kyleaskine

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Jun 22nd, 2026
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  1. Sat Jun 20 09:41:01 2026
  2. Sat Jun 20 09:41:01 2026
  3. Sat Jun 20 09:41:01 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Jun 20 09:41:01 2026 random seeds: 850701d1 7d1c6d7b
  5. Sat Jun 20 09:41:01 2026 Using 8 OpenMP threads
  6. Sat Jun 20 09:41:01 2026 factoring 409660412110452600974379434154990839727221114376047319201582275789948201716709160710082427498863155187854436194983263528702035689004820302881311442394457936603344267117311825051446158664289 (189 digits)
  7. Sat Jun 20 09:41:01 2026 no P-1/P+1/ECM available, skipping
  8. Sat Jun 20 09:41:01 2026 commencing number field sieve (189-digit input)
  9. Sat Jun 20 09:41:01 2026 R0: -4691841035308855634761381764647614349
  10. Sat Jun 20 09:41:01 2026 R1: 67337153202038865931463
  11. Sat Jun 20 09:41:01 2026 A0: -45295858690467454826862425070750695508784749360
  12. Sat Jun 20 09:41:01 2026 A1: 882884554895083636941882076985808415554
  13. Sat Jun 20 09:41:01 2026 A2: -615713347710922621165746299153
  14. Sat Jun 20 09:41:01 2026 A3: -33484000942348734629227
  15. Sat Jun 20 09:41:01 2026 A4: 55986519198730
  16. Sat Jun 20 09:41:01 2026 A5: 360360
  17. Sat Jun 20 09:41:01 2026 skew 215923764.93, size 2.502e-18, alpha -8.474, combined = 3.107e-14 rroots = 3
  18. Sat Jun 20 09:41:01 2026
  19. Sat Jun 20 09:41:01 2026 commencing relation filtering
  20. Sat Jun 20 09:41:01 2026 setting 2 target densities:Sat Jun 20 09:41:01 2026 100Sat Jun 20 09:41:01 2026 120Sat Jun 20 09:41:01 2026
  21. Sat Jun 20 09:41:01 2026 estimated available RAM is 78540.1 MB
  22. Sat Jun 20 09:41:01 2026 commencing duplicate removal, pass 1
  23. Sat Jun 20 09:44:57 2026 error -1 reading relation 108213902
  24. Sat Jun 20 09:44:58 2026 error -1 reading relation 108492898
  25. Sat Jun 20 09:45:43 2026 error -1 reading relation 137713436
  26. Sat Jun 20 09:45:50 2026 error -5 reading relation 141537805
  27. Sat Jun 20 09:46:50 2026 error -1 reading relation 167781630
  28. Sat Jun 20 09:46:53 2026 error -11 reading relation 169512386
  29. Sat Jun 20 09:47:01 2026 error -1 reading relation 173737025
  30. Sat Jun 20 09:47:16 2026 error -1 reading relation 180741568
  31. Sat Jun 20 09:48:11 2026 error -1 reading relation 204410399
  32. Sat Jun 20 09:48:35 2026 error -1 reading relation 214265023
  33. Sat Jun 20 09:48:54 2026 error -1 reading relation 222092322
  34. Sat Jun 20 09:49:01 2026 error -1 reading relation 225139012
  35. Sat Jun 20 09:49:03 2026 error -1 reading relation 225502034
  36. Sat Jun 20 09:49:05 2026 error -1 reading relation 227107545
  37. Sat Jun 20 09:50:17 2026 error -1 reading relation 259008346
  38. Sat Jun 20 09:50:32 2026 error -1 reading relation 265294539
  39. Sat Jun 20 09:50:45 2026 error -1 reading relation 270599847
  40. Sat Jun 20 09:50:55 2026 error -1 reading relation 275027377
  41. Sat Jun 20 09:51:34 2026 error -1 reading relation 292019220
  42. Sat Jun 20 09:51:34 2026 error -1 reading relation 292517016
  43. Sat Jun 20 09:51:45 2026 error -11 reading relation 298368355
  44. Sat Jun 20 09:52:24 2026 error -1 reading relation 315362429
  45. Sat Jun 20 09:52:43 2026 error -1 reading relation 323404386
  46. Sat Jun 20 09:52:58 2026 error -1 reading relation 330106502
  47. Sat Jun 20 09:53:40 2026 error -1 reading relation 349858211
  48. Sat Jun 20 09:53:50 2026 error -1 reading relation 355404192
  49. Sat Jun 20 09:53:54 2026 error -1 reading relation 358812367
  50. Sat Jun 20 09:53:56 2026 error -1 reading relation 359778979
  51. Sat Jun 20 09:53:58 2026 error -1 reading relation 360861858
  52. Sat Jun 20 09:53:58 2026 error -1 reading relation 361014257
  53. Sat Jun 20 09:54:00 2026 error -1 reading relation 362334027
  54. Sat Jun 20 09:54:00 2026 error -1 reading relation 362558155
  55. Sat Jun 20 09:54:06 2026 error -1 reading relation 366418697
  56. Sat Jun 20 09:54:08 2026 error -1 reading relation 367619324
  57. Sat Jun 20 09:54:11 2026 error -1 reading relation 369300637
  58. Sat Jun 20 09:54:28 2026 error -1 reading relation 380325250
  59. Sat Jun 20 09:54:37 2026 error -1 reading relation 386528271
  60. Sat Jun 20 09:55:00 2026 error -1 reading relation 399674928
  61. Sat Jun 20 09:55:02 2026 error -1 reading relation 400865399
