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gchilders
Aug 25th, 2026
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  1. Mon Aug 24 13:00:27 2026
  2. Mon Aug 24 13:00:27 2026
  3. Mon Aug 24 13:00:27 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Aug 24 13:00:27 2026 random seeds: ddf93c62 bcbdc164
  5. Mon Aug 24 13:00:27 2026 MPI process 0 of 1
  6. Mon Aug 24 13:00:27 2026 Using 46 OpenMP threads
  7. Mon Aug 24 13:00:27 2026 factoring 209135395273240871889939950280862449123430333500559130378850760956618761615216758247641823457246302394331326316868141460819838446483163974233198709694122641933622273210396175669365919503561660148014357356849093807893856580080367895721 (234 digits)
  8. Mon Aug 24 13:00:28 2026 no P-1/P+1/ECM available, skipping
  9. Mon Aug 24 13:00:28 2026 commencing number field sieve (234-digit input)
  10. Mon Aug 24 13:00:28 2026 R0: 304771832349356467024782768081684421938229928737
  11. Mon Aug 24 13:00:28 2026 R1: -2158461433970855355667867864833804893945856
  12. Mon Aug 24 13:00:28 2026 A0: -1
  13. Mon Aug 24 13:00:28 2026 A1: -3
  14. Mon Aug 24 13:00:28 2026 A2: 6
  15. Mon Aug 24 13:00:28 2026 A3: 4
  16. Mon Aug 24 13:00:28 2026 A4: -5
  17. Mon Aug 24 13:00:28 2026 A5: -1
  18. Mon Aug 24 13:00:28 2026 A6: 1
  19. Mon Aug 24 13:00:28 2026 skew 1.39, size 6.108e-14, alpha 3.126, combined = 1.334e-14 rroots = 6
  20. Mon Aug 24 13:00:28 2026
  21. Mon Aug 24 13:00:28 2026 commencing relation filtering
  22. Mon Aug 24 13:00:28 2026 setting target matrix density to 110.0
  23. Mon Aug 24 13:00:28 2026 estimated available RAM is 192068.7 MB
  24. Mon Aug 24 13:00:28 2026 commencing duplicate removal, pass 1
  25. Mon Aug 24 13:11:03 2026 found 223342199 hash collisions in 938845712 relations
  26. Mon Aug 24 13:11:10 2026 added 2438358 free relations
  27. Mon Aug 24 13:11:10 2026 commencing duplicate removal, pass 2
  28. Mon Aug 24 13:19:27 2026 found 249890342 duplicates and 691393728 unique relations
  29. Mon Aug 24 13:19:27 2026 memory use: 5798.0 MB
  30. Mon Aug 24 13:19:27 2026 reading ideals above 564985856
  31. Mon Aug 24 13:19:27 2026 commencing singleton removal, initial pass
  32. Mon Aug 24 13:32:46 2026 memory use: 11024.0 MB
  33. Mon Aug 24 13:32:46 2026 reading all ideals from disk
  34. Mon Aug 24 13:32:59 2026 memory use: 17171.3 MB
  35. Mon Aug 24 13:33:29 2026 commencing in-memory singleton removal
  36. Mon Aug 24 13:33:32 2026 begin with 691393728 relations and 575450837 unique ideals
  37. Mon Aug 24 13:33:54 2026 reduce to 439800699 relations and 299080316 ideals in 16 passes
  38. Mon Aug 24 13:33:54 2026 max relations containing the same ideal: 33
  39. Mon Aug 24 13:34:08 2026 reading ideals above 720000
  40. Mon Aug 24 13:34:08 2026 commencing singleton removal, initial pass
  41. Mon Aug 24 13:51:16 2026 memory use: 11024.0 MB
  42. Mon Aug 24 13:51:16 2026 reading all ideals from disk
  43. Mon Aug 24 13:51:33 2026 memory use: 22506.7 MB
  44. Mon Aug 24 13:52:31 2026 keeping 355946791 ideals with weight <= 200, target excess is 2305627
  45. Mon Aug 24 13:53:34 2026 commencing in-memory singleton removal
  46. Mon Aug 24 13:53:39 2026 begin with 439800699 relations and 355946791 unique ideals
  47. Mon Aug 24 13:53:58 2026 reduce to 439739555 relations and 355885646 ideals in 9 passes
  48. Mon Aug 24 13:53:58 2026 max relations containing the same ideal: 200
  49. Mon Aug 24 13:56:12 2026 removing 15149094 relations and 13149094 ideals in 2000000 cliques
  50. Mon Aug 24 13:56:27 2026 commencing in-memory singleton removal
  51. Mon Aug 24 13:56:32 2026 begin with 424590461 relations and 355885646 unique ideals
  52. Mon Aug 24 13:56:47 2026 reduce to 424193826 relations and 342337255 ideals in 8 passes
  53. Mon Aug 24 13:56:47 2026 max relations containing the same ideal: 200
  54. Mon Aug 24 13:58:50 2026 removing 11400544 relations and 9400544 ideals in 2000000 cliques
  55. Mon Aug 24 13:59:03 2026 commencing in-memory singleton removal
