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  1. Wed Jan 7 21:24:28 2026
  2. Wed Jan 7 21:24:28 2026
  3. Wed Jan 7 21:24:28 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jan 7 21:24:28 2026 random seeds: 181b2315 8add1611
  5. Wed Jan 7 21:24:28 2026 Using 8 OpenMP threads
  6. Wed Jan 7 21:24:28 2026 factoring 17694305322290732364082132551783038405431048772340881552887984398640491795002417774203169194563177719346140557852240987036815225096098508396917724248962656269129551638199190641695439416437 (188 digits)
  7. Wed Jan 7 21:24:28 2026 searching for 15-digit factors
  8. Wed Jan 7 21:24:28 2026 commencing number field sieve (188-digit input)
  9. Wed Jan 7 21:24:28 2026 R0: -1843247616724367994758794567480339144
  10. Wed Jan 7 21:24:28 2026 R1: 8275558558300199889881
  11. Wed Jan 7 21:24:28 2026 A0: -373681591092094701277454673788849174705335467
  12. Wed Jan 7 21:24:28 2026 A1: -47825678303787354831022961194128035199
  13. Wed Jan 7 21:24:28 2026 A2: 17643695875359695617462697381
  14. Wed Jan 7 21:24:28 2026 A3: -3275477211710145681857
  15. Wed Jan 7 21:24:28 2026 A4: 269141523005142
  16. Wed Jan 7 21:24:28 2026 A5: 831600
  17. Wed Jan 7 21:24:28 2026 skew 1.00, size 2.731e-18, alpha -7.597, combined = 9.344e-17 rroots = 3
  18. Wed Jan 7 21:24:28 2026
  19. Wed Jan 7 21:24:28 2026 commencing relation filtering
  20. Wed Jan 7 21:24:28 2026 estimated available RAM is 78540.1 MB
  21. Wed Jan 7 21:24:28 2026 commencing duplicate removal, pass 1
  22. Wed Jan 7 21:24:58 2026 error -11 reading relation 9606574
  23. Wed Jan 7 21:25:08 2026 error -1 reading relation 13972325
  24. Wed Jan 7 21:25:43 2026 error -1 reading relation 29008628
  25. Wed Jan 7 21:25:43 2026 error -1 reading relation 29376917
  26. Wed Jan 7 21:26:03 2026 error -1 reading relation 38098024
  27. Wed Jan 7 21:26:41 2026 error -1 reading relation 53881352
  28. Wed Jan 7 21:27:30 2026 error -1 reading relation 74739031
  29. Wed Jan 7 21:28:15 2026 error -1 reading relation 94343240
  30. Wed Jan 7 21:28:29 2026 error -1 reading relation 100182527
  31. Wed Jan 7 21:28:36 2026 error -1 reading relation 103514145
  32. Wed Jan 7 21:28:38 2026 error -1 reading relation 104667239
  33. Wed Jan 7 21:28:46 2026 error -1 reading relation 107622299
  34. Wed Jan 7 21:28:47 2026 error -1 reading relation 108115595
  35. Wed Jan 7 21:28:50 2026 error -1 reading relation 109551028
  36. Wed Jan 7 21:29:04 2026 error -1 reading relation 115504549
  37. Wed Jan 7 21:30:07 2026 error -1 reading relation 142819129
  38. Wed Jan 7 21:30:33 2026 error -15 reading relation 154159225
  39. Wed Jan 7 21:30:35 2026 error -1 reading relation 155017973
  40. Wed Jan 7 21:31:24 2026 error -1 reading relation 176561067
  41. Wed Jan 7 21:31:25 2026 error -1 reading relation 177304947
  42. Wed Jan 7 21:31:30 2026 error -1 reading relation 179207953
  43. Wed Jan 7 21:31:30 2026 error -1 reading relation 179512293
  44. Wed Jan 7 21:31:37 2026 error -1 reading relation 182623894
  45. Wed Jan 7 21:31:40 2026 error -1 reading relation 183657015
  46. Wed Jan 7 21:31:41 2026 error -15 reading relation 184976516
  47. Wed Jan 7 21:32:02 2026 error -1 reading relation 193887938
  48. Wed Jan 7 21:32:05 2026 error -11 reading relation 194897121
  49. Wed Jan 7 21:32:13 2026 error -1 reading relation 199119408
  50. Wed Jan 7 21:32:38 2026 error -1 reading relation 209624210
  51. Wed Jan 7 21:32:56 2026 error -1 reading relation 217749324
  52. Wed Jan 7 21:33:23 2026 error -1 reading relation 229524359
  53. Wed Jan 7 21:33:35 2026 error -1 reading relation 234184695
  54. Wed Jan 7 21:33:37 2026 error -1 reading relation 235020326
  55. Wed Jan 7 21:33:39 2026 error -1 reading relation 236002707
  56. Wed Jan 7 21:34:00 2026 error -1 reading relation 245364122
  57. Wed Jan 7 21:34:00 2026 error -1 reading relation 245386072
  58. Wed Jan 7 21:34:09 2026 error -1 reading relation 248805287
  59. Wed Jan 7 21:34:10 2026 error -1 reading relation 249323331
