kyleaskine

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Feb 13th, 2026
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  1. Thu Feb 12 16:03:23 2026
  2. Thu Feb 12 16:03:23 2026
  3. Thu Feb 12 16:03:23 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Feb 12 16:03:23 2026 random seeds: 1fd7e603 46bc458b
  5. Thu Feb 12 16:03:23 2026 Using 8 OpenMP threads
  6. Thu Feb 12 16:03:23 2026 factoring 29615723765750812047470781470855403291990326042982423614917572684364835923395835770702582867321504844362392109363575692281698598207787214592484382070368525912869841428757915758043391071139409336722806117 (203 digits)
  7. Thu Feb 12 16:03:23 2026 searching for 15-digit factors
  8. Thu Feb 12 16:03:24 2026 commencing number field sieve (203-digit input)
  9. Thu Feb 12 16:03:24 2026 R0: 22505773504514793281951248322
  10. Thu Feb 12 16:03:24 2026 R1: -150019243780639
  11. Thu Feb 12 16:03:24 2026 A0: 1
  12. Thu Feb 12 16:03:24 2026 A1: -4
  13. Thu Feb 12 16:03:24 2026 A2: -10
  14. Thu Feb 12 16:03:24 2026 A3: 10
  15. Thu Feb 12 16:03:24 2026 A4: 15
  16. Thu Feb 12 16:03:24 2026 A5: -6
  17. Thu Feb 12 16:03:24 2026 A6: -7
  18. Thu Feb 12 16:03:24 2026 A7: 1
  19. Thu Feb 12 16:03:24 2026 A8: 1
  20. Thu Feb 12 16:03:24 2026 skew 1.27, size 1.324e-06, alpha 3.205, combined = 5.442e-14 rroots = 8
  21. Thu Feb 12 16:03:24 2026
  22. Thu Feb 12 16:03:24 2026 commencing relation filtering
  23. Thu Feb 12 16:03:24 2026 estimated available RAM is 78540.1 MB
  24. Thu Feb 12 16:03:24 2026 commencing duplicate removal, pass 1
  25. Thu Feb 12 16:03:25 2026 error -1 reading relation 244100
  26. Thu Feb 12 16:03:37 2026 error -1 reading relation 4422206
  27. Thu Feb 12 16:03:37 2026 error -1 reading relation 4435410
  28. Thu Feb 12 16:03:37 2026 error -1 reading relation 4446790
  29. Thu Feb 12 16:03:37 2026 error -1 reading relation 4505496
  30. Thu Feb 12 16:04:11 2026 error -1 reading relation 16930930
  31. Thu Feb 12 16:04:25 2026 error -1 reading relation 21801216
  32. Thu Feb 12 16:04:31 2026 error -1 reading relation 24037076
  33. Thu Feb 12 16:04:47 2026 error -5 reading relation 29845575
  34. Thu Feb 12 16:06:34 2026 error -1 reading relation 69162323
  35. Thu Feb 12 16:07:23 2026 error -1 reading relation 87062937
  36. Thu Feb 12 16:08:22 2026 error -1 reading relation 109066281
  37. Thu Feb 12 16:08:57 2026 error -1 reading relation 122173554
  38. Thu Feb 12 16:08:59 2026 error -1 reading relation 122968033
  39. Thu Feb 12 16:09:18 2026 error -1 reading relation 129833250
  40. Thu Feb 12 16:09:49 2026 error -1 reading relation 141211360
  41. Thu Feb 12 16:10:12 2026 error -1 reading relation 149255622
  42. Thu Feb 12 16:10:19 2026 error -1 reading relation 152210225
  43. Thu Feb 12 16:10:32 2026 error -1 reading relation 156919869
  44. Thu Feb 12 16:11:00 2026 error -1 reading relation 167126422
  45. Thu Feb 12 16:11:48 2026 error -1 reading relation 184792479
  46. Thu Feb 12 16:12:22 2026 error -1 reading relation 198891199
  47. Thu Feb 12 16:12:41 2026 error -1 reading relation 209041678
  48. Thu Feb 12 16:12:57 2026 error -1 reading relation 217426993
  49. Thu Feb 12 16:13:03 2026 error -1 reading relation 221140851
  50. Thu Feb 12 16:13:05 2026 error -1 reading relation 222259971
  51. Thu Feb 12 16:13:11 2026 error -1 reading relation 225593296
  52. Thu Feb 12 16:13:21 2026 error -1 reading relation 231958243
  53. Thu Feb 12 16:13:31 2026 error -1 reading relation 238853533
  54. Thu Feb 12 16:13:33 2026 error -1 reading relation 240194270
  55. Thu Feb 12 16:14:15 2026 error -1 reading relation 255617069
  56. Thu Feb 12 16:14:35 2026 error -1 reading relation 263069227
  57. Thu Feb 12 16:14:35 2026 error -1 reading relation 263072771
  58. Thu Feb 12 16:14:35 2026 error -1 reading relation 263074275
  59. Thu Feb 12 16:14:35 2026 error -1 reading relation 263075370
  60. Thu Feb 12 16:15:59 2026 error -1 reading relation 293309787
  61. Thu Feb 12 16:15:59 2026 error -1 reading relation 293408077
