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  1. Thu Feb 19 12:05:02 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Thu Feb 19 12:05:02 2026 random seeds: d271815c 93e65fa4
  3. Thu Feb 19 12:05:02 2026 Using 32 OpenMP threads
  4. Thu Feb 19 12:05:02 2026 factoring 2032268612705467966660204061938954363176319029168396263710888257454935659561769344392647114289620740175527285476042574520955131510203486986356534011617705568337524612929148234028770870490596301741825777032956895427788260651689264691862541578272217747404656603707919346628929488601 (280 digits)
  5. Thu Feb 19 12:05:03 2026 no P-1/P+1/ECM available, skipping
  6. Thu Feb 19 12:05:03 2026 commencing number field sieve (280-digit input)
  7. Thu Feb 19 12:05:03 2026 R0: 35590180038909801666921513500498328616212709850
  8. Thu Feb 19 12:05:03 2026 R1: -188653598001495327078043
  9. Thu Feb 19 12:05:03 2026 A0: -1
  10. Thu Feb 19 12:05:03 2026 A1: 3
  11. Thu Feb 19 12:05:03 2026 A2: 6
  12. Thu Feb 19 12:05:03 2026 A3: -4
  13. Thu Feb 19 12:05:03 2026 A4: -5
  14. Thu Feb 19 12:05:03 2026 A5: 1
  15. Thu Feb 19 12:05:03 2026 A6: 1
  16. Thu Feb 19 12:05:03 2026 skew 1.39, size 1.128e-13, alpha 3.126, combined = 2.146e-14 rroots = 6
  17. Thu Feb 19 12:05:03 2026
  18. Thu Feb 19 12:05:03 2026 commencing relation filtering
  19. Thu Feb 19 12:05:03 2026 setting target matrix density to 120.0
  20. Thu Feb 19 12:05:03 2026 estimated available RAM is 128740.1 MB
  21. Thu Feb 19 12:05:03 2026 commencing duplicate removal, pass 1
  22. Thu Feb 19 12:07:34 2026 error -11 reading relation 312836481
  23. Thu Feb 19 12:08:18 2026 error -1 reading relation 406696625
  24. Thu Feb 19 12:08:26 2026 error -6 reading relation 421945686
  25. Thu Feb 19 12:09:09 2026 error -15 reading relation 508705192
  26. Thu Feb 19 12:09:50 2026 skipped 4999 relations with b > 2^32
  27. Thu Feb 19 12:09:50 2026 skipped 5 malformed relations
  28. Thu Feb 19 12:09:50 2026 found 19389050 hash collisions in 590267175 relations
  29. Thu Feb 19 12:09:53 2026 added 2438358 free relations
  30. Thu Feb 19 12:09:53 2026 commencing duplicate removal, pass 2
  31. Thu Feb 19 12:11:23 2026 found 0 duplicates and 592705533 unique relations
  32. Thu Feb 19 12:11:23 2026 memory use: 1620.8 MB
  33. Thu Feb 19 12:11:23 2026 reading ideals above 379912192
  34. Thu Feb 19 12:11:23 2026 commencing singleton removal, initial pass
  35. Thu Feb 19 12:19:03 2026 memory use: 11024.0 MB
  36. Thu Feb 19 12:19:03 2026 reading all ideals from disk
  37. Thu Feb 19 12:19:05 2026 memory use: 15171.5 MB
  38. Thu Feb 19 12:19:17 2026 commencing in-memory singleton removal
  39. Thu Feb 19 12:19:21 2026 begin with 592705533 relations and 476300087 unique ideals
  40. Thu Feb 19 12:19:53 2026 reduce to 433256001 relations and 308557824 ideals in 16 passes
  41. Thu Feb 19 12:19:53 2026 max relations containing the same ideal: 51
  42. Thu Feb 19 12:19:59 2026 reading ideals above 720000
  43. Thu Feb 19 12:20:00 2026 commencing singleton removal, initial pass
  44. Thu Feb 19 12:32:01 2026 memory use: 11024.0 MB
  45. Thu Feb 19 12:32:01 2026 reading all ideals from disk
  46. Thu Feb 19 12:32:05 2026 memory use: 21955.9 MB
  47. Thu Feb 19 12:32:24 2026 keeping 346957667 ideals with weight <= 200, target excess is 2240092
  48. Thu Feb 19 12:32:50 2026 commencing in-memory singleton removal
  49. Thu Feb 19 12:32:57 2026 begin with 433256001 relations and 346957667 unique ideals
  50. Thu Feb 19 12:33:29 2026 reduce to 433252148 relations and 346953814 ideals in 9 passes
  51. Thu Feb 19 12:33:29 2026 max relations containing the same ideal: 200
  52. Thu Feb 19 12:34:40 2026 removing 15137793 relations and 13137793 ideals in 2000000 cliques
  53. Thu Feb 19 12:34:46 2026 commencing in-memory singleton removal
  54. Thu Feb 19 12:34:52 2026 begin with 418114355 relations and 346953814 unique ideals
  55. Thu Feb 19 12:35:23 2026 reduce to 417735941 relations and 333435080 ideals in 9 passes
