kyleaskine

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Aug 30th, 2026
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  1. Sat Aug 29 12:48:09 2026
  2. Sat Aug 29 12:48:09 2026
  3. Sat Aug 29 12:48:09 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Aug 29 12:48:09 2026 random seeds: 1197bac7 f0338401
  5. Sat Aug 29 12:48:09 2026 Using 8 OpenMP threads
  6. Sat Aug 29 12:48:09 2026 factoring 487194235408152413570165593274858991373630557809569325113298240802570822909586783530693795469461234000283656160276203500867335713087137506498238988613399997710305860768597988367899882133009 (189 digits)
  7. Sat Aug 29 12:48:09 2026 no P-1/P+1/ECM available, skipping
  8. Sat Aug 29 12:48:09 2026 commencing number field sieve (189-digit input)
  9. Sat Aug 29 12:48:09 2026 R0: -3577315645760313198097778795589279996
  10. Sat Aug 29 12:48:09 2026 R1: 71075497734513268579633
  11. Sat Aug 29 12:48:09 2026 A0: 168191854605210811651402817233761188075787625
  12. Sat Aug 29 12:48:09 2026 A1: 21610433970154320500126660444578704066
  13. Sat Aug 29 12:48:09 2026 A2: -549702790160240821627969038100
  14. Sat Aug 29 12:48:09 2026 A3: -10412923781029086738450
  15. Sat Aug 29 12:48:09 2026 A4: 130152079571211
  16. Sat Aug 29 12:48:09 2026 A5: 831600
  17. Sat Aug 29 12:48:09 2026 skew 52563308.26, size 2.474e-18, alpha -6.896, combined = 3.094e-14 rroots = 5
  18. Sat Aug 29 12:48:09 2026
  19. Sat Aug 29 12:48:09 2026 commencing relation filtering
  20. Sat Aug 29 12:48:09 2026 setting 3 target densities:Sat Aug 29 12:48:09 2026 80Sat Aug 29 12:48:09 2026 100Sat Aug 29 12:48:09 2026 120Sat Aug 29 12:48:09 2026
  21. Sat Aug 29 12:48:09 2026 estimated available RAM is 78540.1 MB
  22. Sat Aug 29 12:48:09 2026 commencing duplicate removal, pass 1
  23. Sat Aug 29 12:48:44 2026 error -1 reading relation 14566210
  24. Sat Aug 29 12:48:52 2026 error -1 reading relation 17593015
  25. Sat Aug 29 12:49:40 2026 error -1 reading relation 47944881
  26. Sat Aug 29 12:50:01 2026 error -6 reading relation 67742942
  27. Sat Aug 29 12:50:12 2026 error -1 reading relation 78820286
  28. Sat Aug 29 12:50:23 2026 error -1 reading relation 88492913
  29. Sat Aug 29 12:51:50 2026 error -15 reading relation 126492631
  30. Sat Aug 29 12:52:03 2026 error -1 reading relation 134872743
  31. Sat Aug 29 12:52:08 2026 error -1 reading relation 137414390
  32. Sat Aug 29 12:52:22 2026 error -1 reading relation 144090069
  33. Sat Aug 29 12:52:24 2026 error -1 reading relation 144951544
  34. Sat Aug 29 12:52:24 2026 error -1 reading relation 144962463
  35. Sat Aug 29 12:52:26 2026 error -1 reading relation 145644361
  36. Sat Aug 29 12:53:06 2026 error -1 reading relation 162919660
  37. Sat Aug 29 12:53:26 2026 error -1 reading relation 171405976
  38. Sat Aug 29 12:53:27 2026 error -1 reading relation 171613487
  39. Sat Aug 29 12:53:28 2026 error -15 reading relation 171963385
  40. Sat Aug 29 12:53:29 2026 error -1 reading relation 172378644
  41. Sat Aug 29 12:54:00 2026 error -1 reading relation 185529538
  42. Sat Aug 29 12:54:00 2026 error -1 reading relation 185538733
  43. Sat Aug 29 12:54:47 2026 error -1 reading relation 206361071
  44. Sat Aug 29 12:54:59 2026 error -1 reading relation 211134931
  45. Sat Aug 29 12:55:00 2026 error -1 reading relation 211776046
  46. Sat Aug 29 12:55:23 2026 error -1 reading relation 221562679
  47. Sat Aug 29 12:55:28 2026 error -1 reading relation 223887932
  48. Sat Aug 29 12:55:29 2026 error -11 reading relation 224129766
  49. Sat Aug 29 12:55:48 2026 error -1 reading relation 231959658
  50. Sat Aug 29 12:55:49 2026 error -1 reading relation 232130317
  51. Sat Aug 29 12:55:49 2026 error -1 reading relation 232980356
  52. Sat Aug 29 12:56:21 2026 error -1 reading relation 246659566
  53. Sat Aug 29 12:56:21 2026 error -1 reading relation 246819251
  54. Sat Aug 29 12:57:21 2026 error -1 reading relation 271688143
  55. Sat Aug 29 12:57:44 2026 error -1 reading relation 281737841
  56. Sat Aug 29 12:58:14 2026 error -1 reading relation 293289361
  57. Sat Aug 29 12:58:44 2026 error -1 reading relation 305018855
  58. Sat Aug 29 12:59:45 2026 error -1 reading relation 329053367
  59. Sat Aug 29 13:00:02 2026 error -1 reading relation 335775325
  60. Sat Aug 29 13:00:07 2026 error -1 reading relation 337677311
  61. Sat Aug 29 13:00:26 2026 error -1 reading relation 345354890
  62. Sat Aug 29 13:00:30 2026 error -1 reading relation 346546519
  63. Sat Aug 29 13:00:55 2026 error -1 reading relation 355779207
  64. Sat Aug 29 13:00:56 2026 error -1 reading relation 356169827
  65. Sat Aug 29 13:01:00 2026 error -1 reading relation 358450548
  66. Sat Aug 29 13:01:04 2026 error -1 reading relation 359649269
  67. Sat Aug 29 13:01:04 2026 error -1 reading relation 359935455
  68. Sat Aug 29 13:01:05 2026 error -1 reading relation 360282908