  62. Sat Jun 20 09:55:04 2026 error -1 reading relation 401454094
  63. Sat Jun 20 09:55:04 2026 error -1 reading relation 401621845
  64. Sat Jun 20 09:55:04 2026 error -1 reading relation 401779674
  65. Sat Jun 20 09:55:32 2026 error -1 reading relation 411220776
  66. Sat Jun 20 09:55:44 2026 error -1 reading relation 415015761
  67. Sat Jun 20 09:56:19 2026 error -1 reading relation 428410016
  68. Sat Jun 20 09:57:15 2026 error -1 reading relation 448452850
  69. Sat Jun 20 09:57:39 2026 error -1 reading relation 462395049
  70. Sat Jun 20 09:57:40 2026 error -1 reading relation 463694258
  71. Sat Jun 20 09:57:48 2026 error -1 reading relation 469081051
  72. Sat Jun 20 09:57:54 2026 error -1 reading relation 473675462
  73. Sat Jun 20 09:57:55 2026 error -1 reading relation 474285003
  74. Sat Jun 20 09:57:58 2026 error -1 reading relation 476992979
  75. Sat Jun 20 09:58:01 2026 error -1 reading relation 479230258
  76. Sat Jun 20 09:58:04 2026 error -1 reading relation 480845133
  77. Sat Jun 20 09:58:15 2026 error -1 reading relation 488274456
  78. Sat Jun 20 09:58:20 2026 error -1 reading relation 491673212
  79. Sat Jun 20 09:58:25 2026 error -1 reading relation 494805085
  80. Sat Jun 20 09:58:40 2026 error -1 reading relation 506232760
  81. Sat Jun 20 09:58:41 2026 error -1 reading relation 506561924
  82. Sat Jun 20 09:58:50 2026 error -1 reading relation 509571880
  83. Sat Jun 20 09:59:09 2026 error -1 reading relation 517051831
  84. Sat Jun 20 09:59:35 2026 error -1 reading relation 527445190
  85. Sat Jun 20 09:59:42 2026 error -11 reading relation 529113382
  86. Sat Jun 20 10:00:19 2026 error -1 reading relation 541918054
  87. Sat Jun 20 10:00:27 2026 error -1 reading relation 544850652
  88. Sat Jun 20 10:00:36 2026 error -1 reading relation 547846680
  89. Sat Jun 20 10:00:40 2026 error -1 reading relation 549353758
  90. Sat Jun 20 10:00:45 2026 error -1 reading relation 550784607
  91. Sat Jun 20 10:00:45 2026 error -1 reading relation 550790124
  92. Sat Jun 20 10:00:45 2026 error -1 reading relation 551105804
  93. Sat Jun 20 10:00:55 2026 error -1 reading relation 554425338
  94. Sat Jun 20 10:00:57 2026 error -1 reading relation 554886531
  95. Sat Jun 20 10:01:08 2026 error -1 reading relation 558567540
  96. Sat Jun 20 10:02:11 2026 error -1 reading relation 579613324
  97. Sat Jun 20 10:02:11 2026 error -1 reading relation 579614779
  98. Sat Jun 20 10:02:21 2026 error -1 reading relation 583163547
  99. Sat Jun 20 10:02:28 2026 error -1 reading relation 585409713
  100. Sat Jun 20 10:02:33 2026 error -1 reading relation 587330607
  101. Sat Jun 20 10:02:39 2026 error -1 reading relation 589405354
  102. Sat Jun 20 10:02:46 2026 error -1 reading relation 591886141
  103. Sat Jun 20 10:02:59 2026 error -1 reading relation 596035820
  104. Sat Jun 20 10:03:46 2026 error -1 reading relation 610883995
  105. Sat Jun 20 10:04:38 2026 error -15 reading relation 627547459
  106. Sat Jun 20 10:04:49 2026 error -1 reading relation 630717341
  107. Sat Jun 20 10:05:03 2026 error -1 reading relation 639488077
  108. Sat Jun 20 10:05:09 2026 error -1 reading relation 643818802
  109. Sat Jun 20 10:05:12 2026 error -1 reading relation 645970526
  110. Sat Jun 20 10:05:12 2026 error -1 reading relation 646016046
  111. Sat Jun 20 10:05:15 2026 skipped 3 relations with composite factors
  112. Sat Jun 20 10:05:15 2026 skipped 673 malformed relations
  113. Sat Jun 20 10:05:15 2026 found 138903968 hash collisions in 648257893 relations
  114. Sat Jun 20 10:05:26 2026 commencing duplicate removal, pass 2
  115. Sat Jun 20 10:12:11 2026 found 148769658 duplicates and 499488235 unique relations
  116. Sat Jun 20 10:12:11 2026 memory use: 3411.0 MB
  117. Sat Jun 20 10:12:12 2026 reading ideals above 299958272
  118. Sat Jun 20 10:12:12 2026 commencing singleton removal, initial pass
  119. Sat Jun 20 10:44:00 2026 memory use: 11024.0 MB
  120. Sat Jun 20 10:44:01 2026 reading all ideals from disk
  121. Sat Jun 20 10:44:33 2026 memory use: 13008.0 MB
  122. Sat Jun 20 10:45:08 2026 commencing in-memory singleton removal
  123. Sat Jun 20 10:45:13 2026 begin with 499488235 relations and 443330327 unique ideals
  124. Sat Jun 20 10:46:00 2026 reduce to 299240939 relations and 221175343 ideals in 16 passes
  125. Sat Jun 20 10:46:00 2026 max relations containing the same ideal: 48