  60. Wed Jan 7 21:34:17 2026 error -1 reading relation 252844618
  61. Wed Jan 7 21:34:22 2026 error -1 reading relation 254988882
  62. Wed Jan 7 21:34:31 2026 error -1 reading relation 258396907
  63. Wed Jan 7 21:34:52 2026 error -1 reading relation 267716069
  64. Wed Jan 7 21:34:55 2026 error -1 reading relation 269150046
  65. Wed Jan 7 21:35:15 2026 error -1 reading relation 276994594
  66. Wed Jan 7 21:35:37 2026 error -1 reading relation 286698182
  67. Wed Jan 7 21:35:49 2026 error -1 reading relation 292291706
  68. Wed Jan 7 21:36:15 2026 error -1 reading relation 303502883
  69. Wed Jan 7 21:36:36 2026 error -1 reading relation 313133850
  70. Wed Jan 7 21:36:57 2026 error -1 reading relation 322466802
  71. Wed Jan 7 21:37:00 2026 error -1 reading relation 323801845
  72. Wed Jan 7 21:37:09 2026 error -1 reading relation 327492196
  73. Wed Jan 7 21:37:37 2026 error -1 reading relation 339970166
  74. Wed Jan 7 21:37:55 2026 error -11 reading relation 347944848
  75. Wed Jan 7 21:37:56 2026 error -15 reading relation 348315674
  76. Wed Jan 7 21:38:15 2026 error -1 reading relation 356077261
  77. Wed Jan 7 21:38:17 2026 error -1 reading relation 356829901
  78. Wed Jan 7 21:38:25 2026 error -1 reading relation 360893782
  79. Wed Jan 7 21:38:37 2026 error -1 reading relation 365550737
  80. Wed Jan 7 21:38:37 2026 error -1 reading relation 365560072
  81. Wed Jan 7 21:38:38 2026 error -15 reading relation 365806120
  82. Wed Jan 7 21:38:38 2026 error -1 reading relation 366036453
  83. Wed Jan 7 21:38:40 2026 error -1 reading relation 366913385
  84. Wed Jan 7 21:38:53 2026 error -1 reading relation 372061823
  85. Wed Jan 7 21:39:13 2026 error -1 reading relation 381110708
  86. Wed Jan 7 21:39:22 2026 error -1 reading relation 384808738
  87. Wed Jan 7 21:39:30 2026 error -1 reading relation 388359000
  88. Wed Jan 7 21:39:34 2026 error -1 reading relation 390228090
  89. Wed Jan 7 21:39:40 2026 error -1 reading relation 392703346
  90. Wed Jan 7 21:39:44 2026 error -1 reading relation 394031777
  91. Wed Jan 7 21:39:52 2026 error -1 reading relation 397400098
  92. Wed Jan 7 21:39:56 2026 error -1 reading relation 399823598
  93. Wed Jan 7 21:40:10 2026 error -1 reading relation 405715757
  94. Wed Jan 7 21:40:14 2026 error -1 reading relation 407131090
  95. Wed Jan 7 21:40:54 2026 error -1 reading relation 424280392
  96. Wed Jan 7 21:40:54 2026 error -1 reading relation 424286233
  97. Wed Jan 7 21:40:54 2026 error -1 reading relation 424288003
  98. Wed Jan 7 21:41:00 2026 error -1 reading relation 427111496
  99. Wed Jan 7 21:41:08 2026 error -1 reading relation 430465359
  100. Wed Jan 7 21:41:10 2026 error -1 reading relation 431284154
  101. Wed Jan 7 21:41:12 2026 error -1 reading relation 432246881
  102. Wed Jan 7 21:41:13 2026 error -1 reading relation 432642598
  103. Wed Jan 7 21:41:14 2026 error -1 reading relation 432710843
  104. Wed Jan 7 21:41:14 2026 error -1 reading relation 432712141
  105. Wed Jan 7 21:41:14 2026 error -1 reading relation 432712832
  106. Wed Jan 7 21:41:27 2026 error -1 reading relation 438273321
  107. Wed Jan 7 21:41:32 2026 error -1 reading relation 440821125
  108. Wed Jan 7 21:41:32 2026 error -1 reading relation 440991724
  109. Wed Jan 7 21:41:57 2026 error -1 reading relation 450821843
  110. Wed Jan 7 21:42:32 2026 error -1 reading relation 466444080
  111. Wed Jan 7 21:42:36 2026 error -15 reading relation 468067684
  112. Wed Jan 7 21:42:49 2026 error -1 reading relation 473405647
  113. Wed Jan 7 21:43:11 2026 error -1 reading relation 483026944
  114. Wed Jan 7 21:43:13 2026 error -1 reading relation 483695208
  115. Wed Jan 7 21:43:16 2026 error -1 reading relation 484999506
  116. Wed Jan 7 21:43:27 2026 error -1 reading relation 489757882
  117. Wed Jan 7 21:43:34 2026 error -1 reading relation 492949245
  118. Wed Jan 7 21:43:38 2026 error -1 reading relation 494711666
  119. Wed Jan 7 21:43:48 2026 error -1 reading relation 498838324
