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12^241+5^241 linear algebra log

fivemack Aug 20th, 2019 72 Never
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  1. Thu Aug  8 08:30:08 2019  
  2. Thu Aug  8 08:30:08 2019  
  3. Thu Aug  8 08:30:08 2019  Msieve v. 1.53 (SVN 993)
  4. Thu Aug  8 08:30:08 2019  random seeds: 5a946ae3 4a1a5667
  5. Thu Aug  8 08:30:08 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  6. Thu Aug  8 08:30:09 2019  no P-1/P+1/ECM available, skipping
  7. Thu Aug  8 08:30:09 2019  commencing number field sieve (204-digit input)
  8. Thu Aug  8 08:30:09 2019  R0: 14697715679690864505827555550150426126974976
  9. Thu Aug  8 08:30:09 2019  R1: -9094947017729282379150390625
  10. Thu Aug  8 08:30:09 2019  A0: 5
  11. Thu Aug  8 08:30:09 2019  A1: 0
  12. Thu Aug  8 08:30:09 2019  A2: 0
  13. Thu Aug  8 08:30:09 2019  A3: 0
  14. Thu Aug  8 08:30:09 2019  A4: 0
  15. Thu Aug  8 08:30:09 2019  A5: 0
  16. Thu Aug  8 08:30:09 2019  A6: 12
  17. Thu Aug  8 08:30:09 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  18. Thu Aug  8 08:30:09 2019  
  19. Thu Aug  8 08:30:09 2019  commencing relation filtering
  20. Thu Aug  8 08:30:09 2019  setting target matrix density to 70.0
  21. Thu Aug  8 08:30:09 2019  estimated available RAM is 95375.2 MB
  22. Thu Aug  8 08:30:09 2019  commencing duplicate removal, pass 1
  23.   3 errors
  24. Thu Aug  8 09:16:21 2019  skipped 7 relations with composite factors
  25. Thu Aug  8 09:16:21 2019  found 25684299 hash collisions in 350106441 relations
  26. Thu Aug  8 09:16:36 2019  added 1218161 free relations
  27. Thu Aug  8 09:16:36 2019  commencing duplicate removal, pass 2
  28. Thu Aug  8 09:18:11 2019  found 1 duplicates and 351324601 unique relations
  29. Thu Aug  8 09:18:11 2019  memory use: 1257.5 MB
  30. Thu Aug  8 09:18:11 2019  reading ideals above 720000
  31. Thu Aug  8 09:18:12 2019  commencing singleton removal, initial pass
  32. Thu Aug  8 10:30:48 2019  memory use: 11024.0 MB
  33. Thu Aug  8 10:30:48 2019  reading all ideals from disk
  34. Thu Aug  8 10:31:03 2019  memory use: 14489.8 MB
  35. Thu Aug  8 10:32:11 2019  keeping 337769926 ideals with weight <= 200, target excess is 1711435
  36. Thu Aug  8 10:33:38 2019  commencing in-memory singleton removal
  37. Thu Aug  8 10:34:22 2019  begin with 351324601 relations and 337769926 unique ideals
  38. Thu Aug  8 10:43:58 2019  reduce to 212901807 relations and 183813796 ideals in 16 passes
  39. Thu Aug  8 10:43:58 2019  max relations containing the same ideal: 151
  40. Thu Aug  8 10:46:25 2019  removing 14959874 relations and 12959874 ideals in 2000000 cliques
  41. Thu Aug  8 10:46:34 2019  commencing in-memory singleton removal
  42. Thu Aug  8 10:46:58 2019  begin with 197941933 relations and 183813796 unique ideals
  43. Thu Aug  8 10:51:31 2019  reduce to 197064202 relations and 169964595 ideals in 9 passes
  44. Thu Aug  8 10:51:31 2019  max relations containing the same ideal: 145
  45. Thu Aug  8 10:53:49 2019  removing 11193014 relations and 9193014 ideals in 2000000 cliques
  46. Thu Aug  8 10:53:57 2019  commencing in-memory singleton removal
  47. Thu Aug  8 10:54:18 2019  begin with 185871188 relations and 169964595 unique ideals
  48. Thu Aug  8 10:58:29 2019  reduce to 185330982 relations and 160225382 ideals in 9 passes
  49. Thu Aug  8 10:58:29 2019  max relations containing the same ideal: 141
  50. Thu Aug  8 11:00:41 2019  removing 10020744 relations and 8020744 ideals in 2000000 cliques
  51. Thu Aug  8 11:00:49 2019  commencing in-memory singleton removal
  52. Thu Aug  8 11:01:08 2019  begin with 175310238 relations and 160225382 unique ideals
  53. Thu Aug  8 11:05:07 2019  reduce to 174849022 relations and 151738298 ideals in 9 passes
  54. Thu Aug  8 11:05:07 2019  max relations containing the same ideal: 136
  55. Thu Aug  8 11:07:11 2019  removing 9390006 relations and 7390006 ideals in 2000000 cliques
  56. Thu Aug  8 11:07:17 2019  commencing in-memory singleton removal
  57. Thu Aug  8 11:07:36 2019  begin with 165459016 relations and 151738298 unique ideals
  58. Thu Aug  8 11:10:28 2019  reduce to 165034108 relations and 143918596 ideals in 7 passes
  59. Thu Aug  8 11:10:28 2019  max relations containing the same ideal: 130
  60. Thu Aug  8 11:12:30 2019  removing 8979498 relations and 6979498 ideals in 2000000 cliques
  61. Thu Aug  8 11:12:37 2019  commencing in-memory singleton removal
  62. Thu Aug  8 11:12:55 2019  begin with 156054610 relations and 143918596 unique ideals
  63. Thu Aug  8 11:15:37 2019  reduce to 155645281 relations and 136525132 ideals in 7 passes
  64. Thu Aug  8 11:15:37 2019  max relations containing the same ideal: 126
  65. Thu Aug  8 11:17:25 2019  removing 8695908 relations and 6695908 ideals in 2000000 cliques
  66. Thu Aug  8 11:17:31 2019  commencing in-memory singleton removal
  67. Thu Aug  8 11:17:48 2019  begin with 146949373 relations and 136525132 unique ideals
  68. Thu Aug  8 11:21:02 2019  reduce to 146550607 relations and 129425742 ideals in 9 passes
  69. Thu Aug  8 11:21:02 2019  max relations containing the same ideal: 120
  70. Thu Aug  8 11:22:52 2019  removing 8495002 relations and 6495002 ideals in 2000000 cliques
  71. Thu Aug  8 11:22:58 2019  commencing in-memory singleton removal
  72. Thu Aug  8 11:23:13 2019  begin with 138055605 relations and 129425742 unique ideals
  73. Thu Aug  8 11:25:53 2019  reduce to 137656121 relations and 122526369 ideals in 8 passes
  74. Thu Aug  8 11:25:53 2019  max relations containing the same ideal: 116
  75. Thu Aug  8 11:27:28 2019  removing 8336107 relations and 6336107 ideals in 2000000 cliques
  76. Thu Aug  8 11:27:34 2019  commencing in-memory singleton removal
  77. Thu Aug  8 11:27:48 2019  begin with 129320014 relations and 122526369 unique ideals
  78. Thu Aug  8 11:29:59 2019  reduce to 128915530 relations and 115780564 ideals in 7 passes
  79. Thu Aug  8 11:29:59 2019  max relations containing the same ideal: 112
  80. Thu Aug  8 11:31:33 2019  removing 8221397 relations and 6221397 ideals in 2000000 cliques
  81. Thu Aug  8 11:31:38 2019  commencing in-memory singleton removal
  82. Thu Aug  8 11:31:51 2019  begin with 120694133 relations and 115780564 unique ideals
  83. Thu Aug  8 11:33:55 2019  reduce to 120279719 relations and 109139147 ideals in 7 passes
  84. Thu Aug  8 11:33:55 2019  max relations containing the same ideal: 107
  85. Thu Aug  8 11:35:24 2019  removing 8133904 relations and 6133904 ideals in 2000000 cliques
  86. Thu Aug  8 11:35:29 2019  commencing in-memory singleton removal
  87. Thu Aug  8 11:35:41 2019  begin with 112145815 relations and 109139147 unique ideals
  88. Thu Aug  8 11:37:48 2019  reduce to 111718994 relations and 102572135 ideals in 8 passes
  89. Thu Aug  8 11:37:48 2019  max relations containing the same ideal: 104
  90. Thu Aug  8 11:39:05 2019  removing 8069808 relations and 6069808 ideals in 2000000 cliques
  91. Thu Aug  8 11:39:10 2019  commencing in-memory singleton removal
  92. Thu Aug  8 11:39:22 2019  begin with 103649186 relations and 102572135 unique ideals
  93. Thu Aug  8 11:41:34 2019  reduce to 103199811 relations and 96046032 ideals in 9 passes
  94. Thu Aug  8 11:41:34 2019  max relations containing the same ideal: 102
  95. Thu Aug  8 11:42:48 2019  removing 8024153 relations and 6024153 ideals in 2000000 cliques
  96. Thu Aug  8 11:42:53 2019  commencing in-memory singleton removal
  97. Thu Aug  8 11:43:03 2019  begin with 95175658 relations and 96046032 unique ideals
  98. Thu Aug  8 11:44:50 2019  reduce to 94696055 relations and 89534437 ideals in 8 passes
  99. Thu Aug  8 11:44:50 2019  max relations containing the same ideal: 93
  100. Thu Aug  8 11:45:59 2019  removing 8008690 relations and 6008690 ideals in 2000000 cliques
  101. Thu Aug  8 11:46:03 2019  commencing in-memory singleton removal
  102. Thu Aug  8 11:46:13 2019  begin with 86687365 relations and 89534437 unique ideals
  103. Thu Aug  8 11:47:47 2019  reduce to 86167403 relations and 82996424 ideals in 8 passes
  104. Thu Aug  8 11:47:47 2019  max relations containing the same ideal: 87
  105. Thu Aug  8 11:48:51 2019  removing 5256121 relations and 4070407 ideals in 1185714 cliques
  106. Thu Aug  8 11:48:55 2019  commencing in-memory singleton removal
  107. Thu Aug  8 11:49:04 2019  begin with 80911282 relations and 82996424 unique ideals
  108. Thu Aug  8 11:50:34 2019  reduce to 80675170 relations and 78687011 ideals in 8 passes
  109. Thu Aug  8 11:50:34 2019  max relations containing the same ideal: 84
  110. Thu Aug  8 11:51:51 2019  relations with 0 large ideals: 64914
  111. Thu Aug  8 11:51:51 2019  relations with 1 large ideals: 47055
  112. Thu Aug  8 11:51:51 2019  relations with 2 large ideals: 567632
  113. Thu Aug  8 11:51:51 2019  relations with 3 large ideals: 3217574
  114. Thu Aug  8 11:51:51 2019  relations with 4 large ideals: 9928129
  115. Thu Aug  8 11:51:51 2019  relations with 5 large ideals: 18442726
  116. Thu Aug  8 11:51:51 2019  relations with 6 large ideals: 21524738
  117. Thu Aug  8 11:51:51 2019  relations with 7+ large ideals: 26882402
  118. Thu Aug  8 11:51:51 2019  commencing 2-way merge
  119. Thu Aug  8 11:53:08 2019  reduce to 52237094 relation sets and 50248935 unique ideals
  120. Thu Aug  8 11:53:08 2019  commencing full merge
  121. Thu Aug  8 12:12:08 2019  memory use: 5920.6 MB
  122. Thu Aug  8 12:12:17 2019  found 28286734 cycles, need 28011135
  123. Thu Aug  8 12:12:35 2019  weight of 28011135 cycles is about 1960916884 (70.00/cycle)
  124. Thu Aug  8 12:12:35 2019  distribution of cycle lengths:
  125. Thu Aug  8 12:12:35 2019  1 relations: 3487916
  126. Thu Aug  8 12:12:35 2019  2 relations: 3572395
  127. Thu Aug  8 12:12:35 2019  3 relations: 3552108