  56. Thu Feb 19 12:35:23 2026 max relations containing the same ideal: 200
  57. Thu Feb 19 12:36:31 2026 removing 11357476 relations and 9357476 ideals in 2000000 cliques
  58. Thu Feb 19 12:36:37 2026 commencing in-memory singleton removal
  59. Thu Feb 19 12:36:43 2026 begin with 406378465 relations and 333435080 unique ideals
  60. Thu Feb 19 12:37:07 2026 reduce to 406139183 relations and 323837026 ideals in 7 passes
  61. Thu Feb 19 12:37:07 2026 max relations containing the same ideal: 199
  62. Thu Feb 19 12:38:13 2026 removing 10152840 relations and 8152840 ideals in 2000000 cliques
  63. Thu Feb 19 12:38:18 2026 commencing in-memory singleton removal
  64. Thu Feb 19 12:38:24 2026 begin with 395986343 relations and 323837026 unique ideals
  65. Thu Feb 19 12:38:47 2026 reduce to 395786242 relations and 315483060 ideals in 7 passes
  66. Thu Feb 19 12:38:47 2026 max relations containing the same ideal: 197
  67. Thu Feb 19 12:39:51 2026 removing 9465593 relations and 7465593 ideals in 2000000 cliques
  68. Thu Feb 19 12:39:56 2026 commencing in-memory singleton removal
  69. Thu Feb 19 12:40:03 2026 begin with 386320649 relations and 315483060 unique ideals
  70. Thu Feb 19 12:40:25 2026 reduce to 386140473 relations and 307836352 ideals in 7 passes
  71. Thu Feb 19 12:40:25 2026 max relations containing the same ideal: 195
  72. Thu Feb 19 12:41:27 2026 removing 8993495 relations and 6993495 ideals in 2000000 cliques
  73. Thu Feb 19 12:41:33 2026 commencing in-memory singleton removal
  74. Thu Feb 19 12:41:39 2026 begin with 377146978 relations and 307836352 unique ideals
  75. Thu Feb 19 12:41:58 2026 reduce to 376978137 relations and 300673175 ideals in 6 passes
  76. Thu Feb 19 12:41:58 2026 max relations containing the same ideal: 191
  77. Thu Feb 19 12:42:59 2026 removing 8653345 relations and 6653345 ideals in 2000000 cliques
  78. Thu Feb 19 12:43:04 2026 commencing in-memory singleton removal
  79. Thu Feb 19 12:43:09 2026 begin with 368324792 relations and 300673175 unique ideals
  80. Thu Feb 19 12:43:31 2026 reduce to 368163980 relations and 293858204 ideals in 7 passes
  81. Thu Feb 19 12:43:31 2026 max relations containing the same ideal: 189
  82. Thu Feb 19 12:44:31 2026 removing 8387954 relations and 6387954 ideals in 2000000 cliques
  83. Thu Feb 19 12:44:35 2026 commencing in-memory singleton removal
  84. Thu Feb 19 12:44:41 2026 begin with 359776026 relations and 293858204 unique ideals
  85. Thu Feb 19 12:45:02 2026 reduce to 359620376 relations and 287313758 ideals in 7 passes
  86. Thu Feb 19 12:45:02 2026 max relations containing the same ideal: 188
  87. Thu Feb 19 12:46:01 2026 removing 8172358 relations and 6172358 ideals in 2000000 cliques
  88. Thu Feb 19 12:46:05 2026 commencing in-memory singleton removal
  89. Thu Feb 19 12:46:11 2026 begin with 351448018 relations and 287313758 unique ideals
  90. Thu Feb 19 12:46:31 2026 reduce to 351296048 relations and 280988636 ideals in 7 passes
  91. Thu Feb 19 12:46:31 2026 max relations containing the same ideal: 186
  92. Thu Feb 19 12:47:29 2026 removing 8001603 relations and 6001603 ideals in 2000000 cliques
  93. Thu Feb 19 12:47:33 2026 commencing in-memory singleton removal
  94. Thu Feb 19 12:47:39 2026 begin with 343294445 relations and 280988636 unique ideals
  95. Thu Feb 19 12:47:58 2026 reduce to 343144398 relations and 274836144 ideals in 7 passes
  96. Thu Feb 19 12:47:58 2026 max relations containing the same ideal: 183
  97. Thu Feb 19 12:48:55 2026 removing 7861661 relations and 5861661 ideals in 2000000 cliques
  98. Thu Feb 19 12:48:59 2026 commencing in-memory singleton removal
  99. Thu Feb 19 12:49:05 2026 begin with 335282737 relations and 274836144 unique ideals
  100. Thu Feb 19 12:49:24 2026 reduce to 335135112 relations and 268826023 ideals in 7 passes
  101. Thu Feb 19 12:49:24 2026 max relations containing the same ideal: 179
  102. Thu Feb 19 12:50:20 2026 removing 7739802 relations and 5739802 ideals in 2000000 cliques
