kyleaskine

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Jul 12th, 2026
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  1. Sun Jul 12 01:47:04 2026
  2. Sun Jul 12 01:47:04 2026
  3. Sun Jul 12 01:47:04 2026 Msieve v. 1.54 (SVN unknown)
  4. Sun Jul 12 01:47:04 2026 random seeds: bb1447ff 10dedba3
  5. Sun Jul 12 01:47:04 2026 Using 8 OpenMP threads
  6. Sun Jul 12 01:47:04 2026 factoring 9124923410771437992102879711109080749761420087247245484563098263554181480152635736486236896634899181754241776580083780355086873037628307622762835274470425163131721383795056702139812228381 (187 digits)
  7. Sun Jul 12 01:47:04 2026 no P-1/P+1/ECM available, skipping
  8. Sun Jul 12 01:47:04 2026 commencing number field sieve (187-digit input)
  9. Sun Jul 12 01:47:04 2026 R0: -1908528224840676936312141246871046253
  10. Sun Jul 12 01:47:04 2026 R1: 4652410848023323438021
  11. Sun Jul 12 01:47:04 2026 A0: -691907076703527948862061122790199141946720
  12. Sun Jul 12 01:47:04 2026 A1: -1109025132423443513857822945697563210
  13. Sun Jul 12 01:47:04 2026 A2: -148461251887443434508240549677
  14. Sun Jul 12 01:47:04 2026 A3: 4136990555941660804771
  15. Sun Jul 12 01:47:04 2026 A4: -194324876270322
  16. Sun Jul 12 01:47:04 2026 A5: 720720
  17. Sun Jul 12 01:47:04 2026 skew 22114984.37, size 3.697e-18, alpha -7.041, combined = 3.893e-14 rroots = 3
  18. Sun Jul 12 01:47:04 2026
  19. Sun Jul 12 01:47:04 2026 commencing relation filtering
  20. Sun Jul 12 01:47:04 2026 setting 3 target densities:Sun Jul 12 01:47:04 2026 90Sun Jul 12 01:47:04 2026 110Sun Jul 12 01:47:04 2026 130Sun Jul 12 01:47:04 2026
  21. Sun Jul 12 01:47:04 2026 estimated available RAM is 78540.1 MB
  22. Sun Jul 12 01:47:04 2026 commencing duplicate removal, pass 1
  23. Sun Jul 12 01:50:32 2026 error -1 reading relation 43832296
  24. Sun Jul 12 01:57:03 2026 error -1 reading relation 138610585
  25. Sun Jul 12 01:57:28 2026 error -1 reading relation 144960774
  26. Sun Jul 12 01:58:56 2026 error -1 reading relation 166384025
  27. Sun Jul 12 01:59:33 2026 error -1 reading relation 175258682
  28. Sun Jul 12 01:59:39 2026 error -1 reading relation 176751598
  29. Sun Jul 12 02:01:20 2026 error -1 reading relation 201455035
  30. Sun Jul 12 02:02:40 2026 error -1 reading relation 220166381
  31. Sun Jul 12 02:03:44 2026 error -1 reading relation 235852396
  32. Sun Jul 12 02:04:02 2026 error -1 reading relation 240295277
  33. Sun Jul 12 02:04:20 2026 error -1 reading relation 245053023
  34. Sun Jul 12 02:04:33 2026 error -1 reading relation 247839290
  35. Sun Jul 12 02:04:41 2026 error -1 reading relation 249631498
  36. Sun Jul 12 02:05:11 2026 error -1 reading relation 256342022
  37. Sun Jul 12 02:06:28 2026 error -1 reading relation 275421039
  38. Sun Jul 12 02:06:34 2026 error -1 reading relation 276761544
  39. Sun Jul 12 02:09:00 2026 error -1 reading relation 311549128
  40. Sun Jul 12 02:10:09 2026 error -11 reading relation 328534532
  41. Sun Jul 12 02:13:46 2026 error -1 reading relation 379417143
  42. Sun Jul 12 02:14:03 2026 error -1 reading relation 383029656
  43. Sun Jul 12 02:14:21 2026 error -1 reading relation 387776641
  44. Sun Jul 12 02:14:31 2026 error -1 reading relation 389824614
  45. Sun Jul 12 02:15:12 2026 error -1 reading relation 400266167
  46. Sun Jul 12 02:15:32 2026 error -1 reading relation 404364820
  47. Sun Jul 12 02:15:49 2026 error -1 reading relation 408772021
  48. Sun Jul 12 02:16:40 2026 error -1 reading relation 420633986
  49. Sun Jul 12 02:16:52 2026 error -1 reading relation 423249099
  50. Sun Jul 12 02:17:02 2026 error -1 reading relation 425957161
  51. Sun Jul 12 02:17:02 2026 error -1 reading relation 425965892
  52. Sun Jul 12 02:17:46 2026 error -1 reading relation 436627606
  53. Sun Jul 12 02:20:04 2026 error -1 reading relation 470512356
  54. Sun Jul 12 02:20:18 2026 error -1 reading relation 473561571
  55. Sun Jul 12 02:21:00 2026 error -1 reading relation 483904586
  56. Sun Jul 12 02:21:19 2026 error -1 reading relation 488209432
  57. Sun Jul 12 02:21:31 2026 error -1 reading relation 491388528
  58. Sun Jul 12 02:21:46 2026 error -1 reading relation 494531935
  59. Sun Jul 12 02:22:33 2026 error -1 reading relation 505910690
  60. Sun Jul 12 02:22:49 2026 error -1 reading relation 509269358
  61. Sun Jul 12 02:22:49 2026 error -1 reading relation 509271260
  62. Sun Jul 12 02:22:49 2026 error -1 reading relation 509277188
  63. Sun Jul 12 02:23:07 2026 error -1 reading relation 513955147
  64. Sun Jul 12 02:23:55 2026 error -1 reading relation 525823391