  62. Thu Feb 12 16:15:59 2026 error -1 reading relation 293409646
  63. Thu Feb 12 16:16:15 2026 error -1 reading relation 299521231
  64. Thu Feb 12 16:16:29 2026 error -15 reading relation 304407433
  65. Thu Feb 12 16:16:40 2026 error -1 reading relation 308673123
  66. Thu Feb 12 16:17:13 2026 error -1 reading relation 320536693
  67. Thu Feb 12 16:18:03 2026 error -1 reading relation 338596965
  68. Thu Feb 12 16:18:20 2026 error -1 reading relation 344803651
  69. Thu Feb 12 16:18:25 2026 error -1 reading relation 346698842
  70. Thu Feb 12 16:18:45 2026 error -1 reading relation 353945282
  71. Thu Feb 12 16:18:50 2026 error -15 reading relation 355614403
  72. Thu Feb 12 16:18:50 2026 error -15 reading relation 355684889
  73. Thu Feb 12 16:18:58 2026 error -1 reading relation 358645301
  74. Thu Feb 12 16:19:03 2026 error -1 reading relation 360639562
  75. Thu Feb 12 16:19:04 2026 error -15 reading relation 360937299
  76. Thu Feb 12 16:19:05 2026 error -1 reading relation 361282579
  77. Thu Feb 12 16:19:16 2026 error -15 reading relation 365492548
  78. Thu Feb 12 16:19:55 2026 error -1 reading relation 379483037
  79. Thu Feb 12 16:20:53 2026 error -1 reading relation 400482758
  80. Thu Feb 12 16:20:55 2026 error -1 reading relation 401462754
  81. Thu Feb 12 16:21:07 2026 error -1 reading relation 405636332
  82. Thu Feb 12 16:21:07 2026 error -15 reading relation 405845773
  83. Thu Feb 12 16:21:37 2026 error -1 reading relation 416562627
  84. Thu Feb 12 16:21:37 2026 error -1 reading relation 416563534
  85. Thu Feb 12 16:21:44 2026 error -1 reading relation 419383580
  86. Thu Feb 12 16:21:59 2026 error -1 reading relation 424632306
  87. Thu Feb 12 16:22:00 2026 error -1 reading relation 424885318
  88. Thu Feb 12 16:22:08 2026 error -1 reading relation 427765383
  89. Thu Feb 12 16:22:08 2026 error -1 reading relation 427817674
  90. Thu Feb 12 16:22:14 2026 error -1 reading relation 429964484
  91. Thu Feb 12 16:22:14 2026 error -1 reading relation 430156483
  92. Thu Feb 12 16:22:15 2026 error -1 reading relation 430453501
  93. Thu Feb 12 16:22:15 2026 error -1 reading relation 430504261
  94. Thu Feb 12 16:22:16 2026 error -1 reading relation 430654031
  95. Thu Feb 12 16:22:16 2026 error -1 reading relation 430654216
  96. Thu Feb 12 16:22:16 2026 error -1 reading relation 430824586
  97. Thu Feb 12 16:22:17 2026 error -1 reading relation 431113564
  98. Thu Feb 12 16:22:19 2026 error -1 reading relation 431679236
  99. Thu Feb 12 16:22:22 2026 error -1 reading relation 432923303
  100. Thu Feb 12 16:22:22 2026 error -1 reading relation 432923341
  101. Thu Feb 12 16:22:24 2026 error -1 reading relation 433502114
  102. Thu Feb 12 16:22:24 2026 error -1 reading relation 433502552
  103. Thu Feb 12 16:22:27 2026 error -1 reading relation 434674636
  104. Thu Feb 12 16:22:32 2026 error -1 reading relation 436630600
  105. Thu Feb 12 16:23:20 2026 error -1 reading relation 454065192
  106. Thu Feb 12 16:23:52 2026 error -1 reading relation 465636953
  107. Thu Feb 12 16:24:19 2026 error -1 reading relation 475438713
  108. Thu Feb 12 16:24:56 2026 error -15 reading relation 488931816
  109. Thu Feb 12 16:24:59 2026 error -1 reading relation 490027668
  110. Thu Feb 12 16:25:23 2026 error -1 reading relation 497828516
  111. Thu Feb 12 16:25:27 2026 error -1 reading relation 499062012
  112. Thu Feb 12 16:25:31 2026 error -1 reading relation 500546884
  113. Thu Feb 12 16:26:13 2026 error -1 reading relation 515536038
  114. Thu Feb 12 16:26:15 2026 error -1 reading relation 516187498
  115. Thu Feb 12 16:26:16 2026 error -1 reading relation 516403360
  116. Thu Feb 12 16:26:17 2026 error -1 reading relation 516850062
  117. Thu Feb 12 16:26:38 2026 error -1 reading relation 524315478
  118. Thu Feb 12 16:26:53 2026 error -1 reading relation 529688277
  119. Thu Feb 12 16:26:53 2026 error -1 reading relation 529723994
  120. Thu Feb 12 16:26:54 2026 error -1 reading relation 530132676
  121. Thu Feb 12 16:26:58 2026 error -1 reading relation 531201915
