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gchilders
Sep 6th, 2026
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  1. Sun Sep 6 00:05:55 2026
  2. Sun Sep 6 00:05:55 2026
  3. Sun Sep 6 00:05:55 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Sep 6 00:05:55 2026 random seeds: 4f1b91e0 41a5c249
  5. Sun Sep 6 00:05:55 2026 MPI process 0 of 1
  6. Sun Sep 6 00:05:55 2026 Using 46 OpenMP threads
  7. Sun Sep 6 00:05:55 2026 factoring 9741966900479557832728273263507898230693242838012030143234914927459786559264276731808131857383079029125131940382636264084924259683952418702727090023636174109940643656950216692696423875253858216094522971238051236794175688334317827045228152906603435114337 (253 digits)
  8. Sun Sep 6 00:05:56 2026 no P-1/P+1/ECM available, skipping
  9. Sun Sep 6 00:05:56 2026 commencing number field sieve (253-digit input)
  10. Sun Sep 6 00:05:56 2026 R0: 211587613802425391637729361787678676290060193601
  11. Sun Sep 6 00:05:56 2026 R1: -37711171281396032013366321198900157303750656
  12. Sun Sep 6 00:05:56 2026 A0: 1
  13. Sun Sep 6 00:05:56 2026 A1: -1
  14. Sun Sep 6 00:05:56 2026 A2: 1
  15. Sun Sep 6 00:05:56 2026 A3: -1
  16. Sun Sep 6 00:05:56 2026 A4: 1
  17. Sun Sep 6 00:05:56 2026 A5: -1
  18. Sun Sep 6 00:05:56 2026 A6: 1
  19. Sun Sep 6 00:05:56 2026 skew 1.00, size 5.852e-14, alpha 2.428, combined = 1.321e-14 rroots = 0
  20. Sun Sep 6 00:05:56 2026
  21. Sun Sep 6 00:05:56 2026 commencing relation filtering
  22. Sun Sep 6 00:05:56 2026 setting target matrix density to 110.0
  23. Sun Sep 6 00:05:56 2026 estimated available RAM is 192068.7 MB
  24. Sun Sep 6 00:05:56 2026 commencing duplicate removal, pass 1
  25. Sun Sep 6 00:17:55 2026 found 206700388 hash collisions in 1023255358 relations
  26. Sun Sep 6 00:18:02 2026 added 2438534 free relations
  27. Sun Sep 6 00:18:02 2026 commencing duplicate removal, pass 2
  28. Sun Sep 6 00:26:43 2026 found 225771748 duplicates and 799922144 unique relations
  29. Sun Sep 6 00:26:43 2026 memory use: 11184.0 MB
  30. Sun Sep 6 00:26:43 2026 reading ideals above 544014336
  31. Sun Sep 6 00:26:43 2026 commencing singleton removal, initial pass
  32. Sun Sep 6 00:38:42 2026 LP64 contains 799922144 relations and 602913643 unique large ideals
  33. Sun Sep 6 00:38:42 2026 memory use: 19692.0 MB
  34. Sun Sep 6 00:38:43 2026 preparing 64-bit LP file for common filtering
  35. Sun Sep 6 00:38:44 2026 start with 799922144 relations and 602913643 ideals
  36. Sun Sep 6 00:39:58 2026 compacted LP dataset has 799922144 relations and 602913643 large ideals
  37. Sun Sep 6 00:39:58 2026 reading all ideals from disk
  38. Sun Sep 6 00:40:09 2026 memory use: 19915.7 MB
  39. Sun Sep 6 00:40:17 2026 commencing in-memory singleton removal
  40. Sun Sep 6 00:40:21 2026 begin with 799922144 relations and 602913643 unique ideals
  41. Sun Sep 6 00:40:42 2026 reduce to 579524996 relations and 365753137 ideals in 13 passes
  42. Sun Sep 6 00:40:42 2026 max relations containing the same ideal: 33
  43. Sun Sep 6 00:41:03 2026 reading ideals above 720000
  44. Sun Sep 6 00:41:03 2026 commencing singleton removal, initial pass
  45. Sun Sep 6 00:58:31 2026 LP64 contains 579524996 relations and 422729634 unique large ideals
  46. Sun Sep 6 00:58:31 2026 memory use: 12176.0 MB
  47. Sun Sep 6 00:58:33 2026 preparing 64-bit LP file for common filtering
  48. Sun Sep 6 00:58:33 2026 start with 579524996 relations and 422729634 ideals
  49. Sun Sep 6 01:00:44 2026 compacted LP dataset has 579524996 relations and 422729634 large ideals
  50. Sun Sep 6 01:00:44 2026 reading all ideals from disk
  51. Sun Sep 6 01:01:04 2026 memory use: 29863.6 MB
  52. Sun Sep 6 01:01:19 2026 keeping 419744900 ideals with weight <= 200, target excess is 3100622
  53. Sun Sep 6 01:02:52 2026 commencing in-memory singleton removal
  54. Sun Sep 6 01:02:59 2026 begin with 579524996 relations and 419744900 unique ideals
  55. Sun Sep 6 01:03:13 2026 reduce to 579519304 relations and 419739208 ideals in 6 passes
  56. Sun Sep 6 01:03:13 2026 max relations containing the same ideal: 200
  57. Sun Sep 6 01:05:26 2026 removing 12099983 relations and 10099983 ideals in 2000000 cliques
  58. Sun Sep 6 01:05:32 2026 commencing in-memory singleton removal
  59. Sun Sep 6 01:05:40 2026 begin with 567419321 relations and 419739208 unique ideals
  60. Sun Sep 6 01:06:04 2026 reduce to 567232483 relations and 409451451 ideals in 8 passes
  61. Sun Sep 6 01:06:04 2026 max relations containing the same ideal: 200
  62. Sun Sep 6 01:08:33 2026 removing 9296848 relations and 7296848 ideals in 2000000 cliques
  63. Sun Sep 6 01:08:40 2026 commencing in-memory singleton removal
  64. Sun Sep 6 01:08:48 2026 begin with 557935635 relations and 409451451 unique ideals
  65. Sun Sep 6 01:09:07 2026 reduce to 557812000 relations and 402030428 ideals in 6 passes
  66. Sun Sep 6 01:09:07 2026 max relations containing the same ideal: 200
  67. Sun Sep 6 01:11:04 2026 removing 8389265 relations and 6389265 ideals in 2000000 cliques
  68. Sun Sep 6 01:11:10 2026 commencing in-memory singleton removal
  69. Sun Sep 6 01:11:18 2026 begin with 549422735 relations and 402030428 unique ideals
  70. Sun Sep 6 01:11:39 2026 reduce to 549316964 relations and 395534975 ideals in 7 passes
  71. Sun Sep 6 01:11:39 2026 max relations containing the same ideal: 200
  72. Sun Sep 6 01:13:32 2026 removing 7853964 relations and 5853964 ideals in 2000000 cliques
  73. Sun Sep 6 01:13:37 2026 commencing in-memory singleton removal
  74. Sun Sep 6 01:13:44 2026 begin with 541463000 relations and 395534975 unique ideals
  75. Sun Sep 6 01:14:03 2026 reduce to 541367108 relations and 389584729 ideals in 6 passes
  76. Sun Sep 6 01:14:03 2026 max relations containing the same ideal: 199
  77. Sun Sep 6 01:16:15 2026 removing 7492419 relations and 5492419 ideals in 2000000 cliques
  78. Sun Sep 6 01:16:21 2026 commencing in-memory singleton removal
  79. Sun Sep 6 01:16:27 2026 begin with 533874689 relations and 389584729 unique ideals
  80. Sun Sep 6 01:16:40 2026 reduce to 533784257 relations and 384001540 ideals in 6 passes
  81. Sun Sep 6 01:16:41 2026 max relations containing the same ideal: 197
