and 149127106 ideals in 7 passes
  1071. Fri Jan 25 18:08:27 2019 max relations containing the same ideal: 133
  1072. Fri Jan 25 18:10:46 2019 removing 8195458 relations and 6195458 ideals in 2000000 cliques
  1073. Fri Jan 25 18:10:53 2019 commencing in-memory singleton removal
  1074. Fri Jan 25 18:11:15 2019 begin with 165125847 relations and 149127106 unique ideals
  1075. Fri Jan 25 18:15:00 2019 reduce to 164798236 relations and 142600521 ideals in 8 passes
  1076. Fri Jan 25 18:15:00 2019 max relations containing the same ideal: 128
  1077. Fri Jan 25 18:17:14 2019 removing 8064787 relations and 6064787 ideals in 2000000 cliques
  1078. Fri Jan 25 18:17:21 2019 commencing in-memory singleton removal
  1079. Fri Jan 25 18:17:41 2019 begin with 156733449 relations and 142600521 unique ideals
  1080. Fri Jan 25 18:20:46 2019 reduce to 156402000 relations and 136200587 ideals in 7 passes
  1081. Fri Jan 25 18:20:46 2019 max relations containing the same ideal: 122
  1082. Fri Jan 25 18:22:53 2019 removing 7968574 relations and 5968574 ideals in 2000000 cliques
  1083. Fri Jan 25 18:23:00 2019 commencing in-memory singleton removal
  1084. Fri Jan 25 18:23:19 2019 begin with 148433426 relations and 136200587 unique ideals
  1085. Fri Jan 25 18:26:38 2019 reduce to 148095021 relations and 129889640 ideals in 8 passes
  1086. Fri Jan 25 18:26:38 2019 max relations containing the same ideal: 120
  1087. Fri Jan 25 18:28:38 2019 removing 7908283 relations and 5908283 ideals in 2000000 cliques
  1088. Fri Jan 25 18:28:44 2019 commencing in-memory singleton removal
  1089. Fri Jan 25 18:29:01 2019 begin with 140186738 relations and 129889640 unique ideals
  1090. Fri Jan 25 18:32:07 2019 reduce to 139837606 relations and 123628031 ideals in 8 passes
  1091. Fri Jan 25 18:32:07 2019 max relations containing the same ideal: 117
  1092. Fri Jan 25 18:34:01 2019 removing 7866544 relations and 5866544 ideals in 2000000 cliques
  1093. Fri Jan 25 18:34:07 2019 commencing in-memory singleton removal
  1094. Fri Jan 25 18:34:24 2019 begin with 131971062 relations and 123628031 unique ideals
  1095. Fri Jan 25 18:36:56 2019 reduce to 131606765 relations and 117392590 ideals in 7 passes
  1096. Fri Jan 25 18:36:56 2019 max relations containing the same ideal: 111
  1097. Fri Jan 25 18:38:43 2019 removing 7850362 relations and 5850362 ideals in 2000000 cliques
  1098. Fri Jan 25 18:38:49 2019 commencing in-memory singleton removal
  1099. Fri Jan 25 18:39:04 2019 begin with 123756403 relations and 117392590 unique ideals
  1100. Fri Jan 25 18:41:45 2019 reduce to 123374822 relations and 111155456 ideals in 8 passes
  1101. Fri Jan 25 18:41:45 2019 max relations containing the same ideal: 107
  1102. Fri Jan 25 18:43:26 2019 removing 7851165 relations and 5851165 ideals in 2000000 cliques
  1103. Fri Jan 25 18:43:32 2019 commencing in-memory singleton removal
  1104. Fri Jan 25 18:43:46 2019 begin with 115523657 relations and 111155456 unique ideals
  1105. Fri Jan 25 18:45:56 2019 reduce to 115119486 relations and 104894477 ideals in 7 passes
  1106. Fri Jan 25 18:45:56 2019 max relations containing the same ideal: 99
  1107. Fri Jan 25 18:47:32 2019 removing 7873314 relations and 5873314 ideals in 2000000 cliques
  1108. Fri Jan 25 18:47:37 2019 commencing in-memory singleton removal
  1109. Fri Jan 25 18:47:50 2019 begin with 107246172 relations and 104894477 unique ideals
  1110. Fri Jan 25 18:50:07 2019 reduce to 106814043 relations and 98582543 ideals in 8 passes
