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  1. Thu Jan 15 14:56:56 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Thu Jan 15 14:56:56 2026 random seeds: 43f3e896 0f657a1b
  3. Thu Jan 15 14:56:56 2026 Using 32 OpenMP threads
  4. Thu Jan 15 14:56:56 2026 factoring 684980861460314568061668690341530215067202291265574902851720798745113835919489125747729133333433117540969497701163778824112863958246680619130558733840796462132855890728879347261717369451485165062044328129569302761705909148485258269753531635760879228287596802181988343173 (270 digits)
  5. Thu Jan 15 14:56:57 2026 no P-1/P+1/ECM available, skipping
  6. Thu Jan 15 14:56:57 2026 commencing number field sieve (270-digit input)
  7. Thu Jan 15 14:56:57 2026 R0: 938886453291995916947886036615583505454357242
  8. Thu Jan 15 14:56:57 2026 R1: -30641254107689455290421
  9. Thu Jan 15 14:56:57 2026 A0: -1
  10. Thu Jan 15 14:56:57 2026 A1: 3
  11. Thu Jan 15 14:56:57 2026 A2: 6
  12. Thu Jan 15 14:56:57 2026 A3: -4
  13. Thu Jan 15 14:56:57 2026 A4: -5
  14. Thu Jan 15 14:56:57 2026 A5: 1
  15. Thu Jan 15 14:56:57 2026 A6: 1
  16. Thu Jan 15 14:56:57 2026 skew 1.39, size 3.187e-13, alpha 3.126, combined = 4.763e-14 rroots = 6
  17. Thu Jan 15 14:56:57 2026
  18. Thu Jan 15 14:56:57 2026 commencing relation filtering
  19. Thu Jan 15 14:56:57 2026 setting target matrix density to 110.0
  20. Thu Jan 15 14:56:57 2026 estimated available RAM is 128740.1 MB
  21. Thu Jan 15 14:56:57 2026 commencing duplicate removal, pass 1
  22. Thu Jan 15 14:57:12 2026 error -15 reading relation 24606938
  23. Thu Jan 15 14:58:27 2026 error -15 reading relation 76730671
  24. Thu Jan 15 15:02:51 2026 error -1 reading relation 241556906
  25. Thu Jan 15 15:03:32 2026 error -11 reading relation 290430639
  26. Thu Jan 15 15:03:33 2026 error -15 reading relation 290892314
  27. Thu Jan 15 15:04:57 2026 skipped 1449 relations with b > 2^32
  28. Thu Jan 15 15:04:57 2026 skipped 2 malformed relations
  29. Thu Jan 15 15:04:57 2026 found 17177491 hash collisions in 395877768 relations
  30. Thu Jan 15 15:05:01 2026 added 2438358 free relations
  31. Thu Jan 15 15:05:01 2026 commencing duplicate removal, pass 2
  32. Thu Jan 15 15:06:13 2026 found 0 duplicates and 398316126 unique relations
  33. Thu Jan 15 15:06:13 2026 memory use: 1108.8 MB
  34. Thu Jan 15 15:06:13 2026 reading ideals above 720000
  35. Thu Jan 15 15:06:13 2026 commencing singleton removal, initial pass
  36. Thu Jan 15 15:17:13 2026 memory use: 11024.0 MB
  37. Thu Jan 15 15:17:13 2026 reading all ideals from disk
  38. Thu Jan 15 15:17:15 2026 memory use: 19816.9 MB
  39. Thu Jan 15 15:17:32 2026 keeping 334678263 ideals with weight <= 200, target excess is 2064790
  40. Thu Jan 15 15:17:55 2026 commencing in-memory singleton removal
  41. Thu Jan 15 15:18:01 2026 begin with 398316126 relations and 334678263 unique ideals
  42. Thu Jan 15 15:18:39 2026 reduce to 319332763 relations and 252751173 ideals in 14 passes
  43. Thu Jan 15 15:18:39 2026 max relations containing the same ideal: 183
  44. Thu Jan 15 15:19:31 2026 removing 13698655 relations and 11698655 ideals in 2000000 cliques
  45. Thu Jan 15 15:19:35 2026 commencing in-memory singleton removal
