kyleaskine

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Aug 6th, 2026
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  1. Thu Aug 6 12:03:18 2026
  2. Thu Aug 6 12:03:18 2026
  3. Thu Aug 6 12:03:18 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Aug 6 12:03:18 2026 random seeds: ace0e9e8 2f94400f
  5. Thu Aug 6 12:03:18 2026 Using 14 OpenMP threads
  6. Thu Aug 6 12:03:18 2026 factoring 1258680414199641158433144131230709362031731829285564623932689027502112332556090382651420922396292383596949545797768558390552407333519471673986341348855405946563985226713305169171071584330133 (190 digits)
  7. Thu Aug 6 12:03:18 2026 no P-1/P+1/ECM available, skipping
  8. Thu Aug 6 12:03:18 2026 commencing number field sieve (190-digit input)
  9. Thu Aug 6 12:03:18 2026 R0: -4325139291999919251932212590008308280
  10. Thu Aug 6 12:03:18 2026 R1: 138815699012286419492737
  11. Thu Aug 6 12:03:18 2026 A0: -4853344935862651640650081922044946865253753
  12. Thu Aug 6 12:03:18 2026 A1: -199165210526862826031951967615567791
  13. Thu Aug 6 12:03:18 2026 A2: -51561114176637000750996356936
  14. Thu Aug 6 12:03:18 2026 A3: 2852174425674055105919
  15. Thu Aug 6 12:03:18 2026 A4: 89647306377417
  16. Thu Aug 6 12:03:18 2026 A5: 2494800
  17. Thu Aug 6 12:03:18 2026 skew 18994355.94, size 1.874e-18, alpha -6.139, combined = 2.639e-14 rroots = 1
  18. Thu Aug 6 12:03:18 2026
  19. Thu Aug 6 12:03:18 2026 commencing relation filtering
  20. Thu Aug 6 12:03:18 2026 setting 3 target densities:Thu Aug 6 12:03:18 2026 90Thu Aug 6 12:03:18 2026 110Thu Aug 6 12:03:18 2026 130Thu Aug 6 12:03:18 2026
  21. Thu Aug 6 12:03:18 2026 estimated available RAM is 78540.1 MB
  22. Thu Aug 6 12:03:18 2026 commencing duplicate removal, pass 1
  23. Thu Aug 6 12:03:25 2026 error -1 reading relation 8197827
  24. Thu Aug 6 12:03:37 2026 error -1 reading relation 22206571
  25. Thu Aug 6 12:03:43 2026 error -1 reading relation 30166634
  26. Thu Aug 6 12:04:06 2026 error -1 reading relation 54703438
  27. Thu Aug 6 12:05:18 2026 error -1 reading relation 131280550
  28. Thu Aug 6 12:05:29 2026 error -1 reading relation 141260850
  29. Thu Aug 6 12:05:48 2026 error -1 reading relation 155057017
  30. Thu Aug 6 12:05:48 2026 error -1 reading relation 155537014
  31. Thu Aug 6 12:05:57 2026 error -1 reading relation 162026950
  32. Thu Aug 6 12:06:35 2026 error -5 reading relation 190668045
  33. Thu Aug 6 12:06:37 2026 error -1 reading relation 191924019
  34. Thu Aug 6 12:06:55 2026 error -1 reading relation 205639373
  35. Thu Aug 6 12:07:12 2026 error -1 reading relation 220239515
  36. Thu Aug 6 12:07:16 2026 error -1 reading relation 223138299
  37. Thu Aug 6 12:07:22 2026 error -15 reading relation 227343675
  38. Thu Aug 6 12:07:24 2026 error -1 reading relation 228722563
  39. Thu Aug 6 12:07:27 2026 error -1 reading relation 230935837
  40. Thu Aug 6 12:07:27 2026 error -1 reading relation 231141596
  41. Thu Aug 6 12:07:29 2026 error -1 reading relation 233852002
  42. Thu Aug 6 12:07:31 2026 error -1 reading relation 235142399
  43. Thu Aug 6 12:07:31 2026 error -1 reading relation 235251842
  44. Thu Aug 6 12:07:38 2026 error -1 reading relation 240848549
  45. Thu Aug 6 12:07:39 2026 error -15 reading relation 241899833
  46. Thu Aug 6 12:07:44 2026 error -1 reading relation 246324084
  47. Thu Aug 6 12:08:08 2026 error -1 reading relation 265792257
  48. Thu Aug 6 12:08:14 2026 error -1 reading relation 270715507
  49. Thu Aug 6 12:08:17 2026 error -1 reading relation 273524473
  50. Thu Aug 6 12:08:38 2026 error -1 reading relation 290930980
  51. Thu Aug 6 12:09:01 2026 error -1 reading relation 305569217
  52. Thu Aug 6 12:09:01 2026 error -11 reading relation 305569218
  53. Thu Aug 6 12:09:00 2026 error -1 reading relation 306188454
  54. Thu Aug 6 12:09:01 2026 error -15 reading relation 307027030
  55. Thu Aug 6 12:09:01 2026 error -1 reading relation 307027031
  56. Thu Aug 6 12:09:01 2026 error -1 reading relation 307224267
  57. Thu Aug 6 12:09:01 2026 error -15 reading relation 307268657
  58. Thu Aug 6 12:09:09 2026 error -1 reading relation 311881848
  59. Thu Aug 6 12:09:09 2026 error -1 reading relation 311954071
  60. Thu Aug 6 12:09:15 2026 error -1 reading relation 316215050
  61. Thu Aug 6 12:09:24 2026 error -1 reading relation 323220538
  62. Thu Aug 6 12:09:36 2026 error -1 reading relation 338303233
  63. Thu Aug 6 12:09:36 2026 error -1 reading relation 338747853
  64. Thu Aug 6 12:09:39 2026 error -1 reading relation 342051523
  65. Thu Aug 6 12:09:41 2026 error -1 reading relation 343947983
  66. Thu Aug 6 12:09:45 2026 error -1 reading relation 348638040
  67. Thu Aug 6 12:09:49 2026 error -1 reading relation 354328236
  68. Thu Aug 6 12:09:49 2026 error -1 reading relation 354372631
  69. Thu Aug 6 12:09:50 2026 error -1 reading relation 355179831
  70. Thu Aug 6 12:09:52 2026 error -1 reading relation 357947035
  71. Thu Aug 6 12:09:56 2026 error -1 reading relation 362250752
  72. Thu Aug 6 12:09:58 2026 error -1 reading relation 364233548
  73. Thu Aug 6 12:10:01 2026 error -1 reading relation 367992821
  74. Thu Aug 6 12:10:03 2026 error -1 reading relation 371871384
  75. Thu Aug 6 12:10:03 2026 error -1 reading relation 371877576
  76. Thu Aug 6 12:10:03 2026 error -1 reading relation 372452633
  77. Thu Aug 6 12:10:07 2026 error -1 reading relation 375593219