  56. Mon Aug 24 13:59:08 2026 begin with 412793282 relations and 342337255 unique ideals
  57. Mon Aug 24 13:59:21 2026 reduce to 412546784 relations and 332688853 ideals in 7 passes
  58. Mon Aug 24 13:59:21 2026 max relations containing the same ideal: 199
  59. Mon Aug 24 14:01:30 2026 removing 10205552 relations and 8205552 ideals in 2000000 cliques
  60. Mon Aug 24 14:01:42 2026 commencing in-memory singleton removal
  61. Mon Aug 24 14:01:46 2026 begin with 402341232 relations and 332688853 unique ideals
  62. Mon Aug 24 14:01:59 2026 reduce to 402133964 relations and 324274962 ideals in 7 passes
  63. Mon Aug 24 14:01:59 2026 max relations containing the same ideal: 197
  64. Mon Aug 24 14:03:55 2026 removing 9524165 relations and 7524165 ideals in 2000000 cliques
  65. Mon Aug 24 14:04:07 2026 commencing in-memory singleton removal
  66. Mon Aug 24 14:04:11 2026 begin with 392609799 relations and 324274962 unique ideals
  67. Mon Aug 24 14:04:25 2026 reduce to 392422993 relations and 316562988 ideals in 8 passes
  68. Mon Aug 24 14:04:25 2026 max relations containing the same ideal: 194
  69. Mon Aug 24 14:06:11 2026 removing 9061790 relations and 7061790 ideals in 2000000 cliques
  70. Mon Aug 24 14:06:22 2026 commencing in-memory singleton removal
  71. Mon Aug 24 14:06:26 2026 begin with 383361203 relations and 316562988 unique ideals
  72. Mon Aug 24 14:06:37 2026 reduce to 383185905 relations and 309324972 ideals in 6 passes
  73. Mon Aug 24 14:06:37 2026 max relations containing the same ideal: 193
  74. Mon Aug 24 14:08:18 2026 removing 8725588 relations and 6725588 ideals in 2000000 cliques
  75. Mon Aug 24 14:08:29 2026 commencing in-memory singleton removal
  76. Mon Aug 24 14:08:33 2026 begin with 374460317 relations and 309324972 unique ideals
  77. Mon Aug 24 14:08:44 2026 reduce to 374293522 relations and 302431715 ideals in 7 passes
  78. Mon Aug 24 14:08:44 2026 max relations containing the same ideal: 191
  79. Mon Aug 24 14:10:22 2026 removing 8463631 relations and 6463631 ideals in 2000000 cliques
  80. Mon Aug 24 14:10:32 2026 commencing in-memory singleton removal
  81. Mon Aug 24 14:10:36 2026 begin with 365829891 relations and 302431715 unique ideals
  82. Mon Aug 24 14:10:47 2026 reduce to 365668606 relations and 295805937 ideals in 7 passes
  83. Mon Aug 24 14:10:47 2026 max relations containing the same ideal: 187
  84. Mon Aug 24 14:12:21 2026 removing 8256873 relations and 6256873 ideals in 2000000 cliques
  85. Mon Aug 24 14:12:31 2026 commencing in-memory singleton removal
  86. Mon Aug 24 14:12:35 2026 begin with 357411733 relations and 295805937 unique ideals
  87. Mon Aug 24 14:12:45 2026 reduce to 357256242 relations and 289392733 ideals in 7 passes
  88. Mon Aug 24 14:12:45 2026 max relations containing the same ideal: 186
  89. Mon Aug 24 14:14:19 2026 removing 8085579 relations and 6085579 ideals in 2000000 cliques
  90. Mon Aug 24 14:14:30 2026 commencing in-memory singleton removal
  91. Mon Aug 24 14:14:34 2026 begin with 349170663 relations and 289392733 unique ideals
  92. Mon Aug 24 14:14:43 2026 reduce to 349018055 relations and 283153733 ideals in 6 passes
  93. Mon Aug 24 14:14:43 2026 max relations containing the same ideal: 184
  94. Mon Aug 24 14:16:13 2026 removing 7946176 relations and 5946176 ideals in 2000000 cliques
  95. Mon Aug 24 14:16:23 2026 commencing in-memory singleton removal
  96. Mon Aug 24 14:16:27 2026 begin with 341071879 relations and 283153733 unique ideals
  97. Mon Aug 24 14:16:36 2026 reduce to 340920718 relations and 277055544 ideals in 6 passes
  98. Mon Aug 24 14:16:36 2026 max relations containing the same ideal: 183
  99. Mon Aug 24 14:18:05 2026 removing 7831642 relations and 5831642 ideals in 2000000 cliques
  100. Mon Aug 24 14:18:15 2026 commencing in-memory singleton removal
  101. Mon Aug 24 14:18:19 2026 begin with 333089076 relations and 277055544 unique ideals