  46. Thu Jan 15 15:19:40 2026 begin with 305634108 relations and 252751173 unique ideals
  47. Thu Jan 15 15:20:00 2026 reduce to 305197041 relations and 240611483 ideals in 8 passes
  48. Thu Jan 15 15:20:00 2026 max relations containing the same ideal: 178
  49. Thu Jan 15 15:20:51 2026 removing 10321787 relations and 8321787 ideals in 2000000 cliques
  50. Thu Jan 15 15:20:55 2026 commencing in-memory singleton removal
  51. Thu Jan 15 15:21:00 2026 begin with 294875254 relations and 240611483 unique ideals
  52. Thu Jan 15 15:21:16 2026 reduce to 294597965 relations and 232010313 ideals in 7 passes
  53. Thu Jan 15 15:21:16 2026 max relations containing the same ideal: 176
  54. Thu Jan 15 15:22:04 2026 removing 9253151 relations and 7253151 ideals in 2000000 cliques
  55. Thu Jan 15 15:22:08 2026 commencing in-memory singleton removal
  56. Thu Jan 15 15:22:13 2026 begin with 285344814 relations and 232010313 unique ideals
  57. Thu Jan 15 15:22:28 2026 reduce to 285108562 relations and 224519289 ideals in 7 passes
  58. Thu Jan 15 15:22:28 2026 max relations containing the same ideal: 172
  59. Thu Jan 15 15:23:14 2026 removing 8646790 relations and 6646790 ideals in 2000000 cliques
  60. Thu Jan 15 15:23:18 2026 commencing in-memory singleton removal
  61. Thu Jan 15 15:23:22 2026 begin with 276461772 relations and 224519289 unique ideals
  62. Thu Jan 15 15:23:37 2026 reduce to 276245325 relations and 217654531 ideals in 7 passes
  63. Thu Jan 15 15:23:37 2026 max relations containing the same ideal: 170
  64. Thu Jan 15 15:24:21 2026 removing 8246714 relations and 6246714 ideals in 2000000 cliques
  65. Thu Jan 15 15:24:25 2026 commencing in-memory singleton removal
  66. Thu Jan 15 15:24:29 2026 begin with 267998611 relations and 217654531 unique ideals
  67. Thu Jan 15 15:24:44 2026 reduce to 267795406 relations and 211203128 ideals in 7 passes
  68. Thu Jan 15 15:24:44 2026 max relations containing the same ideal: 167
  69. Thu Jan 15 15:25:27 2026 removing 7957395 relations and 5957395 ideals in 2000000 cliques
  70. Thu Jan 15 15:25:31 2026 commencing in-memory singleton removal
  71. Thu Jan 15 15:25:35 2026 begin with 259838011 relations and 211203128 unique ideals
  72. Thu Jan 15 15:25:49 2026 reduce to 259642127 relations and 205048420 ideals in 7 passes
  73. Thu Jan 15 15:25:49 2026 max relations containing the same ideal: 162
  74. Thu Jan 15 15:26:31 2026 removing 7739474 relations and 5739474 ideals in 2000000 cliques
  75. Thu Jan 15 15:26:35 2026 commencing in-memory singleton removal
  76. Thu Jan 15 15:26:39 2026 begin with 251902653 relations and 205048420 unique ideals
  77. Thu Jan 15 15:26:51 2026 reduce to 251711976 relations and 199116875 ideals in 6 passes
  78. Thu Jan 15 15:26:51 2026 max relations containing the same ideal: 158
  79. Thu Jan 15 15:27:31 2026 removing 7567700 relations and 5567700 ideals in 2000000 cliques
  80. Thu Jan 15 15:27:35 2026 commencing in-memory singleton removal
  81. Thu Jan 15 15:27:39 2026 begin with 244144276 relations and 199116875 unique ideals
  82. Thu Jan 15 15:27:52 2026 reduce to 243956366 relations and 193359833 ideals in 7 passes
  83. Thu Jan 15 15:27:52 2026 max relations containing the same ideal: 155