  78. Thu Aug 6 12:10:13 2026 error -1 reading relation 382565169
  79. Thu Aug 6 12:10:15 2026 error -1 reading relation 384961523
  80. Thu Aug 6 12:10:16 2026 error -1 reading relation 386481773
  81. Thu Aug 6 12:10:19 2026 error -1 reading relation 389121311
  82. Thu Aug 6 12:10:19 2026 error -1 reading relation 389347762
  83. Thu Aug 6 12:10:22 2026 error -1 reading relation 393426251
  84. Thu Aug 6 12:10:24 2026 error -11 reading relation 395184576
  85. Thu Aug 6 12:10:24 2026 error -1 reading relation 395461892
  86. Thu Aug 6 12:10:24 2026 error -1 reading relation 395626190
  87. Thu Aug 6 12:10:27 2026 error -1 reading relation 398599932
  88. Thu Aug 6 12:10:27 2026 error -1 reading relation 399122200
  89. Thu Aug 6 12:10:29 2026 error -1 reading relation 401445029
  90. Thu Aug 6 12:10:31 2026 error -1 reading relation 403497598
  91. Thu Aug 6 12:10:36 2026 error -1 reading relation 410874588
  92. Thu Aug 6 12:10:40 2026 error -1 reading relation 415616398
  93. Thu Aug 6 12:10:40 2026 error -1 reading relation 415760216
  94. Thu Aug 6 12:10:49 2026 error -1 reading relation 426243742
  95. Thu Aug 6 12:10:50 2026 error -1 reading relation 428182906
  96. Thu Aug 6 12:10:51 2026 error -1 reading relation 428680466
  97. Thu Aug 6 12:10:52 2026 error -1 reading relation 430754579
  98. Thu Aug 6 12:10:55 2026 error -1 reading relation 433492027
  99. Thu Aug 6 12:11:02 2026 error -1 reading relation 442096886
  100. Thu Aug 6 12:11:05 2026 error -1 reading relation 446808299
  101. Thu Aug 6 12:11:08 2026 error -1 reading relation 450269672
  102. Thu Aug 6 12:11:09 2026 error -1 reading relation 450947357
  103. Thu Aug 6 12:11:16 2026 error -1 reading relation 457763953
  104. Thu Aug 6 12:11:20 2026 error -1 reading relation 462957191
  105. Thu Aug 6 12:11:25 2026 error -1 reading relation 467893629
  106. Thu Aug 6 12:11:25 2026 error -1 reading relation 468143592
  107. Thu Aug 6 12:11:28 2026 error -1 reading relation 471882079
  108. Thu Aug 6 12:11:32 2026 error -1 reading relation 476219541
  109. Thu Aug 6 12:11:33 2026 error -1 reading relation 477994942
  110. Thu Aug 6 12:11:36 2026 error -1 reading relation 481823018
  111. Thu Aug 6 12:11:40 2026 error -1 reading relation 486716443
  112. Thu Aug 6 12:11:45 2026 error -1 reading relation 491696224
  113. Thu Aug 6 12:11:45 2026 error -1 reading relation 492479573
  114. Thu Aug 6 12:11:46 2026 error -1 reading relation 492885605
  115. Thu Aug 6 12:11:46 2026 error -1 reading relation 492886777
  116. Thu Aug 6 12:11:46 2026 error -1 reading relation 493071958
  117. Thu Aug 6 12:11:49 2026 error -1 reading relation 496551185
  118. Thu Aug 6 12:11:49 2026 error -1 reading relation 496798065
  119. Thu Aug 6 12:11:50 2026 error -1 reading relation 497697859
  120. Thu Aug 6 12:12:02 2026 error -1 reading relation 510099659
  121. Thu Aug 6 12:12:05 2026 error -5 reading relation 513731572
  122. Thu Aug 6 12:12:10 2026 error -1 reading relation 520694502
  123. Thu Aug 6 12:12:10 2026 error -1 reading relation 521259244
  124. Thu Aug 6 12:12:18 2026 error -1 reading relation 529956977
  125. Thu Aug 6 12:12:21 2026 error -1 reading relation 532934626
  126. Thu Aug 6 12:12:22 2026 error -1 reading relation 534159903
  127. Thu Aug 6 12:12:35 2026 error -1 reading relation 549619714
  128. Thu Aug 6 12:12:43 2026 error -1 reading relation 561277005
  129. Thu Aug 6 12:12:46 2026 error -1 reading relation 564582140
  130. Thu Aug 6 12:12:52 2026 error -1 reading relation 571768250
  131. Thu Aug 6 12:13:00 2026 error -1 reading relation 581478339
  132. Thu Aug 6 12:13:00 2026 error -1 reading relation 581890768
  133. Thu Aug 6 12:13:02 2026 error -1 reading relation 583981174
  134. Thu Aug 6 12:13:02 2026 error -1 reading relation 584519111
  135. Thu Aug 6 12:13:06 2026 error -1 reading relation 589105837
  136. Thu Aug 6 12:13:06 2026 error -1 reading relation 589244316
  137. Thu Aug 6 12:13:06 2026 error -1 reading relation 589473580
  138. Thu Aug 6 12:13:07 2026 error -1 reading relation 592336316
  139. Thu Aug 6 12:13:08 2026 error -1 reading relation 592904672
  140. Thu Aug 6 12:13:11 2026 error -1 reading relation 596818217
  141. Thu Aug 6 12:13:13 2026 error -1 reading relation 598917116
  142. Thu Aug 6 12:13:15 2026 error -1 reading relation 601215544
  143. Thu Aug 6 12:13:20 2026 error -1 reading relation 608046238
  144. Thu Aug 6 12:13:20 2026 error -1 reading relation 608048706
  145. Thu Aug 6 12:13:20 2026 error -1 reading relation 608054292
  146. Thu Aug 6 12:13:22 2026 error -1 reading relation 610324888
  147. Thu Aug 6 12:13:26 2026 error -1 reading relation 614148501
  148. Thu Aug 6 12:13:26 2026 error -1 reading relation 614151502
  149. Thu Aug 6 12:13:27 2026 error -1 reading relation 616352280
  150. Thu Aug 6 12:13:28 2026 error -5 reading relation 616945869
  151. Thu Aug 6 12:13:28 2026 error -1 reading relation 617084424
  152. Thu Aug 6 12:13:30 2026 error -1 reading relation 619968200
  153. Thu Aug 6 12:13:32 2026 error -1 reading relation 622678017
  154. Thu Aug 6 12:13:33 2026 error -1 reading relation 622912185
  155. Thu Aug 6 12:13:33 2026 error -1 reading relation 623261192
  156. Thu Aug 6 12:13:33 2026 error -1 reading relation 623517196
  157. Thu Aug 6 12:13:34 2026 error -1 reading relation 624280458
  158. Thu Aug 6 12:13:34 2026 error -1 reading relation 624421036