  122. Thu Feb 12 16:27:04 2026 error -1 reading relation 533325271
  123. Thu Feb 12 16:27:12 2026 error -11 reading relation 536345334
  124. Thu Feb 12 16:27:16 2026 error -1 reading relation 537913197
  125. Thu Feb 12 16:27:51 2026 error -1 reading relation 550334624
  126. Thu Feb 12 16:27:57 2026 error -1 reading relation 552451716
  127. Thu Feb 12 16:28:09 2026 error -15 reading relation 556608833
  128. Thu Feb 12 16:28:09 2026 error -15 reading relation 556619211
  129. Thu Feb 12 16:28:09 2026 skipped 395 relations with b > 2^32
  130. Thu Feb 12 16:28:09 2026 skipped 10 relations with composite factors
  131. Thu Feb 12 16:28:09 2026 skipped 861 malformed relations
  132. Thu Feb 12 16:28:09 2026 found 128155648 hash collisions in 556850086 relations
  133. Thu Feb 12 16:28:14 2026 added 1828991 free relations
  134. Thu Feb 12 16:28:14 2026 commencing duplicate removal, pass 2
  135. Thu Feb 12 16:34:07 2026 found 144875690 duplicates and 413803387 unique relations
  136. Thu Feb 12 16:34:07 2026 memory use: 3411.0 MB
  137. Thu Feb 12 16:34:07 2026 reading ideals above 247791616
  138. Thu Feb 12 16:34:07 2026 commencing singleton removal, initial pass
  139. Thu Feb 12 16:56:35 2026 memory use: 11024.0 MB
  140. Thu Feb 12 16:56:36 2026 reading all ideals from disk
  141. Thu Feb 12 16:56:42 2026 memory use: 10583.3 MB
  142. Thu Feb 12 16:56:58 2026 commencing in-memory singleton removal
  143. Thu Feb 12 16:57:03 2026 begin with 413803387 relations and 350876033 unique ideals
  144. Thu Feb 12 16:57:54 2026 reduce to 256420698 relations and 178025787 ideals in 17 passes
  145. Thu Feb 12 16:57:54 2026 max relations containing the same ideal: 30
  146. Thu Feb 12 16:58:02 2026 reading ideals above 720000
  147. Thu Feb 12 16:58:02 2026 commencing singleton removal, initial pass
  148. Thu Feb 12 17:32:10 2026 memory use: 5512.0 MB
  149. Thu Feb 12 17:32:11 2026 reading all ideals from disk
  150. Thu Feb 12 17:32:27 2026 memory use: 12522.2 MB
  151. Thu Feb 12 17:32:52 2026 keeping 203843736 ideals with weight <= 200, target excess is 1312121
  152. Thu Feb 12 17:33:24 2026 commencing in-memory singleton removal
  153. Thu Feb 12 17:33:30 2026 begin with 256420698 relations and 203843736 unique ideals
  154. Thu Feb 12 17:34:00 2026 reduce to 256408546 relations and 203831583 ideals in 7 passes
  155. Thu Feb 12 17:34:00 2026 max relations containing the same ideal: 200
  156. Thu Feb 12 17:36:03 2026 removing 12317961 relations and 10317961 ideals in 2000000 cliques
  157. Thu Feb 12 17:36:09 2026 commencing in-memory singleton removal
  158. Thu Feb 12 17:36:15 2026 begin with 244090585 relations and 203831583 unique ideals
  159. Thu Feb 12 17:36:53 2026 reduce to 243653633 relations and 193071957 ideals in 8 passes
  160. Thu Feb 12 17:36:53 2026 max relations containing the same ideal: 200
  161. Thu Feb 12 17:38:50 2026 removing 9392757 relations and 7392757 ideals in 2000000 cliques
  162. Thu Feb 12 17:38:56 2026 commencing in-memory singleton removal
  163. Thu Feb 12 17:39:01 2026 begin with 234260876 relations and 193071957 unique ideals
  164. Thu Feb 12 17:39:31 2026 reduce to 233974445 relations and 185390228 ideals in 7 passes
  165. Thu Feb 12 17:39:31 2026 max relations containing the same ideal: 197
  166. Thu Feb 12 17:41:23 2026 removing 8469402 relations and 6469402 ideals in 2000000 cliques
  167. Thu Feb 12 17:41:31 2026 commencing in-memory singleton removal
  168. Thu Feb 12 17:41:36 2026 begin with 225505043 relations and 185390228 unique ideals
  169. Thu Feb 12 17:42:14 2026 reduce to 225257222 relations and 178670894 ideals in 7 passes
  170. Thu Feb 12 17:42:14 2026 max relations containing the same ideal: 192
  171. Thu Feb 12 17:44:42 2026 removing 7971479 relations and 5971479 ideals in 2000000 cliques
  172. Thu Feb 12 17:44:49 2026 commencing in-memory singleton removal
  173. Thu Feb 12 17:44:55 2026 begin with 217285743 relations and 178670894 unique ideals