  103. Thu Feb 19 12:50:24 2026 commencing in-memory singleton removal
  104. Thu Feb 19 12:50:29 2026 begin with 327395310 relations and 268826023 unique ideals
  105. Thu Feb 19 12:50:46 2026 reduce to 327247464 relations and 262937512 ideals in 6 passes
  106. Thu Feb 19 12:50:46 2026 max relations containing the same ideal: 176
  107. Thu Feb 19 12:51:40 2026 removing 7642120 relations and 5642120 ideals in 2000000 cliques
  108. Thu Feb 19 12:51:44 2026 commencing in-memory singleton removal
  109. Thu Feb 19 12:51:49 2026 begin with 319605344 relations and 262937512 unique ideals
  110. Thu Feb 19 12:52:05 2026 reduce to 319458692 relations and 257147802 ideals in 6 passes
  111. Thu Feb 19 12:52:05 2026 max relations containing the same ideal: 174
  112. Thu Feb 19 12:52:58 2026 removing 7558076 relations and 5558076 ideals in 2000000 cliques
  113. Thu Feb 19 12:53:02 2026 commencing in-memory singleton removal
  114. Thu Feb 19 12:53:07 2026 begin with 311900616 relations and 257147802 unique ideals
  115. Thu Feb 19 12:53:23 2026 reduce to 311754051 relations and 251442263 ideals in 6 passes
  116. Thu Feb 19 12:53:23 2026 max relations containing the same ideal: 172
  117. Thu Feb 19 12:54:14 2026 removing 7482730 relations and 5482730 ideals in 2000000 cliques
  118. Thu Feb 19 12:54:18 2026 commencing in-memory singleton removal
  119. Thu Feb 19 12:54:23 2026 begin with 304271321 relations and 251442263 unique ideals
  120. Thu Feb 19 12:54:38 2026 reduce to 304123589 relations and 245810862 ideals in 6 passes
  121. Thu Feb 19 12:54:38 2026 max relations containing the same ideal: 170
  122. Thu Feb 19 12:55:30 2026 removing 7419830 relations and 5419830 ideals in 2000000 cliques
  123. Thu Feb 19 12:55:34 2026 commencing in-memory singleton removal
  124. Thu Feb 19 12:55:38 2026 begin with 296703759 relations and 245810862 unique ideals
  125. Thu Feb 19 12:55:53 2026 reduce to 296554544 relations and 240240785 ideals in 6 passes
  126. Thu Feb 19 12:55:53 2026 max relations containing the same ideal: 167
  127. Thu Feb 19 12:56:43 2026 removing 7365655 relations and 5365655 ideals in 2000000 cliques
  128. Thu Feb 19 12:56:47 2026 commencing in-memory singleton removal
  129. Thu Feb 19 12:56:52 2026 begin with 289188889 relations and 240240785 unique ideals
  130. Thu Feb 19 12:57:06 2026 reduce to 289039421 relations and 234724675 ideals in 6 passes
  131. Thu Feb 19 12:57:06 2026 max relations containing the same ideal: 164
  132. Thu Feb 19 12:57:55 2026 removing 7323800 relations and 5323800 ideals in 2000000 cliques
  133. Thu Feb 19 12:57:58 2026 commencing in-memory singleton removal
  134. Thu Feb 19 12:58:03 2026 begin with 281715621 relations and 234724675 unique ideals
  135. Thu Feb 19 12:58:17 2026 reduce to 281564411 relations and 229248607 ideals in 6 passes
  136. Thu Feb 19 12:58:17 2026 max relations containing the same ideal: 161
  137. Thu Feb 19 12:59:05 2026 removing 7286748 relations and 5286748 ideals in 2000000 cliques
  138. Thu Feb 19 12:59:08 2026 commencing in-memory singleton removal
  139. Thu Feb 19 12:59:13 2026 begin with 274277663 relations and 229248607 unique ideals
  140. Thu Feb 19 12:59:26 2026 reduce to 274123852 relations and 223806950 ideals in 6 passes
  141. Thu Feb 19 12:59:26 2026 max relations containing the same ideal: 160
  142. Thu Feb 19 13:00:13 2026 removing 7254569 relations and 5254569 ideals in 2000000 cliques
  143. Thu Feb 19 13:00:17 2026 commencing in-memory singleton removal
  144. Thu Feb 19 13:00:21 2026 begin with 266869283 relations and 223806950 unique ideals
  145. Thu Feb 19 13:00:34 2026 reduce to 266713708 relations and 218395724 ideals in 6 passes
  146. Thu Feb 19 13:00:34 2026 max relations containing the same ideal: 156
  147. Thu Feb 19 13:01:19 2026 removing 7231136 relations and 5231136 ideals in 2000000 cliques
  148. Thu Feb 19 13:01:23 2026 commencing in-memory singleton removal