  159. Thu Aug 6 12:13:34 2026 error -1 reading relation 624491361
  160. Thu Aug 6 12:13:34 2026 error -1 reading relation 624762194
  161. Thu Aug 6 12:13:36 2026 error -1 reading relation 627149101
  162. Thu Aug 6 12:13:36 2026 error -1 reading relation 628560087
  163. Thu Aug 6 12:13:37 2026 error -1 reading relation 629282441
  164. Thu Aug 6 12:13:38 2026 error -1 reading relation 630970909
  165. Thu Aug 6 12:13:38 2026 error -1 reading relation 631026283
  166. Thu Aug 6 12:13:38 2026 error -1 reading relation 631298975
  167. Thu Aug 6 12:13:38 2026 error -1 reading relation 631453908
  168. Thu Aug 6 12:13:39 2026 error -1 reading relation 632134710
  169. Thu Aug 6 12:13:41 2026 error -1 reading relation 634562390
  170. Thu Aug 6 12:13:41 2026 error -1 reading relation 634941716
  171. Thu Aug 6 12:13:42 2026 error -1 reading relation 635251939
  172. Thu Aug 6 12:13:42 2026 error -1 reading relation 635922247
  173. Thu Aug 6 12:13:42 2026 error -1 reading relation 635932245
  174. Thu Aug 6 12:13:42 2026 error -1 reading relation 635938723
  175. Thu Aug 6 12:13:46 2026 error -1 reading relation 640205474
  176. Thu Aug 6 12:13:47 2026 error -1 reading relation 641352665
  177. Thu Aug 6 12:13:47 2026 error -1 reading relation 641353358
  178. Thu Aug 6 12:13:47 2026 error -1 reading relation 641354891
  179. Thu Aug 6 12:13:47 2026 error -1 reading relation 641359368
  180. Thu Aug 6 12:13:47 2026 error -1 reading relation 641788497
  181. Thu Aug 6 12:13:48 2026 error -1 reading relation 642578377
  182. Thu Aug 6 12:13:49 2026 error -1 reading relation 643302308
  183. Thu Aug 6 12:13:51 2026 error -1 reading relation 646547116
  184. Thu Aug 6 12:13:52 2026 error -1 reading relation 647023999
  185. Thu Aug 6 12:13:52 2026 error -1 reading relation 647252311
  186. Thu Aug 6 12:13:53 2026 error -1 reading relation 648260211
  187. Thu Aug 6 12:13:54 2026 error -1 reading relation 650228001
  188. Thu Aug 6 12:13:55 2026 error -1 reading relation 650873901
  189. Thu Aug 6 12:13:55 2026 error -1 reading relation 650921155
  190. Thu Aug 6 12:13:55 2026 error -1 reading relation 651366939
  191. Thu Aug 6 12:13:55 2026 error -1 reading relation 651477525
  192. Thu Aug 6 12:13:55 2026 error -1 reading relation 651507578
  193. Thu Aug 6 12:13:55 2026 error -15 reading relation 651513063
  194. Thu Aug 6 12:13:56 2026 skipped 2 relations with composite factors
  195. Thu Aug 6 12:13:56 2026 skipped 1200 malformed relations
  196. Thu Aug 6 12:13:56 2026 found 126679244 hash collisions in 651951186 relations
  197. Thu Aug 6 12:14:07 2026 added 121880 free relations
  198. Thu Aug 6 12:14:07 2026 commencing duplicate removal, pass 2
  199. Thu Aug 6 12:18:33 2026 found 132696997 duplicates and 519376069 unique relations
  200. Thu Aug 6 12:18:33 2026 memory use: 3411.0 MB
  201. Thu Aug 6 12:18:33 2026 reading ideals above 359989248
  202. Thu Aug 6 12:18:33 2026 commencing singleton removal, initial pass
  203. Thu Aug 6 12:30:35 2026 memory use: 11024.0 MB
  204. Thu Aug 6 12:30:35 2026 reading all ideals from disk
  205. Thu Aug 6 12:30:40 2026 memory use: 13289.2 MB
  206. Thu Aug 6 12:30:52 2026 commencing in-memory singleton removal
  207. Thu Aug 6 12:30:55 2026 begin with 519376069 relations and 444090220 unique ideals
  208. Thu Aug 6 12:31:20 2026 reduce to 327128443 relations and 232300612 ideals in 16 passes
  209. Thu Aug 6 12:31:20 2026 max relations containing the same ideal: 48
  210. Thu Aug 6 12:31:26 2026 reading ideals above 720000
  211. Thu Aug 6 12:31:27 2026 commencing singleton removal, initial pass
  212. Thu Aug 6 12:45:11 2026 memory use: 6024.0 MB
  213. Thu Aug 6 12:45:12 2026 reading all ideals from disk
  214. Thu Aug 6 12:45:16 2026 memory use: 16466.4 MB
  215. Thu Aug 6 12:45:34 2026 keeping 269239587 ideals with weight <= 200, target excess is 1681791
  216. Thu Aug 6 12:46:00 2026 commencing in-memory singleton removal
  217. Thu Aug 6 12:46:04 2026 begin with 327128443 relations and 269239587 unique ideals
  218. Thu Aug 6 12:46:24 2026 reduce to 327096513 relations and 269207655 ideals in 9 passes
  219. Thu Aug 6 12:46:24 2026 max relations containing the same ideal: 200
  220. Thu Aug 6 12:47:43 2026 removing 14060619 relations and 12060619 ideals in 2000000 cliques
  221. Thu Aug 6 12:47:46 2026 commencing in-memory singleton removal
  222. Thu Aug 6 12:47:51 2026 begin with 313035894 relations and 269207655 unique ideals
  223. Thu Aug 6 12:48:10 2026 reduce to 312586216 relations and 256693533 ideals in 8 passes
  224. Thu Aug 6 12:48:10 2026 max relations containing the same ideal: 200
  225. Thu Aug 6 12:49:23 2026 removing 10650074 relations and 8650074 ideals in 2000000 cliques
  226. Thu Aug 6 12:49:28 2026 commencing in-memory singleton removal
  227. Thu Aug 6 12:49:32 2026 begin with 301936142 relations and 256693533 unique ideals
  228. Thu Aug 6 12:49:48 2026 reduce to 301648744 relations and 247754055 ideals in 7 passes
  229. Thu Aug 6 12:49:48 2026 max relations containing the same ideal: 197
  230. Thu Aug 6 12:50:56 2026 removing 9566261 relations and 7566261 ideals in 2000000 cliques
  231. Thu Aug 6 12:51:01 2026 commencing in-memory singleton removal
  232. Thu Aug 6 12:51:05 2026 begin with 292082483 relations and 247754055 unique ideals
  233. Thu Aug 6 12:51:20 2026 reduce to 291836440 relations and 239940110 ideals in 7 passes
