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Jun 5th, 2025
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  1. Tue Jun 3 22:06:24 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue Jun 3 22:06:24 2025 random seeds: 6fc1875a 57395295
  3. Tue Jun 3 22:06:24 2025 Using 16 OpenMP threads
  4. Tue Jun 3 22:06:24 2025 factoring 14338436831233389815260815879846119851293711680280439033435583928937034575527879201071748245472849731796365468055221565365091956576673372126142926752635021089913916126231900123786268877588790773043169169156361 (209 digits)
  5. Tue Jun 3 22:06:24 2025 no P-1/P+1/ECM available, skipping
  6. Tue Jun 3 22:06:24 2025 commencing number field sieve (209-digit input)
  7. Tue Jun 3 22:06:24 2025 R0: -140515219945627518837736801
  8. Tue Jun 3 22:06:24 2025 R1: 19118715823042429491729074582041753821507871751
  9. Tue Jun 3 22:06:24 2025 A0: 10721
  10. Tue Jun 3 22:06:24 2025 A1: 0
  11. Tue Jun 3 22:06:24 2025 A2: 0
  12. Tue Jun 3 22:06:24 2025 A3: 0
  13. Tue Jun 3 22:06:24 2025 A4: 0
  14. Tue Jun 3 22:06:24 2025 A5: 0
  15. Tue Jun 3 22:06:24 2025 A6: 1
  16. Tue Jun 3 22:06:24 2025 skew 4.70, size 4.079e-14, alpha 0.752, combined = 1.065e-14 rroots = 0
  17. Tue Jun 3 22:06:24 2025
  18. Tue Jun 3 22:06:24 2025 commencing relation filtering
  19. Tue Jun 3 22:06:24 2025 setting target matrix density to 115.0
  20. Tue Jun 3 22:06:24 2025 estimated available RAM is 128734.6 MB
  21. Tue Jun 3 22:06:24 2025 commencing duplicate removal, pass 1
  22. Tue Jun 3 22:09:06 2025 error -6 reading relation 112757034
  23. Tue Jun 3 22:14:06 2025 error -11 reading relation 411550731
  24. Tue Jun 3 22:14:08 2025 error -11 reading relation 414947501
  25. Tue Jun 3 22:17:42 2025 skipped 4851 relations with b > 2^32
  26. Tue Jun 3 22:17:42 2025 skipped 4 malformed relations
  27. Tue Jun 3 22:17:42 2025 found 21475864 hash collisions in 622106425 relations
  28. Tue Jun 3 22:17:49 2025 added 1217648 free relations
  29. Tue Jun 3 22:17:49 2025 commencing duplicate removal, pass 2
  30. Tue Jun 3 22:20:15 2025 found 0 duplicates and 623324073 unique relations
  31. Tue Jun 3 22:20:15 2025 memory use: 2089.5 MB
  32. Tue Jun 3 22:20:15 2025 reading ideals above 304939008
  33. Tue Jun 3 22:20:15 2025 commencing singleton removal, initial pass
  34. Tue Jun 3 22:42:11 2025 memory use: 11024.0 MB
  35. Tue Jun 3 22:42:11 2025 reading all ideals from disk
  36. Tue Jun 3 22:42:13 2025 memory use: 16444.2 MB
  37. Tue Jun 3 22:42:35 2025 commencing in-memory singleton removal
  38. Tue Jun 3 22:42:40 2025 begin with 623324073 relations and 473795456 unique ideals
  39. Tue Jun 3 22:43:47 2025 reduce to 500612100 relations and 347367145 ideals in 15 passes
  40. Tue Jun 3 22:43:47 2025 max relations containing the same ideal: 72
  41. Tue Jun 3 22:43:57 2025 reading ideals above 720000
  42. Tue Jun 3 22:43:57 2025 commencing singleton removal, initial pass
  43. Tue Jun 3 23:26:43 2025 memory use: 11024.0 MB
  44. Tue Jun 3 23:26:43 2025 reading all ideals from disk
  45. Tue Jun 3 23:26:47 2025 memory use: 26003.2 MB
  46. Tue Jun 3 23:27:19 2025 keeping 377648777 ideals with weight <= 200, target excess is 2718652
  47. Tue Jun 3 23:28:15 2025 commencing in-memory singleton removal
  48. Tue Jun 3 23:28:31 2025 begin with 500612100 relations and 377648777 unique ideals
  49. Tue Jun 3 23:28:58 2025 reduce to 500612065 relations and 377648742 ideals in 4 passes
  50. Tue Jun 3 23:28:58 2025 max relations containing the same ideal: 200
  51. Tue Jun 3 23:31:18 2025 removing 12753649 relations and 10753649 ideals in 2000000 cliques
  52. Tue Jun 3 23:31:28 2025 commencing in-memory singleton removal
  53. Tue Jun 3 23:31:41 2025 begin with 487858416 relations and 377648742 unique ideals
  54. Tue Jun 3 23:32:33 2025 reduce to 487635603 relations and 366671057 ideals in 7 passes
  55. Tue Jun 3 23:32:33 2025 max relations containing the same ideal: 200
  56. Tue Jun 3 23:34:46 2025 removing 9749422 relations and 7749422 ideals in 2000000 cliques
  57. Tue Jun 3 23:34:53 2025 commencing in-memory singleton removal
  58. Tue Jun 3 23:35:02 2025 begin with 477886181 relations and 366671057 unique ideals
  59. Tue Jun 3 23:35:50 2025 reduce to 477739691 relations and 358774468 ideals in 7 passes
  60. Tue Jun 3 23:35:50 2025 max relations containing the same ideal: 200
  61. Tue Jun 3 23:37:55 2025 removing 8778523 relations and 6778523 ideals in 2000000 cliques
  62. Tue Jun 3 23:38:02 2025 commencing in-memory singleton removal
  63. Tue Jun 3 23:38:10 2025 begin with 468961168 relations and 358774468 unique ideals
  64. Tue Jun 3 23:38:54 2025 reduce to 468836025 relations and 351870247 ideals in 7 passes
  65. Tue Jun 3 23:38:54 2025 max relations containing the same ideal: 200