  69. Sat Aug 29 13:01:13 2026 error -1 reading relation 363148469
  70. Sat Aug 29 13:01:16 2026 error -1 reading relation 364339484
  71. Sat Aug 29 13:01:19 2026 error -1 reading relation 365623799
  72. Sat Aug 29 13:01:46 2026 error -1 reading relation 376971658
  73. Sat Aug 29 13:01:54 2026 error -1 reading relation 380135604
  74. Sat Aug 29 13:01:54 2026 error -1 reading relation 380142650
  75. Sat Aug 29 13:01:59 2026 error -1 reading relation 382661883
  76. Sat Aug 29 13:02:09 2026 error -1 reading relation 386460454
  77. Sat Aug 29 13:02:15 2026 error -1 reading relation 388957679
  78. Sat Aug 29 13:02:21 2026 error -1 reading relation 391300779
  79. Sat Aug 29 13:02:21 2026 error -1 reading relation 391310052
  80. Sat Aug 29 13:02:28 2026 error -1 reading relation 394462820
  81. Sat Aug 29 13:02:28 2026 error -1 reading relation 394593589
  82. Sat Aug 29 13:02:36 2026 error -1 reading relation 397692116
  83. Sat Aug 29 13:02:45 2026 error -1 reading relation 401534373
  84. Sat Aug 29 13:02:45 2026 error -1 reading relation 401536693
  85. Sat Aug 29 13:02:46 2026 error -1 reading relation 401906388
  86. Sat Aug 29 13:02:56 2026 error -1 reading relation 405870792
  87. Sat Aug 29 13:03:12 2026 error -1 reading relation 413290351
  88. Sat Aug 29 13:03:15 2026 error -1 reading relation 414405477
  89. Sat Aug 29 13:03:32 2026 error -1 reading relation 422030162
  90. Sat Aug 29 13:04:11 2026 error -1 reading relation 438682246
  91. Sat Aug 29 13:04:17 2026 error -1 reading relation 441334753
  92. Sat Aug 29 13:04:20 2026 error -1 reading relation 442630221
  93. Sat Aug 29 13:04:33 2026 error -1 reading relation 448316664
  94. Sat Aug 29 13:04:38 2026 error -1 reading relation 450482453
  95. Sat Aug 29 13:04:47 2026 error -1 reading relation 454295567
  96. Sat Aug 29 13:04:56 2026 error -1 reading relation 457985665
  97. Sat Aug 29 13:04:59 2026 error -1 reading relation 459096798
  98. Sat Aug 29 13:05:10 2026 error -1 reading relation 464567888
  99. Sat Aug 29 13:05:10 2026 error -1 reading relation 464606421
  100. Sat Aug 29 13:05:24 2026 error -1 reading relation 470755092
  101. Sat Aug 29 13:05:32 2026 error -1 reading relation 478098087
  102. Sat Aug 29 13:05:35 2026 error -1 reading relation 482114317
  103. Sat Aug 29 13:05:35 2026 error -1 reading relation 482881858
  104. Sat Aug 29 13:05:36 2026 error -1 reading relation 483767612
  105. Sat Aug 29 13:05:40 2026 error -1 reading relation 486935355
  106. Sat Aug 29 13:05:40 2026 error -1 reading relation 487253280
  107. Sat Aug 29 13:06:01 2026 error -1 reading relation 497239888
  108. Sat Aug 29 13:06:05 2026 error -1 reading relation 499491474
  109. Sat Aug 29 13:06:05 2026 error -1 reading relation 499783440
  110. Sat Aug 29 13:06:13 2026 error -1 reading relation 503103429
  111. Sat Aug 29 13:06:23 2026 error -1 reading relation 507255934
  112. Sat Aug 29 13:06:34 2026 error -1 reading relation 511651467
  113. Sat Aug 29 13:06:39 2026 error -1 reading relation 514325835
  114. Sat Aug 29 13:06:39 2026 error -1 reading relation 514371680
  115. Sat Aug 29 13:06:43 2026 error -1 reading relation 516046164
  116. Sat Aug 29 13:06:44 2026 error -1 reading relation 516197623
  117. Sat Aug 29 13:06:50 2026 error -1 reading relation 518803970
  118. Sat Aug 29 13:06:57 2026 error -1 reading relation 521901736
  119. Sat Aug 29 13:07:00 2026 error -1 reading relation 522999614
  120. Sat Aug 29 13:07:02 2026 error -1 reading relation 523852261
  121. Sat Aug 29 13:07:03 2026 error -1 reading relation 524310574
  122. Sat Aug 29 13:07:04 2026 error -1 reading relation 525299792
  123. Sat Aug 29 13:07:14 2026 error -1 reading relation 529140987
  124. Sat Aug 29 13:07:15 2026 error -1 reading relation 529829938
  125. Sat Aug 29 13:07:19 2026 error -15 reading relation 531575744
  126. Sat Aug 29 13:07:33 2026 error -15 reading relation 536992305
  127. Sat Aug 29 13:07:36 2026 error -1 reading relation 539020015
  128. Sat Aug 29 13:07:49 2026 error -1 reading relation 544544810
  129. Sat Aug 29 13:07:49 2026 error -1 reading relation 544596594
  130. Sat Aug 29 13:07:50 2026 error -1 reading relation 544790993
  131. Sat Aug 29 13:08:00 2026 error -15 reading relation 548751422
  132. Sat Aug 29 13:08:00 2026 error -6 reading relation 548751423
  133. Sat Aug 29 13:08:05 2026 error -1 reading relation 551627571
  134. Sat Aug 29 13:08:06 2026 error -1 reading relation 552246982
  135. Sat Aug 29 13:08:08 2026 error -1 reading relation 552713075
  136. Sat Aug 29 13:08:08 2026 error -1 reading relation 553068557
  137. Sat Aug 29 13:08:10 2026 error -1 reading relation 553843110
  138. Sat Aug 29 13:08:27 2026 error -1 reading relation 560471374
  139. Sat Aug 29 13:08:29 2026 error -1 reading relation 561336758
