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  1. Mon Aug 31 12:08:40 2026
  2. Mon Aug 31 12:08:40 2026
  3. Mon Aug 31 12:08:40 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Aug 31 12:08:40 2026 random seeds: 5e3b6da3 30f29753
  5. Mon Aug 31 12:08:40 2026 MPI process 0 of 1
  6. Mon Aug 31 12:08:40 2026 Using 46 OpenMP threads
  7. Mon Aug 31 12:08:40 2026 factoring 4898552437589062456044450582609659625755927399535946392210296424249255206218536750418034330949054530474936154086076336681029569982387704461265998888543099079162293684518597415606942730286852208154632387544269866009351070578499715890406204651055844102435270568003749053 (268 digits)
  8. Mon Aug 31 12:08:41 2026 no P-1/P+1/ECM available, skipping
  9. Mon Aug 31 12:08:41 2026 commencing number field sieve (268-digit input)
  10. Mon Aug 31 12:08:41 2026 R0: 72890483685103052142902866787761839379440139451
  11. Mon Aug 31 12:08:41 2026 R1: -107006904423598033356356300384937784807
  12. Mon Aug 31 12:08:41 2026 A0: 11
  13. Mon Aug 31 12:08:41 2026 A1: 0
  14. Mon Aug 31 12:08:41 2026 A2: 0
  15. Mon Aug 31 12:08:41 2026 A3: 0
  16. Mon Aug 31 12:08:41 2026 A4: 0
  17. Mon Aug 31 12:08:41 2026 A5: 0
  18. Mon Aug 31 12:08:41 2026 A6: 7
  19. Mon Aug 31 12:08:41 2026 skew 1.47, size 6.915e-14, alpha 0.844, combined = 1.533e-14 rroots = 0
  20. Mon Aug 31 12:08:41 2026
  21. Mon Aug 31 12:08:41 2026 commencing relation filtering
  22. Mon Aug 31 12:08:41 2026 setting target matrix density to 110.0
  23. Mon Aug 31 12:08:41 2026 estimated available RAM is 192068.7 MB
  24. Mon Aug 31 12:08:41 2026 commencing duplicate removal, pass 1
  25. Mon Aug 31 12:18:55 2026 found 207178226 hash collisions in 909738995 relations
  26. Mon Aug 31 12:19:10 2026 added 1218844 free relations
  27. Mon Aug 31 12:19:10 2026 commencing duplicate removal, pass 2
  28. Mon Aug 31 12:24:50 2026 found 227780848 duplicates and 683176991 unique relations
  29. Mon Aug 31 12:24:50 2026 memory use: 10280.0 MB
  30. Mon Aug 31 12:24:50 2026 reading ideals above 464977920
  31. Mon Aug 31 12:24:50 2026 commencing singleton removal, initial pass
  32. Mon Aug 31 12:33:43 2026 LP64 contains 683176991 relations and 581450479 unique large ideals
  33. Mon Aug 31 12:33:43 2026 memory use: 19292.0 MB
  34. Mon Aug 31 12:33:44 2026 preparing 64-bit LP file for common filtering
  35. Mon Aug 31 12:33:44 2026 start with 683176991 relations and 581450479 ideals
  36. Mon Aug 31 12:34:40 2026 compacted LP dataset has 683176991 relations and 581450479 large ideals
  37. Mon Aug 31 12:34:40 2026 reading all ideals from disk
  38. Mon Aug 31 12:34:47 2026 memory use: 17331.8 MB
  39. Mon Aug 31 12:34:54 2026 commencing in-memory singleton removal
  40. Mon Aug 31 12:34:57 2026 begin with 683176991 relations and 581450479 unique ideals
  41. Mon Aug 31 12:35:16 2026 reduce to 427782096 relations and 300199368 ideals in 17 passes
  42. Mon Aug 31 12:35:16 2026 max relations containing the same ideal: 41
  43. Mon Aug 31 12:35:32 2026 reading ideals above 720000
  44. Mon Aug 31 12:35:32 2026 commencing singleton removal, initial pass
  45. Mon Aug 31 12:47:53 2026 LP64 contains 427782096 relations and 349290209 unique large ideals
  46. Mon Aug 31 12:47:53 2026 memory use: 10776.0 MB
  47. Mon Aug 31 12:47:55 2026 preparing 64-bit LP file for common filtering
  48. Mon Aug 31 12:47:55 2026 start with 427782096 relations and 349290209 ideals
  49. Mon Aug 31 12:49:00 2026 compacted LP dataset has 427782096 relations and 349290209 large ideals
  50. Mon Aug 31 12:49:00 2026 reading all ideals from disk
  51. Mon Aug 31 12:49:11 2026 memory use: 21757.4 MB
  52. Mon Aug 31 12:49:22 2026 keeping 347192269 ideals with weight <= 200, target excess is 2213324
  53. Mon Aug 31 12:50:14 2026 commencing in-memory singleton removal
  54. Mon Aug 31 12:50:19 2026 begin with 427782096 relations and 347192269 unique ideals
  55. Mon Aug 31 12:50:35 2026 reduce to 427764278 relations and 347174449 ideals in 9 passes