  1111. Fri Jan 25 18:50:07 2019 max relations containing the same ideal: 96
  1112. Fri Jan 25 18:51:35 2019 removing 7910953 relations and 5910953 ideals in 2000000 cliques
  1113. Fri Jan 25 18:51:40 2019 commencing in-memory singleton removal
  1114. Fri Jan 25 18:51:52 2019 begin with 98903090 relations and 98582543 unique ideals
  1115. Fri Jan 25 18:54:12 2019 reduce to 98434322 relations and 92195452 ideals in 9 passes
  1116. Fri Jan 25 18:54:12 2019 max relations containing the same ideal: 91
  1117. Fri Jan 25 18:55:34 2019 removing 7963980 relations and 5963980 ideals in 2000000 cliques
  1118. Fri Jan 25 18:55:39 2019 commencing in-memory singleton removal
  1119. Fri Jan 25 18:55:50 2019 begin with 90470342 relations and 92195452 unique ideals
  1120. Fri Jan 25 18:57:43 2019 reduce to 89956668 relations and 85708847 ideals in 8 passes
  1121. Fri Jan 25 18:57:43 2019 max relations containing the same ideal: 87
  1122. Fri Jan 25 18:58:57 2019 removing 8043537 relations and 6043537 ideals in 2000000 cliques
  1123. Fri Jan 25 18:59:02 2019 commencing in-memory singleton removal
  1124. Fri Jan 25 18:59:12 2019 begin with 81913131 relations and 85708847 unique ideals
  1125. Fri Jan 25 19:01:06 2019 reduce to 81338430 relations and 79079901 ideals in 9 passes
  1126. Fri Jan 25 19:01:06 2019 max relations containing the same ideal: 84
  1127. Fri Jan 25 19:02:14 2019 removing 790018 relations and 669814 ideals in 120204 cliques
  1128. Fri Jan 25 19:02:17 2019 commencing in-memory singleton removal
  1129. Fri Jan 25 19:02:27 2019 begin with 80548412 relations and 79079901 unique ideals
  1130. Fri Jan 25 19:03:42 2019 reduce to 80543326 relations and 78404996 ideals in 6 passes
  1131. Fri Jan 25 19:03:42 2019 max relations containing the same ideal: 83
  1132. Fri Jan 25 19:04:08 2019 relations with 0 large ideals: 46765
  1133. Fri Jan 25 19:04:08 2019 relations with 1 large ideals: 32782
  1134. Fri Jan 25 19:04:08 2019 relations with 2 large ideals: 428291
  1135. Fri Jan 25 19:04:08 2019 relations with 3 large ideals: 2608218
  1136. Fri Jan 25 19:04:08 2019 relations with 4 large ideals: 8645751
  1137. Fri Jan 25 19:04:08 2019 relations with 5 large ideals: 17221921
  1138. Fri Jan 25 19:04:08 2019 relations with 6 large ideals: 21604125
  1139. Fri Jan 25 19:04:08 2019 relations with 7+ large ideals: 29955473
  1140. Fri Jan 25 19:04:08 2019 commencing 2-way merge
  1141. Fri Jan 25 19:05:35 2019 reduce to 51384366 relation sets and 49246036 unique ideals
  1142. Fri Jan 25 19:05:35 2019 commencing full merge
  1143. Fri Jan 25 19:43:17 2019 memory use: 6540.1 MB
  1144. Fri Jan 25 19:43:25 2019 found 22528413 cycles, need 22516236
  1145. Fri Jan 25 19:43:39 2019 weight of 22516236 cycles is about 2972180783 (132.00/cycle)
  1146. Fri Jan 25 19:43:39 2019 distribution of cycle lengths:
  1147. Fri Jan 25 19:43:39 2019 1 relations: 1194801
  1148. Fri Jan 25 19:43:39 2019 2 relations: 1477184
  1149. Fri Jan 25 19:43:39 2019 3 relations: 1575266
  1150. Fri Jan 25 19:43:39 2019 4 relations: 1550430
  1151. Fri Jan 25 19:43:39 2019 5 relations: 1526118
  1152. Fri Jan 25 19:43:39 2019 6 relations: 1483591
  1153. Fri Jan 25 19:43:39 2019 7 relations: 1435944
  1154. Fri Jan 25 19:43:39 2019 8 relations: 1375113
  1155. Fri Jan 25 19:43:39 2019 9 relations: 1302572
  1156. Fri Jan 25 19:43:39 2019 10+ relations: 9595217
  1157. Fri Jan 25 19:43:39 2019 heaviest cycle: 28 relations
  1158. Fri Jan 25 19:43:50 2019 commencing cycle optimization
  1159. Fri Jan 25 19:45:11 2019 start with 209013401 relations