  140. Sat Aug 29 13:08:31 2026 error -1 reading relation 562474414
  141. Sat Aug 29 13:08:40 2026 error -11 reading relation 566495522
  142. Sat Aug 29 13:08:48 2026 error -1 reading relation 569938239
  143. Sat Aug 29 13:08:48 2026 error -1 reading relation 570141305
  144. Sat Aug 29 13:08:50 2026 error -1 reading relation 570755877
  145. Sat Aug 29 13:08:54 2026 error -1 reading relation 572325736
  146. Sat Aug 29 13:08:56 2026 error -11 reading relation 573326672
  147. Sat Aug 29 13:09:21 2026 error -1 reading relation 584238591
  148. Sat Aug 29 13:09:39 2026 error -1 reading relation 592401796
  149. Sat Aug 29 13:09:56 2026 error -1 reading relation 599328321
  150. Sat Aug 29 13:10:02 2026 error -1 reading relation 601938157
  151. Sat Aug 29 13:10:03 2026 error -1 reading relation 602249181
  152. Sat Aug 29 13:10:06 2026 error -1 reading relation 603392535
  153. Sat Aug 29 13:10:07 2026 error -1 reading relation 603723036
  154. Sat Aug 29 13:10:10 2026 error -1 reading relation 605652739
  155. Sat Aug 29 13:10:10 2026 error -1 reading relation 605812556
  156. Sat Aug 29 13:10:12 2026 error -1 reading relation 606459619
  157. Sat Aug 29 13:10:18 2026 error -1 reading relation 608966092
  158. Sat Aug 29 13:10:21 2026 error -1 reading relation 610463453
  159. Sat Aug 29 13:10:24 2026 error -1 reading relation 611556400
  160. Sat Aug 29 13:10:28 2026 error -1 reading relation 613346266
  161. Sat Aug 29 13:10:53 2026 error -1 reading relation 624173573
  162. Sat Aug 29 13:11:03 2026 error -1 reading relation 628406022
  163. Sat Aug 29 13:11:04 2026 error -1 reading relation 628835580
  164. Sat Aug 29 13:11:12 2026 error -1 reading relation 632776620
  165. Sat Aug 29 13:11:18 2026 error -1 reading relation 635387978
  166. Sat Aug 29 13:11:29 2026 error -1 reading relation 639867607
  167. Sat Aug 29 13:11:29 2026 error -1 reading relation 639870763
  168. Sat Aug 29 13:11:31 2026 error -1 reading relation 640774844
  169. Sat Aug 29 13:11:35 2026 skipped 2 relations with b > 2^32
  170. Sat Aug 29 13:11:35 2026 skipped 5 relations with composite factors
  171. Sat Aug 29 13:11:35 2026 skipped 1005 malformed relations
  172. Sat Aug 29 13:11:35 2026 found 133580206 hash collisions in 642515509 relations
  173. Sat Aug 29 13:11:48 2026 added 121486 free relations
  174. Sat Aug 29 13:11:48 2026 commencing duplicate removal, pass 2
  175. Sat Aug 29 13:19:39 2026 found 143164341 duplicates and 499472654 unique relations
  176. Sat Aug 29 13:19:39 2026 memory use: 3411.0 MB
  177. Sat Aug 29 13:19:39 2026 reading ideals above 272564224
  178. Sat Aug 29 13:19:39 2026 commencing singleton removal, initial pass
  179. Sat Aug 29 13:39:05 2026 memory use: 11024.0 MB
  180. Sat Aug 29 13:39:06 2026 reading all ideals from disk
  181. Sat Aug 29 13:39:11 2026 memory use: 13221.4 MB
  182. Sat Aug 29 13:39:24 2026 commencing in-memory singleton removal
  183. Sat Aug 29 13:39:28 2026 begin with 499472654 relations and 452758023 unique ideals
  184. Sat Aug 29 13:39:57 2026 reduce to 294627399 relations and 224760674 ideals in 17 passes
  185. Sat Aug 29 13:39:57 2026 max relations containing the same ideal: 30
  186. Sat Aug 29 13:40:04 2026 reading ideals above 720000
  187. Sat Aug 29 13:40:04 2026 commencing singleton removal, initial pass
  188. Sat Aug 29 13:53:19 2026 memory use: 6024.0 MB
  189. Sat Aug 29 13:53:19 2026 reading all ideals from disk
  190. Sat Aug 29 13:53:25 2026 memory use: 14679.6 MB
  191. Sat Aug 29 13:53:40 2026 keeping 252943823 ideals with weight <= 200, target excess is 1500672
  192. Sat Aug 29 13:54:02 2026 commencing in-memory singleton removal
  193. Sat Aug 29 13:54:07 2026 begin with 294627399 relations and 252943823 unique ideals
  194. Sat Aug 29 13:54:27 2026 reduce to 294616790 relations and 252933214 ideals in 8 passes
  195. Sat Aug 29 13:54:27 2026 max relations containing the same ideal: 200
  196. Sat Aug 29 13:55:42 2026 removing 16159105 relations and 14159105 ideals in 2000000 cliques
  197. Sat Aug 29 13:55:48 2026 commencing in-memory singleton removal
  198. Sat Aug 29 13:55:52 2026 begin with 278457685 relations and 252933214 unique ideals
  199. Sat Aug 29 13:56:14 2026 reduce to 277743883 relations and 238053221 ideals in 10 passes
  200. Sat Aug 29 13:56:14 2026 max relations containing the same ideal: 199
  201. Sat Aug 29 13:57:25 2026 removing 12077211 relations and 10077211 ideals in 2000000 cliques
  202. Sat Aug 29 13:57:30 2026 commencing in-memory singleton removal
  203. Sat Aug 29 13:57:34 2026 begin with 265666672 relations and 238053221 unique ideals
  204. Sat Aug 29 13:57:50 2026 reduce to 265226084 relations and 227531943 ideals in 8 passes
  205. Sat Aug 29 13:57:50 2026 max relations containing the same ideal: 195
  206. Sat Aug 29 13:58:58 2026 removing 10781046 relations and 8781046 ideals in 2000000 cliques