  128. Thu Aug  8 12:12:35 2019  4 relations: 3252663
  129. Thu Aug  8 12:12:35 2019  5 relations: 2929785
  130. Thu Aug  8 12:12:35 2019  6 relations: 2579131
  131. Thu Aug  8 12:12:35 2019  7 relations: 2214991
  132. Thu Aug  8 12:12:35 2019  8 relations: 1818267
  133. Thu Aug  8 12:12:35 2019  9 relations: 1427481
  134. Thu Aug  8 12:12:35 2019  10+ relations: 3176398
  135. Thu Aug  8 12:12:35 2019  heaviest cycle: 18 relations
  136. Thu Aug  8 12:12:50 2019  commencing cycle optimization
  137. Thu Aug  8 12:13:50 2019  start with 143843343 relations
  138. Thu Aug  8 12:18:56 2019  pruned 3327095 relations
  139. Thu Aug  8 12:18:59 2019  memory use: 4796.2 MB
  140. Thu Aug  8 12:18:59 2019  distribution of cycle lengths:
  141. Thu Aug  8 12:18:59 2019  1 relations: 3487916
  142. Thu Aug  8 12:18:59 2019  2 relations: 3645731
  143. Thu Aug  8 12:18:59 2019  3 relations: 3673918
  144. Thu Aug  8 12:18:59 2019  4 relations: 3329766
  145. Thu Aug  8 12:18:59 2019  5 relations: 3000859
  146. Thu Aug  8 12:18:59 2019  6 relations: 2617348
  147. Thu Aug  8 12:18:59 2019  7 relations: 2234457
  148. Thu Aug  8 12:18:59 2019  8 relations: 1804351
  149. Thu Aug  8 12:18:59 2019  9 relations: 1396148
  150. Thu Aug  8 12:18:59 2019  10+ relations: 2820641
  151. Thu Aug  8 12:18:59 2019  heaviest cycle: 18 relations
  152. Thu Aug  8 12:19:55 2019  RelProcTime: 13786
  153. Thu Aug  8 12:20:09 2019  elapsed time 03:50:01
  154. Thu Aug  8 12:20:10 2019  
  155. Thu Aug  8 12:20:10 2019  
  156. Thu Aug  8 12:20:10 2019  Msieve v. 1.53 (SVN 993)
  157. Thu Aug  8 12:20:10 2019  random seeds: dbdb042f 73e1df56
  158. Thu Aug  8 12:20:10 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  159. Thu Aug  8 12:20:12 2019  no P-1/P+1/ECM available, skipping
  160. Thu Aug  8 12:20:12 2019  commencing number field sieve (204-digit input)
  161. Thu Aug  8 12:20:12 2019  R0: 14697715679690864505827555550150426126974976
  162. Thu Aug  8 12:20:12 2019  R1: -9094947017729282379150390625
  163. Thu Aug  8 12:20:12 2019  A0: 5
  164. Thu Aug  8 12:20:12 2019  A1: 0
  165. Thu Aug  8 12:20:12 2019  A2: 0
  166. Thu Aug  8 12:20:12 2019  A3: 0
  167. Thu Aug  8 12:20:12 2019  A4: 0
  168. Thu Aug  8 12:20:12 2019  A5: 0
  169. Thu Aug  8 12:20:12 2019  A6: 12
  170. Thu Aug  8 12:20:12 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  171. Thu Aug  8 12:20:12 2019  
  172. Thu Aug  8 12:20:12 2019  commencing relation filtering
  173. Thu Aug  8 12:20:12 2019  setting target matrix density to 134.0
  174. Thu Aug  8 12:20:12 2019  estimated available RAM is 95375.2 MB
  175. Thu Aug  8 12:20:12 2019  commencing duplicate removal, pass 1
  176.   3 errors
  177. Thu Aug  8 13:37:54 2019  skipped 7 relations with composite factors
  178. Thu Aug  8 13:37:54 2019  found 25854001 hash collisions in 351324602 relations
  179. Thu Aug  8 13:38:15 2019  commencing duplicate removal, pass 2
  180. Thu Aug  8 13:40:50 2019  found 1 duplicates and 351324601 unique relations
  181. Thu Aug  8 13:40:50 2019  memory use: 1257.5 MB
  182. Thu Aug  8 13:40:50 2019  reading ideals above 720000
  183. Thu Aug  8 13:40:50 2019  commencing singleton removal, initial pass
  184. Thu Aug  8 15:06:24 2019  memory use: 11024.0 MB
  185. Thu Aug  8 15:06:24 2019  reading all ideals from disk
  186. Thu Aug  8 15:06:40 2019  memory use: 14489.8 MB
  187. Thu Aug  8 15:07:48 2019  keeping 337769926 ideals with weight <= 200, target excess is 1711435
  188. Thu Aug  8 15:09:08 2019  commencing in-memory singleton removal
  189. Thu Aug  8 15:09:55 2019  begin with 351324601 relations and 337769926 unique ideals
  190. Thu Aug  8 15:19:29 2019  reduce to 212901807 relations and 183813796 ideals in 16 passes
  191. Thu Aug  8 15:19:29 2019  max relations containing the same ideal: 151
  192. Thu Aug  8 15:22:01 2019  removing 14959874 relations and 12959874 ideals in 2000000 cliques
  193. Thu Aug  8 15:22:10 2019  commencing in-memory singleton removal
  194. Thu Aug  8 15:22:34 2019  begin with 197941933 relations and 183813796 unique ideals
  195. Thu Aug  8 15:27:05 2019  reduce to 197064202 relations and 169964595 ideals in 9 passes
  196. Thu Aug  8 15:27:05 2019  max relations containing the same ideal: 145
  197. Thu Aug  8 15:29:23 2019  removing 11193014 relations and 9193014 ideals in 2000000 cliques
  198. Thu Aug  8 15:29:31 2019  commencing in-memory singleton removal
  199. Thu Aug  8 15:29:53 2019  begin with 185871188 relations and 169964595 unique ideals
  200. Thu Aug  8 15:34:07 2019  reduce to 185330982 relations and 160225382 ideals in 9 passes
  201. Thu Aug  8 15:34:07 2019  max relations containing the same ideal: 141
  202. Thu Aug  8 15:36:17 2019  removing 10020744 relations and 8020744 ideals in 2000000 cliques
  203. Thu Aug  8 15:36:24 2019  commencing in-memory singleton removal
  204. Thu Aug  8 15:36:44 2019  begin with 175310238 relations and 160225382 unique ideals
  205. Thu Aug  8 15:40:42 2019  reduce to 174849022 relations and 151738298 ideals in 9 passes
  206. Thu Aug  8 15:40:42 2019  max relations containing the same ideal: 136
  207. Thu Aug  8 15:42:48 2019  removing 9390006 relations and 7390006 ideals in 2000000 cliques
  208. Thu Aug  8 15:42:55 2019  commencing in-memory singleton removal
  209. Thu Aug  8 15:43:13 2019  begin with 165459016 relations and 151738298 unique ideals
  210. Thu Aug  8 15:46:06 2019  reduce to 165034108 relations and 143918596 ideals in 7 passes
  211. Thu Aug  8 15:46:06 2019  max relations containing the same ideal: 130
  212. Thu Aug  8 15:48:02 2019  removing 8979498 relations and 6979498 ideals in 2000000 cliques
  213. Thu Aug  8 15:48:09 2019  commencing in-memory singleton removal
  214. Thu Aug  8 15:48:27 2019  begin with 156054610 relations and 143918596 unique ideals
  215. Thu Aug  8 15:51:12 2019  reduce to 155645281 relations and 136525132 ideals in 7 passes
  216. Thu Aug  8 15:51:12 2019  max relations containing the same ideal: 126
  217. Thu Aug  8 15:53:04 2019  removing 8695908 relations and 6695908 ideals in 2000000 cliques
  218. Thu Aug  8 15:53:11 2019  commencing in-memory singleton removal
  219. Thu Aug  8 15:53:27 2019  begin with 146949373 relations and 136525132 unique ideals
  220. Thu Aug  8 15:56:40 2019  reduce to 146550607 relations and 129425742 ideals in 9 passes
  221. Thu Aug  8 15:56:40 2019  max relations containing the same ideal: 120
  222. Thu Aug  8 15:58:23 2019  removing 8495002 relations and 6495002 ideals in 2000000 cliques
  223. Thu Aug  8 15:58:29 2019  commencing in-memory singleton removal
  224. Thu Aug  8 15:58:45 2019  begin with 138055605 relations and 129425742 unique ideals
  225. Thu Aug  8 16:01:28 2019  reduce to 137656121 relations and 122526369 ideals in 8 passes
  226. Thu Aug  8 16:01:28 2019  max relations containing the same ideal: 116
  227. Thu Aug  8 16:03:06 2019  removing 8336107 relations and 6336107 ideals in 2000000 cliques
  228. Thu Aug  8 16:03:12 2019  commencing in-memory singleton removal
  229. Thu Aug  8 16:03:26 2019  begin with 129320014 relations and 122526369 unique ideals
  230. Thu Aug  8 16:05:38 2019  reduce to 128915530 relations and 115780564 ideals in 7 passes
  231. Thu Aug  8 16:05:38 2019  max relations containing the same ideal: 112
  232. Thu Aug  8 16:07:09 2019  removing 8221397 relations and 6221397 ideals in 2000000 cliques
  233. Thu Aug  8 16:07:15 2019  commencing in-memory singleton removal
  234. Thu Aug  8 16:07:28 2019  begin with 120694133 relations and 115780564 unique ideals
  235. Thu Aug  8 16:09:29 2019  reduce to 120279719 relations and 109139147 ideals in 7 passes
  236. Thu Aug  8 16:09:29 2019  max relations containing the same ideal: 107
  237. Thu Aug  8 16:10:57 2019  removing 8133904 relations and 6133904 ideals in 2000000 cliques
  238. Thu Aug  8 16:11:02 2019  commencing in-memory singleton removal
  239. Thu Aug  8 16:11:14 2019  begin with 112145815 relations and 109139147 unique ideals
  240. Thu Aug  8 16:13:23 2019  reduce to 111718994 relations and 102572135 ideals in 8 passes
  241. Thu Aug  8 16:13:23 2019  max relations containing the same ideal: 104
  242. Thu Aug  8 16:14:42 2019  removing 8069808 relations and 6069808 ideals in 2000000 cliques
  243. Thu Aug  8 16:14:48 2019  commencing in-memory singleton removal
  244. Thu Aug  8 16:14:59 2019  begin with 103649186 relations and 102572135 unique ideals
  245. Thu Aug  8 16:17:11 2019  reduce to 103199811 relations and 96046032 ideals in 9 passes
  246. Thu Aug  8 16:17:11 2019  max relations containing the same ideal: 102
  247. Thu Aug  8 16:18:26 2019  removing 8024153 relations and 6024153 ideals in 2000000 cliques
  248. Thu Aug  8 16:18:31 2019  commencing in-memory singleton removal
  249. Thu Aug  8 16:18:41 2019  begin with 95175658 relations and 96046032 unique ideals
  250. Thu Aug  8 16:20:29 2019  reduce to 94696055 relations and 89534437 ideals in 8 passes
  251. Thu Aug  8 16:20:29 2019  max relations containing the same ideal: 93
  252. Thu Aug  8 16:21:41 2019  removing 8008690 relations and 6008690 ideals in 2000000 cliques
  253. Thu Aug  8 16:21:46 2019  commencing in-memory singleton removal
  254. Thu Aug  8 16:21:55 2019  begin with 86687365 relations and 89534437 unique ideals
  255. Thu Aug  8 16:23:30 2019  reduce to 86167403 relations and 82996424 ideals in 8 passes
  256. Thu Aug  8 16:23:30 2019  max relations containing the same ideal: 87
  257. Thu Aug  8 16:24:32 2019  removing 5256121 relations and 4070407 ideals in 1185714 cliques
  258. Thu Aug  8 16:24:35 2019  commencing in-memory singleton removal
  259. Thu Aug  8 16:24:44 2019  begin with 80911282 relations and 82996424 unique ideals
