kyleaskine

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Aug 18th, 2026
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  1. Mon Aug 17 18:43:54 2026
  2. Mon Aug 17 18:43:54 2026
  3. Mon Aug 17 18:43:54 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Aug 17 18:43:54 2026 random seeds: bf96c88a efd4b92f
  5. Mon Aug 17 18:43:54 2026 Using 8 OpenMP threads
  6. Mon Aug 17 18:43:54 2026 factoring 374284693381025579027111017160394618574401681576251914209597326722770884979466252320868656187124465264803705385019981680171025450689365559861116067352495098829262967668321266530114977094261 (189 digits)
  7. Mon Aug 17 18:43:55 2026 no P-1/P+1/ECM available, skipping
  8. Mon Aug 17 18:43:55 2026 commencing number field sieve (189-digit input)
  9. Mon Aug 17 18:43:55 2026 R0: -4856108367524650701567963126287432252
  10. Mon Aug 17 18:43:55 2026 R1: 324763030024619547426691
  11. Mon Aug 17 18:43:55 2026 A0: -17720022468083119892071473235674138814979301
  12. Mon Aug 17 18:43:55 2026 A1: 9844266995084515693076293251894663106
  13. Mon Aug 17 18:43:55 2026 A2: 241945312186268006801267996769
  14. Mon Aug 17 18:43:55 2026 A3: -14245405149884551020594
  15. Mon Aug 17 18:43:55 2026 A4: -71874481642660
  16. Mon Aug 17 18:43:55 2026 A5: 693000
  17. Mon Aug 17 18:43:55 2026 skew 42895591.70, size 2.563e-18, alpha -7.101, combined = 3.187e-14 rroots = 5
  18. Mon Aug 17 18:43:55 2026
  19. Mon Aug 17 18:43:55 2026 commencing relation filtering
  20. Mon Aug 17 18:43:55 2026 setting 4 target densities:Mon Aug 17 18:43:55 2026 90Mon Aug 17 18:43:55 2026 110Mon Aug 17 18:43:55 2026 130Mon Aug 17 18:43:55 2026 140Mon Aug 17 18:43:55 2026
  21. Mon Aug 17 18:43:55 2026 estimated available RAM is 78540.1 MB
  22. Mon Aug 17 18:43:55 2026 commencing duplicate removal, pass 1
  23. Mon Aug 17 18:44:02 2026 error -1 reading relation 756466
  24. Mon Aug 17 18:44:42 2026 error -1 reading relation 8604417
  25. Mon Aug 17 18:45:10 2026 error -1 reading relation 20332590
  26. Mon Aug 17 18:45:19 2026 error -1 reading relation 24253665
  27. Mon Aug 17 18:46:49 2026 error -1 reading relation 61955983
  28. Mon Aug 17 18:47:13 2026 error -1 reading relation 72163435
  29. Mon Aug 17 18:47:37 2026 error -1 reading relation 81965290
  30. Mon Aug 17 18:49:38 2026 error -1 reading relation 131459958
  31. Mon Aug 17 18:49:49 2026 error -1 reading relation 135920907
  32. Mon Aug 17 18:49:51 2026 error -1 reading relation 136771684
  33. Mon Aug 17 18:49:59 2026 error -1 reading relation 140871182
  34. Mon Aug 17 18:50:21 2026 error -1 reading relation 149540141
  35. Mon Aug 17 18:50:26 2026 error -1 reading relation 151640465
  36. Mon Aug 17 18:50:34 2026 error -1 reading relation 155484803
  37. Mon Aug 17 18:50:48 2026 error -1 reading relation 161143342
  38. Mon Aug 17 18:51:21 2026 error -1 reading relation 175012879
  39. Mon Aug 17 18:51:33 2026 error -1 reading relation 181051034
  40. Mon Aug 17 18:51:49 2026 error -1 reading relation 186992864
  41. Mon Aug 17 18:52:21 2026 error -15 reading relation 200642541
  42. Mon Aug 17 18:52:26 2026 error -1 reading relation 202651865
  43. Mon Aug 17 18:52:36 2026 error -1 reading relation 207469671
  44. Mon Aug 17 18:53:04 2026 error -1 reading relation 224588122
  45. Mon Aug 17 18:53:19 2026 error -1 reading relation 233596960
  46. Mon Aug 17 18:53:32 2026 error -1 reading relation 245390887
  47. Mon Aug 17 18:53:32 2026 error -1 reading relation 245508932
  48. Mon Aug 17 18:53:40 2026 error -1 reading relation 252147636
  49. Mon Aug 17 18:53:42 2026 error -1 reading relation 253296635
  50. Mon Aug 17 18:53:44 2026 error -1 reading relation 255373611
  51. Mon Aug 17 18:53:46 2026 error -1 reading relation 256347429
  52. Mon Aug 17 18:53:58 2026 error -1 reading relation 266248210
  53. Mon Aug 17 18:54:02 2026 error -1 reading relation 271114563
  54. Mon Aug 17 18:54:02 2026 error -1 reading relation 271115083
  55. Mon Aug 17 18:54:02 2026 error -1 reading relation 271247978
  56. Mon Aug 17 18:54:04 2026 error -1 reading relation 273397249
  57. Mon Aug 17 18:54:06 2026 error -1 reading relation 274428924
  58. Mon Aug 17 18:54:08 2026 error -1 reading relation 276541473
  59. Mon Aug 17 18:54:10 2026 error -1 reading relation 277980000
  60. Mon Aug 17 18:54:13 2026 error -1 reading relation 280343974
  61. Mon Aug 17 18:54:18 2026 error -5 reading relation 284436791
  62. Mon Aug 17 18:54:28 2026 error -1 reading relation 293247931
  63. Mon Aug 17 18:54:35 2026 error -1 reading relation 300578128
  64. Mon Aug 17 18:54:38 2026 error -1 reading relation 303074161
  65. Mon Aug 17 18:54:44 2026 error -1 reading relation 308208332
  66. Mon Aug 17 18:54:49 2026 error -1 reading relation 312078159
  67. Mon Aug 17 18:54:49 2026 error -1 reading relation 312098907
  68. Mon Aug 17 18:54:50 2026 error -1 reading relation 312778786
  69. Mon Aug 17 18:54:50 2026 error -1 reading relation 313016724
  70. Mon Aug 17 18:54:50 2026 error -1 reading relation 313236911
  71. Mon Aug 17 18:54:53 2026 error -1 reading relation 315877792
  72. Mon Aug 17 18:55:00 2026 error -1 reading relation 322698230
  73. Mon Aug 17 18:55:06 2026 error -6 reading relation 327592458
  74. Mon Aug 17 18:55:06 2026 error -1 reading relation 328104465
  75. Mon Aug 17 18:55:09 2026 error -1 reading relation 330427523
  76. Mon Aug 17 18:55:14 2026 error -1 reading relation 334676933
  77. Mon Aug 17 18:55:22 2026 error -1 reading relation 341099765
  78. Mon Aug 17 18:55:25 2026 error -1 reading relation 343718617
  79. Mon Aug 17 18:55:26 2026 error -1 reading relation 344348212