  1160. Fri Jan 25 20:00:37 2019 pruned 9701053 relations
  1161. Fri Jan 25 20:00:37 2019 memory use: 5458.1 MB
  1162. Fri Jan 25 20:00:37 2019 distribution of cycle lengths:
  1163. Fri Jan 25 20:00:37 2019 1 relations: 1194801
  1164. Fri Jan 25 20:00:37 2019 2 relations: 1515160
  1165. Fri Jan 25 20:00:37 2019 3 relations: 1643554
  1166. Fri Jan 25 20:00:37 2019 4 relations: 1614141
  1167. Fri Jan 25 20:00:37 2019 5 relations: 1600747
  1168. Fri Jan 25 20:00:37 2019 6 relations: 1551199
  1169. Fri Jan 25 20:00:37 2019 7 relations: 1505720
  1170. Fri Jan 25 20:00:37 2019 8 relations: 1436401
  1171. Fri Jan 25 20:00:37 2019 9 relations: 1363849
  1172. Fri Jan 25 20:00:37 2019 10+ relations: 9090664
  1173. Fri Jan 25 20:00:37 2019 heaviest cycle: 28 relations
  1174. Fri Jan 25 20:01:48 2019 RelProcTime: 23551
  1175. Fri Jan 25 20:01:48 2019 elapsed time 06:32:33
  1176. Sat Jan 26 09:46:39 2019
  1177. Sat Jan 26 09:46:39 2019
  1178. Sat Jan 26 09:46:39 2019 Msieve v. 1.54 (SVN 1022M)
  1179. Sat Jan 26 09:46:39 2019 random seeds: b043f617 bf79ea95
  1180. Sat Jan 26 09:46:39 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  1181. Sat Jan 26 09:46:40 2019 no P-1/P+1/ECM available, skipping
  1182. Sat Jan 26 09:46:40 2019 commencing number field sieve (224-digit input)
  1183. Sat Jan 26 09:46:40 2019 R0: -619220451666590135228675387863297874269396512
  1184. Sat Jan 26 09:46:40 2019 R1: 1001919737325604309473206237898433933302481297
  1185. Sat Jan 26 09:46:40 2019 A0: 4
  1186. Sat Jan 26 09:46:40 2019 A1: 3
  1187. Sat Jan 26 09:46:40 2019 A2: 30
  1188. Sat Jan 26 09:46:40 2019 A3: -15
  1189. Sat Jan 26 09:46:40 2019 A4: 45
  1190. Sat Jan 26 09:46:40 2019 A5: -27
  1191. Sat Jan 26 09:46:40 2019 A6: 6
  1192. Sat Jan 26 09:46:40 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  1193. Sat Jan 26 09:46:40 2019
  1194. Sat Jan 26 09:46:40 2019 commencing linear algebra
  1195. Sat Jan 26 09:46:43 2019 read 22516236 cycles
  1196. Sat Jan 26 09:47:32 2019 cycles contain 79338083 unique relations
  1197. Sat Jan 26 09:54:37 2019 read 79338083 relations
  1198. Sat Jan 26 09:57:16 2019 using 20 quadratic characters above 4294917295
  1199. Sat Jan 26 10:02:25 2019 building initial matrix
  1200. Sat Jan 26 10:18:01 2019 memory use: 10543.9 MB
  1201. Sat Jan 26 10:18:11 2019 read 22516236 cycles
  1202. Sat Jan 26 10:18:14 2019 matrix is 22516059 x 22516236 (11469.6 MB) with weight 3276202183 (145.50/col)
  1203. Sat Jan 26 10:18:14 2019 sparse part has weight 2759003681 (122.53/col)
  1204. Sat Jan 26 10:23:39 2019 filtering completed in 2 passes
  1205. Sat Jan 26 10:23:43 2019 matrix is 22515843 x 22516018 (11469.6 MB) with weight 3276195193 (145.51/col)
  1206. Sat Jan 26 10:23:43 2019 sparse part has weight 2759001770 (122.54/col)
  1207. Sat Jan 26 10:25:09 2019 matrix starts at (0, 0)
  1208. Sat Jan 26 10:25:12 2019 matrix is 22515843 x 22516018 (11469.6 MB) with weight 3276195193 (145.51/col)
  1209. Sat Jan 26 10:25:12 2019 sparse part has weight 2759001770 (122.54/col)
  1210. Sat Jan 26 10:25:12 2019 saving the first 112 matrix rows for later
  1211. Sat Jan 26 10:25:18 2019 matrix includes 128 packed rows
  1212. Sat Jan 26 10:25:23 2019 matrix is 22515731 x 22516018 (10658.8 MB) with weight 2662544997 (118.25/col)
  1213. Sat Jan 26 10:25:23 2019 sparse part has weight 2523957720 (112.10/col)
  1214. Sat Jan 26 10:25:23 2019 using block size 8192 and superblock size 589824 for processor cache size 12288 kB
