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gchilders
Aug 27th, 2026
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  1. Wed Aug 26 14:41:11 2026
  2. Wed Aug 26 14:41:11 2026
  3. Wed Aug 26 14:41:11 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Aug 26 14:41:11 2026 random seeds: 7f1be361 03e8dfe6
  5. Wed Aug 26 14:41:11 2026 MPI process 0 of 1
  6. Wed Aug 26 14:41:11 2026 Using 46 OpenMP threads
  7. Wed Aug 26 14:41:11 2026 factoring 33914004847131626225489545450574641480254386401138111216240671686027017248288591349531905058230893757437951577271736230210812847655487490843994447166007325768780871432222187074441837834908424909421917454805689413824941381376705113500493899332036575645843887122917952682551027 (275 digits)
  8. Wed Aug 26 14:41:12 2026 no P-1/P+1/ECM available, skipping
  9. Wed Aug 26 14:41:12 2026 commencing number field sieve (275-digit input)
  10. Wed Aug 26 14:41:12 2026 R0: 555154253151754381393348832081331812081715043681
  11. Wed Aug 26 14:41:12 2026 R1: -1
  12. Wed Aug 26 14:41:12 2026 A0: -929077
  13. Wed Aug 26 14:41:12 2026 A1: 0
  14. Wed Aug 26 14:41:12 2026 A2: 0
  15. Wed Aug 26 14:41:12 2026 A3: 0
  16. Wed Aug 26 14:41:12 2026 A4: 0
  17. Wed Aug 26 14:41:12 2026 A5: 0
  18. Wed Aug 26 14:41:12 2026 A6: 1
  19. Wed Aug 26 14:41:12 2026 skew 12.83, size 1.064e-14, alpha 2.128, combined = 3.992e-15 rroots = 2
  20. Wed Aug 26 14:41:12 2026
  21. Wed Aug 26 14:41:12 2026 commencing relation filtering
  22. Wed Aug 26 14:41:12 2026 setting target matrix density to 110.0
  23. Wed Aug 26 14:41:12 2026 estimated available RAM is 192068.7 MB
  24. Wed Aug 26 14:41:12 2026 commencing duplicate removal, pass 1
  25. Wed Aug 26 14:56:12 2026 found 255659626 hash collisions in 1310265742 relations
  26. Wed Aug 26 14:56:27 2026 added 1218518 free relations
  27. Wed Aug 26 14:56:27 2026 commencing duplicate removal, pass 2
  28. Wed Aug 26 15:06:06 2026 found 269398045 duplicates and 1042086215 unique relations
  29. Wed Aug 26 15:06:06 2026 memory use: 6822.0 MB
  30. Wed Aug 26 15:06:06 2026 reading ideals above 576782336
  31. Wed Aug 26 15:06:06 2026 commencing singleton removal, initial pass
  32. Wed Aug 26 15:33:08 2026 memory use: 21024.0 MB
  33. Wed Aug 26 15:33:09 2026 reading all ideals from disk
  34. Wed Aug 26 15:33:26 2026 memory use: 27297.2 MB
  35. Wed Aug 26 15:34:24 2026 commencing in-memory singleton removal
  36. Wed Aug 26 15:34:29 2026 begin with 1042086215 relations and 887081204 unique ideals
  37. Wed Aug 26 15:35:06 2026 reduce to 677576642 relations and 486954978 ideals in 16 passes
  38. Wed Aug 26 15:35:06 2026 max relations containing the same ideal: 34
  39. Wed Aug 26 15:35:29 2026 reading ideals above 720000
  40. Wed Aug 26 15:35:30 2026 commencing singleton removal, initial pass
  41. Wed Aug 26 16:13:01 2026 memory use: 11024.0 MB
  42. Wed Aug 26 16:13:01 2026 reading all ideals from disk
  43. Wed Aug 26 16:13:26 2026 memory use: 35920.2 MB
  44. Wed Aug 26 16:15:09 2026 keeping 543612630 ideals with weight <= 200, target excess is 3690661
  45. Wed Aug 26 16:17:00 2026 commencing in-memory singleton removal
  46. Wed Aug 26 16:17:07 2026 begin with 677576642 relations and 543612630 unique ideals
  47. Wed Aug 26 16:17:29 2026 reduce to 677575205 relations and 543611193 ideals in 6 passes
  48. Wed Aug 26 16:17:29 2026 max relations containing the same ideal: 200
  49. Wed Aug 26 16:21:27 2026 removing 16264237 relations and 14264237 ideals in 2000000 cliques
  50. Wed Aug 26 16:21:48 2026 commencing in-memory singleton removal
  51. Wed Aug 26 16:21:55 2026 begin with 661310968 relations and 543611193 unique ideals
  52. Wed Aug 26 16:22:18 2026 reduce to 661023868 relations and 529058509 ideals in 8 passes
  53. Wed Aug 26 16:22:18 2026 max relations containing the same ideal: 200
  54. Wed Aug 26 16:25:53 2026 removing 12282385 relations and 10282385 ideals in 2000000 cliques
  55. Wed Aug 26 16:26:13 2026 commencing in-memory singleton removal
  56. Wed Aug 26 16:26:19 2026 begin with 648741483 relations and 529058509 unique ideals
  57. Wed Aug 26 16:26:40 2026 reduce to 648561088 relations and 518595078 ideals in 7 passes
  58. Wed Aug 26 16:26:40 2026 max relations containing the same ideal: 200
  59. Wed Aug 26 16:30:15 2026 removing 10992123 relations and 8992123 ideals in 2000000 cliques
  60. Wed Aug 26 16:30:33 2026 commencing in-memory singleton removal
  61. Wed Aug 26 16:30:40 2026 begin with 637568965 relations and 518595078 unique ideals
  62. Wed Aug 26 16:30:59 2026 reduce to 637417835 relations and 509451283 ideals in 7 passes
  63. Wed Aug 26 16:30:59 2026 max relations containing the same ideal: 199
  64. Wed Aug 26 16:34:18 2026 removing 10237561 relations and 8237561 ideals in 2000000 cliques
  65. Wed Aug 26 16:34:37 2026 commencing in-memory singleton removal
  66. Wed Aug 26 16:34:43 2026 begin with 627180274 relations and 509451283 unique ideals
  67. Wed Aug 26 16:35:00 2026 reduce to 627046178 relations and 501079184 ideals in 6 passes
  68. Wed Aug 26 16:35:00 2026 max relations containing the same ideal: 198
  69. Wed Aug 26 16:38:24 2026 removing 9723757 relations and 7723757 ideals in 2000000 cliques