  260. Thu Aug  8 16:26:12 2019  reduce to 80675170 relations and 78687011 ideals in 8 passes
  261. Thu Aug  8 16:26:12 2019  max relations containing the same ideal: 84
  262. Thu Aug  8 16:27:29 2019  relations with 0 large ideals: 64914
  263. Thu Aug  8 16:27:29 2019  relations with 1 large ideals: 47055
  264. Thu Aug  8 16:27:29 2019  relations with 2 large ideals: 567632
  265. Thu Aug  8 16:27:29 2019  relations with 3 large ideals: 3217574
  266. Thu Aug  8 16:27:29 2019  relations with 4 large ideals: 9928129
  267. Thu Aug  8 16:27:29 2019  relations with 5 large ideals: 18442726
  268. Thu Aug  8 16:27:29 2019  relations with 6 large ideals: 21524738
  269. Thu Aug  8 16:27:29 2019  relations with 7+ large ideals: 26882402
  270. Thu Aug  8 16:27:29 2019  commencing 2-way merge
  271. Thu Aug  8 16:28:46 2019  reduce to 52237094 relation sets and 50248935 unique ideals
  272. Thu Aug  8 16:28:46 2019  commencing full merge
  273. Thu Aug  8 17:25:01 2019  memory use: 2337.9 MB
  274. Thu Aug  8 17:25:01 2019  found 271611 cycles, need 11408135
  275. Thu Aug  8 17:25:01 2019  too few cycles, matrix probably cannot build
  276. Thu Aug  8 17:25:02 2019  
  277. Thu Aug  8 17:25:02 2019  
  278. Thu Aug  8 17:25:02 2019  Msieve v. 1.53 (SVN 993)
  279. Thu Aug  8 17:25:02 2019  random seeds: 36aefc6c 9fa8e860
  280. Thu Aug  8 17:25:02 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  281. Thu Aug  8 17:25:04 2019  no P-1/P+1/ECM available, skipping
  282. Thu Aug  8 17:25:04 2019  commencing number field sieve (204-digit input)
  283. Thu Aug  8 17:25:04 2019  R0: 14697715679690864505827555550150426126974976
  284. Thu Aug  8 17:25:04 2019  R1: -9094947017729282379150390625
  285. Thu Aug  8 17:25:04 2019  A0: 5
  286. Thu Aug  8 17:25:04 2019  A1: 0
  287. Thu Aug  8 17:25:04 2019  A2: 0
  288. Thu Aug  8 17:25:04 2019  A3: 0
  289. Thu Aug  8 17:25:04 2019  A4: 0
  290. Thu Aug  8 17:25:04 2019  A5: 0
  291. Thu Aug  8 17:25:04 2019  A6: 12
  292. Thu Aug  8 17:25:04 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  293. Thu Aug  8 17:25:04 2019  
  294. Thu Aug  8 17:25:04 2019  commencing relation filtering
  295. Thu Aug  8 17:25:04 2019  setting target matrix density to 102.0
  296. Thu Aug  8 17:25:04 2019  estimated available RAM is 95375.2 MB
  297. Thu Aug  8 17:25:04 2019  commencing duplicate removal, pass 1
  298.   3 errors
  299. Thu Aug  8 18:42:54 2019  skipped 7 relations with composite factors
  300. Thu Aug  8 18:42:54 2019  found 25854001 hash collisions in 351324602 relations
  301. Thu Aug  8 18:43:16 2019  commencing duplicate removal, pass 2
  302. Thu Aug  8 18:45:56 2019  found 1 duplicates and 351324601 unique relations
  303. Thu Aug  8 18:45:56 2019  memory use: 1257.5 MB
  304. Thu Aug  8 18:45:56 2019  reading ideals above 720000
  305. Thu Aug  8 18:45:57 2019  commencing singleton removal, initial pass
  306. Thu Aug  8 20:09:49 2019  memory use: 11024.0 MB
  307. Thu Aug  8 20:09:50 2019  reading all ideals from disk
  308. Thu Aug  8 20:10:05 2019  memory use: 14489.8 MB
  309. Thu Aug  8 20:11:16 2019  keeping 337769926 ideals with weight <= 200, target excess is 1711435
  310. Thu Aug  8 20:12:39 2019  commencing in-memory singleton removal
  311. Thu Aug  8 20:13:24 2019  begin with 351324601 relations and 337769926 unique ideals
  312. Thu Aug  8 20:23:10 2019  reduce to 212901807 relations and 183813796 ideals in 16 passes
  313. Thu Aug  8 20:23:10 2019  max relations containing the same ideal: 151
  314. Thu Aug  8 20:25:43 2019  removing 14959874 relations and 12959874 ideals in 2000000 cliques
  315. Thu Aug  8 20:25:52 2019  commencing in-memory singleton removal
  316. Thu Aug  8 20:26:16 2019  begin with 197941933 relations and 183813796 unique ideals
  317. Thu Aug  8 20:30:53 2019  reduce to 197064202 relations and 169964595 ideals in 9 passes
  318. Thu Aug  8 20:30:53 2019  max relations containing the same ideal: 145
  319. Thu Aug  8 20:33:12 2019  removing 11193014 relations and 9193014 ideals in 2000000 cliques
  320. Thu Aug  8 20:33:20 2019  commencing in-memory singleton removal
  321. Thu Aug  8 20:33:42 2019  begin with 185871188 relations and 169964595 unique ideals
  322. Thu Aug  8 20:37:58 2019  reduce to 185330982 relations and 160225382 ideals in 9 passes
  323. Thu Aug  8 20:37:58 2019  max relations containing the same ideal: 141
  324. Thu Aug  8 20:40:14 2019  removing 10020744 relations and 8020744 ideals in 2000000 cliques
  325. Thu Aug  8 20:40:22 2019  commencing in-memory singleton removal
  326. Thu Aug  8 20:40:42 2019  begin with 175310238 relations and 160225382 unique ideals
  327. Thu Aug  8 20:44:41 2019  reduce to 174849022 relations and 151738298 ideals in 9 passes
  328. Thu Aug  8 20:44:41 2019  max relations containing the same ideal: 136
  329. Thu Aug  8 20:46:49 2019  removing 9390006 relations and 7390006 ideals in 2000000 cliques
  330. Thu Aug  8 20:46:56 2019  commencing in-memory singleton removal
  331. Thu Aug  8 20:47:15 2019  begin with 165459016 relations and 151738298 unique ideals
  332. Thu Aug  8 20:50:11 2019  reduce to 165034108 relations and 143918596 ideals in 7 passes
  333. Thu Aug  8 20:50:11 2019  max relations containing the same ideal: 130
  334. Thu Aug  8 20:52:10 2019  removing 8979498 relations and 6979498 ideals in 2000000 cliques
  335. Thu Aug  8 20:52:16 2019  commencing in-memory singleton removal
  336. Thu Aug  8 20:52:34 2019  begin with 156054610 relations and 143918596 unique ideals
  337. Thu Aug  8 20:55:17 2019  reduce to 155645281 relations and 136525132 ideals in 7 passes
  338. Thu Aug  8 20:55:17 2019  max relations containing the same ideal: 126
  339. Thu Aug  8 20:57:10 2019  removing 8695908 relations and 6695908 ideals in 2000000 cliques
  340. Thu Aug  8 20:57:16 2019  commencing in-memory singleton removal
  341. Thu Aug  8 20:57:33 2019  begin with 146949373 relations and 136525132 unique ideals
  342. Thu Aug  8 21:00:52 2019  reduce to 146550607 relations and 129425742 ideals in 9 passes
  343. Thu Aug  8 21:00:52 2019  max relations containing the same ideal: 120
  344. Thu Aug  8 21:02:40 2019  removing 8495002 relations and 6495002 ideals in 2000000 cliques
  345. Thu Aug  8 21:02:46 2019  commencing in-memory singleton removal
  346. Thu Aug  8 21:03:01 2019  begin with 138055605 relations and 129425742 unique ideals
  347. Thu Aug  8 21:05:43 2019  reduce to 137656121 relations and 122526369 ideals in 8 passes
  348. Thu Aug  8 21:05:43 2019  max relations containing the same ideal: 116
  349. Thu Aug  8 21:07:23 2019  removing 8336107 relations and 6336107 ideals in 2000000 cliques
  350. Thu Aug  8 21:07:29 2019  commencing in-memory singleton removal
  351. Thu Aug  8 21:07:43 2019  begin with 129320014 relations and 122526369 unique ideals
  352. Thu Aug  8 21:09:56 2019  reduce to 128915530 relations and 115780564 ideals in 7 passes
  353. Thu Aug  8 21:09:56 2019  max relations containing the same ideal: 112
  354. Thu Aug  8 21:11:31 2019  removing 8221397 relations and 6221397 ideals in 2000000 cliques
  355. Thu Aug  8 21:11:37 2019  commencing in-memory singleton removal
  356. Thu Aug  8 21:11:51 2019  begin with 120694133 relations and 115780564 unique ideals
  357. Thu Aug  8 21:13:54 2019  reduce to 120279719 relations and 109139147 ideals in 7 passes
  358. Thu Aug  8 21:13:54 2019  max relations containing the same ideal: 107
  359. Thu Aug  8 21:15:21 2019  removing 8133904 relations and 6133904 ideals in 2000000 cliques
  360. Thu Aug  8 21:15:26 2019  commencing in-memory singleton removal
  361. Thu Aug  8 21:15:38 2019  begin with 112145815 relations and 109139147 unique ideals
  362. Thu Aug  8 21:17:50 2019  reduce to 111718994 relations and 102572135 ideals in 8 passes
  363. Thu Aug  8 21:17:50 2019  max relations containing the same ideal: 104
  364. Thu Aug  8 21:19:11 2019  removing 8069808 relations and 6069808 ideals in 2000000 cliques
  365. Thu Aug  8 21:19:16 2019  commencing in-memory singleton removal
  366. Thu Aug  8 21:19:27 2019  begin with 103649186 relations and 102572135 unique ideals
  367. Thu Aug  8 21:21:42 2019  reduce to 103199811 relations and 96046032 ideals in 9 passes
  368. Thu Aug  8 21:21:42 2019  max relations containing the same ideal: 102
  369. Thu Aug  8 21:22:57 2019  removing 8024153 relations and 6024153 ideals in 2000000 cliques
  370. Thu Aug  8 21:23:02 2019  commencing in-memory singleton removal
  371. Thu Aug  8 21:23:13 2019  begin with 95175658 relations and 96046032 unique ideals
  372. Thu Aug  8 21:25:01 2019  reduce to 94696055 relations and 89534437 ideals in 8 passes
  373. Thu Aug  8 21:25:01 2019  max relations containing the same ideal: 93
  374. Thu Aug  8 21:26:09 2019  removing 8008690 relations and 6008690 ideals in 2000000 cliques
  375. Thu Aug  8 21:26:14 2019  commencing in-memory singleton removal
  376. Thu Aug  8 21:26:23 2019  begin with 86687365 relations and 89534437 unique ideals
  377. Thu Aug  8 21:28:01 2019  reduce to 86167403 relations and 82996424 ideals in 8 passes
  378. Thu Aug  8 21:28:01 2019  max relations containing the same ideal: 87
  379. Thu Aug  8 21:29:04 2019  removing 5256121 relations and 4070407 ideals in 1185714 cliques
  380. Thu Aug  8 21:29:08 2019  commencing in-memory singleton removal
  381. Thu Aug  8 21:29:17 2019  begin with 80911282 relations and 82996424 unique ideals
  382. Thu Aug  8 21:30:48 2019  reduce to 80675170 relations and 78687011 ideals in 8 passes
  383. Thu Aug  8 21:30:48 2019  max relations containing the same ideal: 84
  384. Thu Aug  8 21:32:07 2019  relations with 0 large ideals: 64914
  385. Thu Aug  8 21:32:07 2019  relations with 1 large ideals: 47055
  386. Thu Aug  8 21:32:07 2019  relations with 2 large ideals: 567632