  82. Sun Sep 6 01:18:44 2026 removing 7229062 relations and 5229062 ideals in 2000000 cliques
  83. Sun Sep 6 01:18:50 2026 commencing in-memory singleton removal
  84. Sun Sep 6 01:18:55 2026 begin with 526555195 relations and 384001540 unique ideals
  85. Sun Sep 6 01:19:08 2026 reduce to 526469319 relations and 378686243 ideals in 6 passes
  86. Sun Sep 6 01:19:08 2026 max relations containing the same ideal: 196
  87. Sun Sep 6 01:21:08 2026 removing 7019948 relations and 5019948 ideals in 2000000 cliques
  88. Sun Sep 6 01:21:14 2026 commencing in-memory singleton removal
  89. Sun Sep 6 01:21:19 2026 begin with 519449371 relations and 378686243 unique ideals
  90. Sun Sep 6 01:21:32 2026 reduce to 519366789 relations and 373583384 ideals in 6 passes
  91. Sun Sep 6 01:21:32 2026 max relations containing the same ideal: 196
  92. Sun Sep 6 01:23:27 2026 removing 6858672 relations and 4858672 ideals in 2000000 cliques
  93. Sun Sep 6 01:23:32 2026 commencing in-memory singleton removal
  94. Sun Sep 6 01:23:38 2026 begin with 512508117 relations and 373583384 unique ideals
  95. Sun Sep 6 01:23:51 2026 reduce to 512428746 relations and 368645003 ideals in 6 passes
  96. Sun Sep 6 01:23:51 2026 max relations containing the same ideal: 195
  97. Sun Sep 6 01:26:02 2026 removing 6726155 relations and 4726155 ideals in 2000000 cliques
  98. Sun Sep 6 01:26:08 2026 commencing in-memory singleton removal
  99. Sun Sep 6 01:26:14 2026 begin with 505702591 relations and 368645003 unique ideals
  100. Sun Sep 6 01:26:30 2026 reduce to 505625504 relations and 363841440 ideals in 6 passes
  101. Sun Sep 6 01:26:30 2026 max relations containing the same ideal: 195
  102. Sun Sep 6 01:28:43 2026 removing 6611781 relations and 4611781 ideals in 2000000 cliques
  103. Sun Sep 6 01:28:49 2026 commencing in-memory singleton removal
  104. Sun Sep 6 01:28:55 2026 begin with 499013723 relations and 363841440 unique ideals
  105. Sun Sep 6 01:29:10 2026 reduce to 498938194 relations and 359153775 ideals in 5 passes
  106. Sun Sep 6 01:29:10 2026 max relations containing the same ideal: 195
  107. Sun Sep 6 01:31:23 2026 removing 6517892 relations and 4517892 ideals in 2000000 cliques
  108. Sun Sep 6 01:31:28 2026 commencing in-memory singleton removal
  109. Sun Sep 6 01:31:35 2026 begin with 492420302 relations and 359153775 unique ideals
  110. Sun Sep 6 01:31:52 2026 reduce to 492345388 relations and 354560596 ideals in 6 passes
  111. Sun Sep 6 01:31:52 2026 max relations containing the same ideal: 191
  112. Sun Sep 6 01:33:57 2026 removing 6431516 relations and 4431516 ideals in 2000000 cliques
  113. Sun Sep 6 01:34:03 2026 commencing in-memory singleton removal
  114. Sun Sep 6 01:34:09 2026 begin with 485913872 relations and 354560596 unique ideals
  115. Sun Sep 6 01:34:26 2026 reduce to 485839831 relations and 350054662 ideals in 6 passes
  116. Sun Sep 6 01:34:26 2026 max relations containing the same ideal: 190
  117. Sun Sep 6 01:36:24 2026 removing 6361985 relations and 4361985 ideals in 2000000 cliques
  118. Sun Sep 6 01:36:29 2026 commencing in-memory singleton removal
  119. Sun Sep 6 01:36:35 2026 begin with 479477846 relations and 350054662 unique ideals
  120. Sun Sep 6 01:36:50 2026 reduce to 479404814 relations and 345619267 ideals in 5 passes
  121. Sun Sep 6 01:36:50 2026 max relations containing the same ideal: 188
  122. Sun Sep 6 01:38:56 2026 removing 6299524 relations and 4299524 ideals in 2000000 cliques
  123. Sun Sep 6 01:39:02 2026 commencing in-memory singleton removal
  124. Sun Sep 6 01:39:08 2026 begin with 473105290 relations and 345619267 unique ideals
  125. Sun Sep 6 01:39:22 2026 reduce to 473033439 relations and 341247521 ideals in 5 passes
  126. Sun Sep 6 01:39:22 2026 max relations containing the same ideal: 186
  127. Sun Sep 6 01:41:27 2026 removing 6240867 relations and 4240867 ideals in 2000000 cliques
  128. Sun Sep 6 01:41:33 2026 commencing in-memory singleton removal
  129. Sun Sep 6 01:41:38 2026 begin with 466792572 relations and 341247521 unique ideals
  130. Sun Sep 6 01:41:55 2026 reduce to 466720554 relations and 336934271 ideals in 6 passes
  131. Sun Sep 6 01:41:55 2026 max relations containing the same ideal: 185
  132. Sun Sep 6 01:43:58 2026 removing 6188979 relations and 4188979 ideals in 2000000 cliques
  133. Sun Sep 6 01:44:04 2026 commencing in-memory singleton removal
  134. Sun Sep 6 01:44:10 2026 begin with 460531575 relations and 336934271 unique ideals
  135. Sun Sep 6 01:44:25 2026 reduce to 460460096 relations and 332673406 ideals in 6 passes
  136. Sun Sep 6 01:44:25 2026 max relations containing the same ideal: 184
  137. Sun Sep 6 01:46:20 2026 removing 6143288 relations and 4143288 ideals in 2000000 cliques
  138. Sun Sep 6 01:46:25 2026 commencing in-memory singleton removal
  139. Sun Sep 6 01:46:31 2026 begin with 454316808 relations and 332673406 unique ideals
  140. Sun Sep 6 01:46:46 2026 reduce to 454245797 relations and 328458682 ideals in 6 passes
  141. Sun Sep 6 01:46:46 2026 max relations containing the same ideal: 183
  142. Sun Sep 6 01:48:21 2026 removing 6103405 relations and 4103405 ideals in 2000000 cliques
  143. Sun Sep 6 01:48:25 2026 commencing in-memory singleton removal
  144. Sun Sep 6 01:48:31 2026 begin with 448142392 relations and 328458682 unique ideals
  145. Sun Sep 6 01:48:44 2026 reduce to 448071119 relations and 324283545 ideals in 5 passes
  146. Sun Sep 6 01:48:44 2026 max relations containing the same ideal: 181
  147. Sun Sep 6 01:50:42 2026 removing 6063320 relations and 4063320 ideals in 2000000 cliques
  148. Sun Sep 6 01:50:47 2026 commencing in-memory singleton removal
  149. Sun Sep 6 01:50:53 2026 begin with 442007799 relations and 324283545 unique ideals
  150. Sun Sep 6 01:51:08 2026 reduce to 441936751 relations and 320148776 ideals in 6 passes
  151. Sun Sep 6 01:51:08 2026 max relations containing the same ideal: 181
  152. Sun Sep 6 01:52:40 2026 removing 6030877 relations and 4030877 ideals in 2000000 cliques
  153. Sun Sep 6 01:52:44 2026 commencing in-memory singleton removal
  154. Sun Sep 6 01:52:49 2026 begin with 435905874 relations and 320148776 unique ideals