  174. Thu Feb 12 17:45:26 2026 reduce to 217055810 relations and 172467467 ideals in 6 passes
  175. Thu Feb 12 17:45:26 2026 max relations containing the same ideal: 189
  176. Thu Feb 12 17:47:47 2026 removing 7639572 relations and 5639572 ideals in 2000000 cliques
  177. Thu Feb 12 17:47:54 2026 commencing in-memory singleton removal
  178. Thu Feb 12 17:47:59 2026 begin with 209416238 relations and 172467467 unique ideals
  179. Thu Feb 12 17:48:33 2026 reduce to 209198366 relations and 166608054 ideals in 7 passes
  180. Thu Feb 12 17:48:33 2026 max relations containing the same ideal: 184
  181. Thu Feb 12 17:50:50 2026 removing 7409439 relations and 5409439 ideals in 2000000 cliques
  182. Thu Feb 12 17:50:55 2026 commencing in-memory singleton removal
  183. Thu Feb 12 17:51:01 2026 begin with 201788927 relations and 166608054 unique ideals
  184. Thu Feb 12 17:51:30 2026 reduce to 201576613 relations and 160984247 ideals in 6 passes
  185. Thu Feb 12 17:51:30 2026 max relations containing the same ideal: 182
  186. Thu Feb 12 17:53:42 2026 removing 7240318 relations and 5240318 ideals in 2000000 cliques
  187. Thu Feb 12 17:53:48 2026 commencing in-memory singleton removal
  188. Thu Feb 12 17:53:53 2026 begin with 194336295 relations and 160984247 unique ideals
  189. Thu Feb 12 17:54:21 2026 reduce to 194126671 relations and 155532367 ideals in 6 passes
  190. Thu Feb 12 17:54:21 2026 max relations containing the same ideal: 178
  191. Thu Feb 12 17:56:32 2026 removing 7112103 relations and 5112103 ideals in 2000000 cliques
  192. Thu Feb 12 17:56:38 2026 commencing in-memory singleton removal
  193. Thu Feb 12 17:56:42 2026 begin with 187014568 relations and 155532367 unique ideals
  194. Thu Feb 12 17:57:09 2026 reduce to 186806786 relations and 150210449 ideals in 6 passes
  195. Thu Feb 12 17:57:09 2026 max relations containing the same ideal: 172
  196. Thu Feb 12 17:59:29 2026 removing 7015204 relations and 5015204 ideals in 2000000 cliques
  197. Thu Feb 12 17:59:35 2026 commencing in-memory singleton removal
  198. Thu Feb 12 17:59:40 2026 begin with 179791582 relations and 150210449 unique ideals
  199. Thu Feb 12 18:00:15 2026 reduce to 179582236 relations and 144983809 ideals in 8 passes
  200. Thu Feb 12 18:00:15 2026 max relations containing the same ideal: 169
  201. Thu Feb 12 18:02:34 2026 removing 6939257 relations and 4939257 ideals in 2000000 cliques
  202. Thu Feb 12 18:02:41 2026 commencing in-memory singleton removal
  203. Thu Feb 12 18:02:45 2026 begin with 172642979 relations and 144983809 unique ideals
  204. Thu Feb 12 18:03:14 2026 reduce to 172430642 relations and 139830055 ideals in 7 passes
  205. Thu Feb 12 18:03:14 2026 max relations containing the same ideal: 163
  206. Thu Feb 12 18:05:23 2026 removing 6879795 relations and 4879795 ideals in 2000000 cliques
  207. Thu Feb 12 18:05:29 2026 commencing in-memory singleton removal
  208. Thu Feb 12 18:05:33 2026 begin with 165550847 relations and 139830055 unique ideals
  209. Thu Feb 12 18:05:59 2026 reduce to 165333815 relations and 134730808 ideals in 6 passes
  210. Thu Feb 12 18:05:59 2026 max relations containing the same ideal: 159
  211. Thu Feb 12 18:08:10 2026 removing 6839086 relations and 4839086 ideals in 2000000 cliques
  212. Thu Feb 12 18:08:16 2026 commencing in-memory singleton removal
  213. Thu Feb 12 18:08:21 2026 begin with 158494729 relations and 134730808 unique ideals
  214. Thu Feb 12 18:08:49 2026 reduce to 158273349 relations and 129667814 ideals in 7 passes
  215. Thu Feb 12 18:08:49 2026 max relations containing the same ideal: 155
  216. Thu Feb 12 18:10:58 2026 removing 6807297 relations and 4807297 ideals in 2000000 cliques
  217. Thu Feb 12 18:11:03 2026 commencing in-memory singleton removal
  218. Thu Feb 12 18:11:07 2026 begin with 151466052 relations and 129667814 unique ideals
  219. Thu Feb 12 18:11:34 2026 reduce to 151237835 relations and 124629615 ideals in 6 passes
  220. Thu Feb 12 18:11:34 2026 max relations containing the same ideal: 150