  66. Tue Jun 3 23:41:12 2025 removing 8216136 relations and 6216136 ideals in 2000000 cliques
  67. Tue Jun 3 23:41:23 2025 commencing in-memory singleton removal
  68. Tue Jun 3 23:41:38 2025 begin with 460619889 relations and 351870247 unique ideals
  69. Tue Jun 3 23:42:16 2025 reduce to 460505145 relations and 345538817 ideals in 6 passes
  70. Tue Jun 3 23:42:16 2025 max relations containing the same ideal: 198
  71. Tue Jun 3 23:44:29 2025 removing 7826739 relations and 5826739 ideals in 2000000 cliques
  72. Tue Jun 3 23:44:36 2025 commencing in-memory singleton removal
  73. Tue Jun 3 23:44:52 2025 begin with 452678406 relations and 345538817 unique ideals
  74. Tue Jun 3 23:45:35 2025 reduce to 452571066 relations and 339604231 ideals in 7 passes
  75. Tue Jun 3 23:45:35 2025 max relations containing the same ideal: 197
  76. Tue Jun 3 23:47:45 2025 removing 7545093 relations and 5545093 ideals in 2000000 cliques
  77. Tue Jun 3 23:47:52 2025 commencing in-memory singleton removal
  78. Tue Jun 3 23:48:01 2025 begin with 445025973 relations and 339604231 unique ideals
  79. Tue Jun 3 23:48:41 2025 reduce to 444922989 relations and 333955675 ideals in 6 passes
  80. Tue Jun 3 23:48:41 2025 max relations containing the same ideal: 195
  81. Tue Jun 3 23:50:45 2025 removing 7323275 relations and 5323275 ideals in 2000000 cliques
  82. Tue Jun 3 23:50:56 2025 commencing in-memory singleton removal
  83. Tue Jun 3 23:51:04 2025 begin with 437599714 relations and 333955675 unique ideals
  84. Tue Jun 3 23:51:56 2025 reduce to 437501308 relations and 328533566 ideals in 6 passes
  85. Tue Jun 3 23:51:56 2025 max relations containing the same ideal: 193
  86. Tue Jun 3 23:53:55 2025 removing 7151185 relations and 5151185 ideals in 2000000 cliques
  87. Tue Jun 3 23:54:08 2025 commencing in-memory singleton removal
  88. Tue Jun 3 23:54:16 2025 begin with 430350123 relations and 328533566 unique ideals
  89. Tue Jun 3 23:54:58 2025 reduce to 430253984 relations and 323285750 ideals in 6 passes
  90. Tue Jun 3 23:54:58 2025 max relations containing the same ideal: 190
  91. Tue Jun 3 23:57:02 2025 removing 7013913 relations and 5013913 ideals in 2000000 cliques
  92. Tue Jun 3 23:57:10 2025 commencing in-memory singleton removal
  93. Tue Jun 3 23:57:18 2025 begin with 423240071 relations and 323285750 unique ideals
  94. Tue Jun 3 23:58:01 2025 reduce to 423146142 relations and 318177471 ideals in 6 passes
  95. Tue Jun 3 23:58:01 2025 max relations containing the same ideal: 190
  96. Tue Jun 3 23:59:48 2025 removing 6895509 relations and 4895509 ideals in 2000000 cliques
  97. Wed Jun 4 00:00:01 2025 commencing in-memory singleton removal
  98. Wed Jun 4 00:00:08 2025 begin with 416250633 relations and 318177471 unique ideals
  99. Wed Jun 4 00:00:48 2025 reduce to 416157894 relations and 313188744 ideals in 6 passes
  100. Wed Jun 4 00:00:48 2025 max relations containing the same ideal: 188
  101. Wed Jun 4 00:02:44 2025 removing 6795151 relations and 4795151 ideals in 2000000 cliques
  102. Wed Jun 4 00:02:51 2025 commencing in-memory singleton removal
  103. Wed Jun 4 00:03:06 2025 begin with 409362743 relations and 313188744 unique ideals
  104. Wed Jun 4 00:03:28 2025 reduce to 409272218 relations and 308302571 ideals in 5 passes
  105. Wed Jun 4 00:03:28 2025 max relations containing the same ideal: 187
  106. Wed Jun 4 00:05:18 2025 removing 6705263 relations and 4705263 ideals in 2000000 cliques
  107. Wed Jun 4 00:05:25 2025 commencing in-memory singleton removal
  108. Wed Jun 4 00:05:33 2025 begin with 402566955 relations and 308302571 unique ideals
  109. Wed Jun 4 00:06:09 2025 reduce to 402475624 relations and 303505502 ideals in 6 passes
  110. Wed Jun 4 00:06:09 2025 max relations containing the same ideal: 185
  111. Wed Jun 4 00:07:56 2025 removing 6632150 relations and 4632150 ideals in 2000000 cliques
  112. Wed Jun 4 00:08:05 2025 commencing in-memory singleton removal
  113. Wed Jun 4 00:08:18 2025 begin with 395843474 relations and 303505502 unique ideals
  114. Wed Jun 4 00:08:54 2025 reduce to 395753802 relations and 298783130 ideals in 6 passes
  115. Wed Jun 4 00:08:54 2025 max relations containing the same ideal: 184
  116. Wed Jun 4 00:10:38 2025 removing 6567828 relations and 4567828 ideals in 2000000 cliques
  117. Wed Jun 4 00:10:50 2025 commencing in-memory singleton removal
  118. Wed Jun 4 00:10:58 2025 begin with 389185974 relations and 298783130 unique ideals
  119. Wed Jun 4 00:11:35 2025 reduce to 389094621 relations and 294123416 ideals in 6 passes
  120. Wed Jun 4 00:11:35 2025 max relations containing the same ideal: 183
  121. Wed Jun 4 00:13:18 2025 removing 6509986 relations and 4509986 ideals in 2000000 cliques
  122. Wed Jun 4 00:13:30 2025 commencing in-memory singleton removal