  65. Sun Jul 12 02:23:57 2026 error -1 reading relation 526244620
  66. Sun Jul 12 02:24:17 2026 error -1 reading relation 530549441
  67. Sun Jul 12 02:24:19 2026 error -1 reading relation 531668866
  68. Sun Jul 12 02:24:31 2026 error -1 reading relation 534314895
  69. Sun Jul 12 02:24:48 2026 error -1 reading relation 538612519
  70. Sun Jul 12 02:25:03 2026 error -1 reading relation 541951369
  71. Sun Jul 12 02:25:16 2026 error -1 reading relation 544698351
  72. Sun Jul 12 02:25:23 2026 error -1 reading relation 546741178
  73. Sun Jul 12 02:25:26 2026 error -1 reading relation 547520565
  74. Sun Jul 12 02:25:41 2026 error -1 reading relation 550617085
  75. Sun Jul 12 02:26:19 2026 error -1 reading relation 560247429
  76. Sun Jul 12 02:26:35 2026 error -1 reading relation 563786982
  77. Sun Jul 12 02:26:39 2026 error -1 reading relation 564784786
  78. Sun Jul 12 02:27:06 2026 error -1 reading relation 571273313
  79. Sun Jul 12 02:27:07 2026 error -1 reading relation 571309388
  80. Sun Jul 12 02:27:07 2026 error -1 reading relation 571444229
  81. Sun Jul 12 02:27:30 2026 error -1 reading relation 577209249
  82. Sun Jul 12 02:27:34 2026 error -1 reading relation 577982500
  83. Sun Jul 12 02:27:58 2026 error -1 reading relation 584000164
  84. Sun Jul 12 02:28:00 2026 error -1 reading relation 584416145
  85. Sun Jul 12 02:28:35 2026 error -1 reading relation 592269882
  86. Sun Jul 12 02:28:40 2026 error -1 reading relation 593555569
  87. Sun Jul 12 02:28:44 2026 error -1 reading relation 594267091
  88. Sun Jul 12 02:29:44 2026 error -1 reading relation 609200524
  89. Sun Jul 12 02:30:55 2026 error -1 reading relation 626162983
  90. Sun Jul 12 02:31:09 2026 error -1 reading relation 629222268
  91. Sun Jul 12 02:31:48 2026 error -1 reading relation 638880986
  92. Sun Jul 12 02:31:51 2026 error -1 reading relation 639508172
  93. Sun Jul 12 02:32:02 2026 error -1 reading relation 641796515
  94. Sun Jul 12 02:32:09 2026 skipped 5 relations with composite factors
  95. Sun Jul 12 02:32:09 2026 skipped 398 malformed relations
  96. Sun Jul 12 02:32:09 2026 found 126887541 hash collisions in 643802856 relations
  97. Sun Jul 12 02:32:28 2026 added 122100 free relations
  98. Sun Jul 12 02:32:28 2026 commencing duplicate removal, pass 2
  99. Sun Jul 12 02:45:48 2026 found 133334139 duplicates and 510590817 unique relations
  100. Sun Jul 12 02:45:48 2026 memory use: 3411.0 MB
  101. Sun Jul 12 02:45:49 2026 reading ideals above 276758528
  102. Sun Jul 12 02:45:49 2026 commencing singleton removal, initial pass
  103. Sun Jul 12 03:37:58 2026 memory use: 11024.0 MB
  104. Sun Jul 12 03:37:59 2026 reading all ideals from disk
  105. Sun Jul 12 03:38:10 2026 memory use: 13387.9 MB
  106. Sun Jul 12 03:38:41 2026 commencing in-memory singleton removal
  107. Sun Jul 12 03:38:48 2026 begin with 510590817 relations and 446784109 unique ideals
  108. Sun Jul 12 03:40:06 2026 reduce to 314496721 relations and 229975094 ideals in 16 passes
  109. Sun Jul 12 03:40:06 2026 max relations containing the same ideal: 36
  110. Sun Jul 12 03:40:19 2026 reading ideals above 720000
  111. Sun Jul 12 03:40:21 2026 commencing singleton removal, initial pass
  112. Sun Jul 12 04:32:15 2026 memory use: 6024.0 MB
  113. Sun Jul 12 04:32:16 2026 reading all ideals from disk
  114. Sun Jul 12 04:32:32 2026 memory use: 15656.9 MB
  115. Sun Jul 12 04:33:14 2026 keeping 258490661 ideals with weight <= 200, target excess is 1603854
  116. Sun Jul 12 04:34:13 2026 commencing in-memory singleton removal
  117. Sun Jul 12 04:34:19 2026 begin with 314496721 relations and 258490661 unique ideals
  118. Sun Jul 12 04:35:16 2026 reduce to 314491978 relations and 258485918 ideals in 8 passes
  119. Sun Jul 12 04:35:16 2026 max relations containing the same ideal: 200
  120. Sun Jul 12 04:38:40 2026 removing 14208613 relations and 12208613 ideals in 2000000 cliques
  121. Sun Jul 12 04:38:48 2026 commencing in-memory singleton removal
  122. Sun Jul 12 04:38:57 2026 begin with 300283365 relations and 258485918 unique ideals
  123. Sun Jul 12 04:39:54 2026 reduce to 299804392 relations and 245794116 ideals in 8 passes
  124. Sun Jul 12 04:39:54 2026 max relations containing the same ideal: 200
  125. Sun Jul 12 04:43:09 2026 removing 10730528 relations and 8730528 ideals in 2000000 cliques
  126. Sun Jul 12 04:43:18 2026 commencing in-memory singleton removal
  127. Sun Jul 12 04:43:27 2026 begin with 289073864 relations and 245794116 unique ideals
  128. Sun Jul 12 04:44:19 2026 reduce to 288770562 relations and 236757921 ideals in 8 passes