  149. Thu Feb 19 13:01:27 2026 begin with 259482572 relations and 218395724 unique ideals
  150. Thu Feb 19 13:01:39 2026 reduce to 259323357 relations and 213004133 ideals in 6 passes
  151. Thu Feb 19 13:01:39 2026 max relations containing the same ideal: 151
  152. Thu Feb 19 13:02:23 2026 removing 7210113 relations and 5210113 ideals in 2000000 cliques
  153. Thu Feb 19 13:02:27 2026 commencing in-memory singleton removal
  154. Thu Feb 19 13:02:31 2026 begin with 252113244 relations and 213004133 unique ideals
  155. Thu Feb 19 13:02:43 2026 reduce to 251951845 relations and 207631294 ideals in 6 passes
  156. Thu Feb 19 13:02:43 2026 max relations containing the same ideal: 149
  157. Thu Feb 19 13:03:26 2026 removing 7193456 relations and 5193456 ideals in 2000000 cliques
  158. Thu Feb 19 13:03:29 2026 commencing in-memory singleton removal
  159. Thu Feb 19 13:03:33 2026 begin with 244758389 relations and 207631294 unique ideals
  160. Thu Feb 19 13:03:47 2026 reduce to 244593055 relations and 202271157 ideals in 7 passes
  161. Thu Feb 19 13:03:47 2026 max relations containing the same ideal: 148
  162. Thu Feb 19 13:04:29 2026 removing 7185448 relations and 5185448 ideals in 2000000 cliques
  163. Thu Feb 19 13:04:32 2026 commencing in-memory singleton removal
  164. Thu Feb 19 13:04:36 2026 begin with 237407607 relations and 202271157 unique ideals
  165. Thu Feb 19 13:04:47 2026 reduce to 237237720 relations and 196914369 ideals in 6 passes
  166. Thu Feb 19 13:04:47 2026 max relations containing the same ideal: 145
  167. Thu Feb 19 13:05:28 2026 removing 7179884 relations and 5179884 ideals in 2000000 cliques
  168. Thu Feb 19 13:05:32 2026 commencing in-memory singleton removal
  169. Thu Feb 19 13:05:35 2026 begin with 230057836 relations and 196914369 unique ideals
  170. Thu Feb 19 13:05:48 2026 reduce to 229884213 relations and 191559406 ideals in 7 passes
  171. Thu Feb 19 13:05:48 2026 max relations containing the same ideal: 141
  172. Thu Feb 19 13:06:28 2026 removing 7177145 relations and 5177145 ideals in 2000000 cliques
  173. Thu Feb 19 13:06:31 2026 commencing in-memory singleton removal
  174. Thu Feb 19 13:06:34 2026 begin with 222707068 relations and 191559406 unique ideals
  175. Thu Feb 19 13:06:47 2026 reduce to 222528431 relations and 186202039 ideals in 7 passes
  176. Thu Feb 19 13:06:47 2026 max relations containing the same ideal: 138
  177. Thu Feb 19 13:07:25 2026 removing 7179950 relations and 5179950 ideals in 2000000 cliques
  178. Thu Feb 19 13:07:28 2026 commencing in-memory singleton removal
  179. Thu Feb 19 13:07:32 2026 begin with 215348481 relations and 186202039 unique ideals
  180. Thu Feb 19 13:07:44 2026 reduce to 215165923 relations and 180837895 ideals in 7 passes
  181. Thu Feb 19 13:07:44 2026 max relations containing the same ideal: 134
  182. Thu Feb 19 13:08:22 2026 removing 7185161 relations and 5185161 ideals in 2000000 cliques
  183. Thu Feb 19 13:08:25 2026 commencing in-memory singleton removal
  184. Thu Feb 19 13:08:28 2026 begin with 207980762 relations and 180837895 unique ideals
  185. Thu Feb 19 13:08:38 2026 reduce to 207790561 relations and 175460727 ideals in 6 passes
  186. Thu Feb 19 13:08:38 2026 max relations containing the same ideal: 131
  187. Thu Feb 19 13:09:15 2026 removing 7195018 relations and 5195018 ideals in 2000000 cliques
  188. Thu Feb 19 13:09:18 2026 commencing in-memory singleton removal
  189. Thu Feb 19 13:09:21 2026 begin with 200595543 relations and 175460727 unique ideals
  190. Thu Feb 19 13:09:33 2026 reduce to 200399672 relations and 170067884 ideals in 7 passes
  191. Thu Feb 19 13:09:33 2026 max relations containing the same ideal: 129
  192. Thu Feb 19 13:10:08 2026 removing 7209374 relations and 5209374 ideals in 2000000 cliques
  193. Thu Feb 19 13:10:11 2026 commencing in-memory singleton removal
  194. Thu Feb 19 13:10:14 2026 begin with 193190298 relations and 170067884 unique ideals