  126. Sat Jun 20 10:46:08 2026 reading ideals above 720000
  127. Sat Jun 20 10:46:09 2026 commencing singleton removal, initial pass
  128. Sat Jun 20 11:10:54 2026 memory use: 6024.0 MB
  129. Sat Jun 20 11:10:54 2026 reading all ideals from disk
  130. Sat Jun 20 11:11:03 2026 memory use: 14923.6 MB
  131. Sat Jun 20 11:11:27 2026 keeping 252136166 ideals with weight <= 200, target excess is 1541306
  132. Sat Jun 20 11:12:01 2026 commencing in-memory singleton removal
  133. Sat Jun 20 11:12:07 2026 begin with 299240939 relations and 252136166 unique ideals
  134. Sat Jun 20 11:12:41 2026 reduce to 299224224 relations and 252119451 ideals in 8 passes
  135. Sat Jun 20 11:12:41 2026 max relations containing the same ideal: 200
  136. Sat Jun 20 11:14:43 2026 removing 14980227 relations and 12980227 ideals in 2000000 cliques
  137. Sat Jun 20 11:14:49 2026 commencing in-memory singleton removal
  138. Sat Jun 20 11:14:54 2026 begin with 284243997 relations and 252119451 unique ideals
  139. Sat Jun 20 11:15:43 2026 reduce to 283669199 relations and 238559029 ideals in 9 passes
  140. Sat Jun 20 11:15:43 2026 max relations containing the same ideal: 199
  141. Sat Jun 20 11:17:28 2026 removing 11281843 relations and 9281843 ideals in 2000000 cliques
  142. Sat Jun 20 11:17:33 2026 commencing in-memory singleton removal
  143. Sat Jun 20 11:17:38 2026 begin with 272387356 relations and 238559029 unique ideals
  144. Sat Jun 20 11:18:10 2026 reduce to 272022694 relations and 228909660 ideals in 8 passes
  145. Sat Jun 20 11:18:10 2026 max relations containing the same ideal: 196
  146. Sat Jun 20 11:20:02 2026 removing 10116189 relations and 8116189 ideals in 2000000 cliques
  147. Sat Jun 20 11:20:07 2026 commencing in-memory singleton removal
  148. Sat Jun 20 11:20:12 2026 begin with 261906505 relations and 228909660 unique ideals
  149. Sat Jun 20 11:20:45 2026 reduce to 261595531 relations and 220480112 ideals in 9 passes
  150. Sat Jun 20 11:20:45 2026 max relations containing the same ideal: 194
  151. Sat Jun 20 11:22:31 2026 removing 9476795 relations and 7476795 ideals in 2000000 cliques
  152. Sat Jun 20 11:22:36 2026 commencing in-memory singleton removal
  153. Sat Jun 20 11:22:40 2026 begin with 252118736 relations and 220480112 unique ideals
  154. Sat Jun 20 11:23:09 2026 reduce to 251835382 relations and 212717803 ideals in 8 passes
  155. Sat Jun 20 11:23:09 2026 max relations containing the same ideal: 190
  156. Sat Jun 20 11:24:50 2026 removing 9055164 relations and 7055164 ideals in 2000000 cliques
  157. Sat Jun 20 11:24:54 2026 commencing in-memory singleton removal
  158. Sat Jun 20 11:24:59 2026 begin with 242780218 relations and 212717803 unique ideals
  159. Sat Jun 20 11:25:27 2026 reduce to 242511479 relations and 205391766 ideals in 8 passes
  160. Sat Jun 20 11:25:27 2026 max relations containing the same ideal: 186
  161. Sat Jun 20 11:27:17 2026 removing 8749999 relations and 6749999 ideals in 2000000 cliques
  162. Sat Jun 20 11:27:22 2026 commencing in-memory singleton removal
  163. Sat Jun 20 11:27:26 2026 begin with 233761480 relations and 205391766 unique ideals
  164. Sat Jun 20 11:27:38 2026 reduce to 233499258 relations and 198377511 ideals in 7 passes
  165. Sat Jun 20 11:27:38 2026 max relations containing the same ideal: 182
  166. Sat Jun 20 11:29:12 2026 removing 8528694 relations and 6528694 ideals in 2000000 cliques
  167. Sat Jun 20 11:29:16 2026 commencing in-memory singleton removal
  168. Sat Jun 20 11:29:20 2026 begin with 224970564 relations and 198377511 unique ideals
  169. Sat Jun 20 11:29:43 2026 reduce to 224711247 relations and 191587381 ideals in 7 passes
  170. Sat Jun 20 11:29:43 2026 max relations containing the same ideal: 178
  171. Sat Jun 20 11:31:14 2026 removing 8362045 relations and 6362045 ideals in 2000000 cliques
  172. Sat Jun 20 11:31:18 2026 commencing in-memory singleton removal
  173. Sat Jun 20 11:31:22 2026 begin with 216349202 relations and 191587381 unique ideals
  174. Sat Jun 20 11:31:44 2026 reduce to 216092106 relations and 184966097 ideals in 7 passes
  175. Sat Jun 20 11:31:44 2026 max relations containing the same ideal: 174
  176. Sat Jun 20 11:33:13 2026 removing 8230080 relations and 6230080 ideals in 2000000 cliques
  177. Sat Jun 20 11:33:17 2026 commencing in-memory singleton removal