  80. Mon Aug 17 18:55:27 2026 error -1 reading relation 345164277
  81. Mon Aug 17 18:55:28 2026 error -1 reading relation 346205465
  82. Mon Aug 17 18:55:29 2026 error -1 reading relation 348767673
  83. Mon Aug 17 18:55:30 2026 error -1 reading relation 349183054
  84. Mon Aug 17 18:55:35 2026 error -1 reading relation 353123653
  85. Mon Aug 17 18:55:39 2026 error -1 reading relation 356667212
  86. Mon Aug 17 18:55:42 2026 error -1 reading relation 359744998
  87. Mon Aug 17 18:55:46 2026 error -1 reading relation 362491803
  88. Mon Aug 17 18:55:51 2026 error -1 reading relation 367171483
  89. Mon Aug 17 18:55:52 2026 error -1 reading relation 367911024
  90. Mon Aug 17 18:56:34 2026 error -1 reading relation 388993776
  91. Mon Aug 17 18:56:38 2026 error -1 reading relation 390904812
  92. Mon Aug 17 18:56:39 2026 error -1 reading relation 391071917
  93. Mon Aug 17 18:56:44 2026 error -1 reading relation 392876714
  94. Mon Aug 17 18:56:45 2026 error -1 reading relation 393474304
  95. Mon Aug 17 18:56:46 2026 error -1 reading relation 393963397
  96. Mon Aug 17 18:56:53 2026 error -1 reading relation 396601296
  97. Mon Aug 17 18:56:56 2026 error -1 reading relation 397678657
  98. Mon Aug 17 18:56:56 2026 error -1 reading relation 397681453
  99. Mon Aug 17 18:56:58 2026 error -1 reading relation 398707946
  100. Mon Aug 17 18:57:00 2026 error -1 reading relation 399285245
  101. Mon Aug 17 18:57:00 2026 error -1 reading relation 399324050
  102. Mon Aug 17 18:57:49 2026 error -1 reading relation 420260435
  103. Mon Aug 17 18:57:51 2026 error -1 reading relation 420957940
  104. Mon Aug 17 18:57:52 2026 error -1 reading relation 421510245
  105. Mon Aug 17 18:57:53 2026 error -1 reading relation 421777581
  106. Mon Aug 17 18:57:59 2026 error -1 reading relation 424188869
  107. Mon Aug 17 18:58:21 2026 error -1 reading relation 433357688
  108. Mon Aug 17 18:58:24 2026 error -1 reading relation 434673010
  109. Mon Aug 17 18:58:38 2026 error -1 reading relation 440459942
  110. Mon Aug 17 18:58:39 2026 error -1 reading relation 440845687
  111. Mon Aug 17 18:59:24 2026 error -1 reading relation 458071182
  112. Mon Aug 17 18:59:36 2026 error -1 reading relation 462963627
  113. Mon Aug 17 18:59:51 2026 error -1 reading relation 468177399
  114. Mon Aug 17 19:00:28 2026 error -1 reading relation 482550147
  115. Mon Aug 17 19:00:37 2026 error -1 reading relation 486931145
  116. Mon Aug 17 19:01:07 2026 error -1 reading relation 498078012
  117. Mon Aug 17 19:01:22 2026 error -5 reading relation 503381328
  118. Mon Aug 17 19:01:34 2026 error -1 reading relation 508221273
  119. Mon Aug 17 19:01:37 2026 error -1 reading relation 509167145
  120. Mon Aug 17 19:01:37 2026 error -1 reading relation 509170867
  121. Mon Aug 17 19:01:37 2026 error -1 reading relation 509364571
  122. Mon Aug 17 19:01:51 2026 error -1 reading relation 514111761
  123. Mon Aug 17 19:01:57 2026 error -1 reading relation 516210910
  124. Mon Aug 17 19:02:02 2026 error -1 reading relation 518948982
  125. Mon Aug 17 19:02:03 2026 error -1 reading relation 519052435
  126. Mon Aug 17 19:02:03 2026 error -1 reading relation 519061681
  127. Mon Aug 17 19:02:08 2026 error -1 reading relation 520995982
  128. Mon Aug 17 19:02:22 2026 error -1 reading relation 525760692
  129. Mon Aug 17 19:02:27 2026 error -1 reading relation 527491174
  130. Mon Aug 17 19:02:31 2026 error -1 reading relation 529092029
  131. Mon Aug 17 19:02:40 2026 error -1 reading relation 532982407
  132. Mon Aug 17 19:02:40 2026 error -1 reading relation 532991391
  133. Mon Aug 17 19:02:44 2026 error -1 reading relation 534583071
  134. Mon Aug 17 19:02:54 2026 error -1 reading relation 538203697
  135. Mon Aug 17 19:02:59 2026 error -1 reading relation 539881952
  136. Mon Aug 17 19:02:59 2026 error -1 reading relation 540199038
  137. Mon Aug 17 19:03:00 2026 error -1 reading relation 540553394
  138. Mon Aug 17 19:03:40 2026 error -1 reading relation 556906449
  139. Mon Aug 17 19:03:50 2026 error -1 reading relation 560868677
  140. Mon Aug 17 19:03:51 2026 error -1 reading relation 561230060
  141. Mon Aug 17 19:04:03 2026 error -1 reading relation 565683734
  142. Mon Aug 17 19:04:18 2026 error -1 reading relation 571745718
  143. Mon Aug 17 19:04:28 2026 error -1 reading relation 575342269
  144. Mon Aug 17 19:04:33 2026 error -1 reading relation 577071217
  145. Mon Aug 17 19:04:33 2026 error -1 reading relation 577071473
  146. Mon Aug 17 19:05:27 2026 error -1 reading relation 598279570
  147. Mon Aug 17 19:05:56 2026 error -1 reading relation 609472210
  148. Mon Aug 17 19:06:15 2026 error -1 reading relation 616705639
  149. Mon Aug 17 19:06:32 2026 error -1 reading relation 622948909
  150. Mon Aug 17 19:06:32 2026 error -1 reading relation 622953492
  151. Mon Aug 17 19:06:32 2026 error -1 reading relation 623034069
  152. Mon Aug 17 19:06:38 2026 error -15 reading relation 625758046
  153. Mon Aug 17 19:06:40 2026 error -1 reading relation 626568467
  154. Mon Aug 17 19:06:44 2026 error -1 reading relation 627958715
  155. Mon Aug 17 19:06:52 2026 error -1 reading relation 630764577
  156. Mon Aug 17 19:06:55 2026 error -1 reading relation 631726226
  157. Mon Aug 17 19:07:04 2026 error -1 reading relation 634158043
  158. Mon Aug 17 19:07:05 2026 error -1 reading relation 634414858
  159. Mon Aug 17 19:07:12 2026 error -1 reading relation 636809422
  160. Mon Aug 17 19:07:21 2026 error -1 reading relation 638956188
  161. Mon Aug 17 19:07:35 2026 error -1 reading relation 643116190
  162. Mon Aug 17 19:07:47 2026 error -1 reading relation 646689438