  102. Mon Aug 24 14:18:28 2026 reduce to 332938689 relations and 271072685 ideals in 7 passes
  103. Mon Aug 24 14:18:28 2026 max relations containing the same ideal: 179
  104. Mon Aug 24 14:19:54 2026 removing 7729276 relations and 5729276 ideals in 2000000 cliques
  105. Mon Aug 24 14:20:04 2026 commencing in-memory singleton removal
  106. Mon Aug 24 14:20:07 2026 begin with 325209413 relations and 271072685 unique ideals
  107. Mon Aug 24 14:20:16 2026 reduce to 325060079 relations and 265193216 ideals in 6 passes
  108. Mon Aug 24 14:20:16 2026 max relations containing the same ideal: 177
  109. Mon Aug 24 14:21:37 2026 removing 7646634 relations and 5646634 ideals in 2000000 cliques
  110. Mon Aug 24 14:21:46 2026 commencing in-memory singleton removal
  111. Mon Aug 24 14:21:50 2026 begin with 317413445 relations and 265193216 unique ideals
  112. Mon Aug 24 14:21:58 2026 reduce to 317263734 relations and 259395925 ideals in 6 passes
  113. Mon Aug 24 14:21:58 2026 max relations containing the same ideal: 174
  114. Mon Aug 24 14:23:18 2026 removing 7574492 relations and 5574492 ideals in 2000000 cliques
  115. Mon Aug 24 14:23:27 2026 commencing in-memory singleton removal
  116. Mon Aug 24 14:23:30 2026 begin with 309689242 relations and 259395925 unique ideals
  117. Mon Aug 24 14:23:39 2026 reduce to 309538851 relations and 253670175 ideals in 6 passes
  118. Mon Aug 24 14:23:39 2026 max relations containing the same ideal: 172
  119. Mon Aug 24 14:24:57 2026 removing 7513536 relations and 5513536 ideals in 2000000 cliques
  120. Mon Aug 24 14:25:05 2026 commencing in-memory singleton removal
  121. Mon Aug 24 14:25:09 2026 begin with 302025315 relations and 253670175 unique ideals
  122. Mon Aug 24 14:25:17 2026 reduce to 301874164 relations and 248004555 ideals in 6 passes
  123. Mon Aug 24 14:25:17 2026 max relations containing the same ideal: 169
  124. Mon Aug 24 14:26:32 2026 removing 7460298 relations and 5460298 ideals in 2000000 cliques
  125. Mon Aug 24 14:26:41 2026 commencing in-memory singleton removal
  126. Mon Aug 24 14:26:44 2026 begin with 294413866 relations and 248004555 unique ideals
  127. Mon Aug 24 14:26:53 2026 reduce to 294262480 relations and 242391853 ideals in 7 passes
  128. Mon Aug 24 14:26:53 2026 max relations containing the same ideal: 167
  129. Mon Aug 24 14:28:07 2026 removing 7412245 relations and 5412245 ideals in 2000000 cliques
  130. Mon Aug 24 14:28:15 2026 commencing in-memory singleton removal
  131. Mon Aug 24 14:28:18 2026 begin with 286850235 relations and 242391853 unique ideals
  132. Mon Aug 24 14:28:26 2026 reduce to 286697121 relations and 236825422 ideals in 7 passes
  133. Mon Aug 24 14:28:26 2026 max relations containing the same ideal: 164
  134. Mon Aug 24 14:29:40 2026 removing 7373028 relations and 5373028 ideals in 2000000 cliques
  135. Mon Aug 24 14:29:48 2026 commencing in-memory singleton removal
  136. Mon Aug 24 14:29:51 2026 begin with 279324093 relations and 236825422 unique ideals
  137. Mon Aug 24 14:29:58 2026 reduce to 279169523 relations and 231296794 ideals in 6 passes
  138. Mon Aug 24 14:29:58 2026 max relations containing the same ideal: 161
  139. Mon Aug 24 14:31:10 2026 removing 7344928 relations and 5344928 ideals in 2000000 cliques
  140. Mon Aug 24 14:31:18 2026 commencing in-memory singleton removal
  141. Mon Aug 24 14:31:21 2026 begin with 271824595 relations and 231296794 unique ideals
  142. Mon Aug 24 14:31:28 2026 reduce to 271667796 relations and 225793965 ideals in 6 passes
  143. Mon Aug 24 14:31:28 2026 max relations containing the same ideal: 158
  144. Mon Aug 24 14:32:40 2026 removing 7315939 relations and 5315939 ideals in 2000000 cliques
  145. Mon Aug 24 14:32:47 2026 commencing in-memory singleton removal
  146. Mon Aug 24 14:32:50 2026 begin with 264351857 relations and 225793965 unique ideals
  147. Mon Aug 24 14:32:57 2026 reduce to 264191512 relations and 220316491 ideals in 6 passes
  148. Mon Aug 24 14:32:57 2026 max relations containing the same ideal: 155