  129. Sun Jul 12 04:44:19 2026 max relations containing the same ideal: 197
  130. Sun Jul 12 04:47:22 2026 removing 9631198 relations and 7631198 ideals in 2000000 cliques
  131. Sun Jul 12 04:47:28 2026 commencing in-memory singleton removal
  132. Sun Jul 12 04:47:36 2026 begin with 279139364 relations and 236757921 unique ideals
  133. Sun Jul 12 04:48:22 2026 reduce to 278879924 relations and 228865465 ideals in 7 passes
  134. Sun Jul 12 04:48:22 2026 max relations containing the same ideal: 193
  135. Sun Jul 12 04:51:19 2026 removing 9022598 relations and 7022598 ideals in 2000000 cliques
  136. Sun Jul 12 04:51:25 2026 commencing in-memory singleton removal
  137. Sun Jul 12 04:51:33 2026 begin with 269857326 relations and 228865465 unique ideals
  138. Sun Jul 12 04:52:22 2026 reduce to 269619199 relations and 221603061 ideals in 8 passes
  139. Sun Jul 12 04:52:22 2026 max relations containing the same ideal: 190
  140. Sun Jul 12 04:55:13 2026 removing 8611545 relations and 6611545 ideals in 2000000 cliques
  141. Sun Jul 12 04:55:18 2026 commencing in-memory singleton removal
  142. Sun Jul 12 04:55:25 2026 begin with 261007654 relations and 221603061 unique ideals
  143. Sun Jul 12 04:56:08 2026 reduce to 260782307 relations and 214764568 ideals in 7 passes
  144. Sun Jul 12 04:56:08 2026 max relations containing the same ideal: 187
  145. Sun Jul 12 04:58:54 2026 removing 8317625 relations and 6317625 ideals in 2000000 cliques
  146. Sun Jul 12 04:59:02 2026 commencing in-memory singleton removal
  147. Sun Jul 12 04:59:09 2026 begin with 252464682 relations and 214764568 unique ideals
  148. Sun Jul 12 04:59:53 2026 reduce to 252247311 relations and 208228028 ideals in 8 passes
  149. Sun Jul 12 04:59:53 2026 max relations containing the same ideal: 183
  150. Sun Jul 12 05:02:37 2026 removing 8100413 relations and 6100413 ideals in 2000000 cliques
  151. Sun Jul 12 05:02:45 2026 commencing in-memory singleton removal
  152. Sun Jul 12 05:02:52 2026 begin with 244146898 relations and 208228028 unique ideals
  153. Sun Jul 12 05:03:31 2026 reduce to 243933744 relations and 201912867 ideals in 7 passes
  154. Sun Jul 12 05:03:31 2026 max relations containing the same ideal: 179
  155. Sun Jul 12 05:06:10 2026 removing 7931852 relations and 5931852 ideals in 2000000 cliques
  156. Sun Jul 12 05:06:17 2026 commencing in-memory singleton removal
  157. Sun Jul 12 05:06:23 2026 begin with 236001892 relations and 201912867 unique ideals
  158. Sun Jul 12 05:07:01 2026 reduce to 235789972 relations and 195767477 ideals in 7 passes
  159. Sun Jul 12 05:07:01 2026 max relations containing the same ideal: 176
  160. Sun Jul 12 05:09:34 2026 removing 7799100 relations and 5799100 ideals in 2000000 cliques
  161. Sun Jul 12 05:09:40 2026 commencing in-memory singleton removal
  162. Sun Jul 12 05:09:46 2026 begin with 227990872 relations and 195767477 unique ideals
  163. Sun Jul 12 05:10:22 2026 reduce to 227780206 relations and 189756079 ideals in 7 passes
  164. Sun Jul 12 05:10:22 2026 max relations containing the same ideal: 174
  165. Sun Jul 12 05:12:53 2026 removing 7696051 relations and 5696051 ideals in 2000000 cliques
  166. Sun Jul 12 05:13:01 2026 commencing in-memory singleton removal
  167. Sun Jul 12 05:13:08 2026 begin with 220084155 relations and 189756079 unique ideals
  168. Sun Jul 12 05:13:46 2026 reduce to 219872225 relations and 183846409 ideals in 7 passes
  169. Sun Jul 12 05:13:46 2026 max relations containing the same ideal: 169
  170. Sun Jul 12 05:16:18 2026 removing 7612450 relations and 5612450 ideals in 2000000 cliques
  171. Sun Jul 12 05:16:26 2026 commencing in-memory singleton removal
  172. Sun Jul 12 05:16:33 2026 begin with 212259775 relations and 183846409 unique ideals
  173. Sun Jul 12 05:17:13 2026 reduce to 212045089 relations and 178017455 ideals in 8 passes
  174. Sun Jul 12 05:17:13 2026 max relations containing the same ideal: 167
  175. Sun Jul 12 05:19:51 2026 removing 7554635 relations and 5554635 ideals in 2000000 cliques
  176. Sun Jul 12 05:19:59 2026 commencing in-memory singleton removal
  177. Sun Jul 12 05:20:05 2026 begin with 204490454 relations and 178017455 unique ideals
  178. Sun Jul 12 05:20:40 2026 reduce to 204272352 relations and 172242742 ideals in 7 passes
  179. Sun Jul 12 05:20:40 2026 max relations containing the same ideal: 161
  180. Sun Jul 12 05:23:08 2026 removing 7504096 relations and 5504096 ideals in 2000000 cliques
  181. Sun Jul 12 05:23:15 2026 commencing in-memory singleton removal
