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kyleaskine
Aug 6th, 2026
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  1. Tue Aug 4 10:01:44 2026
  2. Tue Aug 4 10:01:44 2026
  3. Tue Aug 4 10:01:44 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Aug 4 10:01:44 2026 random seeds: a2a5c40c 1c50baa8
  5. Tue Aug 4 10:01:44 2026 Using 14 OpenMP threads
  6. Tue Aug 4 10:01:44 2026 factoring 70340270798142371007920476149431054952728372079474441671753993028436552736474423241791409820721592029254859402425208458177898635638149530281010171553646304056605616662520456616685840254794572201 (194 digits)
  7. Tue Aug 4 10:01:44 2026 no P-1/P+1/ECM available, skipping
  8. Tue Aug 4 10:01:44 2026 commencing number field sieve (194-digit input)
  9. Tue Aug 4 10:01:44 2026 R0: -44224589878561369527586801387980164515
  10. Tue Aug 4 10:01:44 2026 R1: 172198978583542731529889
  11. Tue Aug 4 10:01:44 2026 A0: 20504347725867737997554858903501128657990509072
  12. Tue Aug 4 10:01:44 2026 A1: -632464580317268901634486794291609533780
  13. Tue Aug 4 10:01:44 2026 A2: -57518111705726597145148849967751
  14. Tue Aug 4 10:01:44 2026 A3: -45391299288855245425450
  15. Tue Aug 4 10:01:44 2026 A4: 354317242996092
  16. Tue Aug 4 10:01:44 2026 A5: 1247400
  17. Tue Aug 4 10:01:44 2026 skew 199566241.60, size 6.037e-19, alpha -8.387, combined = 1.283e-14 rroots = 3
  18. Tue Aug 4 10:01:44 2026
  19. Tue Aug 4 10:01:44 2026 commencing relation filtering
  20. Tue Aug 4 10:01:44 2026 setting 4 target densities:Tue Aug 4 10:01:44 2026 70Tue Aug 4 10:01:44 2026 80Tue Aug 4 10:01:44 2026 90Tue Aug 4 10:01:44 2026 110Tue Aug 4 10:01:44 2026
  21. Tue Aug 4 10:01:44 2026 estimated available RAM is 78540.1 MB
  22. Tue Aug 4 10:01:44 2026 commencing duplicate removal, pass 1
  23. Tue Aug 4 10:01:49 2026 error -1 reading relation 5557877
  24. Tue Aug 4 10:01:58 2026 error -1 reading relation 13904100
  25. Tue Aug 4 10:01:58 2026 error -1 reading relation 14040729
  26. Tue Aug 4 10:01:58 2026 error -1 reading relation 14153296
  27. Tue Aug 4 10:01:58 2026 error -1 reading relation 14813099
  28. Tue Aug 4 10:02:01 2026 error -1 reading relation 17347776
  29. Tue Aug 4 10:02:09 2026 error -1 reading relation 25245664
  30. Tue Aug 4 10:02:18 2026 error -1 reading relation 32946900
  31. Tue Aug 4 10:02:32 2026 error -1 reading relation 41313787
  32. Tue Aug 4 10:02:32 2026 error -1 reading relation 41438250
  33. Tue Aug 4 10:02:59 2026 error -1 reading relation 57617889
  34. Tue Aug 4 10:03:00 2026 error -1 reading relation 58210018
  35. Tue Aug 4 10:03:01 2026 error -1 reading relation 59219517
  36. Tue Aug 4 10:03:14 2026 error -1 reading relation 68220945
  37. Tue Aug 4 10:03:22 2026 error -1 reading relation 73602435
  38. Tue Aug 4 10:03:23 2026 error -1 reading relation 74018838
  39. Tue Aug 4 10:03:23 2026 error -1 reading relation 74855778
  40. Tue Aug 4 10:03:30 2026 error -1 reading relation 79384950
  41. Tue Aug 4 10:03:36 2026 error -1 reading relation 83355209
  42. Tue Aug 4 10:03:36 2026 error -1 reading relation 83433972
  43. Tue Aug 4 10:03:58 2026 error -1 reading relation 98484689
  44. Tue Aug 4 10:03:58 2026 error -1 reading relation 98728130
  45. Tue Aug 4 10:03:59 2026 error -1 reading relation 99369846
  46. Tue Aug 4 10:04:06 2026 error -1 reading relation 103879115
  47. Tue Aug 4 10:04:10 2026 error -1 reading relation 106111988
  48. Tue Aug 4 10:04:10 2026 error -1 reading relation 106342891
  49. Tue Aug 4 10:04:35 2026 error -1 reading relation 123805590
  50. Tue Aug 4 10:04:47 2026 error -1 reading relation 132068939
  51. Tue Aug 4 10:04:58 2026 error -1 reading relation 140026834
  52. Tue Aug 4 10:05:17 2026 error -1 reading relation 151900555
  53. Tue Aug 4 10:05:36 2026 error -1 reading relation 162365135
  54. Tue Aug 4 10:05:36 2026 error -1 reading relation 162365841
  55. Tue Aug 4 10:05:50 2026 error -1 reading relation 171211894
  56. Tue Aug 4 10:05:53 2026 error -1 reading relation 173515547
  57. Tue Aug 4 10:05:56 2026 error -1 reading relation 175656545
  58. Tue Aug 4 10:06:08 2026 error -1 reading relation 183385281
  59. Tue Aug 4 10:06:09 2026 error -1 reading relation 184350325
  60. Tue Aug 4 10:06:17 2026 error -1 reading relation 188839176
  61. Tue Aug 4 10:06:25 2026 error -1 reading relation 194223350
  62. Tue Aug 4 10:06:26 2026 error -1 reading relation 194620807
  63. Tue Aug 4 10:06:36 2026 error -1 reading relation 198106358
  64. Tue Aug 4 10:06:38 2026 error -1 reading relation 198731930
  65. Tue Aug 4 10:06:42 2026 error -1 reading relation 199877803
  66. Tue Aug 4 10:06:47 2026 error -1 reading relation 202270112
  67. Tue Aug 4 10:06:48 2026 error -1 reading relation 202605160
  68. Tue Aug 4 10:06:49 2026 error -1 reading relation 202870281
  69. Tue Aug 4 10:06:50 2026 error -1 reading relation 203086851
  70. Tue Aug 4 10:07:02 2026 error -1 reading relation 207164772
  71. Tue Aug 4 10:07:03 2026 error -1 reading relation 207456282
  72. Tue Aug 4 10:07:03 2026 error -1 reading relation 207575942
  73. Tue Aug 4 10:07:12 2026 error -1 reading relation 210541908
  74. Tue Aug 4 10:07:26 2026 error -1 reading relation 215853437
  75. Tue Aug 4 10:07:28 2026 error -1 reading relation 216468533
  76. Tue Aug 4 10:07:36 2026 error -1 reading relation 219358566
  77. Tue Aug 4 10:07:37 2026 error -1 reading relation 219746106
  78. Tue Aug 4 10:07:39 2026 error -1 reading relation 220397882
  79. Tue Aug 4 10:08:01 2026 error -1 reading relation 228608887
  80. Tue Aug 4 10:08:09 2026 error -1 reading relation 231276643
  81. Tue Aug 4 10:08:11 2026 error -5 reading relation 231999013
  82. Tue Aug 4 10:08:14 2026 error -1 reading relation 233002299
  83. Tue Aug 4 10:08:27 2026 error -1 reading relation 237717115
  84. Tue Aug 4 10:08:31 2026 error -1 reading relation 239363956
  85. Tue Aug 4 10:08:33 2026 error -1 reading relation 240078237
  86. Tue Aug 4 10:08:44 2026 error -1 reading relation 244339493
  87. Tue Aug 4 10:09:06 2026 error -1 reading relation 254944515
  88. Tue Aug 4 10:09:07 2026 error -1 reading relation 255731843
  89. Tue Aug 4 10:09:25 2026 error -1 reading relation 264960679
  90. Tue Aug 4 10:09:37 2026 error -1 reading relation 272631619
  91. Tue Aug 4 10:09:37 2026 error -1 reading relation 273052122
  92. Tue Aug 4 10:09:48 2026 error -1 reading relation 280911842