  387. Thu Aug  8 21:32:07 2019  relations with 3 large ideals: 3217574
  388. Thu Aug  8 21:32:07 2019  relations with 4 large ideals: 9928129
  389. Thu Aug  8 21:32:07 2019  relations with 5 large ideals: 18442726
  390. Thu Aug  8 21:32:07 2019  relations with 6 large ideals: 21524738
  391. Thu Aug  8 21:32:07 2019  relations with 7+ large ideals: 26882402
  392. Thu Aug  8 21:32:07 2019  commencing 2-way merge
  393. Thu Aug  8 21:33:25 2019  reduce to 52237094 relation sets and 50248935 unique ideals
  394. Thu Aug  8 21:33:25 2019  commencing full merge
  395. Thu Aug  8 21:59:06 2019  memory use: 6232.5 MB
  396. Thu Aug  8 21:59:13 2019  found 24695980 cycles, need 24469135
  397. Thu Aug  8 21:59:29 2019  weight of 24469135 cycles is about 2496019318 (102.01/cycle)
  398. Thu Aug  8 21:59:29 2019  distribution of cycle lengths:
  399. Thu Aug  8 21:59:29 2019  1 relations: 1676557
  400. Thu Aug  8 21:59:29 2019  2 relations: 2009185
  401. Thu Aug  8 21:59:29 2019  3 relations: 2148952
  402. Thu Aug  8 21:59:29 2019  4 relations: 2113167
  403. Thu Aug  8 21:59:29 2019  5 relations: 2053101
  404. Thu Aug  8 21:59:29 2019  6 relations: 1931293
  405. Thu Aug  8 21:59:29 2019  7 relations: 1827396
  406. Thu Aug  8 21:59:29 2019  8 relations: 1684325
  407. Thu Aug  8 21:59:29 2019  9 relations: 1525169
  408. Thu Aug  8 21:59:29 2019  10+ relations: 7499990
  409. Thu Aug  8 21:59:29 2019  heaviest cycle: 26 relations
  410. Thu Aug  8 21:59:40 2019  commencing cycle optimization
  411. Thu Aug  8 22:00:46 2019  start with 183349502 relations
  412. Thu Aug  8 22:10:26 2019  pruned 6678826 relations
  413. Thu Aug  8 22:10:28 2019  memory use: 5221.7 MB
  414. Thu Aug  8 22:10:29 2019  distribution of cycle lengths:
  415. Thu Aug  8 22:10:29 2019  1 relations: 1676557
  416. Thu Aug  8 22:10:29 2019  2 relations: 2058616
  417. Thu Aug  8 22:10:29 2019  3 relations: 2239097
  418. Thu Aug  8 22:10:29 2019  4 relations: 2189851
  419. Thu Aug  8 22:10:29 2019  5 relations: 2137712
  420. Thu Aug  8 22:10:29 2019  6 relations: 1999998
  421. Thu Aug  8 22:10:29 2019  7 relations: 1893242
  422. Thu Aug  8 22:10:29 2019  8 relations: 1730179
  423. Thu Aug  8 22:10:29 2019  9 relations: 1562666
  424. Thu Aug  8 22:10:29 2019  10+ relations: 6981217
  425. Thu Aug  8 22:10:29 2019  heaviest cycle: 26 relations
  426. Thu Aug  8 22:11:34 2019  RelProcTime: 17190
  427. Thu Aug  8 22:11:34 2019  elapsed time 04:46:32
  428. Thu Aug  8 22:11:36 2019  
  429. Thu Aug  8 22:11:36 2019  
  430. Thu Aug  8 22:11:36 2019  Msieve v. 1.53 (SVN 993)
  431. Thu Aug  8 22:11:36 2019  random seeds: 10bdf64c 494a2491
  432. Thu Aug  8 22:11:36 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  433. Thu Aug  8 22:11:38 2019  no P-1/P+1/ECM available, skipping
  434. Thu Aug  8 22:11:38 2019  commencing number field sieve (204-digit input)
  435. Thu Aug  8 22:11:38 2019  R0: 14697715679690864505827555550150426126974976
  436. Thu Aug  8 22:11:38 2019  R1: -9094947017729282379150390625
  437. Thu Aug  8 22:11:38 2019  A0: 5
  438. Thu Aug  8 22:11:38 2019  A1: 0
  439. Thu Aug  8 22:11:38 2019  A2: 0
  440. Thu Aug  8 22:11:38 2019  A3: 0
  441. Thu Aug  8 22:11:38 2019  A4: 0
  442. Thu Aug  8 22:11:38 2019  A5: 0
  443. Thu Aug  8 22:11:38 2019  A6: 12
  444. Thu Aug  8 22:11:38 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  445. Thu Aug  8 22:11:38 2019  
  446. Thu Aug  8 22:11:38 2019  commencing relation filtering
  447. Thu Aug  8 22:11:38 2019  setting target matrix density to 118.0
  448. Thu Aug  8 22:11:38 2019  estimated available RAM is 95375.2 MB
  449. Thu Aug  8 22:11:38 2019  commencing duplicate removal, pass 1
  450.   3 errors
  451. Thu Aug  8 23:29:33 2019  skipped 7 relations with composite factors
  452. Thu Aug  8 23:29:33 2019  found 25854001 hash collisions in 351324602 relations
  453. Thu Aug  8 23:29:54 2019  commencing duplicate removal, pass 2
  454. Thu Aug  8 23:32:46 2019  found 1 duplicates and 351324601 unique relations
  455. Thu Aug  8 23:32:46 2019  memory use: 1257.5 MB
  456. Thu Aug  8 23:32:47 2019  reading ideals above 720000
  457. Thu Aug  8 23:32:47 2019  commencing singleton removal, initial pass
  458. Fri Aug  9 00:56:13 2019  memory use: 11024.0 MB
  459. Fri Aug  9 00:56:13 2019  reading all ideals from disk
  460. Fri Aug  9 00:56:30 2019  memory use: 14489.8 MB
  461. Fri Aug  9 00:57:43 2019  keeping 337769926 ideals with weight <= 200, target excess is 1711435
  462. Fri Aug  9 00:59:02 2019  commencing in-memory singleton removal
  463. Fri Aug  9 00:59:47 2019  begin with 351324601 relations and 337769926 unique ideals
  464. Fri Aug  9 01:09:26 2019  reduce to 212901807 relations and 183813796 ideals in 16 passes
  465. Fri Aug  9 01:09:26 2019  max relations containing the same ideal: 151
  466. Fri Aug  9 01:11:58 2019  removing 14959874 relations and 12959874 ideals in 2000000 cliques
  467. Fri Aug  9 01:12:07 2019  commencing in-memory singleton removal
  468. Fri Aug  9 01:12:31 2019  begin with 197941933 relations and 183813796 unique ideals
  469. Fri Aug  9 01:17:05 2019  reduce to 197064202 relations and 169964595 ideals in 9 passes
  470. Fri Aug  9 01:17:05 2019  max relations containing the same ideal: 145
  471. Fri Aug  9 01:19:25 2019  removing 11193014 relations and 9193014 ideals in 2000000 cliques
  472. Fri Aug  9 01:19:33 2019  commencing in-memory singleton removal
  473. Fri Aug  9 01:19:54 2019  begin with 185871188 relations and 169964595 unique ideals
  474. Fri Aug  9 01:24:08 2019  reduce to 185330982 relations and 160225382 ideals in 9 passes
  475. Fri Aug  9 01:24:08 2019  max relations containing the same ideal: 141
  476. Fri Aug  9 01:26:21 2019  removing 10020744 relations and 8020744 ideals in 2000000 cliques
  477. Fri Aug  9 01:26:28 2019  commencing in-memory singleton removal
  478. Fri Aug  9 01:26:48 2019  begin with 175310238 relations and 160225382 unique ideals
  479. Fri Aug  9 01:30:49 2019  reduce to 174849022 relations and 151738298 ideals in 9 passes
  480. Fri Aug  9 01:30:49 2019  max relations containing the same ideal: 136
  481. Fri Aug  9 01:32:53 2019  removing 9390006 relations and 7390006 ideals in 2000000 cliques
  482. Fri Aug  9 01:33:00 2019  commencing in-memory singleton removal
  483. Fri Aug  9 01:33:19 2019  begin with 165459016 relations and 151738298 unique ideals
  484. Fri Aug  9 01:36:13 2019  reduce to 165034108 relations and 143918596 ideals in 7 passes
  485. Fri Aug  9 01:36:13 2019  max relations containing the same ideal: 130
  486. Fri Aug  9 01:38:13 2019  removing 8979498 relations and 6979498 ideals in 2000000 cliques
  487. Fri Aug  9 01:38:20 2019  commencing in-memory singleton removal
  488. Fri Aug  9 01:38:38 2019  begin with 156054610 relations and 143918596 unique ideals
  489. Fri Aug  9 01:41:22 2019  reduce to 155645281 relations and 136525132 ideals in 7 passes
  490. Fri Aug  9 01:41:22 2019  max relations containing the same ideal: 126
  491. Fri Aug  9 01:43:12 2019  removing 8695908 relations and 6695908 ideals in 2000000 cliques
  492. Fri Aug  9 01:43:19 2019  commencing in-memory singleton removal
  493. Fri Aug  9 01:43:36 2019  begin with 146949373 relations and 136525132 unique ideals
  494. Fri Aug  9 01:46:52 2019  reduce to 146550607 relations and 129425742 ideals in 9 passes
  495. Fri Aug  9 01:46:52 2019  max relations containing the same ideal: 120
  496. Fri Aug  9 01:48:39 2019  removing 8495002 relations and 6495002 ideals in 2000000 cliques
  497. Fri Aug  9 01:48:45 2019  commencing in-memory singleton removal
  498. Fri Aug  9 01:49:01 2019  begin with 138055605 relations and 129425742 unique ideals
  499. Fri Aug  9 01:51:44 2019  reduce to 137656121 relations and 122526369 ideals in 8 passes
  500. Fri Aug  9 01:51:44 2019  max relations containing the same ideal: 116
  501. Fri Aug  9 01:53:22 2019  removing 8336107 relations and 6336107 ideals in 2000000 cliques
  502. Fri Aug  9 01:53:28 2019  commencing in-memory singleton removal
  503. Fri Aug  9 01:53:42 2019  begin with 129320014 relations and 122526369 unique ideals
  504. Fri Aug  9 01:55:55 2019  reduce to 128915530 relations and 115780564 ideals in 7 passes
  505. Fri Aug  9 01:55:55 2019  max relations containing the same ideal: 112
  506. Fri Aug  9 01:57:29 2019  removing 8221397 relations and 6221397 ideals in 2000000 cliques
  507. Fri Aug  9 01:57:34 2019  commencing in-memory singleton removal
  508. Fri Aug  9 01:57:47 2019  begin with 120694133 relations and 115780564 unique ideals
  509. Fri Aug  9 01:59:52 2019  reduce to 120279719 relations and 109139147 ideals in 7 passes
  510. Fri Aug  9 01:59:52 2019  max relations containing the same ideal: 107
  511. Fri Aug  9 02:01:19 2019  removing 8133904 relations and 6133904 ideals in 2000000 cliques
  512. Fri Aug  9 02:01:24 2019  commencing in-memory singleton removal
  513. Fri Aug  9 02:01:36 2019  begin with 112145815 relations and 109139147 unique ideals
  514. Fri Aug  9 02:03:45 2019  reduce to 111718994 relations and 102572135 ideals in 8 passes
  515. Fri Aug  9 02:03:45 2019  max relations containing the same ideal: 104
  516. Fri Aug  9 02:05:07 2019  removing 8069808 relations and 6069808 ideals in 2000000 cliques
  517. Fri Aug  9 02:05:12 2019  commencing in-memory singleton removal
  518. Fri Aug  9 02:05:23 2019  begin with 103649186 relations and 102572135 unique ideals
  519. Fri Aug  9 02:07:37 2019  reduce to 103199811 relations and 96046032 ideals in 9 passes
  520. Fri Aug  9 02:07:37 2019  max relations containing the same ideal: 102
  521. Fri Aug  9 02:08:52 2019  removing 8024153 relations and 6024153 ideals in 2000000 cliques
  522. Fri Aug  9 02:08:57 2019  commencing in-memory singleton removal