  155. Sun Sep 6 01:53:03 2026 reduce to 435834220 relations and 316045773 ideals in 5 passes
  156. Sun Sep 6 01:53:03 2026 max relations containing the same ideal: 179
  157. Sun Sep 6 01:54:33 2026 removing 6000107 relations and 4000107 ideals in 2000000 cliques
  158. Sun Sep 6 01:54:38 2026 commencing in-memory singleton removal
  159. Sun Sep 6 01:54:43 2026 begin with 429834113 relations and 316045773 unique ideals
  160. Sun Sep 6 01:54:58 2026 reduce to 429762230 relations and 311973320 ideals in 6 passes
  161. Sun Sep 6 01:54:58 2026 max relations containing the same ideal: 177
  162. Sun Sep 6 01:56:49 2026 removing 5973500 relations and 3973500 ideals in 2000000 cliques
  163. Sun Sep 6 01:56:54 2026 commencing in-memory singleton removal
  164. Sun Sep 6 01:56:59 2026 begin with 423788730 relations and 311973320 unique ideals
  165. Sun Sep 6 01:57:12 2026 reduce to 423717590 relations and 307928209 ideals in 5 passes
  166. Sun Sep 6 01:57:12 2026 max relations containing the same ideal: 177
  167. Sun Sep 6 01:59:03 2026 removing 5947179 relations and 3947179 ideals in 2000000 cliques
  168. Sun Sep 6 01:59:08 2026 commencing in-memory singleton removal
  169. Sun Sep 6 01:59:13 2026 begin with 417770411 relations and 307928209 unique ideals
  170. Sun Sep 6 01:59:26 2026 reduce to 417697891 relations and 303908018 ideals in 5 passes
  171. Sun Sep 6 01:59:26 2026 max relations containing the same ideal: 174
  172. Sun Sep 6 02:00:54 2026 removing 5924309 relations and 3924309 ideals in 2000000 cliques
  173. Sun Sep 6 02:00:58 2026 commencing in-memory singleton removal
  174. Sun Sep 6 02:01:03 2026 begin with 411773582 relations and 303908018 unique ideals
  175. Sun Sep 6 02:01:17 2026 reduce to 411700441 relations and 299910051 ideals in 6 passes
  176. Sun Sep 6 02:01:17 2026 max relations containing the same ideal: 174
  177. Sun Sep 6 02:03:05 2026 removing 5901980 relations and 3901980 ideals in 2000000 cliques
  178. Sun Sep 6 02:03:09 2026 commencing in-memory singleton removal
  179. Sun Sep 6 02:03:15 2026 begin with 405798461 relations and 299910051 unique ideals
  180. Sun Sep 6 02:03:28 2026 reduce to 405725214 relations and 295934278 ideals in 6 passes
  181. Sun Sep 6 02:03:28 2026 max relations containing the same ideal: 174
  182. Sun Sep 6 02:04:54 2026 removing 5883089 relations and 3883089 ideals in 2000000 cliques
  183. Sun Sep 6 02:04:58 2026 commencing in-memory singleton removal
  184. Sun Sep 6 02:05:03 2026 begin with 399842125 relations and 295934278 unique ideals
  185. Sun Sep 6 02:05:17 2026 reduce to 399768188 relations and 291976728 ideals in 6 passes
  186. Sun Sep 6 02:05:17 2026 max relations containing the same ideal: 171
  187. Sun Sep 6 02:07:02 2026 removing 5863107 relations and 3863107 ideals in 2000000 cliques
  188. Sun Sep 6 02:07:06 2026 commencing in-memory singleton removal
  189. Sun Sep 6 02:07:11 2026 begin with 393905081 relations and 291976728 unique ideals
  190. Sun Sep 6 02:07:24 2026 reduce to 393830671 relations and 288038680 ideals in 6 passes
  191. Sun Sep 6 02:07:24 2026 max relations containing the same ideal: 170
  192. Sun Sep 6 02:09:05 2026 removing 5845712 relations and 3845712 ideals in 2000000 cliques
  193. Sun Sep 6 02:09:10 2026 commencing in-memory singleton removal
  194. Sun Sep 6 02:09:15 2026 begin with 387984959 relations and 288038680 unique ideals
  195. Sun Sep 6 02:09:26 2026 reduce to 387910033 relations and 284117457 ideals in 5 passes
  196. Sun Sep 6 02:09:26 2026 max relations containing the same ideal: 170
  197. Sun Sep 6 02:10:56 2026 removing 5833379 relations and 3833379 ideals in 2000000 cliques
  198. Sun Sep 6 02:11:00 2026 commencing in-memory singleton removal
  199. Sun Sep 6 02:11:05 2026 begin with 382076654 relations and 284117457 unique ideals
  200. Sun Sep 6 02:11:18 2026 reduce to 382001138 relations and 280207928 ideals in 6 passes
  201. Sun Sep 6 02:11:18 2026 max relations containing the same ideal: 170
  202. Sun Sep 6 02:12:39 2026 removing 5820681 relations and 3820681 ideals in 2000000 cliques
  203. Sun Sep 6 02:12:43 2026 commencing in-memory singleton removal
  204. Sun Sep 6 02:12:48 2026 begin with 376180457 relations and 280207928 unique ideals
  205. Sun Sep 6 02:12:59 2026 reduce to 376104294 relations and 276310418 ideals in 5 passes
  206. Sun Sep 6 02:12:59 2026 max relations containing the same ideal: 168
  207. Sun Sep 6 02:14:19 2026 removing 5804767 relations and 3804767 ideals in 2000000 cliques
  208. Sun Sep 6 02:14:23 2026 commencing in-memory singleton removal
  209. Sun Sep 6 02:14:28 2026 begin with 370299527 relations and 276310418 unique ideals
  210. Sun Sep 6 02:14:41 2026 reduce to 370222564 relations and 272428033 ideals in 6 passes
  211. Sun Sep 6 02:14:41 2026 max relations containing the same ideal: 165
  212. Sun Sep 6 02:16:03 2026 removing 5793547 relations and 3793547 ideals in 2000000 cliques
  213. Sun Sep 6 02:16:07 2026 commencing in-memory singleton removal
  214. Sun Sep 6 02:16:12 2026 begin with 364429017 relations and 272428033 unique ideals
  215. Sun Sep 6 02:16:24 2026 reduce to 364351046 relations and 268555858 ideals in 6 passes
  216. Sun Sep 6 02:16:24 2026 max relations containing the same ideal: 161
  217. Sun Sep 6 02:17:42 2026 removing 5783805 relations and 3783805 ideals in 2000000 cliques
  218. Sun Sep 6 02:17:46 2026 commencing in-memory singleton removal
  219. Sun Sep 6 02:17:51 2026 begin with 358567241 relations and 268555858 unique ideals
  220. Sun Sep 6 02:18:01 2026 reduce to 358488664 relations and 264692752 ideals in 5 passes
  221. Sun Sep 6 02:18:01 2026 max relations containing the same ideal: 158
  222. Sun Sep 6 02:19:18 2026 removing 5774550 relations and 3774550 ideals in 2000000 cliques
  223. Sun Sep 6 02:19:21 2026 commencing in-memory singleton removal
  224. Sun Sep 6 02:19:26 2026 begin with 352714114 relations and 264692752 unique ideals
  225. Sun Sep 6 02:19:38 2026 reduce to 352633808 relations and 260837137 ideals in 6 passes
  226. Sun Sep 6 02:19:38 2026 max relations containing the same ideal: 158