  93. Tue Aug 4 10:09:53 2026 error -1 reading relation 285569858
  94. Tue Aug 4 10:09:56 2026 error -1 reading relation 287411626
  95. Tue Aug 4 10:09:57 2026 error -1 reading relation 287811358
  96. Tue Aug 4 10:09:57 2026 error -1 reading relation 288288055
  97. Tue Aug 4 10:09:59 2026 error -1 reading relation 289487836
  98. Tue Aug 4 10:09:59 2026 error -1 reading relation 289833103
  99. Tue Aug 4 10:10:05 2026 error -1 reading relation 295251673
  100. Tue Aug 4 10:10:05 2026 error -1 reading relation 295713853
  101. Tue Aug 4 10:10:06 2026 error -1 reading relation 296560082
  102. Tue Aug 4 10:10:07 2026 error -1 reading relation 297432167
  103. Tue Aug 4 10:10:08 2026 error -1 reading relation 298180046
  104. Tue Aug 4 10:10:14 2026 error -1 reading relation 302064359
  105. Tue Aug 4 10:10:15 2026 error -1 reading relation 303001391
  106. Tue Aug 4 10:10:16 2026 error -1 reading relation 303262116
  107. Tue Aug 4 10:10:17 2026 error -1 reading relation 303872706
  108. Tue Aug 4 10:10:19 2026 error -1 reading relation 305337448
  109. Tue Aug 4 10:10:20 2026 error -1 reading relation 306050466
  110. Tue Aug 4 10:10:21 2026 error -1 reading relation 308111934
  111. Tue Aug 4 10:10:24 2026 error -1 reading relation 309484145
  112. Tue Aug 4 10:10:33 2026 error -1 reading relation 313320561
  113. Tue Aug 4 10:10:35 2026 error -1 reading relation 313882682
  114. Tue Aug 4 10:10:39 2026 error -1 reading relation 315610101
  115. Tue Aug 4 10:10:42 2026 error -1 reading relation 317322213
  116. Tue Aug 4 10:10:44 2026 error -1 reading relation 318704881
  117. Tue Aug 4 10:10:48 2026 error -1 reading relation 321132214
  118. Tue Aug 4 10:10:51 2026 error -1 reading relation 322831634
  119. Tue Aug 4 10:10:52 2026 error -1 reading relation 323129378
  120. Tue Aug 4 10:11:20 2026 error -1 reading relation 336348843
  121. Tue Aug 4 10:11:20 2026 error -1 reading relation 336416055
  122. Tue Aug 4 10:11:23 2026 error -1 reading relation 337844931
  123. Tue Aug 4 10:11:32 2026 error -1 reading relation 342077478
  124. Tue Aug 4 10:11:35 2026 error -1 reading relation 343542656
  125. Tue Aug 4 10:11:35 2026 error -1 reading relation 343634224
  126. Tue Aug 4 10:11:39 2026 error -6 reading relation 345630798
  127. Tue Aug 4 10:11:40 2026 error -1 reading relation 345968174
  128. Tue Aug 4 10:11:42 2026 error -1 reading relation 347048068
  129. Tue Aug 4 10:11:43 2026 error -1 reading relation 347508429
  130. Tue Aug 4 10:11:48 2026 error -1 reading relation 350155222
  131. Tue Aug 4 10:12:06 2026 error -1 reading relation 360276321
  132. Tue Aug 4 10:12:11 2026 error -1 reading relation 362051011
  133. Tue Aug 4 10:12:18 2026 error -1 reading relation 365868045
  134. Tue Aug 4 10:12:28 2026 error -1 reading relation 370653093
  135. Tue Aug 4 10:12:31 2026 error -1 reading relation 371743873
  136. Tue Aug 4 10:12:36 2026 error -1 reading relation 373585760
  137. Tue Aug 4 10:12:54 2026 error -1 reading relation 380588823
  138. Tue Aug 4 10:13:29 2026 error -1 reading relation 400927308
  139. Tue Aug 4 10:13:29 2026 error -1 reading relation 401190210
  140. Tue Aug 4 10:13:51 2026 error -1 reading relation 411864921
  141. Tue Aug 4 10:14:00 2026 error -1 reading relation 417108630
  142. Tue Aug 4 10:14:04 2026 error -1 reading relation 419696946
  143. Tue Aug 4 10:14:06 2026 error -1 reading relation 421438513
  144. Tue Aug 4 10:14:08 2026 error -11 reading relation 422408416
  145. Tue Aug 4 10:14:08 2026 error -1 reading relation 422453846
  146. Tue Aug 4 10:14:10 2026 error -1 reading relation 423722817
  147. Tue Aug 4 10:14:11 2026 error -1 reading relation 424487895
  148. Tue Aug 4 10:14:12 2026 error -1 reading relation 425181599
  149. Tue Aug 4 10:14:16 2026 error -1 reading relation 427994312
  150. Tue Aug 4 10:14:18 2026 error -1 reading relation 428828801
  151. Tue Aug 4 10:14:23 2026 error -1 reading relation 432368044
  152. Tue Aug 4 10:14:24 2026 error -1 reading relation 432429650
  153. Tue Aug 4 10:14:27 2026 error -1 reading relation 433977659
  154. Tue Aug 4 10:14:27 2026 error -1 reading relation 434157125
  155. Tue Aug 4 10:14:32 2026 error -1 reading relation 438752365
  156. Tue Aug 4 10:14:37 2026 error -1 reading relation 442091107
  157. Tue Aug 4 10:14:40 2026 error -1 reading relation 443529611
  158. Tue Aug 4 10:14:42 2026 error -1 reading relation 444475862
  159. Tue Aug 4 10:14:43 2026 error -1 reading relation 444666229
  160. Tue Aug 4 10:14:44 2026 error -1 reading relation 444762022
  161. Tue Aug 4 10:14:49 2026 error -1 reading relation 446526683
  162. Tue Aug 4 10:14:53 2026 error -1 reading relation 448375776
  163. Tue Aug 4 10:14:53 2026 error -1 reading relation 448457226
  164. Tue Aug 4 10:14:56 2026 error -1 reading relation 450483767
  165. Tue Aug 4 10:14:56 2026 error -1 reading relation 450688788
  166. Tue Aug 4 10:14:57 2026 error -1 reading relation 450841672
  167. Tue Aug 4 10:15:01 2026 error -1 reading relation 455002623
  168. Tue Aug 4 10:15:03 2026 error -1 reading relation 459068938
  169. Tue Aug 4 10:15:05 2026 error -1 reading relation 460709917
  170. Tue Aug 4 10:15:05 2026 error -1 reading relation 461617940
  171. Tue Aug 4 10:15:06 2026 error -1 reading relation 462090176
  172. Tue Aug 4 10:15:09 2026 error -1 reading relation 465170297
  173. Tue Aug 4 10:15:10 2026 error -1 reading relation 466999347
  174. Tue Aug 4 10:15:12 2026 error -1 reading relation 468255208
  175. Tue Aug 4 10:15:12 2026 error -1 reading relation 468258329
  176. Tue Aug 4 10:15:13 2026 error -1 reading relation 470046938
  177. Tue Aug 4 10:15:17 2026 error -1 reading relation 474126008
  178. Tue Aug 4 10:15:19 2026 error -1 reading relation 475449169
  179. Tue Aug 4 10:15:20 2026 error -1 reading relation 476830510
  180. Tue Aug 4 10:15:21 2026 error -1 reading relation 477296984
  181. Tue Aug 4 10:15:22 2026 error -1 reading relation 478653671
  182. Tue Aug 4 10:15:22 2026 error -1 reading relation 478667252
  183. Tue Aug 4 10:15:23 2026 error -1 reading relation 478861922
  184. Tue Aug 4 10:15:23 2026 error -1 reading relation 479082031
  185. Tue Aug 4 10:15:27 2026 error -1 reading relation 482702761
  186. Tue Aug 4 10:15:27 2026 error -1 reading relation 482703224
  187. Tue Aug 4 10:15:38 2026 error -1 reading relation 493251788
  188. Tue Aug 4 10:15:44 2026 error -1 reading relation 498304976