  56. Mon Aug 31 12:50:35 2026 max relations containing the same ideal: 200
  57. Mon Aug 31 12:52:22 2026 removing 15332418 relations and 13332418 ideals in 2000000 cliques
  58. Mon Aug 31 12:52:26 2026 commencing in-memory singleton removal
  59. Mon Aug 31 12:52:32 2026 begin with 412431860 relations and 347174449 unique ideals
  60. Mon Aug 31 12:52:49 2026 reduce to 412013233 relations and 333420476 ideals in 8 passes
  61. Mon Aug 31 12:52:49 2026 max relations containing the same ideal: 200
  62. Mon Aug 31 12:54:31 2026 removing 11513238 relations and 9513238 ideals in 2000000 cliques
  63. Mon Aug 31 12:54:36 2026 commencing in-memory singleton removal
  64. Mon Aug 31 12:54:42 2026 begin with 400499995 relations and 333420476 unique ideals
  65. Mon Aug 31 12:54:58 2026 reduce to 400239296 relations and 323645029 ideals in 8 passes
  66. Mon Aug 31 12:54:58 2026 max relations containing the same ideal: 199
  67. Mon Aug 31 12:56:51 2026 removing 10296791 relations and 8296791 ideals in 2000000 cliques
  68. Mon Aug 31 12:56:56 2026 commencing in-memory singleton removal
  69. Mon Aug 31 12:57:01 2026 begin with 389942505 relations and 323645029 unique ideals
  70. Mon Aug 31 12:57:13 2026 reduce to 389725285 relations and 315129810 ideals in 7 passes
  71. Mon Aug 31 12:57:13 2026 max relations containing the same ideal: 197
  72. Mon Aug 31 12:58:55 2026 removing 9613029 relations and 7613029 ideals in 2000000 cliques
  73. Mon Aug 31 12:58:59 2026 commencing in-memory singleton removal
  74. Mon Aug 31 12:59:04 2026 begin with 380112256 relations and 315129810 unique ideals
  75. Mon Aug 31 12:59:17 2026 reduce to 379915771 relations and 307319249 ideals in 8 passes
  76. Mon Aug 31 12:59:17 2026 max relations containing the same ideal: 195
  77. Mon Aug 31 13:00:54 2026 removing 9138100 relations and 7138100 ideals in 2000000 cliques
  78. Mon Aug 31 13:00:58 2026 commencing in-memory singleton removal
  79. Mon Aug 31 13:01:03 2026 begin with 370777671 relations and 307319249 unique ideals
  80. Mon Aug 31 13:01:15 2026 reduce to 370592892 relations and 299995465 ideals in 7 passes
  81. Mon Aug 31 13:01:15 2026 max relations containing the same ideal: 193
  82. Mon Aug 31 13:02:47 2026 removing 8798626 relations and 6798626 ideals in 2000000 cliques
  83. Mon Aug 31 13:02:51 2026 commencing in-memory singleton removal
  84. Mon Aug 31 13:02:55 2026 begin with 361794266 relations and 299995465 unique ideals
  85. Mon Aug 31 13:03:08 2026 reduce to 361619006 relations and 293020686 ideals in 7 passes
  86. Mon Aug 31 13:03:08 2026 max relations containing the same ideal: 189
  87. Mon Aug 31 13:04:36 2026 removing 8529422 relations and 6529422 ideals in 2000000 cliques
  88. Mon Aug 31 13:04:40 2026 commencing in-memory singleton removal
  89. Mon Aug 31 13:04:44 2026 begin with 353089584 relations and 293020686 unique ideals
  90. Mon Aug 31 13:04:56 2026 reduce to 352920985 relations and 286321767 ideals in 7 passes
  91. Mon Aug 31 13:04:56 2026 max relations containing the same ideal: 188
  92. Mon Aug 31 13:06:26 2026 removing 8319977 relations and 6319977 ideals in 2000000 cliques
  93. Mon Aug 31 13:06:30 2026 commencing in-memory singleton removal
  94. Mon Aug 31 13:06:35 2026 begin with 344601008 relations and 286321767 unique ideals
  95. Mon Aug 31 13:06:48 2026 reduce to 344436455 relations and 279836378 ideals in 7 passes
  96. Mon Aug 31 13:06:48 2026 max relations containing the same ideal: 186
  97. Mon Aug 31 13:08:09 2026 removing 8146120 relations and 6146120 ideals in 2000000 cliques
  98. Mon Aug 31 13:08:13 2026 commencing in-memory singleton removal
  99. Mon Aug 31 13:08:18 2026 begin with 336290335 relations and 279836378 unique ideals
  100. Mon Aug 31 13:08:29 2026 reduce to 336129266 relations and 273528269 ideals in 6 passes
  101. Mon Aug 31 13:08:29 2026 max relations containing the same ideal: 185