  163. Mon Aug 17 19:07:57 2026 error -1 reading relation 649573077
  164. Mon Aug 17 19:08:00 2026 error -1 reading relation 650399880
  165. Mon Aug 17 19:08:01 2026 error -1 reading relation 650814187
  166. Mon Aug 17 19:08:02 2026 error -1 reading relation 651044163
  167. Mon Aug 17 19:08:05 2026 skipped 3 relations with b > 2^32
  168. Mon Aug 17 19:08:05 2026 skipped 5 relations with composite factors
  169. Mon Aug 17 19:08:05 2026 skipped 909 malformed relations
  170. Mon Aug 17 19:08:05 2026 found 133602394 hash collisions in 651773243 relations
  171. Mon Aug 17 19:08:19 2026 added 121247 free relations
  172. Mon Aug 17 19:08:19 2026 commencing duplicate removal, pass 2
  173. Mon Aug 17 19:14:05 2026 found 142408011 duplicates and 509486479 unique relations
  174. Mon Aug 17 19:14:05 2026 memory use: 3411.0 MB
  175. Mon Aug 17 19:14:05 2026 reading ideals above 274006016
  176. Mon Aug 17 19:14:05 2026 commencing singleton removal, initial pass
  177. Mon Aug 17 19:33:06 2026 memory use: 11024.0 MB
  178. Mon Aug 17 19:33:07 2026 reading all ideals from disk
  179. Mon Aug 17 19:33:38 2026 memory use: 13459.9 MB
  180. Mon Aug 17 19:34:16 2026 commencing in-memory singleton removal
  181. Mon Aug 17 19:34:19 2026 begin with 509486479 relations and 454896536 unique ideals
  182. Mon Aug 17 19:34:53 2026 reduce to 308422653 relations and 231817292 ideals in 16 passes
  183. Mon Aug 17 19:34:53 2026 max relations containing the same ideal: 32
  184. Mon Aug 17 19:35:00 2026 reading ideals above 720000
  185. Mon Aug 17 19:35:01 2026 commencing singleton removal, initial pass
  186. Mon Aug 17 19:55:36 2026 memory use: 6024.0 MB
  187. Mon Aug 17 19:55:36 2026 reading all ideals from disk
  188. Mon Aug 17 19:55:53 2026 memory use: 15347.7 MB
  189. Mon Aug 17 19:56:16 2026 keeping 260082254 ideals with weight <= 200, target excess is 1569142
  190. Mon Aug 17 19:56:44 2026 commencing in-memory singleton removal
  191. Mon Aug 17 19:56:49 2026 begin with 308422653 relations and 260082254 unique ideals
  192. Mon Aug 17 19:57:13 2026 reduce to 308415138 relations and 260074739 ideals in 9 passes
  193. Mon Aug 17 19:57:13 2026 max relations containing the same ideal: 200
  194. Mon Aug 17 19:58:43 2026 removing 15596971 relations and 13596971 ideals in 2000000 cliques
  195. Mon Aug 17 19:58:48 2026 commencing in-memory singleton removal
  196. Mon Aug 17 19:58:53 2026 begin with 292818167 relations and 260074739 unique ideals
  197. Mon Aug 17 19:59:11 2026 reduce to 292192880 relations and 245846702 ideals in 8 passes
  198. Mon Aug 17 19:59:11 2026 max relations containing the same ideal: 200
  199. Mon Aug 17 20:00:28 2026 removing 11664276 relations and 9664276 ideals in 2000000 cliques
  200. Mon Aug 17 20:00:31 2026 commencing in-memory singleton removal
  201. Mon Aug 17 20:00:35 2026 begin with 280528604 relations and 245846702 unique ideals
  202. Mon Aug 17 20:00:55 2026 reduce to 280141147 relations and 235791974 ideals in 8 passes
  203. Mon Aug 17 20:00:55 2026 max relations containing the same ideal: 197
  204. Mon Aug 17 20:02:08 2026 removing 10424793 relations and 8424793 ideals in 2000000 cliques
  205. Mon Aug 17 20:02:12 2026 commencing in-memory singleton removal
  206. Mon Aug 17 20:02:16 2026 begin with 269716354 relations and 235791974 unique ideals
  207. Mon Aug 17 20:02:33 2026 reduce to 269389361 relations and 227037728 ideals in 8 passes
  208. Mon Aug 17 20:02:33 2026 max relations containing the same ideal: 193
  209. Mon Aug 17 20:03:41 2026 removing 9741896 relations and 7741896 ideals in 2000000 cliques
  210. Mon Aug 17 20:03:46 2026 commencing in-memory singleton removal
  211. Mon Aug 17 20:03:49 2026 begin with 259647465 relations and 227037728 unique ideals
  212. Mon Aug 17 20:04:03 2026 reduce to 259351217 relations and 218997301 ideals in 7 passes
  213. Mon Aug 17 20:04:03 2026 max relations containing the same ideal: 190
  214. Mon Aug 17 20:05:09 2026 removing 9285911 relations and 7285911 ideals in 2000000 cliques
  215. Mon Aug 17 20:05:13 2026 commencing in-memory singleton removal
  216. Mon Aug 17 20:05:16 2026 begin with 250065306 relations and 218997301 unique ideals
  217. Mon Aug 17 20:05:30 2026 reduce to 249785017 relations and 211429048 ideals in 7 passes
  218. Mon Aug 17 20:05:30 2026 max relations containing the same ideal: 189
  219. Mon Aug 17 20:06:33 2026 removing 8965704 relations and 6965704 ideals in 2000000 cliques
  220. Mon Aug 17 20:06:37 2026 commencing in-memory singleton removal
  221. Mon Aug 17 20:06:41 2026 begin with 240819313 relations and 211429048 unique ideals
  222. Mon Aug 17 20:06:57 2026 reduce to 240548333 relations and 204190357 ideals in 8 passes
  223. Mon Aug 17 20:06:57 2026 max relations containing the same ideal: 186
  224. Mon Aug 17 20:07:58 2026 removing 8717768 relations and 6717768 ideals in 2000000 cliques
  225. Mon Aug 17 20:08:02 2026 commencing in-memory singleton removal
  226. Mon Aug 17 20:08:03 2026 begin with 231830565 relations and 204190357 unique ideals
  227. Mon Aug 17 20:08:19 2026 reduce to 231565064 relations and 197205016 ideals in 8 passes
  228. Mon Aug 17 20:08:19 2026 max relations containing the same ideal: 178
  229. Mon Aug 17 20:09:17 2026 removing 8538205 relations and 6538205 ideals in 2000000 cliques
  230. Mon Aug 17 20:09:20 2026 commencing in-memory singleton removal
  231. Mon Aug 17 20:09:23 2026 begin with 223026859 relations and 197205016 unique ideals
  232. Mon Aug 17 20:09:34 2026 reduce to 222764409 relations and 190402263 ideals in 7 passes
  233. Mon Aug 17 20:09:34 2026 max relations containing the same ideal: 174