  189. Tue Aug 4 10:15:47 2026 error -1 reading relation 500855213
  190. Tue Aug 4 10:15:48 2026 error -1 reading relation 501687165
  191. Tue Aug 4 10:15:51 2026 error -1 reading relation 504533581
  192. Tue Aug 4 10:15:52 2026 error -1 reading relation 505947717
  193. Tue Aug 4 10:16:04 2026 error -1 reading relation 517138487
  194. Tue Aug 4 10:16:05 2026 error -1 reading relation 518851677
  195. Tue Aug 4 10:16:07 2026 error -1 reading relation 520638860
  196. Tue Aug 4 10:16:08 2026 error -1 reading relation 521234147
  197. Tue Aug 4 10:16:11 2026 error -1 reading relation 524752131
  198. Tue Aug 4 10:16:18 2026 error -1 reading relation 531310551
  199. Tue Aug 4 10:16:22 2026 error -1 reading relation 535183474
  200. Tue Aug 4 10:16:26 2026 error -1 reading relation 539510046
  201. Tue Aug 4 10:16:30 2026 error -1 reading relation 543844498
  202. Tue Aug 4 10:16:34 2026 error -1 reading relation 548960678
  203. Tue Aug 4 10:16:41 2026 error -1 reading relation 556117190
  204. Tue Aug 4 10:16:41 2026 error -1 reading relation 556399063
  205. Tue Aug 4 10:16:59 2026 error -1 reading relation 575675092
  206. Tue Aug 4 10:17:03 2026 error -1 reading relation 579845853
  207. Tue Aug 4 10:17:05 2026 error -1 reading relation 582464489
  208. Tue Aug 4 10:17:05 2026 error -1 reading relation 582481201
  209. Tue Aug 4 10:17:06 2026 error -1 reading relation 583265018
  210. Tue Aug 4 10:17:06 2026 error -1 reading relation 583525574
  211. Tue Aug 4 10:17:06 2026 error -1 reading relation 584481855
  212. Tue Aug 4 10:17:09 2026 error -1 reading relation 587321059
  213. Tue Aug 4 10:17:15 2026 error -1 reading relation 594519947
  214. Tue Aug 4 10:17:18 2026 error -1 reading relation 598476437
  215. Tue Aug 4 10:17:22 2026 error -1 reading relation 602675302
  216. Tue Aug 4 10:17:23 2026 error -1 reading relation 603552607
  217. Tue Aug 4 10:17:29 2026 error -1 reading relation 610999212
  218. Tue Aug 4 10:17:30 2026 error -15 reading relation 612808008
  219. Tue Aug 4 10:17:38 2026 error -1 reading relation 622444071
  220. Tue Aug 4 10:17:39 2026 error -1 reading relation 623079291
  221. Tue Aug 4 10:17:41 2026 error -1 reading relation 624905771
  222. Tue Aug 4 10:17:43 2026 error -1 reading relation 626900209
  223. Tue Aug 4 10:17:43 2026 error -1 reading relation 627593712
  224. Tue Aug 4 10:17:44 2026 error -1 reading relation 628334409
  225. Tue Aug 4 10:17:45 2026 error -1 reading relation 629234457
  226. Tue Aug 4 10:17:46 2026 error -1 reading relation 630577946
  227. Tue Aug 4 10:17:49 2026 error -1 reading relation 633461724
  228. Tue Aug 4 10:17:50 2026 error -1 reading relation 634723285
  229. Tue Aug 4 10:17:50 2026 error -1 reading relation 635059739
  230. Tue Aug 4 10:17:51 2026 error -1 reading relation 635618788
  231. Tue Aug 4 10:17:59 2026 error -1 reading relation 644950345
  232. Tue Aug 4 10:17:59 2026 error -1 reading relation 645239456
  233. Tue Aug 4 10:18:00 2026 error -1 reading relation 645415304
  234. Tue Aug 4 10:18:01 2026 error -1 reading relation 647152158
  235. Tue Aug 4 10:18:03 2026 error -1 reading relation 648577984
  236. Tue Aug 4 10:18:03 2026 error -1 reading relation 648582869
  237. Tue Aug 4 10:18:04 2026 error -1 reading relation 649761254
  238. Tue Aug 4 10:18:05 2026 error -1 reading relation 651343943
  239. Tue Aug 4 10:18:05 2026 error -1 reading relation 651344293
  240. Tue Aug 4 10:18:06 2026 error -1 reading relation 651735411
  241. Tue Aug 4 10:18:07 2026 error -1 reading relation 652863239
  242. Tue Aug 4 10:18:08 2026 error -1 reading relation 653394671
  243. Tue Aug 4 10:18:09 2026 skipped 1859 malformed relations
  244. Tue Aug 4 10:18:09 2026 found 154009666 hash collisions in 655712675 relations
  245. Tue Aug 4 10:18:22 2026 added 121475 free relations
  246. Tue Aug 4 10:18:22 2026 commencing duplicate removal, pass 2
  247. Tue Aug 4 10:24:48 2026 found 171513033 duplicates and 484321117 unique relations
  248. Tue Aug 4 10:24:48 2026 memory use: 3411.0 MB
  249. Tue Aug 4 10:24:48 2026 reading ideals above 499974144
  250. Tue Aug 4 10:24:48 2026 commencing singleton removal, initial pass
  251. Tue Aug 4 10:37:33 2026 memory use: 11024.0 MB
  252. Tue Aug 4 10:37:33 2026 reading all ideals from disk
  253. Tue Aug 4 10:37:41 2026 memory use: 11979.5 MB
  254. Tue Aug 4 10:37:54 2026 commencing in-memory singleton removal
  255. Tue Aug 4 10:37:57 2026 begin with 484321117 relations and 423919542 unique ideals
  256. Tue Aug 4 10:38:20 2026 reduce to 282072992 relations and 199014364 ideals in 16 passes
  257. Tue Aug 4 10:38:20 2026 max relations containing the same ideal: 29
  258. Tue Aug 4 10:38:25 2026 reading ideals above 720000
  259. Tue Aug 4 10:38:25 2026 commencing singleton removal, initial pass
  260. Tue Aug 4 10:53:51 2026 memory use: 6024.0 MB
  261. Tue Aug 4 10:53:51 2026 reading all ideals from disk
  262. Tue Aug 4 10:54:11 2026 memory use: 14318.0 MB
  263. Tue Aug 4 10:54:29 2026 keeping 250229748 ideals with weight <= 200, target excess is 1455710
  264. Tue Aug 4 10:54:53 2026 commencing in-memory singleton removal
  265. Tue Aug 4 10:54:57 2026 begin with 282072992 relations and 250229748 unique ideals
  266. Tue Aug 4 10:55:25 2026 reduce to 281646939 relations and 249803575 ideals in 13 passes
  267. Tue Aug 4 10:55:25 2026 max relations containing the same ideal: 200
  268. Tue Aug 4 10:56:49 2026 removing 16000039 relations and 14000039 ideals in 2000000 cliques
  269. Tue Aug 4 10:56:54 2026 commencing in-memory singleton removal
  270. Tue Aug 4 10:56:57 2026 begin with 265646900 relations and 249803575 unique ideals
  271. Tue Aug 4 10:57:16 2026 reduce to 264922980 relations and 235072476 ideals in 9 passes
  272. Tue Aug 4 10:57:16 2026 max relations containing the same ideal: 199
  273. Tue Aug 4 10:58:30 2026 removing 12053041 relations and 10053041 ideals in 2000000 cliques
  274. Tue Aug 4 10:58:35 2026 commencing in-memory singleton removal
  275. Tue Aug 4 10:58:38 2026 begin with 252869939 relations and 235072476 unique ideals
  276. Tue Aug 4 10:58:57 2026 reduce to 252413995 relations and 224559644 ideals in 9 passes
  277. Tue Aug 4 10:58:57 2026 max relations containing the same ideal: 196
  278. Tue Aug 4 11:00:07 2026 removing 10818803 relations and 8818803 ideals in 2000000 cliques
  279. Tue Aug 4 11:00:11 2026 commencing in-memory singleton removal