  1215. Sat Jan 26 10:26:48 2019 commencing Lanczos iteration (6 threads)
  1216. Sat Jan 26 10:26:48 2019 memory use: 11704.1 MB
  1217. Sat Jan 26 10:27:54 2019 linear algebra at 0.0%, ETA 236h55m
  1218. Sat Jan 26 10:28:14 2019 checkpointing every 100000 dimensions
  1219. Tue Feb 5 10:30:09 2019 lanczos halted after 176965 iterations (dim = 22515724)
  1220. Tue Feb 5 10:30:56 2019 recovered 32 nontrivial dependencies
  1221. Tue Feb 5 10:30:57 2019 BLanczosTime: 866657
  1222. Tue Feb 5 10:30:57 2019 elapsed time 240:44:18
  1223. Tue Feb 5 10:30:57 2019
  1224. Tue Feb 5 10:30:57 2019
  1225. Tue Feb 5 10:30:57 2019 Msieve v. 1.54 (SVN 1022M)
  1226. Tue Feb 5 10:30:57 2019 random seeds: 248c7ff6 d91bb08e
  1227. Tue Feb 5 10:30:57 2019 factoring 46936894134365710294525931363283133092063861928112250315894489868414100258654208300009970086347305078546813206936874527714704329711803251750768803993195782496786750620860202244470195137131310451836767437107979578574415202101 (224 digits)
  1228. Tue Feb 5 10:30:58 2019 no P-1/P+1/ECM available, skipping
  1229. Tue Feb 5 10:30:58 2019 commencing number field sieve (224-digit input)
  1230. Tue Feb 5 10:30:58 2019 R0: -619220451666590135228675387863297874269396512
  1231. Tue Feb 5 10:30:58 2019 R1: 1001919737325604309473206237898433933302481297
  1232. Tue Feb 5 10:30:58 2019 A0: 4
  1233. Tue Feb 5 10:30:58 2019 A1: 3
  1234. Tue Feb 5 10:30:58 2019 A2: 30
  1235. Tue Feb 5 10:30:58 2019 A3: -15
  1236. Tue Feb 5 10:30:58 2019 A4: 45
  1237. Tue Feb 5 10:30:58 2019 A5: -27
  1238. Tue Feb 5 10:30:58 2019 A6: 6
  1239. Tue Feb 5 10:30:58 2019 skew 1.00, size 2.503e-13, alpha 0.306, combined = 4.040e-14 rroots = 0
  1240. Tue Feb 5 10:30:58 2019
  1241. Tue Feb 5 10:30:58 2019 commencing square root phase
  1242. Tue Feb 5 10:30:58 2019 reading relations for dependency 1
  1243. Tue Feb 5 10:31:02 2019 read 11254174 cycles
  1244. Tue Feb 5 10:31:22 2019 cycles contain 39658500 unique relations
  1245. Tue Feb 5 10:34:53 2019 read 39658500 relations
  1246. Tue Feb 5 10:37:47 2019 multiplying 39658500 relations
  1247. Tue Feb 5 11:14:39 2019 multiply complete, coefficients have about 1178.54 million bits
  1248. Tue Feb 5 11:14:45 2019 initial square root is modulo 193469
  1249. Tue Feb 5 11:55:23 2019 GCD is 1, no factor found
  1250. Tue Feb 5 11:55:23 2019 reading relations for dependency 2
  1251. Tue Feb 5 11:55:26 2019 read 11260224 cycles
  1252. Tue Feb 5 11:56:03 2019 cycles contain 39670330 unique relations
  1253. Tue Feb 5 12:00:09 2019 read 39670330 relations
  1254. Tue Feb 5 12:04:02 2019 multiplying 39670330 relations
  1255. Tue Feb 5 12:43:23 2019 multiply complete, coefficients have about 1178.90 million bits
  1256. Tue Feb 5 12:43:28 2019 initial square root is modulo 194263
  1257. Tue Feb 5 13:23:32 2019 sqrtTime: 10354
  1258. Tue Feb 5 13:23:32 2019 p96 factor: 336124686987705140692071905981797798063766392065435458340911807201327210105507801637635510256961
  1259. Tue Feb 5 13:23:32 2019 p129 factor: 139641317497404112559962703770087203884123184718518217988773412895352872231636052038705695179371235684879608654930470419534954741
  1260. Tue Feb 5 13:23:32 2019 elapsed time 02:52:35
Advertisement
Add Comment
Please, Sign In to add comment
Advertisement
Public Pastes
Advertisement
We use cookies for various purposes including analytics. By continuing to use Pastebin, you agree to our use of cookies as described in the Cookies Policy.  OK, I Understand
Not a member of Pastebin yet?
Sign Up, it unlocks many cool features!