  227. Sun Sep 6 02:21:11 2026 removing 5767909 relations and 3767909 ideals in 2000000 cliques
  228. Sun Sep 6 02:21:15 2026 commencing in-memory singleton removal
  229. Sun Sep 6 02:21:19 2026 begin with 346865899 relations and 260837137 unique ideals
  230. Sun Sep 6 02:21:29 2026 reduce to 346784811 relations and 256987413 ideals in 5 passes
  231. Sun Sep 6 02:21:29 2026 max relations containing the same ideal: 156
  232. Sun Sep 6 02:23:00 2026 removing 5759376 relations and 3759376 ideals in 2000000 cliques
  233. Sun Sep 6 02:23:04 2026 commencing in-memory singleton removal
  234. Sun Sep 6 02:23:08 2026 begin with 341025435 relations and 256987413 unique ideals
  235. Sun Sep 6 02:23:17 2026 reduce to 340943055 relations and 253144886 ideals in 5 passes
  236. Sun Sep 6 02:23:17 2026 max relations containing the same ideal: 154
  237. Sun Sep 6 02:24:47 2026 removing 5757691 relations and 3757691 ideals in 2000000 cliques
  238. Sun Sep 6 02:24:51 2026 commencing in-memory singleton removal
  239. Sun Sep 6 02:24:55 2026 begin with 335185364 relations and 253144886 unique ideals
  240. Sun Sep 6 02:25:05 2026 reduce to 335102714 relations and 249303790 ideals in 5 passes
  241. Sun Sep 6 02:25:05 2026 max relations containing the same ideal: 151
  242. Sun Sep 6 02:26:21 2026 removing 5751606 relations and 3751606 ideals in 2000000 cliques
  243. Sun Sep 6 02:26:24 2026 commencing in-memory singleton removal
  244. Sun Sep 6 02:26:28 2026 begin with 329351108 relations and 249303790 unique ideals
  245. Sun Sep 6 02:26:38 2026 reduce to 329267775 relations and 245468048 ideals in 5 passes
  246. Sun Sep 6 02:26:38 2026 max relations containing the same ideal: 149
  247. Sun Sep 6 02:27:51 2026 removing 5747524 relations and 3747524 ideals in 2000000 cliques
  248. Sun Sep 6 02:27:54 2026 commencing in-memory singleton removal
  249. Sun Sep 6 02:27:58 2026 begin with 323520251 relations and 245468048 unique ideals
  250. Sun Sep 6 02:28:09 2026 reduce to 323435424 relations and 241634858 ideals in 6 passes
  251. Sun Sep 6 02:28:09 2026 max relations containing the same ideal: 148
  252. Sun Sep 6 02:29:20 2026 removing 5744998 relations and 3744998 ideals in 2000000 cliques
  253. Sun Sep 6 02:29:23 2026 commencing in-memory singleton removal
  254. Sun Sep 6 02:29:27 2026 begin with 317690426 relations and 241634858 unique ideals
  255. Sun Sep 6 02:29:38 2026 reduce to 317603552 relations and 237802113 ideals in 6 passes
  256. Sun Sep 6 02:29:38 2026 max relations containing the same ideal: 146
  257. Sun Sep 6 02:30:47 2026 removing 5743262 relations and 3743262 ideals in 2000000 cliques
  258. Sun Sep 6 02:30:50 2026 commencing in-memory singleton removal
  259. Sun Sep 6 02:30:54 2026 begin with 311860290 relations and 237802113 unique ideals
  260. Sun Sep 6 02:31:03 2026 reduce to 311773058 relations and 233970686 ideals in 5 passes
  261. Sun Sep 6 02:31:03 2026 max relations containing the same ideal: 144
  262. Sun Sep 6 02:32:27 2026 removing 5742137 relations and 3742137 ideals in 2000000 cliques
  263. Sun Sep 6 02:32:30 2026 commencing in-memory singleton removal
  264. Sun Sep 6 02:32:34 2026 begin with 306030921 relations and 233970686 unique ideals
  265. Sun Sep 6 02:32:46 2026 reduce to 305941801 relations and 230138555 ideals in 7 passes
  266. Sun Sep 6 02:32:46 2026 max relations containing the same ideal: 141
  267. Sun Sep 6 02:34:08 2026 removing 5743085 relations and 3743085 ideals in 2000000 cliques
  268. Sun Sep 6 02:34:11 2026 commencing in-memory singleton removal
  269. Sun Sep 6 02:34:15 2026 begin with 300198716 relations and 230138555 unique ideals
  270. Sun Sep 6 02:34:24 2026 reduce to 300108053 relations and 226303812 ideals in 5 passes
  271. Sun Sep 6 02:34:24 2026 max relations containing the same ideal: 141
  272. Sun Sep 6 02:35:45 2026 removing 5743290 relations and 3743290 ideals in 2000000 cliques
  273. Sun Sep 6 02:35:48 2026 commencing in-memory singleton removal
  274. Sun Sep 6 02:35:52 2026 begin with 294364763 relations and 226303812 unique ideals
  275. Sun Sep 6 02:36:00 2026 reduce to 294272719 relations and 222467477 ideals in 5 passes
  276. Sun Sep 6 02:36:00 2026 max relations containing the same ideal: 138
  277. Sun Sep 6 02:37:06 2026 removing 5746683 relations and 3746683 ideals in 2000000 cliques
  278. Sun Sep 6 02:37:09 2026 commencing in-memory singleton removal
  279. Sun Sep 6 02:37:13 2026 begin with 288526036 relations and 222467477 unique ideals
  280. Sun Sep 6 02:37:21 2026 reduce to 288432134 relations and 218625863 ideals in 5 passes
  281. Sun Sep 6 02:37:21 2026 max relations containing the same ideal: 136
  282. Sun Sep 6 02:38:25 2026 removing 5747587 relations and 3747587 ideals in 2000000 cliques
  283. Sun Sep 6 02:38:28 2026 commencing in-memory singleton removal
  284. Sun Sep 6 02:38:31 2026 begin with 282684547 relations and 218625863 unique ideals
  285. Sun Sep 6 02:38:39 2026 reduce to 282589090 relations and 214781737 ideals in 5 passes
  286. Sun Sep 6 02:38:39 2026 max relations containing the same ideal: 135
  287. Sun Sep 6 02:39:41 2026 removing 5753085 relations and 3753085 ideals in 2000000 cliques
  288. Sun Sep 6 02:39:44 2026 commencing in-memory singleton removal
  289. Sun Sep 6 02:39:47 2026 begin with 276836005 relations and 214781737 unique ideals
  290. Sun Sep 6 02:39:55 2026 reduce to 276739122 relations and 210930679 ideals in 5 passes
  291. Sun Sep 6 02:39:55 2026 max relations containing the same ideal: 135
  292. Sun Sep 6 02:40:56 2026 removing 5755904 relations and 3755904 ideals in 2000000 cliques
  293. Sun Sep 6 02:40:59 2026 commencing in-memory singleton removal
  294. Sun Sep 6 02:41:02 2026 begin with 270983218 relations and 210930679 unique ideals
  295. Sun Sep 6 02:41:11 2026 reduce to 270884178 relations and 207074589 ideals in 6 passes
  296. Sun Sep 6 02:41:11 2026 max relations containing the same ideal: 134
  297. Sun Sep 6 02:42:11 2026 removing 5763670 relations and 3763670 ideals in 2000000 cliques
  298. Sun Sep 6 02:42:13 2026 commencing in-memory singleton removal
  299. Sun Sep 6 02:42:17 2026 begin with 265120508 relations and 207074589 unique ideals