  178. Sat Jun 20 11:33:20 2026 begin with 207862026 relations and 184966097 unique ideals
  179. Sat Jun 20 11:33:44 2026 reduce to 207602474 relations and 178474314 ideals in 8 passes
  180. Sat Jun 20 11:33:44 2026 max relations containing the same ideal: 168
  181. Sat Jun 20 11:35:08 2026 removing 8137635 relations and 6137635 ideals in 2000000 cliques
  182. Sat Jun 20 11:35:12 2026 commencing in-memory singleton removal
  183. Sat Jun 20 11:35:15 2026 begin with 199464839 relations and 178474314 unique ideals
  184. Sat Jun 20 11:35:32 2026 reduce to 199201302 relations and 172070868 ideals in 6 passes
  185. Sat Jun 20 11:35:32 2026 max relations containing the same ideal: 166
  186. Sat Jun 20 11:36:54 2026 removing 8063272 relations and 6063272 ideals in 2000000 cliques
  187. Sat Jun 20 11:36:58 2026 commencing in-memory singleton removal
  188. Sat Jun 20 11:37:01 2026 begin with 191138030 relations and 172070868 unique ideals
  189. Sat Jun 20 11:37:25 2026 reduce to 190869747 relations and 165736885 ideals in 9 passes
  190. Sat Jun 20 11:37:25 2026 max relations containing the same ideal: 160
  191. Sat Jun 20 11:38:44 2026 removing 8009069 relations and 6009069 ideals in 2000000 cliques
  192. Sat Jun 20 11:38:48 2026 commencing in-memory singleton removal
  193. Sat Jun 20 11:38:51 2026 begin with 182860678 relations and 165736885 unique ideals
  194. Sat Jun 20 11:39:09 2026 reduce to 182584814 relations and 159449384 ideals in 7 passes
  195. Sat Jun 20 11:39:09 2026 max relations containing the same ideal: 156
  196. Sat Jun 20 11:40:27 2026 removing 7979619 relations and 5979619 ideals in 2000000 cliques
  197. Sat Jun 20 11:40:31 2026 commencing in-memory singleton removal
  198. Sat Jun 20 11:40:34 2026 begin with 174605195 relations and 159449384 unique ideals
  199. Sat Jun 20 11:40:53 2026 reduce to 174319279 relations and 153181056 ideals in 8 passes
  200. Sat Jun 20 11:40:53 2026 max relations containing the same ideal: 154
  201. Sat Jun 20 11:42:07 2026 removing 7962486 relations and 5962486 ideals in 2000000 cliques
  202. Sat Jun 20 11:42:10 2026 commencing in-memory singleton removal
  203. Sat Jun 20 11:42:13 2026 begin with 166356793 relations and 153181056 unique ideals
  204. Sat Jun 20 11:42:32 2026 reduce to 166060424 relations and 146919195 ideals in 8 passes
  205. Sat Jun 20 11:42:32 2026 max relations containing the same ideal: 148
  206. Sat Jun 20 11:43:42 2026 removing 7958238 relations and 5958238 ideals in 2000000 cliques
  207. Sat Jun 20 11:43:45 2026 commencing in-memory singleton removal
  208. Sat Jun 20 11:43:48 2026 begin with 158102186 relations and 146919195 unique ideals
  209. Sat Jun 20 11:44:04 2026 reduce to 157791983 relations and 140647370 ideals in 7 passes
  210. Sat Jun 20 11:44:04 2026 max relations containing the same ideal: 144
  211. Sat Jun 20 11:45:12 2026 removing 7970747 relations and 5970747 ideals in 2000000 cliques
  212. Sat Jun 20 11:45:15 2026 commencing in-memory singleton removal
  213. Sat Jun 20 11:45:19 2026 begin with 149821236 relations and 140647370 unique ideals
  214. Sat Jun 20 11:45:33 2026 reduce to 149493108 relations and 134344836 ideals in 7 passes
  215. Sat Jun 20 11:45:33 2026 max relations containing the same ideal: 134
  216. Sat Jun 20 11:46:37 2026 removing 7996611 relations and 5996611 ideals in 2000000 cliques
  217. Sat Jun 20 11:46:40 2026 commencing in-memory singleton removal
  218. Sat Jun 20 11:46:43 2026 begin with 141496497 relations and 134344836 unique ideals
  219. Sat Jun 20 11:46:59 2026 reduce to 141149799 relations and 127997554 ideals in 8 passes
  220. Sat Jun 20 11:46:59 2026 max relations containing the same ideal: 131
  221. Sat Jun 20 11:47:59 2026 removing 8035546 relations and 6035546 ideals in 2000000 cliques
  222. Sat Jun 20 11:48:02 2026 commencing in-memory singleton removal
  223. Sat Jun 20 11:48:05 2026 begin with 133114253 relations and 127997554 unique ideals
  224. Sat Jun 20 11:48:17 2026 reduce to 132744975 relations and 121588290 ideals in 7 passes
  225. Sat Jun 20 11:48:17 2026 max relations containing the same ideal: 126
  226. Sat Jun 20 11:49:15 2026 removing 8096775 relations and 6096775 ideals in 2000000 cliques
  227. Sat Jun 20 11:49:18 2026 commencing in-memory singleton removal
  228. Sat Jun 20 11:49:20 2026 begin with 124648200 relations and 121588290 unique ideals