  123. Wed Jun 4 00:13:37 2025 begin with 382584635 relations and 294123416 unique ideals
  124. Wed Jun 4 00:14:20 2025 reduce to 382494346 relations and 289522578 ideals in 7 passes
  125. Wed Jun 4 00:14:20 2025 max relations containing the same ideal: 181
  126. Wed Jun 4 00:16:06 2025 removing 6458350 relations and 4458350 ideals in 2000000 cliques
  127. Wed Jun 4 00:16:13 2025 commencing in-memory singleton removal
  128. Wed Jun 4 00:16:24 2025 begin with 376035996 relations and 289522578 unique ideals
  129. Wed Jun 4 00:17:00 2025 reduce to 375945347 relations and 284973004 ideals in 6 passes
  130. Wed Jun 4 00:17:00 2025 max relations containing the same ideal: 179
  131. Wed Jun 4 00:18:42 2025 removing 6417448 relations and 4417448 ideals in 2000000 cliques
  132. Wed Jun 4 00:18:52 2025 commencing in-memory singleton removal
  133. Wed Jun 4 00:19:00 2025 begin with 369527899 relations and 284973004 unique ideals
  134. Wed Jun 4 00:19:27 2025 reduce to 369436658 relations and 280463695 ideals in 6 passes
  135. Wed Jun 4 00:19:27 2025 max relations containing the same ideal: 177
  136. Wed Jun 4 00:21:07 2025 removing 6375905 relations and 4375905 ideals in 2000000 cliques
  137. Wed Jun 4 00:21:16 2025 commencing in-memory singleton removal
  138. Wed Jun 4 00:21:22 2025 begin with 363060753 relations and 280463695 unique ideals
  139. Wed Jun 4 00:21:59 2025 reduce to 362968550 relations and 275994997 ideals in 6 passes
  140. Wed Jun 4 00:21:59 2025 max relations containing the same ideal: 175
  141. Wed Jun 4 00:23:24 2025 removing 6340317 relations and 4340317 ideals in 2000000 cliques
  142. Wed Jun 4 00:23:35 2025 commencing in-memory singleton removal
  143. Wed Jun 4 00:23:40 2025 begin with 356628233 relations and 275994997 unique ideals
  144. Wed Jun 4 00:24:19 2025 reduce to 356536202 relations and 271562032 ideals in 6 passes
  145. Wed Jun 4 00:24:19 2025 max relations containing the same ideal: 174
  146. Wed Jun 4 00:25:56 2025 removing 6311040 relations and 4311040 ideals in 2000000 cliques
  147. Wed Jun 4 00:26:01 2025 commencing in-memory singleton removal
  148. Wed Jun 4 00:26:13 2025 begin with 350225162 relations and 271562032 unique ideals
  149. Wed Jun 4 00:26:34 2025 reduce to 350132477 relations and 267157635 ideals in 5 passes
  150. Wed Jun 4 00:26:34 2025 max relations containing the same ideal: 172
  151. Wed Jun 4 00:28:18 2025 removing 6280535 relations and 4280535 ideals in 2000000 cliques
  152. Wed Jun 4 00:28:25 2025 commencing in-memory singleton removal
  153. Wed Jun 4 00:28:32 2025 begin with 343851942 relations and 267157635 unique ideals
  154. Wed Jun 4 00:28:59 2025 reduce to 343759005 relations and 262783444 ideals in 6 passes
  155. Wed Jun 4 00:28:59 2025 max relations containing the same ideal: 170
  156. Wed Jun 4 00:30:37 2025 removing 6257585 relations and 4257585 ideals in 2000000 cliques
  157. Wed Jun 4 00:30:43 2025 commencing in-memory singleton removal
  158. Wed Jun 4 00:30:55 2025 begin with 337501420 relations and 262783444 unique ideals
  159. Wed Jun 4 00:31:22 2025 reduce to 337407148 relations and 258430872 ideals in 6 passes
  160. Wed Jun 4 00:31:22 2025 max relations containing the same ideal: 170
  161. Wed Jun 4 00:33:11 2025 removing 6236436 relations and 4236436 ideals in 2000000 cliques
  162. Wed Jun 4 00:33:22 2025 commencing in-memory singleton removal
  163. Wed Jun 4 00:33:29 2025 begin with 331170712 relations and 258430872 unique ideals
  164. Wed Jun 4 00:33:58 2025 reduce to 331075368 relations and 254098341 ideals in 6 passes
  165. Wed Jun 4 00:33:58 2025 max relations containing the same ideal: 166
  166. Wed Jun 4 00:35:39 2025 removing 6218458 relations and 4218458 ideals in 2000000 cliques
  167. Wed Jun 4 00:35:48 2025 commencing in-memory singleton removal
  168. Wed Jun 4 00:35:55 2025 begin with 324856910 relations and 254098341 unique ideals
  169. Wed Jun 4 00:36:29 2025 reduce to 324760618 relations and 249782815 ideals in 6 passes
  170. Wed Jun 4 00:36:29 2025 max relations containing the same ideal: 163
  171. Wed Jun 4 00:38:05 2025 removing 6201472 relations and 4201472 ideals in 2000000 cliques
  172. Wed Jun 4 00:38:12 2025 commencing in-memory singleton removal
  173. Wed Jun 4 00:38:22 2025 begin with 318559146 relations and 249782815 unique ideals
  174. Wed Jun 4 00:38:49 2025 reduce to 318460908 relations and 245482272 ideals in 6 passes
  175. Wed Jun 4 00:38:49 2025 max relations containing the same ideal: 162
  176. Wed Jun 4 00:40:15 2025 removing 6189204 relations and 4189204 ideals in 2000000 cliques
  177. Wed Jun 4 00:40:24 2025 commencing in-memory singleton removal
  178. Wed Jun 4 00:40:33 2025 begin with 312271704 relations and 245482272 unique ideals