  70. Wed Aug 26 16:38:41 2026 commencing in-memory singleton removal
  71. Wed Aug 26 16:38:48 2026 begin with 617322421 relations and 501079184 unique ideals
  72. Wed Aug 26 16:39:06 2026 reduce to 617198308 relations and 493230908 ideals in 6 passes
  73. Wed Aug 26 16:39:06 2026 max relations containing the same ideal: 197
  74. Wed Aug 26 16:42:19 2026 removing 9337262 relations and 7337262 ideals in 2000000 cliques
  75. Wed Aug 26 16:42:37 2026 commencing in-memory singleton removal
  76. Wed Aug 26 16:42:43 2026 begin with 607861046 relations and 493230908 unique ideals
  77. Wed Aug 26 16:42:59 2026 reduce to 607743938 relations and 485776125 ideals in 6 passes
  78. Wed Aug 26 16:42:59 2026 max relations containing the same ideal: 195
  79. Wed Aug 26 16:46:11 2026 removing 9035645 relations and 7035645 ideals in 2000000 cliques
  80. Wed Aug 26 16:46:29 2026 commencing in-memory singleton removal
  81. Wed Aug 26 16:46:34 2026 begin with 598708293 relations and 485776125 unique ideals
  82. Wed Aug 26 16:46:53 2026 reduce to 598595224 relations and 478627002 ideals in 7 passes
  83. Wed Aug 26 16:46:53 2026 max relations containing the same ideal: 194
  84. Wed Aug 26 16:50:02 2026 removing 8783811 relations and 6783811 ideals in 2000000 cliques
  85. Wed Aug 26 16:50:18 2026 commencing in-memory singleton removal
  86. Wed Aug 26 16:50:24 2026 begin with 589811413 relations and 478627002 unique ideals
  87. Wed Aug 26 16:50:43 2026 reduce to 589702817 relations and 471734244 ideals in 8 passes
  88. Wed Aug 26 16:50:43 2026 max relations containing the same ideal: 193
  89. Wed Aug 26 16:53:50 2026 removing 8581303 relations and 6581303 ideals in 2000000 cliques
  90. Wed Aug 26 16:54:06 2026 commencing in-memory singleton removal
  91. Wed Aug 26 16:54:12 2026 begin with 581121514 relations and 471734244 unique ideals
  92. Wed Aug 26 16:54:27 2026 reduce to 581016416 relations and 465047489 ideals in 6 passes
  93. Wed Aug 26 16:54:27 2026 max relations containing the same ideal: 191
  94. Wed Aug 26 16:57:31 2026 removing 8411656 relations and 6411656 ideals in 2000000 cliques
  95. Wed Aug 26 16:57:47 2026 commencing in-memory singleton removal
  96. Wed Aug 26 16:57:53 2026 begin with 572604760 relations and 465047489 unique ideals
  97. Wed Aug 26 16:58:10 2026 reduce to 572501769 relations and 458532466 ideals in 7 passes
  98. Wed Aug 26 16:58:10 2026 max relations containing the same ideal: 188
  99. Wed Aug 26 17:01:10 2026 removing 8265246 relations and 6265246 ideals in 2000000 cliques
  100. Wed Aug 26 17:01:26 2026 commencing in-memory singleton removal
  101. Wed Aug 26 17:01:31 2026 begin with 564236523 relations and 458532466 unique ideals
  102. Wed Aug 26 17:01:48 2026 reduce to 564136113 relations and 452166413 ideals in 7 passes
  103. Wed Aug 26 17:01:48 2026 max relations containing the same ideal: 188
  104. Wed Aug 26 17:04:48 2026 removing 8131357 relations and 6131357 ideals in 2000000 cliques
  105. Wed Aug 26 17:05:03 2026 commencing in-memory singleton removal
  106. Wed Aug 26 17:05:08 2026 begin with 556004756 relations and 452166413 unique ideals
  107. Wed Aug 26 17:05:25 2026 reduce to 555906008 relations and 445936004 ideals in 7 passes
  108. Wed Aug 26 17:05:25 2026 max relations containing the same ideal: 188
  109. Wed Aug 26 17:08:20 2026 removing 8019247 relations and 6019247 ideals in 2000000 cliques
  110. Wed Aug 26 17:08:35 2026 commencing in-memory singleton removal
  111. Wed Aug 26 17:08:40 2026 begin with 547886761 relations and 445936004 unique ideals
  112. Wed Aug 26 17:08:56 2026 reduce to 547788085 relations and 439817739 ideals in 6 passes
  113. Wed Aug 26 17:08:56 2026 max relations containing the same ideal: 184
  114. Wed Aug 26 17:11:48 2026 removing 7918563 relations and 5918563 ideals in 2000000 cliques
  115. Wed Aug 26 17:12:03 2026 commencing in-memory singleton removal
  116. Wed Aug 26 17:12:08 2026 begin with 539869522 relations and 439817739 unique ideals
  117. Wed Aug 26 17:12:23 2026 reduce to 539771576 relations and 433800856 ideals in 6 passes
  118. Wed Aug 26 17:12:23 2026 max relations containing the same ideal: 183
  119. Wed Aug 26 17:15:13 2026 removing 7837268 relations and 5837268 ideals in 2000000 cliques
  120. Wed Aug 26 17:15:27 2026 commencing in-memory singleton removal
  121. Wed Aug 26 17:15:32 2026 begin with 531934308 relations and 433800856 unique ideals
  122. Wed Aug 26 17:15:47 2026 reduce to 531837286 relations and 427866177 ideals in 6 passes
  123. Wed Aug 26 17:15:47 2026 max relations containing the same ideal: 181
  124. Wed Aug 26 17:18:34 2026 removing 7756433 relations and 5756433 ideals in 2000000 cliques
  125. Wed Aug 26 17:18:48 2026 commencing in-memory singleton removal
  126. Wed Aug 26 17:18:53 2026 begin with 524080853 relations and 427866177 unique ideals
  127. Wed Aug 26 17:19:08 2026 reduce to 523984161 relations and 422012688 ideals in 6 passes
  128. Wed Aug 26 17:19:08 2026 max relations containing the same ideal: 180
  129. Wed Aug 26 17:21:53 2026 removing 7687120 relations and 5687120 ideals in 2000000 cliques
  130. Wed Aug 26 17:22:07 2026 commencing in-memory singleton removal