  195. Thu Feb 19 13:10:25 2026 reduce to 192986877 relations and 164652993 ideals in 6 passes
  196. Thu Feb 19 13:10:25 2026 max relations containing the same ideal: 125
  197. Thu Feb 19 13:10:59 2026 removing 7227944 relations and 5227944 ideals in 2000000 cliques
  198. Thu Feb 19 13:11:02 2026 commencing in-memory singleton removal
  199. Thu Feb 19 13:11:05 2026 begin with 185758933 relations and 164652993 unique ideals
  200. Thu Feb 19 13:11:14 2026 reduce to 185548593 relations and 159212493 ideals in 6 passes
  201. Thu Feb 19 13:11:14 2026 max relations containing the same ideal: 122
  202. Thu Feb 19 13:11:47 2026 removing 7249498 relations and 5249498 ideals in 2000000 cliques
  203. Thu Feb 19 13:11:50 2026 commencing in-memory singleton removal
  204. Thu Feb 19 13:11:52 2026 begin with 178299095 relations and 159212493 unique ideals
  205. Thu Feb 19 13:12:02 2026 reduce to 178080218 relations and 153741746 ideals in 7 passes
  206. Thu Feb 19 13:12:02 2026 max relations containing the same ideal: 118
  207. Thu Feb 19 13:12:34 2026 removing 7276392 relations and 5276392 ideals in 2000000 cliques
  208. Thu Feb 19 13:12:37 2026 commencing in-memory singleton removal
  209. Thu Feb 19 13:12:39 2026 begin with 170803826 relations and 153741746 unique ideals
  210. Thu Feb 19 13:12:48 2026 reduce to 170576082 relations and 148235093 ideals in 6 passes
  211. Thu Feb 19 13:12:48 2026 max relations containing the same ideal: 116
  212. Thu Feb 19 13:13:19 2026 removing 7310061 relations and 5310061 ideals in 2000000 cliques
  213. Thu Feb 19 13:13:21 2026 commencing in-memory singleton removal
  214. Thu Feb 19 13:13:24 2026 begin with 163266021 relations and 148235093 unique ideals
  215. Thu Feb 19 13:13:33 2026 reduce to 163027545 relations and 142683912 ideals in 7 passes
  216. Thu Feb 19 13:13:33 2026 max relations containing the same ideal: 113
  217. Thu Feb 19 13:14:02 2026 removing 7342244 relations and 5342244 ideals in 2000000 cliques
  218. Thu Feb 19 13:14:05 2026 commencing in-memory singleton removal
  219. Thu Feb 19 13:14:07 2026 begin with 155685301 relations and 142683912 unique ideals
  220. Thu Feb 19 13:14:15 2026 reduce to 155435934 relations and 137089430 ideals in 6 passes
  221. Thu Feb 19 13:14:15 2026 max relations containing the same ideal: 110
  222. Thu Feb 19 13:14:43 2026 removing 7382481 relations and 5382481 ideals in 2000000 cliques
  223. Thu Feb 19 13:14:46 2026 commencing in-memory singleton removal
  224. Thu Feb 19 13:14:48 2026 begin with 148053453 relations and 137089430 unique ideals
  225. Thu Feb 19 13:14:57 2026 reduce to 147791496 relations and 131441860 ideals in 8 passes
  226. Thu Feb 19 13:14:57 2026 max relations containing the same ideal: 109
  227. Thu Feb 19 13:15:24 2026 removing 7421433 relations and 5421433 ideals in 2000000 cliques
  228. Thu Feb 19 13:15:27 2026 commencing in-memory singleton removal
  229. Thu Feb 19 13:15:29 2026 begin with 140370063 relations and 131441860 unique ideals
  230. Thu Feb 19 13:15:37 2026 reduce to 140092429 relations and 125739267 ideals in 7 passes
  231. Thu Feb 19 13:15:37 2026 max relations containing the same ideal: 104
  232. Thu Feb 19 13:16:03 2026 removing 7467010 relations and 5467010 ideals in 2000000 cliques
  233. Thu Feb 19 13:16:05 2026 commencing in-memory singleton removal
  234. Thu Feb 19 13:16:07 2026 begin with 132625419 relations and 125739267 unique ideals
  235. Thu Feb 19 13:16:14 2026 reduce to 132332216 relations and 119975381 ideals in 7 passes
  236. Thu Feb 19 13:16:14 2026 max relations containing the same ideal: 102
  237. Thu Feb 19 13:16:39 2026 removing 7518889 relations and 5518889 ideals in 2000000 cliques
  238. Thu Feb 19 13:16:41 2026 commencing in-memory singleton removal
  239. Thu Feb 19 13:16:43 2026 begin with 124813327 relations and 119975381 unique ideals
  240. Thu Feb 19 13:16:50 2026 reduce to 124501741 relations and 114140708 ideals in 7 passes
  241. Thu Feb 19 13:16:50 2026 max relations containing the same ideal: 96