  179. Wed Jun 4 00:41:02 2025 reduce to 312172134 relations and 241192632 ideals in 6 passes
  180. Wed Jun 4 00:41:02 2025 max relations containing the same ideal: 160
  181. Wed Jun 4 00:42:31 2025 removing 6174393 relations and 4174393 ideals in 2000000 cliques
  182. Wed Jun 4 00:42:40 2025 commencing in-memory singleton removal
  183. Wed Jun 4 00:42:45 2025 begin with 305997741 relations and 241192632 unique ideals
  184. Wed Jun 4 00:43:07 2025 reduce to 305896756 relations and 236916353 ideals in 6 passes
  185. Wed Jun 4 00:43:07 2025 max relations containing the same ideal: 158
  186. Wed Jun 4 00:44:27 2025 removing 6169210 relations and 4169210 ideals in 2000000 cliques
  187. Wed Jun 4 00:44:31 2025 commencing in-memory singleton removal
  188. Wed Jun 4 00:44:36 2025 begin with 299727546 relations and 236916353 unique ideals
  189. Wed Jun 4 00:45:02 2025 reduce to 299625328 relations and 232644015 ideals in 6 passes
  190. Wed Jun 4 00:45:02 2025 max relations containing the same ideal: 154
  191. Wed Jun 4 00:46:17 2025 removing 6158453 relations and 4158453 ideals in 2000000 cliques
  192. Wed Jun 4 00:46:26 2025 commencing in-memory singleton removal
  193. Wed Jun 4 00:46:31 2025 begin with 293466875 relations and 232644015 unique ideals
  194. Wed Jun 4 00:47:02 2025 reduce to 293361563 relations and 228379312 ideals in 6 passes
  195. Wed Jun 4 00:47:02 2025 max relations containing the same ideal: 154
  196. Wed Jun 4 00:48:13 2025 removing 6152010 relations and 4152010 ideals in 2000000 cliques
  197. Wed Jun 4 00:48:18 2025 commencing in-memory singleton removal
  198. Wed Jun 4 00:48:28 2025 begin with 287209553 relations and 228379312 unique ideals
  199. Wed Jun 4 00:48:52 2025 reduce to 287103143 relations and 224119851 ideals in 6 passes
  200. Wed Jun 4 00:48:52 2025 max relations containing the same ideal: 151
  201. Wed Jun 4 00:49:58 2025 removing 6150336 relations and 4150336 ideals in 2000000 cliques
  202. Wed Jun 4 00:50:02 2025 commencing in-memory singleton removal
  203. Wed Jun 4 00:50:08 2025 begin with 280952807 relations and 224119851 unique ideals
  204. Wed Jun 4 00:50:30 2025 reduce to 280844529 relations and 219860255 ideals in 6 passes
  205. Wed Jun 4 00:50:30 2025 max relations containing the same ideal: 150
  206. Wed Jun 4 00:51:52 2025 removing 6147088 relations and 4147088 ideals in 2000000 cliques
  207. Wed Jun 4 00:52:01 2025 commencing in-memory singleton removal
  208. Wed Jun 4 00:52:05 2025 begin with 274697441 relations and 219860255 unique ideals
  209. Wed Jun 4 00:52:31 2025 reduce to 274586367 relations and 215601026 ideals in 6 passes
  210. Wed Jun 4 00:52:31 2025 max relations containing the same ideal: 147
  211. Wed Jun 4 00:53:46 2025 removing 6146434 relations and 4146434 ideals in 2000000 cliques
  212. Wed Jun 4 00:53:50 2025 commencing in-memory singleton removal
  213. Wed Jun 4 00:53:56 2025 begin with 268439933 relations and 215601026 unique ideals
  214. Wed Jun 4 00:54:28 2025 reduce to 268327080 relations and 211340667 ideals in 7 passes
  215. Wed Jun 4 00:54:28 2025 max relations containing the same ideal: 145
  216. Wed Jun 4 00:55:57 2025 removing 6152322 relations and 4152322 ideals in 2000000 cliques
  217. Wed Jun 4 00:56:01 2025 commencing in-memory singleton removal
  218. Wed Jun 4 00:56:06 2025 begin with 262174758 relations and 211340667 unique ideals
  219. Wed Jun 4 00:56:27 2025 reduce to 262059215 relations and 207071646 ideals in 6 passes
  220. Wed Jun 4 00:56:27 2025 max relations containing the same ideal: 142
  221. Wed Jun 4 00:57:45 2025 removing 6156649 relations and 4156649 ideals in 2000000 cliques
  222. Wed Jun 4 00:57:55 2025 commencing in-memory singleton removal
  223. Wed Jun 4 00:57:59 2025 begin with 255902566 relations and 207071646 unique ideals
  224. Wed Jun 4 00:58:21 2025 reduce to 255784867 relations and 202796049 ideals in 6 passes
  225. Wed Jun 4 00:58:21 2025 max relations containing the same ideal: 140
  226. Wed Jun 4 00:59:40 2025 removing 6163665 relations and 4163665 ideals in 2000000 cliques
  227. Wed Jun 4 00:59:44 2025 commencing in-memory singleton removal
  228. Wed Jun 4 00:59:51 2025 begin with 249621202 relations and 202796049 unique ideals
  229. Wed Jun 4 01:00:14 2025 reduce to 249500063 relations and 198509947 ideals in 6 passes
  230. Wed Jun 4 01:00:14 2025 max relations containing the same ideal: 137
  231. Wed Jun 4 01:01:28 2025 removing 6170461 relations and 4170461 ideals in 2000000 cliques
  232. Wed Jun 4 01:01:34 2025 commencing in-memory singleton removal
  233. Wed Jun 4 01:01:41 2025 begin with 243329602 relations and 198509947 unique ideals
  234. Wed Jun 4 01:02:03 2025 reduce to 243204839 relations and 194213411 ideals in 6 passes
