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L1947 linear algebra log

fivemack Feb 5th, 2019 80 Never
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  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
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