  182. Sun Jul 12 05:23:21 2026 begin with 196768256 relations and 172242742 unique ideals
  183. Sun Jul 12 05:23:59 2026 reduce to 196542122 relations and 166510465 ideals in 8 passes
  184. Sun Jul 12 05:23:59 2026 max relations containing the same ideal: 157
  185. Sun Jul 12 05:26:25 2026 removing 7471506 relations and 5471506 ideals in 2000000 cliques
  186. Sun Jul 12 05:26:32 2026 commencing in-memory singleton removal
  187. Sun Jul 12 05:26:35 2026 begin with 189070616 relations and 166510465 unique ideals
  188. Sun Jul 12 05:27:03 2026 reduce to 188840462 relations and 160806660 ideals in 6 passes
  189. Sun Jul 12 05:27:03 2026 max relations containing the same ideal: 154
  190. Sun Jul 12 05:29:29 2026 removing 7449173 relations and 5449173 ideals in 2000000 cliques
  191. Sun Jul 12 05:29:33 2026 commencing in-memory singleton removal
  192. Sun Jul 12 05:29:38 2026 begin with 181391289 relations and 160806660 unique ideals
  193. Sun Jul 12 05:30:08 2026 reduce to 181152878 relations and 155116811 ideals in 7 passes
  194. Sun Jul 12 05:30:08 2026 max relations containing the same ideal: 151
  195. Sun Jul 12 05:32:24 2026 removing 7439721 relations and 5439721 ideals in 2000000 cliques
  196. Sun Jul 12 05:32:27 2026 commencing in-memory singleton removal
  197. Sun Jul 12 05:32:32 2026 begin with 173713157 relations and 155116811 unique ideals
  198. Sun Jul 12 05:33:01 2026 reduce to 173467331 relations and 149428762 ideals in 7 passes
  199. Sun Jul 12 05:33:01 2026 max relations containing the same ideal: 149
  200. Sun Jul 12 05:35:19 2026 removing 7437996 relations and 5437996 ideals in 2000000 cliques
  201. Sun Jul 12 05:35:22 2026 commencing in-memory singleton removal
  202. Sun Jul 12 05:35:27 2026 begin with 166029335 relations and 149428762 unique ideals
  203. Sun Jul 12 05:35:55 2026 reduce to 165773104 relations and 143731823 ideals in 7 passes
  204. Sun Jul 12 05:35:55 2026 max relations containing the same ideal: 142
  205. Sun Jul 12 05:38:04 2026 removing 7453156 relations and 5453156 ideals in 2000000 cliques
  206. Sun Jul 12 05:38:11 2026 commencing in-memory singleton removal
  207. Sun Jul 12 05:38:15 2026 begin with 158319948 relations and 143731823 unique ideals
  208. Sun Jul 12 05:38:42 2026 reduce to 158052993 relations and 138008743 ideals in 7 passes
  209. Sun Jul 12 05:38:42 2026 max relations containing the same ideal: 140
  210. Sun Jul 12 05:40:45 2026 removing 7475822 relations and 5475822 ideals in 2000000 cliques
  211. Sun Jul 12 05:40:47 2026 commencing in-memory singleton removal
  212. Sun Jul 12 05:40:52 2026 begin with 150577171 relations and 138008743 unique ideals
  213. Sun Jul 12 05:41:18 2026 reduce to 150295273 relations and 132247666 ideals in 7 passes
  214. Sun Jul 12 05:41:18 2026 max relations containing the same ideal: 131
  215. Sun Jul 12 05:43:13 2026 removing 7505679 relations and 5505679 ideals in 2000000 cliques
  216. Sun Jul 12 05:43:19 2026 commencing in-memory singleton removal
  217. Sun Jul 12 05:43:23 2026 begin with 142789594 relations and 132247666 unique ideals
  218. Sun Jul 12 05:43:47 2026 reduce to 142490749 relations and 126439606 ideals in 7 passes
  219. Sun Jul 12 05:43:47 2026 max relations containing the same ideal: 127
  220. Sun Jul 12 05:45:36 2026 removing 7549332 relations and 5549332 ideals in 2000000 cliques
  221. Sun Jul 12 05:45:38 2026 commencing in-memory singleton removal
  222. Sun Jul 12 05:45:42 2026 begin with 134941417 relations and 126439606 unique ideals
  223. Sun Jul 12 05:46:08 2026 reduce to 134623253 relations and 120568202 ideals in 8 passes
  224. Sun Jul 12 05:46:08 2026 max relations containing the same ideal: 123
  225. Sun Jul 12 05:47:56 2026 removing 7601782 relations and 5601782 ideals in 2000000 cliques
  226. Sun Jul 12 05:48:00 2026 commencing in-memory singleton removal
  227. Sun Jul 12 05:48:03 2026 begin with 127021471 relations and 120568202 unique ideals
  228. Sun Jul 12 05:48:19 2026 reduce to 126680676 relations and 114621161 ideals in 7 passes
  229. Sun Jul 12 05:48:19 2026 max relations containing the same ideal: 118
  230. Sun Jul 12 05:49:33 2026 removing 7676790 relations and 5676790 ideals in 2000000 cliques
  231. Sun Jul 12 05:49:37 2026 commencing in-memory singleton removal
  232. Sun Jul 12 05:49:39 2026 begin with 119003886 relations and 114621161 unique ideals
  233. Sun Jul 12 05:49:53 2026 reduce to 118633758 relations and 108569056 ideals in 7 passes
  234. Sun Jul 12 05:49:53 2026 max relations containing the same ideal: 114