  131. Wed Aug 26 17:22:12 2026 begin with 516297041 relations and 422012688 unique ideals
  132. Wed Aug 26 17:22:26 2026 reduce to 516200252 relations and 416228375 ideals in 6 passes
  133. Wed Aug 26 17:22:26 2026 max relations containing the same ideal: 178
  134. Wed Aug 26 17:25:11 2026 removing 7625524 relations and 5625524 ideals in 2000000 cliques
  135. Wed Aug 26 17:25:24 2026 commencing in-memory singleton removal
  136. Wed Aug 26 17:25:29 2026 begin with 508574728 relations and 416228375 unique ideals
  137. Wed Aug 26 17:25:43 2026 reduce to 508477836 relations and 410505525 ideals in 6 passes
  138. Wed Aug 26 17:25:43 2026 max relations containing the same ideal: 178
  139. Wed Aug 26 17:28:22 2026 removing 7569197 relations and 5569197 ideals in 2000000 cliques
  140. Wed Aug 26 17:28:36 2026 commencing in-memory singleton removal
  141. Wed Aug 26 17:28:41 2026 begin with 500908639 relations and 410505525 unique ideals
  142. Wed Aug 26 17:28:54 2026 reduce to 500811638 relations and 404838916 ideals in 6 passes
  143. Wed Aug 26 17:28:54 2026 max relations containing the same ideal: 176
  144. Wed Aug 26 17:31:32 2026 removing 7518389 relations and 5518389 ideals in 2000000 cliques
  145. Wed Aug 26 17:31:45 2026 commencing in-memory singleton removal
  146. Wed Aug 26 17:31:50 2026 begin with 493293249 relations and 404838916 unique ideals
  147. Wed Aug 26 17:32:03 2026 reduce to 493195339 relations and 399222166 ideals in 6 passes
  148. Wed Aug 26 17:32:03 2026 max relations containing the same ideal: 176
  149. Wed Aug 26 17:34:44 2026 removing 7474881 relations and 5474881 ideals in 2000000 cliques
  150. Wed Aug 26 17:34:57 2026 commencing in-memory singleton removal
  151. Wed Aug 26 17:35:02 2026 begin with 485720458 relations and 399222166 unique ideals
  152. Wed Aug 26 17:35:15 2026 reduce to 485622855 relations and 393649212 ideals in 6 passes
  153. Wed Aug 26 17:35:15 2026 max relations containing the same ideal: 173
  154. Wed Aug 26 17:37:49 2026 removing 7429682 relations and 5429682 ideals in 2000000 cliques
  155. Wed Aug 26 17:38:03 2026 commencing in-memory singleton removal
  156. Wed Aug 26 17:38:07 2026 begin with 478193173 relations and 393649212 unique ideals
  157. Wed Aug 26 17:38:20 2026 reduce to 478094968 relations and 388120835 ideals in 6 passes
  158. Wed Aug 26 17:38:20 2026 max relations containing the same ideal: 172
  159. Wed Aug 26 17:40:53 2026 removing 7396406 relations and 5396406 ideals in 2000000 cliques
  160. Wed Aug 26 17:41:06 2026 commencing in-memory singleton removal
  161. Wed Aug 26 17:41:10 2026 begin with 470698562 relations and 388120835 unique ideals
  162. Wed Aug 26 17:41:23 2026 reduce to 470599198 relations and 382624545 ideals in 6 passes
  163. Wed Aug 26 17:41:23 2026 max relations containing the same ideal: 169
  164. Wed Aug 26 17:43:53 2026 removing 7361577 relations and 5361577 ideals in 2000000 cliques
  165. Wed Aug 26 17:44:06 2026 commencing in-memory singleton removal
  166. Wed Aug 26 17:44:10 2026 begin with 463237621 relations and 382624545 unique ideals
  167. Wed Aug 26 17:44:23 2026 reduce to 463137999 relations and 377162886 ideals in 6 passes
  168. Wed Aug 26 17:44:23 2026 max relations containing the same ideal: 167
  169. Wed Aug 26 17:46:52 2026 removing 7331991 relations and 5331991 ideals in 2000000 cliques
  170. Wed Aug 26 17:47:04 2026 commencing in-memory singleton removal
  171. Wed Aug 26 17:47:08 2026 begin with 455806008 relations and 377162886 unique ideals
  172. Wed Aug 26 17:47:21 2026 reduce to 455705804 relations and 371730207 ideals in 6 passes
  173. Wed Aug 26 17:47:21 2026 max relations containing the same ideal: 166
  174. Wed Aug 26 17:49:48 2026 removing 7307949 relations and 5307949 ideals in 2000000 cliques
  175. Wed Aug 26 17:50:00 2026 commencing in-memory singleton removal
  176. Wed Aug 26 17:50:04 2026 begin with 448397855 relations and 371730207 unique ideals
  177. Wed Aug 26 17:50:16 2026 reduce to 448295939 relations and 366319843 ideals in 6 passes
  178. Wed Aug 26 17:50:16 2026 max relations containing the same ideal: 165
  179. Wed Aug 26 17:52:41 2026 removing 7284311 relations and 5284311 ideals in 2000000 cliques
  180. Wed Aug 26 17:52:53 2026 commencing in-memory singleton removal
  181. Wed Aug 26 17:52:57 2026 begin with 441011628 relations and 366319843 unique ideals
  182. Wed Aug 26 17:53:09 2026 reduce to 440909575 relations and 360932950 ideals in 6 passes
  183. Wed Aug 26 17:53:09 2026 max relations containing the same ideal: 162
  184. Wed Aug 26 17:55:31 2026 removing 7263489 relations and 5263489 ideals in 2000000 cliques
  185. Wed Aug 26 17:55:44 2026 commencing in-memory singleton removal
  186. Wed Aug 26 17:55:48 2026 begin with 433646086 relations and 360932950 unique ideals
  187. Wed Aug 26 17:55:59 2026 reduce to 433542931 relations and 355565744 ideals in 6 passes
  188. Wed Aug 26 17:55:59 2026 max relations containing the same ideal: 161
  189. Wed Aug 26 17:58:19 2026 removing 7245917 relations and 5245917 ideals in 2000000 cliques
  190. Wed Aug 26 17:58:30 2026 commencing in-memory singleton removal
  191. Wed Aug 26 17:58:34 2026 begin with 426297014 relations and 355565744 unique ideals