  120. Wed Jan 7 21:44:00 2026 error -1 reading relation 503793361
  121. Wed Jan 7 21:44:02 2026 error -1 reading relation 505157916
  122. Wed Jan 7 21:44:03 2026 error -1 reading relation 505712339
  123. Wed Jan 7 21:44:13 2026 error -1 reading relation 509484761
  124. Wed Jan 7 21:44:20 2026 error -1 reading relation 512431368
  125. Wed Jan 7 21:44:34 2026 error -1 reading relation 518622799
  126. Wed Jan 7 21:44:41 2026 error -1 reading relation 521905607
  127. Wed Jan 7 21:44:42 2026 error -5 reading relation 522297289
  128. Wed Jan 7 21:44:56 2026 error -1 reading relation 527995811
  129. Wed Jan 7 21:45:08 2026 error -1 reading relation 533374239
  130. Wed Jan 7 21:45:32 2026 error -1 reading relation 543030692
  131. Wed Jan 7 21:45:52 2026 error -1 reading relation 552034621
  132. Wed Jan 7 21:46:00 2026 error -1 reading relation 555497014
  133. Wed Jan 7 21:46:00 2026 error -1 reading relation 555497545
  134. Wed Jan 7 21:46:04 2026 error -1 reading relation 556937108
  135. Wed Jan 7 21:46:10 2026 error -1 reading relation 559922641
  136. Wed Jan 7 21:46:38 2026 error -1 reading relation 571980159
  137. Wed Jan 7 21:46:56 2026 error -1 reading relation 579602265
  138. Wed Jan 7 21:47:12 2026 error -1 reading relation 586332410
  139. Wed Jan 7 21:47:43 2026 error -1 reading relation 600216731
  140. Wed Jan 7 21:47:57 2026 error -1 reading relation 606523293
  141. Wed Jan 7 21:48:00 2026 error -1 reading relation 607973434
  142. Wed Jan 7 21:48:01 2026 error -1 reading relation 608664198
  143. Wed Jan 7 21:48:13 2026 error -1 reading relation 614427582
  144. Wed Jan 7 21:48:22 2026 error -1 reading relation 618368077
  145. Wed Jan 7 21:48:25 2026 error -1 reading relation 619542805
  146. Wed Jan 7 21:48:28 2026 error -1 reading relation 621079016
  147. Wed Jan 7 21:48:33 2026 error -1 reading relation 623016596
  148. Wed Jan 7 21:48:48 2026 error -1 reading relation 630131741
  149. Wed Jan 7 21:48:50 2026 error -1 reading relation 630761700
  150. Wed Jan 7 21:48:55 2026 error -1 reading relation 633028112
  151. Wed Jan 7 21:49:23 2026 error -1 reading relation 645027846
  152. Wed Jan 7 21:49:29 2026 error -1 reading relation 647199814
  153. Wed Jan 7 21:49:41 2026 error -1 reading relation 653033745
  154. Wed Jan 7 21:49:43 2026 error -1 reading relation 653550389
  155. Wed Jan 7 21:49:43 2026 error -1 reading relation 653551589
  156. Wed Jan 7 21:49:43 2026 error -1 reading relation 653557683
  157. Wed Jan 7 21:49:55 2026 error -1 reading relation 658796609
  158. Wed Jan 7 21:49:59 2026 error -1 reading relation 660298900
  159. Wed Jan 7 21:50:01 2026 error -1 reading relation 661117809
  160. Wed Jan 7 21:50:04 2026 skipped 1 relations with b > 2^32
  161. Wed Jan 7 21:50:04 2026 skipped 2 relations with composite factors
  162. Wed Jan 7 21:50:04 2026 skipped 862 malformed relations
  163. Wed Jan 7 21:50:04 2026 found 154602267 hash collisions in 662378358 relations
  164. Wed Jan 7 21:50:17 2026 added 121421 free relations
  165. Wed Jan 7 21:50:17 2026 commencing duplicate removal, pass 2
  166. Wed Jan 7 21:55:48 2026 found 173221083 duplicates and 489278696 unique relations
  167. Wed Jan 7 21:55:48 2026 memory use: 3411.0 MB
  168. Wed Jan 7 21:55:48 2026 reading ideals above 285933568
  169. Wed Jan 7 21:55:48 2026 commencing singleton removal, initial pass
  170. Wed Jan 7 22:15:56 2026 memory use: 11024.0 MB
  171. Wed Jan 7 22:15:56 2026 reading all ideals from disk
  172. Wed Jan 7 22:16:01 2026 memory use: 12772.8 MB
  173. Wed Jan 7 22:16:16 2026 commencing in-memory singleton removal
  174. Wed Jan 7 22:16:20 2026 begin with 489278696 relations and 441205593 unique ideals
  175. Wed Jan 7 22:16:58 2026 reduce to 284469497 relations and 212911915 ideals in 16 passes
  176. Wed Jan 7 22:16:58 2026 max relations containing the same ideal: 29
  177. Wed Jan 7 22:17:05 2026 reading ideals above 720000
  178. Wed Jan 7 22:17:05 2026 commencing singleton removal, initial pass