  221. Thu Feb 12 18:13:36 2026 removing 6787573 relations and 4787573 ideals in 2000000 cliques
  222. Thu Feb 12 18:13:44 2026 commencing in-memory singleton removal
  223. Thu Feb 12 18:13:48 2026 begin with 144450262 relations and 124629615 unique ideals
  224. Thu Feb 12 18:14:11 2026 reduce to 144214250 relations and 119602976 ideals in 6 passes
  225. Thu Feb 12 18:14:11 2026 max relations containing the same ideal: 147
  226. Thu Feb 12 18:15:59 2026 removing 6777876 relations and 4777876 ideals in 2000000 cliques
  227. Thu Feb 12 18:16:04 2026 commencing in-memory singleton removal
  228. Thu Feb 12 18:16:07 2026 begin with 137436374 relations and 119602976 unique ideals
  229. Thu Feb 12 18:16:31 2026 reduce to 137190013 relations and 114575505 ideals in 7 passes
  230. Thu Feb 12 18:16:31 2026 max relations containing the same ideal: 143
  231. Thu Feb 12 18:18:19 2026 removing 6785393 relations and 4785393 ideals in 2000000 cliques
  232. Thu Feb 12 18:18:24 2026 commencing in-memory singleton removal
  233. Thu Feb 12 18:18:29 2026 begin with 130404620 relations and 114575505 unique ideals
  234. Thu Feb 12 18:18:52 2026 reduce to 130147512 relations and 109529463 ideals in 6 passes
  235. Thu Feb 12 18:18:52 2026 max relations containing the same ideal: 137
  236. Thu Feb 12 18:20:45 2026 removing 6796025 relations and 4796025 ideals in 2000000 cliques
  237. Thu Feb 12 18:20:51 2026 commencing in-memory singleton removal
  238. Thu Feb 12 18:20:54 2026 begin with 123351487 relations and 109529463 unique ideals
  239. Thu Feb 12 18:21:11 2026 reduce to 123079966 relations and 104458093 ideals in 6 passes
  240. Thu Feb 12 18:21:11 2026 max relations containing the same ideal: 132
  241. Thu Feb 12 18:22:45 2026 removing 6818780 relations and 4818780 ideals in 2000000 cliques
  242. Thu Feb 12 18:22:50 2026 commencing in-memory singleton removal
  243. Thu Feb 12 18:22:53 2026 begin with 116261186 relations and 104458093 unique ideals
  244. Thu Feb 12 18:23:10 2026 reduce to 115973498 relations and 99347267 ideals in 6 passes
  245. Thu Feb 12 18:23:10 2026 max relations containing the same ideal: 130
  246. Thu Feb 12 18:24:49 2026 removing 6858366 relations and 4858366 ideals in 2000000 cliques
  247. Thu Feb 12 18:24:53 2026 commencing in-memory singleton removal
  248. Thu Feb 12 18:24:56 2026 begin with 109115132 relations and 99347267 unique ideals
  249. Thu Feb 12 18:25:14 2026 reduce to 108808254 relations and 94177163 ideals in 7 passes
  250. Thu Feb 12 18:25:14 2026 max relations containing the same ideal: 125
  251. Thu Feb 12 18:26:31 2026 removing 6894200 relations and 4894200 ideals in 2000000 cliques
  252. Thu Feb 12 18:26:34 2026 commencing in-memory singleton removal
  253. Thu Feb 12 18:26:36 2026 begin with 101914054 relations and 94177163 unique ideals
  254. Thu Feb 12 18:26:51 2026 reduce to 101582025 relations and 88945474 ideals in 7 passes
  255. Thu Feb 12 18:26:51 2026 max relations containing the same ideal: 116
  256. Thu Feb 12 18:27:51 2026 removing 6955885 relations and 4955885 ideals in 2000000 cliques
  257. Thu Feb 12 18:27:54 2026 commencing in-memory singleton removal
  258. Thu Feb 12 18:27:56 2026 begin with 94626140 relations and 88945474 unique ideals
  259. Thu Feb 12 18:28:10 2026 reduce to 94263583 relations and 83620620 ideals in 7 passes
  260. Thu Feb 12 18:28:10 2026 max relations containing the same ideal: 109
  261. Thu Feb 12 18:29:05 2026 removing 7029283 relations and 5029283 ideals in 2000000 cliques
  262. Thu Feb 12 18:29:08 2026 commencing in-memory singleton removal
  263. Thu Feb 12 18:29:09 2026 begin with 87234300 relations and 83620620 unique ideals
  264. Thu Feb 12 18:29:22 2026 reduce to 86837134 relations and 78186789 ideals in 7 passes
  265. Thu Feb 12 18:29:22 2026 max relations containing the same ideal: 102
  266. Thu Feb 12 18:30:13 2026 removing 7125173 relations and 5125173 ideals in 2000000 cliques
  267. Thu Feb 12 18:30:16 2026 commencing in-memory singleton removal