  235. Sun Jul 12 05:50:50 2026 removing 7767601 relations and 5767601 ideals in 2000000 cliques
  236. Sun Jul 12 05:50:53 2026 commencing in-memory singleton removal
  237. Sun Jul 12 05:50:56 2026 begin with 110866157 relations and 108569056 unique ideals
  238. Sun Jul 12 05:51:04 2026 reduce to 110459466 relations and 102388820 ideals in 7 passes
  239. Sun Jul 12 05:51:04 2026 max relations containing the same ideal: 109
  240. Sun Jul 12 05:51:39 2026 removing 7880457 relations and 5880457 ideals in 2000000 cliques
  241. Sun Jul 12 05:51:41 2026 commencing in-memory singleton removal
  242. Sun Jul 12 05:51:43 2026 begin with 102579009 relations and 102388820 unique ideals
  243. Sun Jul 12 05:51:49 2026 reduce to 102131688 relations and 96054286 ideals in 7 passes
  244. Sun Jul 12 05:51:49 2026 max relations containing the same ideal: 100
  245. Sun Jul 12 05:52:22 2026 removing 8006334 relations and 6006334 ideals in 2000000 cliques
  246. Sun Jul 12 05:52:25 2026 commencing in-memory singleton removal
  247. Sun Jul 12 05:52:26 2026 begin with 94125354 relations and 96054286 unique ideals
  248. Sun Jul 12 05:52:30 2026 reduce to 93621727 relations and 89535997 ideals in 8 passes
  249. Sun Jul 12 05:52:30 2026 max relations containing the same ideal: 97
  250. Sun Jul 12 05:53:01 2026 removing 8162466 relations and 6162466 ideals in 2000000 cliques
  251. Sun Jul 12 05:53:04 2026 commencing in-memory singleton removal
  252. Sun Jul 12 05:53:06 2026 begin with 85459261 relations and 89535997 unique ideals
  253. Sun Jul 12 05:53:16 2026 reduce to 84883166 relations and 82787083 ideals in 8 passes
  254. Sun Jul 12 05:53:16 2026 max relations containing the same ideal: 93
  255. Sun Jul 12 05:54:21 2026 removing 1443860 relations and 1208248 ideals in 235612 cliques
  256. Sun Jul 12 05:54:24 2026 commencing in-memory singleton removal
  257. Sun Jul 12 05:54:26 2026 begin with 83439306 relations and 82787083 unique ideals
  258. Sun Jul 12 05:54:32 2026 reduce to 83422427 relations and 81561918 ideals in 6 passes
  259. Sun Jul 12 05:54:32 2026 max relations containing the same ideal: 93
  260. Sun Jul 12 05:54:35 2026 trying target density 90
  261. Sun Jul 12 05:54:44 2026 relations with 0 large ideals: 5814
  262. Sun Jul 12 05:54:44 2026 relations with 1 large ideals: 22437
  263. Sun Jul 12 05:54:44 2026 relations with 2 large ideals: 348561
  264. Sun Jul 12 05:54:44 2026 relations with 3 large ideals: 2305659
  265. Sun Jul 12 05:54:44 2026 relations with 4 large ideals: 8189012
  266. Sun Jul 12 05:54:44 2026 relations with 5 large ideals: 17330669
  267. Sun Jul 12 05:54:44 2026 relations with 6 large ideals: 22899168
  268. Sun Jul 12 05:54:44 2026 relations with 7+ large ideals: 32321107
  269. Sun Jul 12 05:54:44 2026 commencing 2-way merge
  270. Sun Jul 12 05:56:07 2026 reduce to 51629999 relation sets and 49769490 unique ideals
  271. Sun Jul 12 05:56:08 2026 commencing full merge
  272. Sun Jul 12 06:21:08 2026 memory use: 5958.2 MB
  273. Sun Jul 12 06:21:19 2026 found 25738234 cycles, need 25485690
  274. Sun Jul 12 06:21:29 2026 weight of 25485690 cycles is about 2293981369 (90.01/cycle)
  275. Sun Jul 12 06:21:29 2026 distribution of cycle lengths:
  276. Sun Jul 12 06:21:29 2026 1 relations: 2666395
  277. Sun Jul 12 06:21:29 2026 2 relations: 2465538
  278. Sun Jul 12 06:21:29 2026 3 relations: 2485500
  279. Sun Jul 12 06:21:29 2026 4 relations: 2452149
  280. Sun Jul 12 06:21:29 2026 5 relations: 2349447
  281. Sun Jul 12 06:21:29 2026 6 relations: 2238006
  282. Sun Jul 12 06:21:29 2026 7 relations: 2057784
  283. Sun Jul 12 06:21:29 2026 8 relations: 1835916
  284. Sun Jul 12 06:21:29 2026 9 relations: 1583278
  285. Sun Jul 12 06:21:29 2026 10+ relations: 5351677
  286. Sun Jul 12 06:21:29 2026 heaviest cycle: 21 relations
  287. Sun Jul 12 06:21:42 2026 commencing cycle optimization
  288. Sun Jul 12 06:22:59 2026 start with 159502148 relations
  289. Sun Jul 12 06:29:41 2026 pruned 4615140 relations
  290. Sun Jul 12 06:29:47 2026 memory use: 5054.3 MB
  291. Sun Jul 12 06:29:47 2026 distribution of cycle lengths:
  292. Sun Jul 12 06:29:47 2026 1 relations: 2666395
  293. Sun Jul 12 06:29:47 2026 2 relations: 2523610
  294. Sun Jul 12 06:29:47 2026 3 relations: 2577776
  295. Sun Jul 12 06:29:47 2026 4 relations: 2523663
  296. Sun Jul 12 06:29:47 2026 5 relations: 2430583
  297. Sun Jul 12 06:29:47 2026 6 relations: 2299498
  298. Sun Jul 12 06:29:47 2026 7 relations: 2112482
  299. Sun Jul 12 06:29:47 2026 8 relations: 1867131