  179. Wed Jan 7 22:35:21 2026 memory use: 6024.0 MB
  180. Wed Jan 7 22:35:22 2026 reading all ideals from disk
  181. Wed Jan 7 22:35:27 2026 memory use: 14125.0 MB
  182. Wed Jan 7 22:35:46 2026 keeping 242513399 ideals with weight <= 200, target excess is 1458040
  183. Wed Jan 7 22:36:10 2026 commencing in-memory singleton removal
  184. Wed Jan 7 22:36:15 2026 begin with 284469497 relations and 242513399 unique ideals
  185. Wed Jan 7 22:36:49 2026 reduce to 284452286 relations and 242496188 ideals in 10 passes
  186. Wed Jan 7 22:36:49 2026 max relations containing the same ideal: 200
  187. Wed Jan 7 22:38:20 2026 removing 15517491 relations and 13517491 ideals in 2000000 cliques
  188. Wed Jan 7 22:38:26 2026 commencing in-memory singleton removal
  189. Wed Jan 7 22:38:29 2026 begin with 268934795 relations and 242496188 unique ideals
  190. Wed Jan 7 22:38:58 2026 reduce to 268288950 relations and 228326556 ideals in 9 passes
  191. Wed Jan 7 22:38:58 2026 max relations containing the same ideal: 199
  192. Wed Jan 7 22:40:26 2026 removing 11608233 relations and 9608233 ideals in 2000000 cliques
  193. Wed Jan 7 22:40:30 2026 commencing in-memory singleton removal
  194. Wed Jan 7 22:40:33 2026 begin with 256680717 relations and 228326556 unique ideals
  195. Wed Jan 7 22:41:00 2026 reduce to 256278673 relations and 218312974 ideals in 8 passes
  196. Wed Jan 7 22:41:00 2026 max relations containing the same ideal: 196
  197. Wed Jan 7 22:42:22 2026 removing 10385250 relations and 8385250 ideals in 2000000 cliques
  198. Wed Jan 7 22:42:27 2026 commencing in-memory singleton removal
  199. Wed Jan 7 22:42:30 2026 begin with 245893423 relations and 218312974 unique ideals
  200. Wed Jan 7 22:42:57 2026 reduce to 245550643 relations and 209582194 ideals in 9 passes
  201. Wed Jan 7 22:42:57 2026 max relations containing the same ideal: 194
  202. Wed Jan 7 22:44:15 2026 removing 9709905 relations and 7709905 ideals in 2000000 cliques
  203. Wed Jan 7 22:44:20 2026 commencing in-memory singleton removal
  204. Wed Jan 7 22:44:23 2026 begin with 235840738 relations and 209582194 unique ideals
  205. Wed Jan 7 22:44:45 2026 reduce to 235526350 relations and 201555449 ideals in 8 passes
  206. Wed Jan 7 22:44:45 2026 max relations containing the same ideal: 187
  207. Wed Jan 7 22:46:02 2026 removing 9266302 relations and 7266302 ideals in 2000000 cliques
  208. Wed Jan 7 22:46:06 2026 commencing in-memory singleton removal
  209. Wed Jan 7 22:46:08 2026 begin with 226260048 relations and 201555449 unique ideals
  210. Wed Jan 7 22:46:29 2026 reduce to 225961003 relations and 193987706 ideals in 7 passes
  211. Wed Jan 7 22:46:29 2026 max relations containing the same ideal: 184
  212. Wed Jan 7 22:47:35 2026 removing 8953119 relations and 6953119 ideals in 2000000 cliques
  213. Wed Jan 7 22:47:40 2026 commencing in-memory singleton removal
  214. Wed Jan 7 22:47:41 2026 begin with 217007884 relations and 193987706 unique ideals
  215. Wed Jan 7 22:48:00 2026 reduce to 216717120 relations and 186741446 ideals in 7 passes
  216. Wed Jan 7 22:48:00 2026 max relations containing the same ideal: 181
  217. Wed Jan 7 22:49:06 2026 removing 8723729 relations and 6723729 ideals in 2000000 cliques
  218. Wed Jan 7 22:49:10 2026 commencing in-memory singleton removal
  219. Wed Jan 7 22:49:12 2026 begin with 207993391 relations and 186741446 unique ideals
  220. Wed Jan 7 22:49:30 2026 reduce to 207706823 relations and 179728794 ideals in 7 passes
  221. Wed Jan 7 22:49:30 2026 max relations containing the same ideal: 177
  222. Wed Jan 7 22:50:34 2026 removing 8549584 relations and 6549584 ideals in 2000000 cliques
  223. Wed Jan 7 22:50:38 2026 commencing in-memory singleton removal
  224. Wed Jan 7 22:50:41 2026 begin with 199157239 relations and 179728794 unique ideals
  225. Wed Jan 7 22:50:59 2026 reduce to 198867649 relations and 172887066 ideals in 8 passes
  226. Wed Jan 7 22:50:59 2026 max relations containing the same ideal: 170