  268. Thu Feb 12 18:30:18 2026 begin with 79711961 relations and 78186789 unique ideals
  269. Thu Feb 12 18:30:32 2026 reduce to 79267376 relations and 72608212 ideals in 8 passes
  270. Thu Feb 12 18:30:32 2026 max relations containing the same ideal: 97
  271. Thu Feb 12 18:31:17 2026 removing 7239039 relations and 5239039 ideals in 2000000 cliques
  272. Thu Feb 12 18:31:20 2026 commencing in-memory singleton removal
  273. Thu Feb 12 18:31:21 2026 begin with 72028337 relations and 72608212 unique ideals
  274. Thu Feb 12 18:31:33 2026 reduce to 71523266 relations and 66853300 ideals in 8 passes
  275. Thu Feb 12 18:31:33 2026 max relations containing the same ideal: 89
  276. Thu Feb 12 18:32:13 2026 removing 7376527 relations and 5376527 ideals in 2000000 cliques
  277. Thu Feb 12 18:32:15 2026 commencing in-memory singleton removal
  278. Thu Feb 12 18:32:17 2026 begin with 64146739 relations and 66853300 unique ideals
  279. Thu Feb 12 18:32:26 2026 reduce to 63555946 relations and 60872114 ideals in 8 passes
  280. Thu Feb 12 18:32:26 2026 max relations containing the same ideal: 84
  281. Thu Feb 12 18:33:03 2026 removing 4890327 relations and 3728556 ideals in 1161771 cliques
  282. Thu Feb 12 18:33:05 2026 commencing in-memory singleton removal
  283. Thu Feb 12 18:33:06 2026 begin with 58665619 relations and 60872114 unique ideals
  284. Thu Feb 12 18:33:15 2026 reduce to 58382876 relations and 56856369 ideals in 8 passes
  285. Thu Feb 12 18:33:15 2026 max relations containing the same ideal: 78
  286. Thu Feb 12 18:33:56 2026 relations with 0 large ideals: 63333
  287. Thu Feb 12 18:33:56 2026 relations with 1 large ideals: 57288
  288. Thu Feb 12 18:33:56 2026 relations with 2 large ideals: 411010
  289. Thu Feb 12 18:33:56 2026 relations with 3 large ideals: 2295483
  290. Thu Feb 12 18:33:56 2026 relations with 4 large ideals: 6996525
  291. Thu Feb 12 18:33:56 2026 relations with 5 large ideals: 12905715
  292. Thu Feb 12 18:33:56 2026 relations with 6 large ideals: 15139455
  293. Thu Feb 12 18:33:56 2026 relations with 7+ large ideals: 20514067
  294. Thu Feb 12 18:33:56 2026 commencing 2-way merge
  295. Thu Feb 12 18:34:43 2026 reduce to 36804687 relation sets and 35278180 unique ideals
  296. Thu Feb 12 18:34:44 2026 commencing full merge
  297. Thu Feb 12 18:50:47 2026 memory use: 4579.3 MB
  298. Thu Feb 12 18:50:55 2026 found 18286902 cycles, need 18084380
  299. Thu Feb 12 18:51:01 2026 weight of 18084380 cycles is about 1627995126 (90.02/cycle)
  300. Thu Feb 12 18:51:01 2026 distribution of cycle lengths:
  301. Thu Feb 12 18:51:01 2026 1 relations: 1775961
  302. Thu Feb 12 18:51:01 2026 2 relations: 1656186
  303. Thu Feb 12 18:51:01 2026 3 relations: 1654765
  304. Thu Feb 12 18:51:01 2026 4 relations: 1624402
  305. Thu Feb 12 18:51:01 2026 5 relations: 1608735
  306. Thu Feb 12 18:51:01 2026 6 relations: 1549477
  307. Thu Feb 12 18:51:01 2026 7 relations: 1452777
  308. Thu Feb 12 18:51:01 2026 8 relations: 1314394
  309. Thu Feb 12 18:51:01 2026 9 relations: 1156669
  310. Thu Feb 12 18:51:01 2026 10+ relations: 4291014
  311. Thu Feb 12 18:51:01 2026 heaviest cycle: 23 relations
  312. Thu Feb 12 18:51:10 2026 commencing cycle optimization
  313. Thu Feb 12 18:52:01 2026 start with 119117243 relations
  314. Thu Feb 12 18:56:44 2026 pruned 3638783 relations
  315. Thu Feb 12 18:56:47 2026 memory use: 3618.9 MB
  316. Thu Feb 12 18:56:47 2026 distribution of cycle lengths:
  317. Thu Feb 12 18:56:47 2026 1 relations: 1775961
  318. Thu Feb 12 18:56:47 2026 2 relations: 1686645
  319. Thu Feb 12 18:56:47 2026 3 relations: 1708420
  320. Thu Feb 12 18:56:47 2026 4 relations: 1674265
  321. Thu Feb 12 18:56:47 2026 5 relations: 1669588
  322. Thu Feb 12 18:56:47 2026 6 relations: 1600765
  323. Thu Feb 12 18:56:47 2026 7 relations: 1501555
  324. Thu Feb 12 18:56:47 2026 8 relations: 1347406
  325. Thu Feb 12 18:56:47 2026 9 relations: 1177859
  326. Thu Feb 12 18:56:47 2026 10+ relations: 3941916