  234. Thu Aug 6 12:51:20 2026 max relations containing the same ideal: 194
  235. Thu Aug 6 12:52:27 2026 removing 8963548 relations and 6963548 ideals in 2000000 cliques
  236. Thu Aug 6 12:52:31 2026 commencing in-memory singleton removal
  237. Thu Aug 6 12:52:35 2026 begin with 282872892 relations and 239940110 unique ideals
  238. Thu Aug 6 12:52:50 2026 reduce to 282649443 relations and 232751549 ideals in 7 passes
  239. Thu Aug 6 12:52:50 2026 max relations containing the same ideal: 191
  240. Thu Aug 6 12:53:56 2026 removing 8563526 relations and 6563526 ideals in 2000000 cliques
  241. Thu Aug 6 12:54:00 2026 commencing in-memory singleton removal
  242. Thu Aug 6 12:54:03 2026 begin with 274085917 relations and 232751549 unique ideals
  243. Thu Aug 6 12:54:17 2026 reduce to 273872997 relations and 225973585 ideals in 7 passes
  244. Thu Aug 6 12:54:17 2026 max relations containing the same ideal: 188
  245. Thu Aug 6 12:55:22 2026 removing 8275690 relations and 6275690 ideals in 2000000 cliques
  246. Thu Aug 6 12:55:26 2026 commencing in-memory singleton removal
  247. Thu Aug 6 12:55:29 2026 begin with 265597307 relations and 225973585 unique ideals
  248. Thu Aug 6 12:55:40 2026 reduce to 265392485 relations and 219491663 ideals in 6 passes
  249. Thu Aug 6 12:55:40 2026 max relations containing the same ideal: 186
  250. Thu Aug 6 12:56:43 2026 removing 8057795 relations and 6057795 ideals in 2000000 cliques
  251. Thu Aug 6 12:56:47 2026 commencing in-memory singleton removal
  252. Thu Aug 6 12:56:50 2026 begin with 257334690 relations and 219491663 unique ideals
  253. Thu Aug 6 12:57:01 2026 reduce to 257133311 relations and 213231074 ideals in 6 passes
  254. Thu Aug 6 12:57:01 2026 max relations containing the same ideal: 183
  255. Thu Aug 6 12:58:02 2026 removing 7893052 relations and 5893052 ideals in 2000000 cliques
  256. Thu Aug 6 12:58:06 2026 commencing in-memory singleton removal
  257. Thu Aug 6 12:58:08 2026 begin with 249240259 relations and 213231074 unique ideals
  258. Thu Aug 6 12:58:19 2026 reduce to 249041069 relations and 207137430 ideals in 6 passes
  259. Thu Aug 6 12:58:19 2026 max relations containing the same ideal: 180
  260. Thu Aug 6 12:59:18 2026 removing 7765034 relations and 5765034 ideals in 2000000 cliques
  261. Thu Aug 6 12:59:22 2026 commencing in-memory singleton removal
  262. Thu Aug 6 12:59:25 2026 begin with 241276035 relations and 207137430 unique ideals
  263. Thu Aug 6 12:59:37 2026 reduce to 241076269 relations and 201171102 ideals in 7 passes
  264. Thu Aug 6 12:59:37 2026 max relations containing the same ideal: 176
  265. Thu Aug 6 13:00:34 2026 removing 7663959 relations and 5663959 ideals in 2000000 cliques
  266. Thu Aug 6 13:00:38 2026 commencing in-memory singleton removal
  267. Thu Aug 6 13:00:40 2026 begin with 233412310 relations and 201171102 unique ideals
  268. Thu Aug 6 13:00:49 2026 reduce to 233213077 relations and 195306382 ideals in 6 passes
  269. Thu Aug 6 13:00:49 2026 max relations containing the same ideal: 172
  270. Thu Aug 6 13:01:46 2026 removing 7581351 relations and 5581351 ideals in 2000000 cliques
  271. Thu Aug 6 13:01:49 2026 commencing in-memory singleton removal
  272. Thu Aug 6 13:01:52 2026 begin with 225631726 relations and 195306382 unique ideals
  273. Thu Aug 6 13:02:03 2026 reduce to 225430339 relations and 189522041 ideals in 7 passes
  274. Thu Aug 6 13:02:03 2026 max relations containing the same ideal: 169
  275. Thu Aug 6 13:02:58 2026 removing 7520378 relations and 5520378 ideals in 2000000 cliques
  276. Thu Aug 6 13:03:01 2026 commencing in-memory singleton removal
  277. Thu Aug 6 13:03:04 2026 begin with 217909961 relations and 189522041 unique ideals
  278. Thu Aug 6 13:03:16 2026 reduce to 217706117 relations and 183796104 ideals in 7 passes
  279. Thu Aug 6 13:03:16 2026 max relations containing the same ideal: 165
  280. Thu Aug 6 13:04:08 2026 removing 7471070 relations and 5471070 ideals in 2000000 cliques
  281. Thu Aug 6 13:04:11 2026 commencing in-memory singleton removal
  282. Thu Aug 6 13:04:14 2026 begin with 210235047 relations and 183796104 unique ideals
  283. Thu Aug 6 13:04:24 2026 reduce to 210026867 relations and 178115031 ideals in 7 passes
  284. Thu Aug 6 13:04:24 2026 max relations containing the same ideal: 162
  285. Thu Aug 6 13:05:16 2026 removing 7434375 relations and 5434375 ideals in 2000000 cliques
  286. Thu Aug 6 13:05:19 2026 commencing in-memory singleton removal
  287. Thu Aug 6 13:05:21 2026 begin with 202592492 relations and 178115031 unique ideals
  288. Thu Aug 6 13:05:29 2026 reduce to 202377883 relations and 172464157 ideals in 6 passes
  289. Thu Aug 6 13:05:29 2026 max relations containing the same ideal: 158
  290. Thu Aug 6 13:06:20 2026 removing 7412420 relations and 5412420 ideals in 2000000 cliques
  291. Thu Aug 6 13:06:23 2026 commencing in-memory singleton removal
  292. Thu Aug 6 13:06:24 2026 begin with 194965463 relations and 172464157 unique ideals
  293. Thu Aug 6 13:06:33 2026 reduce to 194745790 relations and 166830076 ideals in 6 passes
  294. Thu Aug 6 13:06:33 2026 max relations containing the same ideal: 151
  295. Thu Aug 6 13:07:23 2026 removing 7398358 relations and 5398358 ideals in 2000000 cliques
  296. Thu Aug 6 13:07:24 2026 commencing in-memory singleton removal
  297. Thu Aug 6 13:07:27 2026 begin with 187347432 relations and 166830076 unique ideals