  280. Tue Aug 4 11:00:15 2026 begin with 241595192 relations and 224559644 unique ideals
  281. Tue Aug 4 11:00:32 2026 reduce to 241206264 relations and 215348874 ideals in 9 passes
  282. Tue Aug 4 11:00:32 2026 max relations containing the same ideal: 191
  283. Tue Aug 4 11:01:39 2026 removing 10152037 relations and 8152037 ideals in 2000000 cliques
  284. Tue Aug 4 11:01:43 2026 commencing in-memory singleton removal
  285. Tue Aug 4 11:01:46 2026 begin with 231054227 relations and 215348874 unique ideals
  286. Tue Aug 4 11:01:59 2026 reduce to 230693307 relations and 206833014 ideals in 7 passes
  287. Tue Aug 4 11:01:59 2026 max relations containing the same ideal: 186
  288. Tue Aug 4 11:03:05 2026 removing 9725564 relations and 7725565 ideals in 2000000 cliques
  289. Tue Aug 4 11:03:09 2026 commencing in-memory singleton removal
  290. Tue Aug 4 11:03:11 2026 begin with 220967743 relations and 206833014 unique ideals
  291. Tue Aug 4 11:03:25 2026 reduce to 220621335 relations and 198758194 ideals in 8 passes
  292. Tue Aug 4 11:03:25 2026 max relations containing the same ideal: 182
  293. Tue Aug 4 11:04:29 2026 removing 9428886 relations and 7428886 ideals in 2000000 cliques
  294. Tue Aug 4 11:04:33 2026 commencing in-memory singleton removal
  295. Tue Aug 4 11:04:35 2026 begin with 211192449 relations and 198758194 unique ideals
  296. Tue Aug 4 11:04:47 2026 reduce to 210854252 relations and 190988322 ideals in 8 passes
  297. Tue Aug 4 11:04:47 2026 max relations containing the same ideal: 178
  298. Tue Aug 4 11:05:49 2026 removing 9209800 relations and 7209800 ideals in 2000000 cliques
  299. Tue Aug 4 11:05:52 2026 commencing in-memory singleton removal
  300. Tue Aug 4 11:05:55 2026 begin with 201644452 relations and 190988322 unique ideals
  301. Tue Aug 4 11:06:09 2026 reduce to 201307266 relations and 183438378 ideals in 9 passes
  302. Tue Aug 4 11:06:09 2026 max relations containing the same ideal: 170
  303. Tue Aug 4 11:07:05 2026 removing 9055443 relations and 7055443 ideals in 2000000 cliques
  304. Tue Aug 4 11:07:09 2026 commencing in-memory singleton removal
  305. Tue Aug 4 11:07:11 2026 begin with 192251823 relations and 183438378 unique ideals
  306. Tue Aug 4 11:07:20 2026 reduce to 191911988 relations and 176040102 ideals in 7 passes
  307. Tue Aug 4 11:07:20 2026 max relations containing the same ideal: 165
  308. Tue Aug 4 11:08:15 2026 removing 8941245 relations and 6941245 ideals in 2000000 cliques
  309. Tue Aug 4 11:08:19 2026 commencing in-memory singleton removal
  310. Tue Aug 4 11:08:20 2026 begin with 182970743 relations and 176040102 unique ideals
  311. Tue Aug 4 11:08:31 2026 reduce to 182623084 relations and 168747947 ideals in 8 passes
  312. Tue Aug 4 11:08:31 2026 max relations containing the same ideal: 160
  313. Tue Aug 4 11:09:22 2026 removing 8867236 relations and 6867236 ideals in 2000000 cliques
  314. Tue Aug 4 11:09:25 2026 commencing in-memory singleton removal
  315. Tue Aug 4 11:09:27 2026 begin with 173755848 relations and 168747947 unique ideals
  316. Tue Aug 4 11:09:38 2026 reduce to 173400061 relations and 161521441 ideals in 8 passes
  317. Tue Aug 4 11:09:38 2026 max relations containing the same ideal: 156
  318. Tue Aug 4 11:10:27 2026 removing 8811521 relations and 6811521 ideals in 2000000 cliques
  319. Tue Aug 4 11:10:30 2026 commencing in-memory singleton removal
  320. Tue Aug 4 11:10:32 2026 begin with 164588540 relations and 161521441 unique ideals
  321. Tue Aug 4 11:10:42 2026 reduce to 164220766 relations and 154338421 ideals in 8 passes
  322. Tue Aug 4 11:10:42 2026 max relations containing the same ideal: 149
  323. Tue Aug 4 11:11:29 2026 removing 8781883 relations and 6781883 ideals in 2000000 cliques
  324. Tue Aug 4 11:11:32 2026 commencing in-memory singleton removal
  325. Tue Aug 4 11:11:34 2026 begin with 155438883 relations and 154338421 unique ideals
  326. Tue Aug 4 11:11:43 2026 reduce to 155053868 relations and 147167526 ideals in 7 passes
  327. Tue Aug 4 11:11:43 2026 max relations containing the same ideal: 145
  328. Tue Aug 4 11:12:27 2026 removing 8774083 relations and 6774083 ideals in 2000000 cliques
  329. Tue Aug 4 11:12:30 2026 commencing in-memory singleton removal
  330. Tue Aug 4 11:12:32 2026 begin with 146279785 relations and 147167526 unique ideals
  331. Tue Aug 4 11:12:39 2026 reduce to 145873420 relations and 139982675 ideals in 7 passes
  332. Tue Aug 4 11:12:39 2026 max relations containing the same ideal: 138
  333. Tue Aug 4 11:13:23 2026 removing 8781874 relations and 6781874 ideals in 2000000 cliques
  334. Tue Aug 4 11:13:26 2026 commencing in-memory singleton removal
  335. Tue Aug 4 11:13:28 2026 begin with 137091546 relations and 139982675 unique ideals
  336. Tue Aug 4 11:13:35 2026 reduce to 136659177 relations and 132763267 ideals in 8 passes
  337. Tue Aug 4 11:13:35 2026 max relations containing the same ideal: 133
  338. Tue Aug 4 11:14:17 2026 removing 8810342 relations and 6810342 ideals in 2000000 cliques
  339. Tue Aug 4 11:14:20 2026 commencing in-memory singleton removal
  340. Tue Aug 4 11:14:21 2026 begin with 127848835 relations and 132763267 unique ideals
  341. Tue Aug 4 11:14:29 2026 reduce to 127385343 relations and 125483535 ideals in 8 passes
  342. Tue Aug 4 11:14:29 2026 max relations containing the same ideal: 126
  343. Tue Aug 4 11:15:07 2026 removing 1376952 relations and 1163768 ideals in 213184 cliques
  344. Tue Aug 4 11:15:08 2026 commencing in-memory singleton removal
  345. Tue Aug 4 11:15:10 2026 begin with 126008391 relations and 125483535 unique ideals
  346. Tue Aug 4 11:15:17 2026 reduce to 125998050 relations and 124309414 ideals in 7 passes
  347. Tue Aug 4 11:15:17 2026 max relations containing the same ideal: 125
  348. Tue Aug 4 11:15:19 2026 trying target density 70
  349. Tue Aug 4 11:15:30 2026 relations with 0 large ideals: 5310
  350. Tue Aug 4 11:15:30 2026 relations with 1 large ideals: 11932
  351. Tue Aug 4 11:15:30 2026 relations with 2 large ideals: 208089
  352. Tue Aug 4 11:15:30 2026 relations with 3 large ideals: 1647868
  353. Tue Aug 4 11:15:30 2026 relations with 4 large ideals: 7152518
  354. Tue Aug 4 11:15:30 2026 relations with 5 large ideals: 18798594
  355. Tue Aug 4 11:15:30 2026 relations with 6 large ideals: 31303521