  102. Mon Aug 31 13:09:49 2026 removing 8006653 relations and 6006653 ideals in 2000000 cliques
  103. Mon Aug 31 13:09:53 2026 commencing in-memory singleton removal
  104. Mon Aug 31 13:09:57 2026 begin with 328122613 relations and 273528269 unique ideals
  105. Mon Aug 31 13:10:09 2026 reduce to 327962642 relations and 267360705 ideals in 6 passes
  106. Mon Aug 31 13:10:09 2026 max relations containing the same ideal: 180
  107. Mon Aug 31 13:11:45 2026 removing 7890037 relations and 5890037 ideals in 2000000 cliques
  108. Mon Aug 31 13:11:49 2026 commencing in-memory singleton removal
  109. Mon Aug 31 13:11:53 2026 begin with 320072605 relations and 267360705 unique ideals
  110. Mon Aug 31 13:12:04 2026 reduce to 319914541 relations and 261311693 ideals in 6 passes
  111. Mon Aug 31 13:12:04 2026 max relations containing the same ideal: 177
  112. Mon Aug 31 13:13:21 2026 removing 7790127 relations and 5790127 ideals in 2000000 cliques
  113. Mon Aug 31 13:13:25 2026 commencing in-memory singleton removal
  114. Mon Aug 31 13:13:29 2026 begin with 312124414 relations and 261311693 unique ideals
  115. Mon Aug 31 13:13:41 2026 reduce to 311967279 relations and 255363453 ideals in 7 passes
  116. Mon Aug 31 13:13:41 2026 max relations containing the same ideal: 174
  117. Mon Aug 31 13:14:56 2026 removing 7707198 relations and 5707198 ideals in 2000000 cliques
  118. Mon Aug 31 13:15:00 2026 commencing in-memory singleton removal
  119. Mon Aug 31 13:15:04 2026 begin with 304260081 relations and 255363453 unique ideals
  120. Mon Aug 31 13:15:15 2026 reduce to 304101368 relations and 249496549 ideals in 8 passes
  121. Mon Aug 31 13:15:15 2026 max relations containing the same ideal: 172
  122. Mon Aug 31 13:16:32 2026 removing 7636636 relations and 5636636 ideals in 2000000 cliques
  123. Mon Aug 31 13:16:35 2026 commencing in-memory singleton removal
  124. Mon Aug 31 13:16:39 2026 begin with 296464732 relations and 249496549 unique ideals
  125. Mon Aug 31 13:16:48 2026 reduce to 296307169 relations and 243701291 ideals in 6 passes
  126. Mon Aug 31 13:16:48 2026 max relations containing the same ideal: 168
  127. Mon Aug 31 13:18:01 2026 removing 7573483 relations and 5573483 ideals in 2000000 cliques
  128. Mon Aug 31 13:18:05 2026 commencing in-memory singleton removal
  129. Mon Aug 31 13:18:08 2026 begin with 288733686 relations and 243701291 unique ideals
  130. Mon Aug 31 13:18:17 2026 reduce to 288573399 relations and 237966456 ideals in 6 passes
  131. Mon Aug 31 13:18:17 2026 max relations containing the same ideal: 165
  132. Mon Aug 31 13:19:29 2026 removing 7521234 relations and 5521234 ideals in 2000000 cliques
  133. Mon Aug 31 13:19:32 2026 commencing in-memory singleton removal
  134. Mon Aug 31 13:19:35 2026 begin with 281052165 relations and 237966456 unique ideals
  135. Mon Aug 31 13:19:44 2026 reduce to 280890558 relations and 232282493 ideals in 6 passes
  136. Mon Aug 31 13:19:44 2026 max relations containing the same ideal: 164
  137. Mon Aug 31 13:20:54 2026 removing 7481909 relations and 5481909 ideals in 2000000 cliques
  138. Mon Aug 31 13:20:57 2026 commencing in-memory singleton removal
  139. Mon Aug 31 13:21:00 2026 begin with 273408649 relations and 232282493 unique ideals
  140. Mon Aug 31 13:21:09 2026 reduce to 273245258 relations and 226636085 ideals in 7 passes
  141. Mon Aug 31 13:21:09 2026 max relations containing the same ideal: 163
  142. Mon Aug 31 13:22:16 2026 removing 7440849 relations and 5440849 ideals in 2000000 cliques
  143. Mon Aug 31 13:22:19 2026 commencing in-memory singleton removal
  144. Mon Aug 31 13:22:23 2026 begin with 265804409 relations and 226636085 unique ideals
  145. Mon Aug 31 13:22:32 2026 reduce to 265638684 relations and 221028326 ideals in 6 passes
  146. Mon Aug 31 13:22:32 2026 max relations containing the same ideal: 159
  147. Mon Aug 31 13:23:36 2026 removing 7410272 relations and 5410272 ideals in 2000000 cliques