  300. Sun Sep 6 02:42:25 2026 reduce to 265019156 relations and 203208371 ideals in 6 passes
  301. Sun Sep 6 02:42:25 2026 max relations containing the same ideal: 132
  302. Sun Sep 6 02:43:24 2026 removing 5767299 relations and 3767299 ideals in 2000000 cliques
  303. Sun Sep 6 02:43:26 2026 commencing in-memory singleton removal
  304. Sun Sep 6 02:43:29 2026 begin with 259251857 relations and 203208371 unique ideals
  305. Sun Sep 6 02:43:38 2026 reduce to 259150217 relations and 199338224 ideals in 6 passes
  306. Sun Sep 6 02:43:38 2026 max relations containing the same ideal: 131
  307. Sun Sep 6 02:44:49 2026 removing 5777912 relations and 3777912 ideals in 2000000 cliques
  308. Sun Sep 6 02:44:52 2026 commencing in-memory singleton removal
  309. Sun Sep 6 02:44:55 2026 begin with 253372305 relations and 199338224 unique ideals
  310. Sun Sep 6 02:45:02 2026 reduce to 253267762 relations and 195454544 ideals in 5 passes
  311. Sun Sep 6 02:45:02 2026 max relations containing the same ideal: 128
  312. Sun Sep 6 02:46:09 2026 removing 5784749 relations and 3784749 ideals in 2000000 cliques
  313. Sun Sep 6 02:46:11 2026 commencing in-memory singleton removal
  314. Sun Sep 6 02:46:15 2026 begin with 247483013 relations and 195454544 unique ideals
  315. Sun Sep 6 02:46:23 2026 reduce to 247376242 relations and 191561679 ideals in 6 passes
  316. Sun Sep 6 02:46:23 2026 max relations containing the same ideal: 126
  317. Sun Sep 6 02:47:28 2026 removing 5793275 relations and 3793275 ideals in 2000000 cliques
  318. Sun Sep 6 02:47:31 2026 commencing in-memory singleton removal
  319. Sun Sep 6 02:47:34 2026 begin with 241582967 relations and 191561679 unique ideals
  320. Sun Sep 6 02:47:40 2026 reduce to 241473859 relations and 187657968 ideals in 5 passes
  321. Sun Sep 6 02:47:40 2026 max relations containing the same ideal: 126
  322. Sun Sep 6 02:48:41 2026 removing 5801334 relations and 3801334 ideals in 2000000 cliques
  323. Sun Sep 6 02:48:44 2026 commencing in-memory singleton removal
  324. Sun Sep 6 02:48:46 2026 begin with 235672525 relations and 187657968 unique ideals
  325. Sun Sep 6 02:48:53 2026 reduce to 235560727 relations and 183743418 ideals in 5 passes
  326. Sun Sep 6 02:48:53 2026 max relations containing the same ideal: 126
  327. Sun Sep 6 02:49:55 2026 removing 5812961 relations and 3812961 ideals in 2000000 cliques
  328. Sun Sep 6 02:49:57 2026 commencing in-memory singleton removal
  329. Sun Sep 6 02:50:00 2026 begin with 229747766 relations and 183743418 unique ideals
  330. Sun Sep 6 02:50:07 2026 reduce to 229633819 relations and 179815089 ideals in 6 passes
  331. Sun Sep 6 02:50:07 2026 max relations containing the same ideal: 121
  332. Sun Sep 6 02:51:01 2026 removing 5828459 relations and 3828459 ideals in 2000000 cliques
  333. Sun Sep 6 02:51:04 2026 commencing in-memory singleton removal
  334. Sun Sep 6 02:51:07 2026 begin with 223805360 relations and 179815089 unique ideals
  335. Sun Sep 6 02:51:14 2026 reduce to 223688974 relations and 175868779 ideals in 6 passes
  336. Sun Sep 6 02:51:14 2026 max relations containing the same ideal: 117
  337. Sun Sep 6 02:52:05 2026 removing 5838861 relations and 3838861 ideals in 2000000 cliques
  338. Sun Sep 6 02:52:08 2026 commencing in-memory singleton removal
  339. Sun Sep 6 02:52:10 2026 begin with 217850113 relations and 175868779 unique ideals
  340. Sun Sep 6 02:52:17 2026 reduce to 217730381 relations and 171908652 ideals in 5 passes
  341. Sun Sep 6 02:52:17 2026 max relations containing the same ideal: 115
  342. Sun Sep 6 02:53:19 2026 removing 5857339 relations and 3857339 ideals in 2000000 cliques
  343. Sun Sep 6 02:53:22 2026 commencing in-memory singleton removal
  344. Sun Sep 6 02:53:24 2026 begin with 211873042 relations and 171908652 unique ideals
  345. Sun Sep 6 02:53:30 2026 reduce to 211750830 relations and 167927497 ideals in 5 passes
  346. Sun Sep 6 02:53:30 2026 max relations containing the same ideal: 113
  347. Sun Sep 6 02:54:28 2026 removing 5871419 relations and 3871419 ideals in 2000000 cliques
  348. Sun Sep 6 02:54:30 2026 commencing in-memory singleton removal
  349. Sun Sep 6 02:54:33 2026 begin with 205879411 relations and 167927497 unique ideals
  350. Sun Sep 6 02:54:40 2026 reduce to 205753988 relations and 163928951 ideals in 6 passes
  351. Sun Sep 6 02:54:40 2026 max relations containing the same ideal: 112
  352. Sun Sep 6 02:55:37 2026 removing 5890384 relations and 3890384 ideals in 2000000 cliques
  353. Sun Sep 6 02:55:40 2026 commencing in-memory singleton removal
  354. Sun Sep 6 02:55:42 2026 begin with 199863604 relations and 163928951 unique ideals
  355. Sun Sep 6 02:55:49 2026 reduce to 199735007 relations and 159908292 ideals in 6 passes
  356. Sun Sep 6 02:55:49 2026 max relations containing the same ideal: 112
  357. Sun Sep 6 02:56:43 2026 removing 5904512 relations and 3904512 ideals in 2000000 cliques
  358. Sun Sep 6 02:56:46 2026 commencing in-memory singleton removal
  359. Sun Sep 6 02:56:48 2026 begin with 193830495 relations and 159908292 unique ideals
  360. Sun Sep 6 02:56:54 2026 reduce to 193698397 relations and 155869964 ideals in 6 passes
  361. Sun Sep 6 02:56:54 2026 max relations containing the same ideal: 109
  362. Sun Sep 6 02:57:42 2026 removing 5924141 relations and 3924141 ideals in 2000000 cliques
  363. Sun Sep 6 02:57:45 2026 commencing in-memory singleton removal
  364. Sun Sep 6 02:57:47 2026 begin with 187774256 relations and 155869964 unique ideals
  365. Sun Sep 6 02:57:53 2026 reduce to 187638314 relations and 151808040 ideals in 5 passes
  366. Sun Sep 6 02:57:53 2026 max relations containing the same ideal: 106
  367. Sun Sep 6 02:58:45 2026 removing 5946880 relations and 3946880 ideals in 2000000 cliques
  368. Sun Sep 6 02:58:47 2026 commencing in-memory singleton removal
  369. Sun Sep 6 02:58:49 2026 begin with 181691434 relations and 151808040 unique ideals
  370. Sun Sep 6 02:58:55 2026 reduce to 181551832 relations and 147719650 ideals in 6 passes
  371. Sun Sep 6 02:58:55 2026 max relations containing the same ideal: 102