  234. Mon Aug 17 20:10:31 2026 removing 8392960 relations and 6392960 ideals in 2000000 cliques
  235. Mon Aug 17 20:10:33 2026 commencing in-memory singleton removal
  236. Mon Aug 17 20:10:35 2026 begin with 214371449 relations and 190402263 unique ideals
  237. Mon Aug 17 20:10:48 2026 reduce to 214107183 relations and 183742901 ideals in 7 passes
  238. Mon Aug 17 20:10:48 2026 max relations containing the same ideal: 170
  239. Mon Aug 17 20:11:41 2026 removing 8283868 relations and 6283868 ideals in 2000000 cliques
  240. Mon Aug 17 20:11:45 2026 commencing in-memory singleton removal
  241. Mon Aug 17 20:11:47 2026 begin with 205823315 relations and 183742901 unique ideals
  242. Mon Aug 17 20:11:59 2026 reduce to 205556178 relations and 177189633 ideals in 7 passes
  243. Mon Aug 17 20:11:59 2026 max relations containing the same ideal: 165
  244. Mon Aug 17 20:12:50 2026 removing 8197263 relations and 6197263 ideals in 2000000 cliques
  245. Mon Aug 17 20:12:53 2026 commencing in-memory singleton removal
  246. Mon Aug 17 20:12:56 2026 begin with 197358915 relations and 177189633 unique ideals
  247. Mon Aug 17 20:13:07 2026 reduce to 197087081 relations and 170718125 ideals in 7 passes
  248. Mon Aug 17 20:13:07 2026 max relations containing the same ideal: 159
  249. Mon Aug 17 20:13:56 2026 removing 8135795 relations and 6135795 ideals in 2000000 cliques
  250. Mon Aug 17 20:14:00 2026 commencing in-memory singleton removal
  251. Mon Aug 17 20:14:02 2026 begin with 188951286 relations and 170718125 unique ideals
  252. Mon Aug 17 20:14:14 2026 reduce to 188673238 relations and 164301723 ideals in 8 passes
  253. Mon Aug 17 20:14:14 2026 max relations containing the same ideal: 156
  254. Mon Aug 17 20:15:02 2026 removing 8091542 relations and 6091542 ideals in 2000000 cliques
  255. Mon Aug 17 20:15:05 2026 commencing in-memory singleton removal
  256. Mon Aug 17 20:15:08 2026 begin with 180581696 relations and 164301723 unique ideals
  257. Mon Aug 17 20:15:18 2026 reduce to 180296028 relations and 157921738 ideals in 7 passes
  258. Mon Aug 17 20:15:18 2026 max relations containing the same ideal: 150
  259. Mon Aug 17 20:16:04 2026 removing 8064232 relations and 6064232 ideals in 2000000 cliques
  260. Mon Aug 17 20:16:07 2026 commencing in-memory singleton removal
  261. Mon Aug 17 20:16:09 2026 begin with 172231796 relations and 157921738 unique ideals
  262. Mon Aug 17 20:16:19 2026 reduce to 171934014 relations and 151556767 ideals in 7 passes
  263. Mon Aug 17 20:16:19 2026 max relations containing the same ideal: 146
  264. Mon Aug 17 20:17:03 2026 removing 8057063 relations and 6057063 ideals in 2000000 cliques
  265. Mon Aug 17 20:17:06 2026 commencing in-memory singleton removal
  266. Mon Aug 17 20:17:08 2026 begin with 163876951 relations and 151556767 unique ideals
  267. Mon Aug 17 20:17:19 2026 reduce to 163564872 relations and 145184457 ideals in 8 passes
  268. Mon Aug 17 20:17:19 2026 max relations containing the same ideal: 140
  269. Mon Aug 17 20:18:00 2026 removing 8059654 relations and 6059654 ideals in 2000000 cliques
  270. Mon Aug 17 20:18:03 2026 commencing in-memory singleton removal
  271. Mon Aug 17 20:18:05 2026 begin with 155505218 relations and 145184457 unique ideals
  272. Mon Aug 17 20:18:15 2026 reduce to 155178273 relations and 138794372 ideals in 8 passes
  273. Mon Aug 17 20:18:15 2026 max relations containing the same ideal: 135
  274. Mon Aug 17 20:18:55 2026 removing 8083759 relations and 6083759 ideals in 2000000 cliques
  275. Mon Aug 17 20:18:58 2026 commencing in-memory singleton removal
  276. Mon Aug 17 20:19:00 2026 begin with 147094514 relations and 138794372 unique ideals
  277. Mon Aug 17 20:19:09 2026 reduce to 146749862 relations and 132362025 ideals in 8 passes
  278. Mon Aug 17 20:19:09 2026 max relations containing the same ideal: 130
  279. Mon Aug 17 20:19:49 2026 removing 8121320 relations and 6121320 ideals in 2000000 cliques
  280. Mon Aug 17 20:19:50 2026 commencing in-memory singleton removal
  281. Mon Aug 17 20:19:51 2026 begin with 138628542 relations and 132362025 unique ideals
  282. Mon Aug 17 20:20:00 2026 reduce to 138259511 relations and 125867164 ideals in 8 passes
  283. Mon Aug 17 20:20:00 2026 max relations containing the same ideal: 126
  284. Mon Aug 17 20:20:38 2026 removing 8168801 relations and 6168801 ideals in 2000000 cliques
  285. Mon Aug 17 20:20:41 2026 commencing in-memory singleton removal
  286. Mon Aug 17 20:20:42 2026 begin with 130090710 relations and 125867164 unique ideals
  287. Mon Aug 17 20:20:49 2026 reduce to 129695269 relations and 119297856 ideals in 7 passes
  288. Mon Aug 17 20:20:49 2026 max relations containing the same ideal: 121
  289. Mon Aug 17 20:21:23 2026 removing 8241811 relations and 6241811 ideals in 2000000 cliques
  290. Mon Aug 17 20:21:25 2026 commencing in-memory singleton removal
  291. Mon Aug 17 20:21:27 2026 begin with 121453458 relations and 119297856 unique ideals
  292. Mon Aug 17 20:21:33 2026 reduce to 121023669 relations and 112620509 ideals in 7 passes
  293. Mon Aug 17 20:21:33 2026 max relations containing the same ideal: 116
  294. Mon Aug 17 20:22:07 2026 removing 8330074 relations and 6330074 ideals in 2000000 cliques
  295. Mon Aug 17 20:22:10 2026 commencing in-memory singleton removal
  296. Mon Aug 17 20:22:11 2026 begin with 112693595 relations and 112620509 unique ideals
  297. Mon Aug 17 20:22:17 2026 reduce to 112219844 relations and 105810045 ideals in 7 passes
  298. Mon Aug 17 20:22:17 2026 max relations containing the same ideal: 112