  192. Wed Aug 26 17:58:46 2026 reduce to 426192806 relations and 350214980 ideals in 6 passes
  193. Wed Aug 26 17:58:46 2026 max relations containing the same ideal: 157
  194. Wed Aug 26 18:01:03 2026 removing 7227612 relations and 5227612 ideals in 2000000 cliques
  195. Wed Aug 26 18:01:15 2026 commencing in-memory singleton removal
  196. Wed Aug 26 18:01:19 2026 begin with 418965194 relations and 350214980 unique ideals
  197. Wed Aug 26 18:01:30 2026 reduce to 418859386 relations and 344880959 ideals in 6 passes
  198. Wed Aug 26 18:01:30 2026 max relations containing the same ideal: 156
  199. Wed Aug 26 18:03:44 2026 removing 7216837 relations and 5216837 ideals in 2000000 cliques
  200. Wed Aug 26 18:03:55 2026 commencing in-memory singleton removal
  201. Wed Aug 26 18:03:59 2026 begin with 411642549 relations and 344880959 unique ideals
  202. Wed Aug 26 18:04:10 2026 reduce to 411535220 relations and 339556140 ideals in 6 passes
  203. Wed Aug 26 18:04:10 2026 max relations containing the same ideal: 154
  204. Wed Aug 26 18:06:25 2026 removing 7206058 relations and 5206058 ideals in 2000000 cliques
  205. Wed Aug 26 18:06:36 2026 commencing in-memory singleton removal
  206. Wed Aug 26 18:06:40 2026 begin with 404329162 relations and 339556140 unique ideals
  207. Wed Aug 26 18:06:50 2026 reduce to 404221115 relations and 334241320 ideals in 6 passes
  208. Wed Aug 26 18:06:50 2026 max relations containing the same ideal: 153
  209. Wed Aug 26 18:09:01 2026 removing 7198085 relations and 5198085 ideals in 2000000 cliques
  210. Wed Aug 26 18:09:12 2026 commencing in-memory singleton removal
  211. Wed Aug 26 18:09:15 2026 begin with 397023030 relations and 334241320 unique ideals
  212. Wed Aug 26 18:09:26 2026 reduce to 396913492 relations and 328933066 ideals in 6 passes
  213. Wed Aug 26 18:09:26 2026 max relations containing the same ideal: 150
  214. Wed Aug 26 18:11:34 2026 removing 7186531 relations and 5186531 ideals in 2000000 cliques
  215. Wed Aug 26 18:11:45 2026 commencing in-memory singleton removal
  216. Wed Aug 26 18:11:48 2026 begin with 389726961 relations and 328933066 unique ideals
  217. Wed Aug 26 18:11:58 2026 reduce to 389614834 relations and 323633706 ideals in 6 passes
  218. Wed Aug 26 18:11:58 2026 max relations containing the same ideal: 150
  219. Wed Aug 26 18:14:05 2026 removing 7184095 relations and 5184095 ideals in 2000000 cliques
  220. Wed Aug 26 18:14:16 2026 commencing in-memory singleton removal
  221. Wed Aug 26 18:14:19 2026 begin with 382430739 relations and 323633706 unique ideals
  222. Wed Aug 26 18:14:29 2026 reduce to 382316760 relations and 318334920 ideals in 6 passes
  223. Wed Aug 26 18:14:29 2026 max relations containing the same ideal: 147
  224. Wed Aug 26 18:16:33 2026 removing 7176719 relations and 5176719 ideals in 2000000 cliques
  225. Wed Aug 26 18:16:44 2026 commencing in-memory singleton removal
  226. Wed Aug 26 18:16:47 2026 begin with 375140041 relations and 318334920 unique ideals
  227. Wed Aug 26 18:16:57 2026 reduce to 375025528 relations and 313042939 ideals in 6 passes
  228. Wed Aug 26 18:16:57 2026 max relations containing the same ideal: 147
  229. Wed Aug 26 18:18:58 2026 removing 7175736 relations and 5175736 ideals in 2000000 cliques
  230. Wed Aug 26 18:19:09 2026 commencing in-memory singleton removal
  231. Wed Aug 26 18:19:12 2026 begin with 367849792 relations and 313042939 unique ideals
  232. Wed Aug 26 18:19:24 2026 reduce to 367731736 relations and 307748385 ideals in 8 passes
  233. Wed Aug 26 18:19:24 2026 max relations containing the same ideal: 145
  234. Wed Aug 26 18:21:24 2026 removing 7178582 relations and 5178582 ideals in 2000000 cliques
  235. Wed Aug 26 18:21:34 2026 commencing in-memory singleton removal
  236. Wed Aug 26 18:21:37 2026 begin with 360553154 relations and 307748385 unique ideals
  237. Wed Aug 26 18:21:47 2026 reduce to 360434001 relations and 302449876 ideals in 6 passes
  238. Wed Aug 26 18:21:47 2026 max relations containing the same ideal: 145
  239. Wed Aug 26 18:23:45 2026 removing 7180865 relations and 5180865 ideals in 2000000 cliques
  240. Wed Aug 26 18:23:54 2026 commencing in-memory singleton removal
  241. Wed Aug 26 18:23:58 2026 begin with 353253136 relations and 302449876 unique ideals
  242. Wed Aug 26 18:24:08 2026 reduce to 353131220 relations and 297146244 ideals in 7 passes
  243. Wed Aug 26 18:24:08 2026 max relations containing the same ideal: 142
  244. Wed Aug 26 18:26:04 2026 removing 7188952 relations and 5188952 ideals in 2000000 cliques
  245. Wed Aug 26 18:26:13 2026 commencing in-memory singleton removal
  246. Wed Aug 26 18:26:17 2026 begin with 345942268 relations and 297146244 unique ideals
  247. Wed Aug 26 18:26:25 2026 reduce to 345818397 relations and 291832538 ideals in 5 passes
  248. Wed Aug 26 18:26:25 2026 max relations containing the same ideal: 139
  249. Wed Aug 26 18:28:17 2026 removing 7193642 relations and 5193642 ideals in 2000000 cliques
  250. Wed Aug 26 18:28:27 2026 commencing in-memory singleton removal
  251. Wed Aug 26 18:28:30 2026 begin with 338624755 relations and 291832538 unique ideals