  298. Thu Aug 6 13:07:35 2026 reduce to 187122444 relations and 161204578 ideals in 6 passes
  299. Thu Aug 6 13:07:35 2026 max relations containing the same ideal: 148
  300. Thu Aug 6 13:08:23 2026 removing 7391114 relations and 5391114 ideals in 2000000 cliques
  301. Thu Aug 6 13:08:26 2026 commencing in-memory singleton removal
  302. Thu Aug 6 13:08:27 2026 begin with 179731330 relations and 161204578 unique ideals
  303. Thu Aug 6 13:08:35 2026 reduce to 179495412 relations and 155575165 ideals in 6 passes
  304. Thu Aug 6 13:08:35 2026 max relations containing the same ideal: 145
  305. Thu Aug 6 13:09:21 2026 removing 7399866 relations and 5399866 ideals in 2000000 cliques
  306. Thu Aug 6 13:09:24 2026 commencing in-memory singleton removal
  307. Thu Aug 6 13:09:26 2026 begin with 172095546 relations and 155575165 unique ideals
  308. Thu Aug 6 13:09:35 2026 reduce to 171851506 relations and 149928794 ideals in 7 passes
  309. Thu Aug 6 13:09:35 2026 max relations containing the same ideal: 141
  310. Thu Aug 6 13:10:17 2026 removing 7410849 relations and 5410849 ideals in 2000000 cliques
  311. Thu Aug 6 13:10:20 2026 commencing in-memory singleton removal
  312. Thu Aug 6 13:10:22 2026 begin with 164440657 relations and 149928794 unique ideals
  313. Thu Aug 6 13:10:30 2026 reduce to 164186247 relations and 144260783 ideals in 7 passes
  314. Thu Aug 6 13:10:30 2026 max relations containing the same ideal: 136
  315. Thu Aug 6 13:11:13 2026 removing 7435983 relations and 5435983 ideals in 2000000 cliques
  316. Thu Aug 6 13:11:14 2026 commencing in-memory singleton removal
  317. Thu Aug 6 13:11:16 2026 begin with 156750264 relations and 144260783 unique ideals
  318. Thu Aug 6 13:11:23 2026 reduce to 156484221 relations and 138555776 ideals in 6 passes
  319. Thu Aug 6 13:11:23 2026 max relations containing the same ideal: 133
  320. Thu Aug 6 13:12:04 2026 removing 7469936 relations and 5469936 ideals in 2000000 cliques
  321. Thu Aug 6 13:12:07 2026 commencing in-memory singleton removal
  322. Thu Aug 6 13:12:09 2026 begin with 149014285 relations and 138555776 unique ideals
  323. Thu Aug 6 13:12:16 2026 reduce to 148733333 relations and 132801618 ideals in 7 passes
  324. Thu Aug 6 13:12:16 2026 max relations containing the same ideal: 128
  325. Thu Aug 6 13:12:53 2026 removing 7505602 relations and 5505602 ideals in 2000000 cliques
  326. Thu Aug 6 13:12:55 2026 commencing in-memory singleton removal
  327. Thu Aug 6 13:12:57 2026 begin with 141227731 relations and 132801618 unique ideals
  328. Thu Aug 6 13:13:04 2026 reduce to 140930454 relations and 126995166 ideals in 7 passes
  329. Thu Aug 6 13:13:04 2026 max relations containing the same ideal: 124
  330. Thu Aug 6 13:13:40 2026 removing 7554311 relations and 5554311 ideals in 2000000 cliques
  331. Thu Aug 6 13:13:43 2026 commencing in-memory singleton removal
  332. Thu Aug 6 13:13:44 2026 begin with 133376143 relations and 126995166 unique ideals
  333. Thu Aug 6 13:13:49 2026 reduce to 133059746 relations and 121120523 ideals in 7 passes
  334. Thu Aug 6 13:13:49 2026 max relations containing the same ideal: 120
  335. Thu Aug 6 13:14:24 2026 removing 7612573 relations and 5612573 ideals in 2000000 cliques
  336. Thu Aug 6 13:14:27 2026 commencing in-memory singleton removal
  337. Thu Aug 6 13:14:28 2026 begin with 125447173 relations and 121120523 unique ideals
  338. Thu Aug 6 13:14:34 2026 reduce to 125107836 relations and 115164171 ideals in 7 passes
  339. Thu Aug 6 13:14:34 2026 max relations containing the same ideal: 116
  340. Thu Aug 6 13:15:07 2026 removing 7684452 relations and 5684452 ideals in 2000000 cliques
  341. Thu Aug 6 13:15:09 2026 commencing in-memory singleton removal
  342. Thu Aug 6 13:15:11 2026 begin with 117423384 relations and 115164171 unique ideals
  343. Thu Aug 6 13:15:17 2026 reduce to 117057073 relations and 109108416 ideals in 7 passes
  344. Thu Aug 6 13:15:17 2026 max relations containing the same ideal: 108
  345. Thu Aug 6 13:15:47 2026 removing 7768158 relations and 5768158 ideals in 2000000 cliques
  346. Thu Aug 6 13:15:50 2026 commencing in-memory singleton removal
  347. Thu Aug 6 13:15:51 2026 begin with 109288915 relations and 109108416 unique ideals
  348. Thu Aug 6 13:15:55 2026 reduce to 108891491 relations and 102937057 ideals in 8 passes
  349. Thu Aug 6 13:15:55 2026 max relations containing the same ideal: 105
  350. Thu Aug 6 13:16:24 2026 removing 7863163 relations and 5863163 ideals in 2000000 cliques
  351. Thu Aug 6 13:16:26 2026 commencing in-memory singleton removal
  352. Thu Aug 6 13:16:27 2026 begin with 101028328 relations and 102937057 unique ideals
  353. Thu Aug 6 13:16:32 2026 reduce to 100589747 relations and 96628550 ideals in 8 passes
  354. Thu Aug 6 13:16:32 2026 max relations containing the same ideal: 98
  355. Thu Aug 6 13:16:59 2026 removing 7976248 relations and 5976248 ideals in 2000000 cliques
  356. Thu Aug 6 13:17:01 2026 commencing in-memory singleton removal
  357. Thu Aug 6 13:17:02 2026 begin with 92613499 relations and 96628550 unique ideals
  358. Thu Aug 6 13:17:07 2026 reduce to 92124790 relations and 90155396 ideals in 9 passes
  359. Thu Aug 6 13:17:07 2026 max relations containing the same ideal: 90
  360. Thu Aug 6 13:17:32 2026 removing 149902 relations and 131386 ideals in 18516 cliques