  148. Mon Aug 31 13:23:39 2026 commencing in-memory singleton removal
  149. Mon Aug 31 13:23:42 2026 begin with 258228412 relations and 221028326 unique ideals
  150. Mon Aug 31 13:23:53 2026 reduce to 258060310 relations and 215448708 ideals in 7 passes
  151. Mon Aug 31 13:23:53 2026 max relations containing the same ideal: 155
  152. Mon Aug 31 13:24:55 2026 removing 7386841 relations and 5386841 ideals in 2000000 cliques
  153. Mon Aug 31 13:24:58 2026 commencing in-memory singleton removal
  154. Mon Aug 31 13:25:01 2026 begin with 250673469 relations and 215448708 unique ideals
  155. Mon Aug 31 13:25:10 2026 reduce to 250502649 relations and 209889657 ideals in 6 passes
  156. Mon Aug 31 13:25:10 2026 max relations containing the same ideal: 153
  157. Mon Aug 31 13:26:11 2026 removing 7367994 relations and 5367994 ideals in 2000000 cliques
  158. Mon Aug 31 13:26:14 2026 commencing in-memory singleton removal
  159. Mon Aug 31 13:26:17 2026 begin with 243134655 relations and 209889657 unique ideals
  160. Mon Aug 31 13:26:25 2026 reduce to 242960483 relations and 204346115 ideals in 6 passes
  161. Mon Aug 31 13:26:25 2026 max relations containing the same ideal: 149
  162. Mon Aug 31 13:27:24 2026 removing 7358007 relations and 5358007 ideals in 2000000 cliques
  163. Mon Aug 31 13:27:27 2026 commencing in-memory singleton removal
  164. Mon Aug 31 13:27:30 2026 begin with 235602476 relations and 204346115 unique ideals
  165. Mon Aug 31 13:27:37 2026 reduce to 235423768 relations and 198807947 ideals in 6 passes
  166. Mon Aug 31 13:27:37 2026 max relations containing the same ideal: 146
  167. Mon Aug 31 13:28:35 2026 removing 7347206 relations and 5347206 ideals in 2000000 cliques
  168. Mon Aug 31 13:28:37 2026 commencing in-memory singleton removal
  169. Mon Aug 31 13:28:40 2026 begin with 228076562 relations and 198807947 unique ideals
  170. Mon Aug 31 13:28:49 2026 reduce to 227894881 relations and 193277513 ideals in 7 passes
  171. Mon Aug 31 13:28:49 2026 max relations containing the same ideal: 143
  172. Mon Aug 31 13:29:45 2026 removing 7341902 relations and 5341902 ideals in 2000000 cliques
  173. Mon Aug 31 13:29:48 2026 commencing in-memory singleton removal
  174. Mon Aug 31 13:29:51 2026 begin with 220552979 relations and 193277513 unique ideals
  175. Mon Aug 31 13:30:01 2026 reduce to 220366513 relations and 187747483 ideals in 8 passes
  176. Mon Aug 31 13:30:01 2026 max relations containing the same ideal: 142
  177. Mon Aug 31 13:30:55 2026 removing 7341945 relations and 5341945 ideals in 2000000 cliques
  178. Mon Aug 31 13:30:57 2026 commencing in-memory singleton removal
  179. Mon Aug 31 13:31:00 2026 begin with 213024568 relations and 187747483 unique ideals
  180. Mon Aug 31 13:31:07 2026 reduce to 212831012 relations and 182210240 ideals in 6 passes
  181. Mon Aug 31 13:31:07 2026 max relations containing the same ideal: 141
  182. Mon Aug 31 13:31:59 2026 removing 7342381 relations and 5342381 ideals in 2000000 cliques
  183. Mon Aug 31 13:32:02 2026 commencing in-memory singleton removal
  184. Mon Aug 31 13:32:04 2026 begin with 205488631 relations and 182210240 unique ideals
  185. Mon Aug 31 13:32:12 2026 reduce to 205289375 relations and 176666737 ideals in 6 passes
  186. Mon Aug 31 13:32:12 2026 max relations containing the same ideal: 139
  187. Mon Aug 31 13:33:02 2026 removing 7349639 relations and 5349639 ideals in 2000000 cliques
  188. Mon Aug 31 13:33:04 2026 commencing in-memory singleton removal
  189. Mon Aug 31 13:33:07 2026 begin with 197939736 relations and 176666737 unique ideals
  190. Mon Aug 31 13:33:16 2026 reduce to 197734557 relations and 171109971 ideals in 8 passes
  191. Mon Aug 31 13:33:16 2026 max relations containing the same ideal: 134
  192. Mon Aug 31 13:34:05 2026 removing 7357790 relations and 5357790 ideals in 2000000 cliques
  193. Mon Aug 31 13:34:07 2026 commencing in-memory singleton removal