  299. Mon Aug 17 20:22:49 2026 removing 8450407 relations and 6450407 ideals in 2000000 cliques
  300. Mon Aug 17 20:22:52 2026 commencing in-memory singleton removal
  301. Mon Aug 17 20:22:51 2026 begin with 103769437 relations and 105810045 unique ideals
  302. Mon Aug 17 20:22:57 2026 reduce to 103241061 relations and 98823300 ideals in 8 passes
  303. Mon Aug 17 20:22:57 2026 max relations containing the same ideal: 103
  304. Mon Aug 17 20:23:27 2026 removing 8593523 relations and 6593523 ideals in 2000000 cliques
  305. Mon Aug 17 20:23:29 2026 commencing in-memory singleton removal
  306. Mon Aug 17 20:23:30 2026 begin with 94647538 relations and 98823300 unique ideals
  307. Mon Aug 17 20:23:36 2026 reduce to 94051956 relations and 91624506 ideals in 8 passes
  308. Mon Aug 17 20:23:36 2026 max relations containing the same ideal: 96
  309. Mon Aug 17 20:24:03 2026 removing 3369238 relations and 2761993 ideals in 607245 cliques
  310. Mon Aug 17 20:24:05 2026 commencing in-memory singleton removal
  311. Mon Aug 17 20:24:06 2026 begin with 90682718 relations and 91624506 unique ideals
  312. Mon Aug 17 20:24:11 2026 reduce to 90592078 relations and 88771380 ideals in 7 passes
  313. Mon Aug 17 20:24:11 2026 max relations containing the same ideal: 94
  314. Mon Aug 17 20:24:38 2026 trying target density 90
  315. Mon Aug 17 20:24:45 2026 relations with 0 large ideals: 5806
  316. Mon Aug 17 20:24:45 2026 relations with 1 large ideals: 21163
  317. Mon Aug 17 20:24:45 2026 relations with 2 large ideals: 336106
  318. Mon Aug 17 20:24:45 2026 relations with 3 large ideals: 2276431
  319. Mon Aug 17 20:24:45 2026 relations with 4 large ideals: 8325398
  320. Mon Aug 17 20:24:45 2026 relations with 5 large ideals: 18175414
  321. Mon Aug 17 20:24:45 2026 relations with 6 large ideals: 24764347
  322. Mon Aug 17 20:24:45 2026 relations with 7+ large ideals: 36687413
  323. Mon Aug 17 20:24:45 2026 commencing 2-way merge
  324. Mon Aug 17 20:25:26 2026 reduce to 55575269 relation sets and 53754571 unique ideals
  325. Mon Aug 17 20:25:26 2026 commencing full merge
  326. Mon Aug 17 20:36:28 2026 memory use: 6356.2 MB
  327. Mon Aug 17 20:36:33 2026 found 27683086 cycles, need 27436771
  328. Mon Aug 17 20:36:40 2026 weight of 27436771 cycles is about 2469802250 (90.02/cycle)
  329. Mon Aug 17 20:36:40 2026 distribution of cycle lengths:
  330. Mon Aug 17 20:36:40 2026 1 relations: 3011213
  331. Mon Aug 17 20:36:40 2026 2 relations: 2701828
  332. Mon Aug 17 20:36:40 2026 3 relations: 2733096
  333. Mon Aug 17 20:36:40 2026 4 relations: 2640349
  334. Mon Aug 17 20:36:40 2026 5 relations: 2534697
  335. Mon Aug 17 20:36:40 2026 6 relations: 2363253
  336. Mon Aug 17 20:36:40 2026 7 relations: 2157565
  337. Mon Aug 17 20:36:40 2026 8 relations: 1933642
  338. Mon Aug 17 20:36:40 2026 9 relations: 1676568
  339. Mon Aug 17 20:36:40 2026 10+ relations: 5684560
  340. Mon Aug 17 20:36:40 2026 heaviest cycle: 21 relations
  341. Mon Aug 17 20:36:45 2026 commencing cycle optimization
  342. Mon Aug 17 20:37:23 2026 start with 169962864 relations
  343. Mon Aug 17 20:40:39 2026 pruned 4627778 relations
  344. Mon Aug 17 20:40:42 2026 memory use: 5449.0 MB
  345. Mon Aug 17 20:40:42 2026 distribution of cycle lengths:
  346. Mon Aug 17 20:40:42 2026 1 relations: 3011213
  347. Mon Aug 17 20:40:42 2026 2 relations: 2765955
  348. Mon Aug 17 20:40:42 2026 3 relations: 2830609
  349. Mon Aug 17 20:40:42 2026 4 relations: 2715077
  350. Mon Aug 17 20:40:42 2026 5 relations: 2612747
  351. Mon Aug 17 20:40:42 2026 6 relations: 2418628
  352. Mon Aug 17 20:40:42 2026 7 relations: 2208827
  353. Mon Aug 17 20:40:42 2026 8 relations: 1959214
  354. Mon Aug 17 20:40:42 2026 9 relations: 1685618
  355. Mon Aug 17 20:40:42 2026 10+ relations: 5228883
  356. Mon Aug 17 20:40:42 2026 heaviest cycle: 21 relations
  357. Mon Aug 17 20:41:28 2026 trying target density 110
  358. Mon Aug 17 20:41:33 2026 relations with 0 large ideals: 5806
  359. Mon Aug 17 20:41:33 2026 relations with 1 large ideals: 21163
  360. Mon Aug 17 20:41:33 2026 relations with 2 large ideals: 336106
  361. Mon Aug 17 20:41:33 2026 relations with 3 large ideals: 2276431
  362. Mon Aug 17 20:41:33 2026 relations with 4 large ideals: 8325398
  363. Mon Aug 17 20:41:33 2026 relations with 5 large ideals: 18175414
  364. Mon Aug 17 20:41:33 2026 relations with 6 large ideals: 24764347
  365. Mon Aug 17 20:41:33 2026 relations with 7+ large ideals: 36687413
  366. Mon Aug 17 20:41:33 2026 commencing 2-way merge
  367. Mon Aug 17 20:42:31 2026 reduce to 55575269 relation sets and 53754571 unique ideals
  368. Mon Aug 17 20:42:31 2026 commencing full merge
  369. Mon Aug 17 20:56:54 2026 memory use: 6537.6 MB
  370. Mon Aug 17 20:56:58 2026 found 25767967 cycles, need 25562771
  371. Mon Aug 17 20:57:03 2026 weight of 25562771 cycles is about 2812116475 (110.01/cycle)
  372. Mon Aug 17 20:57:03 2026 distribution of cycle lengths:
  373. Mon Aug 17 20:57:03 2026 1 relations: 2242638
  374. Mon Aug 17 20:57:03 2026 2 relations: 2056780
  375. Mon Aug 17 20:57:03 2026 3 relations: 2077161
  376. Mon Aug 17 20:57:03 2026 4 relations: 2024833
  377. Mon Aug 17 20:57:03 2026 5 relations: 1994490
  378. Mon Aug 17 20:57:03 2026 6 relations: 1903885
  379. Mon Aug 17 20:57:03 2026 7 relations: 1846732
  380. Mon Aug 17 20:57:03 2026 8 relations: 1725890
  381. Mon Aug 17 20:57:03 2026 9 relations: 1581731
  382. Mon Aug 17 20:57:03 2026 10+ relations: 8108631
  383. Mon Aug 17 20:57:03 2026 heaviest cycle: 26 relations
  384. Mon Aug 17 20:57:07 2026 commencing cycle optimization