  300. Sun Jul 12 06:29:47 2026 9 relations: 1593929
  301. Sun Jul 12 06:29:47 2026 10+ relations: 4890623
  302. Sun Jul 12 06:29:47 2026 heaviest cycle: 21 relations
  303. Sun Jul 12 06:31:11 2026 trying target density 110
  304. Sun Jul 12 06:31:19 2026 relations with 0 large ideals: 5814
  305. Sun Jul 12 06:31:19 2026 relations with 1 large ideals: 22437
  306. Sun Jul 12 06:31:19 2026 relations with 2 large ideals: 348561
  307. Sun Jul 12 06:31:19 2026 relations with 3 large ideals: 2305659
  308. Sun Jul 12 06:31:19 2026 relations with 4 large ideals: 8189012
  309. Sun Jul 12 06:31:19 2026 relations with 5 large ideals: 17330669
  310. Sun Jul 12 06:31:19 2026 relations with 6 large ideals: 22899168
  311. Sun Jul 12 06:31:19 2026 relations with 7+ large ideals: 32321107
  312. Sun Jul 12 06:31:19 2026 commencing 2-way merge
  313. Sun Jul 12 06:32:33 2026 reduce to 51629999 relation sets and 49769490 unique ideals
  314. Sun Jul 12 06:32:33 2026 commencing full merge
  315. Sun Jul 12 07:02:18 2026 memory use: 6134.9 MB
  316. Sun Jul 12 07:02:27 2026 found 24002684 cycles, need 23787690
  317. Sun Jul 12 07:02:40 2026 weight of 23787690 cycles is about 2617199233 (110.02/cycle)
  318. Sun Jul 12 07:02:40 2026 distribution of cycle lengths:
  319. Sun Jul 12 07:02:40 2026 1 relations: 1887816
  320. Sun Jul 12 07:02:40 2026 2 relations: 1868322
  321. Sun Jul 12 07:02:40 2026 3 relations: 1919935
  322. Sun Jul 12 07:02:40 2026 4 relations: 1877909
  323. Sun Jul 12 07:02:40 2026 5 relations: 1863140
  324. Sun Jul 12 07:02:40 2026 6 relations: 1812322
  325. Sun Jul 12 07:02:40 2026 7 relations: 1753357
  326. Sun Jul 12 07:02:40 2026 8 relations: 1649554
  327. Sun Jul 12 07:02:40 2026 9 relations: 1513687
  328. Sun Jul 12 07:02:40 2026 10+ relations: 7641648
  329. Sun Jul 12 07:02:40 2026 heaviest cycle: 26 relations
  330. Sun Jul 12 07:02:48 2026 commencing cycle optimization
  331. Sun Jul 12 07:04:14 2026 start with 181370681 relations
  332. Sun Jul 12 07:13:52 2026 pruned 6610494 relations
  333. Sun Jul 12 07:13:56 2026 memory use: 5282.0 MB
  334. Sun Jul 12 07:13:56 2026 distribution of cycle lengths:
  335. Sun Jul 12 07:13:56 2026 1 relations: 1887816
  336. Sun Jul 12 07:13:56 2026 2 relations: 1914487
  337. Sun Jul 12 07:13:56 2026 3 relations: 1994473
  338. Sun Jul 12 07:13:56 2026 4 relations: 1943626
  339. Sun Jul 12 07:13:57 2026 5 relations: 1939255
  340. Sun Jul 12 07:13:57 2026 6 relations: 1880707
  341. Sun Jul 12 07:13:57 2026 7 relations: 1822638
  342. Sun Jul 12 07:13:57 2026 8 relations: 1705173
  343. Sun Jul 12 07:13:57 2026 9 relations: 1558912
  344. Sun Jul 12 07:13:57 2026 10+ relations: 7140603
  345. Sun Jul 12 07:13:57 2026 heaviest cycle: 26 relations
  346. Sun Jul 12 07:15:21 2026 trying target density 130
  347. Sun Jul 12 07:15:27 2026 relations with 0 large ideals: 5814
  348. Sun Jul 12 07:15:27 2026 relations with 1 large ideals: 22437
  349. Sun Jul 12 07:15:27 2026 relations with 2 large ideals: 348561
  350. Sun Jul 12 07:15:27 2026 relations with 3 large ideals: 2305659
  351. Sun Jul 12 07:15:27 2026 relations with 4 large ideals: 8189012
  352. Sun Jul 12 07:15:27 2026 relations with 5 large ideals: 17330669
  353. Sun Jul 12 07:15:27 2026 relations with 6 large ideals: 22899168
  354. Sun Jul 12 07:15:27 2026 relations with 7+ large ideals: 32321107
  355. Sun Jul 12 07:15:27 2026 commencing 2-way merge
  356. Sun Jul 12 07:16:44 2026 reduce to 51629999 relation sets and 49769490 unique ideals
  357. Sun Jul 12 07:16:44 2026 commencing full merge
  358. Sun Jul 12 07:52:06 2026 memory use: 6250.2 MB
  359. Sun Jul 12 07:52:16 2026 found 22626792 cycles, need 22551690
  360. Sun Jul 12 07:52:24 2026 weight of 22551690 cycles is about 2932378038 (130.03/cycle)
  361. Sun Jul 12 07:52:24 2026 distribution of cycle lengths:
  362. Sun Jul 12 07:52:24 2026 1 relations: 1383161
  363. Sun Jul 12 07:52:24 2026 2 relations: 1478273
  364. Sun Jul 12 07:52:24 2026 3 relations: 1545034
  365. Sun Jul 12 07:52:24 2026 4 relations: 1521274
  366. Sun Jul 12 07:52:24 2026 5 relations: 1532718
  367. Sun Jul 12 07:52:24 2026 6 relations: 1499497
  368. Sun Jul 12 07:52:24 2026 7 relations: 1490682
  369. Sun Jul 12 07:52:24 2026 8 relations: 1425272
  370. Sun Jul 12 07:52:24 2026 9 relations: 1367668
  371. Sun Jul 12 07:52:24 2026 10+ relations: 9308111
  372. Sun Jul 12 07:52:24 2026 heaviest cycle: 28 relations
  373. Sun Jul 12 07:52:32 2026 commencing cycle optimization
  374. Sun Jul 12 07:54:07 2026 start with 202411502 relations