  194. Mon Aug 31 13:34:10 2026 begin with 190376767 relations and 171109971 unique ideals
  195. Mon Aug 31 13:34:17 2026 reduce to 190163820 relations and 165537143 ideals in 6 passes
  196. Mon Aug 31 13:34:17 2026 max relations containing the same ideal: 131
  197. Mon Aug 31 13:35:04 2026 removing 7372122 relations and 5372122 ideals in 2000000 cliques
  198. Mon Aug 31 13:35:06 2026 commencing in-memory singleton removal
  199. Mon Aug 31 13:35:09 2026 begin with 182791698 relations and 165537143 unique ideals
  200. Mon Aug 31 13:35:16 2026 reduce to 182572872 relations and 159943976 ideals in 7 passes
  201. Mon Aug 31 13:35:16 2026 max relations containing the same ideal: 127
  202. Mon Aug 31 13:36:01 2026 removing 7390762 relations and 5390762 ideals in 2000000 cliques
  203. Mon Aug 31 13:36:03 2026 commencing in-memory singleton removal
  204. Mon Aug 31 13:36:06 2026 begin with 175182110 relations and 159943976 unique ideals
  205. Mon Aug 31 13:36:12 2026 reduce to 174954820 relations and 154323545 ideals in 6 passes
  206. Mon Aug 31 13:36:12 2026 max relations containing the same ideal: 122
  207. Mon Aug 31 13:36:56 2026 removing 7416537 relations and 5416537 ideals in 2000000 cliques
  208. Mon Aug 31 13:36:58 2026 commencing in-memory singleton removal
  209. Mon Aug 31 13:37:00 2026 begin with 167538283 relations and 154323545 unique ideals
  210. Mon Aug 31 13:37:07 2026 reduce to 167300899 relations and 148667046 ideals in 7 passes
  211. Mon Aug 31 13:37:07 2026 max relations containing the same ideal: 119
  212. Mon Aug 31 13:37:49 2026 removing 7440773 relations and 5440773 ideals in 2000000 cliques
  213. Mon Aug 31 13:37:51 2026 commencing in-memory singleton removal
  214. Mon Aug 31 13:37:53 2026 begin with 159860126 relations and 148667046 unique ideals
  215. Mon Aug 31 13:37:58 2026 reduce to 159612955 relations and 142976369 ideals in 6 passes
  216. Mon Aug 31 13:37:58 2026 max relations containing the same ideal: 116
  217. Mon Aug 31 13:38:39 2026 removing 7467319 relations and 5467319 ideals in 2000000 cliques
  218. Mon Aug 31 13:38:41 2026 commencing in-memory singleton removal
  219. Mon Aug 31 13:38:43 2026 begin with 152145636 relations and 142976369 unique ideals
  220. Mon Aug 31 13:38:48 2026 reduce to 151886910 relations and 137247307 ideals in 7 passes
  221. Mon Aug 31 13:38:48 2026 max relations containing the same ideal: 111
  222. Mon Aug 31 13:39:28 2026 removing 7501671 relations and 5501671 ideals in 2000000 cliques
  223. Mon Aug 31 13:39:30 2026 commencing in-memory singleton removal
  224. Mon Aug 31 13:39:32 2026 begin with 144385239 relations and 137247307 unique ideals
  225. Mon Aug 31 13:39:36 2026 reduce to 144111953 relations and 131469191 ideals in 6 passes
  226. Mon Aug 31 13:39:36 2026 max relations containing the same ideal: 107
  227. Mon Aug 31 13:40:15 2026 removing 7544728 relations and 5544728 ideals in 2000000 cliques
  228. Mon Aug 31 13:40:17 2026 commencing in-memory singleton removal
  229. Mon Aug 31 13:40:19 2026 begin with 136567225 relations and 131469191 unique ideals
  230. Mon Aug 31 13:40:23 2026 reduce to 136279523 relations and 125633296 ideals in 6 passes
  231. Mon Aug 31 13:40:23 2026 max relations containing the same ideal: 104
  232. Mon Aug 31 13:41:00 2026 removing 7590362 relations and 5590362 ideals in 2000000 cliques
  233. Mon Aug 31 13:41:02 2026 commencing in-memory singleton removal
  234. Mon Aug 31 13:41:03 2026 begin with 128689161 relations and 125633296 unique ideals
  235. Mon Aug 31 13:41:09 2026 reduce to 128382848 relations and 119732664 ideals in 8 passes
  236. Mon Aug 31 13:41:09 2026 max relations containing the same ideal: 101
  237. Mon Aug 31 13:41:43 2026 removing 7637750 relations and 5637750 ideals in 2000000 cliques
  238. Mon Aug 31 13:41:44 2026 commencing in-memory singleton removal
  239. Mon Aug 31 13:41:45 2026 begin with 120745098 relations and 119732664 unique ideals