  385. Mon Aug 17 20:57:48 2026 start with 192867969 relations
  386. Mon Aug 17 21:02:24 2026 pruned 6644578 relations
  387. Mon Aug 17 21:02:26 2026 memory use: 5684.0 MB
  388. Mon Aug 17 21:02:26 2026 distribution of cycle lengths:
  389. Mon Aug 17 21:02:26 2026 1 relations: 2242638
  390. Mon Aug 17 21:02:26 2026 2 relations: 2107338
  391. Mon Aug 17 21:02:26 2026 3 relations: 2155635
  392. Mon Aug 17 21:02:26 2026 4 relations: 2092345
  393. Mon Aug 17 21:02:26 2026 5 relations: 2069694
  394. Mon Aug 17 21:02:26 2026 6 relations: 1970043
  395. Mon Aug 17 21:02:26 2026 7 relations: 1912190
  396. Mon Aug 17 21:02:26 2026 8 relations: 1776056
  397. Mon Aug 17 21:02:26 2026 9 relations: 1625316
  398. Mon Aug 17 21:02:26 2026 10+ relations: 7611516
  399. Mon Aug 17 21:02:26 2026 heaviest cycle: 26 relations
  400. Mon Aug 17 21:03:01 2026 trying target density 130
  401. Mon Aug 17 21:03:08 2026 relations with 0 large ideals: 5806
  402. Mon Aug 17 21:03:08 2026 relations with 1 large ideals: 21163
  403. Mon Aug 17 21:03:08 2026 relations with 2 large ideals: 336106
  404. Mon Aug 17 21:03:08 2026 relations with 3 large ideals: 2276431
  405. Mon Aug 17 21:03:08 2026 relations with 4 large ideals: 8325398
  406. Mon Aug 17 21:03:08 2026 relations with 5 large ideals: 18175414
  407. Mon Aug 17 21:03:08 2026 relations with 6 large ideals: 24764347
  408. Mon Aug 17 21:03:08 2026 relations with 7+ large ideals: 36687413
  409. Mon Aug 17 21:03:08 2026 commencing 2-way merge
  410. Mon Aug 17 21:03:49 2026 reduce to 55575269 relation sets and 53754571 unique ideals
  411. Mon Aug 17 21:03:49 2026 commencing full merge
  412. Mon Aug 17 21:19:48 2026 memory use: 6654.9 MB
  413. Mon Aug 17 21:19:54 2026 found 24261421 cycles, need 24206771
  414. Mon Aug 17 21:19:59 2026 weight of 24206771 cycles is about 3147314124 (130.02/cycle)
  415. Mon Aug 17 21:19:59 2026 distribution of cycle lengths:
  416. Mon Aug 17 21:19:59 2026 1 relations: 1658796
  417. Mon Aug 17 21:19:59 2026 2 relations: 1647926
  418. Mon Aug 17 21:19:59 2026 3 relations: 1688358
  419. Mon Aug 17 21:19:59 2026 4 relations: 1646830
  420. Mon Aug 17 21:19:59 2026 5 relations: 1646571
  421. Mon Aug 17 21:19:59 2026 6 relations: 1591160
  422. Mon Aug 17 21:19:59 2026 7 relations: 1564458
  423. Mon Aug 17 21:19:59 2026 8 relations: 1492494
  424. Mon Aug 17 21:19:59 2026 9 relations: 1430568
  425. Mon Aug 17 21:19:59 2026 10+ relations: 9839610
  426. Mon Aug 17 21:19:59 2026 heaviest cycle: 28 relations
  427. Mon Aug 17 21:20:04 2026 commencing cycle optimization
  428. Mon Aug 17 21:20:45 2026 start with 215094795 relations
  429. Mon Aug 17 21:26:57 2026 pruned 8775174 relations
  430. Mon Aug 17 21:26:57 2026 memory use: 5911.9 MB
  431. Mon Aug 17 21:26:57 2026 distribution of cycle lengths:
  432. Mon Aug 17 21:26:57 2026 1 relations: 1658796
  433. Mon Aug 17 21:26:57 2026 2 relations: 1689188
  434. Mon Aug 17 21:26:57 2026 3 relations: 1754154
  435. Mon Aug 17 21:26:57 2026 4 relations: 1707196
  436. Mon Aug 17 21:26:57 2026 5 relations: 1715077
  437. Mon Aug 17 21:26:57 2026 6 relations: 1655734
  438. Mon Aug 17 21:26:57 2026 7 relations: 1631244
  439. Mon Aug 17 21:26:57 2026 8 relations: 1553033
  440. Mon Aug 17 21:26:57 2026 9 relations: 1486617
  441. Mon Aug 17 21:26:57 2026 10+ relations: 9355732
  442. Mon Aug 17 21:26:57 2026 heaviest cycle: 28 relations
  443. Mon Aug 17 21:27:34 2026 trying target density 140
  444. Mon Aug 17 21:27:39 2026 relations with 0 large ideals: 5806
  445. Mon Aug 17 21:27:39 2026 relations with 1 large ideals: 21163
  446. Mon Aug 17 21:27:39 2026 relations with 2 large ideals: 336106
  447. Mon Aug 17 21:27:39 2026 relations with 3 large ideals: 2276431
  448. Mon Aug 17 21:27:39 2026 relations with 4 large ideals: 8325398
  449. Mon Aug 17 21:27:39 2026 relations with 5 large ideals: 18175414
  450. Mon Aug 17 21:27:39 2026 relations with 6 large ideals: 24764347
  451. Mon Aug 17 21:27:39 2026 relations with 7+ large ideals: 36687413
  452. Mon Aug 17 21:27:39 2026 commencing 2-way merge
  453. Mon Aug 17 21:28:17 2026 reduce to 55575269 relation sets and 53754571 unique ideals
  454. Mon Aug 17 21:28:17 2026 commencing full merge
  455. Mon Aug 17 21:59:07 2026 memory use: 2495.8 MB
  456. Mon Aug 17 21:59:08 2026 found 182890 cycles, need 12005842
  457. Mon Aug 17 21:59:08 2026 too few cycles, matrix probably cannot build
  458. Mon Aug 17 21:59:09 2026 RelProcTime: 11714
  459. Mon Aug 17 21:59:09 2026
  460. Mon Aug 17 21:59:09 2026 commencing linear algebra
  461. Mon Aug 17 21:59:09 2026 using VBITS=256
  462. Mon Aug 17 21:59:09 2026 building matrices for all densities
  463. Mon Aug 17 21:59:10 2026 found 3 density files
  464. Mon Aug 17 21:59:10 2026 building matrix for density 90
  465. Mon Aug 17 21:59:17 2026 read 27436771 cycles
  466. Mon Aug 17 21:59:57 2026 cycles contain 89475750 unique relations
  467. Mon Aug 17 22:15:47 2026 read 89475750 relations
  468. Mon Aug 17 22:16:36 2026 using 20 quadratic characters above 4294917295
  469. Mon Aug 17 22:17:06 2026 building initial matrix
  470. Mon Aug 17 22:30:03 2026 memory use: 12525.0 MB
  471. Mon Aug 17 22:30:34 2026 read 27436771 cycles
  472. Mon Aug 17 22:30:37 2026 matrix is 27436592 x 27436771 (10286.5 MB) with weight 3147149662 (114.71/col)
  473. Mon Aug 17 22:30:37 2026 sparse part has weight 2367299931 (86.28/col)
  474. Mon Aug 17 22:34:01 2026 filtering completed in 2 passes
  475. Mon Aug 17 22:34:06 2026 matrix is 27430251 x 27430427 (10286.0 MB) with weight 3146919848 (114.72/col)