  523. Fri Aug  9 02:09:08 2019  begin with 95175658 relations and 96046032 unique ideals
  524. Fri Aug  9 02:10:56 2019  reduce to 94696055 relations and 89534437 ideals in 8 passes
  525. Fri Aug  9 02:10:56 2019  max relations containing the same ideal: 93
  526. Fri Aug  9 02:12:06 2019  removing 8008690 relations and 6008690 ideals in 2000000 cliques
  527. Fri Aug  9 02:12:11 2019  commencing in-memory singleton removal
  528. Fri Aug  9 02:12:20 2019  begin with 86687365 relations and 89534437 unique ideals
  529. Fri Aug  9 02:13:56 2019  reduce to 86167403 relations and 82996424 ideals in 8 passes
  530. Fri Aug  9 02:13:56 2019  max relations containing the same ideal: 87
  531. Fri Aug  9 02:15:01 2019  removing 5256121 relations and 4070407 ideals in 1185714 cliques
  532. Fri Aug  9 02:15:05 2019  commencing in-memory singleton removal
  533. Fri Aug  9 02:15:14 2019  begin with 80911282 relations and 82996424 unique ideals
  534. Fri Aug  9 02:16:43 2019  reduce to 80675170 relations and 78687011 ideals in 8 passes
  535. Fri Aug  9 02:16:43 2019  max relations containing the same ideal: 84
  536. Fri Aug  9 02:18:01 2019  relations with 0 large ideals: 64914
  537. Fri Aug  9 02:18:01 2019  relations with 1 large ideals: 47055
  538. Fri Aug  9 02:18:01 2019  relations with 2 large ideals: 567632
  539. Fri Aug  9 02:18:01 2019  relations with 3 large ideals: 3217574
  540. Fri Aug  9 02:18:01 2019  relations with 4 large ideals: 9928129
  541. Fri Aug  9 02:18:01 2019  relations with 5 large ideals: 18442726
  542. Fri Aug  9 02:18:01 2019  relations with 6 large ideals: 21524738
  543. Fri Aug  9 02:18:01 2019  relations with 7+ large ideals: 26882402
  544. Fri Aug  9 02:18:01 2019  commencing 2-way merge
  545. Fri Aug  9 02:19:21 2019  reduce to 52237094 relation sets and 50248935 unique ideals
  546. Fri Aug  9 02:19:21 2019  commencing full merge
  547. Fri Aug  9 02:53:58 2019  memory use: 6326.2 MB
  548. Fri Aug  9 02:54:07 2019  found 23458313 cycles, need 23343135
  549. Fri Aug  9 02:54:23 2019  weight of 23343135 cycles is about 2754743023 (118.01/cycle)
  550. Fri Aug  9 02:54:23 2019  distribution of cycle lengths:
  551. Fri Aug  9 02:54:23 2019  1 relations: 1236040
  552. Fri Aug  9 02:54:23 2019  2 relations: 1573789
  553. Fri Aug  9 02:54:23 2019  3 relations: 1755143
  554. Fri Aug  9 02:54:23 2019  4 relations: 1757618
  555. Fri Aug  9 02:54:23 2019  5 relations: 1750477
  556. Fri Aug  9 02:54:23 2019  6 relations: 1680132
  557. Fri Aug  9 02:54:23 2019  7 relations: 1612732
  558. Fri Aug  9 02:54:23 2019  8 relations: 1522215
  559. Fri Aug  9 02:54:23 2019  9 relations: 1428604
  560. Fri Aug  9 02:54:23 2019  10+ relations: 9026385
  561. Fri Aug  9 02:54:23 2019  heaviest cycle: 28 relations
  562. Fri Aug  9 02:54:33 2019  commencing cycle optimization
  563. Fri Aug  9 02:55:51 2019  start with 202097064 relations
  564. Fri Aug  9 03:10:01 2019  pruned 8500868 relations
  565. Fri Aug  9 03:10:02 2019  memory use: 5412.4 MB
  566. Fri Aug  9 03:10:02 2019  distribution of cycle lengths:
  567. Fri Aug  9 03:10:02 2019  1 relations: 1236040
  568. Fri Aug  9 03:10:02 2019  2 relations: 1614835
  569. Fri Aug  9 03:10:02 2019  3 relations: 1831764
  570. Fri Aug  9 03:10:02 2019  4 relations: 1828544
  571. Fri Aug  9 03:10:02 2019  5 relations: 1831626
  572. Fri Aug  9 03:10:02 2019  6 relations: 1750726
  573. Fri Aug  9 03:10:02 2019  7 relations: 1683359
  574. Fri Aug  9 03:10:02 2019  8 relations: 1581054
  575. Fri Aug  9 03:10:02 2019  9 relations: 1480671
  576. Fri Aug  9 03:10:02 2019  10+ relations: 8504516
  577. Fri Aug  9 03:10:02 2019  heaviest cycle: 28 relations
  578. Fri Aug  9 03:11:20 2019  RelProcTime: 17982
  579. Fri Aug  9 03:11:20 2019  elapsed time 04:59:44
  580. Fri Aug  9 03:11:21 2019  
  581. Fri Aug  9 03:11:21 2019  
  582. Fri Aug  9 03:11:21 2019  Msieve v. 1.53 (SVN 993)
  583. Fri Aug  9 03:11:21 2019  random seeds: 22e8701f 85c0bbb6
  584. Fri Aug  9 03:11:21 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  585. Fri Aug  9 03:11:23 2019  no P-1/P+1/ECM available, skipping
  586. Fri Aug  9 03:11:23 2019  commencing number field sieve (204-digit input)
  587. Fri Aug  9 03:11:23 2019  R0: 14697715679690864505827555550150426126974976
  588. Fri Aug  9 03:11:23 2019  R1: -9094947017729282379150390625
  589. Fri Aug  9 03:11:23 2019  A0: 5
  590. Fri Aug  9 03:11:23 2019  A1: 0
  591. Fri Aug  9 03:11:23 2019  A2: 0
  592. Fri Aug  9 03:11:23 2019  A3: 0
  593. Fri Aug  9 03:11:23 2019  A4: 0
  594. Fri Aug  9 03:11:23 2019  A5: 0
  595. Fri Aug  9 03:11:23 2019  A6: 12
  596. Fri Aug  9 03:11:23 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  597. Fri Aug  9 03:11:23 2019  
  598. Fri Aug  9 03:11:23 2019  commencing relation filtering
  599. Fri Aug  9 03:11:23 2019  setting target matrix density to 126.0
  600. Fri Aug  9 03:11:23 2019  estimated available RAM is 95375.2 MB
  601. Fri Aug  9 03:11:23 2019  commencing duplicate removal, pass 1
  602.   3 errors
  603. Fri Aug  9 04:29:11 2019  skipped 7 relations with composite factors
  604. Fri Aug  9 04:29:11 2019  found 25854001 hash collisions in 351324602 relations
  605. Fri Aug  9 04:29:32 2019  commencing duplicate removal, pass 2
  606. Fri Aug  9 04:32:10 2019  found 1 duplicates and 351324601 unique relations
  607. Fri Aug  9 04:32:10 2019  memory use: 1257.5 MB
  608. Fri Aug  9 04:32:10 2019  reading ideals above 720000
  609. Fri Aug  9 04:32:11 2019  commencing singleton removal, initial pass
  610. Fri Aug  9 05:58:51 2019  memory use: 11024.0 MB
  611. Fri Aug  9 05:58:52 2019  reading all ideals from disk
  612. Fri Aug  9 05:59:06 2019  memory use: 14489.8 MB
  613. Fri Aug  9 06:00:12 2019  keeping 337769926 ideals with weight <= 200, target excess is 1711435
  614. Fri Aug  9 06:01:33 2019  commencing in-memory singleton removal
  615. Fri Aug  9 06:02:17 2019  begin with 351324601 relations and 337769926 unique ideals
  616. Fri Aug  9 06:11:50 2019  reduce to 212901807 relations and 183813796 ideals in 16 passes
  617. Fri Aug  9 06:11:50 2019  max relations containing the same ideal: 151
  618. Fri Aug  9 06:14:22 2019  removing 14959874 relations and 12959874 ideals in 2000000 cliques
  619. Fri Aug  9 06:14:31 2019  commencing in-memory singleton removal
  620. Fri Aug  9 06:14:54 2019  begin with 197941933 relations and 183813796 unique ideals
  621. Fri Aug  9 06:19:26 2019  reduce to 197064202 relations and 169964595 ideals in 9 passes
  622. Fri Aug  9 06:19:26 2019  max relations containing the same ideal: 145
  623. Fri Aug  9 06:21:45 2019  removing 11193014 relations and 9193014 ideals in 2000000 cliques
  624. Fri Aug  9 06:21:54 2019  commencing in-memory singleton removal
  625. Fri Aug  9 06:22:16 2019  begin with 185871188 relations and 169964595 unique ideals
  626. Fri Aug  9 06:26:26 2019  reduce to 185330982 relations and 160225382 ideals in 9 passes
  627. Fri Aug  9 06:26:26 2019  max relations containing the same ideal: 141
  628. Fri Aug  9 06:28:37 2019  removing 10020744 relations and 8020744 ideals in 2000000 cliques
  629. Fri Aug  9 06:28:44 2019  commencing in-memory singleton removal
  630. Fri Aug  9 06:29:04 2019  begin with 175310238 relations and 160225382 unique ideals
  631. Fri Aug  9 06:33:00 2019  reduce to 174849022 relations and 151738298 ideals in 9 passes
  632. Fri Aug  9 06:33:00 2019  max relations containing the same ideal: 136
  633. Fri Aug  9 06:35:04 2019  removing 9390006 relations and 7390006 ideals in 2000000 cliques
  634. Fri Aug  9 06:35:11 2019  commencing in-memory singleton removal
  635. Fri Aug  9 06:35:30 2019  begin with 165459016 relations and 151738298 unique ideals
  636. Fri Aug  9 06:38:25 2019  reduce to 165034108 relations and 143918596 ideals in 7 passes
  637. Fri Aug  9 06:38:25 2019  max relations containing the same ideal: 130
  638. Fri Aug  9 06:40:23 2019  removing 8979498 relations and 6979498 ideals in 2000000 cliques
  639. Fri Aug  9 06:40:29 2019  commencing in-memory singleton removal
  640. Fri Aug  9 06:40:47 2019  begin with 156054610 relations and 143918596 unique ideals
  641. Fri Aug  9 06:43:28 2019  reduce to 155645281 relations and 136525132 ideals in 7 passes
  642. Fri Aug  9 06:43:28 2019  max relations containing the same ideal: 126
  643. Fri Aug  9 06:45:19 2019  removing 8695908 relations and 6695908 ideals in 2000000 cliques
  644. Fri Aug  9 06:45:26 2019  commencing in-memory singleton removal
  645. Fri Aug  9 06:45:42 2019  begin with 146949373 relations and 136525132 unique ideals
  646. Fri Aug  9 06:48:57 2019  reduce to 146550607 relations and 129425742 ideals in 9 passes
  647. Fri Aug  9 06:48:57 2019  max relations containing the same ideal: 120
  648. Fri Aug  9 06:50:42 2019  removing 8495002 relations and 6495002 ideals in 2000000 cliques
  649. Fri Aug  9 06:50:48 2019  commencing in-memory singleton removal
  650. Fri Aug  9 06:51:03 2019  begin with 138055605 relations and 129425742 unique ideals
  651. Fri Aug  9 06:53:45 2019  reduce to 137656121 relations and 122526369 ideals in 8 passes
  652. Fri Aug  9 06:53:45 2019  max relations containing the same ideal: 116
  653. Fri Aug  9 06:55:24 2019  removing 8336107 relations and 6336107 ideals in 2000000 cliques
  654. Fri Aug  9 06:55:30 2019  commencing in-memory singleton removal
  655. Fri Aug  9 06:55:44 2019  begin with 129320014 relations and 122526369 unique ideals
  656. Fri Aug  9 06:57:56 2019  reduce to 128915530 relations and 115780564 ideals in 7 passes
  657. Fri Aug  9 06:57:56 2019  max relations containing the same ideal: 112
  658. Fri Aug  9 06:59:26 2019  removing 8221397 relations and 6221397 ideals in 2000000 cliques