  229. Sat Jun 20 11:49:32 2026 reduce to 124249833 relations and 115087901 ideals in 7 passes
  230. Sat Jun 20 11:49:32 2026 max relations containing the same ideal: 118
  231. Sat Jun 20 11:50:26 2026 removing 8167067 relations and 6167067 ideals in 2000000 cliques
  232. Sat Jun 20 11:50:29 2026 commencing in-memory singleton removal
  233. Sat Jun 20 11:50:31 2026 begin with 116082766 relations and 115087901 unique ideals
  234. Sat Jun 20 11:50:44 2026 reduce to 115648815 relations and 108480886 ideals in 8 passes
  235. Sat Jun 20 11:50:44 2026 max relations containing the same ideal: 113
  236. Sat Jun 20 11:51:35 2026 removing 8257622 relations and 6257622 ideals in 2000000 cliques
  237. Sat Jun 20 11:51:38 2026 commencing in-memory singleton removal
  238. Sat Jun 20 11:51:40 2026 begin with 107391193 relations and 108480886 unique ideals
  239. Sat Jun 20 11:51:51 2026 reduce to 106915169 relations and 101740200 ideals in 8 passes
  240. Sat Jun 20 11:51:51 2026 max relations containing the same ideal: 108
  241. Sat Jun 20 11:52:39 2026 removing 8372373 relations and 6372373 ideals in 2000000 cliques
  242. Sat Jun 20 11:52:41 2026 commencing in-memory singleton removal
  243. Sat Jun 20 11:52:43 2026 begin with 98542796 relations and 101740200 unique ideals
  244. Sat Jun 20 11:52:54 2026 reduce to 98013854 relations and 94830474 ideals in 8 passes
  245. Sat Jun 20 11:52:54 2026 max relations containing the same ideal: 102
  246. Sat Jun 20 11:53:37 2026 removing 6363653 relations and 4968188 ideals in 1395465 cliques
  247. Sat Jun 20 11:53:40 2026 commencing in-memory singleton removal
  248. Sat Jun 20 11:53:41 2026 begin with 91650201 relations and 94830474 unique ideals
  249. Sat Jun 20 11:53:52 2026 reduce to 91325817 relations and 89534055 ideals in 8 passes
  250. Sat Jun 20 11:53:52 2026 max relations containing the same ideal: 100
  251. Sat Jun 20 11:54:35 2026 trying target density 100
  252. Sat Jun 20 11:54:42 2026 relations with 0 large ideals: 5644
  253. Sat Jun 20 11:54:42 2026 relations with 1 large ideals: 19191
  254. Sat Jun 20 11:54:42 2026 relations with 2 large ideals: 311127
  255. Sat Jun 20 11:54:42 2026 relations with 3 large ideals: 2154353
  256. Sat Jun 20 11:54:42 2026 relations with 4 large ideals: 8060048
  257. Sat Jun 20 11:54:42 2026 relations with 5 large ideals: 17949162
  258. Sat Jun 20 11:54:42 2026 relations with 6 large ideals: 24938101
  259. Sat Jun 20 11:54:42 2026 relations with 7+ large ideals: 37888191
  260. Sat Jun 20 11:54:42 2026 commencing 2-way merge
  261. Sat Jun 20 11:55:45 2026 reduce to 56539208 relation sets and 54747446 unique ideals
  262. Sat Jun 20 11:55:45 2026 commencing full merge
  263. Sat Jun 20 12:16:24 2026 memory use: 6648.2 MB
  264. Sat Jun 20 12:16:33 2026 found 27382722 cycles, need 27153646
  265. Sat Jun 20 12:16:44 2026 weight of 27153646 cycles is about 2715901460 (100.02/cycle)
  266. Sat Jun 20 12:16:44 2026 distribution of cycle lengths:
  267. Sat Jun 20 12:16:44 2026 1 relations: 2539825
  268. Sat Jun 20 12:16:44 2026 2 relations: 2467779
  269. Sat Jun 20 12:16:44 2026 3 relations: 2517414
  270. Sat Jun 20 12:16:44 2026 4 relations: 2385118
  271. Sat Jun 20 12:16:44 2026 5 relations: 2342322
  272. Sat Jun 20 12:16:44 2026 6 relations: 2227847
  273. Sat Jun 20 12:16:44 2026 7 relations: 2083780
  274. Sat Jun 20 12:16:44 2026 8 relations: 1892819
  275. Sat Jun 20 12:16:44 2026 9 relations: 1703138
  276. Sat Jun 20 12:16:44 2026 10+ relations: 6993604
  277. Sat Jun 20 12:16:44 2026 heaviest cycle: 24 relations
  278. Sat Jun 20 12:16:53 2026 commencing cycle optimization
  279. Sat Jun 20 12:17:53 2026 start with 184957656 relations
  280. Sat Jun 20 12:24:30 2026 pruned 5837841 relations
  281. Sat Jun 20 12:24:33 2026 memory use: 5644.1 MB
  282. Sat Jun 20 12:24:33 2026 distribution of cycle lengths:
  283. Sat Jun 20 12:24:33 2026 1 relations: 2539825
  284. Sat Jun 20 12:24:33 2026 2 relations: 2526859
  285. Sat Jun 20 12:24:33 2026 3 relations: 2609903
  286. Sat Jun 20 12:24:33 2026 4 relations: 2460985
  287. Sat Jun 20 12:24:33 2026 5 relations: 2425807
  288. Sat Jun 20 12:24:33 2026 6 relations: 2294485
  289. Sat Jun 20 12:24:33 2026 7 relations: 2146538
  290. Sat Jun 20 12:24:33 2026 8 relations: 1938186
  291. Sat Jun 20 12:24:33 2026 9 relations: 1731306