  207. Sat Aug 29 13:59:02 2026 commencing in-memory singleton removal
  208. Sat Aug 29 13:59:05 2026 begin with 254445038 relations and 227531943 unique ideals
  209. Sat Aug 29 13:59:21 2026 reduce to 254074832 relations and 218377898 ideals in 8 passes
  210. Sat Aug 29 13:59:21 2026 max relations containing the same ideal: 193
  211. Sat Aug 29 14:00:26 2026 removing 10072642 relations and 8072642 ideals in 2000000 cliques
  212. Sat Aug 29 14:00:30 2026 commencing in-memory singleton removal
  213. Sat Aug 29 14:00:34 2026 begin with 244002190 relations and 218377898 unique ideals
  214. Sat Aug 29 14:00:49 2026 reduce to 243662020 relations and 209962459 ideals in 8 passes
  215. Sat Aug 29 14:00:49 2026 max relations containing the same ideal: 190
  216. Sat Aug 29 14:01:52 2026 removing 9607966 relations and 7607966 ideals in 2000000 cliques
  217. Sat Aug 29 14:01:55 2026 commencing in-memory singleton removal
  218. Sat Aug 29 14:01:59 2026 begin with 234054054 relations and 209962459 unique ideals
  219. Sat Aug 29 14:02:13 2026 reduce to 233731569 relations and 202029534 ideals in 8 passes
  220. Sat Aug 29 14:02:13 2026 max relations containing the same ideal: 182
  221. Sat Aug 29 14:03:13 2026 removing 9283736 relations and 7283736 ideals in 2000000 cliques
  222. Sat Aug 29 14:03:17 2026 commencing in-memory singleton removal
  223. Sat Aug 29 14:03:20 2026 begin with 224447833 relations and 202029534 unique ideals
  224. Sat Aug 29 14:03:33 2026 reduce to 224133238 relations and 194428714 ideals in 7 passes
  225. Sat Aug 29 14:03:33 2026 max relations containing the same ideal: 180
  226. Sat Aug 29 14:04:31 2026 removing 9044189 relations and 7044189 ideals in 2000000 cliques
  227. Sat Aug 29 14:04:34 2026 commencing in-memory singleton removal
  228. Sat Aug 29 14:04:37 2026 begin with 215089049 relations and 194428714 unique ideals
  229. Sat Aug 29 14:04:51 2026 reduce to 214780983 relations and 187073829 ideals in 9 passes
  230. Sat Aug 29 14:04:51 2026 max relations containing the same ideal: 175
  231. Sat Aug 29 14:05:47 2026 removing 8862350 relations and 6862350 ideals in 2000000 cliques
  232. Sat Aug 29 14:05:50 2026 commencing in-memory singleton removal
  233. Sat Aug 29 14:05:53 2026 begin with 205918633 relations and 187073829 unique ideals
  234. Sat Aug 29 14:06:05 2026 reduce to 205609961 relations and 179900213 ideals in 7 passes
  235. Sat Aug 29 14:06:05 2026 max relations containing the same ideal: 171
  236. Sat Aug 29 14:06:58 2026 removing 8728085 relations and 6728085 ideals in 2000000 cliques
  237. Sat Aug 29 14:07:02 2026 commencing in-memory singleton removal
  238. Sat Aug 29 14:07:05 2026 begin with 196881876 relations and 179900213 unique ideals
  239. Sat Aug 29 14:07:17 2026 reduce to 196570423 relations and 172857864 ideals in 9 passes
  240. Sat Aug 29 14:07:17 2026 max relations containing the same ideal: 166
  241. Sat Aug 29 14:08:09 2026 removing 8628778 relations and 6628778 ideals in 2000000 cliques
  242. Sat Aug 29 14:08:12 2026 commencing in-memory singleton removal
  243. Sat Aug 29 14:08:15 2026 begin with 187941645 relations and 172857864 unique ideals
  244. Sat Aug 29 14:08:27 2026 reduce to 187622533 relations and 165907063 ideals in 8 passes
  245. Sat Aug 29 14:08:27 2026 max relations containing the same ideal: 160
  246. Sat Aug 29 14:09:18 2026 removing 8556259 relations and 6556259 ideals in 2000000 cliques
  247. Sat Aug 29 14:09:19 2026 commencing in-memory singleton removal
  248. Sat Aug 29 14:09:22 2026 begin with 179066274 relations and 165907063 unique ideals
  249. Sat Aug 29 14:09:32 2026 reduce to 178739453 relations and 159020912 ideals in 7 passes
  250. Sat Aug 29 14:09:32 2026 max relations containing the same ideal: 157
  251. Sat Aug 29 14:10:21 2026 removing 8506134 relations and 6506134 ideals in 2000000 cliques
  252. Sat Aug 29 14:10:22 2026 commencing in-memory singleton removal
  253. Sat Aug 29 14:10:24 2026 begin with 170233319 relations and 159020912 unique ideals
  254. Sat Aug 29 14:10:35 2026 reduce to 169894242 relations and 152172288 ideals in 7 passes
  255. Sat Aug 29 14:10:35 2026 max relations containing the same ideal: 149
  256. Sat Aug 29 14:11:21 2026 removing 8483154 relations and 6483154 ideals in 2000000 cliques
  257. Sat Aug 29 14:11:22 2026 commencing in-memory singleton removal
  258. Sat Aug 29 14:11:24 2026 begin with 161411088 relations and 152172288 unique ideals
  259. Sat Aug 29 14:11:35 2026 reduce to 161057234 relations and 145331632 ideals in 8 passes
  260. Sat Aug 29 14:11:35 2026 max relations containing the same ideal: 144
  261. Sat Aug 29 14:12:19 2026 removing 8483037 relations and 6483037 ideals in 2000000 cliques
  262. Sat Aug 29 14:12:22 2026 commencing in-memory singleton removal