  659. Fri Aug  9 06:59:32 2019  commencing in-memory singleton removal
  660. Fri Aug  9 06:59:46 2019  begin with 120694133 relations and 115780564 unique ideals
  661. Fri Aug  9 07:01:47 2019  reduce to 120279719 relations and 109139147 ideals in 7 passes
  662. Fri Aug  9 07:01:47 2019  max relations containing the same ideal: 107
  663. Fri Aug  9 07:03:14 2019  removing 8133904 relations and 6133904 ideals in 2000000 cliques
  664. Fri Aug  9 07:03:19 2019  commencing in-memory singleton removal
  665. Fri Aug  9 07:03:31 2019  begin with 112145815 relations and 109139147 unique ideals
  666. Fri Aug  9 07:05:39 2019  reduce to 111718994 relations and 102572135 ideals in 8 passes
  667. Fri Aug  9 07:05:39 2019  max relations containing the same ideal: 104
  668. Fri Aug  9 07:07:01 2019  removing 8069808 relations and 6069808 ideals in 2000000 cliques
  669. Fri Aug  9 07:07:06 2019  commencing in-memory singleton removal
  670. Fri Aug  9 07:07:18 2019  begin with 103649186 relations and 102572135 unique ideals
  671. Fri Aug  9 07:09:31 2019  reduce to 103199811 relations and 96046032 ideals in 9 passes
  672. Fri Aug  9 07:09:31 2019  max relations containing the same ideal: 102
  673. Fri Aug  9 07:10:45 2019  removing 8024153 relations and 6024153 ideals in 2000000 cliques
  674. Fri Aug  9 07:10:50 2019  commencing in-memory singleton removal
  675. Fri Aug  9 07:11:00 2019  begin with 95175658 relations and 96046032 unique ideals
  676. Fri Aug  9 07:12:46 2019  reduce to 94696055 relations and 89534437 ideals in 8 passes
  677. Fri Aug  9 07:12:46 2019  max relations containing the same ideal: 93
  678. Fri Aug  9 07:13:56 2019  removing 8008690 relations and 6008690 ideals in 2000000 cliques
  679. Fri Aug  9 07:14:01 2019  commencing in-memory singleton removal
  680. Fri Aug  9 07:14:10 2019  begin with 86687365 relations and 89534437 unique ideals
  681. Fri Aug  9 07:15:46 2019  reduce to 86167403 relations and 82996424 ideals in 8 passes
  682. Fri Aug  9 07:15:46 2019  max relations containing the same ideal: 87
  683. Fri Aug  9 07:16:48 2019  removing 5256121 relations and 4070407 ideals in 1185714 cliques
  684. Fri Aug  9 07:16:51 2019  commencing in-memory singleton removal
  685. Fri Aug  9 07:17:00 2019  begin with 80911282 relations and 82996424 unique ideals
  686. Fri Aug  9 07:18:30 2019  reduce to 80675170 relations and 78687011 ideals in 8 passes
  687. Fri Aug  9 07:18:30 2019  max relations containing the same ideal: 84
  688. Fri Aug  9 07:19:47 2019  relations with 0 large ideals: 64914
  689. Fri Aug  9 07:19:47 2019  relations with 1 large ideals: 47055
  690. Fri Aug  9 07:19:47 2019  relations with 2 large ideals: 567632
  691. Fri Aug  9 07:19:47 2019  relations with 3 large ideals: 3217574
  692. Fri Aug  9 07:19:47 2019  relations with 4 large ideals: 9928129
  693. Fri Aug  9 07:19:47 2019  relations with 5 large ideals: 18442726
  694. Fri Aug  9 07:19:47 2019  relations with 6 large ideals: 21524738
  695. Fri Aug  9 07:19:47 2019  relations with 7+ large ideals: 26882402
  696. Fri Aug  9 07:19:47 2019  commencing 2-way merge
  697. Fri Aug  9 07:21:03 2019  reduce to 52237094 relation sets and 50248935 unique ideals
  698. Fri Aug  9 07:21:03 2019  commencing full merge
  699. Fri Aug  9 07:51:46 2019  memory use: 6351.7 MB
  700. Fri Aug  9 07:51:53 2019  found 22884319 cycles, need 22867135
  701. Fri Aug  9 07:52:08 2019  weight of 22867135 cycles is about 2881573342 (126.01/cycle)
  702. Fri Aug  9 07:52:08 2019  distribution of cycle lengths:
  703. Fri Aug  9 07:52:08 2019  1 relations: 1103959
  704. Fri Aug  9 07:52:08 2019  2 relations: 1419121
  705. Fri Aug  9 07:52:08 2019  3 relations: 1604196
  706. Fri Aug  9 07:52:08 2019  4 relations: 1609951
  707. Fri Aug  9 07:52:08 2019  5 relations: 1610644
  708. Fri Aug  9 07:52:08 2019  6 relations: 1556997
  709. Fri Aug  9 07:52:08 2019  7 relations: 1513987
  710. Fri Aug  9 07:52:08 2019  8 relations: 1435344
  711. Fri Aug  9 07:52:08 2019  9 relations: 1359654
  712. Fri Aug  9 07:52:08 2019  10+ relations: 9653282
  713. Fri Aug  9 07:52:08 2019  heaviest cycle: 28 relations
  714. Fri Aug  9 07:52:16 2019  commencing cycle optimization
  715. Fri Aug  9 07:53:28 2019  start with 211138752 relations
  716. Fri Aug  9 08:07:14 2019  pruned 9406914 relations
  717. Fri Aug  9 08:07:14 2019  memory use: 5501.5 MB
  718. Fri Aug  9 08:07:14 2019  distribution of cycle lengths:
  719. Fri Aug  9 08:07:14 2019  1 relations: 1103959
  720. Fri Aug  9 08:07:14 2019  2 relations: 1456527
  721. Fri Aug  9 08:07:14 2019  3 relations: 1674425
  722. Fri Aug  9 08:07:14 2019  4 relations: 1676408
  723. Fri Aug  9 08:07:14 2019  5 relations: 1688389
  724. Fri Aug  9 08:07:14 2019  6 relations: 1626887
  725. Fri Aug  9 08:07:14 2019  7 relations: 1584624
  726. Fri Aug  9 08:07:14 2019  8 relations: 1496205
  727. Fri Aug  9 08:07:14 2019  9 relations: 1415795
  728. Fri Aug  9 08:07:14 2019  10+ relations: 9143916
  729. Fri Aug  9 08:07:14 2019  heaviest cycle: 28 relations
  730. Fri Aug  9 08:08:17 2019  RelProcTime: 17814
  731. Fri Aug  9 08:08:17 2019  elapsed time 04:56:56
  732. Fri Aug  9 08:08:18 2019  
  733. Fri Aug  9 08:08:18 2019  
  734. Fri Aug  9 08:08:18 2019  Msieve v. 1.53 (SVN 993)
  735. Fri Aug  9 08:08:18 2019  random seeds: 478ac9ad 7e4d2dec
  736. Fri Aug  9 08:08:18 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  737. Fri Aug  9 08:08:20 2019  no P-1/P+1/ECM available, skipping
  738. Fri Aug  9 08:08:20 2019  commencing number field sieve (204-digit input)
  739. Fri Aug  9 08:08:20 2019  R0: 14697715679690864505827555550150426126974976
  740. Fri Aug  9 08:08:20 2019  R1: -9094947017729282379150390625
  741. Fri Aug  9 08:08:20 2019  A0: 5
  742. Fri Aug  9 08:08:20 2019  A1: 0
  743. Fri Aug  9 08:08:20 2019  A2: 0
  744. Fri Aug  9 08:08:20 2019  A3: 0
  745. Fri Aug  9 08:08:20 2019  A4: 0
  746. Fri Aug  9 08:08:20 2019  A5: 0
  747. Fri Aug  9 08:08:20 2019  A6: 12
  748. Fri Aug  9 08:08:20 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  749. Fri Aug  9 08:08:20 2019  
  750. Fri Aug  9 08:08:20 2019  commencing relation filtering
  751. Fri Aug  9 08:08:20 2019  setting target matrix density to 130.0
  752. Fri Aug  9 08:08:20 2019  estimated available RAM is 95375.2 MB
  753. Fri Aug  9 08:08:20 2019  commencing duplicate removal, pass 1
  754.   3 errors
  755. Fri Aug  9 09:26:10 2019  skipped 7 relations with composite factors
  756. Fri Aug  9 09:26:10 2019  found 25854001 hash collisions in 351324602 relations
  757. Fri Aug  9 09:26:32 2019  commencing duplicate removal, pass 2
  758. Fri Aug  9 09:29:07 2019  found 1 duplicates and 351324601 unique relations
  759. Fri Aug  9 09:29:07 2019  memory use: 1257.5 MB
  760. Fri Aug  9 09:29:07 2019  reading ideals above 720000
  761. Fri Aug  9 09:29:07 2019  commencing singleton removal, initial pass
  762. Fri Aug  9 10:55:42 2019  memory use: 11024.0 MB
  763. Fri Aug  9 10:55:42 2019  reading all ideals from disk
  764. Fri Aug  9 10:55:58 2019  memory use: 14489.8 MB
  765. Fri Aug  9 10:57:05 2019  keeping 337769926 ideals with weight <= 200, target excess is 1711435
  766. Fri Aug  9 10:58:32 2019  commencing in-memory singleton removal
  767. Fri Aug  9 10:59:16 2019  begin with 351324601 relations and 337769926 unique ideals
  768. Fri Aug  9 11:08:51 2019  reduce to 212901807 relations and 183813796 ideals in 16 passes
  769. Fri Aug  9 11:08:51 2019  max relations containing the same ideal: 151
  770. Fri Aug  9 11:11:23 2019  removing 14959874 relations and 12959874 ideals in 2000000 cliques
  771. Fri Aug  9 11:11:32 2019  commencing in-memory singleton removal
  772. Fri Aug  9 11:11:56 2019  begin with 197941933 relations and 183813796 unique ideals
  773. Fri Aug  9 11:16:29 2019  reduce to 197064202 relations and 169964595 ideals in 9 passes
  774. Fri Aug  9 11:16:29 2019  max relations containing the same ideal: 145
  775. Fri Aug  9 11:18:49 2019  removing 11193014 relations and 9193014 ideals in 2000000 cliques
  776. Fri Aug  9 11:18:57 2019  commencing in-memory singleton removal
  777. Fri Aug  9 11:19:18 2019  begin with 185871188 relations and 169964595 unique ideals
  778. Fri Aug  9 11:23:30 2019  reduce to 185330982 relations and 160225382 ideals in 9 passes
  779. Fri Aug  9 11:23:30 2019  max relations containing the same ideal: 141
  780. Fri Aug  9 11:25:42 2019  removing 10020744 relations and 8020744 ideals in 2000000 cliques
  781. Fri Aug  9 11:25:50 2019  commencing in-memory singleton removal
  782. Fri Aug  9 11:26:10 2019  begin with 175310238 relations and 160225382 unique ideals
  783. Fri Aug  9 11:30:06 2019  reduce to 174849022 relations and 151738298 ideals in 9 passes
  784. Fri Aug  9 11:30:06 2019  max relations containing the same ideal: 136
  785. Fri Aug  9 11:32:11 2019  removing 9390006 relations and 7390006 ideals in 2000000 cliques
  786. Fri Aug  9 11:32:18 2019  commencing in-memory singleton removal
  787. Fri Aug  9 11:32:36 2019  begin with 165459016 relations and 151738298 unique ideals
  788. Fri Aug  9 11:35:29 2019  reduce to 165034108 relations and 143918596 ideals in 7 passes
  789. Fri Aug  9 11:35:29 2019  max relations containing the same ideal: 130
  790. Fri Aug  9 11:37:26 2019  removing 8979498 relations and 6979498 ideals in 2000000 cliques
  791. Fri Aug  9 11:37:33 2019  commencing in-memory singleton removal
  792. Fri Aug  9 11:37:51 2019  begin with 156054610 relations and 143918596 unique ideals
  793. Fri Aug  9 11:40:33 2019  reduce to 155645281 relations and 136525132 ideals in 7 passes
  794. Fri Aug  9 11:40:33 2019  max relations containing the same ideal: 126
  795. Fri Aug  9 11:42:23 2019  removing 8695908 relations and 6695908 ideals in 2000000 cliques