  292. Sat Jun 20 12:24:33 2026 10+ relations: 6479752
  293. Sat Jun 20 12:24:33 2026 heaviest cycle: 24 relations
  294. Sat Jun 20 12:25:55 2026 trying target density 120
  295. Sat Jun 20 12:26:04 2026 relations with 0 large ideals: 5644
  296. Sat Jun 20 12:26:04 2026 relations with 1 large ideals: 19191
  297. Sat Jun 20 12:26:04 2026 relations with 2 large ideals: 311127
  298. Sat Jun 20 12:26:04 2026 relations with 3 large ideals: 2154353
  299. Sat Jun 20 12:26:04 2026 relations with 4 large ideals: 8060048
  300. Sat Jun 20 12:26:04 2026 relations with 5 large ideals: 17949162
  301. Sat Jun 20 12:26:04 2026 relations with 6 large ideals: 24938101
  302. Sat Jun 20 12:26:04 2026 relations with 7+ large ideals: 37888191
  303. Sat Jun 20 12:26:04 2026 commencing 2-way merge
  304. Sat Jun 20 12:27:02 2026 reduce to 56539208 relation sets and 54747446 unique ideals
  305. Sat Jun 20 12:27:02 2026 commencing full merge
  306. Sat Jun 20 12:52:12 2026 memory use: 6811.1 MB
  307. Sat Jun 20 12:52:21 2026 found 25698601 cycles, need 25555646
  308. Sat Jun 20 12:52:30 2026 weight of 25555646 cycles is about 3067014902 (120.01/cycle)
  309. Sat Jun 20 12:52:31 2026 distribution of cycle lengths:
  310. Sat Jun 20 12:52:31 2026 1 relations: 1770198
  311. Sat Jun 20 12:52:31 2026 2 relations: 1912629
  312. Sat Jun 20 12:52:31 2026 3 relations: 1992224
  313. Sat Jun 20 12:52:31 2026 4 relations: 1940535
  314. Sat Jun 20 12:52:31 2026 5 relations: 1911178
  315. Sat Jun 20 12:52:31 2026 6 relations: 1864815
  316. Sat Jun 20 12:52:31 2026 7 relations: 1775694
  317. Sat Jun 20 12:52:31 2026 8 relations: 1695497
  318. Sat Jun 20 12:52:31 2026 9 relations: 1581816
  319. Sat Jun 20 12:52:31 2026 10+ relations: 9111060
  320. Sat Jun 20 12:52:31 2026 heaviest cycle: 28 relations
  321. Sat Jun 20 12:52:39 2026 commencing cycle optimization
  322. Sat Jun 20 12:53:43 2026 start with 208225014 relations
  323. Sat Jun 20 13:02:40 2026 pruned 7961654 relations
  324. Sat Jun 20 13:02:40 2026 memory use: 5888.2 MB
  325. Sat Jun 20 13:02:40 2026 distribution of cycle lengths:
  326. Sat Jun 20 13:02:40 2026 1 relations: 1770198
  327. Sat Jun 20 13:02:40 2026 2 relations: 1960113
  328. Sat Jun 20 13:02:40 2026 3 relations: 2070878
  329. Sat Jun 20 13:02:40 2026 4 relations: 2008737
  330. Sat Jun 20 13:02:40 2026 5 relations: 1990957
  331. Sat Jun 20 13:02:40 2026 6 relations: 1932682
  332. Sat Jun 20 13:02:40 2026 7 relations: 1849225
  333. Sat Jun 20 13:02:40 2026 8 relations: 1754753
  334. Sat Jun 20 13:02:40 2026 9 relations: 1634690
  335. Sat Jun 20 13:02:40 2026 10+ relations: 8583413
  336. Sat Jun 20 13:02:40 2026 heaviest cycle: 28 relations
  337. Sat Jun 20 13:03:43 2026 RelProcTime: 12162
  338. Sat Jun 20 13:03:48 2026
  339. Sat Jun 20 13:03:48 2026 commencing linear algebra
  340. Sat Jun 20 13:03:48 2026 using VBITS=256
  341. Sat Jun 20 13:03:48 2026 building matrices for all densities
  342. Sat Jun 20 13:03:48 2026 found 2 density files
  343. Sat Jun 20 13:03:48 2026 building matrix for density 100
  344. Sat Jun 20 13:03:58 2026 read 27153646 cycles
  345. Sat Jun 20 13:04:53 2026 cycles contain 90167769 unique relations
  346. Sat Jun 20 13:16:45 2026 read 90167769 relations
  347. Sat Jun 20 13:17:28 2026 using 20 quadratic characters above 4294917295
  348. Sat Jun 20 13:18:10 2026 building initial matrix
  349. Sat Jun 20 13:38:26 2026 memory use: 12879.7 MB
  350. Sat Jun 20 13:38:47 2026 read 27153646 cycles
  351. Sat Jun 20 13:38:51 2026 matrix is 27153467 x 27153646 (11112.1 MB) with weight 3415712988 (125.79/col)
  352. Sat Jun 20 13:38:51 2026 sparse part has weight 2587134180 (95.28/col)
  353. Sat Jun 20 13:43:46 2026 filtering completed in 2 passes
  354. Sat Jun 20 13:43:53 2026 matrix is 27149183 x 27149357 (11111.7 MB) with weight 3415529521 (125.81/col)
  355. Sat Jun 20 13:43:53 2026 sparse part has weight 2587084226 (95.29/col)
  356. Sat Jun 20 13:45:00 2026 building matrix for density 120
  357. Sat Jun 20 13:45:04 2026 read 25555646 cycles
  358. Sat Jun 20 13:45:59 2026 cycles contain 90178580 unique relations
  359. Sat Jun 20 14:02:51 2026 read 90178580 relations
  360. Sat Jun 20 14:03:41 2026 using 20 quadratic characters above 4294917295
  361. Sat Jun 20 14:04:24 2026 building initial matrix
  362. Sat Jun 20 14:26:48 2026 memory use: 12849.0 MB