  372. Sun Sep 6 02:59:46 2026 removing 5967350 relations and 3967350 ideals in 2000000 cliques
  373. Sun Sep 6 02:59:48 2026 commencing in-memory singleton removal
  374. Sun Sep 6 02:59:50 2026 begin with 175584482 relations and 147719650 unique ideals
  375. Sun Sep 6 02:59:56 2026 reduce to 175440147 relations and 143605988 ideals in 6 passes
  376. Sun Sep 6 02:59:56 2026 max relations containing the same ideal: 102
  377. Sun Sep 6 03:00:44 2026 removing 5990605 relations and 3990605 ideals in 2000000 cliques
  378. Sun Sep 6 03:00:46 2026 commencing in-memory singleton removal
  379. Sun Sep 6 03:00:48 2026 begin with 169449542 relations and 143605988 unique ideals
  380. Sun Sep 6 03:00:53 2026 reduce to 169300774 relations and 139464506 ideals in 6 passes
  381. Sun Sep 6 03:00:53 2026 max relations containing the same ideal: 98
  382. Sun Sep 6 03:01:41 2026 removing 6015344 relations and 4015344 ideals in 2000000 cliques
  383. Sun Sep 6 03:01:43 2026 commencing in-memory singleton removal
  384. Sun Sep 6 03:01:45 2026 begin with 163285430 relations and 139464506 unique ideals
  385. Sun Sep 6 03:01:50 2026 reduce to 163132333 relations and 135293839 ideals in 6 passes
  386. Sun Sep 6 03:01:50 2026 max relations containing the same ideal: 96
  387. Sun Sep 6 03:02:34 2026 removing 6043531 relations and 4043531 ideals in 2000000 cliques
  388. Sun Sep 6 03:02:36 2026 commencing in-memory singleton removal
  389. Sun Sep 6 03:02:38 2026 begin with 157088802 relations and 135293839 unique ideals
  390. Sun Sep 6 03:02:43 2026 reduce to 156929558 relations and 131088786 ideals in 6 passes
  391. Sun Sep 6 03:02:43 2026 max relations containing the same ideal: 92
  392. Sun Sep 6 03:03:22 2026 removing 6069932 relations and 4069932 ideals in 2000000 cliques
  393. Sun Sep 6 03:03:24 2026 commencing in-memory singleton removal
  394. Sun Sep 6 03:03:25 2026 begin with 150859626 relations and 131088786 unique ideals
  395. Sun Sep 6 03:03:30 2026 reduce to 150695239 relations and 126852151 ideals in 6 passes
  396. Sun Sep 6 03:03:30 2026 max relations containing the same ideal: 88
  397. Sun Sep 6 03:04:14 2026 removing 6099451 relations and 4099451 ideals in 2000000 cliques
  398. Sun Sep 6 03:04:15 2026 commencing in-memory singleton removal
  399. Sun Sep 6 03:04:17 2026 begin with 144595788 relations and 126852151 unique ideals
  400. Sun Sep 6 03:04:22 2026 reduce to 144424745 relations and 122579129 ideals in 6 passes
  401. Sun Sep 6 03:04:22 2026 max relations containing the same ideal: 85
  402. Sun Sep 6 03:04:57 2026 removing 6128695 relations and 4128695 ideals in 2000000 cliques
  403. Sun Sep 6 03:04:58 2026 commencing in-memory singleton removal
  404. Sun Sep 6 03:05:00 2026 begin with 138296050 relations and 122579129 unique ideals
  405. Sun Sep 6 03:05:05 2026 reduce to 138118581 relations and 118270369 ideals in 6 passes
  406. Sun Sep 6 03:05:05 2026 max relations containing the same ideal: 83
  407. Sun Sep 6 03:05:45 2026 removing 6164177 relations and 4164177 ideals in 2000000 cliques
  408. Sun Sep 6 03:05:46 2026 commencing in-memory singleton removal
  409. Sun Sep 6 03:05:48 2026 begin with 131954404 relations and 118270369 unique ideals
  410. Sun Sep 6 03:05:52 2026 reduce to 131768185 relations and 113917145 ideals in 6 passes
  411. Sun Sep 6 03:05:52 2026 max relations containing the same ideal: 82
  412. Sun Sep 6 03:06:27 2026 removing 6200039 relations and 4200039 ideals in 2000000 cliques
  413. Sun Sep 6 03:06:29 2026 commencing in-memory singleton removal
  414. Sun Sep 6 03:06:30 2026 begin with 125568146 relations and 113917145 unique ideals
  415. Sun Sep 6 03:06:35 2026 reduce to 125373739 relations and 109519729 ideals in 7 passes
  416. Sun Sep 6 03:06:35 2026 max relations containing the same ideal: 78
  417. Sun Sep 6 03:07:05 2026 removing 6238092 relations and 4238092 ideals in 2000000 cliques
  418. Sun Sep 6 03:07:07 2026 commencing in-memory singleton removal
  419. Sun Sep 6 03:07:08 2026 begin with 119135647 relations and 109519729 unique ideals
  420. Sun Sep 6 03:07:12 2026 reduce to 118929383 relations and 105072107 ideals in 6 passes
  421. Sun Sep 6 03:07:12 2026 max relations containing the same ideal: 76
  422. Sun Sep 6 03:07:44 2026 removing 6281134 relations and 4281134 ideals in 2000000 cliques
  423. Sun Sep 6 03:07:45 2026 commencing in-memory singleton removal
  424. Sun Sep 6 03:07:47 2026 begin with 112648249 relations and 105072107 unique ideals
  425. Sun Sep 6 03:07:51 2026 reduce to 112428625 relations and 100567802 ideals in 7 passes
  426. Sun Sep 6 03:07:51 2026 max relations containing the same ideal: 74
  427. Sun Sep 6 03:08:25 2026 removing 6328542 relations and 4328542 ideals in 2000000 cliques
  428. Sun Sep 6 03:08:27 2026 commencing in-memory singleton removal
  429. Sun Sep 6 03:08:28 2026 begin with 106100083 relations and 100567802 unique ideals
  430. Sun Sep 6 03:08:31 2026 reduce to 105864920 relations and 96000198 ideals in 7 passes
  431. Sun Sep 6 03:08:31 2026 max relations containing the same ideal: 72
  432. Sun Sep 6 03:09:00 2026 removing 6383016 relations and 4383016 ideals in 2000000 cliques
  433. Sun Sep 6 03:09:01 2026 commencing in-memory singleton removal
  434. Sun Sep 6 03:09:02 2026 begin with 99481904 relations and 96000198 unique ideals
  435. Sun Sep 6 03:09:05 2026 reduce to 99226998 relations and 91357941 ideals in 7 passes
  436. Sun Sep 6 03:09:05 2026 max relations containing the same ideal: 71
  437. Sun Sep 6 03:09:32 2026 removing 6448731 relations and 4448731 ideals in 2000000 cliques
  438. Sun Sep 6 03:09:33 2026 commencing in-memory singleton removal
  439. Sun Sep 6 03:09:34 2026 begin with 92778267 relations and 91357941 unique ideals
  440. Sun Sep 6 03:09:37 2026 reduce to 92498058 relations and 86623921 ideals in 6 passes
  441. Sun Sep 6 03:09:37 2026 max relations containing the same ideal: 69
  442. Sun Sep 6 03:10:01 2026 removing 6526550 relations and 4526550 ideals in 2000000 cliques
  443. Sun Sep 6 03:10:03 2026 commencing in-memory singleton removal
  444. Sun Sep 6 03:10:04 2026 begin with 85971508 relations and 86623921 unique ideals