  84. Thu Jan 15 15:28:32 2026 removing 7435490 relations and 5435490 ideals in 2000000 cliques
  85. Thu Jan 15 15:28:35 2026 commencing in-memory singleton removal
  86. Thu Jan 15 15:28:39 2026 begin with 236520876 relations and 193359833 unique ideals
  87. Thu Jan 15 15:28:50 2026 reduce to 236335272 relations and 187737243 ideals in 6 passes
  88. Thu Jan 15 15:28:50 2026 max relations containing the same ideal: 153
  89. Thu Jan 15 15:29:29 2026 removing 7325212 relations and 5325212 ideals in 2000000 cliques
  90. Thu Jan 15 15:29:32 2026 commencing in-memory singleton removal
  91. Thu Jan 15 15:29:35 2026 begin with 229010060 relations and 187737243 unique ideals
  92. Thu Jan 15 15:29:46 2026 reduce to 228824166 relations and 182224587 ideals in 6 passes
  93. Thu Jan 15 15:29:46 2026 max relations containing the same ideal: 152
  94. Thu Jan 15 15:30:24 2026 removing 7234741 relations and 5234741 ideals in 2000000 cliques
  95. Thu Jan 15 15:30:27 2026 commencing in-memory singleton removal
  96. Thu Jan 15 15:30:30 2026 begin with 221589425 relations and 182224587 unique ideals
  97. Thu Jan 15 15:30:41 2026 reduce to 221402900 relations and 176801722 ideals in 6 passes
  98. Thu Jan 15 15:30:41 2026 max relations containing the same ideal: 149
  99. Thu Jan 15 15:31:18 2026 removing 7160597 relations and 5160597 ideals in 2000000 cliques
  100. Thu Jan 15 15:31:21 2026 commencing in-memory singleton removal
  101. Thu Jan 15 15:31:24 2026 begin with 214242303 relations and 176801722 unique ideals
  102. Thu Jan 15 15:31:37 2026 reduce to 214054526 relations and 171451714 ideals in 8 passes
  103. Thu Jan 15 15:31:37 2026 max relations containing the same ideal: 146
  104. Thu Jan 15 15:32:13 2026 removing 7101875 relations and 5101875 ideals in 2000000 cliques
  105. Thu Jan 15 15:32:16 2026 commencing in-memory singleton removal
  106. Thu Jan 15 15:32:19 2026 begin with 206952651 relations and 171451714 unique ideals
  107. Thu Jan 15 15:32:29 2026 reduce to 206761462 relations and 166156959 ideals in 6 passes
  108. Thu Jan 15 15:32:29 2026 max relations containing the same ideal: 144
  109. Thu Jan 15 15:33:03 2026 removing 7056334 relations and 5056334 ideals in 2000000 cliques
  110. Thu Jan 15 15:33:06 2026 commencing in-memory singleton removal
  111. Thu Jan 15 15:33:09 2026 begin with 199705128 relations and 166156959 unique ideals
  112. Thu Jan 15 15:33:18 2026 reduce to 199511693 relations and 160905415 ideals in 6 passes
  113. Thu Jan 15 15:33:18 2026 max relations containing the same ideal: 140
  114. Thu Jan 15 15:33:52 2026 removing 7016122 relations and 5016122 ideals in 2000000 cliques
  115. Thu Jan 15 15:33:55 2026 commencing in-memory singleton removal
  116. Thu Jan 15 15:33:58 2026 begin with 192495571 relations and 160905415 unique ideals
  117. Thu Jan 15 15:34:08 2026 reduce to 192298245 relations and 155690034 ideals in 7 passes
  118. Thu Jan 15 15:34:08 2026 max relations containing the same ideal: 134
  119. Thu Jan 15 15:34:41 2026 removing 6987155 relations and 4987155 ideals in 2000000 cliques
  120. Thu Jan 15 15:34:44 2026 commencing in-memory singleton removal