  227. Wed Jan 7 22:52:02 2026 removing 8423083 relations and 6423083 ideals in 2000000 cliques
  228. Wed Jan 7 22:52:06 2026 commencing in-memory singleton removal
  229. Wed Jan 7 22:52:09 2026 begin with 190444566 relations and 172887066 unique ideals
  230. Wed Jan 7 22:52:24 2026 reduce to 190153293 relations and 166170017 ideals in 7 passes
  231. Wed Jan 7 22:52:24 2026 max relations containing the same ideal: 166
  232. Wed Jan 7 22:53:24 2026 removing 8325896 relations and 6325896 ideals in 2000000 cliques
  233. Wed Jan 7 22:53:28 2026 commencing in-memory singleton removal
  234. Wed Jan 7 22:53:30 2026 begin with 181827397 relations and 166170017 unique ideals
  235. Wed Jan 7 22:53:47 2026 reduce to 181529747 relations and 159543678 ideals in 7 passes
  236. Wed Jan 7 22:53:47 2026 max relations containing the same ideal: 161
  237. Wed Jan 7 22:54:46 2026 removing 8257357 relations and 6257357 ideals in 2000000 cliques
  238. Wed Jan 7 22:54:50 2026 commencing in-memory singleton removal
  239. Wed Jan 7 22:54:50 2026 begin with 173272390 relations and 159543678 unique ideals
  240. Wed Jan 7 22:55:06 2026 reduce to 172966949 relations and 152977938 ideals in 7 passes
  241. Wed Jan 7 22:55:06 2026 max relations containing the same ideal: 155
  242. Wed Jan 7 22:56:02 2026 removing 8213151 relations and 6213151 ideals in 2000000 cliques
  243. Wed Jan 7 22:56:05 2026 commencing in-memory singleton removal
  244. Wed Jan 7 22:56:08 2026 begin with 164753798 relations and 152977938 unique ideals
  245. Wed Jan 7 22:56:23 2026 reduce to 164435445 relations and 146443116 ideals in 7 passes
  246. Wed Jan 7 22:56:23 2026 max relations containing the same ideal: 152
  247. Wed Jan 7 22:57:17 2026 removing 8192503 relations and 6192503 ideals in 2000000 cliques
  248. Wed Jan 7 22:57:20 2026 commencing in-memory singleton removal
  249. Wed Jan 7 22:57:22 2026 begin with 156242942 relations and 146443116 unique ideals
  250. Wed Jan 7 22:57:37 2026 reduce to 155911425 relations and 139915468 ideals in 8 passes
  251. Wed Jan 7 22:57:37 2026 max relations containing the same ideal: 145
  252. Wed Jan 7 22:58:28 2026 removing 8187488 relations and 6187488 ideals in 2000000 cliques
  253. Wed Jan 7 22:58:31 2026 commencing in-memory singleton removal
  254. Wed Jan 7 22:58:33 2026 begin with 147723937 relations and 139915468 unique ideals
  255. Wed Jan 7 22:58:48 2026 reduce to 147374043 relations and 133374118 ideals in 8 passes
  256. Wed Jan 7 22:58:48 2026 max relations containing the same ideal: 141
  257. Wed Jan 7 22:59:36 2026 removing 8204504 relations and 6204504 ideals in 2000000 cliques
  258. Wed Jan 7 22:59:40 2026 commencing in-memory singleton removal
  259. Wed Jan 7 22:59:42 2026 begin with 139169539 relations and 133374118 unique ideals
  260. Wed Jan 7 22:59:58 2026 reduce to 138797175 relations and 126792721 ideals in 10 passes
  261. Wed Jan 7 22:59:58 2026 max relations containing the same ideal: 136
  262. Wed Jan 7 23:00:47 2026 removing 8239442 relations and 6239442 ideals in 2000000 cliques
  263. Wed Jan 7 23:00:50 2026 commencing in-memory singleton removal
  264. Wed Jan 7 23:00:52 2026 begin with 130557733 relations and 126792721 unique ideals
  265. Wed Jan 7 23:01:05 2026 reduce to 130156747 relations and 120147332 ideals in 9 passes
  266. Wed Jan 7 23:01:05 2026 max relations containing the same ideal: 130
  267. Wed Jan 7 23:01:51 2026 removing 8298253 relations and 6298253 ideals in 2000000 cliques
  268. Wed Jan 7 23:01:54 2026 commencing in-memory singleton removal
  269. Wed Jan 7 23:01:56 2026 begin with 121858494 relations and 120147332 unique ideals
  270. Wed Jan 7 23:02:05 2026 reduce to 121424674 relations and 113409598 ideals in 7 passes
  271. Wed Jan 7 23:02:05 2026 max relations containing the same ideal: 127
  272. Wed Jan 7 23:02:47 2026 removing 8382364 relations and 6382364 ideals in 2000000 cliques
  273. Wed Jan 7 23:02:49 2026 commencing in-memory singleton removal