  327. Thu Feb 12 18:56:47 2026 heaviest cycle: 23 relations
  328. Thu Feb 12 18:57:29 2026 RelProcTime: 10445
  329. Thu Feb 12 18:57:29 2026 elapsed time 02:54:06
  330. Thu Feb 12 18:57:29 2026
  331. Thu Feb 12 18:57:29 2026
  332. Thu Feb 12 18:57:29 2026 Msieve v. 1.54 (SVN Unversioned directory)
  333. Thu Feb 12 18:57:29 2026 random seeds: f6c47af0 48fa3888
  334. Thu Feb 12 18:57:29 2026 Using 8 OpenMP threads
  335. Thu Feb 12 18:57:29 2026 factoring 29615723765750812047470781470855403291990326042982423614917572684364835923395835770702582867321504844362392109363575692281698598207787214592484382070368525912869841428757915758043391071139409336722806117 (203 digits)
  336. Thu Feb 12 18:57:30 2026 searching for 15-digit factors
  337. Thu Feb 12 18:57:30 2026 commencing number field sieve (203-digit input)
  338. Thu Feb 12 18:57:30 2026 R0: 22505773504514793281951248322
  339. Thu Feb 12 18:57:30 2026 R1: -150019243780639
  340. Thu Feb 12 18:57:30 2026 A0: 1
  341. Thu Feb 12 18:57:30 2026 A1: -4
  342. Thu Feb 12 18:57:30 2026 A2: -10
  343. Thu Feb 12 18:57:30 2026 A3: 10
  344. Thu Feb 12 18:57:30 2026 A4: 15
  345. Thu Feb 12 18:57:30 2026 A5: -6
  346. Thu Feb 12 18:57:30 2026 A6: -7
  347. Thu Feb 12 18:57:30 2026 A7: 1
  348. Thu Feb 12 18:57:30 2026 A8: 1
  349. Thu Feb 12 18:57:30 2026 skew 1.27, size 1.324e-06, alpha 3.205, combined = 5.442e-14 rroots = 8
  350. Thu Feb 12 18:57:30 2026
  351. Thu Feb 12 18:57:30 2026 commencing linear algebra
  352. Thu Feb 12 18:57:30 2026 using VBITS=256
  353. Thu Feb 12 18:57:30 2026 stopping after matrix build
  354. Thu Feb 12 18:57:32 2026 read 18084380 cycles
  355. Thu Feb 12 18:58:05 2026 cycles contain 57465514 unique relations
  356. Thu Feb 12 19:07:38 2026 read 57465514 relations
  357. Thu Feb 12 19:08:04 2026 using 20 quadratic characters above 4294917295
  358. Thu Feb 12 19:08:37 2026 building initial matrix
  359. Thu Feb 12 19:20:51 2026 memory use: 6945.3 MB
  360. Thu Feb 12 19:21:01 2026 read 18084380 cycles
  361. Thu Feb 12 19:21:03 2026 matrix is 18084200 x 18084380 (6622.9 MB) with weight 1868876014 (103.34/col)
  362. Thu Feb 12 19:21:03 2026 sparse part has weight 1555300199 (86.00/col)
  363. Thu Feb 12 19:23:58 2026 filtering completed in 2 passes
  364. Thu Feb 12 19:24:03 2026 matrix is 18081159 x 18081329 (6622.6 MB) with weight 1868792718 (103.35/col)
  365. Thu Feb 12 19:24:03 2026 sparse part has weight 1555268161 (86.02/col)
  366. Thu Feb 12 19:24:46 2026 BLanczosTime: 1636
  367. Thu Feb 12 19:24:46 2026 elapsed time 00:27:17
  368. Thu Feb 12 20:27:59 2026
  369. Thu Feb 12 20:27:59 2026
  370. Thu Feb 12 20:27:59 2026 Msieve v. 1.54 (SVN unknown)
  371. Thu Feb 12 20:27:59 2026 random seeds: c8b56193 930311bd
  372. Thu Feb 12 20:27:59 2026 Using 4 OpenMP threads
  373. Thu Feb 12 20:27:59 2026 factoring 29615723765750812047470781470855403291990326042982423614917572684364835923395835770702582867321504844362392109363575692281698598207787214592484382070368525912869841428757915758043391071139409336722806117 (203 digits)
  374. Thu Feb 12 20:28:00 2026 no P-1/P+1/ECM available, skipping
  375. Thu Feb 12 20:28:00 2026 commencing number field sieve (203-digit input)
  376. Thu Feb 12 20:28:00 2026 R0: 22505773504514793281951248322
  377. Thu Feb 12 20:28:00 2026 R1: -150019243780639
  378. Thu Feb 12 20:28:00 2026 A0: 1
  379. Thu Feb 12 20:28:00 2026 A1: -4
  380. Thu Feb 12 20:28:00 2026 A2: -10
  381. Thu Feb 12 20:28:00 2026 A3: 10
  382. Thu Feb 12 20:28:00 2026 A4: 15
  383. Thu Feb 12 20:28:00 2026 A5: -6
  384. Thu Feb 12 20:28:00 2026 A6: -7
  385. Thu Feb 12 20:28:00 2026 A7: 1
  386. Thu Feb 12 20:28:00 2026 A8: 1
  387. Thu Feb 12 20:28:00 2026 skew 1.27, size 1.324e-06, alpha 3.205, combined = 5.442e-14 rroots = 8
  388. Thu Feb 12 20:28:00 2026
  389. Thu Feb 12 20:28:00 2026 commencing linear algebra
  390. Thu Feb 12 20:28:00 2026 using VBITS=256
  391. Thu Feb 12 20:28:00 2026 skipping matrix build
  392. Thu Feb 12 20:28:30 2026 matrix starts at (0, 0)