  361. Thu Aug 6 13:17:33 2026 commencing in-memory singleton removal
  362. Thu Aug 6 13:17:34 2026 begin with 91974888 relations and 90155396 unique ideals
  363. Thu Aug 6 13:17:37 2026 reduce to 91974716 relations and 90023838 ideals in 4 passes
  364. Thu Aug 6 13:17:37 2026 max relations containing the same ideal: 90
  365. Thu Aug 6 13:17:39 2026 trying target density 90
  366. Thu Aug 6 13:17:46 2026 relations with 0 large ideals: 6295
  367. Thu Aug 6 13:17:46 2026 relations with 1 large ideals: 20280
  368. Thu Aug 6 13:17:46 2026 relations with 2 large ideals: 329086
  369. Thu Aug 6 13:17:46 2026 relations with 3 large ideals: 2239157
  370. Thu Aug 6 13:17:46 2026 relations with 4 large ideals: 8221018
  371. Thu Aug 6 13:17:46 2026 relations with 5 large ideals: 18043141
  372. Thu Aug 6 13:17:46 2026 relations with 6 large ideals: 24877566
  373. Thu Aug 6 13:17:46 2026 relations with 7+ large ideals: 38238173
  374. Thu Aug 6 13:17:46 2026 commencing 2-way merge
  375. Thu Aug 6 13:18:25 2026 reduce to 58085988 relation sets and 56135110 unique ideals
  376. Thu Aug 6 13:18:25 2026 commencing full merge
  377. Thu Aug 6 13:29:31 2026 memory use: 6843.7 MB
  378. Thu Aug 6 13:29:35 2026 found 29286789 cycles, need 29023310
  379. Thu Aug 6 13:29:42 2026 weight of 29023310 cycles is about 2612418404 (90.01/cycle)
  380. Thu Aug 6 13:29:42 2026 distribution of cycle lengths:
  381. Thu Aug 6 13:29:42 2026 1 relations: 2844275
  382. Thu Aug 6 13:29:42 2026 2 relations: 2905402
  383. Thu Aug 6 13:29:42 2026 3 relations: 2956544
  384. Thu Aug 6 13:29:42 2026 4 relations: 2866468
  385. Thu Aug 6 13:29:42 2026 5 relations: 2738098
  386. Thu Aug 6 13:29:42 2026 6 relations: 2593001
  387. Thu Aug 6 13:29:42 2026 7 relations: 2368889
  388. Thu Aug 6 13:29:42 2026 8 relations: 2095964
  389. Thu Aug 6 13:29:42 2026 9 relations: 1791582
  390. Thu Aug 6 13:29:42 2026 10+ relations: 5863087
  391. Thu Aug 6 13:29:42 2026 heaviest cycle: 22 relations
  392. Thu Aug 6 13:29:46 2026 commencing cycle optimization
  393. Thu Aug 6 13:30:25 2026 start with 180068676 relations
  394. Thu Aug 6 13:33:41 2026 pruned 5464975 relations
  395. Thu Aug 6 13:33:44 2026 memory use: 5636.3 MB
  396. Thu Aug 6 13:33:44 2026 distribution of cycle lengths:
  397. Thu Aug 6 13:33:44 2026 1 relations: 2844275
  398. Thu Aug 6 13:33:44 2026 2 relations: 2973460
  399. Thu Aug 6 13:33:44 2026 3 relations: 3069636
  400. Thu Aug 6 13:33:44 2026 4 relations: 2953636
  401. Thu Aug 6 13:33:44 2026 5 relations: 2836717
  402. Thu Aug 6 13:33:44 2026 6 relations: 2668062
  403. Thu Aug 6 13:33:44 2026 7 relations: 2432480
  404. Thu Aug 6 13:33:44 2026 8 relations: 2130106
  405. Thu Aug 6 13:33:44 2026 9 relations: 1801179
  406. Thu Aug 6 13:33:44 2026 10+ relations: 5313759
  407. Thu Aug 6 13:33:44 2026 heaviest cycle: 21 relations
  408. Thu Aug 6 13:34:20 2026 trying target density 110
  409. Thu Aug 6 13:34:27 2026 relations with 0 large ideals: 6295
  410. Thu Aug 6 13:34:27 2026 relations with 1 large ideals: 20280
  411. Thu Aug 6 13:34:27 2026 relations with 2 large ideals: 329086
  412. Thu Aug 6 13:34:27 2026 relations with 3 large ideals: 2239157
  413. Thu Aug 6 13:34:27 2026 relations with 4 large ideals: 8221018
  414. Thu Aug 6 13:34:27 2026 relations with 5 large ideals: 18043141
  415. Thu Aug 6 13:34:27 2026 relations with 6 large ideals: 24877566
  416. Thu Aug 6 13:34:27 2026 relations with 7+ large ideals: 38238173
  417. Thu Aug 6 13:34:27 2026 commencing 2-way merge
  418. Thu Aug 6 13:35:06 2026 reduce to 58085988 relation sets and 56135110 unique ideals
  419. Thu Aug 6 13:35:06 2026 commencing full merge
  420. Thu Aug 6 13:50:18 2026 memory use: 7056.3 MB
  421. Thu Aug 6 13:50:23 2026 found 27357746 cycles, need 27137310
  422. Thu Aug 6 13:50:31 2026 weight of 27137310 cycles is about 2985134629 (110.00/cycle)
  423. Thu Aug 6 13:50:31 2026 distribution of cycle lengths:
  424. Thu Aug 6 13:50:31 2026 1 relations: 1850714
  425. Thu Aug 6 13:50:31 2026 2 relations: 2169622
  426. Thu Aug 6 13:50:31 2026 3 relations: 2320789
  427. Thu Aug 6 13:50:31 2026 4 relations: 2252125
  428. Thu Aug 6 13:50:31 2026 5 relations: 2214039
  429. Thu Aug 6 13:50:31 2026 6 relations: 2148108
  430. Thu Aug 6 13:50:31 2026 7 relations: 2051929
  431. Thu Aug 6 13:50:31 2026 8 relations: 1919528
  432. Thu Aug 6 13:50:31 2026 9 relations: 1749138
  433. Thu Aug 6 13:50:31 2026 10+ relations: 8461318
  434. Thu Aug 6 13:50:31 2026 heaviest cycle: 26 relations
  435. Thu Aug 6 13:50:50 2026 commencing cycle optimization
  436. Thu Aug 6 13:52:39 2026 start with 205169325 relations
  437. Thu Aug 6 13:59:12 2026 pruned 7742025 relations
  438. Thu Aug 6 13:59:15 2026 memory use: 5904.5 MB
  439. Thu Aug 6 13:59:16 2026 distribution of cycle lengths:
  440. Thu Aug 6 13:59:16 2026 1 relations: 1850714
  441. Thu Aug 6 13:59:16 2026 2 relations: 2224089
  442. Thu Aug 6 13:59:16 2026 3 relations: 2415086
  443. Thu Aug 6 13:59:16 2026 4 relations: 2333298
  444. Thu Aug 6 13:59:16 2026 5 relations: 2307348
  445. Thu Aug 6 13:59:16 2026 6 relations: 2231049
  446. Thu Aug 6 13:59:16 2026 7 relations: 2133925
  447. Thu Aug 6 13:59:16 2026 8 relations: 1983868
  448. Thu Aug 6 13:59:16 2026 9 relations: 1800321
  449. Thu Aug 6 13:59:16 2026 10+ relations: 7857612
  450. Thu Aug 6 13:59:16 2026 heaviest cycle: 25 relations