  363. Sat Jun 20 14:27:46 2026 read 25555646 cycles
  364. Sat Jun 20 14:27:51 2026 matrix is 25555467 x 25555646 (12167.1 MB) with weight 3706168375 (145.02/col)
  365. Sat Jun 20 14:27:51 2026 sparse part has weight 2882858365 (112.81/col)
  366. Sat Jun 20 14:32:05 2026 filtering completed in 2 passes
  367. Sat Jun 20 14:32:12 2026 matrix is 25553904 x 25554079 (12166.9 MB) with weight 3706094786 (145.03/col)
  368. Sat Jun 20 14:32:12 2026 sparse part has weight 2882837707 (112.81/col)
  369. Sat Jun 20 14:33:31 2026 BLanczosTime: 5383
  370. Sat Jun 20 14:33:31 2026 elapsed time 04:52:30
  371. Sat Jun 20 20:22:23 2026
  372. Sat Jun 20 20:22:23 2026
  373. Sat Jun 20 20:22:23 2026 Msieve v. 1.54 (SVN unknown)
  374. Sat Jun 20 20:22:23 2026 random seeds: 55798a98 abc51986
  375. Sat Jun 20 20:22:23 2026 Using 8 OpenMP threads
  376. Sat Jun 20 20:22:23 2026 factoring 409660412110452600974379434154990839727221114376047319201582275789948201716709160710082427498863155187854436194983263528702035689004820302881311442394457936603344267117311825051446158664289 (189 digits)
  377. Sat Jun 20 20:22:23 2026 no P-1/P+1/ECM available, skipping
  378. Sat Jun 20 20:22:23 2026 commencing number field sieve (189-digit input)
  379. Sat Jun 20 20:22:23 2026 R0: -4691841035308855634761381764647614349
  380. Sat Jun 20 20:22:23 2026 R1: 67337153202038865931463
  381. Sat Jun 20 20:22:23 2026 A0: -45295858690467454826862425070750695508784749360
  382. Sat Jun 20 20:22:23 2026 A1: 882884554895083636941882076985808415554
  383. Sat Jun 20 20:22:23 2026 A2: -615713347710922621165746299153
  384. Sat Jun 20 20:22:23 2026 A3: -33484000942348734629227
  385. Sat Jun 20 20:22:23 2026 A4: 55986519198730
  386. Sat Jun 20 20:22:23 2026 A5: 360360
  387. Sat Jun 20 20:22:23 2026 skew 215923764.93, size 2.502e-18, alpha -8.474, combined = 3.107e-14 rroots = 3
  388. Sat Jun 20 20:22:23 2026
  389. Sat Jun 20 20:22:23 2026 commencing linear algebra
  390. Sat Jun 20 20:22:23 2026 using VBITS=256
  391. Sat Jun 20 20:22:23 2026 skipping matrix build
  392. Sat Jun 20 20:22:39 2026 matrix starts at (0, 0)
  393. Sat Jun 20 20:22:46 2026 matrix is 25553904 x 25554079 (12166.9 MB) with weight 3706094786 (145.03/col)
  394. Sat Jun 20 20:22:46 2026 sparse part has weight 2882837707 (112.81/col)
  395. Sat Jun 20 20:22:46 2026 saving the first 240 matrix rows for later
  396. Sat Jun 20 20:22:57 2026 matrix includes 256 packed rows
  397. Sat Jun 20 20:23:19 2026 matrix is 25553664 x 25554079 (10991.9 MB) with weight 2635827641 (103.15/col)
  398. Sat Jun 20 20:23:19 2026 sparse part has weight 2472603145 (96.76/col)
  399. Sat Jun 20 20:23:19 2026 using GPU 0 (Tesla V100-SXM2-32GB)
  400. Sat Jun 20 20:23:19 2026 selected card has CUDA arch 7.0
  401. Sat Jun 20 20:23:21 2026 nonzeros per matrix block: 256000000
  402. Sat Jun 20 20:30:31 2026 commencing Lanczos iteration
  403. Sat Jun 20 20:30:35 2026 memory use: 27150.3 MB
  404. Sat Jun 20 20:33:11 2026 linear algebra at 0.1%, ETA 35h38m
  405. Sat Jun 20 20:37:02 2026 checking every 10000 dimensions, checkpointing every 720000 dimensions
  406. Sun Jun 21 00:28:36 2026
  407. Sun Jun 21 00:28:36 2026
  408. Sun Jun 21 00:28:36 2026 Msieve v. 1.54 (SVN unknown)
  409. Sun Jun 21 00:28:36 2026 random seeds: 2e35a300 aaaa9228
  410. Sun Jun 21 00:28:36 2026 Using 8 OpenMP threads
  411. Sun Jun 21 00:28:36 2026 factoring 409660412110452600974379434154990839727221114376047319201582275789948201716709160710082427498863155187854436194983263528702035689004820302881311442394457936603344267117311825051446158664289 (189 digits)
  412. Sun Jun 21 00:28:37 2026 no P-1/P+1/ECM available, skipping
  413. Sun Jun 21 00:28:37 2026 commencing number field sieve (189-digit input)
  414. Sun Jun 21 00:28:37 2026 R0: -4691841035308855634761381764647614349
  415. Sun Jun 21 00:28:37 2026 R1: 67337153202038865931463
  416. Sun Jun 21 00:28:37 2026 A0: -45295858690467454826862425070750695508784749360
  417. Sun Jun 21 00:28:37 2026 A1: 882884554895083636941882076985808415554
  418. Sun Jun 21 00:28:37 2026 A2: -615713347710922621165746299153
  419. Sun Jun 21 00:28:37 2026 A3: -33484000942348734629227
  420. Sun Jun 21 00:28:37 2026 A4: 55986519198730
  421. Sun Jun 21 00:28:37 2026 A5: 360360
  422. Sun Jun 21 00:28:37 2026 skew 215923764.93, size 2.502e-18, alpha -8.474, combined = 3.107e-14 rroots = 3