  476. Mon Aug 17 22:34:06 2026 sparse part has weight 2367246626 (86.30/col)
  477. Mon Aug 17 22:34:54 2026 building matrix for density 110
  478. Mon Aug 17 22:34:56 2026 read 25562771 cycles
  479. Mon Aug 17 22:35:36 2026 cycles contain 89495109 unique relations
  480. Mon Aug 17 22:48:10 2026 read 89495109 relations
  481. Mon Aug 17 22:48:38 2026 using 20 quadratic characters above 4294917295
  482. Mon Aug 17 22:49:07 2026 building initial matrix
  483. Mon Aug 17 23:01:37 2026 memory use: 12485.7 MB
  484. Mon Aug 17 23:01:45 2026 read 25562771 cycles
  485. Mon Aug 17 23:01:48 2026 matrix is 25562594 x 25562771 (11298.8 MB) with weight 3426637240 (134.05/col)
  486. Mon Aug 17 23:01:48 2026 sparse part has weight 2655161370 (103.87/col)
  487. Mon Aug 17 23:05:15 2026 filtering completed in 2 passes
  488. Mon Aug 17 23:05:20 2026 matrix is 25559845 x 25560019 (11298.6 MB) with weight 3426518488 (134.06/col)
  489. Mon Aug 17 23:05:20 2026 sparse part has weight 2655127483 (103.88/col)
  490. Mon Aug 17 23:06:10 2026 building matrix for density 130
  491. Mon Aug 17 23:06:12 2026 read 24206771 cycles
  492. Mon Aug 17 23:06:45 2026 cycles contain 89489944 unique relations
  493. Mon Aug 17 23:10:15 2026 read 89489944 relations
  494. Mon Aug 17 23:10:46 2026 using 20 quadratic characters above 4294917295
  495. Mon Aug 17 23:11:15 2026 building initial matrix
  496. Mon Aug 17 23:25:05 2026 memory use: 12520.5 MB
  497. Mon Aug 17 23:25:36 2026 read 24206771 cycles
  498. Mon Aug 17 23:25:39 2026 matrix is 24206594 x 24206771 (12298.3 MB) with weight 3700519719 (152.87/col)
  499. Mon Aug 17 23:25:39 2026 sparse part has weight 2933438059 (121.18/col)
  500. Mon Aug 17 23:28:39 2026 filtering completed in 2 passes
  501. Mon Aug 17 23:28:45 2026 matrix is 24206031 x 24206206 (12298.2 MB) with weight 3700492712 (152.87/col)
  502. Mon Aug 17 23:28:45 2026 sparse part has weight 2933430288 (121.19/col)
  503. Mon Aug 17 23:29:37 2026 BLanczosTime: 5428
  504. Mon Aug 17 23:29:37 2026 elapsed time 04:45:43
  505. Tue Aug 18 14:21:06 2026
  506. Tue Aug 18 14:21:06 2026
  507. Tue Aug 18 14:21:06 2026 Msieve v. 1.54 (SVN unknown)
  508. Tue Aug 18 14:21:06 2026 random seeds: da38147f 54cf3961
  509. Tue Aug 18 14:21:06 2026 factoring 374284693381025579027111017160394618574401681576251914209597326722770884979466252320868656187124465264803705385019981680171025450689365559861116067352495098829262967668321266530114977094261 (189 digits)
  510. Tue Aug 18 14:21:07 2026 no P-1/P+1/ECM available, skipping
  511. Tue Aug 18 14:21:07 2026 commencing number field sieve (189-digit input)
  512. Tue Aug 18 14:21:07 2026 R0: -4856108367524650701567963126287432252
  513. Tue Aug 18 14:21:07 2026 R1: 324763030024619547426691
  514. Tue Aug 18 14:21:07 2026 A0: -17720022468083119892071473235674138814979301
  515. Tue Aug 18 14:21:07 2026 A1: 9844266995084515693076293251894663106
  516. Tue Aug 18 14:21:07 2026 A2: 241945312186268006801267996769
  517. Tue Aug 18 14:21:07 2026 A3: -14245405149884551020594
  518. Tue Aug 18 14:21:07 2026 A4: -71874481642660
  519. Tue Aug 18 14:21:07 2026 A5: 693000
  520. Tue Aug 18 14:21:07 2026 skew 42895591.70, size 2.563e-18, alpha -7.101, combined = 3.187e-14 rroots = 5
  521. Tue Aug 18 14:21:07 2026
  522. Tue Aug 18 14:21:07 2026 commencing linear algebra
  523. Tue Aug 18 14:21:07 2026 using VBITS=128
  524. Tue Aug 18 14:21:07 2026 skipping matrix build
  525. Tue Aug 18 14:22:42 2026
  526. Tue Aug 18 14:22:42 2026
  527. Tue Aug 18 14:22:42 2026 Msieve v. 1.54 (SVN unknown)
  528. Tue Aug 18 14:22:42 2026 random seeds: 6481f412 abe7b717
  529. Tue Aug 18 14:22:42 2026 factoring 374284693381025579027111017160394618574401681576251914209597326722770884979466252320868656187124465264803705385019981680171025450689365559861116067352495098829262967668321266530114977094261 (189 digits)
  530. Tue Aug 18 14:22:43 2026 no P-1/P+1/ECM available, skipping
  531. Tue Aug 18 14:22:43 2026 commencing number field sieve (189-digit input)
  532. Tue Aug 18 14:22:43 2026 R0: -4856108367524650701567963126287432252
  533. Tue Aug 18 14:22:43 2026 R1: 324763030024619547426691
  534. Tue Aug 18 14:22:43 2026 A0: -17720022468083119892071473235674138814979301
  535. Tue Aug 18 14:22:43 2026 A1: 9844266995084515693076293251894663106
  536. Tue Aug 18 14:22:43 2026 A2: 241945312186268006801267996769
  537. Tue Aug 18 14:22:43 2026 A3: -14245405149884551020594
  538. Tue Aug 18 14:22:43 2026 A4: -71874481642660
  539. Tue Aug 18 14:22:43 2026 A5: 693000
  540. Tue Aug 18 14:22:43 2026 skew 42895591.70, size 2.563e-18, alpha -7.101, combined = 3.187e-14 rroots = 5
  541. Tue Aug 18 14:22:43 2026
  542. Tue Aug 18 14:22:43 2026 commencing linear algebra
  543. Tue Aug 18 14:22:43 2026 using VBITS=256
  544. Tue Aug 18 14:22:43 2026 skipping matrix build
  545. Tue Aug 18 14:23:04 2026 matrix starts at (0, 0)
  546. Tue Aug 18 14:23:08 2026 matrix is 24206031 x 24206206 (12298.2 MB) with weight 3700492712 (152.87/col)
  547. Tue Aug 18 14:23:08 2026 sparse part has weight 2933430288 (121.19/col)
  548. Tue Aug 18 14:23:08 2026 saving the first 240 matrix rows for later
  549. Tue Aug 18 14:23:15 2026 matrix includes 256 packed rows
  550. Tue Aug 18 14:23:23 2026 matrix is 24205791 x 24206206 (11137.8 MB) with weight 2693605429 (111.28/col)
  551. Tue Aug 18 14:23:23 2026 sparse part has weight 2532402854 (104.62/col)
  552. Tue Aug 18 14:23:24 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  553. Tue Aug 18 14:23:24 2026 selected card has CUDA arch 12.0
  554. Tue Aug 18 14:23:26 2026 computed block_nnz 164549755 (L2 cache 100663296 bytes, average column weight 104.6)