  451. Thu Aug 6 14:00:15 2026 trying target density 130
  452. Thu Aug 6 14:00:22 2026 relations with 0 large ideals: 6295
  453. Thu Aug 6 14:00:22 2026 relations with 1 large ideals: 20280
  454. Thu Aug 6 14:00:22 2026 relations with 2 large ideals: 329086
  455. Thu Aug 6 14:00:22 2026 relations with 3 large ideals: 2239157
  456. Thu Aug 6 14:00:22 2026 relations with 4 large ideals: 8221018
  457. Thu Aug 6 14:00:22 2026 relations with 5 large ideals: 18043141
  458. Thu Aug 6 14:00:22 2026 relations with 6 large ideals: 24877566
  459. Thu Aug 6 14:00:22 2026 relations with 7+ large ideals: 38238173
  460. Thu Aug 6 14:00:22 2026 commencing 2-way merge
  461. Thu Aug 6 14:02:16 2026 reduce to 58085988 relation sets and 56135110 unique ideals
  462. Thu Aug 6 14:02:16 2026 commencing full merge
  463. Thu Aug 6 14:21:02 2026 memory use: 7207.1 MB
  464. Thu Aug 6 14:21:06 2026 found 25827542 cycles, need 25753310
  465. Thu Aug 6 14:21:11 2026 weight of 25753310 cycles is about 3348210682 (130.01/cycle)
  466. Thu Aug 6 14:21:11 2026 distribution of cycle lengths:
  467. Thu Aug 6 14:21:11 2026 1 relations: 1263983
  468. Thu Aug 6 14:21:11 2026 2 relations: 1687008
  469. Thu Aug 6 14:21:11 2026 3 relations: 1859230
  470. Thu Aug 6 14:21:11 2026 4 relations: 1838876
  471. Thu Aug 6 14:21:11 2026 5 relations: 1836581
  472. Thu Aug 6 14:21:11 2026 6 relations: 1794420
  473. Thu Aug 6 14:21:11 2026 7 relations: 1768245
  474. Thu Aug 6 14:21:11 2026 8 relations: 1682115
  475. Thu Aug 6 14:21:11 2026 9 relations: 1601718
  476. Thu Aug 6 14:21:11 2026 10+ relations: 10421134
  477. Thu Aug 6 14:21:11 2026 heaviest cycle: 28 relations
  478. Thu Aug 6 14:21:15 2026 commencing cycle optimization
  479. Thu Aug 6 14:22:02 2026 start with 229349051 relations
  480. Thu Aug 6 14:29:16 2026 pruned 10142331 relations
  481. Thu Aug 6 14:29:16 2026 memory use: 6151.9 MB
  482. Thu Aug 6 14:29:16 2026 distribution of cycle lengths:
  483. Thu Aug 6 14:29:16 2026 1 relations: 1263983
  484. Thu Aug 6 14:29:16 2026 2 relations: 1731032
  485. Thu Aug 6 14:29:16 2026 3 relations: 1938008
  486. Thu Aug 6 14:29:16 2026 4 relations: 1910878
  487. Thu Aug 6 14:29:16 2026 5 relations: 1921438
  488. Thu Aug 6 14:29:16 2026 6 relations: 1875122
  489. Thu Aug 6 14:29:16 2026 7 relations: 1851455
  490. Thu Aug 6 14:29:16 2026 8 relations: 1758024
  491. Thu Aug 6 14:29:16 2026 9 relations: 1671169
  492. Thu Aug 6 14:29:16 2026 10+ relations: 9832201
  493. Thu Aug 6 14:29:16 2026 heaviest cycle: 28 relations
  494. Thu Aug 6 14:29:49 2026 RelProcTime: 8791
  495. Thu Aug 6 14:29:53 2026
  496. Thu Aug 6 14:29:53 2026 commencing linear algebra
  497. Thu Aug 6 14:29:53 2026 using VBITS=256
  498. Thu Aug 6 14:29:53 2026 building matrices for all densities
  499. Thu Aug 6 14:29:53 2026 found 3 density files
  500. Thu Aug 6 14:29:53 2026 building matrix for density 90
  501. Thu Aug 6 14:30:02 2026 read 29023310 cycles
  502. Thu Aug 6 14:30:33 2026 cycles contain 90828225 unique relations
  503. Thu Aug 6 14:33:16 2026 read 90828225 relations
  504. Thu Aug 6 14:33:32 2026 using 20 quadratic characters above 4294917295
  505. Thu Aug 6 14:33:49 2026 building initial matrix
  506. Thu Aug 6 14:44:46 2026 memory use: 12704.0 MB
  507. Thu Aug 6 14:44:55 2026 read 29023310 cycles
  508. Thu Aug 6 14:44:59 2026 matrix is 29023132 x 29023310 (10744.6 MB) with weight 3304475476 (113.86/col)
  509. Thu Aug 6 14:44:59 2026 sparse part has weight 2497372947 (86.05/col)
  510. Thu Aug 6 14:48:20 2026 filtering completed in 2 passes
  511. Thu Aug 6 14:48:25 2026 matrix is 29018822 x 29019000 (10744.2 MB) with weight 3304313506 (113.87/col)
  512. Thu Aug 6 14:48:25 2026 sparse part has weight 2497329541 (86.06/col)
  513. Thu Aug 6 14:49:14 2026 building matrix for density 110
  514. Thu Aug 6 14:49:16 2026 read 27137310 cycles
  515. Thu Aug 6 14:49:46 2026 cycles contain 90847680 unique relations
  516. Thu Aug 6 14:52:09 2026 read 90847680 relations
  517. Thu Aug 6 14:52:28 2026 using 20 quadratic characters above 4294917295
  518. Thu Aug 6 14:52:46 2026 building initial matrix
  519. Thu Aug 6 15:05:26 2026 memory use: 12735.7 MB
  520. Thu Aug 6 15:05:34 2026 read 27137310 cycles
  521. Thu Aug 6 15:05:37 2026 matrix is 27137130 x 27137310 (11875.3 MB) with weight 3616457977 (133.27/col)
  522. Thu Aug 6 15:05:37 2026 sparse part has weight 2814520965 (103.71/col)
  523. Thu Aug 6 15:08:35 2026 filtering completed in 2 passes
  524. Thu Aug 6 15:08:41 2026 matrix is 27135073 x 27135252 (11875.1 MB) with weight 3616370580 (133.27/col)
  525. Thu Aug 6 15:08:41 2026 sparse part has weight 2814495819 (103.72/col)
  526. Thu Aug 6 15:09:35 2026 building matrix for density 130
  527. Thu Aug 6 15:09:37 2026 read 25753310 cycles
  528. Thu Aug 6 15:10:09 2026 cycles contain 90851173 unique relations
  529. Thu Aug 6 15:12:36 2026 read 90851173 relations
  530. Thu Aug 6 15:12:53 2026 using 20 quadratic characters above 4294917295
  531. Thu Aug 6 15:13:10 2026 building initial matrix
  532. Thu Aug 6 15:28:07 2026 memory use: 12713.0 MB
  533. Thu Aug 6 15:28:15 2026 read 25753310 cycles
  534. Thu Aug 6 15:28:18 2026 matrix is 25753133 x 25753310 (12971.6 MB) with weight 3915950818 (152.06/col)
  535. Thu Aug 6 15:28:18 2026 sparse part has weight 3117143780 (121.04/col)
  536. Thu Aug 6 15:31:33 2026 filtering completed in 2 passes