  240. Mon Aug 31 13:41:50 2026 reduce to 120418456 relations and 113763771 ideals in 7 passes
  241. Mon Aug 31 13:41:50 2026 max relations containing the same ideal: 95
  242. Mon Aug 31 13:42:22 2026 removing 7696917 relations and 5696917 ideals in 2000000 cliques
  243. Mon Aug 31 13:42:23 2026 commencing in-memory singleton removal
  244. Mon Aug 31 13:42:25 2026 begin with 112721539 relations and 113763771 unique ideals
  245. Mon Aug 31 13:42:29 2026 reduce to 112364869 relations and 107705082 ideals in 7 passes
  246. Mon Aug 31 13:42:29 2026 max relations containing the same ideal: 90
  247. Mon Aug 31 13:42:59 2026 removing 7768723 relations and 5768723 ideals in 2000000 cliques
  248. Mon Aug 31 13:43:00 2026 commencing in-memory singleton removal
  249. Mon Aug 31 13:43:02 2026 begin with 104596146 relations and 107705082 unique ideals
  250. Mon Aug 31 13:43:06 2026 reduce to 104205548 relations and 101539901 ideals in 8 passes
  251. Mon Aug 31 13:43:06 2026 max relations containing the same ideal: 86
  252. Mon Aug 31 13:43:34 2026 removing 611321 relations and 513130 ideals in 98191 cliques
  253. Mon Aug 31 13:43:35 2026 commencing in-memory singleton removal
  254. Mon Aug 31 13:43:36 2026 begin with 103594227 relations and 101539901 unique ideals
  255. Mon Aug 31 13:43:39 2026 reduce to 103592164 relations and 101024704 ideals in 5 passes
  256. Mon Aug 31 13:43:39 2026 max relations containing the same ideal: 86
  257. Mon Aug 31 13:43:40 2026 relations with 0 large ideals: 84319
  258. Mon Aug 31 13:43:40 2026 relations with 1 large ideals: 42937
  259. Mon Aug 31 13:43:40 2026 relations with 2 large ideals: 552745
  260. Mon Aug 31 13:43:40 2026 relations with 3 large ideals: 3380372
  261. Mon Aug 31 13:43:40 2026 relations with 4 large ideals: 11184566
  262. Mon Aug 31 13:43:40 2026 relations with 5 large ideals: 22182474
  263. Mon Aug 31 13:43:40 2026 relations with 6 large ideals: 27653019
  264. Mon Aug 31 13:43:40 2026 relations with 7+ large ideals: 38511732
  265. Mon Aug 31 13:43:40 2026 commencing 2-way merge
  266. Mon Aug 31 13:44:19 2026 reduce to 66268362 relation sets and 63700902 unique ideals
  267. Mon Aug 31 13:44:19 2026 commencing full merge
  268. Mon Aug 31 14:01:30 2026 memory use: 8606.3 MB
  269. Mon Aug 31 14:01:31 2026 found 31347957 cycles, need 31041102
  270. Mon Aug 31 14:01:38 2026 weight of 31041102 cycles is about 3414972851 (110.01/cycle)
  271. Mon Aug 31 14:01:38 2026 distribution of cycle lengths:
  272. Mon Aug 31 14:01:38 2026 1 relations: 1862877
  273. Mon Aug 31 14:01:38 2026 2 relations: 2277257
  274. Mon Aug 31 14:01:38 2026 3 relations: 2542576
  275. Mon Aug 31 14:01:38 2026 4 relations: 2548970
  276. Mon Aug 31 14:01:38 2026 5 relations: 2551254
  277. Mon Aug 31 14:01:38 2026 6 relations: 2498341
  278. Mon Aug 31 14:01:38 2026 7 relations: 2387790
  279. Mon Aug 31 14:01:38 2026 8 relations: 2246650
  280. Mon Aug 31 14:01:38 2026 9 relations: 2062604
  281. Mon Aug 31 14:01:38 2026 10+ relations: 10062783
  282. Mon Aug 31 14:01:38 2026 heaviest cycle: 27 relations
  283. Mon Aug 31 14:01:41 2026 commencing cycle optimization
  284. Mon Aug 31 14:02:25 2026 start with 239938159 relations
  285. Mon Aug 31 14:08:40 2026 pruned 9007222 relations
  286. Mon Aug 31 14:08:40 2026 memory use: 7080.1 MB
  287. Mon Aug 31 14:08:41 2026 distribution of cycle lengths:
  288. Mon Aug 31 14:08:41 2026 1 relations: 1862877
  289. Mon Aug 31 14:08:41 2026 2 relations: 2330192
  290. Mon Aug 31 14:08:41 2026 3 relations: 2642294
  291. Mon Aug 31 14:08:41 2026 4 relations: 2643219
  292. Mon Aug 31 14:08:41 2026 5 relations: 2662966
  293. Mon Aug 31 14:08:41 2026 6 relations: 2596312
  294. Mon Aug 31 14:08:41 2026 7 relations: 2488276
  295. Mon Aug 31 14:08:41 2026 8 relations: 2326455
  296. Mon Aug 31 14:08:41 2026 9 relations: 2128266
  297. Mon Aug 31 14:08:41 2026 10+ relations: 9360245
  298. Mon Aug 31 14:08:41 2026 heaviest cycle: 26 relations