  445. Sun Sep 6 03:10:07 2026 reduce to 85660756 relations and 81780641 ideals in 7 passes
  446. Sun Sep 6 03:10:07 2026 max relations containing the same ideal: 65
  447. Sun Sep 6 03:10:30 2026 removing 1258794 relations and 975401 ideals in 283393 cliques
  448. Sun Sep 6 03:10:31 2026 commencing in-memory singleton removal
  449. Sun Sep 6 03:10:32 2026 begin with 84401962 relations and 81780641 unique ideals
  450. Sun Sep 6 03:10:35 2026 reduce to 84389973 relations and 80793204 ideals in 6 passes
  451. Sun Sep 6 03:10:35 2026 max relations containing the same ideal: 63
  452. Sun Sep 6 03:10:36 2026 relations with 0 large ideals: 235499
  453. Sun Sep 6 03:10:36 2026 relations with 1 large ideals: 96570
  454. Sun Sep 6 03:10:36 2026 relations with 2 large ideals: 997014
  455. Sun Sep 6 03:10:36 2026 relations with 3 large ideals: 5032377
  456. Sun Sep 6 03:10:36 2026 relations with 4 large ideals: 13477650
  457. Sun Sep 6 03:10:36 2026 relations with 5 large ideals: 21330610
  458. Sun Sep 6 03:10:36 2026 relations with 6 large ideals: 21100142
  459. Sun Sep 6 03:10:36 2026 relations with 7+ large ideals: 22120111
  460. Sun Sep 6 03:10:36 2026 commencing 2-way merge
  461. Sun Sep 6 03:11:06 2026 reduce to 56739181 relation sets and 53142412 unique ideals
  462. Sun Sep 6 03:11:06 2026 commencing full merge
  463. Sun Sep 6 03:26:56 2026 memory use: 7252.9 MB
  464. Sun Sep 6 03:26:57 2026 found 27108489 cycles, need 26642612
  465. Sun Sep 6 03:27:03 2026 weight of 26642612 cycles is about 2930916442 (110.01/cycle)
  466. Sun Sep 6 03:27:03 2026 distribution of cycle lengths:
  467. Sun Sep 6 03:27:03 2026 1 relations: 1276454
  468. Sun Sep 6 03:27:03 2026 2 relations: 1661383
  469. Sun Sep 6 03:27:03 2026 3 relations: 1995082
  470. Sun Sep 6 03:27:03 2026 4 relations: 2147004
  471. Sun Sep 6 03:27:03 2026 5 relations: 2246352
  472. Sun Sep 6 03:27:03 2026 6 relations: 2272585
  473. Sun Sep 6 03:27:03 2026 7 relations: 2223643
  474. Sun Sep 6 03:27:03 2026 8 relations: 2109371
  475. Sun Sep 6 03:27:03 2026 9 relations: 1944176
  476. Sun Sep 6 03:27:03 2026 10+ relations: 8766562
  477. Sun Sep 6 03:27:03 2026 heaviest cycle: 26 relations
  478. Sun Sep 6 03:27:07 2026 commencing cycle optimization
  479. Sun Sep 6 03:27:46 2026 start with 208175499 relations
  480. Sun Sep 6 03:34:08 2026 pruned 9066741 relations
  481. Sun Sep 6 03:34:08 2026 memory use: 5908.3 MB
  482. Sun Sep 6 03:34:09 2026 distribution of cycle lengths:
  483. Sun Sep 6 03:34:09 2026 1 relations: 1276454
  484. Sun Sep 6 03:34:09 2026 2 relations: 1701363
  485. Sun Sep 6 03:34:09 2026 3 relations: 2080797
  486. Sun Sep 6 03:34:09 2026 4 relations: 2242322
  487. Sun Sep 6 03:34:09 2026 5 relations: 2371235
  488. Sun Sep 6 03:34:09 2026 6 relations: 2394530
  489. Sun Sep 6 03:34:09 2026 7 relations: 2350907
  490. Sun Sep 6 03:34:09 2026 8 relations: 2216532
  491. Sun Sep 6 03:34:09 2026 9 relations: 2032477
  492. Sun Sep 6 03:34:09 2026 10+ relations: 7975995
  493. Sun Sep 6 03:34:09 2026 heaviest cycle: 25 relations
  494. Sun Sep 6 03:34:19 2026 RelProcTime: 12503
  495. Sun Sep 6 03:34:19 2026 elapsed time 03:28:24
  496. Sun Sep 6 03:34:19 2026
  497. Sun Sep 6 03:34:19 2026
  498. Sun Sep 6 03:34:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
  499. Sun Sep 6 03:34:19 2026 random seeds: ed7d637b 058c6a9e
  500. Sun Sep 6 03:34:19 2026 MPI process 0 of 1
  501. Sun Sep 6 03:34:19 2026 Using 46 OpenMP threads
  502. Sun Sep 6 03:34:19 2026 factoring 9741966900479557832728273263507898230693242838012030143234914927459786559264276731808131857383079029125131940382636264084924259683952418702727090023636174109940643656950216692696423875253858216094522971238051236794175688334317827045228152906603435114337 (253 digits)
  503. Sun Sep 6 03:34:20 2026 no P-1/P+1/ECM available, skipping
  504. Sun Sep 6 03:34:20 2026 commencing number field sieve (253-digit input)
  505. Sun Sep 6 03:34:20 2026 R0: 211587613802425391637729361787678676290060193601
  506. Sun Sep 6 03:34:20 2026 R1: -37711171281396032013366321198900157303750656
  507. Sun Sep 6 03:34:20 2026 A0: 1
  508. Sun Sep 6 03:34:20 2026 A1: -1
  509. Sun Sep 6 03:34:20 2026 A2: 1
  510. Sun Sep 6 03:34:20 2026 A3: -1
  511. Sun Sep 6 03:34:20 2026 A4: 1
  512. Sun Sep 6 03:34:20 2026 A5: -1
  513. Sun Sep 6 03:34:20 2026 A6: 1
  514. Sun Sep 6 03:34:20 2026 skew 1.00, size 5.852e-14, alpha 2.428, combined = 1.321e-14 rroots = 0
  515. Sun Sep 6 03:34:20 2026
  516. Sun Sep 6 03:34:20 2026 commencing linear algebra
  517. Sun Sep 6 03:34:20 2026 using VBITS=128
  518. Sun Sep 6 03:34:20 2026 stopping after matrix build
  519. Sun Sep 6 03:34:20 2026 initialized process (0,0) of 1 x 1 grid
  520. Sun Sep 6 03:34:24 2026 read 26642612 cycles
  521. Sun Sep 6 03:35:22 2026 cycles contain 82942391 unique relations
  522. Sun Sep 6 03:36:47 2026 read 82942391 relations
  523. Sun Sep 6 03:36:53 2026 using 20 quadratic characters above 4294917295
  524. Sun Sep 6 03:37:04 2026 building initial matrix
  525. Sun Sep 6 03:54:02 2026 memory use: 10708.4 MB
  526. Sun Sep 6 03:54:32 2026 read 26642612 cycles
  527. Sun Sep 6 03:54:35 2026 matrix is 26642435 x 26642612 (11651.8 MB) with weight 3303916825 (124.01/col)
  528. Sun Sep 6 03:54:35 2026 sparse part has weight 2761377285 (103.65/col)
  529. Sun Sep 6 04:00:18 2026 filtering completed in 2 passes
  530. Sun Sep 6 04:00:22 2026 matrix is 26641218 x 26641392 (11651.7 MB) with weight 3303877150 (124.01/col)
  531. Sun Sep 6 04:00:22 2026 sparse part has weight 2761361120 (103.65/col)
  532. Sun Sep 6 04:01:31 2026 BLanczosTime: 1631
  533. Sun Sep 6 04:01:31 2026 elapsed time 00:27:12
  534. Sun Sep 6 04:01:32 2026
  535. Sun Sep 6 04:01:32 2026
  536. Sun Sep 6 04:01:32 2026 Msieve v. 1.54 (SVN Unversioned directory)
  537. Sun Sep 6 04:01:32 2026 random seeds: ca7698de a38de8f1
  538. Sun Sep 6 04:01:32 2026 MPI process 0 of 2
  539. Sun Sep 6 04:01:32 2026 Using 6 OpenMP threads
  540. Sun Sep 6 04:01:32 2026 factoring 9741966900479557832728273263507898230693242838012030143234914927459786559264276731808131857383079029125131940382636264084924259683952418702727090023636174109940643656950216692696423875253858216094522971238051236794175688334317827045228152906603435114337 (253 digits)