  537. Thu Aug 6 15:31:38 2026 matrix is 25752705 x 25752882 (12971.6 MB) with weight 3915930039 (152.06/col)
  538. Thu Aug 6 15:31:38 2026 sparse part has weight 3117137171 (121.04/col)
  539. Thu Aug 6 15:32:33 2026 BLanczosTime: 3760
  540. Thu Aug 6 15:32:33 2026 elapsed time 03:29:15
  541. Thu Aug 6 20:42:43 2026
  542. Thu Aug 6 20:42:43 2026
  543. Thu Aug 6 20:42:43 2026 Msieve v. 1.54 (SVN unknown)
  544. Thu Aug 6 20:42:43 2026 random seeds: 5e3e5301 d237e743
  545. Thu Aug 6 20:42:43 2026 Using 8 OpenMP threads
  546. Thu Aug 6 20:42:43 2026 factoring 1258680414199641158433144131230709362031731829285564623932689027502112332556090382651420922396292383596949545797768558390552407333519471673986341348855405946563985226713305169171071584330133 (190 digits)
  547. Thu Aug 6 20:42:43 2026 no P-1/P+1/ECM available, skipping
  548. Thu Aug 6 20:42:43 2026 commencing number field sieve (190-digit input)
  549. Thu Aug 6 20:42:43 2026 R0: -4325139291999919251932212590008308280
  550. Thu Aug 6 20:42:43 2026 R1: 138815699012286419492737
  551. Thu Aug 6 20:42:43 2026 A0: -4853344935862651640650081922044946865253753
  552. Thu Aug 6 20:42:43 2026 A1: -199165210526862826031951967615567791
  553. Thu Aug 6 20:42:43 2026 A2: -51561114176637000750996356936
  554. Thu Aug 6 20:42:43 2026 A3: 2852174425674055105919
  555. Thu Aug 6 20:42:43 2026 A4: 89647306377417
  556. Thu Aug 6 20:42:43 2026 A5: 2494800
  557. Thu Aug 6 20:42:43 2026 skew 18994355.94, size 1.874e-18, alpha -6.139, combined = 2.639e-14 rroots = 1
  558. Thu Aug 6 20:42:43 2026
  559. Thu Aug 6 20:42:43 2026 commencing linear algebra
  560. Thu Aug 6 20:42:43 2026 using VBITS=256
  561. Thu Aug 6 20:42:43 2026 skipping matrix build
  562. Thu Aug 6 20:43:43 2026 matrix starts at (0, 0)
  563. Thu Aug 6 20:43:51 2026 matrix is 25752705 x 25752882 (12971.6 MB) with weight 3915930039 (152.06/col)
  564. Thu Aug 6 20:43:51 2026 sparse part has weight 3117137171 (121.04/col)
  565. Thu Aug 6 20:43:51 2026 saving the first 240 matrix rows for later
  566. Thu Aug 6 20:44:08 2026 matrix includes 256 packed rows
  567. Thu Aug 6 20:44:16 2026 matrix is 25752465 x 25752882 (11917.2 MB) with weight 2867575160 (111.35/col)
  568. Thu Aug 6 20:44:16 2026 sparse part has weight 2711984938 (105.31/col)
  569. Thu Aug 6 20:44:17 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  570. Thu Aug 6 20:44:17 2026 selected card has CUDA arch 12.0
  571. Thu Aug 6 20:44:20 2026 computed block_nnz 165635189 (L2 cache 100663296 bytes, average column weight 105.3)
  572. Thu Aug 6 20:44:20 2026 nonzeros per matrix block: 256000000
  573. Thu Aug 6 20:52:49 2026 commencing Lanczos iteration
  574. Thu Aug 6 20:52:51 2026 memory use: 29139.4 MB
  575. Thu Aug 6 20:53:18 2026 linear algebra at 0.1%, ETA 5h49m
  576. Thu Aug 6 20:53:56 2026 checking every 70000 dimensions, checkpointing every 4410000 dimensions
  577. Fri Aug 7 02:47:15 2026 lanczos halted after 100899 iterations (dim = 25752465)
  578. Fri Aug 7 02:49:32 2026 recovered 33 nontrivial dependencies
  579. Fri Aug 7 02:49:34 2026 BLanczosTime: 22011
  580. Fri Aug 7 02:49:34 2026 elapsed time 06:06:51
  581. Thu Aug 6 22:52:36 2026
  582. Thu Aug 6 22:52:36 2026
  583. Thu Aug 6 22:52:36 2026 Msieve v. 1.54 (SVN unknown)
  584. Thu Aug 6 22:52:36 2026 random seeds: cd04fb43 1d135dd2
  585. Thu Aug 6 22:52:36 2026 Using 14 OpenMP threads
  586. Thu Aug 6 22:52:36 2026 factoring 1258680414199641158433144131230709362031731829285564623932689027502112332556090382651420922396292383596949545797768558390552407333519471673986341348855405946563985226713305169171071584330133 (190 digits)
  587. Thu Aug 6 22:52:36 2026 no P-1/P+1/ECM available, skipping
  588. Thu Aug 6 22:52:36 2026 commencing number field sieve (190-digit input)
  589. Thu Aug 6 22:52:36 2026 R0: -4325139291999919251932212590008308280
  590. Thu Aug 6 22:52:36 2026 R1: 138815699012286419492737
  591. Thu Aug 6 22:52:36 2026 A0: -4853344935862651640650081922044946865253753
  592. Thu Aug 6 22:52:36 2026 A1: -199165210526862826031951967615567791
  593. Thu Aug 6 22:52:36 2026 A2: -51561114176637000750996356936
  594. Thu Aug 6 22:52:36 2026 A3: 2852174425674055105919
  595. Thu Aug 6 22:52:36 2026 A4: 89647306377417
  596. Thu Aug 6 22:52:36 2026 A5: 2494800
  597. Thu Aug 6 22:52:36 2026 skew 18994355.94, size 1.874e-18, alpha -6.139, combined = 2.639e-14 rroots = 1
  598. Thu Aug 6 22:52:36 2026
  599. Thu Aug 6 22:52:36 2026 commencing square root phase
  600. Thu Aug 6 22:52:36 2026 reading relations for dependency 1
  601. Thu Aug 6 22:52:38 2026 read 12879721 cycles
  602. Thu Aug 6 22:52:55 2026 cycles contain 45431670 unique relations
  603. Thu Aug 6 22:56:58 2026 read 45431670 relations
  604. Thu Aug 6 22:59:19 2026 multiplying 45431670 relations
  605. Thu Aug 6 23:04:11 2026 multiply complete, coefficients have about 2758.78 million bits
  606. Thu Aug 6 23:04:16 2026 initial square root is modulo 1540141
  607. Thu Aug 6 23:13:50 2026 sqrtTime: 1274
  608. Thu Aug 6 23:13:50 2026 p72 factor: 519775518572720483236846975064200623272858216392523421530316521281448911
  609. Thu Aug 6 23:13:50 2026 p118 factor: 2421584644186242782631156985292060137814970725197235175027781513031571753193231072642013901103495560642729606122029403
  610. Thu Aug 6 23:13:50 2026 elapsed time 00:21:14
  611.  
Tags: math
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