  252. Wed Aug 26 18:28:39 2026 reduce to 338498016 relations and 286511294 ideals in 6 passes
  253. Wed Aug 26 18:28:39 2026 max relations containing the same ideal: 137
  254. Wed Aug 26 18:30:30 2026 removing 7200366 relations and 5200366 ideals in 2000000 cliques
  255. Wed Aug 26 18:30:40 2026 commencing in-memory singleton removal
  256. Wed Aug 26 18:30:43 2026 begin with 331297650 relations and 286511294 unique ideals
  257. Wed Aug 26 18:30:52 2026 reduce to 331168622 relations and 281180987 ideals in 6 passes
  258. Wed Aug 26 18:30:52 2026 max relations containing the same ideal: 135
  259. Wed Aug 26 18:32:43 2026 removing 7207378 relations and 5207378 ideals in 2000000 cliques
  260. Wed Aug 26 18:32:53 2026 commencing in-memory singleton removal
  261. Wed Aug 26 18:32:56 2026 begin with 323961244 relations and 281180987 unique ideals
  262. Wed Aug 26 18:33:04 2026 reduce to 323829060 relations and 275840404 ideals in 6 passes
  263. Wed Aug 26 18:33:04 2026 max relations containing the same ideal: 134
  264. Wed Aug 26 18:34:52 2026 removing 7220083 relations and 5220083 ideals in 2000000 cliques
  265. Wed Aug 26 18:35:01 2026 commencing in-memory singleton removal
  266. Wed Aug 26 18:35:04 2026 begin with 316608977 relations and 275840404 unique ideals
  267. Wed Aug 26 18:35:13 2026 reduce to 316474056 relations and 270484445 ideals in 6 passes
  268. Wed Aug 26 18:35:13 2026 max relations containing the same ideal: 132
  269. Wed Aug 26 18:36:58 2026 removing 7236546 relations and 5236546 ideals in 2000000 cliques
  270. Wed Aug 26 18:37:07 2026 commencing in-memory singleton removal
  271. Wed Aug 26 18:37:10 2026 begin with 309237510 relations and 270484445 unique ideals
  272. Wed Aug 26 18:37:18 2026 reduce to 309098525 relations and 265107888 ideals in 6 passes
  273. Wed Aug 26 18:37:18 2026 max relations containing the same ideal: 132
  274. Wed Aug 26 18:39:00 2026 removing 7249761 relations and 5249761 ideals in 2000000 cliques
  275. Wed Aug 26 18:39:09 2026 commencing in-memory singleton removal
  276. Wed Aug 26 18:39:12 2026 begin with 301848764 relations and 265107888 unique ideals
  277. Wed Aug 26 18:39:20 2026 reduce to 301706659 relations and 259714915 ideals in 6 passes
  278. Wed Aug 26 18:39:20 2026 max relations containing the same ideal: 130
  279. Wed Aug 26 18:41:00 2026 removing 7266158 relations and 5266158 ideals in 2000000 cliques
  280. Wed Aug 26 18:41:09 2026 commencing in-memory singleton removal
  281. Wed Aug 26 18:41:11 2026 begin with 294440501 relations and 259714915 unique ideals
  282. Wed Aug 26 18:41:19 2026 reduce to 294295165 relations and 254302225 ideals in 6 passes
  283. Wed Aug 26 18:41:19 2026 max relations containing the same ideal: 130
  284. Wed Aug 26 18:42:57 2026 removing 7284768 relations and 5284768 ideals in 2000000 cliques
  285. Wed Aug 26 18:43:06 2026 commencing in-memory singleton removal
  286. Wed Aug 26 18:43:08 2026 begin with 287010397 relations and 254302225 unique ideals
  287. Wed Aug 26 18:43:17 2026 reduce to 286861669 relations and 248867581 ideals in 7 passes
  288. Wed Aug 26 18:43:17 2026 max relations containing the same ideal: 126
  289. Wed Aug 26 18:44:52 2026 removing 7309019 relations and 5309019 ideals in 2000000 cliques
  290. Wed Aug 26 18:45:01 2026 commencing in-memory singleton removal
  291. Wed Aug 26 18:45:03 2026 begin with 279552650 relations and 248867581 unique ideals
  292. Wed Aug 26 18:45:11 2026 reduce to 279399859 relations and 243404574 ideals in 7 passes
  293. Wed Aug 26 18:45:11 2026 max relations containing the same ideal: 119
  294. Wed Aug 26 18:46:44 2026 removing 7328337 relations and 5328337 ideals in 2000000 cliques
  295. Wed Aug 26 18:46:52 2026 commencing in-memory singleton removal
  296. Wed Aug 26 18:46:54 2026 begin with 272071522 relations and 243404574 unique ideals
  297. Wed Aug 26 18:47:01 2026 reduce to 271914424 relations and 237917875 ideals in 6 passes
  298. Wed Aug 26 18:47:01 2026 max relations containing the same ideal: 118
  299. Wed Aug 26 18:48:31 2026 removing 7357044 relations and 5357044 ideals in 2000000 cliques
  300. Wed Aug 26 18:48:39 2026 commencing in-memory singleton removal
  301. Wed Aug 26 18:48:41 2026 begin with 264557380 relations and 237917875 unique ideals
  302. Wed Aug 26 18:48:48 2026 reduce to 264394772 relations and 232396897 ideals in 6 passes
  303. Wed Aug 26 18:48:48 2026 max relations containing the same ideal: 115
  304. Wed Aug 26 18:50:16 2026 removing 7390154 relations and 5390154 ideals in 2000000 cliques
  305. Wed Aug 26 18:50:23 2026 commencing in-memory singleton removal
  306. Wed Aug 26 18:50:26 2026 begin with 257004618 relations and 232396897 unique ideals
  307. Wed Aug 26 18:50:34 2026 reduce to 256837489 relations and 226838251 ideals in 7 passes
  308. Wed Aug 26 18:50:34 2026 max relations containing the same ideal: 112
  309. Wed Aug 26 18:51:58 2026 removing 7418477 relations and 5418477 ideals in 2000000 cliques
  310. Wed Aug 26 18:52:06 2026 commencing in-memory singleton removal
  311. Wed Aug 26 18:52:08 2026 begin with 249419012 relations and 226838251 unique ideals