  299. Mon Aug 31 14:08:49 2026 RelProcTime: 7208
  300. Mon Aug 31 14:08:49 2026 elapsed time 02:00:09
  301. Mon Aug 31 14:08:50 2026
  302. Mon Aug 31 14:08:50 2026
  303. Mon Aug 31 14:08:50 2026 Msieve v. 1.54 (SVN Unversioned directory)
  304. Mon Aug 31 14:08:50 2026 random seeds: 060af0ed b9b61706
  305. Mon Aug 31 14:08:50 2026 MPI process 0 of 1
  306. Mon Aug 31 14:08:50 2026 Using 46 OpenMP threads
  307. Mon Aug 31 14:08:50 2026 factoring 4898552437589062456044450582609659625755927399535946392210296424249255206218536750418034330949054530474936154086076336681029569982387704461265998888543099079162293684518597415606942730286852208154632387544269866009351070578499715890406204651055844102435270568003749053 (268 digits)
  308. Mon Aug 31 14:08:51 2026 no P-1/P+1/ECM available, skipping
  309. Mon Aug 31 14:08:51 2026 commencing number field sieve (268-digit input)
  310. Mon Aug 31 14:08:51 2026 R0: 72890483685103052142902866787761839379440139451
  311. Mon Aug 31 14:08:51 2026 R1: -107006904423598033356356300384937784807
  312. Mon Aug 31 14:08:51 2026 A0: 11
  313. Mon Aug 31 14:08:51 2026 A1: 0
  314. Mon Aug 31 14:08:51 2026 A2: 0
  315. Mon Aug 31 14:08:51 2026 A3: 0
  316. Mon Aug 31 14:08:51 2026 A4: 0
  317. Mon Aug 31 14:08:51 2026 A5: 0
  318. Mon Aug 31 14:08:51 2026 A6: 7
  319. Mon Aug 31 14:08:51 2026 skew 1.47, size 6.915e-14, alpha 0.844, combined = 1.533e-14 rroots = 0
  320. Mon Aug 31 14:08:51 2026
  321. Mon Aug 31 14:08:51 2026 commencing linear algebra
  322. Mon Aug 31 14:08:51 2026 using VBITS=128
  323. Mon Aug 31 14:08:51 2026 stopping after matrix build
  324. Mon Aug 31 14:08:51 2026 initialized process (0,0) of 1 x 1 grid
  325. Mon Aug 31 14:08:55 2026 read 31041102 cycles
  326. Mon Aug 31 14:10:05 2026 cycles contain 102291998 unique relations
  327. Mon Aug 31 14:11:28 2026 read 102291998 relations
  328. Mon Aug 31 14:11:35 2026 using 20 quadratic characters above 4294917295
  329. Mon Aug 31 14:11:48 2026 building initial matrix
  330. Mon Aug 31 14:31:11 2026 memory use: 13243.9 MB
  331. Mon Aug 31 14:31:45 2026 read 31041102 cycles
  332. Mon Aug 31 14:31:48 2026 matrix is 31040924 x 31041102 (13613.7 MB) with weight 3896422613 (125.52/col)
  333. Mon Aug 31 14:31:48 2026 sparse part has weight 3227309349 (103.97/col)
  334. Mon Aug 31 14:38:27 2026 filtering completed in 2 passes
  335. Mon Aug 31 14:38:32 2026 matrix is 31039089 x 31039265 (13613.6 MB) with weight 3896362482 (125.53/col)
  336. Mon Aug 31 14:38:32 2026 sparse part has weight 3227287797 (103.97/col)
  337. Mon Aug 31 14:39:46 2026 BLanczosTime: 1855
  338. Mon Aug 31 14:39:46 2026 elapsed time 00:30:56
  339. Mon Aug 31 15:12:54 2026
  340. Mon Aug 31 15:12:54 2026
  341. Mon Aug 31 15:12:54 2026 Msieve v. 1.54 (SVN Unversioned directory)
  342. Mon Aug 31 15:12:54 2026 random seeds: 1dab7606 7d5a27f7
  343. Mon Aug 31 15:12:54 2026 MPI process 0 of 2
  344. Mon Aug 31 15:12:54 2026 Using 6 OpenMP threads
  345. Mon Aug 31 15:12:54 2026 factoring 4898552437589062456044450582609659625755927399535946392210296424249255206218536750418034330949054530474936154086076336681029569982387704461265998888543099079162293684518597415606942730286852208154632387544269866009351070578499715890406204651055844102435270568003749053 (268 digits)
  346. Mon Aug 31 15:12:55 2026 no P-1/P+1/ECM available, skipping
  347. Mon Aug 31 15:12:55 2026 commencing number field sieve (268-digit input)
  348. Mon Aug 31 15:12:55 2026 R0: 72890483685103052142902866787761839379440139451
  349. Mon Aug 31 15:12:55 2026 R1: -107006904423598033356356300384937784807
  350. Mon Aug 31 15:12:55 2026 A0: 11
  351. Mon Aug 31 15:12:55 2026 A1: 0
  352. Mon Aug 31 15:12:55 2026 A2: 0
  353. Mon Aug 31 15:12:55 2026 A3: 0
  354. Mon Aug 31 15:12:55 2026 A4: 0
  355. Mon Aug 31 15:12:55 2026 A5: 0
  356. Mon Aug 31 15:12:55 2026 A6: 7
  357. Mon Aug 31 15:12:55 2026 skew 1.47, size 6.915e-14, alpha 0.844, combined = 1.533e-14 rroots = 0