  149. Mon Aug 24 14:34:05 2026 removing 7297736 relations and 5297736 ideals in 2000000 cliques
  150. Mon Aug 24 14:34:13 2026 commencing in-memory singleton removal
  151. Mon Aug 24 14:34:16 2026 begin with 256893776 relations and 220316491 unique ideals
  152. Mon Aug 24 14:34:22 2026 reduce to 256731119 relations and 214854855 ideals in 6 passes
  153. Mon Aug 24 14:34:22 2026 max relations containing the same ideal: 151
  154. Mon Aug 24 14:35:29 2026 removing 7278876 relations and 5278876 ideals in 2000000 cliques
  155. Mon Aug 24 14:35:36 2026 commencing in-memory singleton removal
  156. Mon Aug 24 14:35:39 2026 begin with 249452243 relations and 214854855 unique ideals
  157. Mon Aug 24 14:35:45 2026 reduce to 249286804 relations and 209409252 ideals in 6 passes
  158. Mon Aug 24 14:35:45 2026 max relations containing the same ideal: 150
  159. Mon Aug 24 14:36:50 2026 removing 7262845 relations and 5262845 ideals in 2000000 cliques
  160. Mon Aug 24 14:36:57 2026 commencing in-memory singleton removal
  161. Mon Aug 24 14:37:00 2026 begin with 242023959 relations and 209409252 unique ideals
  162. Mon Aug 24 14:37:07 2026 reduce to 241854714 relations and 203975765 ideals in 7 passes
  163. Mon Aug 24 14:37:07 2026 max relations containing the same ideal: 149
  164. Mon Aug 24 14:38:10 2026 removing 7255697 relations and 5255697 ideals in 2000000 cliques
  165. Mon Aug 24 14:38:17 2026 commencing in-memory singleton removal
  166. Mon Aug 24 14:38:20 2026 begin with 234599017 relations and 203975765 unique ideals
  167. Mon Aug 24 14:38:26 2026 reduce to 234426014 relations and 198545600 ideals in 6 passes
  168. Mon Aug 24 14:38:26 2026 max relations containing the same ideal: 148
  169. Mon Aug 24 14:39:27 2026 removing 7251681 relations and 5251681 ideals in 2000000 cliques
  170. Mon Aug 24 14:39:34 2026 commencing in-memory singleton removal
  171. Mon Aug 24 14:39:36 2026 begin with 227174333 relations and 198545600 unique ideals
  172. Mon Aug 24 14:39:42 2026 reduce to 226998808 relations and 193116847 ideals in 6 passes
  173. Mon Aug 24 14:39:42 2026 max relations containing the same ideal: 141
  174. Mon Aug 24 14:40:42 2026 removing 7243707 relations and 5243707 ideals in 2000000 cliques
  175. Mon Aug 24 14:40:48 2026 commencing in-memory singleton removal
  176. Mon Aug 24 14:40:51 2026 begin with 219755101 relations and 193116847 unique ideals
  177. Mon Aug 24 14:40:56 2026 reduce to 219574888 relations and 187691370 ideals in 6 passes
  178. Mon Aug 24 14:40:56 2026 max relations containing the same ideal: 138
  179. Mon Aug 24 14:41:53 2026 removing 7245824 relations and 5245824 ideals in 2000000 cliques
  180. Mon Aug 24 14:41:59 2026 commencing in-memory singleton removal
  181. Mon Aug 24 14:42:02 2026 begin with 212329064 relations and 187691370 unique ideals
  182. Mon Aug 24 14:42:08 2026 reduce to 212142406 relations and 182257176 ideals in 7 passes
  183. Mon Aug 24 14:42:08 2026 max relations containing the same ideal: 136
  184. Mon Aug 24 14:43:03 2026 removing 7246316 relations and 5246316 ideals in 2000000 cliques
  185. Mon Aug 24 14:43:09 2026 commencing in-memory singleton removal
  186. Mon Aug 24 14:43:11 2026 begin with 204896090 relations and 182257176 unique ideals
  187. Mon Aug 24 14:43:17 2026 reduce to 204705231 relations and 176818203 ideals in 6 passes
  188. Mon Aug 24 14:43:17 2026 max relations containing the same ideal: 134
  189. Mon Aug 24 14:44:11 2026 removing 7254286 relations and 5254286 ideals in 2000000 cliques
  190. Mon Aug 24 14:44:17 2026 commencing in-memory singleton removal
  191. Mon Aug 24 14:44:19 2026 begin with 197450945 relations and 176818203 unique ideals
  192. Mon Aug 24 14:44:24 2026 reduce to 197255075 relations and 171366217 ideals in 6 passes
  193. Mon Aug 24 14:44:24 2026 max relations containing the same ideal: 132
  194. Mon Aug 24 14:45:16 2026 removing 7264931 relations and 5264931 ideals in 2000000 cliques