  375. Sun Jul 12 08:07:08 2026 pruned 8692669 relations
  376. Sun Jul 12 08:07:08 2026 memory use: 5495.8 MB
  377. Sun Jul 12 08:07:08 2026 distribution of cycle lengths:
  378. Sun Jul 12 08:07:08 2026 1 relations: 1383161
  379. Sun Jul 12 08:07:08 2026 2 relations: 1515463
  380. Sun Jul 12 08:07:08 2026 3 relations: 1606723
  381. Sun Jul 12 08:07:08 2026 4 relations: 1579381
  382. Sun Jul 12 08:07:08 2026 5 relations: 1600579
  383. Sun Jul 12 08:07:08 2026 6 relations: 1566354
  384. Sun Jul 12 08:07:08 2026 7 relations: 1558717
  385. Sun Jul 12 08:07:08 2026 8 relations: 1490064
  386. Sun Jul 12 08:07:08 2026 9 relations: 1426203
  387. Sun Jul 12 08:07:08 2026 10+ relations: 8825045
  388. Sun Jul 12 08:07:08 2026 heaviest cycle: 28 relations
  389. Sun Jul 12 08:08:36 2026 RelProcTime: 22892
  390. Sun Jul 12 08:08:36 2026
  391. Sun Jul 12 08:08:36 2026 commencing linear algebra
  392. Sun Jul 12 08:08:36 2026 using VBITS=256
  393. Sun Jul 12 08:08:36 2026 building matrices for all densities
  394. Sun Jul 12 08:08:36 2026 found 3 density files
  395. Sun Jul 12 08:08:36 2026 building matrix for density 90
  396. Sun Jul 12 08:08:38 2026 read 25485690 cycles
  397. Sun Jul 12 08:09:38 2026 cycles contain 82362738 unique relations
  398. Sun Jul 12 08:17:19 2026 read 82362738 relations
  399. Sun Jul 12 08:18:02 2026 using 20 quadratic characters above 4294917295
  400. Sun Jul 12 08:18:35 2026 building initial matrix
  401. Sun Jul 12 08:42:12 2026 memory use: 11657.1 MB
  402. Sun Jul 12 08:42:28 2026 read 25485690 cycles
  403. Sun Jul 12 08:42:32 2026 matrix is 25485513 x 25485690 (9549.8 MB) with weight 2951941468 (115.83/col)
  404. Sun Jul 12 08:42:32 2026 sparse part has weight 2197598083 (86.23/col)
  405. Sun Jul 12 08:46:57 2026 filtering completed in 2 passes
  406. Sun Jul 12 08:47:03 2026 matrix is 25480997 x 25481174 (9549.5 MB) with weight 2951770906 (115.84/col)
  407. Sun Jul 12 08:47:03 2026 sparse part has weight 2197560618 (86.24/col)
  408. Sun Jul 12 08:48:16 2026 building matrix for density 110
  409. Sun Jul 12 08:48:18 2026 read 23787690 cycles
  410. Sun Jul 12 08:49:12 2026 cycles contain 82376142 unique relations
  411. Sun Jul 12 08:57:30 2026 read 82376142 relations
  412. Sun Jul 12 08:58:16 2026 using 20 quadratic characters above 4294917295
  413. Sun Jul 12 08:58:49 2026 building initial matrix
  414. Sun Jul 12 09:23:52 2026 memory use: 11682.7 MB
  415. Sun Jul 12 09:24:20 2026 read 23787690 cycles
  416. Sun Jul 12 09:24:25 2026 matrix is 23787512 x 23787690 (10513.4 MB) with weight 3217810416 (135.27/col)
  417. Sun Jul 12 09:24:25 2026 sparse part has weight 2470572080 (103.86/col)
  418. Sun Jul 12 09:29:11 2026 filtering completed in 2 passes
  419. Sun Jul 12 09:29:19 2026 matrix is 23785455 x 23785633 (10513.2 MB) with weight 3217721334 (135.28/col)
  420. Sun Jul 12 09:29:19 2026 sparse part has weight 2470549294 (103.87/col)
  421. Sun Jul 12 09:30:33 2026 building matrix for density 130
  422. Sun Jul 12 09:30:35 2026 read 22551690 cycles
  423. Sun Jul 12 09:31:30 2026 cycles contain 82371197 unique relations
  424. Sun Jul 12 09:36:53 2026 read 82371197 relations
  425. Sun Jul 12 09:37:33 2026 using 20 quadratic characters above 4294917295
  426. Sun Jul 12 09:38:03 2026 building initial matrix
  427. Sun Jul 12 09:56:05 2026 memory use: 11716.8 MB
  428. Sun Jul 12 09:56:15 2026 read 22551690 cycles
  429. Sun Jul 12 09:56:18 2026 matrix is 22551513 x 22551690 (11453.9 MB) with weight 3474667436 (154.08/col)
  430. Sun Jul 12 09:56:18 2026 sparse part has weight 2731938590 (121.14/col)
  431. Sun Jul 12 09:59:18 2026 filtering completed in 2 passes
  432. Sun Jul 12 09:59:23 2026 matrix is 22550980 x 22551157 (11453.8 MB) with weight 3474642079 (154.08/col)
  433. Sun Jul 12 09:59:23 2026 sparse part has weight 2731931636 (121.14/col)
  434. Sun Jul 12 10:00:15 2026 BLanczosTime: 6699
  435. Sun Jul 12 10:00:15 2026 elapsed time 08:13:11
  436. Sun Jul 12 16:53:37 2026
  437. Sun Jul 12 16:53:37 2026
  438. Sun Jul 12 16:53:37 2026 Msieve v. 1.54 (SVN unknown)
  439. Sun Jul 12 16:53:37 2026 random seeds: b734c595 6e67881f
  440. Sun Jul 12 16:53:37 2026 Using 8 OpenMP threads
  441. Sun Jul 12 16:53:37 2026 factoring 9124923410771437992102879711109080749761420087247245484563098263554181480152635736486236896634899181754241776580083780355086873037628307622762835274470425163131721383795056702139812228381 (187 digits)
  442. Sun Jul 12 16:53:37 2026 no P-1/P+1/ECM available, skipping
  443. Sun Jul 12 16:53:37 2026 commencing number field sieve (187-digit input)