  235. Wed Jun 4 01:02:03 2025 max relations containing the same ideal: 135
  236. Wed Jun 4 01:03:05 2025 removing 6178096 relations and 4178096 ideals in 2000000 cliques
  237. Wed Jun 4 01:03:09 2025 commencing in-memory singleton removal
  238. Wed Jun 4 01:03:20 2025 begin with 237026743 relations and 194213411 unique ideals
  239. Wed Jun 4 01:03:44 2025 reduce to 236899773 relations and 189906961 ideals in 7 passes
  240. Wed Jun 4 01:03:44 2025 max relations containing the same ideal: 131
  241. Wed Jun 4 01:05:03 2025 removing 6191045 relations and 4191045 ideals in 2000000 cliques
  242. Wed Jun 4 01:05:06 2025 commencing in-memory singleton removal
  243. Wed Jun 4 01:05:10 2025 begin with 230708728 relations and 189906961 unique ideals
  244. Wed Jun 4 01:05:34 2025 reduce to 230578034 relations and 185583756 ideals in 6 passes
  245. Wed Jun 4 01:05:34 2025 max relations containing the same ideal: 128
  246. Wed Jun 4 01:06:52 2025 removing 6202781 relations and 4202781 ideals in 2000000 cliques
  247. Wed Jun 4 01:06:56 2025 commencing in-memory singleton removal
  248. Wed Jun 4 01:07:05 2025 begin with 224375253 relations and 185583756 unique ideals
  249. Wed Jun 4 01:07:18 2025 reduce to 224240559 relations and 181244693 ideals in 6 passes
  250. Wed Jun 4 01:07:18 2025 max relations containing the same ideal: 127
  251. Wed Jun 4 01:08:40 2025 removing 6218758 relations and 4218758 ideals in 2000000 cliques
  252. Wed Jun 4 01:08:46 2025 commencing in-memory singleton removal
  253. Wed Jun 4 01:08:49 2025 begin with 218021801 relations and 181244693 unique ideals
  254. Wed Jun 4 01:09:11 2025 reduce to 217883319 relations and 176885854 ideals in 7 passes
  255. Wed Jun 4 01:09:11 2025 max relations containing the same ideal: 125
  256. Wed Jun 4 01:10:14 2025 removing 6241864 relations and 4241864 ideals in 2000000 cliques
  257. Wed Jun 4 01:10:18 2025 commencing in-memory singleton removal
  258. Wed Jun 4 01:10:29 2025 begin with 211641455 relations and 176885854 unique ideals
  259. Wed Jun 4 01:10:48 2025 reduce to 211497124 relations and 172498035 ideals in 6 passes
  260. Wed Jun 4 01:10:48 2025 max relations containing the same ideal: 123
  261. Wed Jun 4 01:11:44 2025 removing 6260608 relations and 4260608 ideals in 2000000 cliques
  262. Wed Jun 4 01:11:47 2025 commencing in-memory singleton removal
  263. Wed Jun 4 01:11:50 2025 begin with 205236516 relations and 172498035 unique ideals
  264. Wed Jun 4 01:12:11 2025 reduce to 205088258 relations and 168087436 ideals in 6 passes
  265. Wed Jun 4 01:12:11 2025 max relations containing the same ideal: 119
  266. Wed Jun 4 01:13:06 2025 removing 6286912 relations and 4286912 ideals in 2000000 cliques
  267. Wed Jun 4 01:13:10 2025 commencing in-memory singleton removal
  268. Wed Jun 4 01:13:18 2025 begin with 198801346 relations and 168087436 unique ideals
  269. Wed Jun 4 01:13:33 2025 reduce to 198648866 relations and 163646247 ideals in 7 passes
  270. Wed Jun 4 01:13:33 2025 max relations containing the same ideal: 115
  271. Wed Jun 4 01:14:35 2025 removing 6313625 relations and 4313625 ideals in 2000000 cliques
  272. Wed Jun 4 01:14:38 2025 commencing in-memory singleton removal
  273. Wed Jun 4 01:14:43 2025 begin with 192335241 relations and 163646247 unique ideals
  274. Wed Jun 4 01:15:06 2025 reduce to 192177325 relations and 159172834 ideals in 6 passes
  275. Wed Jun 4 01:15:06 2025 max relations containing the same ideal: 114
  276. Wed Jun 4 01:16:04 2025 removing 6342088 relations and 4342088 ideals in 2000000 cliques
  277. Wed Jun 4 01:16:12 2025 commencing in-memory singleton removal
  278. Wed Jun 4 01:16:15 2025 begin with 185835237 relations and 159172834 unique ideals
  279. Wed Jun 4 01:16:34 2025 reduce to 185670871 relations and 154664312 ideals in 6 passes
  280. Wed Jun 4 01:16:34 2025 max relations containing the same ideal: 110
  281. Wed Jun 4 01:17:29 2025 removing 6378410 relations and 4378410 ideals in 2000000 cliques
  282. Wed Jun 4 01:17:35 2025 commencing in-memory singleton removal
  283. Wed Jun 4 01:17:38 2025 begin with 179292461 relations and 154664312 unique ideals
  284. Wed Jun 4 01:17:54 2025 reduce to 179120613 relations and 150111895 ideals in 6 passes
  285. Wed Jun 4 01:17:54 2025 max relations containing the same ideal: 108
  286. Wed Jun 4 01:18:52 2025 removing 6414133 relations and 4414133 ideals in 2000000 cliques
  287. Wed Jun 4 01:18:57 2025 commencing in-memory singleton removal
  288. Wed Jun 4 01:19:03 2025 begin with 172706480 relations and 150111895 unique ideals
  289. Wed Jun 4 01:19:19 2025 reduce to 172528067 relations and 145517118 ideals in 6 passes
  290. Wed Jun 4 01:19:19 2025 max relations containing the same ideal: 105
  291. Wed Jun 4 01:20:04 2025 removing 6454396 relations and 4454396 ideals in 2000000 cliques