  121. Thu Jan 15 15:34:47 2026 begin with 185311090 relations and 155690034 unique ideals
  122. Thu Jan 15 15:34:55 2026 reduce to 185109675 relations and 150499395 ideals in 6 passes
  123. Thu Jan 15 15:34:55 2026 max relations containing the same ideal: 129
  124. Thu Jan 15 15:35:27 2026 removing 6965057 relations and 4965057 ideals in 2000000 cliques
  125. Thu Jan 15 15:35:30 2026 commencing in-memory singleton removal
  126. Thu Jan 15 15:35:33 2026 begin with 178144618 relations and 150499395 unique ideals
  127. Thu Jan 15 15:35:42 2026 reduce to 177937143 relations and 145324680 ideals in 7 passes
  128. Thu Jan 15 15:35:42 2026 max relations containing the same ideal: 127
  129. Thu Jan 15 15:36:13 2026 removing 6949946 relations and 4949946 ideals in 2000000 cliques
  130. Thu Jan 15 15:36:16 2026 commencing in-memory singleton removal
  131. Thu Jan 15 15:36:18 2026 begin with 170987197 relations and 145324680 unique ideals
  132. Thu Jan 15 15:36:28 2026 reduce to 170772884 relations and 140158040 ideals in 7 passes
  133. Thu Jan 15 15:36:28 2026 max relations containing the same ideal: 122
  134. Thu Jan 15 15:36:57 2026 removing 6944680 relations and 4944680 ideals in 2000000 cliques
  135. Thu Jan 15 15:36:59 2026 commencing in-memory singleton removal
  136. Thu Jan 15 15:37:02 2026 begin with 163828204 relations and 140158040 unique ideals
  137. Thu Jan 15 15:37:11 2026 reduce to 163606609 relations and 134989266 ideals in 7 passes
  138. Thu Jan 15 15:37:11 2026 max relations containing the same ideal: 119
  139. Thu Jan 15 15:37:39 2026 removing 6943721 relations and 4943721 ideals in 2000000 cliques
  140. Thu Jan 15 15:37:42 2026 commencing in-memory singleton removal
  141. Thu Jan 15 15:37:44 2026 begin with 156662888 relations and 134989266 unique ideals
  142. Thu Jan 15 15:37:51 2026 reduce to 156433621 relations and 129813521 ideals in 6 passes
  143. Thu Jan 15 15:37:51 2026 max relations containing the same ideal: 115
  144. Thu Jan 15 15:38:19 2026 removing 6951431 relations and 4951431 ideals in 2000000 cliques
  145. Thu Jan 15 15:38:21 2026 commencing in-memory singleton removal
  146. Thu Jan 15 15:38:23 2026 begin with 149482190 relations and 129813521 unique ideals
  147. Thu Jan 15 15:38:30 2026 reduce to 149243587 relations and 124620608 ideals in 6 passes
  148. Thu Jan 15 15:38:30 2026 max relations containing the same ideal: 112
  149. Thu Jan 15 15:38:57 2026 removing 6961192 relations and 4961192 ideals in 2000000 cliques
  150. Thu Jan 15 15:38:59 2026 commencing in-memory singleton removal
  151. Thu Jan 15 15:39:01 2026 begin with 142282395 relations and 124620608 unique ideals
  152. Thu Jan 15 15:39:09 2026 reduce to 142032419 relations and 119406284 ideals in 7 passes
  153. Thu Jan 15 15:39:09 2026 max relations containing the same ideal: 110
  154. Thu Jan 15 15:39:34 2026 removing 6976489 relations and 4976489 ideals in 2000000 cliques
  155. Thu Jan 15 15:39:36 2026 commencing in-memory singleton removal
  156. Thu Jan 15 15:39:38 2026 begin with 135055930 relations and 119406284 unique ideals
  157. Thu Jan 15 15:39:44 2026 reduce to 134794306 relations and 114164713 ideals in 6 passes
  158. Thu Jan 15 15:39:44 2026 max relations containing the same ideal: 106