  312. Wed Aug 26 18:52:15 2026 reduce to 249247183 relations and 221246420 ideals in 6 passes
  313. Wed Aug 26 18:52:15 2026 max relations containing the same ideal: 111
  314. Wed Aug 26 18:53:37 2026 removing 7451696 relations and 5451696 ideals in 2000000 cliques
  315. Wed Aug 26 18:53:45 2026 commencing in-memory singleton removal
  316. Wed Aug 26 18:53:47 2026 begin with 241795487 relations and 221246420 unique ideals
  317. Wed Aug 26 18:53:53 2026 reduce to 241617502 relations and 215615299 ideals in 6 passes
  318. Wed Aug 26 18:53:53 2026 max relations containing the same ideal: 110
  319. Wed Aug 26 18:55:13 2026 removing 7493568 relations and 5493568 ideals in 2000000 cliques
  320. Wed Aug 26 18:55:20 2026 commencing in-memory singleton removal
  321. Wed Aug 26 18:55:23 2026 begin with 234123934 relations and 215615299 unique ideals
  322. Wed Aug 26 18:55:29 2026 reduce to 233938753 relations and 209934962 ideals in 6 passes
  323. Wed Aug 26 18:55:29 2026 max relations containing the same ideal: 105
  324. Wed Aug 26 18:56:45 2026 removing 7530794 relations and 5530794 ideals in 2000000 cliques
  325. Wed Aug 26 18:56:52 2026 commencing in-memory singleton removal
  326. Wed Aug 26 18:56:54 2026 begin with 226407959 relations and 209934962 unique ideals
  327. Wed Aug 26 18:57:01 2026 reduce to 226216085 relations and 204210634 ideals in 7 passes
  328. Wed Aug 26 18:57:01 2026 max relations containing the same ideal: 103
  329. Wed Aug 26 18:58:15 2026 removing 7578374 relations and 5578374 ideals in 2000000 cliques
  330. Wed Aug 26 18:58:22 2026 commencing in-memory singleton removal
  331. Wed Aug 26 18:58:24 2026 begin with 218637711 relations and 204210634 unique ideals
  332. Wed Aug 26 18:58:30 2026 reduce to 218438701 relations and 198431418 ideals in 7 passes
  333. Wed Aug 26 18:58:30 2026 max relations containing the same ideal: 99
  334. Wed Aug 26 18:59:40 2026 removing 7624291 relations and 5624291 ideals in 2000000 cliques
  335. Wed Aug 26 18:59:47 2026 commencing in-memory singleton removal
  336. Wed Aug 26 18:59:49 2026 begin with 210814410 relations and 198431418 unique ideals
  337. Wed Aug 26 18:59:55 2026 reduce to 210606226 relations and 192597070 ideals in 7 passes
  338. Wed Aug 26 18:59:55 2026 max relations containing the same ideal: 97
  339. Wed Aug 26 19:01:03 2026 removing 7677685 relations and 5677685 ideals in 2000000 cliques
  340. Wed Aug 26 19:01:10 2026 commencing in-memory singleton removal
  341. Wed Aug 26 19:01:12 2026 begin with 202928541 relations and 192597070 unique ideals
  342. Wed Aug 26 19:01:17 2026 reduce to 202710879 relations and 186699807 ideals in 7 passes
  343. Wed Aug 26 19:01:17 2026 max relations containing the same ideal: 95
  344. Wed Aug 26 19:02:23 2026 removing 7736279 relations and 5736279 ideals in 2000000 cliques
  345. Wed Aug 26 19:02:29 2026 commencing in-memory singleton removal
  346. Wed Aug 26 19:02:31 2026 begin with 194974600 relations and 186699807 unique ideals
  347. Wed Aug 26 19:02:36 2026 reduce to 194747314 relations and 180734158 ideals in 6 passes
  348. Wed Aug 26 19:02:36 2026 max relations containing the same ideal: 92
  349. Wed Aug 26 19:03:38 2026 removing 7794338 relations and 5794338 ideals in 2000000 cliques
  350. Wed Aug 26 19:03:44 2026 commencing in-memory singleton removal
  351. Wed Aug 26 19:03:46 2026 begin with 186952976 relations and 180734158 unique ideals
  352. Wed Aug 26 19:03:51 2026 reduce to 186712636 relations and 174697215 ideals in 6 passes
  353. Wed Aug 26 19:03:51 2026 max relations containing the same ideal: 90
  354. Wed Aug 26 19:04:50 2026 removing 7863670 relations and 5863670 ideals in 2000000 cliques
  355. Wed Aug 26 19:04:56 2026 commencing in-memory singleton removal
  356. Wed Aug 26 19:04:58 2026 begin with 178848966 relations and 174697215 unique ideals
  357. Wed Aug 26 19:05:03 2026 reduce to 178593734 relations and 168575777 ideals in 8 passes
  358. Wed Aug 26 19:05:03 2026 max relations containing the same ideal: 88
  359. Wed Aug 26 19:06:00 2026 removing 7935590 relations and 5935590 ideals in 2000000 cliques
  360. Wed Aug 26 19:06:06 2026 commencing in-memory singleton removal
  361. Wed Aug 26 19:06:07 2026 begin with 170658144 relations and 168575777 unique ideals
  362. Wed Aug 26 19:06:12 2026 reduce to 170387836 relations and 162367185 ideals in 6 passes
  363. Wed Aug 26 19:06:12 2026 max relations containing the same ideal: 84
  364. Wed Aug 26 19:07:06 2026 removing 8020629 relations and 6020629 ideals in 2000000 cliques
  365. Wed Aug 26 19:07:12 2026 commencing in-memory singleton removal
  366. Wed Aug 26 19:07:13 2026 begin with 162367207 relations and 162367185 unique ideals
  367. Wed Aug 26 19:07:18 2026 reduce to 162078955 relations and 156055293 ideals in 7 passes
  368. Wed Aug 26 19:07:18 2026 max relations containing the same ideal: 82
  369. Wed Aug 26 19:08:10 2026 removing 7232866 relations and 5490371 ideals in 1742495 cliques
  370. Wed Aug 26 19:08:15 2026 commencing in-memory singleton removal
  371. Wed Aug 26 19:08:16 2026 begin with 154846089 relations and 156055293 unique ideals
  372. Wed Aug 26 19:08:20 2026 reduce to 154599721 relations and 150316246 ideals in 7 passes