  444. Sun Jul 12 16:53:37 2026 R0: -1908528224840676936312141246871046253
  445. Sun Jul 12 16:53:37 2026 R1: 4652410848023323438021
  446. Sun Jul 12 16:53:37 2026 A0: -691907076703527948862061122790199141946720
  447. Sun Jul 12 16:53:37 2026 A1: -1109025132423443513857822945697563210
  448. Sun Jul 12 16:53:37 2026 A2: -148461251887443434508240549677
  449. Sun Jul 12 16:53:37 2026 A3: 4136990555941660804771
  450. Sun Jul 12 16:53:37 2026 A4: -194324876270322
  451. Sun Jul 12 16:53:37 2026 A5: 720720
  452. Sun Jul 12 16:53:37 2026 skew 22114984.37, size 3.697e-18, alpha -7.041, combined = 3.893e-14 rroots = 3
  453. Sun Jul 12 16:53:37 2026
  454. Sun Jul 12 16:53:37 2026 commencing linear algebra
  455. Sun Jul 12 16:53:37 2026 using VBITS=256
  456. Sun Jul 12 16:53:37 2026 skipping matrix build
  457. Sun Jul 12 16:53:46 2026 matrix starts at (0, 0)
  458. Sun Jul 12 16:53:49 2026 matrix is 22550980 x 22551157 (11453.8 MB) with weight 3474642079 (154.08/col)
  459. Sun Jul 12 16:53:49 2026 sparse part has weight 2731931636 (121.14/col)
  460. Sun Jul 12 16:53:49 2026 saving the first 240 matrix rows for later
  461. Sun Jul 12 16:53:54 2026 matrix includes 256 packed rows
  462. Sun Jul 12 16:54:03 2026 matrix is 22550740 x 22551157 (10431.0 MB) with weight 2513270717 (111.45/col)
  463. Sun Jul 12 16:54:03 2026 sparse part has weight 2373597053 (105.25/col)
  464. Sun Jul 12 16:54:03 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  465. Sun Jul 12 16:54:03 2026 selected card has CUDA arch 12.0
  466. Sun Jul 12 16:54:05 2026 computed block_nnz 165550058 (L2 cache 100663296 bytes, average column weight 105.3)
  467. Sun Jul 12 16:54:05 2026 nonzeros per matrix block: 256000000
  468. Sun Jul 12 16:58:49 2026 commencing Lanczos iteration
  469. Sun Jul 12 16:58:52 2026 memory use: 25335.3 MB
  470. Sun Jul 12 16:59:19 2026 linear algebra at 0.1%, ETA 5h18m
  471. Sun Jul 12 16:59:58 2026 checking every 70000 dimensions, checkpointing every 4270000 dimensions
  472. Sun Jul 12 22:14:52 2026 lanczos halted after 88355 iterations (dim = 22550740)
  473. Sun Jul 12 22:16:32 2026 recovered 32 nontrivial dependencies
  474. Sun Jul 12 22:16:33 2026 BLanczosTime: 19376
  475. Sun Jul 12 22:16:33 2026 elapsed time 05:22:56
  476. Sun Jul 12 18:20:18 2026
  477. Sun Jul 12 18:20:18 2026
  478. Sun Jul 12 18:20:18 2026 Msieve v. 1.54 (SVN unknown)
  479. Sun Jul 12 18:20:18 2026 random seeds: 99d4dd7b 89df7313
  480. Sun Jul 12 18:20:18 2026 Using 8 OpenMP threads
  481. Sun Jul 12 18:20:18 2026 factoring 9124923410771437992102879711109080749761420087247245484563098263554181480152635736486236896634899181754241776580083780355086873037628307622762835274470425163131721383795056702139812228381 (187 digits)
  482. Sun Jul 12 18:20:18 2026 no P-1/P+1/ECM available, skipping
  483. Sun Jul 12 18:20:18 2026 commencing number field sieve (187-digit input)
  484. Sun Jul 12 18:20:18 2026 R0: -1908528224840676936312141246871046253
  485. Sun Jul 12 18:20:18 2026 R1: 4652410848023323438021
  486. Sun Jul 12 18:20:18 2026 A0: -691907076703527948862061122790199141946720
  487. Sun Jul 12 18:20:18 2026 A1: -1109025132423443513857822945697563210
  488. Sun Jul 12 18:20:18 2026 A2: -148461251887443434508240549677
  489. Sun Jul 12 18:20:18 2026 A3: 4136990555941660804771
  490. Sun Jul 12 18:20:18 2026 A4: -194324876270322
  491. Sun Jul 12 18:20:18 2026 A5: 720720
  492. Sun Jul 12 18:20:18 2026 skew 22114984.37, size 3.697e-18, alpha -7.041, combined = 3.893e-14 rroots = 3
  493. Sun Jul 12 18:20:18 2026
  494. Sun Jul 12 18:20:18 2026 commencing square root phase
  495. Sun Jul 12 18:20:18 2026 reading relations for dependency 1
  496. Sun Jul 12 18:20:20 2026 read 11274089 cycles
  497. Sun Jul 12 18:20:36 2026 cycles contain 41187676 unique relations
  498. Sun Jul 12 18:30:17 2026 read 41187676 relations
  499. Sun Jul 12 18:34:03 2026 multiplying 41187676 relations
  500. Sun Jul 12 18:38:14 2026 multiply complete, coefficients have about 2486.42 million bits
  501. Sun Jul 12 18:38:19 2026 initial square root is modulo 377371
  502. Sun Jul 12 18:47:20 2026 sqrtTime: 1622
  503. Sun Jul 12 18:47:20 2026 p90 factor: 423167088303330248319394468504385557161500699156947794346515961352579778315752525680813699
  504. Sun Jul 12 18:47:20 2026 p98 factor: 21563405243440399422079749794523827754950493104996366453223634162534927062635004692475107931261919
  505. Sun Jul 12 18:47:20 2026 elapsed time 00:27:02
  506.  
Tags: math
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