  292. Wed Jun 4 01:20:07 2025 commencing in-memory singleton removal
  293. Wed Jun 4 01:20:12 2025 begin with 166073671 relations and 145517118 unique ideals
  294. Wed Jun 4 01:20:27 2025 reduce to 165888248 relations and 140874830 ideals in 6 passes
  295. Wed Jun 4 01:20:27 2025 max relations containing the same ideal: 102
  296. Wed Jun 4 01:21:14 2025 removing 6497975 relations and 4497975 ideals in 2000000 cliques
  297. Wed Jun 4 01:21:18 2025 commencing in-memory singleton removal
  298. Wed Jun 4 01:21:21 2025 begin with 159390273 relations and 140874830 unique ideals
  299. Wed Jun 4 01:21:35 2025 reduce to 159196190 relations and 136180285 ideals in 7 passes
  300. Wed Jun 4 01:21:35 2025 max relations containing the same ideal: 100
  301. Wed Jun 4 01:22:21 2025 removing 6549616 relations and 4549616 ideals in 2000000 cliques
  302. Wed Jun 4 01:22:28 2025 commencing in-memory singleton removal
  303. Wed Jun 4 01:22:34 2025 begin with 152646574 relations and 136180285 unique ideals
  304. Wed Jun 4 01:22:43 2025 reduce to 152442114 relations and 131423436 ideals in 6 passes
  305. Wed Jun 4 01:22:43 2025 max relations containing the same ideal: 98
  306. Wed Jun 4 01:23:36 2025 removing 6603747 relations and 4603747 ideals in 2000000 cliques
  307. Wed Jun 4 01:23:42 2025 commencing in-memory singleton removal
  308. Wed Jun 4 01:23:44 2025 begin with 145838367 relations and 131423436 unique ideals
  309. Wed Jun 4 01:24:03 2025 reduce to 145624090 relations and 126602587 ideals in 6 passes
  310. Wed Jun 4 01:24:03 2025 max relations containing the same ideal: 95
  311. Wed Jun 4 01:24:44 2025 removing 6663442 relations and 4663442 ideals in 2000000 cliques
  312. Wed Jun 4 01:24:46 2025 commencing in-memory singleton removal
  313. Wed Jun 4 01:24:49 2025 begin with 138960648 relations and 126602587 unique ideals
  314. Wed Jun 4 01:25:05 2025 reduce to 138733267 relations and 121708624 ideals in 7 passes
  315. Wed Jun 4 01:25:05 2025 max relations containing the same ideal: 91
  316. Wed Jun 4 01:25:47 2025 removing 6726213 relations and 4726213 ideals in 2000000 cliques
  317. Wed Jun 4 01:25:49 2025 commencing in-memory singleton removal
  318. Wed Jun 4 01:25:51 2025 begin with 132007054 relations and 121708624 unique ideals
  319. Wed Jun 4 01:26:09 2025 reduce to 131766766 relations and 116738825 ideals in 6 passes
  320. Wed Jun 4 01:26:09 2025 max relations containing the same ideal: 88
  321. Wed Jun 4 01:26:49 2025 removing 6794353 relations and 4794353 ideals in 2000000 cliques
  322. Wed Jun 4 01:26:52 2025 commencing in-memory singleton removal
  323. Wed Jun 4 01:26:54 2025 begin with 124972413 relations and 116738825 unique ideals
  324. Wed Jun 4 01:27:01 2025 reduce to 124716626 relations and 111685068 ideals in 7 passes
  325. Wed Jun 4 01:27:01 2025 max relations containing the same ideal: 85
  326. Wed Jun 4 01:27:44 2025 removing 6869675 relations and 4869675 ideals in 2000000 cliques
  327. Wed Jun 4 01:27:46 2025 commencing in-memory singleton removal
  328. Wed Jun 4 01:27:48 2025 begin with 117846951 relations and 111685068 unique ideals
  329. Wed Jun 4 01:28:05 2025 reduce to 117573906 relations and 106538352 ideals in 7 passes
  330. Wed Jun 4 01:28:05 2025 max relations containing the same ideal: 85
  331. Wed Jun 4 01:28:37 2025 removing 6954206 relations and 4954206 ideals in 2000000 cliques
  332. Wed Jun 4 01:28:42 2025 commencing in-memory singleton removal
  333. Wed Jun 4 01:28:44 2025 begin with 110619700 relations and 106538352 unique ideals
  334. Wed Jun 4 01:28:52 2025 reduce to 110324608 relations and 101284561 ideals in 6 passes
  335. Wed Jun 4 01:28:52 2025 max relations containing the same ideal: 80
  336. Wed Jun 4 01:29:34 2025 removing 7048812 relations and 5048812 ideals in 2000000 cliques
  337. Wed Jun 4 01:29:37 2025 commencing in-memory singleton removal
  338. Wed Jun 4 01:29:39 2025 begin with 103275796 relations and 101284561 unique ideals
  339. Wed Jun 4 01:29:45 2025 reduce to 102953978 relations and 95908799 ideals in 7 passes
  340. Wed Jun 4 01:29:45 2025 max relations containing the same ideal: 78
  341. Wed Jun 4 01:30:19 2025 removing 7150404 relations and 5150404 ideals in 2000000 cliques
  342. Wed Jun 4 01:30:21 2025 commencing in-memory singleton removal
  343. Wed Jun 4 01:30:22 2025 begin with 95803574 relations and 95908799 unique ideals
  344. Wed Jun 4 01:30:37 2025 reduce to 95450479 relations and 90399330 ideals in 8 passes
  345. Wed Jun 4 01:30:37 2025 max relations containing the same ideal: 76
  346. Wed Jun 4 01:31:13 2025 removing 6948093 relations and 5050581 ideals in 1897512 cliques
  347. Wed Jun 4 01:31:15 2025 commencing in-memory singleton removal