  159. Thu Jan 15 15:40:09 2026 removing 6996970 relations and 4996970 ideals in 2000000 cliques
  160. Thu Jan 15 15:40:12 2026 commencing in-memory singleton removal
  161. Thu Jan 15 15:40:14 2026 begin with 127797336 relations and 114164713 unique ideals
  162. Thu Jan 15 15:40:19 2026 reduce to 127521211 relations and 108887793 ideals in 6 passes
  163. Thu Jan 15 15:40:19 2026 max relations containing the same ideal: 100
  164. Thu Jan 15 15:40:42 2026 removing 7029834 relations and 5029834 ideals in 2000000 cliques
  165. Thu Jan 15 15:40:45 2026 commencing in-memory singleton removal
  166. Thu Jan 15 15:40:46 2026 begin with 120491377 relations and 108887793 unique ideals
  167. Thu Jan 15 15:40:53 2026 reduce to 120199227 relations and 103561616 ideals in 7 passes
  168. Thu Jan 15 15:40:53 2026 max relations containing the same ideal: 97
  169. Thu Jan 15 15:41:14 2026 removing 7067160 relations and 5067160 ideals in 2000000 cliques
  170. Thu Jan 15 15:41:16 2026 commencing in-memory singleton removal
  171. Thu Jan 15 15:41:18 2026 begin with 113132067 relations and 103561616 unique ideals
  172. Thu Jan 15 15:41:24 2026 reduce to 112822021 relations and 98179651 ideals in 7 passes
  173. Thu Jan 15 15:41:24 2026 max relations containing the same ideal: 91
  174. Thu Jan 15 15:41:44 2026 removing 7108689 relations and 5108689 ideals in 2000000 cliques
  175. Thu Jan 15 15:41:46 2026 commencing in-memory singleton removal
  176. Thu Jan 15 15:41:48 2026 begin with 105713332 relations and 98179651 unique ideals
  177. Thu Jan 15 15:41:53 2026 reduce to 105380060 relations and 92732300 ideals in 6 passes
  178. Thu Jan 15 15:41:53 2026 max relations containing the same ideal: 86
  179. Thu Jan 15 15:42:13 2026 removing 7165938 relations and 5165938 ideals in 2000000 cliques
  180. Thu Jan 15 15:42:14 2026 commencing in-memory singleton removal
  181. Thu Jan 15 15:42:16 2026 begin with 98214122 relations and 92732300 unique ideals
  182. Thu Jan 15 15:42:21 2026 reduce to 97854278 relations and 87200490 ideals in 7 passes
  183. Thu Jan 15 15:42:21 2026 max relations containing the same ideal: 86
  184. Thu Jan 15 15:42:40 2026 removing 7224633 relations and 5224633 ideals in 2000000 cliques
  185. Thu Jan 15 15:42:42 2026 commencing in-memory singleton removal
  186. Thu Jan 15 15:42:43 2026 begin with 90629645 relations and 87200490 unique ideals
  187. Thu Jan 15 15:42:48 2026 reduce to 90241001 relations and 81580325 ideals in 8 passes
  188. Thu Jan 15 15:42:48 2026 max relations containing the same ideal: 79
  189. Thu Jan 15 15:43:05 2026 removing 7297192 relations and 5297192 ideals in 2000000 cliques
  190. Thu Jan 15 15:43:07 2026 commencing in-memory singleton removal
  191. Thu Jan 15 15:43:08 2026 begin with 82943809 relations and 81580325 unique ideals
  192. Thu Jan 15 15:43:13 2026 reduce to 82513312 relations and 75844415 ideals in 8 passes
  193. Thu Jan 15 15:43:13 2026 max relations containing the same ideal: 74
  194. Thu Jan 15 15:43:29 2026 removing 7379513 relations and 5379513 ideals in 2000000 cliques
  195. Thu Jan 15 15:43:31 2026 commencing in-memory singleton removal