  242. Thu Feb 19 13:17:14 2026 removing 7575971 relations and 5575971 ideals in 2000000 cliques
  243. Thu Feb 19 13:17:16 2026 commencing in-memory singleton removal
  244. Thu Feb 19 13:17:18 2026 begin with 116925770 relations and 114140708 unique ideals
  245. Thu Feb 19 13:17:25 2026 reduce to 116592941 relations and 108227313 ideals in 8 passes
  246. Thu Feb 19 13:17:25 2026 max relations containing the same ideal: 90
  247. Thu Feb 19 13:17:47 2026 removing 7641206 relations and 5641206 ideals in 2000000 cliques
  248. Thu Feb 19 13:17:50 2026 commencing in-memory singleton removal
  249. Thu Feb 19 13:17:51 2026 begin with 108951735 relations and 108227313 unique ideals
  250. Thu Feb 19 13:17:57 2026 reduce to 108591565 relations and 102220651 ideals in 7 passes
  251. Thu Feb 19 13:17:57 2026 max relations containing the same ideal: 88
  252. Thu Feb 19 13:18:18 2026 removing 7703597 relations and 5703597 ideals in 2000000 cliques
  253. Thu Feb 19 13:18:20 2026 commencing in-memory singleton removal
  254. Thu Feb 19 13:18:21 2026 begin with 100887968 relations and 102220651 unique ideals
  255. Thu Feb 19 13:18:27 2026 reduce to 100494929 relations and 96117835 ideals in 7 passes
  256. Thu Feb 19 13:18:27 2026 max relations containing the same ideal: 83
  257. Thu Feb 19 13:18:46 2026 removing 7063845 relations and 5285258 ideals in 1778587 cliques
  258. Thu Feb 19 13:18:48 2026 commencing in-memory singleton removal
  259. Thu Feb 19 13:18:50 2026 begin with 93431084 relations and 96117835 unique ideals
  260. Thu Feb 19 13:18:55 2026 reduce to 93075840 relations and 90471932 ideals in 8 passes
  261. Thu Feb 19 13:18:55 2026 max relations containing the same ideal: 79
  262. Thu Feb 19 13:19:20 2026 relations with 0 large ideals: 171569
  263. Thu Feb 19 13:19:20 2026 relations with 1 large ideals: 50239
  264. Thu Feb 19 13:19:20 2026 relations with 2 large ideals: 579264
  265. Thu Feb 19 13:19:20 2026 relations with 3 large ideals: 3408284
  266. Thu Feb 19 13:19:20 2026 relations with 4 large ideals: 10832669
  267. Thu Feb 19 13:19:20 2026 relations with 5 large ideals: 20561530
  268. Thu Feb 19 13:19:20 2026 relations with 6 large ideals: 24506811
  269. Thu Feb 19 13:19:20 2026 relations with 7+ large ideals: 32965474
  270. Thu Feb 19 13:19:20 2026 commencing 2-way merge
  271. Thu Feb 19 13:19:48 2026 reduce to 59167668 relation sets and 56563760 unique ideals
  272. Thu Feb 19 13:19:48 2026 commencing full merge
  273. Thu Feb 19 13:34:31 2026 memory use: 7822.4 MB
  274. Thu Feb 19 13:34:36 2026 found 27172386 cycles, need 26981960
  275. Thu Feb 19 13:34:41 2026 weight of 26981960 cycles is about 3238199264 (120.01/cycle)
  276. Thu Feb 19 13:34:41 2026 distribution of cycle lengths:
  277. Thu Feb 19 13:34:41 2026 1 relations: 1482856
  278. Thu Feb 19 13:34:41 2026 2 relations: 1724415
  279. Thu Feb 19 13:34:41 2026 3 relations: 1889410
  280. Thu Feb 19 13:34:41 2026 4 relations: 1917896
  281. Thu Feb 19 13:34:41 2026 5 relations: 1946743
  282. Thu Feb 19 13:34:41 2026 6 relations: 1913667
  283. Thu Feb 19 13:34:41 2026 7 relations: 1881899
  284. Thu Feb 19 13:34:41 2026 8 relations: 1807616
  285. Thu Feb 19 13:34:41 2026 9 relations: 1713018
  286. Thu Feb 19 13:34:41 2026 10+ relations: 10704440
  287. Thu Feb 19 13:34:41 2026 heaviest cycle: 28 relations
  288. Thu Feb 19 13:34:47 2026 commencing cycle optimization
  289. Thu Feb 19 13:35:24 2026 start with 235490953 relations
  290. Thu Feb 19 13:40:21 2026 pruned 9798581 relations
  291. Thu Feb 19 13:40:21 2026 memory use: 6268.2 MB
  292. Thu Feb 19 13:40:21 2026 distribution of cycle lengths:
  293. Thu Feb 19 13:40:21 2026 1 relations: 1482856
  294. Thu Feb 19 13:40:21 2026 2 relations: 1759050
  295. Thu Feb 19 13:40:21 2026 3 relations: 1958629
  296. Thu Feb 19 13:40:21 2026 4 relations: 1988807
  297. Thu Feb 19 13:40:21 2026 5 relations: 2034959
  298. Thu Feb 19 13:40:21 2026 6 relations: 1997549