  263. Sat Aug 29 14:12:22 2026 begin with 152574197 relations and 145331632 unique ideals
  264. Sat Aug 29 14:12:33 2026 reduce to 152201506 relations and 138471947 ideals in 9 passes
  265. Sat Aug 29 14:12:33 2026 max relations containing the same ideal: 138
  266. Sat Aug 29 14:13:16 2026 removing 8497222 relations and 6497222 ideals in 2000000 cliques
  267. Sat Aug 29 14:13:19 2026 commencing in-memory singleton removal
  268. Sat Aug 29 14:13:21 2026 begin with 143704284 relations and 138471947 unique ideals
  269. Sat Aug 29 14:13:28 2026 reduce to 143307018 relations and 131573018 ideals in 8 passes
  270. Sat Aug 29 14:13:28 2026 max relations containing the same ideal: 134
  271. Sat Aug 29 14:14:08 2026 removing 8535749 relations and 6535749 ideals in 2000000 cliques
  272. Sat Aug 29 14:14:10 2026 commencing in-memory singleton removal
  273. Sat Aug 29 14:14:12 2026 begin with 134771269 relations and 131573018 unique ideals
  274. Sat Aug 29 14:14:20 2026 reduce to 134344682 relations and 124605467 ideals in 7 passes
  275. Sat Aug 29 14:14:20 2026 max relations containing the same ideal: 129
  276. Sat Aug 29 14:14:55 2026 removing 8597175 relations and 6597175 ideals in 2000000 cliques
  277. Sat Aug 29 14:14:58 2026 commencing in-memory singleton removal
  278. Sat Aug 29 14:14:59 2026 begin with 125747507 relations and 124605467 unique ideals
  279. Sat Aug 29 14:15:07 2026 reduce to 125286507 relations and 117541401 ideals in 7 passes
  280. Sat Aug 29 14:15:07 2026 max relations containing the same ideal: 123
  281. Sat Aug 29 14:15:43 2026 removing 8681135 relations and 6681135 ideals in 2000000 cliques
  282. Sat Aug 29 14:15:45 2026 commencing in-memory singleton removal
  283. Sat Aug 29 14:15:47 2026 begin with 116605372 relations and 117541401 unique ideals
  284. Sat Aug 29 14:15:55 2026 reduce to 116098471 relations and 110346367 ideals in 8 passes
  285. Sat Aug 29 14:15:55 2026 max relations containing the same ideal: 118
  286. Sat Aug 29 14:16:26 2026 removing 8794788 relations and 6794788 ideals in 2000000 cliques
  287. Sat Aug 29 14:16:29 2026 commencing in-memory singleton removal
  288. Sat Aug 29 14:16:30 2026 begin with 107303683 relations and 110346367 unique ideals
  289. Sat Aug 29 14:16:38 2026 reduce to 106736837 relations and 102976343 ideals in 9 passes
  290. Sat Aug 29 14:16:38 2026 max relations containing the same ideal: 114
  291. Sat Aug 29 14:17:08 2026 removing 8938485 relations and 6938485 ideals in 2000000 cliques
  292. Sat Aug 29 14:17:11 2026 commencing in-memory singleton removal
  293. Sat Aug 29 14:17:12 2026 begin with 97798352 relations and 102976343 unique ideals
  294. Sat Aug 29 14:17:18 2026 reduce to 97156349 relations and 95385801 ideals in 8 passes
  295. Sat Aug 29 14:17:18 2026 max relations containing the same ideal: 103
  296. Sat Aug 29 14:17:46 2026 removing 266167 relations and 236399 ideals in 29768 cliques
  297. Sat Aug 29 14:17:48 2026 commencing in-memory singleton removal
  298. Sat Aug 29 14:17:49 2026 begin with 96890182 relations and 95385801 unique ideals
  299. Sat Aug 29 14:17:53 2026 reduce to 96889723 relations and 95148943 ideals in 5 passes
  300. Sat Aug 29 14:17:53 2026 max relations containing the same ideal: 103
  301. Sat Aug 29 14:17:55 2026 trying target density 80
  302. Sat Aug 29 14:18:00 2026 relations with 0 large ideals: 5566
  303. Sat Aug 29 14:18:00 2026 relations with 1 large ideals: 17839
  304. Sat Aug 29 14:18:00 2026 relations with 2 large ideals: 294349
  305. Sat Aug 29 14:18:00 2026 relations with 3 large ideals: 2087656
  306. Sat Aug 29 14:18:00 2026 relations with 4 large ideals: 8012154
  307. Sat Aug 29 14:18:00 2026 relations with 5 large ideals: 18353340
  308. Sat Aug 29 14:18:00 2026 relations with 6 large ideals: 26241096
  309. Sat Aug 29 14:18:00 2026 relations with 7+ large ideals: 41877723
  310. Sat Aug 29 14:18:00 2026 commencing 2-way merge
  311. Sat Aug 29 14:18:46 2026 reduce to 59100986 relation sets and 57360206 unique ideals
  312. Sat Aug 29 14:18:46 2026 commencing full merge
  313. Sat Aug 29 14:28:45 2026 memory use: 6636.1 MB
  314. Sat Aug 29 14:28:50 2026 found 30572735 cycles, need 30334406
  315. Sat Aug 29 14:28:58 2026 weight of 30334406 cycles is about 2426944660 (80.01/cycle)
  316. Sat Aug 29 14:28:58 2026 distribution of cycle lengths:
  317. Sat Aug 29 14:28:58 2026 1 relations: 3873851
  318. Sat Aug 29 14:28:58 2026 2 relations: 3415961
  319. Sat Aug 29 14:28:58 2026 3 relations: 3413878
  320. Sat Aug 29 14:28:58 2026 4 relations: 3181485
  321. Sat Aug 29 14:28:58 2026 5 relations: 2989363
  322. Sat Aug 29 14:28:58 2026 6 relations: 2685115
  323. Sat Aug 29 14:28:58 2026 7 relations: 2400531
  324. Sat Aug 29 14:28:58 2026 8 relations: 2051187
  325. Sat Aug 29 14:28:58 2026 9 relations: 1677986