  195. Mon Aug 24 14:45:22 2026 commencing in-memory singleton removal
  196. Mon Aug 24 14:45:24 2026 begin with 189990144 relations and 171366217 unique ideals
  197. Mon Aug 24 14:45:29 2026 reduce to 189787356 relations and 165896481 ideals in 6 passes
  198. Mon Aug 24 14:45:29 2026 max relations containing the same ideal: 126
  199. Mon Aug 24 14:46:20 2026 removing 7273408 relations and 5273408 ideals in 2000000 cliques
  200. Mon Aug 24 14:46:25 2026 commencing in-memory singleton removal
  201. Mon Aug 24 14:46:27 2026 begin with 182513948 relations and 165896481 unique ideals
  202. Mon Aug 24 14:46:32 2026 reduce to 182303699 relations and 160410607 ideals in 6 passes
  203. Mon Aug 24 14:46:32 2026 max relations containing the same ideal: 125
  204. Mon Aug 24 14:47:21 2026 removing 7292606 relations and 5292606 ideals in 2000000 cliques
  205. Mon Aug 24 14:47:26 2026 commencing in-memory singleton removal
  206. Mon Aug 24 14:47:28 2026 begin with 175011093 relations and 160410607 unique ideals
  207. Mon Aug 24 14:47:33 2026 reduce to 174793015 relations and 154897647 ideals in 7 passes
  208. Mon Aug 24 14:47:33 2026 max relations containing the same ideal: 121
  209. Mon Aug 24 14:48:20 2026 removing 7308987 relations and 5308987 ideals in 2000000 cliques
  210. Mon Aug 24 14:48:26 2026 commencing in-memory singleton removal
  211. Mon Aug 24 14:48:28 2026 begin with 167484028 relations and 154897647 unique ideals
  212. Mon Aug 24 14:48:32 2026 reduce to 167258566 relations and 149360636 ideals in 6 passes
  213. Mon Aug 24 14:48:32 2026 max relations containing the same ideal: 118
  214. Mon Aug 24 14:49:17 2026 removing 7330250 relations and 5330250 ideals in 2000000 cliques
  215. Mon Aug 24 14:49:23 2026 commencing in-memory singleton removal
  216. Mon Aug 24 14:49:24 2026 begin with 159928316 relations and 149360636 unique ideals
  217. Mon Aug 24 14:49:29 2026 reduce to 159693085 relations and 143792588 ideals in 8 passes
  218. Mon Aug 24 14:49:29 2026 max relations containing the same ideal: 113
  219. Mon Aug 24 14:50:16 2026 removing 7353077 relations and 5353077 ideals in 2000000 cliques
  220. Mon Aug 24 14:50:22 2026 commencing in-memory singleton removal
  221. Mon Aug 24 14:50:24 2026 begin with 152340008 relations and 143792588 unique ideals
  222. Mon Aug 24 14:50:28 2026 reduce to 152093728 relations and 138190395 ideals in 6 passes
  223. Mon Aug 24 14:50:28 2026 max relations containing the same ideal: 108
  224. Mon Aug 24 14:51:16 2026 removing 7382077 relations and 5382077 ideals in 2000000 cliques
  225. Mon Aug 24 14:51:22 2026 commencing in-memory singleton removal
  226. Mon Aug 24 14:51:23 2026 begin with 144711651 relations and 138190395 unique ideals
  227. Mon Aug 24 14:51:27 2026 reduce to 144452114 relations and 132545758 ideals in 7 passes
  228. Mon Aug 24 14:51:27 2026 max relations containing the same ideal: 105
  229. Mon Aug 24 14:52:16 2026 removing 7418855 relations and 5418855 ideals in 2000000 cliques
  230. Mon Aug 24 14:52:20 2026 commencing in-memory singleton removal
  231. Mon Aug 24 14:52:22 2026 begin with 137033259 relations and 132545758 unique ideals
  232. Mon Aug 24 14:52:26 2026 reduce to 136758678 relations and 126848945 ideals in 6 passes
  233. Mon Aug 24 14:52:26 2026 max relations containing the same ideal: 100
  234. Mon Aug 24 14:53:10 2026 removing 7461256 relations and 5461256 ideals in 2000000 cliques
  235. Mon Aug 24 14:53:15 2026 commencing in-memory singleton removal
  236. Mon Aug 24 14:53:17 2026 begin with 129297422 relations and 126848945 unique ideals
  237. Mon Aug 24 14:53:20 2026 reduce to 129006582 relations and 121092995 ideals in 7 passes
  238. Mon Aug 24 14:53:20 2026 max relations containing the same ideal: 96
  239. Mon Aug 24 14:54:00 2026 removing 7503698 relations and 5503698 ideals in 2000000 cliques
  240. Mon Aug 24 14:54:04 2026 commencing in-memory singleton removal