  373. Wed Aug 26 19:08:20 2026 max relations containing the same ideal: 80
  374. Wed Aug 26 19:09:32 2026 relations with 0 large ideals: 136101
  375. Wed Aug 26 19:09:32 2026 relations with 1 large ideals: 62063
  376. Wed Aug 26 19:09:32 2026 relations with 2 large ideals: 843013
  377. Wed Aug 26 19:09:32 2026 relations with 3 large ideals: 5176619
  378. Wed Aug 26 19:09:32 2026 relations with 4 large ideals: 17169491
  379. Wed Aug 26 19:09:32 2026 relations with 5 large ideals: 33899902
  380. Wed Aug 26 19:09:32 2026 relations with 6 large ideals: 41707199
  381. Wed Aug 26 19:09:32 2026 relations with 7+ large ideals: 55605333
  382. Wed Aug 26 19:09:32 2026 commencing 2-way merge
  383. Wed Aug 26 19:10:52 2026 reduce to 98025562 relation sets and 93742087 unique ideals
  384. Wed Aug 26 19:10:52 2026 commencing full merge
  385. Wed Aug 26 19:37:20 2026 memory use: 11928.4 MB
  386. Wed Aug 26 19:37:29 2026 found 46766213 cycles, need 46218287
  387. Wed Aug 26 19:37:45 2026 weight of 46218287 cycles is about 5084280833 (110.01/cycle)
  388. Wed Aug 26 19:37:45 2026 distribution of cycle lengths:
  389. Wed Aug 26 19:37:45 2026 1 relations: 3151244
  390. Wed Aug 26 19:37:45 2026 2 relations: 3591314
  391. Wed Aug 26 19:37:45 2026 3 relations: 3873232
  392. Wed Aug 26 19:37:45 2026 4 relations: 3906453
  393. Wed Aug 26 19:37:45 2026 5 relations: 3912387
  394. Wed Aug 26 19:37:45 2026 6 relations: 3775584
  395. Wed Aug 26 19:37:45 2026 7 relations: 3646195
  396. Wed Aug 26 19:37:45 2026 8 relations: 3411223
  397. Wed Aug 26 19:37:45 2026 9 relations: 3107199
  398. Wed Aug 26 19:37:45 2026 10+ relations: 13843456
  399. Wed Aug 26 19:37:45 2026 heaviest cycle: 26 relations
  400. Wed Aug 26 19:37:59 2026 commencing cycle optimization
  401. Wed Aug 26 19:39:21 2026 start with 341153486 relations
  402. Wed Aug 26 19:48:35 2026 pruned 12089442 relations
  403. Wed Aug 26 19:48:36 2026 memory use: 9891.2 MB
  404. Wed Aug 26 19:48:36 2026 distribution of cycle lengths:
  405. Wed Aug 26 19:48:36 2026 1 relations: 3151244
  406. Wed Aug 26 19:48:36 2026 2 relations: 3675851
  407. Wed Aug 26 19:48:36 2026 3 relations: 4027826
  408. Wed Aug 26 19:48:36 2026 4 relations: 4046848
  409. Wed Aug 26 19:48:36 2026 5 relations: 4074961
  410. Wed Aug 26 19:48:36 2026 6 relations: 3921257
  411. Wed Aug 26 19:48:36 2026 7 relations: 3788404
  412. Wed Aug 26 19:48:36 2026 8 relations: 3522671
  413. Wed Aug 26 19:48:36 2026 9 relations: 3195738
  414. Wed Aug 26 19:48:36 2026 10+ relations: 12813487
  415. Wed Aug 26 19:48:36 2026 heaviest cycle: 25 relations
  416. Wed Aug 26 19:50:04 2026 RelProcTime: 18532
  417. Wed Aug 26 19:50:04 2026 elapsed time 05:08:53
  418. Wed Aug 26 19:50:05 2026
  419. Wed Aug 26 19:50:05 2026
  420. Wed Aug 26 19:50:05 2026 Msieve v. 1.54 (SVN Unversioned directory)
  421. Wed Aug 26 19:50:05 2026 random seeds: 94c7efdc e07b66d5
  422. Wed Aug 26 19:50:05 2026 MPI process 0 of 1
  423. Wed Aug 26 19:50:05 2026 Using 46 OpenMP threads
  424. Wed Aug 26 19:50:05 2026 factoring 33914004847131626225489545450574641480254386401138111216240671686027017248288591349531905058230893757437951577271736230210812847655487490843994447166007325768780871432222187074441837834908424909421917454805689413824941381376705113500493899332036575645843887122917952682551027 (275 digits)
  425. Wed Aug 26 19:50:06 2026 no P-1/P+1/ECM available, skipping
  426. Wed Aug 26 19:50:06 2026 commencing number field sieve (275-digit input)
  427. Wed Aug 26 19:50:06 2026 R0: 555154253151754381393348832081331812081715043681
  428. Wed Aug 26 19:50:06 2026 R1: -1
  429. Wed Aug 26 19:50:06 2026 A0: -929077
  430. Wed Aug 26 19:50:06 2026 A1: 0
  431. Wed Aug 26 19:50:06 2026 A2: 0
  432. Wed Aug 26 19:50:06 2026 A3: 0
  433. Wed Aug 26 19:50:06 2026 A4: 0
  434. Wed Aug 26 19:50:06 2026 A5: 0
  435. Wed Aug 26 19:50:06 2026 A6: 1
  436. Wed Aug 26 19:50:06 2026 skew 12.83, size 1.064e-14, alpha 2.128, combined = 3.992e-15 rroots = 2
  437. Wed Aug 26 19:50:06 2026
  438. Wed Aug 26 19:50:06 2026 commencing linear algebra
  439. Wed Aug 26 19:50:06 2026 using VBITS=128
  440. Wed Aug 26 19:50:06 2026 stopping after matrix build
  441. Wed Aug 26 19:50:06 2026 initialized process (0,0) of 1 x 1 grid
  442. Wed Aug 26 19:50:12 2026 read 46218287 cycles
  443. Wed Aug 26 19:51:52 2026 cycles contain 152352560 unique relations
  444. Wed Aug 26 19:54:36 2026 read 152352560 relations
  445. Wed Aug 26 19:54:47 2026 using 20 quadratic characters above 4294917295
  446. Wed Aug 26 19:55:07 2026 building initial matrix
  447. Wed Aug 26 20:29:07 2026 memory use: 19987.4 MB
  448. Wed Aug 26 20:29:54 2026 read 46218287 cycles
  449. Wed Aug 26 20:30:01 2026 matrix is 46218108 x 46218287 (20139.0 MB) with weight 5693094466 (123.18/col)
  450. Wed Aug 26 20:30:01 2026 sparse part has weight 4817127943 (104.23/col)
  451. Wed Aug 26 20:42:20 2026 filtering completed in 2 passes
  452. Wed Aug 26 20:42:29 2026 matrix is 46213505 x 46213679 (20138.6 MB) with weight 5692950189 (123.19/col)
  453. Wed Aug 26 20:42:29 2026 sparse part has weight 4817069404 (104.23/col)
  454. Wed Aug 26 20:44:51 2026 BLanczosTime: 3285