  196. Thu Jan 15 15:43:32 2026 begin with 75133799 relations and 75844415 unique ideals
  197. Thu Jan 15 15:43:36 2026 reduce to 74655294 relations and 69976605 ideals in 8 passes
  198. Thu Jan 15 15:43:36 2026 max relations containing the same ideal: 70
  199. Thu Jan 15 15:43:51 2026 removing 7473754 relations and 5473754 ideals in 2000000 cliques
  200. Thu Jan 15 15:43:52 2026 commencing in-memory singleton removal
  201. Thu Jan 15 15:43:53 2026 begin with 67181540 relations and 69976605 unique ideals
  202. Thu Jan 15 15:43:57 2026 reduce to 66633592 relations and 63942600 ideals in 8 passes
  203. Thu Jan 15 15:43:57 2026 max relations containing the same ideal: 65
  204. Thu Jan 15 15:44:10 2026 removing 1577427 relations and 1281592 ideals in 295835 cliques
  205. Thu Jan 15 15:44:11 2026 commencing in-memory singleton removal
  206. Thu Jan 15 15:44:12 2026 begin with 65056165 relations and 63942600 unique ideals
  207. Thu Jan 15 15:44:15 2026 reduce to 65031771 relations and 62636519 ideals in 7 passes
  208. Thu Jan 15 15:44:15 2026 max relations containing the same ideal: 64
  209. Thu Jan 15 15:44:20 2026 relations with 0 large ideals: 155480
  210. Thu Jan 15 15:44:20 2026 relations with 1 large ideals: 63879
  211. Thu Jan 15 15:44:20 2026 relations with 2 large ideals: 643797
  212. Thu Jan 15 15:44:20 2026 relations with 3 large ideals: 3393480
  213. Thu Jan 15 15:44:20 2026 relations with 4 large ideals: 9583851
  214. Thu Jan 15 15:44:20 2026 relations with 5 large ideals: 16013654
  215. Thu Jan 15 15:44:20 2026 relations with 6 large ideals: 16642840
  216. Thu Jan 15 15:44:20 2026 relations with 7+ large ideals: 18534790
  217. Thu Jan 15 15:44:20 2026 commencing 2-way merge
  218. Thu Jan 15 15:44:39 2026 reduce to 41230845 relation sets and 38835593 unique ideals
  219. Thu Jan 15 15:44:39 2026 commencing full merge
  220. Thu Jan 15 15:53:31 2026 memory use: 5239.1 MB
  221. Thu Jan 15 15:53:34 2026 found 19451613 cycles, need 19185793
  222. Thu Jan 15 15:53:38 2026 weight of 19185793 cycles is about 2110949340 (110.03/cycle)
  223. Thu Jan 15 15:53:38 2026 distribution of cycle lengths:
  224. Thu Jan 15 15:53:38 2026 1 relations: 1250297
  225. Thu Jan 15 15:53:38 2026 2 relations: 1373202
  226. Thu Jan 15 15:53:38 2026 3 relations: 1454451
  227. Thu Jan 15 15:53:38 2026 4 relations: 1457332
  228. Thu Jan 15 15:53:38 2026 5 relations: 1451699
  229. Thu Jan 15 15:53:38 2026 6 relations: 1431032
  230. Thu Jan 15 15:53:38 2026 7 relations: 1385952
  231. Thu Jan 15 15:53:38 2026 8 relations: 1320912
  232. Thu Jan 15 15:53:38 2026 9 relations: 1235644
  233. Thu Jan 15 15:53:38 2026 10+ relations: 6825272
  234. Thu Jan 15 15:53:38 2026 heaviest cycle: 28 relations
  235. Thu Jan 15 15:53:42 2026 commencing cycle optimization
  236. Thu Jan 15 15:54:06 2026 start with 155211702 relations
  237. Thu Jan 15 15:57:01 2026 pruned 6158188 relations
  238. Thu Jan 15 15:57:02 2026 memory use: 4271.7 MB
  239. Thu Jan 15 15:57:02 2026 distribution of cycle lengths:
  240. Thu Jan 15 15:57:02 2026 1 relations: 1250297
  241. Thu Jan 15 15:57:02 2026 2 relations: 1399976
  242. Thu Jan 15 15:57:02 2026 3 relations: 1506335
  243. Thu Jan 15 15:57:02 2026 4 relations: 1508894