  326. Sat Aug 29 14:28:58 2026 10+ relations: 4645049
  327. Sat Aug 29 14:28:58 2026 heaviest cycle: 20 relations
  328. Sat Aug 29 14:29:01 2026 commencing cycle optimization
  329. Sat Aug 29 14:29:46 2026 start with 168670686 relations
  330. Sat Aug 29 14:32:51 2026 pruned 3843489 relations
  331. Sat Aug 29 14:32:54 2026 memory use: 5681.0 MB
  332. Sat Aug 29 14:32:54 2026 distribution of cycle lengths:
  333. Sat Aug 29 14:32:54 2026 1 relations: 3873851
  334. Sat Aug 29 14:32:54 2026 2 relations: 3491427
  335. Sat Aug 29 14:32:54 2026 3 relations: 3526065
  336. Sat Aug 29 14:32:54 2026 4 relations: 3255390
  337. Sat Aug 29 14:32:54 2026 5 relations: 3062246
  338. Sat Aug 29 14:32:54 2026 6 relations: 2731562
  339. Sat Aug 29 14:32:54 2026 7 relations: 2430372
  340. Sat Aug 29 14:32:54 2026 8 relations: 2052184
  341. Sat Aug 29 14:32:54 2026 9 relations: 1658712
  342. Sat Aug 29 14:32:54 2026 10+ relations: 4252597
  343. Sat Aug 29 14:32:54 2026 heaviest cycle: 20 relations
  344. Sat Aug 29 14:35:50 2026 trying target density 100
  345. Sat Aug 29 14:35:57 2026 relations with 0 large ideals: 5566
  346. Sat Aug 29 14:35:57 2026 relations with 1 large ideals: 17839
  347. Sat Aug 29 14:35:57 2026 relations with 2 large ideals: 294349
  348. Sat Aug 29 14:35:57 2026 relations with 3 large ideals: 2087656
  349. Sat Aug 29 14:35:57 2026 relations with 4 large ideals: 8012154
  350. Sat Aug 29 14:35:57 2026 relations with 5 large ideals: 18353340
  351. Sat Aug 29 14:35:57 2026 relations with 6 large ideals: 26241096
  352. Sat Aug 29 14:35:57 2026 relations with 7+ large ideals: 41877723
  353. Sat Aug 29 14:35:57 2026 commencing 2-way merge
  354. Sat Aug 29 14:37:16 2026 reduce to 59100986 relation sets and 57360206 unique ideals
  355. Sat Aug 29 14:37:16 2026 commencing full merge
  356. Sat Aug 29 14:53:26 2026 memory use: 6823.7 MB
  357. Sat Aug 29 14:53:31 2026 found 28104596 cycles, need 27894406
  358. Sat Aug 29 14:53:52 2026 weight of 27894406 cycles is about 2789644178 (100.01/cycle)
  359. Sat Aug 29 14:53:52 2026 distribution of cycle lengths:
  360. Sat Aug 29 14:53:52 2026 1 relations: 2813907
  361. Sat Aug 29 14:53:52 2026 2 relations: 2503898
  362. Sat Aug 29 14:53:52 2026 3 relations: 2522746
  363. Sat Aug 29 14:53:52 2026 4 relations: 2378391
  364. Sat Aug 29 14:53:52 2026 5 relations: 2321951
  365. Sat Aug 29 14:53:52 2026 6 relations: 2220556
  366. Sat Aug 29 14:53:52 2026 7 relations: 2063194
  367. Sat Aug 29 14:53:52 2026 8 relations: 1877538
  368. Sat Aug 29 14:53:52 2026 9 relations: 1698461
  369. Sat Aug 29 14:53:52 2026 10+ relations: 7493764
  370. Sat Aug 29 14:53:52 2026 heaviest cycle: 25 relations
  371. Sat Aug 29 14:53:58 2026 commencing cycle optimization
  372. Sat Aug 29 14:56:29 2026 start with 193303148 relations
  373. Sat Aug 29 15:04:58 2026 pruned 5884350 relations
  374. Sat Aug 29 15:05:02 2026 memory use: 5938.0 MB
  375. Sat Aug 29 15:05:02 2026 distribution of cycle lengths:
  376. Sat Aug 29 15:05:02 2026 1 relations: 2813907
  377. Sat Aug 29 15:05:02 2026 2 relations: 2564610
  378. Sat Aug 29 15:05:02 2026 3 relations: 2614850
  379. Sat Aug 29 15:05:02 2026 4 relations: 2450759
  380. Sat Aug 29 15:05:02 2026 5 relations: 2402618
  381. Sat Aug 29 15:05:02 2026 6 relations: 2280066
  382. Sat Aug 29 15:05:02 2026 7 relations: 2120216
  383. Sat Aug 29 15:05:02 2026 8 relations: 1918856
  384. Sat Aug 29 15:05:02 2026 9 relations: 1724435
  385. Sat Aug 29 15:05:02 2026 10+ relations: 7004089
  386. Sat Aug 29 15:05:02 2026 heaviest cycle: 25 relations
  387. Sat Aug 29 15:06:12 2026 trying target density 120
  388. Sat Aug 29 15:06:20 2026 relations with 0 large ideals: 5566
  389. Sat Aug 29 15:06:20 2026 relations with 1 large ideals: 17839
  390. Sat Aug 29 15:06:20 2026 relations with 2 large ideals: 294349
  391. Sat Aug 29 15:06:20 2026 relations with 3 large ideals: 2087656
  392. Sat Aug 29 15:06:20 2026 relations with 4 large ideals: 8012154
  393. Sat Aug 29 15:06:20 2026 relations with 5 large ideals: 18353340
  394. Sat Aug 29 15:06:20 2026 relations with 6 large ideals: 26241096
  395. Sat Aug 29 15:06:20 2026 relations with 7+ large ideals: 41877723
  396. Sat Aug 29 15:06:20 2026 commencing 2-way merge
  397. Sat Aug 29 15:07:18 2026 reduce to 59100986 relation sets and 57360206 unique ideals
  398. Sat Aug 29 15:07:18 2026 commencing full merge
  399. Sat Aug 29 15:23:57 2026 memory use: 6962.2 MB
  400. Sat Aug 29 15:24:11 2026 found 26288426 cycles, need 26204406
  401. Sat Aug 29 15:24:24 2026 weight of 26204406 cycles is about 3145097428 (120.02/cycle)
  402. Sat Aug 29 15:24:24 2026 distribution of cycle lengths:
  403. Sat Aug 29 15:24:24 2026 1 relations: 2132386
  404. Sat Aug 29 15:24:24 2026 2 relations: 1958757
  405. Sat Aug 29 15:24:24 2026 3 relations: 1972546