  358. Mon Aug 31 15:12:55 2026
  359. Mon Aug 31 15:12:55 2026 commencing linear algebra
  360. Mon Aug 31 15:12:55 2026 using VBITS=256
  361. Mon Aug 31 15:12:55 2026 skipping matrix build
  362. Mon Aug 31 15:12:55 2026 initialized process (0,0) of 1 x 2 grid
  363. Mon Aug 31 15:13:04 2026 matrix starts at (0, 0)
  364. Mon Aug 31 15:13:05 2026 matrix is 31039089 x 15519631 (6806.8 MB) with weight 1948187573 (125.53/col)
  365. Mon Aug 31 15:13:05 2026 sparse part has weight 1613644054 (103.97/col)
  366. Mon Aug 31 15:13:05 2026 saving the first 240 matrix rows for later
  367. Mon Aug 31 15:13:09 2026 matrix includes 256 packed rows
  368. Mon Aug 31 15:13:12 2026 matrix is 31038849 x 15519631 (6316.6 MB) with weight 1477174103 (95.18/col)
  369. Mon Aug 31 15:13:12 2026 sparse part has weight 1407536420 (90.69/col)
  370. Mon Aug 31 15:13:14 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  371. Mon Aug 31 15:13:14 2026 selected card has CUDA arch 8.0
  372. Mon Aug 31 15:14:56 2026 commencing Lanczos iteration
  373. Mon Aug 31 15:14:57 2026 memory use: 16126.1 MB
  374. Mon Aug 31 15:15:28 2026 linear algebra at 0.1%, ETA 8h26m
  375. Mon Aug 31 15:16:13 2026 checking every 60000 dimensions, checkpointing every 3720000 dimensions
  376. Mon Aug 31 23:36:34 2026 lanczos halted after 121612 iterations (dim = 31038846)
  377. Mon Aug 31 23:39:11 2026 recovered 33 nontrivial dependencies
  378. Mon Aug 31 23:39:12 2026 BLanczosTime: 30377
  379. Mon Aug 31 23:39:12 2026 elapsed time 08:26:18
  380. Mon Aug 31 23:55:43 2026
  381. Mon Aug 31 23:55:43 2026
  382. Mon Aug 31 23:55:43 2026 Msieve v. 1.54 (SVN Unversioned directory)
  383. Mon Aug 31 23:55:43 2026 random seeds: a08e002a 0b40bd03
  384. Mon Aug 31 23:55:43 2026 MPI process 0 of 1
  385. Mon Aug 31 23:55:43 2026 Using 32 OpenMP threads
  386. Mon Aug 31 23:55:43 2026 factoring 4898552437589062456044450582609659625755927399535946392210296424249255206218536750418034330949054530474936154086076336681029569982387704461265998888543099079162293684518597415606942730286852208154632387544269866009351070578499715890406204651055844102435270568003749053 (268 digits)
  387. Mon Aug 31 23:55:44 2026 no P-1/P+1/ECM available, skipping
  388. Mon Aug 31 23:55:44 2026 commencing number field sieve (268-digit input)
  389. Mon Aug 31 23:55:44 2026 R0: 72890483685103052142902866787761839379440139451
  390. Mon Aug 31 23:55:44 2026 R1: -107006904423598033356356300384937784807
  391. Mon Aug 31 23:55:44 2026 A0: 11
  392. Mon Aug 31 23:55:44 2026 A1: 0
  393. Mon Aug 31 23:55:44 2026 A2: 0
  394. Mon Aug 31 23:55:44 2026 A3: 0
  395. Mon Aug 31 23:55:44 2026 A4: 0
  396. Mon Aug 31 23:55:44 2026 A5: 0
  397. Mon Aug 31 23:55:44 2026 A6: 7
  398. Mon Aug 31 23:55:44 2026 skew 1.47, size 6.915e-14, alpha 0.844, combined = 1.533e-14 rroots = 0
  399. Mon Aug 31 23:55:44 2026
  400. Mon Aug 31 23:55:44 2026 commencing square root phase
  401. Mon Aug 31 23:55:44 2026 reading relations for dependency 1
  402. Mon Aug 31 23:55:48 2026 read 15516824 cycles
  403. Mon Aug 31 23:56:19 2026 cycles contain 51134992 unique relations
  404. Mon Aug 31 23:58:42 2026 read 51134992 relations
  405. Tue Sep 1 00:02:00 2026 multiplying 51134992 relations
  406. Tue Sep 1 00:05:22 2026 multiply complete, coefficients have about 1515.61 million bits
  407. Tue Sep 1 00:05:27 2026 initial square root is modulo 6289861
  408. Tue Sep 1 00:15:55 2026 sqrtTime: 1211
  409. Tue Sep 1 00:15:55 2026 p79 factor: 4024316791379490664579018179387044295354585251012343154555507505068161616091833
  410. Tue Sep 1 00:15:55 2026 p190 factor: 1217238277086504816693461395346847857213642783208181477053421344346817400512962060323143019135926375975325582785820299035079552173246593073165764544582334307971457521110151288644725049698341
  411. Tue Sep 1 00:15:55 2026 elapsed time 00:20:12
  412.  
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