  244. Thu Jan 15 15:57:02 2026 5 relations: 1517253
  245. Thu Jan 15 15:57:02 2026 6 relations: 1492442
  246. Thu Jan 15 15:57:02 2026 7 relations: 1453038
  247. Thu Jan 15 15:57:02 2026 8 relations: 1378744
  248. Thu Jan 15 15:57:02 2026 9 relations: 1287017
  249. Thu Jan 15 15:57:02 2026 10+ relations: 6391797
  250. Thu Jan 15 15:57:02 2026 heaviest cycle: 28 relations
  251. Thu Jan 15 15:57:19 2026 RelProcTime: 3622
  252. Thu Jan 15 15:57:19 2026 elapsed time 01:00:23
  253. Thu Jan 15 16:29:12 2026
  254. Thu Jan 15 16:29:12 2026
  255. Thu Jan 15 16:29:12 2026 Msieve v. 1.54 (SVN 573b9ef)
  256. Thu Jan 15 16:29:12 2026 random seeds: 8c441565 9363151d
  257. Thu Jan 15 16:29:12 2026 MPI process 0 of 2
  258. Thu Jan 15 16:29:12 2026 Using 8 OpenMP threads
  259. Thu Jan 15 16:29:12 2026 factoring 684980861460314568061668690341530215067202291265574902851720798745113835919489125747729133333433117540969497701163778824112863958246680619130558733840796462132855890728879347261717369451485165062044328129569302761705909148485258269753531635760879228287596802181988343173 (270 digits)
  260. Thu Jan 15 16:29:13 2026 no P-1/P+1/ECM available, skipping
  261. Thu Jan 15 16:29:13 2026 commencing number field sieve (270-digit input)
  262. Thu Jan 15 16:29:13 2026 R0: 938886453291995916947886036615583505454357242
  263. Thu Jan 15 16:29:13 2026 R1: -30641254107689455290421
  264. Thu Jan 15 16:29:13 2026 A0: -1
  265. Thu Jan 15 16:29:13 2026 A1: 3
  266. Thu Jan 15 16:29:13 2026 A2: 6
  267. Thu Jan 15 16:29:13 2026 A3: -4
  268. Thu Jan 15 16:29:13 2026 A4: -5
  269. Thu Jan 15 16:29:13 2026 A5: 1
  270. Thu Jan 15 16:29:13 2026 A6: 1
  271. Thu Jan 15 16:29:13 2026 skew 1.39, size 3.187e-13, alpha 3.126, combined = 4.763e-14 rroots = 6
  272. Thu Jan 15 16:29:13 2026
  273. Thu Jan 15 16:29:13 2026 commencing linear algebra
  274. Thu Jan 15 16:29:13 2026 using VBITS=256
  275. Thu Jan 15 16:29:13 2026 initialized process (0,0) of 1 x 2 grid
  276. Thu Jan 15 16:29:14 2026 read 19185793 cycles
  277. Thu Jan 15 16:29:38 2026 cycles contain 63809295 unique relations
  278. Thu Jan 15 16:30:15 2026 read 63809295 relations
  279. Thu Jan 15 16:30:28 2026 using 20 quadratic characters above 4294917295
  280. Thu Jan 15 16:30:46 2026 building initial matrix
  281. Thu Jan 15 16:37:16 2026 memory use: 7818.5 MB
  282. Thu Jan 15 16:37:24 2026 read 19185793 cycles
  283. Thu Jan 15 16:37:26 2026 matrix is 19185616 x 19185793 (8337.9 MB) with weight 2355412378 (122.77/col)
  284. Thu Jan 15 16:37:26 2026 sparse part has weight 1993876383 (103.92/col)
  285. Thu Jan 15 16:39:27 2026 filtering completed in 2 passes
  286. Thu Jan 15 16:39:30 2026 matrix is 19184006 x 19184167 (8337.8 MB) with weight 2355358053 (122.78/col)
  287. Thu Jan 15 16:39:30 2026 sparse part has weight 1993852214 (103.93/col)
  288. Thu Jan 15 16:39:56 2026 matrix starts at (0, 0)
  289. Thu Jan 15 16:39:57 2026 matrix is 19184006 x 9592103 (4168.9 MB) with weight 1177679362 (122.78/col)
  290. Thu Jan 15 16:39:57 2026 sparse part has weight 996926249 (103.93/col)
  291. Thu Jan 15 16:39:57 2026 saving the first 240 matrix rows for later
  292. Thu Jan 15 16:39:58 2026 matrix includes 256 packed rows