  274. Wed Jan 7 23:02:51 2026 begin with 113042310 relations and 113409598 unique ideals
  275. Wed Jan 7 23:03:01 2026 reduce to 112564750 relations and 106542899 ideals in 7 passes
  276. Wed Jan 7 23:03:01 2026 max relations containing the same ideal: 117
  277. Wed Jan 7 23:03:39 2026 removing 8488408 relations and 6488408 ideals in 2000000 cliques
  278. Wed Jan 7 23:03:42 2026 commencing in-memory singleton removal
  279. Wed Jan 7 23:03:43 2026 begin with 104076342 relations and 106542899 unique ideals
  280. Wed Jan 7 23:03:54 2026 reduce to 103543112 relations and 99513306 ideals in 8 passes
  281. Wed Jan 7 23:03:54 2026 max relations containing the same ideal: 112
  282. Wed Jan 7 23:04:31 2026 removing 8632110 relations and 6632110 ideals in 2000000 cliques
  283. Wed Jan 7 23:04:34 2026 commencing in-memory singleton removal
  284. Wed Jan 7 23:04:34 2026 begin with 94911002 relations and 99513306 unique ideals
  285. Wed Jan 7 23:04:43 2026 reduce to 94302523 relations and 92262687 ideals in 8 passes
  286. Wed Jan 7 23:04:43 2026 max relations containing the same ideal: 104
  287. Wed Jan 7 23:05:17 2026 removing 2135003 relations and 1786494 ideals in 348509 cliques
  288. Wed Jan 7 23:05:19 2026 commencing in-memory singleton removal
  289. Wed Jan 7 23:05:20 2026 begin with 92167520 relations and 92262687 unique ideals
  290. Wed Jan 7 23:05:27 2026 reduce to 92132847 relations and 90441422 ideals in 6 passes
  291. Wed Jan 7 23:05:27 2026 max relations containing the same ideal: 103
  292. Wed Jan 7 23:05:35 2026 relations with 0 large ideals: 5142
  293. Wed Jan 7 23:05:35 2026 relations with 1 large ideals: 19251
  294. Wed Jan 7 23:05:35 2026 relations with 2 large ideals: 308736
  295. Wed Jan 7 23:05:35 2026 relations with 3 large ideals: 2139007
  296. Wed Jan 7 23:05:35 2026 relations with 4 large ideals: 8002186
  297. Wed Jan 7 23:05:35 2026 relations with 5 large ideals: 17893381
  298. Wed Jan 7 23:05:35 2026 relations with 6 large ideals: 25028626
  299. Wed Jan 7 23:05:35 2026 relations with 7+ large ideals: 38736518
  300. Wed Jan 7 23:05:35 2026 commencing 2-way merge
  301. Wed Jan 7 23:06:25 2026 reduce to 56522304 relation sets and 54830879 unique ideals
  302. Wed Jan 7 23:06:25 2026 commencing full merge
  303. Wed Jan 7 23:20:27 2026 memory use: 6343.1 MB
  304. Wed Jan 7 23:20:34 2026 found 28032113 cycles, need 27803079
  305. Wed Jan 7 23:20:41 2026 weight of 27803079 cycles is about 2502324273 (90.00/cycle)
  306. Wed Jan 7 23:20:41 2026 distribution of cycle lengths:
  307. Wed Jan 7 23:20:41 2026 1 relations: 3008810
  308. Wed Jan 7 23:20:41 2026 2 relations: 2710973
  309. Wed Jan 7 23:20:41 2026 3 relations: 2782942
  310. Wed Jan 7 23:20:41 2026 4 relations: 2691904
  311. Wed Jan 7 23:20:41 2026 5 relations: 2594223
  312. Wed Jan 7 23:20:41 2026 6 relations: 2411954
  313. Wed Jan 7 23:20:41 2026 7 relations: 2195556
  314. Wed Jan 7 23:20:41 2026 8 relations: 1962397
  315. Wed Jan 7 23:20:41 2026 9 relations: 1694642
  316. Wed Jan 7 23:20:41 2026 10+ relations: 5749678
  317. Wed Jan 7 23:20:41 2026 heaviest cycle: 21 relations
  318. Wed Jan 7 23:20:47 2026 commencing cycle optimization
  319. Wed Jan 7 23:21:36 2026 start with 172524773 relations
  320. Wed Jan 7 23:25:41 2026 pruned 4627717 relations
  321. Wed Jan 7 23:25:44 2026 memory use: 5542.7 MB
  322. Wed Jan 7 23:25:44 2026 distribution of cycle lengths:
  323. Wed Jan 7 23:25:44 2026 1 relations: 3008810
  324. Wed Jan 7 23:25:44 2026 2 relations: 2775141
  325. Wed Jan 7 23:25:44 2026 3 relations: 2881825
  326. Wed Jan 7 23:25:44 2026 4 relations: 2766989
  327. Wed Jan 7 23:25:44 2026 5 relations: 2673663
  328. Wed Jan 7 23:25:44 2026 6 relations: 2467664
  329. Wed Jan 7 23:25:44 2026 7 relations: 2244738
  330. Wed Jan 7 23:25:44 2026 8 relations: 1986591
  331. Wed Jan 7 23:25:44 2026 9 relations: 1700438
  332. Wed Jan 7 23:25:44 2026 10+ relations: 5297220
  333. Wed Jan 7 23:25:44 2026 heaviest cycle: 21 relations