  406. Sat Aug 29 15:24:24 2026 4 relations: 1910708
  407. Sat Aug 29 15:24:24 2026 5 relations: 1873456
  408. Sat Aug 29 15:24:24 2026 6 relations: 1834073
  409. Sat Aug 29 15:24:24 2026 7 relations: 1734427
  410. Sat Aug 29 15:24:24 2026 8 relations: 1664711
  411. Sat Aug 29 15:24:24 2026 9 relations: 1554112
  412. Sat Aug 29 15:24:24 2026 10+ relations: 9569230
  413. Sat Aug 29 15:24:24 2026 heaviest cycle: 28 relations
  414. Sat Aug 29 15:24:30 2026 commencing cycle optimization
  415. Sat Aug 29 15:25:27 2026 start with 217122307 relations
  416. Sat Aug 29 15:32:40 2026 pruned 8052921 relations
  417. Sat Aug 29 15:32:41 2026 memory use: 6181.4 MB
  418. Sat Aug 29 15:32:41 2026 distribution of cycle lengths:
  419. Sat Aug 29 15:32:41 2026 1 relations: 2132386
  420. Sat Aug 29 15:32:41 2026 2 relations: 2007310
  421. Sat Aug 29 15:32:41 2026 3 relations: 2049001
  422. Sat Aug 29 15:32:41 2026 4 relations: 1975636
  423. Sat Aug 29 15:32:41 2026 5 relations: 1949261
  424. Sat Aug 29 15:32:41 2026 6 relations: 1896400
  425. Sat Aug 29 15:32:41 2026 7 relations: 1803105
  426. Sat Aug 29 15:32:41 2026 8 relations: 1718843
  427. Sat Aug 29 15:32:41 2026 9 relations: 1602319
  428. Sat Aug 29 15:32:41 2026 10+ relations: 9070145
  429. Sat Aug 29 15:32:41 2026 heaviest cycle: 28 relations
  430. Sat Aug 29 15:33:16 2026 RelProcTime: 9907
  431. Sat Aug 29 15:33:16 2026
  432. Sat Aug 29 15:33:16 2026 commencing linear algebra
  433. Sat Aug 29 15:33:16 2026 using VBITS=256
  434. Sat Aug 29 15:33:16 2026 building matrices for all densities
  435. Sat Aug 29 15:33:16 2026 found 3 density files
  436. Sat Aug 29 15:33:16 2026 building matrix for density 80
  437. Sat Aug 29 15:33:27 2026 read 30334406 cycles
  438. Sat Aug 29 15:33:55 2026 cycles contain 95640719 unique relations
  439. Sat Aug 29 15:36:34 2026 read 95640719 relations
  440. Sat Aug 29 15:37:01 2026 using 20 quadratic characters above 4294917295
  441. Sat Aug 29 15:37:31 2026 building initial matrix
  442. Sat Aug 29 15:47:48 2026 memory use: 13388.1 MB
  443. Sat Aug 29 15:47:56 2026 read 30334406 cycles
  444. Sat Aug 29 15:47:58 2026 matrix is 30334225 x 30334406 (10244.0 MB) with weight 3184323683 (104.97/col)
  445. Sat Aug 29 15:47:58 2026 sparse part has weight 2351713381 (77.53/col)
  446. Sat Aug 29 15:51:08 2026 filtering completed in 2 passes
  447. Sat Aug 29 15:51:13 2026 matrix is 30320709 x 30320888 (10243.0 MB) with weight 3183861460 (105.01/col)
  448. Sat Aug 29 15:51:13 2026 sparse part has weight 2351615856 (77.56/col)
  449. Sat Aug 29 15:51:56 2026 building matrix for density 100
  450. Sat Aug 29 15:51:58 2026 read 27894406 cycles
  451. Sat Aug 29 15:52:31 2026 cycles contain 95687389 unique relations
  452. Sat Aug 29 15:54:29 2026 read 95687389 relations
  453. Sat Aug 29 15:54:56 2026 using 20 quadratic characters above 4294917295
  454. Sat Aug 29 15:55:27 2026 building initial matrix
  455. Sat Aug 29 16:07:02 2026 memory use: 13405.3 MB
  456. Sat Aug 29 16:07:09 2026 read 27894406 cycles
  457. Sat Aug 29 16:07:13 2026 matrix is 27894228 x 27894406 (11322.3 MB) with weight 3477597672 (124.67/col)
  458. Sat Aug 29 16:07:13 2026 sparse part has weight 2661231275 (95.40/col)
  459. Sat Aug 29 16:10:02 2026 filtering completed in 2 passes
  460. Sat Aug 29 16:10:07 2026 matrix is 27888421 x 27888597 (11321.8 MB) with weight 3477360779 (124.69/col)
  461. Sat Aug 29 16:10:07 2026 sparse part has weight 2661171426 (95.42/col)
  462. Sat Aug 29 16:10:53 2026 building matrix for density 120
  463. Sat Aug 29 16:10:55 2026 read 26204406 cycles
  464. Sat Aug 29 16:11:29 2026 cycles contain 95698956 unique relations
  465. Sat Aug 29 16:13:36 2026 read 95698956 relations
  466. Sat Aug 29 16:14:05 2026 using 20 quadratic characters above 4294917295
  467. Sat Aug 29 16:14:36 2026 building initial matrix
  468. Sat Aug 29 16:28:35 2026 memory use: 13373.7 MB
  469. Sat Aug 29 16:28:44 2026 read 26204406 cycles
  470. Sat Aug 29 16:28:47 2026 matrix is 26204228 x 26204406 (12385.5 MB) with weight 3765069105 (143.68/col)
  471. Sat Aug 29 16:28:47 2026 sparse part has weight 2958529143 (112.90/col)
  472. Sat Aug 29 16:31:52 2026 filtering completed in 2 passes
  473. Sat Aug 29 16:31:57 2026 matrix is 26202831 x 26203007 (12385.4 MB) with weight 3765006650 (143.69/col)
  474. Sat Aug 29 16:31:57 2026 sparse part has weight 2958513004 (112.91/col)
  475. Sat Aug 29 16:32:44 2026 BLanczosTime: 3568
  476. Sat Aug 29 16:32:44 2026 elapsed time 03:44:35
  477. Sun Aug 30 00:03:07 2026
  478. Sun Aug 30 00:03:07 2026
  479. Sun Aug 30 00:03:07 2026 Msieve v. 1.54 (SVN unknown)
  480. Sun Aug 30 00:03:07 2026 random seeds: d8908cf9 7d881385