  348. Wed Jun 4 01:31:16 2025 begin with 88502386 relations and 90399330 unique ideals
  349. Wed Jun 4 01:31:22 2025 reduce to 88142357 relations and 84982697 ideals in 7 passes
  350. Wed Jun 4 01:31:22 2025 max relations containing the same ideal: 71
  351. Wed Jun 4 01:32:00 2025 relations with 0 large ideals: 101178
  352. Wed Jun 4 01:32:00 2025 relations with 1 large ideals: 59059
  353. Wed Jun 4 01:32:00 2025 relations with 2 large ideals: 662440
  354. Wed Jun 4 01:32:00 2025 relations with 3 large ideals: 3756784
  355. Wed Jun 4 01:32:00 2025 relations with 4 large ideals: 11387827
  356. Wed Jun 4 01:32:00 2025 relations with 5 large ideals: 20497523
  357. Wed Jun 4 01:32:00 2025 relations with 6 large ideals: 23156809
  358. Wed Jun 4 01:32:00 2025 relations with 7+ large ideals: 28520737
  359. Wed Jun 4 01:32:00 2025 commencing 2-way merge
  360. Wed Jun 4 01:32:42 2025 reduce to 56343867 relation sets and 53184207 unique ideals
  361. Wed Jun 4 01:32:42 2025 commencing full merge
  362. Wed Jun 4 01:52:22 2025 memory use: 7112.6 MB
  363. Wed Jun 4 01:52:26 2025 found 26827754 cycles, need 26440407
  364. Wed Jun 4 01:52:41 2025 weight of 26440407 cycles is about 3041275256 (115.02/cycle)
  365. Wed Jun 4 01:52:41 2025 distribution of cycle lengths:
  366. Wed Jun 4 01:52:41 2025 1 relations: 1571201
  367. Wed Jun 4 01:52:41 2025 2 relations: 1851768
  368. Wed Jun 4 01:52:41 2025 3 relations: 2040761
  369. Wed Jun 4 01:52:41 2025 4 relations: 2098724
  370. Wed Jun 4 01:52:41 2025 5 relations: 2144032
  371. Wed Jun 4 01:52:41 2025 6 relations: 2141385
  372. Wed Jun 4 01:52:41 2025 7 relations: 2085975
  373. Wed Jun 4 01:52:41 2025 8 relations: 1979516
  374. Wed Jun 4 01:52:41 2025 9 relations: 1826191
  375. Wed Jun 4 01:52:41 2025 10+ relations: 8700854
  376. Wed Jun 4 01:52:41 2025 heaviest cycle: 27 relations
  377. Wed Jun 4 01:52:50 2025 commencing cycle optimization
  378. Wed Jun 4 01:53:54 2025 start with 205555421 relations
  379. Wed Jun 4 02:00:46 2025 pruned 8576972 relations
  380. Wed Jun 4 02:00:46 2025 memory use: 5745.2 MB
  381. Wed Jun 4 02:00:47 2025 distribution of cycle lengths:
  382. Wed Jun 4 02:00:47 2025 1 relations: 1571201
  383. Wed Jun 4 02:00:47 2025 2 relations: 1894831
  384. Wed Jun 4 02:00:47 2025 3 relations: 2122683
  385. Wed Jun 4 02:00:47 2025 4 relations: 2183548
  386. Wed Jun 4 02:00:47 2025 5 relations: 2250138
  387. Wed Jun 4 02:00:47 2025 6 relations: 2243556
  388. Wed Jun 4 02:00:47 2025 7 relations: 2194813
  389. Wed Jun 4 02:00:47 2025 8 relations: 2071471
  390. Wed Jun 4 02:00:47 2025 9 relations: 1904055
  391. Wed Jun 4 02:00:47 2025 10+ relations: 8004111
  392. Wed Jun 4 02:00:47 2025 heaviest cycle: 25 relations
  393. Wed Jun 4 02:01:29 2025 RelProcTime: 14105
  394. Wed Jun 4 02:01:29 2025 elapsed time 03:55:05
  395. Wed Jun 4 11:01:54 2025
  396. Wed Jun 4 11:01:54 2025
  397. Wed Jun 4 11:01:54 2025 Msieve v. 1.54 (SVN 66ed352)
  398. Wed Jun 4 11:01:54 2025 random seeds: a273b212 12f5a929
  399. Wed Jun 4 11:01:54 2025 MPI process 0 of 2
  400. Wed Jun 4 11:01:54 2025 Using 8 OpenMP threads
  401. Wed Jun 4 11:01:54 2025 factoring 14338436831233389815260815879846119851293711680280439033435583928937034575527879201071748245472849731796365468055221565365091956576673372126142926752635021089913916126231900123786268877588790773043169169156361 (209 digits)
  402. Wed Jun 4 11:01:54 2025 no P-1/P+1/ECM available, skipping
  403. Wed Jun 4 11:01:54 2025 commencing number field sieve (209-digit input)
  404. Wed Jun 4 11:01:54 2025 R0: -140515219945627518837736801
  405. Wed Jun 4 11:01:54 2025 R1: 19118715823042429491729074582041753821507871751
  406. Wed Jun 4 11:01:54 2025 A0: 10721
  407. Wed Jun 4 11:01:54 2025 A1: 0
  408. Wed Jun 4 11:01:54 2025 A2: 0
  409. Wed Jun 4 11:01:54 2025 A3: 0
  410. Wed Jun 4 11:01:54 2025 A4: 0
  411. Wed Jun 4 11:01:54 2025 A5: 0
  412. Wed Jun 4 11:01:54 2025 A6: 1
  413. Wed Jun 4 11:01:54 2025 skew 4.70, size 4.079e-14, alpha 0.752, combined = 1.065e-14 rroots = 0
  414. Wed Jun 4 11:01:54 2025
  415. Wed Jun 4 11:01:54 2025 commencing linear algebra
  416. Wed Jun 4 11:01:54 2025 using VBITS=256
  417. Wed Jun 4 11:01:54 2025 initialized process (0,0) of 1 x 2 grid
  418. Wed Jun 4 11:01:56 2025 read 26440407 cycles
  419. Wed Jun 4 11:02:39 2025 cycles contain 86533304 unique relations
  420. Wed Jun 4 11:04:52 2025 read 86533304 relations
  421. Wed Jun 4 11:05:14 2025 using 20 quadratic characters above 4294917295
  422. Wed Jun 4 11:05:46 2025 building initial matrix
  423. Wed Jun 4 11:22:24 2025 memory use: 11739.0 MB
  424. Wed Jun 4 11:22:42 2025 read 26440407 cycles
  425. Wed Jun 4 11:22:45 2025 matrix is 26440228 x 26440407 (12010.8 MB) with weight 3452182937 (130.56/col)