  796. Fri Aug  9 11:42:30 2019  commencing in-memory singleton removal
  797. Fri Aug  9 11:42:47 2019  begin with 146949373 relations and 136525132 unique ideals
  798. Fri Aug  9 11:46:02 2019  reduce to 146550607 relations and 129425742 ideals in 9 passes
  799. Fri Aug  9 11:46:02 2019  max relations containing the same ideal: 120
  800. Fri Aug  9 11:47:46 2019  removing 8495002 relations and 6495002 ideals in 2000000 cliques
  801. Fri Aug  9 11:47:52 2019  commencing in-memory singleton removal
  802. Fri Aug  9 11:48:08 2019  begin with 138055605 relations and 129425742 unique ideals
  803. Fri Aug  9 11:50:48 2019  reduce to 137656121 relations and 122526369 ideals in 8 passes
  804. Fri Aug  9 11:50:48 2019  max relations containing the same ideal: 116
  805. Fri Aug  9 11:52:27 2019  removing 8336107 relations and 6336107 ideals in 2000000 cliques
  806. Fri Aug  9 11:52:33 2019  commencing in-memory singleton removal
  807. Fri Aug  9 11:52:47 2019  begin with 129320014 relations and 122526369 unique ideals
  808. Fri Aug  9 11:54:58 2019  reduce to 128915530 relations and 115780564 ideals in 7 passes
  809. Fri Aug  9 11:54:58 2019  max relations containing the same ideal: 112
  810. Fri Aug  9 11:56:32 2019  removing 8221397 relations and 6221397 ideals in 2000000 cliques
  811. Fri Aug  9 11:56:38 2019  commencing in-memory singleton removal
  812. Fri Aug  9 11:56:51 2019  begin with 120694133 relations and 115780564 unique ideals
  813. Fri Aug  9 11:58:54 2019  reduce to 120279719 relations and 109139147 ideals in 7 passes
  814. Fri Aug  9 11:58:54 2019  max relations containing the same ideal: 107
  815. Fri Aug  9 12:00:21 2019  removing 8133904 relations and 6133904 ideals in 2000000 cliques
  816. Fri Aug  9 12:00:26 2019  commencing in-memory singleton removal
  817. Fri Aug  9 12:00:38 2019  begin with 112145815 relations and 109139147 unique ideals
  818. Fri Aug  9 12:02:46 2019  reduce to 111718994 relations and 102572135 ideals in 8 passes
  819. Fri Aug  9 12:02:46 2019  max relations containing the same ideal: 104
  820. Fri Aug  9 12:04:06 2019  removing 8069808 relations and 6069808 ideals in 2000000 cliques
  821. Fri Aug  9 12:04:11 2019  commencing in-memory singleton removal
  822. Fri Aug  9 12:04:23 2019  begin with 103649186 relations and 102572135 unique ideals
  823. Fri Aug  9 12:06:36 2019  reduce to 103199811 relations and 96046032 ideals in 9 passes
  824. Fri Aug  9 12:06:36 2019  max relations containing the same ideal: 102
  825. Fri Aug  9 12:07:51 2019  removing 8024153 relations and 6024153 ideals in 2000000 cliques
  826. Fri Aug  9 12:07:56 2019  commencing in-memory singleton removal
  827. Fri Aug  9 12:08:06 2019  begin with 95175658 relations and 96046032 unique ideals
  828. Fri Aug  9 12:09:53 2019  reduce to 94696055 relations and 89534437 ideals in 8 passes
  829. Fri Aug  9 12:09:53 2019  max relations containing the same ideal: 93
  830. Fri Aug  9 12:11:01 2019  removing 8008690 relations and 6008690 ideals in 2000000 cliques
  831. Fri Aug  9 12:11:06 2019  commencing in-memory singleton removal
  832. Fri Aug  9 12:11:15 2019  begin with 86687365 relations and 89534437 unique ideals
  833. Fri Aug  9 12:12:51 2019  reduce to 86167403 relations and 82996424 ideals in 8 passes
  834. Fri Aug  9 12:12:51 2019  max relations containing the same ideal: 87
  835. Fri Aug  9 12:13:55 2019  removing 5256121 relations and 4070407 ideals in 1185714 cliques
  836. Fri Aug  9 12:13:59 2019  commencing in-memory singleton removal
  837. Fri Aug  9 12:14:08 2019  begin with 80911282 relations and 82996424 unique ideals
  838. Fri Aug  9 12:15:37 2019  reduce to 80675170 relations and 78687011 ideals in 8 passes
  839. Fri Aug  9 12:15:37 2019  max relations containing the same ideal: 84
  840. Fri Aug  9 12:16:54 2019  relations with 0 large ideals: 64914
  841. Fri Aug  9 12:16:54 2019  relations with 1 large ideals: 47055
  842. Fri Aug  9 12:16:54 2019  relations with 2 large ideals: 567632
  843. Fri Aug  9 12:16:54 2019  relations with 3 large ideals: 3217574
  844. Fri Aug  9 12:16:54 2019  relations with 4 large ideals: 9928129
  845. Fri Aug  9 12:16:54 2019  relations with 5 large ideals: 18442726
  846. Fri Aug  9 12:16:54 2019  relations with 6 large ideals: 21524738
  847. Fri Aug  9 12:16:54 2019  relations with 7+ large ideals: 26882402
  848. Fri Aug  9 12:16:54 2019  commencing 2-way merge
  849. Fri Aug  9 12:18:11 2019  reduce to 52237094 relation sets and 50248935 unique ideals
  850. Fri Aug  9 12:18:11 2019  commencing full merge
  851. Fri Aug  9 13:20:34 2019  memory use: 2337.9 MB
  852. Fri Aug  9 13:20:34 2019  found 271611 cycles, need 11408135
  853. Fri Aug  9 13:20:34 2019  too few cycles, matrix probably cannot build
  854. Fri Aug  9 13:20:35 2019  
  855. Fri Aug  9 13:20:35 2019  
  856. Fri Aug  9 13:20:35 2019  Msieve v. 1.53 (SVN 993)
  857. Fri Aug  9 13:20:35 2019  random seeds: b3d1ae07 676b1d78
  858. Fri Aug  9 13:20:35 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  859. Fri Aug  9 13:20:37 2019  no P-1/P+1/ECM available, skipping
  860. Fri Aug  9 13:20:37 2019  commencing number field sieve (204-digit input)
  861. Fri Aug  9 13:20:37 2019  R0: 14697715679690864505827555550150426126974976
  862. Fri Aug  9 13:20:37 2019  R1: -9094947017729282379150390625
  863. Fri Aug  9 13:20:37 2019  A0: 5
  864. Fri Aug  9 13:20:37 2019  A1: 0
  865. Fri Aug  9 13:20:37 2019  A2: 0
  866. Fri Aug  9 13:20:37 2019  A3: 0
  867. Fri Aug  9 13:20:37 2019  A4: 0
  868. Fri Aug  9 13:20:37 2019  A5: 0
  869. Fri Aug  9 13:20:37 2019  A6: 12
  870. Fri Aug  9 13:20:37 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  871. Fri Aug  9 13:20:37 2019  
  872. Fri Aug  9 13:20:37 2019  commencing relation filtering
  873. Fri Aug  9 13:20:37 2019  setting target matrix density to 128.0
  874. Fri Aug  9 13:20:37 2019  estimated available RAM is 95375.2 MB
  875. Fri Aug  9 13:20:37 2019  commencing duplicate removal, pass 1
  876.   3 errors
  877. Fri Aug  9 14:38:27 2019  skipped 7 relations with composite factors
  878. Fri Aug  9 14:38:27 2019  found 25854001 hash collisions in 351324602 relations
  879. Fri Aug  9 14:38:48 2019  commencing duplicate removal, pass 2
  880. Fri Aug  9 14:41:27 2019  found 1 duplicates and 351324601 unique relations
  881. Fri Aug  9 14:41:27 2019  memory use: 1257.5 MB
  882. Fri Aug  9 14:41:27 2019  reading ideals above 720000
  883. Fri Aug  9 14:41:28 2019  commencing singleton removal, initial pass
  884. Fri Aug  9 16:08:31 2019  memory use: 11024.0 MB
  885. Fri Aug  9 16:08:31 2019  reading all ideals from disk
  886. Fri Aug  9 16:08:46 2019  memory use: 14489.8 MB
  887. Fri Aug  9 16:09:54 2019  keeping 337769926 ideals with weight <= 200, target excess is 1711435
  888. Fri Aug  9 16:11:17 2019  commencing in-memory singleton removal
  889. Fri Aug  9 16:12:03 2019  begin with 351324601 relations and 337769926 unique ideals
  890. Fri Aug  9 16:21:47 2019  reduce to 212901807 relations and 183813796 ideals in 16 passes
  891. Fri Aug  9 16:21:47 2019  max relations containing the same ideal: 151
  892. Fri Aug  9 16:24:22 2019  removing 14959874 relations and 12959874 ideals in 2000000 cliques
  893. Fri Aug  9 16:24:31 2019  commencing in-memory singleton removal
  894. Fri Aug  9 16:24:54 2019  begin with 197941933 relations and 183813796 unique ideals
  895. Fri Aug  9 16:29:29 2019  reduce to 197064202 relations and 169964595 ideals in 9 passes
  896. Fri Aug  9 16:29:29 2019  max relations containing the same ideal: 145
  897. Fri Aug  9 16:31:51 2019  removing 11193014 relations and 9193014 ideals in 2000000 cliques
  898. Fri Aug  9 16:31:59 2019  commencing in-memory singleton removal
  899. Fri Aug  9 16:32:22 2019  begin with 185871188 relations and 169964595 unique ideals
  900. Fri Aug  9 16:36:37 2019  reduce to 185330982 relations and 160225382 ideals in 9 passes
  901. Fri Aug  9 16:36:37 2019  max relations containing the same ideal: 141
  902. Fri Aug  9 16:38:51 2019  removing 10020744 relations and 8020744 ideals in 2000000 cliques
  903. Fri Aug  9 16:38:58 2019  commencing in-memory singleton removal
  904. Fri Aug  9 16:39:19 2019  begin with 175310238 relations and 160225382 unique ideals
  905. Fri Aug  9 16:43:18 2019  reduce to 174849022 relations and 151738298 ideals in 9 passes
  906. Fri Aug  9 16:43:18 2019  max relations containing the same ideal: 136
  907. Fri Aug  9 16:45:25 2019  removing 9390006 relations and 7390006 ideals in 2000000 cliques
  908. Fri Aug  9 16:45:32 2019  commencing in-memory singleton removal
  909. Fri Aug  9 16:45:52 2019  begin with 165459016 relations and 151738298 unique ideals
  910. Fri Aug  9 16:48:48 2019  reduce to 165034108 relations and 143918596 ideals in 7 passes
  911. Fri Aug  9 16:48:48 2019  max relations containing the same ideal: 130
  912. Fri Aug  9 16:50:48 2019  removing 8979498 relations and 6979498 ideals in 2000000 cliques
  913. Fri Aug  9 16:50:55 2019  commencing in-memory singleton removal
  914. Fri Aug  9 16:51:12 2019  begin with 156054610 relations and 143918596 unique ideals
  915. Fri Aug  9 16:53:56 2019  reduce to 155645281 relations and 136525132 ideals in 7 passes
  916. Fri Aug  9 16:53:56 2019  max relations containing the same ideal: 126
  917. Fri Aug  9 16:55:49 2019  removing 8695908 relations and 6695908 ideals in 2000000 cliques
  918. Fri Aug  9 16:55:56 2019  commencing in-memory singleton removal
  919. Fri Aug  9 16:56:12 2019  begin with 146949373 relations and 136525132 unique ideals
  920. Fri Aug  9 16:59:30 2019  reduce to 146550607 relations and 129425742 ideals in 9 passes
  921. Fri Aug  9 16:59:30 2019  max relations containing the same ideal: 120