  241. Mon Aug 24 14:54:05 2026 begin with 121502884 relations and 121092995 unique ideals
  242. Mon Aug 24 14:54:09 2026 reduce to 121187716 relations and 115269946 ideals in 6 passes
  243. Mon Aug 24 14:54:09 2026 max relations containing the same ideal: 91
  244. Mon Aug 24 14:54:44 2026 removing 7560119 relations and 5560119 ideals in 2000000 cliques
  245. Mon Aug 24 14:54:48 2026 commencing in-memory singleton removal
  246. Mon Aug 24 14:54:50 2026 begin with 113627597 relations and 115269946 unique ideals
  247. Mon Aug 24 14:54:53 2026 reduce to 113285678 relations and 109363050 ideals in 7 passes
  248. Mon Aug 24 14:54:53 2026 max relations containing the same ideal: 87
  249. Mon Aug 24 14:55:24 2026 removing 5181040 relations and 3932940 ideals in 1248100 cliques
  250. Mon Aug 24 14:55:28 2026 commencing in-memory singleton removal
  251. Mon Aug 24 14:55:29 2026 begin with 108104638 relations and 109363050 unique ideals
  252. Mon Aug 24 14:55:32 2026 reduce to 107938682 relations and 105262627 ideals in 7 passes
  253. Mon Aug 24 14:55:32 2026 max relations containing the same ideal: 85
  254. Mon Aug 24 14:56:18 2026 relations with 0 large ideals: 176372
  255. Mon Aug 24 14:56:18 2026 relations with 1 large ideals: 48436
  256. Mon Aug 24 14:56:18 2026 relations with 2 large ideals: 556635
  257. Mon Aug 24 14:56:18 2026 relations with 3 large ideals: 3397392
  258. Mon Aug 24 14:56:18 2026 relations with 4 large ideals: 11279201
  259. Mon Aug 24 14:56:18 2026 relations with 5 large ideals: 22546468
  260. Mon Aug 24 14:56:18 2026 relations with 6 large ideals: 28400957
  261. Mon Aug 24 14:56:18 2026 relations with 7+ large ideals: 41533221
  262. Mon Aug 24 14:56:18 2026 commencing 2-way merge
  263. Mon Aug 24 14:57:06 2026 reduce to 70308567 relation sets and 67632512 unique ideals
  264. Mon Aug 24 14:57:06 2026 commencing full merge
  265. Mon Aug 24 15:17:29 2026 memory use: 9073.4 MB
  266. Mon Aug 24 15:17:35 2026 found 33158404 cycles, need 32852712
  267. Mon Aug 24 15:17:47 2026 weight of 32852712 cycles is about 3613800029 (110.00/cycle)
  268. Mon Aug 24 15:17:47 2026 distribution of cycle lengths:
  269. Mon Aug 24 15:17:47 2026 1 relations: 1911555
  270. Mon Aug 24 15:17:47 2026 2 relations: 2283907
  271. Mon Aug 24 15:17:47 2026 3 relations: 2588722
  272. Mon Aug 24 15:17:47 2026 4 relations: 2627783
  273. Mon Aug 24 15:17:47 2026 5 relations: 2653806
  274. Mon Aug 24 15:17:47 2026 6 relations: 2606461
  275. Mon Aug 24 15:17:47 2026 7 relations: 2506209
  276. Mon Aug 24 15:17:47 2026 8 relations: 2370490
  277. Mon Aug 24 15:17:47 2026 9 relations: 2193143
  278. Mon Aug 24 15:17:47 2026 10+ relations: 11110636
  279. Mon Aug 24 15:17:47 2026 heaviest cycle: 28 relations
  280. Mon Aug 24 15:17:56 2026 commencing cycle optimization
  281. Mon Aug 24 15:19:00 2026 start with 259913923 relations
  282. Mon Aug 24 15:26:41 2026 pruned 9893398 relations
  283. Mon Aug 24 15:26:41 2026 memory use: 7164.8 MB
  284. Mon Aug 24 15:26:41 2026 distribution of cycle lengths:
  285. Mon Aug 24 15:26:41 2026 1 relations: 1911555
  286. Mon Aug 24 15:26:41 2026 2 relations: 2333207
  287. Mon Aug 24 15:26:41 2026 3 relations: 2688330
  288. Mon Aug 24 15:26:41 2026 4 relations: 2726671
  289. Mon Aug 24 15:26:41 2026 5 relations: 2772036
  290. Mon Aug 24 15:26:41 2026 6 relations: 2712350
  291. Mon Aug 24 15:26:41 2026 7 relations: 2616220
  292. Mon Aug 24 15:26:41 2026 8 relations: 2458785
  293. Mon Aug 24 15:26:41 2026 9 relations: 2268155
  294. Mon Aug 24 15:26:41 2026 10+ relations: 10365403
  295. Mon Aug 24 15:26:41 2026 heaviest cycle: 27 relations
  296. Mon Aug 24 15:27:43 2026 RelProcTime: 8835
  297. Mon Aug 24 15:27:43 2026 elapsed time 02:27:16
  298. Mon Aug 24 15:27:44 2026
  299. Mon Aug 24 15:27:44 2026
  300. Mon Aug 24 15:27:44 2026 Msieve v. 1.54 (SVN Unversioned directory)
  301. Mon Aug 24 15:27:44 2026 random seeds: d2fe4689 e6d5d0e8
  302. Mon Aug 24 15:27:44 2026 MPI process 0 of 1