  426. Wed Jun 4 11:22:45 2025 sparse part has weight 2857717105 (108.08/col)
  427. Wed Jun 4 11:26:30 2025 filtering completed in 2 passes
  428. Wed Jun 4 11:26:34 2025 matrix is 26438559 x 26438731 (12010.6 MB) with weight 3452121124 (130.57/col)
  429. Wed Jun 4 11:26:34 2025 sparse part has weight 2857692681 (108.09/col)
  430. Wed Jun 4 11:27:39 2025 matrix starts at (0, 0)
  431. Wed Jun 4 11:27:40 2025 matrix is 26438559 x 13219384 (6005.3 MB) with weight 1726072126 (130.57/col)
  432. Wed Jun 4 11:27:40 2025 sparse part has weight 1428846513 (108.09/col)
  433. Wed Jun 4 11:27:40 2025 saving the first 240 matrix rows for later
  434. Wed Jun 4 11:27:43 2025 matrix includes 256 packed rows
  435. Wed Jun 4 11:27:47 2025 matrix is 26438319 x 13219384 (5545.6 MB) with weight 1306029136 (98.80/col)
  436. Wed Jun 4 11:27:47 2025 sparse part has weight 1242236674 (93.97/col)
  437. Wed Jun 4 11:27:47 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  438. Wed Jun 4 11:27:47 2025 selected card has CUDA arch 8.6
  439. Wed Jun 4 11:29:08 2025 commencing Lanczos iteration
  440. Wed Jun 4 11:29:10 2025 memory use: 14066.4 MB
  441. Wed Jun 4 11:29:58 2025 linear algebra at 0.1%, ETA 11h15m
  442. Wed Jun 4 11:31:09 2025 checking every 30000 dimensions, checkpointing every 2370000 dimensions
  443. Wed Jun 4 22:43:05 2025 lanczos halted after 103584 iterations (dim = 26438316)
  444. Wed Jun 4 22:44:15 2025 recovered 35 nontrivial dependencies
  445. Wed Jun 4 22:44:16 2025 BLanczosTime: 42142
  446. Wed Jun 4 22:44:16 2025 elapsed time 11:42:22
  447. Thu Jun 5 10:51:40 2025
  448. Thu Jun 5 10:51:40 2025
  449. Thu Jun 5 10:51:40 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  450. Thu Jun 5 10:51:40 2025 random seeds: bae455b4 3882181e
  451. Thu Jun 5 10:51:40 2025 Using 16 OpenMP threads
  452. Thu Jun 5 10:51:40 2025 factoring 14338436831233389815260815879846119851293711680280439033435583928937034575527879201071748245472849731796365468055221565365091956576673372126142926752635021089913916126231900123786268877588790773043169169156361 (209 digits)
  453. Thu Jun 5 10:51:41 2025 no P-1/P+1/ECM available, skipping
  454. Thu Jun 5 10:51:41 2025 commencing number field sieve (209-digit input)
  455. Thu Jun 5 10:51:41 2025 R0: -140515219945627518837736801
  456. Thu Jun 5 10:51:41 2025 R1: 19118715823042429491729074582041753821507871751
  457. Thu Jun 5 10:51:41 2025 A0: 10721
  458. Thu Jun 5 10:51:41 2025 A1: 0
  459. Thu Jun 5 10:51:41 2025 A2: 0
  460. Thu Jun 5 10:51:41 2025 A3: 0
  461. Thu Jun 5 10:51:41 2025 A4: 0
  462. Thu Jun 5 10:51:41 2025 A5: 0
  463. Thu Jun 5 10:51:41 2025 A6: 1
  464. Thu Jun 5 10:51:41 2025 skew 4.70, size 4.079e-14, alpha 0.752, combined = 1.065e-14 rroots = 0
  465. Thu Jun 5 10:51:41 2025
  466. Thu Jun 5 10:51:41 2025 commencing square root phase
  467. Thu Jun 5 10:51:41 2025 reading relations for dependency 1
  468. Thu Jun 5 10:51:42 2025 read 13219613 cycles
  469. Thu Jun 5 10:52:02 2025 cycles contain 43274854 unique relations
  470. Thu Jun 5 10:53:56 2025 read 43274854 relations
  471. Thu Jun 5 10:56:33 2025 multiplying 43274854 relations
  472. Thu Jun 5 10:59:52 2025 multiply complete, coefficients have about 1237.13 million bits
  473. Thu Jun 5 10:59:54 2025 initial square root is modulo 354391
  474. Thu Jun 5 11:07:23 2025 GCD is 1, no factor found
  475. Thu Jun 5 11:07:23 2025 reading relations for dependency 2
  476. Thu Jun 5 11:07:25 2025 read 13215861 cycles
  477. Thu Jun 5 11:07:46 2025 cycles contain 43261664 unique relations
  478. Thu Jun 5 11:09:06 2025 read 43261664 relations
  479. Thu Jun 5 11:11:35 2025 multiplying 43261664 relations
  480. Thu Jun 5 11:14:53 2025 multiply complete, coefficients have about 1236.75 million bits
  481. Thu Jun 5 11:14:55 2025 initial square root is modulo 353161
  482. Thu Jun 5 11:22:21 2025 GCD is N, no factor found
  483. Thu Jun 5 11:22:21 2025 reading relations for dependency 3
  484. Thu Jun 5 11:22:23 2025 read 13219763 cycles
  485. Thu Jun 5 11:22:45 2025 cycles contain 43255142 unique relations
  486. Thu Jun 5 11:23:56 2025 read 43255142 relations
  487. Thu Jun 5 11:26:27 2025 multiplying 43255142 relations
  488. Thu Jun 5 11:29:49 2025 multiply complete, coefficients have about 1236.57 million bits
  489. Thu Jun 5 11:29:51 2025 initial square root is modulo 352327
  490. Thu Jun 5 11:37:17 2025 sqrtTime: 2736
  491. Thu Jun 5 11:37:17 2025 p86 factor: 15029468984900754102607695288171948410680825793822835451406810635119624112235219778911
  492. Thu Jun 5 11:37:17 2025 p123 factor: 954021519032934252204307612758291732418034129920643067984653170796087767988212097953296764001961338347579340883981223692951
  493. Thu Jun 5 11:37:17 2025 elapsed time 00:45:37
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