  922. Fri Aug  9 17:01:16 2019  removing 8495002 relations and 6495002 ideals in 2000000 cliques
  923. Fri Aug  9 17:01:22 2019  commencing in-memory singleton removal
  924. Fri Aug  9 17:01:38 2019  begin with 138055605 relations and 129425742 unique ideals
  925. Fri Aug  9 17:04:22 2019  reduce to 137656121 relations and 122526369 ideals in 8 passes
  926. Fri Aug  9 17:04:22 2019  max relations containing the same ideal: 116
  927. Fri Aug  9 17:06:04 2019  removing 8336107 relations and 6336107 ideals in 2000000 cliques
  928. Fri Aug  9 17:06:10 2019  commencing in-memory singleton removal
  929. Fri Aug  9 17:06:24 2019  begin with 129320014 relations and 122526369 unique ideals
  930. Fri Aug  9 17:08:37 2019  reduce to 128915530 relations and 115780564 ideals in 7 passes
  931. Fri Aug  9 17:08:37 2019  max relations containing the same ideal: 112
  932. Fri Aug  9 17:10:11 2019  removing 8221397 relations and 6221397 ideals in 2000000 cliques
  933. Fri Aug  9 17:10:16 2019  commencing in-memory singleton removal
  934. Fri Aug  9 17:10:30 2019  begin with 120694133 relations and 115780564 unique ideals
  935. Fri Aug  9 17:12:33 2019  reduce to 120279719 relations and 109139147 ideals in 7 passes
  936. Fri Aug  9 17:12:33 2019  max relations containing the same ideal: 107
  937. Fri Aug  9 17:14:01 2019  removing 8133904 relations and 6133904 ideals in 2000000 cliques
  938. Fri Aug  9 17:14:06 2019  commencing in-memory singleton removal
  939. Fri Aug  9 17:14:19 2019  begin with 112145815 relations and 109139147 unique ideals
  940. Fri Aug  9 17:16:30 2019  reduce to 111718994 relations and 102572135 ideals in 8 passes
  941. Fri Aug  9 17:16:30 2019  max relations containing the same ideal: 104
  942. Fri Aug  9 17:17:53 2019  removing 8069808 relations and 6069808 ideals in 2000000 cliques
  943. Fri Aug  9 17:17:59 2019  commencing in-memory singleton removal
  944. Fri Aug  9 17:18:10 2019  begin with 103649186 relations and 102572135 unique ideals
  945. Fri Aug  9 17:20:23 2019  reduce to 103199811 relations and 96046032 ideals in 9 passes
  946. Fri Aug  9 17:20:23 2019  max relations containing the same ideal: 102
  947. Fri Aug  9 17:21:39 2019  removing 8024153 relations and 6024153 ideals in 2000000 cliques
  948. Fri Aug  9 17:21:44 2019  commencing in-memory singleton removal
  949. Fri Aug  9 17:21:54 2019  begin with 95175658 relations and 96046032 unique ideals
  950. Fri Aug  9 17:23:42 2019  reduce to 94696055 relations and 89534437 ideals in 8 passes
  951. Fri Aug  9 17:23:42 2019  max relations containing the same ideal: 93
  952. Fri Aug  9 17:24:50 2019  removing 8008690 relations and 6008690 ideals in 2000000 cliques
  953. Fri Aug  9 17:24:55 2019  commencing in-memory singleton removal
  954. Fri Aug  9 17:25:05 2019  begin with 86687365 relations and 89534437 unique ideals
  955. Fri Aug  9 17:26:43 2019  reduce to 86167403 relations and 82996424 ideals in 8 passes
  956. Fri Aug  9 17:26:43 2019  max relations containing the same ideal: 87
  957. Fri Aug  9 17:27:47 2019  removing 5256121 relations and 4070407 ideals in 1185714 cliques
  958. Fri Aug  9 17:27:51 2019  commencing in-memory singleton removal
  959. Fri Aug  9 17:27:59 2019  begin with 80911282 relations and 82996424 unique ideals
  960. Fri Aug  9 17:29:29 2019  reduce to 80675170 relations and 78687011 ideals in 8 passes
  961. Fri Aug  9 17:29:29 2019  max relations containing the same ideal: 84
  962. Fri Aug  9 17:30:48 2019  relations with 0 large ideals: 64914
  963. Fri Aug  9 17:30:48 2019  relations with 1 large ideals: 47055
  964. Fri Aug  9 17:30:48 2019  relations with 2 large ideals: 567632
  965. Fri Aug  9 17:30:48 2019  relations with 3 large ideals: 3217574
  966. Fri Aug  9 17:30:48 2019  relations with 4 large ideals: 9928129
  967. Fri Aug  9 17:30:48 2019  relations with 5 large ideals: 18442726
  968. Fri Aug  9 17:30:48 2019  relations with 6 large ideals: 21524738
  969. Fri Aug  9 17:30:48 2019  relations with 7+ large ideals: 26882402
  970. Fri Aug  9 17:30:48 2019  commencing 2-way merge
  971. Fri Aug  9 17:32:05 2019  reduce to 52237094 relation sets and 50248935 unique ideals
  972. Fri Aug  9 17:32:05 2019  commencing full merge
  973. Fri Aug  9 18:28:29 2019  memory use: 2337.9 MB
  974. Fri Aug  9 18:28:29 2019  found 271611 cycles, need 11408135
  975. Fri Aug  9 18:28:29 2019  too few cycles, matrix probably cannot build
  976. Fri Aug  9 23:10:37 2019  
  977. Fri Aug  9 23:10:37 2019  
  978. Fri Aug  9 23:10:37 2019  Msieve v. 1.54 (SVN 1022M)
  979. Fri Aug  9 23:10:37 2019  random seeds: 3eb2f2a4 6e27965c
  980. Fri Aug  9 23:10:37 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  981. Fri Aug  9 23:10:37 2019  no P-1/P+1/ECM available, skipping
  982. Fri Aug  9 23:10:37 2019  commencing number field sieve (204-digit input)
  983. Fri Aug  9 23:10:37 2019  R0: 14697715679690864505827555550150426126974976
  984. Fri Aug  9 23:10:37 2019  R1: -9094947017729282379150390625
  985. Fri Aug  9 23:10:37 2019  A0: 5
  986. Fri Aug  9 23:10:37 2019  A1: 0
  987. Fri Aug  9 23:10:37 2019  A2: 0
  988. Fri Aug  9 23:10:37 2019  A3: 0
  989. Fri Aug  9 23:10:37 2019  A4: 0
  990. Fri Aug  9 23:10:37 2019  A5: 0
  991. Fri Aug  9 23:10:37 2019  A6: 12
  992. Fri Aug  9 23:10:37 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  993. Fri Aug  9 23:10:37 2019  
  994. Fri Aug  9 23:10:37 2019  commencing linear algebra
  995. Fri Aug  9 23:10:39 2019  read 22867135 cycles
  996. Fri Aug  9 23:11:31 2019  cycles contain 79505820 unique relations
  997. Fri Aug  9 23:17:01 2019  read 79505820 relations
  998. Fri Aug  9 23:19:58 2019  using 20 quadratic characters above 4294917295
  999. Fri Aug  9 23:25:37 2019  building initial matrix
  1000. Fri Aug  9 23:40:32 2019  memory use: 10036.7 MB
  1001. Fri Aug  9 23:40:42 2019  read 22867135 cycles
  1002. Fri Aug  9 23:40:45 2019  matrix is 22866958 x 22867135 (11118.6 MB) with weight 3154283879 (137.94/col)
  1003. Fri Aug  9 23:40:45 2019  sparse part has weight 2686013433 (117.46/col)
  1004. Fri Aug  9 23:46:45 2019  filtering completed in 2 passes
  1005. Fri Aug  9 23:46:49 2019  matrix is 22866762 x 22866937 (11118.6 MB) with weight 3154277895 (137.94/col)
  1006. Fri Aug  9 23:46:49 2019  sparse part has weight 2686011753 (117.46/col)
  1007. Fri Aug  9 23:47:48 2019  matrix starts at (0, 0)
  1008. Fri Aug  9 23:47:51 2019  matrix is 22866762 x 22866937 (11118.6 MB) with weight 3154277895 (137.94/col)
  1009. Fri Aug  9 23:47:51 2019  sparse part has weight 2686011753 (117.46/col)
  1010. Fri Aug  9 23:47:51 2019  saving the first 112 matrix rows for later
  1011. Fri Aug  9 23:47:54 2019  matrix includes 128 packed rows
  1012. Fri Aug  9 23:48:00 2019  matrix is 22866650 x 22866937 (10380.8 MB) with weight 2575734311 (112.64/col)
  1013. Fri Aug  9 23:48:00 2019  sparse part has weight 2446859190 (107.00/col)
  1014. Fri Aug  9 23:48:00 2019  using block size 8192 and superblock size 737280 for processor cache size 15360 kB
  1015. Fri Aug  9 23:49:19 2019  commencing Lanczos iteration (6 threads)
  1016. Fri Aug  9 23:49:19 2019  memory use: 11487.0 MB
  1017. Fri Aug  9 23:50:23 2019  linear algebra at 0.0%, ETA 245h14m
  1018. Fri Aug  9 23:50:43 2019  checkpointing every 100000 dimensions
  1019. Tue Aug 20 02:55:06 2019  lanczos halted after 179716 iterations (dim = 22866650)
  1020. Tue Aug 20 02:55:41 2019  recovered 42 nontrivial dependencies
  1021. Tue Aug 20 02:55:42 2019  BLanczosTime: 877505
  1022. Tue Aug 20 02:55:42 2019  elapsed time 243:45:05
  1023. Tue Aug 20 02:55:43 2019  
  1024. Tue Aug 20 02:55:43 2019  
  1025. Tue Aug 20 02:55:43 2019  Msieve v. 1.54 (SVN 1022M)
  1026. Tue Aug 20 02:55:43 2019  random seeds: aa9fb543 9384725c
  1027. Tue Aug 20 02:55:43 2019  factoring 517323359015376556399820175514330475803457057652484915093937813415890946850333965871964324226939729705516068252133786483526892863398088495135487336975446897264381988660201914086402221333804410145658738797 (204 digits)
  1028. Tue Aug 20 02:55:43 2019  no P-1/P+1/ECM available, skipping
  1029. Tue Aug 20 02:55:43 2019  commencing number field sieve (204-digit input)
  1030. Tue Aug 20 02:55:43 2019  R0: 14697715679690864505827555550150426126974976
  1031. Tue Aug 20 02:55:43 2019  R1: -9094947017729282379150390625
  1032. Tue Aug 20 02:55:43 2019  A0: 5
  1033. Tue Aug 20 02:55:43 2019  A1: 0
  1034. Tue Aug 20 02:55:43 2019  A2: 0
  1035. Tue Aug 20 02:55:43 2019  A3: 0
  1036. Tue Aug 20 02:55:43 2019  A4: 0
  1037. Tue Aug 20 02:55:43 2019  A5: 0
  1038. Tue Aug 20 02:55:43 2019  A6: 12
  1039. Tue Aug 20 02:55:43 2019  skew 0.86, size 5.483e-13, alpha 2.121, combined = 7.568e-14 rroots = 0
  1040. Tue Aug 20 02:55:43 2019  
  1041. Tue Aug 20 02:55:43 2019  commencing square root phase
  1042. Tue Aug 20 02:55:43 2019  reading relations for dependency 1
  1043. Tue Aug 20 02:55:45 2019  read 11433511 cycles
  1044. Tue Aug 20 02:56:10 2019  cycles contain 39754178 unique relations
  1045. Tue Aug 20 02:59:04 2019  read 39754178 relations
  1046. Tue Aug 20 03:01:59 2019  multiplying 39754178 relations
  1047. Tue Aug 20 03:37:12 2019  multiply complete, coefficients have about 1154.63 million bits
  1048. Tue Aug 20 03:37:16 2019  initial square root is modulo 151153
  1049. Tue Aug 20 04:13:19 2019  sqrtTime: 4656
  1050. Tue Aug 20 04:13:19 2019  p76 factor: 5923334167524735548019286493847704785301886049581845877525049173034106462389
  1051. Tue Aug 20 04:13:19 2019  p128 factor: 87336514264491939937034412687195861989839834986427931983576271615217061566001267329115513414182033852166516435925001126457459673
  1052. Tue Aug 20 04:13:19 2019  elapsed time 01:17:36
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