  334. Wed Jan 7 23:26:23 2026 RelProcTime: 7315
  335. Wed Jan 7 23:26:30 2026 elapsed time 02:02:02
  336. Wed Jan 7 23:26:31 2026
  337. Wed Jan 7 23:26:31 2026
  338. Wed Jan 7 23:26:31 2026 Msieve v. 1.54 (SVN Unversioned directory)
  339. Wed Jan 7 23:26:31 2026 random seeds: f3a73cd3 ebc930ca
  340. Wed Jan 7 23:26:31 2026 Using 8 OpenMP threads
  341. Wed Jan 7 23:26:31 2026 factoring 17694305322290732364082132551783038405431048772340881552887984398640491795002417774203169194563177719346140557852240987036815225096098508396917724248962656269129551638199190641695439416437 (188 digits)
  342. Wed Jan 7 23:26:31 2026 searching for 15-digit factors
  343. Wed Jan 7 23:26:31 2026 commencing number field sieve (188-digit input)
  344. Wed Jan 7 23:26:31 2026 R0: -1843247616724367994758794567480339144
  345. Wed Jan 7 23:26:31 2026 R1: 8275558558300199889881
  346. Wed Jan 7 23:26:31 2026 A0: -373681591092094701277454673788849174705335467
  347. Wed Jan 7 23:26:31 2026 A1: -47825678303787354831022961194128035199
  348. Wed Jan 7 23:26:31 2026 A2: 17643695875359695617462697381
  349. Wed Jan 7 23:26:31 2026 A3: -3275477211710145681857
  350. Wed Jan 7 23:26:31 2026 A4: 269141523005142
  351. Wed Jan 7 23:26:31 2026 A5: 831600
  352. Wed Jan 7 23:26:31 2026 skew 1.00, size 2.731e-18, alpha -7.597, combined = 9.344e-17 rroots = 3
  353. Wed Jan 7 23:26:31 2026
  354. Wed Jan 7 23:26:31 2026 commencing linear algebra
  355. Wed Jan 7 23:26:31 2026 using VBITS=256
  356. Wed Jan 7 23:26:31 2026 stopping after matrix build
  357. Wed Jan 7 23:26:31 2026 read 27803079 cycles
  358. Wed Jan 7 23:27:05 2026 cycles contain 91100956 unique relations
  359. Wed Jan 7 23:35:33 2026 read 91100956 relations
  360. Wed Jan 7 23:36:05 2026 using 20 quadratic characters above 4294917295
  361. Wed Jan 7 23:36:43 2026 building initial matrix
  362. Wed Jan 7 23:53:46 2026 memory use: 12445.5 MB
  363. Wed Jan 7 23:54:02 2026 read 27803079 cycles
  364. Wed Jan 7 23:54:04 2026 matrix is 27802902 x 27803079 (10307.3 MB) with weight 3125912333 (112.43/col)
  365. Wed Jan 7 23:54:04 2026 sparse part has weight 2396174544 (86.18/col)
  366. Wed Jan 7 23:59:23 2026 filtering completed in 2 passes
  367. Wed Jan 7 23:59:30 2026 matrix is 27796999 x 27797172 (10306.9 MB) with weight 3125710090 (112.45/col)
  368. Wed Jan 7 23:59:30 2026 sparse part has weight 2396124399 (86.20/col)
  369. Thu Jan 8 00:00:32 2026 BLanczosTime: 2041
  370. Thu Jan 8 00:00:32 2026 elapsed time 00:34:01
  371. Thu Jan 8 00:00:57 2026
  372. Thu Jan 8 00:00:57 2026
  373. Thu Jan 8 00:00:57 2026 Msieve v. 1.54 (SVN Unversioned directory)
  374. Thu Jan 8 00:00:57 2026 random seeds: c2f54911 e36d6265
  375. Thu Jan 8 00:00:57 2026 Using 8 OpenMP threads
  376. Thu Jan 8 00:00:57 2026 factoring 17694305322290732364082132551783038405431048772340881552887984398640491795002417774203169194563177719346140557852240987036815225096098508396917724248962656269129551638199190641695439416437 (188 digits)
  377. Thu Jan 8 00:00:58 2026 searching for 15-digit factors
  378. Thu Jan 8 00:00:58 2026 commencing number field sieve (188-digit input)
  379. Thu Jan 8 00:00:58 2026 R0: -1843247616724367994758794567480339144
  380. Thu Jan 8 00:00:58 2026 R1: 8275558558300199889881
  381. Thu Jan 8 00:00:58 2026 A0: -373681591092094701277454673788849174705335467
  382. Thu Jan 8 00:00:58 2026 A1: -47825678303787354831022961194128035199
  383. Thu Jan 8 00:00:58 2026 A2: 17643695875359695617462697381
  384. Thu Jan 8 00:00:58 2026 A3: -3275477211710145681857
  385. Thu Jan 8 00:00:58 2026 A4: 269141523005142
  386. Thu Jan 8 00:00:58 2026 A5: 831600
  387. Thu Jan 8 00:00:58 2026 skew 1.00, size 2.731e-18, alpha -7.597, combined = 9.344e-17 rroots = 3
  388. Thu Jan 8 00:00:58 2026
  389. Thu Jan 8 00:00:58 2026 commencing linear algebra
  390. Thu Jan 8 00:00:58 2026 using VBITS=256
  391. Thu Jan 8 00:00:58 2026 skipping matrix build
  392. Thu Jan 8 00:01:03 2026 matrix starts at (0, 0)