  299. Thu Feb 19 13:40:21 2026 7 relations: 1972361
  300. Thu Feb 19 13:40:21 2026 8 relations: 1887582
  301. Thu Feb 19 13:40:21 2026 9 relations: 1789760
  302. Thu Feb 19 13:40:21 2026 10+ relations: 10110407
  303. Thu Feb 19 13:40:21 2026 heaviest cycle: 28 relations
  304. Thu Feb 19 13:40:47 2026 RelProcTime: 5744
  305. Thu Feb 19 13:40:47 2026 elapsed time 01:35:45
  306. Fri Feb 20 11:18:47 2026
  307. Fri Feb 20 11:18:47 2026
  308. Fri Feb 20 11:18:47 2026 Msieve v. 1.54 (SVN 573b9ef)
  309. Fri Feb 20 11:18:47 2026 random seeds: 6c1e0fa3 0bb66edb
  310. Fri Feb 20 11:18:47 2026 MPI process 0 of 2
  311. Fri Feb 20 11:18:47 2026 Using 8 OpenMP threads
  312. Fri Feb 20 11:18:47 2026 factoring 2032268612705467966660204061938954363176319029168396263710888257454935659561769344392647114289620740175527285476042574520955131510203486986356534011617705568337524612929148234028770870490596301741825777032956895427788260651689264691862541578272217747404656603707919346628929488601 (280 digits)
  313. Fri Feb 20 11:18:48 2026 no P-1/P+1/ECM available, skipping
  314. Fri Feb 20 11:18:48 2026 commencing number field sieve (280-digit input)
  315. Fri Feb 20 11:18:48 2026 R0: 35590180038909801666921513500498328616212709850
  316. Fri Feb 20 11:18:48 2026 R1: -188653598001495327078043
  317. Fri Feb 20 11:18:48 2026 A0: -1
  318. Fri Feb 20 11:18:48 2026 A1: 3
  319. Fri Feb 20 11:18:48 2026 A2: 6
  320. Fri Feb 20 11:18:48 2026 A3: -4
  321. Fri Feb 20 11:18:48 2026 A4: -5
  322. Fri Feb 20 11:18:48 2026 A5: 1
  323. Fri Feb 20 11:18:48 2026 A6: 1
  324. Fri Feb 20 11:18:48 2026 skew 1.39, size 1.128e-13, alpha 3.126, combined = 2.146e-14 rroots = 6
  325. Fri Feb 20 11:18:48 2026
  326. Fri Feb 20 11:18:48 2026 commencing linear algebra
  327. Fri Feb 20 11:18:48 2026 using VBITS=256
  328. Fri Feb 20 11:18:48 2026 initialized process (0,0) of 1 x 2 grid
  329. Fri Feb 20 11:18:52 2026 read 26981960 cycles
  330. Fri Feb 20 11:19:51 2026 cycles contain 91614193 unique relations
  331. Fri Feb 20 11:22:33 2026 read 91614193 relations
  332. Fri Feb 20 11:22:54 2026 using 20 quadratic characters above 4294917295
  333. Fri Feb 20 11:23:19 2026 building initial matrix
  334. Fri Feb 20 11:37:27 2026 memory use: 11524.0 MB
  335. Fri Feb 20 11:37:42 2026 read 26981960 cycles
  336. Fri Feb 20 11:37:45 2026 matrix is 26981782 x 26981960 (12652.5 MB) with weight 3563895233 (132.08/col)
  337. Fri Feb 20 11:37:45 2026 sparse part has weight 3046951284 (112.93/col)
  338. Fri Feb 20 11:41:59 2026 filtering completed in 2 passes
  339. Fri Feb 20 11:42:02 2026 matrix is 26980758 x 26980920 (12652.4 MB) with weight 3563859798 (132.09/col)
  340. Fri Feb 20 11:42:02 2026 sparse part has weight 3046935651 (112.93/col)
  341. Fri Feb 20 11:42:47 2026 matrix starts at (0, 0)
  342. Fri Feb 20 11:42:49 2026 matrix is 26980758 x 13490439 (6326.2 MB) with weight 1781935656 (132.09/col)
  343. Fri Feb 20 11:42:49 2026 sparse part has weight 1523467975 (112.93/col)
  344. Fri Feb 20 11:42:49 2026 saving the first 240 matrix rows for later
  345. Fri Feb 20 11:42:50 2026 matrix includes 256 packed rows
  346. Fri Feb 20 11:42:56 2026 matrix is 26980518 x 13490439 (5900.7 MB) with weight 1394932538 (103.40/col)
  347. Fri Feb 20 11:42:56 2026 sparse part has weight 1330995004 (98.66/col)
  348. Fri Feb 20 11:42:57 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  349. Fri Feb 20 11:42:57 2026 selected card has CUDA arch 8.6
  350. Fri Feb 20 11:44:04 2026 commencing Lanczos iteration
  351. Fri Feb 20 11:44:05 2026 memory use: 14837.7 MB
  352. Fri Feb 20 11:45:05 2026 linear algebra at 0.1%, ETA 14h11m
  353. Fri Feb 20 11:46:33 2026 checking every 30000 dimensions, checkpointing every 1920000 dimensions
  354. Sat Feb 21 02:01:38 2026 lanczos halted after 105710 iterations (dim = 26980516)
  355. Sat Feb 21 02:03:42 2026 recovered 32 nontrivial dependencies
  356. Sat Feb 21 02:03:44 2026 BLanczosTime: 53096