  393. Thu Feb 12 20:28:33 2026 matrix is 18081159 x 18081329 (6622.6 MB) with weight 1868792718 (103.35/col)
  394. Thu Feb 12 20:28:33 2026 sparse part has weight 1555268161 (86.02/col)
  395. Thu Feb 12 20:28:33 2026 saving the first 240 matrix rows for later
  396. Thu Feb 12 20:28:39 2026 matrix includes 256 packed rows
  397. Thu Feb 12 20:28:47 2026 matrix is 18080919 x 18081329 (6226.6 MB) with weight 1408725965 (77.91/col)
  398. Thu Feb 12 20:28:47 2026 sparse part has weight 1342960109 (74.27/col)
  399. Thu Feb 12 20:28:47 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  400. Thu Feb 12 20:28:47 2026 selected card has CUDA arch 12.0
  401. Thu Feb 12 20:41:12 2026 commencing Lanczos iteration
  402. Thu Feb 12 20:41:12 2026 memory use: 14798.3 MB
  403. Thu Feb 12 20:42:35 2026 linear algebra at 0.2%, ETA 13h 5m
  404. Thu Feb 12 20:44:34 2026 checking every 20000 dimensions, checkpointing every 1400000 dimensions
  405. Fri Feb 13 09:41:39 2026 lanczos halted after 70841 iterations (dim = 18080917)
  406. Fri Feb 13 09:44:55 2026 recovered 33 nontrivial dependencies
  407. Fri Feb 13 09:45:03 2026 BLanczosTime: 47823
  408. Fri Feb 13 09:45:03 2026 elapsed time 13:17:04
  409. Fri Feb 13 09:50:38 2026
  410. Fri Feb 13 09:50:38 2026
  411. Fri Feb 13 09:50:38 2026 Msieve v. 1.54 (SVN Unversioned directory)
  412. Fri Feb 13 09:50:38 2026 random seeds: 0f0397a6 92ab0c8e
  413. Fri Feb 13 09:50:38 2026 Using 8 OpenMP threads
  414. Fri Feb 13 09:50:38 2026 factoring 29615723765750812047470781470855403291990326042982423614917572684364835923395835770702582867321504844362392109363575692281698598207787214592484382070368525912869841428757915758043391071139409336722806117 (203 digits)
  415. Fri Feb 13 09:50:39 2026 searching for 15-digit factors
  416. Fri Feb 13 09:50:39 2026 commencing number field sieve (203-digit input)
  417. Fri Feb 13 09:50:39 2026 R0: 22505773504514793281951248322
  418. Fri Feb 13 09:50:39 2026 R1: -150019243780639
  419. Fri Feb 13 09:50:39 2026 A0: 1
  420. Fri Feb 13 09:50:39 2026 A1: -4
  421. Fri Feb 13 09:50:39 2026 A2: -10
  422. Fri Feb 13 09:50:39 2026 A3: 10
  423. Fri Feb 13 09:50:39 2026 A4: 15
  424. Fri Feb 13 09:50:39 2026 A5: -6
  425. Fri Feb 13 09:50:39 2026 A6: -7
  426. Fri Feb 13 09:50:39 2026 A7: 1
  427. Fri Feb 13 09:50:39 2026 A8: 1
  428. Fri Feb 13 09:50:39 2026 skew 1.27, size 1.324e-06, alpha 3.205, combined = 5.442e-14 rroots = 8
  429. Fri Feb 13 09:50:39 2026
  430. Fri Feb 13 09:50:39 2026 commencing square root phase
  431. Fri Feb 13 09:50:39 2026 reading relations for dependency 1
  432. Fri Feb 13 09:50:47 2026 read 9038579 cycles
  433. Fri Feb 13 09:51:10 2026 cycles contain 28726742 unique relations
  434. Fri Feb 13 10:10:34 2026 read 28726742 relations
  435. Fri Feb 13 10:12:39 2026 multiplying 28726742 relations
  436. Fri Feb 13 10:15:59 2026 multiply complete, coefficients have about 732.88 million bits
  437. Fri Feb 13 10:16:02 2026 initial square root is modulo 3758999
  438. Fri Feb 13 10:22:43 2026 GCD is 1, no factor found
  439. Fri Feb 13 10:22:43 2026 reading relations for dependency 2
  440. Fri Feb 13 10:22:46 2026 read 9037470 cycles
  441. Fri Feb 13 10:23:00 2026 cycles contain 28721372 unique relations
  442. Fri Feb 13 10:25:16 2026 read 28721372 relations
  443. Fri Feb 13 10:26:54 2026 multiplying 28721372 relations
  444. Fri Feb 13 10:29:34 2026 multiply complete, coefficients have about 732.76 million bits
  445. Fri Feb 13 10:29:36 2026 initial square root is modulo 3749377
  446. Fri Feb 13 10:33:39 2026 sqrtTime: 2580
  447. Fri Feb 13 10:33:39 2026 p70 factor: 9304523623587666880003532166242900801822761742385306703900790719203511
  448. Fri Feb 13 10:33:39 2026 p133 factor: 3182938209826532747409845010511103219023149822086222725259963345818592752508854128394485571994490823293497727766622927119808684990147
  449. Fri Feb 13 10:33:39 2026 elapsed time 00:43:01
  450.  
Tags: math
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