  356. Tue Aug 4 11:15:30 2026 relations with 7+ large ideals: 66870218
  357. Tue Aug 4 11:15:30 2026 commencing 2-way merge
  358. Tue Aug 4 11:16:34 2026 reduce to 80088794 relation sets and 78400158 unique ideals
  359. Tue Aug 4 11:16:34 2026 commencing full merge
  360. Tue Aug 4 11:30:27 2026 memory use: 9021.3 MB
  361. Tue Aug 4 11:30:35 2026 found 44298977 cycles, need 44066358
  362. Tue Aug 4 11:30:47 2026 weight of 44066358 cycles is about 3084949166 (70.01/cycle)
  363. Tue Aug 4 11:30:47 2026 distribution of cycle lengths:
  364. Tue Aug 4 11:30:47 2026 1 relations: 6642624
  365. Tue Aug 4 11:30:47 2026 2 relations: 6122779
  366. Tue Aug 4 11:30:47 2026 3 relations: 5754249
  367. Tue Aug 4 11:30:47 2026 4 relations: 5153087
  368. Tue Aug 4 11:30:47 2026 5 relations: 4525992
  369. Tue Aug 4 11:30:47 2026 6 relations: 3931212
  370. Tue Aug 4 11:30:47 2026 7 relations: 3299762
  371. Tue Aug 4 11:30:47 2026 8 relations: 2637557
  372. Tue Aug 4 11:30:47 2026 9 relations: 2018138
  373. Tue Aug 4 11:30:47 2026 10+ relations: 3980958
  374. Tue Aug 4 11:30:47 2026 heaviest cycle: 17 relations
  375. Tue Aug 4 11:30:54 2026 commencing cycle optimization
  376. Tue Aug 4 11:31:50 2026 start with 210469711 relations
  377. Tue Aug 4 11:35:22 2026 pruned 4270962 relations
  378. Tue Aug 4 11:35:28 2026 memory use: 7325.1 MB
  379. Tue Aug 4 11:35:28 2026 distribution of cycle lengths:
  380. Tue Aug 4 11:35:28 2026 1 relations: 6642624
  381. Tue Aug 4 11:35:28 2026 2 relations: 6248128
  382. Tue Aug 4 11:35:28 2026 3 relations: 5937994
  383. Tue Aug 4 11:35:28 2026 4 relations: 5248935
  384. Tue Aug 4 11:35:28 2026 5 relations: 4614043
  385. Tue Aug 4 11:35:28 2026 6 relations: 3963263
  386. Tue Aug 4 11:35:28 2026 7 relations: 3302910
  387. Tue Aug 4 11:35:28 2026 8 relations: 2600700
  388. Tue Aug 4 11:35:28 2026 9 relations: 1958326
  389. Tue Aug 4 11:35:28 2026 10+ relations: 3549435
  390. Tue Aug 4 11:35:28 2026 heaviest cycle: 17 relations
  391. Tue Aug 4 11:36:35 2026 trying target density 80
  392. Tue Aug 4 11:36:45 2026 relations with 0 large ideals: 5310
  393. Tue Aug 4 11:36:45 2026 relations with 1 large ideals: 11932
  394. Tue Aug 4 11:36:45 2026 relations with 2 large ideals: 208089
  395. Tue Aug 4 11:36:45 2026 relations with 3 large ideals: 1647868
  396. Tue Aug 4 11:36:45 2026 relations with 4 large ideals: 7152518
  397. Tue Aug 4 11:36:45 2026 relations with 5 large ideals: 18798594
  398. Tue Aug 4 11:36:45 2026 relations with 6 large ideals: 31303521
  399. Tue Aug 4 11:36:45 2026 relations with 7+ large ideals: 66870218
  400. Tue Aug 4 11:36:45 2026 commencing 2-way merge
  401. Tue Aug 4 11:37:57 2026 reduce to 80088794 relation sets and 78400158 unique ideals
  402. Tue Aug 4 11:37:57 2026 commencing full merge
  403. Tue Aug 4 11:55:15 2026 memory use: 9177.0 MB
  404. Tue Aug 4 11:55:27 2026 found 42064129 cycles, need 41832358
  405. Tue Aug 4 11:55:43 2026 weight of 41832358 cycles is about 3346745648 (80.00/cycle)
  406. Tue Aug 4 11:55:43 2026 distribution of cycle lengths:
  407. Tue Aug 4 11:55:43 2026 1 relations: 5283947
  408. Tue Aug 4 11:55:43 2026 2 relations: 5034620
  409. Tue Aug 4 11:55:43 2026 3 relations: 4942203
  410. Tue Aug 4 11:55:43 2026 4 relations: 4475754
  411. Tue Aug 4 11:55:43 2026 5 relations: 4131423
  412. Tue Aug 4 11:55:43 2026 6 relations: 3632346
  413. Tue Aug 4 11:55:43 2026 7 relations: 3214649
  414. Tue Aug 4 11:55:43 2026 8 relations: 2731736
  415. Tue Aug 4 11:55:43 2026 9 relations: 2247580
  416. Tue Aug 4 11:55:43 2026 10+ relations: 6138100
  417. Tue Aug 4 11:55:44 2026 heaviest cycle: 20 relations
  418. Tue Aug 4 11:55:51 2026 commencing cycle optimization
  419. Tue Aug 4 11:56:55 2026 start with 228362062 relations
  420. Tue Aug 4 12:01:59 2026 pruned 5621064 relations
  421. Tue Aug 4 12:02:05 2026 memory use: 7531.5 MB
  422. Tue Aug 4 12:02:05 2026 distribution of cycle lengths:
  423. Tue Aug 4 12:02:05 2026 1 relations: 5283947
  424. Tue Aug 4 12:02:05 2026 2 relations: 5147760
  425. Tue Aug 4 12:02:05 2026 3 relations: 5114992
  426. Tue Aug 4 12:02:05 2026 4 relations: 4586267
  427. Tue Aug 4 12:02:05 2026 5 relations: 4233089
  428. Tue Aug 4 12:02:05 2026 6 relations: 3694482
  429. Tue Aug 4 12:02:05 2026 7 relations: 3252500
  430. Tue Aug 4 12:02:05 2026 8 relations: 2730730
  431. Tue Aug 4 12:02:05 2026 9 relations: 2220284
  432. Tue Aug 4 12:02:05 2026 10+ relations: 5568307
  433. Tue Aug 4 12:02:05 2026 heaviest cycle: 20 relations
  434. Tue Aug 4 12:03:19 2026 trying target density 90
  435. Tue Aug 4 12:03:29 2026 relations with 0 large ideals: 5310
  436. Tue Aug 4 12:03:29 2026 relations with 1 large ideals: 11932
  437. Tue Aug 4 12:03:29 2026 relations with 2 large ideals: 208089
  438. Tue Aug 4 12:03:29 2026 relations with 3 large ideals: 1647868
  439. Tue Aug 4 12:03:29 2026 relations with 4 large ideals: 7152518
  440. Tue Aug 4 12:03:29 2026 relations with 5 large ideals: 18798594
  441. Tue Aug 4 12:03:29 2026 relations with 6 large ideals: 31303521
  442. Tue Aug 4 12:03:29 2026 relations with 7+ large ideals: 66870218
  443. Tue Aug 4 12:03:29 2026 commencing 2-way merge
  444. Tue Aug 4 12:04:35 2026 reduce to 80088794 relation sets and 78400158 unique ideals
  445. Tue Aug 4 12:04:35 2026 commencing full merge
  446. Tue Aug 4 12:23:55 2026 memory use: 9320.7 MB
  447. Tue Aug 4 12:24:04 2026 found 40292330 cycles, need 40064358
  448. Tue Aug 4 12:24:14 2026 weight of 40064358 cycles is about 3606109404 (90.01/cycle)
  449. Tue Aug 4 12:24:14 2026 distribution of cycle lengths:
  450. Tue Aug 4 12:24:14 2026 1 relations: 4114733
  451. Tue Aug 4 12:24:14 2026 2 relations: 4255834
  452. Tue Aug 4 12:24:14 2026 3 relations: 4309699
  453. Tue Aug 4 12:24:14 2026 4 relations: 4022735
  454. Tue Aug 4 12:24:14 2026 5 relations: 3765413
  455. Tue Aug 4 12:24:14 2026 6 relations: 3413627
  456. Tue Aug 4 12:24:14 2026 7 relations: 3053331
  457. Tue Aug 4 12:24:14 2026 8 relations: 2711399
  458. Tue Aug 4 12:24:14 2026 9 relations: 2335611
  459. Tue Aug 4 12:24:14 2026 10+ relations: 8081976
  460. Tue Aug 4 12:24:14 2026 heaviest cycle: 22 relations
  461. Tue Aug 4 12:24:23 2026 commencing cycle optimization
  462. Tue Aug 4 12:25:23 2026 start with 245923995 relations
  463. Tue Aug 4 12:30:55 2026 pruned 7030903 relations
  464. Tue Aug 4 12:31:00 2026 memory use: 7734.0 MB