  423. Sun Jun 21 00:28:37 2026
  424. Sun Jun 21 00:28:37 2026 commencing linear algebra
  425. Sun Jun 21 00:28:37 2026 using VBITS=256
  426. Sun Jun 21 00:28:52 2026 matrix starts at (0, 0)
  427. Sun Jun 21 00:28:57 2026 matrix is 25553904 x 25554079 (12166.9 MB) with weight 3706094786 (145.03/col)
  428. Sun Jun 21 00:28:57 2026 sparse part has weight 2882837707 (112.81/col)
  429. Sun Jun 21 00:28:57 2026 saving the first 240 matrix rows for later
  430. Sun Jun 21 00:29:06 2026 matrix includes 256 packed rows
  431. Sun Jun 21 00:29:16 2026 matrix is 25553664 x 25554079 (10991.9 MB) with weight 2635827641 (103.15/col)
  432. Sun Jun 21 00:29:16 2026 sparse part has weight 2472603145 (96.76/col)
  433. Sun Jun 21 00:29:16 2026 using GPU 0 (Tesla V100-SXM2-32GB)
  434. Sun Jun 21 00:29:16 2026 selected card has CUDA arch 7.0
  435. Sun Jun 21 00:29:18 2026 nonzeros per matrix block: 256000000
  436. Sun Jun 21 00:36:45 2026 commencing Lanczos iteration
  437. Sun Jun 21 00:36:49 2026 memory use: 27150.3 MB
  438. Sun Jun 21 00:36:52 2026 restarting at iteration 5643 (dim = 1440162)
  439. Sun Jun 21 00:38:29 2026 checking every 10000 dimensions, checkpointing every 720000 dimensions
  440. Sun Jun 21 00:39:26 2026 linear algebra at 5.8%, ETA 33h37m
  441. Mon Jun 22 10:11:11 2026 lanczos halted after 100119 iterations (dim = 25553664)
  442. Mon Jun 22 10:13:14 2026 recovered 32 nontrivial dependencies
  443. Mon Jun 22 10:13:15 2026 BLanczosTime: 121478
  444. Mon Jun 22 10:13:15 2026 elapsed time 33:44:39
  445. Mon Jun 22 06:14:20 2026
  446. Mon Jun 22 06:14:20 2026
  447. Mon Jun 22 06:14:20 2026 Msieve v. 1.54 (SVN unknown)
  448. Mon Jun 22 06:14:20 2026 random seeds: 84e43233 ea77b9ad
  449. Mon Jun 22 06:14:20 2026 Using 8 OpenMP threads
  450. Mon Jun 22 06:14:20 2026 factoring 409660412110452600974379434154990839727221114376047319201582275789948201716709160710082427498863155187854436194983263528702035689004820302881311442394457936603344267117311825051446158664289 (189 digits)
  451. Mon Jun 22 06:14:21 2026 no P-1/P+1/ECM available, skipping
  452. Mon Jun 22 06:14:21 2026 commencing number field sieve (189-digit input)
  453. Mon Jun 22 06:14:21 2026 R0: -4691841035308855634761381764647614349
  454. Mon Jun 22 06:14:21 2026 R1: 67337153202038865931463
  455. Mon Jun 22 06:14:21 2026 A0: -45295858690467454826862425070750695508784749360
  456. Mon Jun 22 06:14:21 2026 A1: 882884554895083636941882076985808415554
  457. Mon Jun 22 06:14:21 2026 A2: -615713347710922621165746299153
  458. Mon Jun 22 06:14:21 2026 A3: -33484000942348734629227
  459. Mon Jun 22 06:14:21 2026 A4: 55986519198730
  460. Mon Jun 22 06:14:21 2026 A5: 360360
  461. Mon Jun 22 06:14:21 2026 skew 215923764.93, size 2.502e-18, alpha -8.474, combined = 3.107e-14 rroots = 3
  462. Mon Jun 22 06:14:21 2026
  463. Mon Jun 22 06:14:21 2026 commencing square root phase
  464. Mon Jun 22 06:14:21 2026 reading relations for dependency 1
  465. Mon Jun 22 06:14:52 2026 read 12775942 cycles
  466. Mon Jun 22 06:16:14 2026 cycles contain 45081392 unique relations
  467. Mon Jun 22 06:33:26 2026 read 45081392 relations
  468. Mon Jun 22 06:40:58 2026 multiplying 45081392 relations
  469. Mon Jun 22 06:50:36 2026 multiply complete, coefficients have about 2649.78 million bits
  470. Mon Jun 22 06:50:47 2026 initial square root is modulo 877321
  471. Mon Jun 22 07:11:23 2026 GCD is 1, no factor found
  472. Mon Jun 22 07:11:23 2026 reading relations for dependency 2
  473. Mon Jun 22 07:11:27 2026 read 12778503 cycles
  474. Mon Jun 22 07:12:14 2026 cycles contain 45084798 unique relations
  475. Mon Jun 22 07:21:56 2026 read 45084798 relations
  476. Mon Jun 22 07:27:39 2026 multiplying 45084798 relations
  477. Mon Jun 22 07:36:14 2026 multiply complete, coefficients have about 2649.95 million bits
  478. Mon Jun 22 07:36:25 2026 initial square root is modulo 878021
  479. Mon Jun 22 07:56:14 2026 sqrtTime: 6113
  480. Mon Jun 22 07:56:14 2026 p86 factor: 49359468202386666251065954758892160187758830131467962531766473226834417578725387596189
  481. Mon Jun 22 07:56:14 2026 p103 factor: 8299530506097397370577514297413957225565833331046550370449315339491615213567799561989513024680323082901
  482. Mon Jun 22 07:56:14 2026 elapsed time 01:41:54
  483.  
Tags: math
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