  357. Sat Feb 21 02:03:44 2026 elapsed time 14:44:57
  358. Sat Feb 21 13:08:15 2026
  359. Sat Feb 21 13:08:15 2026
  360. Sat Feb 21 13:08:15 2026 Msieve v. 1.54 (SVN 573b9ef)
  361. Sat Feb 21 13:08:15 2026 random seeds: 43cf1a8a 634066cc
  362. Sat Feb 21 13:08:15 2026 Using 32 OpenMP threads
  363. Sat Feb 21 13:08:15 2026 factoring 2032268612705467966660204061938954363176319029168396263710888257454935659561769344392647114289620740175527285476042574520955131510203486986356534011617705568337524612929148234028770870490596301741825777032956895427788260651689264691862541578272217747404656603707919346628929488601 (280 digits)
  364. Sat Feb 21 13:08:16 2026 no P-1/P+1/ECM available, skipping
  365. Sat Feb 21 13:08:16 2026 commencing number field sieve (280-digit input)
  366. Sat Feb 21 13:08:16 2026 R0: 35590180038909801666921513500498328616212709850
  367. Sat Feb 21 13:08:16 2026 R1: -188653598001495327078043
  368. Sat Feb 21 13:08:16 2026 A0: -1
  369. Sat Feb 21 13:08:16 2026 A1: 3
  370. Sat Feb 21 13:08:16 2026 A2: 6
  371. Sat Feb 21 13:08:16 2026 A3: -4
  372. Sat Feb 21 13:08:16 2026 A4: -5
  373. Sat Feb 21 13:08:16 2026 A5: 1
  374. Sat Feb 21 13:08:16 2026 A6: 1
  375. Sat Feb 21 13:08:16 2026 skew 1.39, size 1.128e-13, alpha 3.126, combined = 2.146e-14 rroots = 6
  376. Sat Feb 21 13:08:16 2026
  377. Sat Feb 21 13:08:16 2026 commencing square root phase
  378. Sat Feb 21 13:08:16 2026 reading relations for dependency 1
  379. Sat Feb 21 13:08:19 2026 read 13489393 cycles
  380. Sat Feb 21 13:08:48 2026 cycles contain 45804998 unique relations
  381. Sat Feb 21 13:10:37 2026 read 45804998 relations
  382. Sat Feb 21 13:13:41 2026 multiplying 45804998 relations
  383. Sat Feb 21 13:17:38 2026 multiply complete, coefficients have about 1215.92 million bits
  384. Sat Feb 21 13:17:42 2026 initial square root is modulo 284659
  385. Sat Feb 21 13:26:31 2026 GCD is N, no factor found
  386. Sat Feb 21 13:26:31 2026 reading relations for dependency 2
  387. Sat Feb 21 13:26:33 2026 read 13490317 cycles
  388. Sat Feb 21 13:27:02 2026 cycles contain 45809734 unique relations
  389. Sat Feb 21 13:28:08 2026 read 45809734 relations
  390. Sat Feb 21 13:31:13 2026 multiplying 45809734 relations
  391. Sat Feb 21 13:35:08 2026 multiply complete, coefficients have about 1216.04 million bits
  392. Sat Feb 21 13:35:12 2026 initial square root is modulo 285023
  393. Sat Feb 21 13:43:56 2026 GCD is 1, no factor found
  394. Sat Feb 21 13:43:56 2026 reading relations for dependency 3
  395. Sat Feb 21 13:43:58 2026 read 13492410 cycles
  396. Sat Feb 21 13:44:28 2026 cycles contain 45809342 unique relations
  397. Sat Feb 21 13:45:31 2026 read 45809342 relations
  398. Sat Feb 21 13:48:51 2026 multiplying 45809342 relations
  399. Sat Feb 21 13:52:47 2026 multiply complete, coefficients have about 1216.05 million bits
  400. Sat Feb 21 13:52:50 2026 initial square root is modulo 285023
  401. Sat Feb 21 14:01:32 2026 GCD is N, no factor found
  402. Sat Feb 21 14:01:32 2026 reading relations for dependency 4
  403. Sat Feb 21 14:01:34 2026 read 13490702 cycles
  404. Sat Feb 21 14:02:04 2026 cycles contain 45810538 unique relations
  405. Sat Feb 21 14:03:08 2026 read 45810538 relations
  406. Sat Feb 21 14:06:25 2026 multiplying 45810538 relations
  407. Sat Feb 21 14:10:19 2026 multiply complete, coefficients have about 1216.07 million bits
  408. Sat Feb 21 14:10:23 2026 initial square root is modulo 285101
  409. Sat Feb 21 14:19:04 2026 sqrtTime: 4248
  410. Sat Feb 21 14:19:04 2026 p136 factor: 1309265533404928911406835063459394793072100414617665449337934224178145757145706342544486273439912408882129169806952147044972763523811831
  411. Sat Feb 21 14:19:04 2026 p145 factor: 1552220356263612927122591245430891341950797546048752737414731280341555797010810407931763717190097054492669744206185264580238756678088596074250671
  412. Sat Feb 21 14:19:04 2026 elapsed time 01:10:49
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