  465. Tue Aug 4 12:31:00 2026 distribution of cycle lengths:
  466. Tue Aug 4 12:31:00 2026 1 relations: 4114733
  467. Tue Aug 4 12:31:00 2026 2 relations: 4359025
  468. Tue Aug 4 12:31:00 2026 3 relations: 4475494
  469. Tue Aug 4 12:31:00 2026 4 relations: 4137157
  470. Tue Aug 4 12:31:00 2026 5 relations: 3881278
  471. Tue Aug 4 12:31:00 2026 6 relations: 3487637
  472. Tue Aug 4 12:31:00 2026 7 relations: 3117406
  473. Tue Aug 4 12:31:00 2026 8 relations: 2737117
  474. Tue Aug 4 12:31:00 2026 9 relations: 2337155
  475. Tue Aug 4 12:31:00 2026 10+ relations: 7417356
  476. Tue Aug 4 12:31:00 2026 heaviest cycle: 22 relations
  477. Tue Aug 4 12:32:04 2026 trying target density 110
  478. Tue Aug 4 12:32:15 2026 relations with 0 large ideals: 5310
  479. Tue Aug 4 12:32:15 2026 relations with 1 large ideals: 11932
  480. Tue Aug 4 12:32:15 2026 relations with 2 large ideals: 208089
  481. Tue Aug 4 12:32:15 2026 relations with 3 large ideals: 1647868
  482. Tue Aug 4 12:32:15 2026 relations with 4 large ideals: 7152518
  483. Tue Aug 4 12:32:15 2026 relations with 5 large ideals: 18798594
  484. Tue Aug 4 12:32:15 2026 relations with 6 large ideals: 31303521
  485. Tue Aug 4 12:32:15 2026 relations with 7+ large ideals: 66870218
  486. Tue Aug 4 12:32:15 2026 commencing 2-way merge
  487. Tue Aug 4 12:33:33 2026 reduce to 80088794 relation sets and 78400158 unique ideals
  488. Tue Aug 4 12:33:33 2026 commencing full merge
  489. Tue Aug 4 12:56:15 2026 memory use: 9585.4 MB
  490. Tue Aug 4 12:56:26 2026 found 37548351 cycles, need 37370358
  491. Tue Aug 4 12:56:32 2026 weight of 37370358 cycles is about 4111201945 (110.01/cycle)
  492. Tue Aug 4 12:56:33 2026 distribution of cycle lengths:
  493. Tue Aug 4 12:56:33 2026 1 relations: 2787269
  494. Tue Aug 4 12:56:33 2026 2 relations: 3201230
  495. Tue Aug 4 12:56:33 2026 3 relations: 3342708
  496. Tue Aug 4 12:56:33 2026 4 relations: 3203064
  497. Tue Aug 4 12:56:33 2026 5 relations: 3093726
  498. Tue Aug 4 12:56:33 2026 6 relations: 2863572
  499. Tue Aug 4 12:56:33 2026 7 relations: 2710327
  500. Tue Aug 4 12:56:33 2026 8 relations: 2486541
  501. Tue Aug 4 12:56:33 2026 9 relations: 2248876
  502. Tue Aug 4 12:56:33 2026 10+ relations: 11433045
  503. Tue Aug 4 12:56:33 2026 heaviest cycle: 27 relations
  504. Tue Aug 4 12:56:39 2026 commencing cycle optimization
  505. Tue Aug 4 12:57:43 2026 start with 279555903 relations
  506. Tue Aug 4 13:05:42 2026 pruned 9915218 relations
  507. Tue Aug 4 13:05:48 2026 memory use: 8091.3 MB
  508. Tue Aug 4 13:05:48 2026 distribution of cycle lengths:
  509. Tue Aug 4 13:05:48 2026 1 relations: 2787269
  510. Tue Aug 4 13:05:48 2026 2 relations: 3283063
  511. Tue Aug 4 13:05:48 2026 3 relations: 3481721
  512. Tue Aug 4 13:05:48 2026 4 relations: 3313273
  513. Tue Aug 4 13:05:48 2026 5 relations: 3211031
  514. Tue Aug 4 13:05:48 2026 6 relations: 2958575
  515. Tue Aug 4 13:05:48 2026 7 relations: 2795902
  516. Tue Aug 4 13:05:48 2026 8 relations: 2548171
  517. Tue Aug 4 13:05:48 2026 9 relations: 2296333
  518. Tue Aug 4 13:05:48 2026 10+ relations: 10695020
  519. Tue Aug 4 13:05:48 2026 heaviest cycle: 27 relations
  520. Tue Aug 4 13:06:57 2026 RelProcTime: 11113
  521. Tue Aug 4 13:06:57 2026
  522. Tue Aug 4 13:06:57 2026 commencing linear algebra
  523. Tue Aug 4 13:06:57 2026 using VBITS=256
  524. Tue Aug 4 13:06:57 2026 building matrices for all densities
  525. Tue Aug 4 13:06:57 2026 found 4 density files
  526. Tue Aug 4 13:06:57 2026 building matrix for density 70
  527. Tue Aug 4 13:07:14 2026 read 44066358 cycles
  528. Tue Aug 4 13:08:00 2026 cycles contain 124984655 unique relations
  529. Tue Aug 4 13:20:02 2026 read 124984655 relations
  530. Tue Aug 4 13:20:35 2026 using 20 quadratic characters above 4294917295
  531. Tue Aug 4 13:21:04 2026 building initial matrix
  532. Tue Aug 4 13:37:53 2026 memory use: 18168.4 MB
  533. Tue Aug 4 13:38:15 2026 read 44066358 cycles
  534. Tue Aug 4 13:38:20 2026 matrix is 44066179 x 44066358 (13494.1 MB) with weight 4200914504 (95.33/col)
  535. Tue Aug 4 13:38:20 2026 sparse part has weight 3008595551 (68.27/col)
  536. Tue Aug 4 13:42:48 2026 filtering completed in 2 passes
  537. Tue Aug 4 13:42:56 2026 matrix is 44054993 x 44055172 (13493.3 MB) with weight 4200573952 (95.35/col)
  538. Tue Aug 4 13:42:56 2026 sparse part has weight 3008538511 (68.29/col)
  539. Tue Aug 4 13:44:10 2026 building matrix for density 80
  540. Tue Aug 4 13:44:13 2026 read 41832358 cycles
  541. Tue Aug 4 13:44:54 2026 cycles contain 125011196 unique relations
  542. Tue Aug 4 17:13:07 2026
  543. Tue Aug 4 17:13:07 2026
  544. Tue Aug 4 17:13:07 2026 Msieve v. 1.54 (SVN unknown)
  545. Tue Aug 4 17:13:07 2026 random seeds: aa4a7a66 f84129ce
  546. Tue Aug 4 17:13:07 2026 Using 8 OpenMP threads
  547. Tue Aug 4 17:13:07 2026 factoring 70340270798142371007920476149431054952728372079474441671753993028436552736474423241791409820721592029254859402425208458177898635638149530281010171553646304056605616662520456616685840254794572201 (194 digits)
  548. Tue Aug 4 17:13:08 2026 no P-1/P+1/ECM available, skipping
  549. Tue Aug 4 17:13:08 2026 commencing number field sieve (194-digit input)
  550. Tue Aug 4 17:13:08 2026 R0: -44224589878561369527586801387980164515
  551. Tue Aug 4 17:13:08 2026 R1: 172198978583542731529889
  552. Tue Aug 4 17:13:08 2026 A0: 20504347725867737997554858903501128657990509072
  553. Tue Aug 4 17:13:08 2026 A1: -632464580317268901634486794291609533780
  554. Tue Aug 4 17:13:08 2026 A2: -57518111705726597145148849967751
  555. Tue Aug 4 17:13:08 2026 A3: -45391299288855245425450
  556. Tue Aug 4 17:13:08 2026 A4: 354317242996092
  557. Tue Aug 4 17:13:08 2026 A5: 1247400
  558. Tue Aug 4 17:13:08 2026 skew 199566241.60, size 6.037e-19, alpha -8.387, combined = 1.283e-14 rroots = 3
  559. Tue Aug 4 17:13:08 2026
  560. Tue Aug 4 17:13:08 2026 commencing linear algebra
  561. Tue Aug 4 17:13:08 2026 using VBITS=256
  562. Tue Aug 4 17:13:08 2026 building matrices for all densities
  563. Tue Aug 4 17:13:08 2026 found 4 density files
  564. Tue Aug 4 17:13:08 2026 building matrix for density 70
  565. Tue Aug 4 17:13:10 2026 read 44055172 cycles
  566. Tue Aug 4 17:13:48 2026 cycles contain 124984226 unique relations
  567. Tue Aug 4 17:16:37 2026 read 124984226 relations