  303. Mon Aug 24 15:27:44 2026 Using 46 OpenMP threads
  304. Mon Aug 24 15:27:44 2026 factoring 209135395273240871889939950280862449123430333500559130378850760956618761615216758247641823457246302394331326316868141460819838446483163974233198709694122641933622273210396175669365919503561660148014357356849093807893856580080367895721 (234 digits)
  305. Mon Aug 24 15:27:45 2026 no P-1/P+1/ECM available, skipping
  306. Mon Aug 24 15:27:45 2026 commencing number field sieve (234-digit input)
  307. Mon Aug 24 15:27:45 2026 R0: 304771832349356467024782768081684421938229928737
  308. Mon Aug 24 15:27:45 2026 R1: -2158461433970855355667867864833804893945856
  309. Mon Aug 24 15:27:45 2026 A0: -1
  310. Mon Aug 24 15:27:45 2026 A1: -3
  311. Mon Aug 24 15:27:45 2026 A2: 6
  312. Mon Aug 24 15:27:45 2026 A3: 4
  313. Mon Aug 24 15:27:45 2026 A4: -5
  314. Mon Aug 24 15:27:45 2026 A5: -1
  315. Mon Aug 24 15:27:45 2026 A6: 1
  316. Mon Aug 24 15:27:45 2026 skew 1.39, size 6.108e-14, alpha 3.126, combined = 1.334e-14 rroots = 6
  317. Mon Aug 24 15:27:45 2026
  318. Mon Aug 24 15:27:45 2026 commencing linear algebra
  319. Mon Aug 24 15:27:45 2026 using VBITS=128
  320. Mon Aug 24 15:27:45 2026 stopping after matrix build
  321. Mon Aug 24 15:27:45 2026 initialized process (0,0) of 1 x 1 grid
  322. Mon Aug 24 15:27:49 2026 read 32852712 cycles
  323. Mon Aug 24 15:29:08 2026 cycles contain 106590539 unique relations
  324. Mon Aug 24 15:30:33 2026 read 106590539 relations
  325. Mon Aug 24 15:30:41 2026 using 20 quadratic characters above 4294917295
  326. Mon Aug 24 15:30:54 2026 building initial matrix
  327. Mon Aug 24 15:51:11 2026 memory use: 13363.2 MB
  328. Mon Aug 24 15:51:43 2026 read 32852712 cycles
  329. Mon Aug 24 15:51:47 2026 matrix is 32852534 x 32852712 (14307.5 MB) with weight 4043978322 (123.09/col)
  330. Mon Aug 24 15:51:47 2026 sparse part has weight 3422101674 (104.16/col)
  331. Mon Aug 24 15:59:02 2026 filtering completed in 2 passes
  332. Mon Aug 24 15:59:07 2026 matrix is 32850789 x 32850963 (14307.4 MB) with weight 4043926170 (123.10/col)
  333. Mon Aug 24 15:59:07 2026 sparse part has weight 3422081710 (104.17/col)
  334. Mon Aug 24 16:00:40 2026 BLanczosTime: 1975
  335. Mon Aug 24 16:00:40 2026 elapsed time 00:32:56
  336. Mon Aug 24 16:02:25 2026
  337. Mon Aug 24 16:02:25 2026
  338. Mon Aug 24 16:02:25 2026 Msieve v. 1.54 (SVN Unversioned directory)
  339. Mon Aug 24 16:02:25 2026 random seeds: fc2335d0 7fa9e824
  340. Mon Aug 24 16:02:25 2026 MPI process 0 of 2
  341. Mon Aug 24 16:02:25 2026 Using 6 OpenMP threads
  342. Mon Aug 24 16:02:25 2026 factoring 209135395273240871889939950280862449123430333500559130378850760956618761615216758247641823457246302394331326316868141460819838446483163974233198709694122641933622273210396175669365919503561660148014357356849093807893856580080367895721 (234 digits)
  343. Mon Aug 24 16:02:28 2026 no P-1/P+1/ECM available, skipping
  344. Mon Aug 24 16:02:28 2026 commencing number field sieve (234-digit input)
  345. Mon Aug 24 16:02:28 2026 R0: 304771832349356467024782768081684421938229928737
  346. Mon Aug 24 16:02:28 2026 R1: -2158461433970855355667867864833804893945856
  347. Mon Aug 24 16:02:28 2026 A0: -1
  348. Mon Aug 24 16:02:28 2026 A1: -3
  349. Mon Aug 24 16:02:28 2026 A2: 6
  350. Mon Aug 24 16:02:28 2026 A3: 4
  351. Mon Aug 24 16:02:28 2026 A4: -5
  352. Mon Aug 24 16:02:28 2026 A5: -1
  353. Mon Aug 24 16:02:28 2026 A6: 1
  354. Mon Aug 24 16:02:28 2026 skew 1.39, size 6.108e-14, alpha 3.126, combined = 1.334e-14 rroots = 6
  355. Mon Aug 24 16:02:28 2026
  356. Mon Aug 24 16:02:28 2026 commencing linear algebra
  357. Mon Aug 24 16:02:28 2026 using VBITS=256
  358. Mon Aug 24 16:02:28 2026 skipping matrix build
  359. Mon Aug 24 16:02:28 2026 initialized process (0,0) of 1 x 2 grid
  360. Mon Aug 24 16:02:51 2026 matrix starts at (0, 0)
  361. Mon Aug 24 16:02:56 2026 matrix is 32850789 x 16425472 (7153.7 MB) with weight 2021962982 (123.10/col)