  455. Wed Aug 26 20:44:51 2026 elapsed time 00:54:46
  456. Wed Aug 26 21:05:25 2026
  457. Wed Aug 26 21:05:25 2026
  458. Wed Aug 26 21:05:25 2026 Msieve v. 1.54 (SVN Unversioned directory)
  459. Wed Aug 26 21:05:25 2026 random seeds: d6736f9f d6975acf
  460. Wed Aug 26 21:05:25 2026 MPI process 0 of 4
  461. Wed Aug 26 21:05:25 2026 Using 15 OpenMP threads
  462. Wed Aug 26 21:05:25 2026 factoring 33914004847131626225489545450574641480254386401138111216240671686027017248288591349531905058230893757437951577271736230210812847655487490843994447166007325768780871432222187074441837834908424909421917454805689413824941381376705113500493899332036575645843887122917952682551027 (275 digits)
  463. Wed Aug 26 21:05:25 2026 no P-1/P+1/ECM available, skipping
  464. Wed Aug 26 21:05:25 2026 commencing number field sieve (275-digit input)
  465. Wed Aug 26 21:05:25 2026 R0: 555154253151754381393348832081331812081715043681
  466. Wed Aug 26 21:05:25 2026 R1: -1
  467. Wed Aug 26 21:05:25 2026 A0: -929077
  468. Wed Aug 26 21:05:25 2026 A1: 0
  469. Wed Aug 26 21:05:25 2026 A2: 0
  470. Wed Aug 26 21:05:25 2026 A3: 0
  471. Wed Aug 26 21:05:25 2026 A4: 0
  472. Wed Aug 26 21:05:25 2026 A5: 0
  473. Wed Aug 26 21:05:25 2026 A6: 1
  474. Wed Aug 26 21:05:25 2026 skew 12.83, size 1.064e-14, alpha 2.128, combined = 3.992e-15 rroots = 2
  475. Wed Aug 26 21:05:25 2026
  476. Wed Aug 26 21:05:25 2026 commencing linear algebra
  477. Wed Aug 26 21:05:25 2026 using VBITS=256
  478. Wed Aug 26 21:05:25 2026 skipping matrix build
  479. Wed Aug 26 21:05:25 2026 initialized process (0,0) of 2 x 2 grid
  480. Wed Aug 26 21:05:47 2026 matrix starts at (0, 0)
  481. Wed Aug 26 21:05:48 2026 matrix is 23106873 x 23106848 (5888.0 MB) with weight 1750360729 (75.75/col)
  482. Wed Aug 26 21:05:48 2026 sparse part has weight 1312434035 (56.80/col)
  483. Wed Aug 26 21:05:48 2026 saving the first 240 matrix rows for later
  484. Wed Aug 26 21:05:52 2026 matrix includes 256 packed rows
  485. Wed Aug 26 21:05:55 2026 matrix is 23106633 x 23106848 (5299.2 MB) with weight 1096920569 (47.47/col)
  486. Wed Aug 26 21:05:55 2026 sparse part has weight 1019442724 (44.12/col)
  487. Wed Aug 26 21:05:55 2026 using GPU 0 (NVIDIA H200)
  488. Wed Aug 26 21:05:55 2026 selected card has CUDA arch 9.0
  489. Wed Aug 26 21:07:05 2026 commencing Lanczos iteration
  490. Wed Aug 26 21:07:06 2026 memory use: 12185.0 MB
  491. Wed Aug 26 21:07:18 2026 linear algebra at 0.1%, ETA 4h36m
  492. Wed Aug 26 21:07:34 2026 checking every 170000 dimensions, checkpointing every 10370000 dimensions
  493. Thu Aug 27 01:33:14 2026 lanczos halted after 181064 iterations (dim = 46213261)
  494. Thu Aug 27 01:36:02 2026 recovered 33 nontrivial dependencies
  495. Thu Aug 27 01:36:03 2026 BLanczosTime: 16238
  496. Thu Aug 27 01:36:03 2026 elapsed time 04:30:38
  497. Thu Aug 27 01:36:04 2026
  498. Thu Aug 27 01:36:04 2026
  499. Thu Aug 27 01:36:04 2026 Msieve v. 1.54 (SVN Unversioned directory)
  500. Thu Aug 27 01:36:04 2026 random seeds: cf6f822a 2c1d00e5
  501. Thu Aug 27 01:36:04 2026 MPI process 0 of 1
  502. Thu Aug 27 01:36:04 2026 Using 32 OpenMP threads
  503. Thu Aug 27 01:36:04 2026 factoring 33914004847131626225489545450574641480254386401138111216240671686027017248288591349531905058230893757437951577271736230210812847655487490843994447166007325768780871432222187074441837834908424909421917454805689413824941381376705113500493899332036575645843887122917952682551027 (275 digits)
  504. Thu Aug 27 01:36:05 2026 no P-1/P+1/ECM available, skipping
  505. Thu Aug 27 01:36:05 2026 commencing number field sieve (275-digit input)
  506. Thu Aug 27 01:36:05 2026 R0: 555154253151754381393348832081331812081715043681
  507. Thu Aug 27 01:36:05 2026 R1: -1
  508. Thu Aug 27 01:36:05 2026 A0: -929077
  509. Thu Aug 27 01:36:05 2026 A1: 0
  510. Thu Aug 27 01:36:05 2026 A2: 0
  511. Thu Aug 27 01:36:05 2026 A3: 0
  512. Thu Aug 27 01:36:05 2026 A4: 0
  513. Thu Aug 27 01:36:05 2026 A5: 0
  514. Thu Aug 27 01:36:05 2026 A6: 1
  515. Thu Aug 27 01:36:05 2026 skew 12.83, size 1.064e-14, alpha 2.128, combined = 3.992e-15 rroots = 2
  516. Thu Aug 27 01:36:05 2026
  517. Thu Aug 27 01:36:05 2026 commencing square root phase
  518. Thu Aug 27 01:36:05 2026 reading relations for dependency 1
  519. Thu Aug 27 01:36:11 2026 read 23112260 cycles
  520. Thu Aug 27 01:36:57 2026 cycles contain 76191644 unique relations
  521. Thu Aug 27 01:40:54 2026 read 76191644 relations
  522. Thu Aug 27 01:46:03 2026 multiplying 76191644 relations
  523. Thu Aug 27 01:51:04 2026 multiply complete, coefficients have about 2248.51 million bits
  524. Thu Aug 27 01:51:11 2026 initial square root is modulo 110437
  525. Thu Aug 27 02:07:15 2026 sqrtTime: 1870
  526. Thu Aug 27 02:07:15 2026 p125 factor: 17762693966759570161528166233368754669099633380858480408744339520711410380008703981686455236782441805202913361188789961396797
  527. Thu Aug 27 02:07:15 2026 p151 factor: 1909282731020249793627816193615412191472818677133351494810441277446215477604070831560662115244325872803186607057667762711078674836111319899439658852591
  528. Thu Aug 27 02:07:15 2026 elapsed time 00:31:11
  529.  
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