  568. Tue Aug 4 17:17:10 2026 using 20 quadratic characters above 4294917295
  569. Tue Aug 4 17:17:50 2026 building initial matrix
  570. Tue Aug 4 17:32:27 2026 memory use: 18168.0 MB
  571. Tue Aug 4 17:32:36 2026 read 44055172 cycles
  572. Tue Aug 4 17:32:39 2026 matrix is 44054993 x 44055172 (13493.3 MB) with weight 4200573952 (95.35/col)
  573. Tue Aug 4 17:32:39 2026 sparse part has weight 3008538511 (68.29/col)
  574. Tue Aug 4 17:34:23 2026 filtering completed in 1 passes
  575. Tue Aug 4 17:34:24 2026 matrix is 44054993 x 44055172 (13493.3 MB) with weight 4200573952 (95.35/col)
  576. Tue Aug 4 17:34:24 2026 sparse part has weight 3008538511 (68.29/col)
  577. Tue Aug 4 17:35:04 2026 building matrix for density 80
  578. Tue Aug 4 17:35:08 2026 read 41832358 cycles
  579. Tue Aug 4 17:35:48 2026 cycles contain 125011196 unique relations
  580. Tue Aug 4 17:38:17 2026 read 125011196 relations
  581. Tue Aug 4 17:38:54 2026 using 20 quadratic characters above 4294917295
  582. Tue Aug 4 17:39:36 2026 building initial matrix
  583. Tue Aug 4 17:55:30 2026 memory use: 18166.6 MB
  584. Tue Aug 4 17:55:39 2026 read 41832358 cycles
  585. Tue Aug 4 17:55:43 2026 matrix is 41832179 x 41832358 (14268.2 MB) with weight 4421176494 (105.69/col)
  586. Tue Aug 4 17:55:43 2026 sparse part has weight 3238343252 (77.41/col)
  587. Tue Aug 4 18:00:10 2026 filtering completed in 2 passes
  588. Tue Aug 4 18:00:18 2026 matrix is 41824627 x 41824806 (14267.7 MB) with weight 4420925930 (105.70/col)
  589. Tue Aug 4 18:00:18 2026 sparse part has weight 3238298513 (77.43/col)
  590. Tue Aug 4 18:01:17 2026 building matrix for density 90
  591. Tue Aug 4 18:01:20 2026 read 40064358 cycles
  592. Tue Aug 4 18:02:02 2026 cycles contain 125024619 unique relations
  593. Tue Aug 4 18:04:28 2026 read 125024619 relations
  594. Tue Aug 4 18:05:08 2026 using 20 quadratic characters above 4294917295
  595. Tue Aug 4 18:05:49 2026 building initial matrix
  596. Tue Aug 4 18:23:03 2026 memory use: 17550.8 MB
  597. Tue Aug 4 18:23:14 2026 read 40064358 cycles
  598. Tue Aug 4 18:23:18 2026 matrix is 40064180 x 40064358 (15052.6 MB) with weight 4643166010 (115.89/col)
  599. Tue Aug 4 18:23:18 2026 sparse part has weight 3465175867 (86.49/col)
  600. Tue Aug 4 18:28:11 2026 filtering completed in 2 passes
  601. Tue Aug 4 18:28:19 2026 matrix is 40058770 x 40058948 (15052.2 MB) with weight 4642972056 (115.90/col)
  602. Tue Aug 4 18:28:19 2026 sparse part has weight 3465138621 (86.50/col)
  603. Tue Aug 4 18:29:18 2026 building matrix for density 110
  604. Tue Aug 4 18:29:20 2026 read 37370358 cycles
  605. Tue Aug 4 18:30:04 2026 cycles contain 125040328 unique relations
  606. Tue Aug 4 18:32:24 2026 read 125040328 relations
  607. Tue Aug 4 18:33:05 2026 using 20 quadratic characters above 4294917295
  608. Tue Aug 4 18:33:45 2026 building initial matrix
  609. Tue Aug 4 18:51:56 2026 memory use: 17587.8 MB
  610. Tue Aug 4 18:52:06 2026 read 37370358 cycles
  611. Tue Aug 4 18:52:10 2026 matrix is 37370178 x 37370358 (16575.9 MB) with weight 5067449519 (135.60/col)
  612. Tue Aug 4 18:52:10 2026 sparse part has weight 3896832329 (104.28/col)
  613. Tue Aug 4 18:56:10 2026 filtering completed in 2 passes
  614. Tue Aug 4 18:56:18 2026 matrix is 37367724 x 37367904 (16575.7 MB) with weight 5067346438 (135.61/col)
  615. Tue Aug 4 18:56:18 2026 sparse part has weight 3896808509 (104.28/col)
  616. Tue Aug 4 18:57:31 2026 BLanczosTime: 6263
  617. Tue Aug 4 18:57:31 2026 elapsed time 01:44:24
  618. Wed Aug 5 01:07:31 2026
  619. Wed Aug 5 01:07:31 2026
  620. Wed Aug 5 01:07:31 2026 Msieve v. 1.54 (SVN unknown)
  621. Wed Aug 5 01:07:31 2026 random seeds: e8ddb1ee b464fa9e
  622. Wed Aug 5 01:07:31 2026 Using 8 OpenMP threads
  623. Wed Aug 5 01:07:31 2026 factoring 70340270798142371007920476149431054952728372079474441671753993028436552736474423241791409820721592029254859402425208458177898635638149530281010171553646304056605616662520456616685840254794572201 (194 digits)
  624. Wed Aug 5 01:07:32 2026 no P-1/P+1/ECM available, skipping
  625. Wed Aug 5 01:07:32 2026 commencing number field sieve (194-digit input)
  626. Wed Aug 5 01:07:32 2026 R0: -44224589878561369527586801387980164515
  627. Wed Aug 5 01:07:32 2026 R1: 172198978583542731529889
  628. Wed Aug 5 01:07:32 2026 A0: 20504347725867737997554858903501128657990509072
  629. Wed Aug 5 01:07:32 2026 A1: -632464580317268901634486794291609533780
  630. Wed Aug 5 01:07:32 2026 A2: -57518111705726597145148849967751
  631. Wed Aug 5 01:07:32 2026 A3: -45391299288855245425450
  632. Wed Aug 5 01:07:32 2026 A4: 354317242996092
  633. Wed Aug 5 01:07:32 2026 A5: 1247400
  634. Wed Aug 5 01:07:32 2026 skew 199566241.60, size 6.037e-19, alpha -8.387, combined = 1.283e-14 rroots = 3
  635. Wed Aug 5 01:07:32 2026
  636. Wed Aug 5 01:07:32 2026 commencing linear algebra
  637. Wed Aug 5 01:07:32 2026 using VBITS=256
  638. Wed Aug 5 01:07:32 2026 skipping matrix build
  639. Wed Aug 5 01:07:55 2026
  640. Wed Aug 5 01:07:55 2026
  641. Wed Aug 5 01:07:55 2026 Msieve v. 1.54 (SVN unknown)
  642. Wed Aug 5 01:07:55 2026 random seeds: 84dfacf6 bd316a82
  643. Wed Aug 5 01:07:55 2026 Using 8 OpenMP threads
  644. Wed Aug 5 01:07:55 2026 factoring 70340270798142371007920476149431054952728372079474441671753993028436552736474423241791409820721592029254859402425208458177898635638149530281010171553646304056605616662520456616685840254794572201 (194 digits)
  645. Wed Aug 5 01:07:56 2026 no P-1/P+1/ECM available, skipping
  646. Wed Aug 5 01:07:56 2026 commencing number field sieve (194-digit input)
  647. Wed Aug 5 01:07:56 2026 R0: -44224589878561369527586801387980164515
  648. Wed Aug 5 01:07:56 2026 R1: 172198978583542731529889
  649. Wed Aug 5 01:07:56 2026 A0: 20504347725867737997554858903501128657990509072
  650. Wed Aug 5 01:07:56 2026 A1: -632464580317268901634486794291609533780
  651. Wed Aug 5 01:07:56 2026 A2: -57518111705726597145148849967751
  652. Wed Aug 5 01:07:56 2026 A3: -45391299288855245425450
  653. Wed Aug 5 01:07:56 2026 A4: 354317242996092
  654. Wed Aug 5 01:07:56 2026 A5: 1247400
  655. Wed Aug 5 01:07:56 2026 skew 199566241.60, size 6.037e-19, alpha -8.387, combined = 1.283e-14 rroots = 3
  656. Wed Aug 5 01:07:56 2026
  657. Wed Aug 5 01:07:56 2026 commencing linear algebra
  658. Wed Aug 5 01:07:56 2026 using VBITS=256
  659. Wed Aug 5 01:07:56 2026 skipping matrix build