  541. Sun Sep 6 04:01:33 2026 no P-1/P+1/ECM available, skipping
  542. Sun Sep 6 04:01:33 2026 commencing number field sieve (253-digit input)
  543. Sun Sep 6 04:01:33 2026 R0: 211587613802425391637729361787678676290060193601
  544. Sun Sep 6 04:01:33 2026 R1: -37711171281396032013366321198900157303750656
  545. Sun Sep 6 04:01:33 2026 A0: 1
  546. Sun Sep 6 04:01:33 2026 A1: -1
  547. Sun Sep 6 04:01:33 2026 A2: 1
  548. Sun Sep 6 04:01:33 2026 A3: -1
  549. Sun Sep 6 04:01:33 2026 A4: 1
  550. Sun Sep 6 04:01:33 2026 A5: -1
  551. Sun Sep 6 04:01:33 2026 A6: 1
  552. Sun Sep 6 04:01:33 2026 skew 1.00, size 5.852e-14, alpha 2.428, combined = 1.321e-14 rroots = 0
  553. Sun Sep 6 04:01:33 2026
  554. Sun Sep 6 04:01:33 2026 commencing linear algebra
  555. Sun Sep 6 04:01:33 2026 using VBITS=256
  556. Sun Sep 6 04:01:33 2026 skipping matrix build
  557. Sun Sep 6 04:01:33 2026 initialized process (0,0) of 1 x 2 grid
  558. Sun Sep 6 04:01:41 2026 matrix starts at (0, 0)
  559. Sun Sep 6 04:01:43 2026 matrix is 26641218 x 13320684 (5825.8 MB) with weight 1651950520 (124.01/col)
  560. Sun Sep 6 04:01:43 2026 sparse part has weight 1380680739 (103.65/col)
  561. Sun Sep 6 04:01:43 2026 saving the first 240 matrix rows for later
  562. Sun Sep 6 04:01:46 2026 matrix includes 256 packed rows
  563. Sun Sep 6 04:01:49 2026 matrix is 26640978 x 13320684 (5426.0 MB) with weight 1268667729 (95.24/col)
  564. Sun Sep 6 04:01:49 2026 sparse part has weight 1209250072 (90.78/col)
  565. Sun Sep 6 04:01:49 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  566. Sun Sep 6 04:01:49 2026 selected card has CUDA arch 8.0
  567. Sun Sep 6 04:03:15 2026 commencing Lanczos iteration
  568. Sun Sep 6 04:03:16 2026 memory use: 13849.9 MB
  569. Sun Sep 6 04:03:42 2026 linear algebra at 0.1%, ETA 6h 2m
  570. Sun Sep 6 04:04:21 2026 checking every 70000 dimensions, checkpointing every 4340000 dimensions
  571. Sun Sep 6 11:17:03 2026 lanczos halted after 104378 iterations (dim = 26640977)
  572. Sun Sep 6 11:18:45 2026 recovered 37 nontrivial dependencies
  573. Sun Sep 6 11:18:45 2026 BLanczosTime: 26232
  574. Sun Sep 6 11:18:45 2026 elapsed time 07:17:13
  575. Sun Sep 6 11:18:46 2026
  576. Sun Sep 6 11:18:46 2026
  577. Sun Sep 6 11:18:46 2026 Msieve v. 1.54 (SVN Unversioned directory)
  578. Sun Sep 6 11:18:46 2026 random seeds: a1d2fd1b a66aebe2
  579. Sun Sep 6 11:18:46 2026 MPI process 0 of 1
  580. Sun Sep 6 11:18:46 2026 Using 32 OpenMP threads
  581. Sun Sep 6 11:18:46 2026 factoring 9741966900479557832728273263507898230693242838012030143234914927459786559264276731808131857383079029125131940382636264084924259683952418702727090023636174109940643656950216692696423875253858216094522971238051236794175688334317827045228152906603435114337 (253 digits)
  582. Sun Sep 6 11:18:47 2026 no P-1/P+1/ECM available, skipping
  583. Sun Sep 6 11:18:47 2026 commencing number field sieve (253-digit input)
  584. Sun Sep 6 11:18:47 2026 R0: 211587613802425391637729361787678676290060193601
  585. Sun Sep 6 11:18:47 2026 R1: -37711171281396032013366321198900157303750656
  586. Sun Sep 6 11:18:47 2026 A0: 1
  587. Sun Sep 6 11:18:47 2026 A1: -1
  588. Sun Sep 6 11:18:47 2026 A2: 1
  589. Sun Sep 6 11:18:47 2026 A3: -1
  590. Sun Sep 6 11:18:47 2026 A4: 1
  591. Sun Sep 6 11:18:47 2026 A5: -1
  592. Sun Sep 6 11:18:47 2026 A6: 1
  593. Sun Sep 6 11:18:47 2026 skew 1.00, size 5.852e-14, alpha 2.428, combined = 1.321e-14 rroots = 0
  594. Sun Sep 6 11:18:47 2026
  595. Sun Sep 6 11:18:47 2026 commencing square root phase
  596. Sun Sep 6 11:18:47 2026 reading relations for dependency 1
  597. Sun Sep 6 11:18:51 2026 read 13322915 cycles
  598. Sun Sep 6 11:19:18 2026 cycles contain 41482554 unique relations
  599. Sun Sep 6 11:22:50 2026 read 41482554 relations
  600. Sun Sep 6 11:25:12 2026 multiplying 41482554 relations
  601. Sun Sep 6 11:27:34 2026 multiply complete, coefficients have about 1128.47 million bits
  602. Sun Sep 6 11:27:38 2026 initial square root is modulo 115363
  603. Sun Sep 6 11:34:58 2026 GCD is 1, no factor found
  604. Sun Sep 6 11:34:58 2026 reading relations for dependency 2
  605. Sun Sep 6 11:35:02 2026 read 13323237 cycles
  606. Sun Sep 6 11:35:30 2026 cycles contain 41474424 unique relations
  607. Sun Sep 6 11:37:41 2026 read 41474424 relations
  608. Sun Sep 6 11:40:59 2026 multiplying 41474424 relations
  609. Sun Sep 6 11:43:21 2026 multiply complete, coefficients have about 1128.24 million bits
  610. Sun Sep 6 11:43:26 2026 initial square root is modulo 115099
  611. Sun Sep 6 11:50:58 2026 GCD is 1, no factor found
  612. Sun Sep 6 11:50:58 2026 reading relations for dependency 3
  613. Sun Sep 6 11:51:02 2026 read 13319837 cycles
  614. Sun Sep 6 11:51:28 2026 cycles contain 41475214 unique relations
  615. Sun Sep 6 11:52:42 2026 read 41475214 relations
  616. Sun Sep 6 11:55:51 2026 multiplying 41475214 relations
  617. Sun Sep 6 11:58:14 2026 multiply complete, coefficients have about 1128.27 million bits
  618. Sun Sep 6 11:58:18 2026 initial square root is modulo 115127
  619. Sun Sep 6 12:05:46 2026 GCD is N, no factor found
  620. Sun Sep 6 12:05:46 2026 reading relations for dependency 4
  621. Sun Sep 6 12:05:49 2026 read 13321841 cycles
  622. Sun Sep 6 12:06:18 2026 cycles contain 41477168 unique relations
  623. Sun Sep 6 12:07:34 2026 read 41477168 relations
  624. Sun Sep 6 12:10:15 2026 multiplying 41477168 relations
  625. Sun Sep 6 12:12:39 2026 multiply complete, coefficients have about 1128.32 million bits
  626. Sun Sep 6 12:12:43 2026 initial square root is modulo 115183
  627. Sun Sep 6 12:20:09 2026 sqrtTime: 3682
  628. Sun Sep 6 12:20:09 2026 p123 factor: 151594256536749521922206714596284441468782649409593891179061427098896999011819179122879716857903098108019484837927579177553
  629. Sun Sep 6 12:20:09 2026 p131 factor: 64263430047020993182674289475795367543993107180857837357868726917580127731749353081360900865167129041911895420110684142561972570129
  630. Sun Sep 6 12:20:09 2026 elapsed time 01:01:23
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