  362. Mon Aug 24 16:02:56 2026 sparse part has weight 1711040981 (104.17/col)
  363. Mon Aug 24 16:02:56 2026 saving the first 240 matrix rows for later
  364. Mon Aug 24 16:03:09 2026 matrix includes 256 packed rows
  365. Mon Aug 24 16:03:19 2026 matrix is 32850549 x 16425472 (6710.2 MB) with weight 1567233291 (95.41/col)
  366. Mon Aug 24 16:03:19 2026 sparse part has weight 1496219739 (91.09/col)
  367. Mon Aug 24 16:03:19 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  368. Mon Aug 24 16:03:19 2026 selected card has CUDA arch 8.0
  369. Mon Aug 24 16:08:42 2026 commencing Lanczos iteration
  370. Mon Aug 24 16:08:46 2026 memory use: 17117.1 MB
  371. Mon Aug 24 16:09:33 2026 linear algebra at 0.1%, ETA 13h 5m
  372. Mon Aug 24 16:10:41 2026 checking every 40000 dimensions, checkpointing every 2480000 dimensions
  373. Tue Aug 25 04:50:16 2026 lanczos halted after 128708 iterations (dim = 32850543)
  374. Tue Aug 25 04:51:56 2026 recovered 32 nontrivial dependencies
  375. Tue Aug 25 04:51:56 2026 BLanczosTime: 46168
  376. Tue Aug 25 04:51:56 2026 elapsed time 12:49:31
  377. Tue Aug 25 04:51:57 2026
  378. Tue Aug 25 04:51:57 2026
  379. Tue Aug 25 04:51:57 2026 Msieve v. 1.54 (SVN Unversioned directory)
  380. Tue Aug 25 04:51:57 2026 random seeds: 4d563f72 5328e842
  381. Tue Aug 25 04:51:57 2026 MPI process 0 of 1
  382. Tue Aug 25 04:51:57 2026 Using 32 OpenMP threads
  383. Tue Aug 25 04:51:57 2026 factoring 209135395273240871889939950280862449123430333500559130378850760956618761615216758247641823457246302394331326316868141460819838446483163974233198709694122641933622273210396175669365919503561660148014357356849093807893856580080367895721 (234 digits)
  384. Tue Aug 25 04:51:58 2026 no P-1/P+1/ECM available, skipping
  385. Tue Aug 25 04:51:58 2026 commencing number field sieve (234-digit input)
  386. Tue Aug 25 04:51:58 2026 R0: 304771832349356467024782768081684421938229928737
  387. Tue Aug 25 04:51:58 2026 R1: -2158461433970855355667867864833804893945856
  388. Tue Aug 25 04:51:58 2026 A0: -1
  389. Tue Aug 25 04:51:58 2026 A1: -3
  390. Tue Aug 25 04:51:58 2026 A2: 6
  391. Tue Aug 25 04:51:58 2026 A3: 4
  392. Tue Aug 25 04:51:58 2026 A4: -5
  393. Tue Aug 25 04:51:58 2026 A5: -1
  394. Tue Aug 25 04:51:58 2026 A6: 1
  395. Tue Aug 25 04:51:58 2026 skew 1.39, size 6.108e-14, alpha 3.126, combined = 1.334e-14 rroots = 6
  396. Tue Aug 25 04:51:58 2026
  397. Tue Aug 25 04:51:58 2026 commencing square root phase
  398. Tue Aug 25 04:51:58 2026 reading relations for dependency 1
  399. Tue Aug 25 04:52:03 2026 read 16426979 cycles
  400. Tue Aug 25 04:52:36 2026 cycles contain 53295218 unique relations
  401. Tue Aug 25 04:53:46 2026 read 53295218 relations
  402. Tue Aug 25 04:57:00 2026 multiplying 53295218 relations
  403. Tue Aug 25 05:00:05 2026 multiply complete, coefficients have about 1428.83 million bits
  404. Tue Aug 25 05:00:11 2026 initial square root is modulo 2566661
  405. Tue Aug 25 05:09:28 2026 GCD is 1, no factor found
  406. Tue Aug 25 05:09:28 2026 reading relations for dependency 2
  407. Tue Aug 25 05:09:32 2026 read 16429752 cycles
  408. Tue Aug 25 05:10:03 2026 cycles contain 53305256 unique relations
  409. Tue Aug 25 05:11:10 2026 read 53305256 relations
  410. Tue Aug 25 05:15:19 2026 multiplying 53305256 relations
  411. Tue Aug 25 05:18:22 2026 multiply complete, coefficients have about 1429.12 million bits
  412. Tue Aug 25 05:18:28 2026 initial square root is modulo 2574149
  413. Tue Aug 25 05:27:59 2026 sqrtTime: 2161
  414. Tue Aug 25 05:27:59 2026 p113 factor: 72232041062228183168057259550090911006320624868125261134345723824560502938256283807515772912751359050201222918757
  415. Tue Aug 25 05:27:59 2026 p121 factor: 2895327228716545871518473624485488434654959793114085949153013618071578962274623077857645183199801403457033110525249028853
  416. Tue Aug 25 05:27:59 2026 elapsed time 00:36:02
  417.  
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