  660. Wed Aug 5 01:08:11 2026 matrix starts at (0, 0)
  661. Wed Aug 5 01:08:18 2026 matrix is 37367724 x 37367904 (16575.7 MB) with weight 5067346438 (135.61/col)
  662. Wed Aug 5 01:08:18 2026 sparse part has weight 3896808509 (104.28/col)
  663. Wed Aug 5 01:08:18 2026 saving the first 240 matrix rows for later
  664. Wed Aug 5 01:08:29 2026 matrix includes 256 packed rows
  665. Wed Aug 5 01:08:41 2026 matrix is 37367484 x 37367904 (15173.2 MB) with weight 3591635161 (96.12/col)
  666. Wed Aug 5 01:08:41 2026 sparse part has weight 3379668286 (90.44/col)
  667. Wed Aug 5 01:08:41 2026 using GPU 0 (NVIDIA GeForce RTX 4090)
  668. Wed Aug 5 01:08:41 2026 selected card has CUDA arch 8.9
  669. Wed Aug 5 01:08:43 2026 computed block_nnz 128000000 (L2 cache 75497472 bytes, average column weight 90.4)
  670. Wed Aug 5 01:08:43 2026 nonzeros per matrix block: 384000000
  671. Wed Aug 5 01:18:45 2026 commencing Lanczos iteration
  672. Wed Aug 5 01:18:49 2026 memory use: 37616.2 MB
  673. Wed Aug 5 01:20:26 2026 linear algebra at 0.1%, ETA 31h 9m
  674. Wed Aug 5 01:20:56 2026 lanczos halted after 133 iterations (dim = 33950)
  675. Wed Aug 5 01:20:58 2026 BLanczosTime: 782
  676. Wed Aug 5 01:20:58 2026 elapsed time 00:13:03
  677. Wed Aug 5 01:21:49 2026
  678. Wed Aug 5 01:21:49 2026
  679. Wed Aug 5 01:21:49 2026 Msieve v. 1.54 (SVN unknown)
  680. Wed Aug 5 01:21:49 2026 random seeds: b4fcdbe0 fd2e3625
  681. Wed Aug 5 01:21:49 2026 Using 8 OpenMP threads
  682. Wed Aug 5 01:21:49 2026 factoring 70340270798142371007920476149431054952728372079474441671753993028436552736474423241791409820721592029254859402425208458177898635638149530281010171553646304056605616662520456616685840254794572201 (194 digits)
  683. Wed Aug 5 01:21:50 2026 no P-1/P+1/ECM available, skipping
  684. Wed Aug 5 01:21:50 2026 commencing number field sieve (194-digit input)
  685. Wed Aug 5 01:21:50 2026 R0: -44224589878561369527586801387980164515
  686. Wed Aug 5 01:21:50 2026 R1: 172198978583542731529889
  687. Wed Aug 5 01:21:50 2026 A0: 20504347725867737997554858903501128657990509072
  688. Wed Aug 5 01:21:50 2026 A1: -632464580317268901634486794291609533780
  689. Wed Aug 5 01:21:50 2026 A2: -57518111705726597145148849967751
  690. Wed Aug 5 01:21:50 2026 A3: -45391299288855245425450
  691. Wed Aug 5 01:21:50 2026 A4: 354317242996092
  692. Wed Aug 5 01:21:50 2026 A5: 1247400
  693. Wed Aug 5 01:21:50 2026 skew 199566241.60, size 6.037e-19, alpha -8.387, combined = 1.283e-14 rroots = 3
  694. Wed Aug 5 01:21:50 2026
  695. Wed Aug 5 01:21:50 2026 commencing linear algebra
  696. Wed Aug 5 01:21:50 2026 using VBITS=256
  697. Wed Aug 5 01:21:50 2026 skipping matrix build
  698. Wed Aug 5 01:22:17 2026 matrix starts at (0, 0)
  699. Wed Aug 5 01:22:25 2026 matrix is 37367724 x 37367904 (16575.7 MB) with weight 5067346438 (135.61/col)
  700. Wed Aug 5 01:22:25 2026 sparse part has weight 3896808509 (104.28/col)
  701. Wed Aug 5 01:22:25 2026 saving the first 240 matrix rows for later
  702. Wed Aug 5 01:22:42 2026 matrix includes 256 packed rows
  703. Wed Aug 5 01:22:57 2026 matrix is 37367484 x 37367904 (15173.2 MB) with weight 3591635161 (96.12/col)
  704. Wed Aug 5 01:22:57 2026 sparse part has weight 3379668286 (90.44/col)
  705. Wed Aug 5 01:22:57 2026 using GPU 0 (NVIDIA GeForce RTX 4090)
  706. Wed Aug 5 01:22:57 2026 selected card has CUDA arch 8.9
  707. Wed Aug 5 01:22:59 2026 computed block_nnz 128000000 (L2 cache 75497472 bytes, average column weight 90.4)
  708. Wed Aug 5 01:22:59 2026 nonzeros per matrix block: 256000000
  709. Wed Aug 5 01:35:48 2026 commencing Lanczos iteration
  710. Wed Aug 5 01:35:52 2026 memory use: 38899.2 MB
  711. Wed Aug 5 01:37:24 2026 linear algebra at 0.1%, ETA 29h48m
  712. Wed Aug 5 01:39:38 2026 checking every 20000 dimensions, checkpointing every 1260000 dimensions
  713. Thu Aug 6 07:28:13 2026 lanczos halted after 146404 iterations (dim = 37367484)
  714. Thu Aug 6 07:31:21 2026 recovered 33 nontrivial dependencies
  715. Thu Aug 6 07:31:22 2026 BLanczosTime: 108572
  716. Thu Aug 6 07:31:22 2026 elapsed time 30:09:33
  717. Thu Aug 6 07:29:06 2026
  718. Thu Aug 6 07:29:06 2026
  719. Thu Aug 6 07:29:06 2026 Msieve v. 1.54 (SVN unknown)
  720. Thu Aug 6 07:29:06 2026 random seeds: a91af66a 35c542fd
  721. Thu Aug 6 07:29:06 2026 Using 14 OpenMP threads
  722. Thu Aug 6 07:29:06 2026 factoring 70340270798142371007920476149431054952728372079474441671753993028436552736474423241791409820721592029254859402425208458177898635638149530281010171553646304056605616662520456616685840254794572201 (194 digits)
  723. Thu Aug 6 07:29:07 2026 no P-1/P+1/ECM available, skipping
  724. Thu Aug 6 07:29:07 2026 commencing number field sieve (194-digit input)
  725. Thu Aug 6 07:29:07 2026 R0: -44224589878561369527586801387980164515
  726. Thu Aug 6 07:29:07 2026 R1: 172198978583542731529889
  727. Thu Aug 6 07:29:07 2026 A0: 20504347725867737997554858903501128657990509072
  728. Thu Aug 6 07:29:07 2026 A1: -632464580317268901634486794291609533780
  729. Thu Aug 6 07:29:07 2026 A2: -57518111705726597145148849967751
  730. Thu Aug 6 07:29:07 2026 A3: -45391299288855245425450
  731. Thu Aug 6 07:29:07 2026 A4: 354317242996092
  732. Thu Aug 6 07:29:07 2026 A5: 1247400
  733. Thu Aug 6 07:29:07 2026 skew 199566241.60, size 6.037e-19, alpha -8.387, combined = 1.283e-14 rroots = 3
  734. Thu Aug 6 07:29:07 2026
  735. Thu Aug 6 07:29:07 2026 commencing square root phase
  736. Thu Aug 6 07:29:07 2026 reading relations for dependency 1
  737. Thu Aug 6 07:29:09 2026 read 18681593 cycles
  738. Thu Aug 6 07:29:30 2026 cycles contain 62510922 unique relations
  739. Thu Aug 6 07:32:04 2026 read 62510922 relations
  740. Thu Aug 6 07:35:18 2026 multiplying 62510922 relations
  741. Thu Aug 6 07:42:03 2026 multiply complete, coefficients have about 3841.52 million bits
  742. Thu Aug 6 07:42:09 2026 initial square root is modulo 413017349
  743. Thu Aug 6 07:54:50 2026 sqrtTime: 1543
  744. Thu Aug 6 07:54:50 2026 p88 factor: 8763648662473991689004708965083709703598715089206580552950692733900587473642256386711539
  745. Thu Aug 6 07:54:50 2026 p106 factor: 8026368183761169041252222369777501879235286773035868677563603050066584934617655975764148001369174338812659
  746. Thu Aug 6 07:54:50 2026 elapsed time 00:25:44
  747.  
Tags: math
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