  293. Thu Jan 15 16:40:01 2026 matrix is 19183766 x 9592103 (3896.7 MB) with weight 910816593 (94.95/col)
  294. Thu Jan 15 16:40:01 2026 sparse part has weight 868025223 (90.49/col)
  295. Thu Jan 15 16:40:02 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  296. Thu Jan 15 16:40:02 2026 selected card has CUDA arch 8.6
  297. Thu Jan 15 16:40:34 2026 commencing Lanczos iteration
  298. Thu Jan 15 16:40:35 2026 memory use: 9952.3 MB
  299. Thu Jan 15 16:41:14 2026 linear algebra at 0.2%, ETA 6h35m
  300. Thu Jan 15 16:42:10 2026 checking every 40000 dimensions, checkpointing every 2960000 dimensions
  301. Thu Jan 15 23:26:04 2026 lanczos halted after 75163 iterations (dim = 19183766)
  302. Thu Jan 15 23:27:29 2026 recovered 34 nontrivial dependencies
  303. Thu Jan 15 23:27:29 2026 BLanczosTime: 25096
  304. Thu Jan 15 23:27:29 2026 elapsed time 06:58:17
  305. Thu Jan 15 23:27:33 2026
  306. Thu Jan 15 23:27:33 2026
  307. Thu Jan 15 23:27:33 2026 Msieve v. 1.54 (SVN 573b9ef)
  308. Thu Jan 15 23:27:33 2026 random seeds: f151b341 5ea01809
  309. Thu Jan 15 23:27:33 2026 Using 32 OpenMP threads
  310. Thu Jan 15 23:27:33 2026 factoring 684980861460314568061668690341530215067202291265574902851720798745113835919489125747729133333433117540969497701163778824112863958246680619130558733840796462132855890728879347261717369451485165062044328129569302761705909148485258269753531635760879228287596802181988343173 (270 digits)
  311. Thu Jan 15 23:27:34 2026 no P-1/P+1/ECM available, skipping
  312. Thu Jan 15 23:27:34 2026 commencing number field sieve (270-digit input)
  313. Thu Jan 15 23:27:34 2026 R0: 938886453291995916947886036615583505454357242
  314. Thu Jan 15 23:27:34 2026 R1: -30641254107689455290421
  315. Thu Jan 15 23:27:34 2026 A0: -1
  316. Thu Jan 15 23:27:34 2026 A1: 3
  317. Thu Jan 15 23:27:34 2026 A2: 6
  318. Thu Jan 15 23:27:34 2026 A3: -4
  319. Thu Jan 15 23:27:34 2026 A4: -5
  320. Thu Jan 15 23:27:34 2026 A5: 1
  321. Thu Jan 15 23:27:34 2026 A6: 1
  322. Thu Jan 15 23:27:34 2026 skew 1.39, size 3.187e-13, alpha 3.126, combined = 4.763e-14 rroots = 6
  323. Thu Jan 15 23:27:34 2026
  324. Thu Jan 15 23:27:34 2026 commencing square root phase
  325. Thu Jan 15 23:27:34 2026 reading relations for dependency 1
  326. Thu Jan 15 23:27:35 2026 read 9596396 cycles
  327. Thu Jan 15 23:27:46 2026 cycles contain 31911894 unique relations
  328. Thu Jan 15 23:28:25 2026 read 31911894 relations
  329. Thu Jan 15 23:29:37 2026 multiplying 31911894 relations
  330. Thu Jan 15 23:31:04 2026 multiply complete, coefficients have about 834.98 million bits
  331. Thu Jan 15 23:31:05 2026 initial square root is modulo 30972853
  332. Thu Jan 15 23:34:11 2026 sqrtTime: 397
  333. Thu Jan 15 23:34:11 2026 p118 factor: 1223042965912533779922201579931009384316508588673024451210021387821133014615600431355786627196032355075645199455836403
  334. Thu Jan 15 23:34:11 2026 p153 factor: 560062794645352748560352651083843185709583134668455934809983984886998416773017490079444735204210560948803086108347069179971151057928138079737347687943591
  335. Thu Jan 15 23:34:11 2026 elapsed time 00:06:38
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