  393. Thu Jan 8 00:01:06 2026 matrix is 27796999 x 27797172 (10306.9 MB) with weight 3125710090 (112.45/col)
  394. Thu Jan 8 00:01:06 2026 sparse part has weight 2396124399 (86.20/col)
  395. Thu Jan 8 00:01:06 2026 saving the first 240 matrix rows for later
  396. Thu Jan 8 00:01:12 2026 matrix includes 256 packed rows
  397. Thu Jan 8 00:01:16 2026 matrix is 27796759 x 27797172 (9562.6 MB) with weight 2189173483 (78.76/col)
  398. Thu Jan 8 00:01:16 2026 sparse part has weight 2062016242 (74.18/col)
  399. Thu Jan 8 00:01:16 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  400. Thu Jan 8 00:01:16 2026 selected card has CUDA arch 12.0
  401. Thu Jan 8 00:09:45 2026 commencing Lanczos iteration
  402. Thu Jan 8 00:11:03 2026 memory use: 22942.5 MB
  403. Thu Jan 8 00:14:27 2026 linear algebra at 0.1%, ETA 50h53m
  404. Thu Jan 8 00:19:35 2026 checking every 10000 dimensions, checkpointing every 550000 dimensions
  405. Sat Jan 10 07:03:11 2026 lanczos halted after 108908 iterations (dim = 27796759)
  406. Sat Jan 10 07:04:38 2026 recovered 30 nontrivial dependencies
  407. Sat Jan 10 07:04:46 2026 BLanczosTime: 198228
  408. Sat Jan 10 07:04:46 2026 elapsed time 55:03:49
  409. Sat Jan 10 07:04:48 2026
  410. Sat Jan 10 07:04:48 2026
  411. Sat Jan 10 07:04:48 2026 Msieve v. 1.54 (SVN Unversioned directory)
  412. Sat Jan 10 07:04:48 2026 random seeds: dc62fa04 354bf6f5
  413. Sat Jan 10 07:04:48 2026 Using 8 OpenMP threads
  414. Sat Jan 10 07:04:48 2026 factoring 17694305322290732364082132551783038405431048772340881552887984398640491795002417774203169194563177719346140557852240987036815225096098508396917724248962656269129551638199190641695439416437 (188 digits)
  415. Sat Jan 10 07:04:48 2026 searching for 15-digit factors
  416. Sat Jan 10 07:04:49 2026 commencing number field sieve (188-digit input)
  417. Sat Jan 10 07:04:49 2026 R0: -1843247616724367994758794567480339144
  418. Sat Jan 10 07:04:49 2026 R1: 8275558558300199889881
  419. Sat Jan 10 07:04:49 2026 A0: -373681591092094701277454673788849174705335467
  420. Sat Jan 10 07:04:49 2026 A1: -47825678303787354831022961194128035199
  421. Sat Jan 10 07:04:49 2026 A2: 17643695875359695617462697381
  422. Sat Jan 10 07:04:49 2026 A3: -3275477211710145681857
  423. Sat Jan 10 07:04:49 2026 A4: 269141523005142
  424. Sat Jan 10 07:04:49 2026 A5: 831600
  425. Sat Jan 10 07:04:49 2026 skew 1.00, size 2.731e-18, alpha -7.597, combined = 9.344e-17 rroots = 3
  426. Sat Jan 10 07:04:49 2026
  427. Sat Jan 10 07:04:49 2026 commencing square root phase
  428. Sat Jan 10 07:04:49 2026 reading relations for dependency 1
  429. Sat Jan 10 07:05:02 2026 read 13901223 cycles
  430. Sat Jan 10 07:05:34 2026 cycles contain 45556032 unique relations
  431. Sat Jan 10 07:12:07 2026 read 45556032 relations
  432. Sat Jan 10 07:15:43 2026 multiplying 45556032 relations
  433. Sat Jan 10 07:24:49 2026 multiply complete, coefficients have about 2743.11 million bits
  434. Sat Jan 10 07:24:58 2026 initial square root is modulo 1420429
  435. Sat Jan 10 07:42:31 2026 GCD is 1, no factor found
  436. Sat Jan 10 07:42:31 2026 reading relations for dependency 2
  437. Sat Jan 10 07:42:35 2026 read 13898727 cycles
  438. Sat Jan 10 07:43:07 2026 cycles contain 45544770 unique relations
  439. Sat Jan 10 07:53:45 2026 read 45544770 relations
  440. Sat Jan 10 07:58:52 2026 multiplying 45544770 relations
  441. Sat Jan 10 08:09:07 2026 multiply complete, coefficients have about 2742.43 million bits
  442. Sat Jan 10 08:09:18 2026 initial square root is modulo 1415377
  443. Sat Jan 10 08:32:27 2026 sqrtTime: 5258
  444. Sat Jan 10 08:32:27 2026 p64 factor: 1301153960743384041123145566670243832505706191185958543999577859
  445. Sat Jan 10 08:32:27 2026 p125 factor: 13598932836650247536433605708135299166732263586315709578321314707204492498662040150722184210671618543708086003239609210421543
  446. Sat Jan 10 08:32:27 2026 elapsed time 01:27:39
  447.  
Tags: math
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