  555. Tue Aug 18 14:23:26 2026 nonzeros per matrix block: 256000000
  556. Tue Aug 18 14:30:36 2026 commencing Lanczos iteration
  557. Tue Aug 18 14:30:39 2026 memory use: 27169.5 MB
  558. Tue Aug 18 14:31:03 2026 linear algebra at 0.1%, ETA 4h49m
  559. Tue Aug 18 14:31:37 2026 checking every 80000 dimensions, checkpointing every 4960000 dimensions
  560. Tue Aug 18 19:27:19 2026 lanczos halted after 94841 iterations (dim = 24205790)
  561. Tue Aug 18 19:30:31 2026 recovered 29 nontrivial dependencies
  562. Tue Aug 18 19:30:32 2026 BLanczosTime: 18469
  563. Tue Aug 18 19:30:32 2026 elapsed time 05:07:50
  564. Tue Aug 18 16:14:42 2026
  565. Tue Aug 18 16:14:42 2026
  566. Tue Aug 18 16:14:42 2026 Msieve v. 1.54 (SVN unknown)
  567. Tue Aug 18 16:14:42 2026 random seeds: 6c00ec5a 8488ff8c
  568. Tue Aug 18 16:14:42 2026 Using 8 OpenMP threads
  569. Tue Aug 18 16:14:42 2026 factoring 374284693381025579027111017160394618574401681576251914209597326722770884979466252320868656187124465264803705385019981680171025450689365559861116067352495098829262967668321266530114977094261 (189 digits)
  570. Tue Aug 18 16:14:42 2026 no P-1/P+1/ECM available, skipping
  571. Tue Aug 18 16:14:42 2026 commencing number field sieve (189-digit input)
  572. Tue Aug 18 16:14:42 2026 R0: -4856108367524650701567963126287432252
  573. Tue Aug 18 16:14:42 2026 R1: 324763030024619547426691
  574. Tue Aug 18 16:14:42 2026 A0: -17720022468083119892071473235674138814979301
  575. Tue Aug 18 16:14:42 2026 A1: 9844266995084515693076293251894663106
  576. Tue Aug 18 16:14:42 2026 A2: 241945312186268006801267996769
  577. Tue Aug 18 16:14:42 2026 A3: -14245405149884551020594
  578. Tue Aug 18 16:14:42 2026 A4: -71874481642660
  579. Tue Aug 18 16:14:42 2026 A5: 693000
  580. Tue Aug 18 16:14:42 2026 skew 42895591.70, size 2.563e-18, alpha -7.101, combined = 3.187e-14 rroots = 5
  581. Tue Aug 18 16:14:42 2026
  582. Tue Aug 18 16:14:42 2026 commencing square root phase
  583. Tue Aug 18 16:14:42 2026 reading relations for dependency 1
  584. Tue Aug 18 16:15:59 2026 read 12104356 cycles
  585. Tue Aug 18 16:16:47 2026 cycles contain 44744690 unique relations
  586. Tue Aug 18 16:51:31 2026 read 44744690 relations
  587. Tue Aug 18 16:57:08 2026 multiplying 44744690 relations
  588. Tue Aug 18 17:03:37 2026 multiply complete, coefficients have about 2666.71 million bits
  589. Tue Aug 18 17:03:44 2026 initial square root is modulo 957331
  590. Tue Aug 18 17:15:46 2026 GCD is N, no factor found
  591. Tue Aug 18 17:15:46 2026 reading relations for dependency 2
  592. Tue Aug 18 17:15:48 2026 read 12103368 cycles
  593. Tue Aug 18 17:16:05 2026 cycles contain 44740670 unique relations
  594. Tue Aug 18 17:19:37 2026 read 44740670 relations
  595. Tue Aug 18 17:22:34 2026 multiplying 44740670 relations
  596. Tue Aug 18 17:28:58 2026 multiply complete, coefficients have about 2666.44 million bits
  597. Tue Aug 18 17:29:02 2026 initial square root is modulo 955991
  598. Tue Aug 18 17:42:31 2026 GCD is 1, no factor found
  599. Tue Aug 18 17:42:31 2026 reading relations for dependency 3
  600. Tue Aug 18 17:42:33 2026 read 12103286 cycles
  601. Tue Aug 18 17:42:54 2026 cycles contain 44744562 unique relations
  602. Tue Aug 18 17:45:46 2026 read 44744562 relations
  603. Tue Aug 18 17:49:21 2026 multiplying 44744562 relations
  604. Tue Aug 18 17:55:45 2026 multiply complete, coefficients have about 2666.67 million bits
  605. Tue Aug 18 17:55:51 2026 initial square root is modulo 957139
  606. Tue Aug 18 18:08:55 2026 GCD is 1, no factor found
  607. Tue Aug 18 18:08:55 2026 reading relations for dependency 4
  608. Tue Aug 18 18:08:59 2026 read 12107515 cycles
  609. Tue Aug 18 18:09:21 2026 cycles contain 44754040 unique relations
  610. Tue Aug 18 18:13:48 2026 read 44754040 relations
  611. Tue Aug 18 18:17:03 2026 multiplying 44754040 relations
  612. Tue Aug 18 18:21:49 2026 multiply complete, coefficients have about 2667.24 million bits
  613. Tue Aug 18 18:21:53 2026 initial square root is modulo 959953
  614. Tue Aug 18 18:31:45 2026 GCD is N, no factor found
  615. Tue Aug 18 18:31:45 2026 reading relations for dependency 5
  616. Tue Aug 18 18:31:47 2026 read 12104570 cycles
  617. Tue Aug 18 18:32:04 2026 cycles contain 44743234 unique relations
  618. Tue Aug 18 18:34:13 2026 read 44743234 relations
  619. Tue Aug 18 18:36:40 2026 multiplying 44743234 relations
  620. Tue Aug 18 18:41:00 2026 multiply complete, coefficients have about 2666.60 million bits
  621. Tue Aug 18 18:41:05 2026 initial square root is modulo 956801
  622. Tue Aug 18 18:49:45 2026 GCD is 1, no factor found
  623. Tue Aug 18 18:49:45 2026 reading relations for dependency 6
  624. Tue Aug 18 18:49:46 2026 read 12104821 cycles
  625. Tue Aug 18 18:50:03 2026 cycles contain 44750558 unique relations
  626. Tue Aug 18 18:55:00 2026 read 44750558 relations
  627. Tue Aug 18 18:57:33 2026 multiplying 44750558 relations
  628. Tue Aug 18 19:01:56 2026 multiply complete, coefficients have about 2667.02 million bits
  629. Tue Aug 18 19:02:01 2026 initial square root is modulo 958871
  630. Tue Aug 18 19:10:46 2026 sqrtTime: 10564
  631. Tue Aug 18 19:10:46 2026 p74 factor: 42966001152699906500991971030296393674754884941165155801000544719059652559
  632. Tue Aug 18 19:10:46 2026 p115 factor: 8711182873426567409469445342805113487646845439161810302668858289695890472734491494168464004845286885574360366521979
  633. Tue Aug 18 19:10:46 2026 elapsed time 02:56:04
  634.  
Tags: math
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