  481. Sun Aug 30 00:03:07 2026 factoring 487194235408152413570165593274858991373630557809569325113298240802570822909586783530693795469461234000283656160276203500867335713087137506498238988613399997710305860768597988367899882133009 (189 digits)
  482. Sun Aug 30 00:03:08 2026 no P-1/P+1/ECM available, skipping
  483. Sun Aug 30 00:03:08 2026 commencing number field sieve (189-digit input)
  484. Sun Aug 30 00:03:08 2026 R0: -3577315645760313198097778795589279996
  485. Sun Aug 30 00:03:08 2026 R1: 71075497734513268579633
  486. Sun Aug 30 00:03:08 2026 A0: 168191854605210811651402817233761188075787625
  487. Sun Aug 30 00:03:08 2026 A1: 21610433970154320500126660444578704066
  488. Sun Aug 30 00:03:08 2026 A2: -549702790160240821627969038100
  489. Sun Aug 30 00:03:08 2026 A3: -10412923781029086738450
  490. Sun Aug 30 00:03:08 2026 A4: 130152079571211
  491. Sun Aug 30 00:03:08 2026 A5: 831600
  492. Sun Aug 30 00:03:08 2026 skew 52563308.26, size 2.474e-18, alpha -6.896, combined = 3.094e-14 rroots = 5
  493. Sun Aug 30 00:03:08 2026
  494. Sun Aug 30 00:03:08 2026 commencing linear algebra
  495. Sun Aug 30 00:03:08 2026 using VBITS=256
  496. Sun Aug 30 00:03:08 2026 skipping matrix build
  497. Sun Aug 30 00:03:16 2026 matrix starts at (0, 0)
  498. Sun Aug 30 00:03:20 2026 matrix is 26202831 x 26203007 (12385.4 MB) with weight 3765006650 (143.69/col)
  499. Sun Aug 30 00:03:20 2026 sparse part has weight 2958513004 (112.91/col)
  500. Sun Aug 30 00:03:20 2026 saving the first 240 matrix rows for later
  501. Sun Aug 30 00:03:29 2026 matrix includes 256 packed rows
  502. Sun Aug 30 00:03:37 2026 matrix is 26202591 x 26203007 (11371.0 MB) with weight 2712423293 (103.52/col)
  503. Sun Aug 30 00:03:37 2026 sparse part has weight 2561579165 (97.76/col)
  504. Sun Aug 30 00:03:37 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  505. Sun Aug 30 00:03:37 2026 selected card has CUDA arch 12.0
  506. Sun Aug 30 00:03:39 2026 computed block_nnz 153761575 (L2 cache 100663296 bytes, average column weight 97.8)
  507. Sun Aug 30 00:03:39 2026 nonzeros per matrix block: 256000000
  508. Sun Aug 30 00:10:57 2026 commencing Lanczos iteration
  509. Sun Aug 30 00:10:59 2026 memory use: 28139.6 MB
  510. Sun Aug 30 00:11:27 2026 linear algebra at 0.1%, ETA 6h10m
  511. Sun Aug 30 00:12:06 2026 checking every 70000 dimensions, checkpointing every 4270000 dimensions
  512. Sun Aug 30 06:21:04 2026 lanczos halted after 102661 iterations (dim = 26202591)
  513. Sun Aug 30 06:23:20 2026 recovered 32 nontrivial dependencies
  514. Sun Aug 30 06:23:21 2026 BLanczosTime: 22813
  515. Sun Aug 30 06:23:21 2026 elapsed time 06:20:14
  516. Sun Aug 30 09:38:03 2026
  517. Sun Aug 30 09:38:03 2026
  518. Sun Aug 30 09:38:03 2026 Msieve v. 1.54 (SVN unknown)
  519. Sun Aug 30 09:38:03 2026 random seeds: d86d1f18 fd3d6915
  520. Sun Aug 30 09:38:03 2026 Using 14 OpenMP threads
  521. Sun Aug 30 09:38:03 2026 factoring 487194235408152413570165593274858991373630557809569325113298240802570822909586783530693795469461234000283656160276203500867335713087137506498238988613399997710305860768597988367899882133009 (189 digits)
  522. Sun Aug 30 09:38:03 2026 no P-1/P+1/ECM available, skipping
  523. Sun Aug 30 09:38:03 2026 commencing number field sieve (189-digit input)
  524. Sun Aug 30 09:38:03 2026 R0: -3577315645760313198097778795589279996
  525. Sun Aug 30 09:38:03 2026 R1: 71075497734513268579633
  526. Sun Aug 30 09:38:03 2026 A0: 168191854605210811651402817233761188075787625
  527. Sun Aug 30 09:38:03 2026 A1: 21610433970154320500126660444578704066
  528. Sun Aug 30 09:38:03 2026 A2: -549702790160240821627969038100
  529. Sun Aug 30 09:38:03 2026 A3: -10412923781029086738450
  530. Sun Aug 30 09:38:03 2026 A4: 130152079571211
  531. Sun Aug 30 09:38:03 2026 A5: 831600
  532. Sun Aug 30 09:38:03 2026 skew 52563308.26, size 2.474e-18, alpha -6.896, combined = 3.094e-14 rroots = 5
  533. Sun Aug 30 09:38:03 2026
  534. Sun Aug 30 09:38:03 2026 commencing square root phase
  535. Sun Aug 30 09:38:03 2026 reading relations for dependency 1
  536. Sun Aug 30 09:38:05 2026 read 13099498 cycles
  537. Sun Aug 30 09:38:22 2026 cycles contain 47851358 unique relations
  538. Sun Aug 30 09:55:55 2026 read 47851358 relations
  539. Sun Aug 30 09:58:29 2026 multiplying 47851358 relations
  540. Sun Aug 30 10:03:32 2026 multiply complete, coefficients have about 2859.60 million bits
  541. Sun Aug 30 10:03:37 2026 initial square root is modulo 2592287
  542. Sun Aug 30 10:12:55 2026 sqrtTime: 2092
  543. Sun Aug 30 10:12:55 2026 p88 factor: 3297883626356729893459125420173251680840150790778756331656015491815879860792410012103713
  544. Sun Aug 30 10:12:55 2026 p102 factor: 147729359372929229898870815341026522767850121074511703260397508272077041567111552291017914043094442993
  545. Sun Aug 30 10:12:55 2026 elapsed time 00:34:52
  546.  
Tags: math
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