kyleaskine

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May 13th, 2026
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  1. Mon May 11 06:09:48 2026
  2. Mon May 11 06:09:48 2026
  3. Mon May 11 06:09:48 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon May 11 06:09:48 2026 random seeds: ceabd971 c09a7058
  5. Mon May 11 06:09:48 2026 Using 14 OpenMP threads
  6. Mon May 11 06:09:48 2026 factoring 531638996128731892773930112854135770527923352148708725852133334339824219854666564309359722310338356244557710038785388429958235498997237853720798276000401355939907145674135262962086389341104694013596874857106986102341242609301294371925375691648036496012067851116168566877 (270 digits)
  7. Mon May 11 06:09:49 2026 no P-1/P+1/ECM available, skipping
  8. Mon May 11 06:09:49 2026 commencing number field sieve (270-digit input)
  9. Mon May 11 06:09:49 2026 R0: 1
  10. Mon May 11 06:09:49 2026 R1: -900043590835720627746651124794301028277324811
  11. Mon May 11 06:09:49 2026 A0: -12211
  12. Mon May 11 06:09:49 2026 A1: 0
  13. Mon May 11 06:09:49 2026 A2: 0
  14. Mon May 11 06:09:49 2026 A3: 0
  15. Mon May 11 06:09:49 2026 A4: 0
  16. Mon May 11 06:09:49 2026 A5: 0
  17. Mon May 11 06:09:49 2026 A6: 1
  18. Mon May 11 06:09:49 2026 skew 3.70, size 9.311e-14, alpha 1.198, combined = 2.007e-14 rroots = 2
  19. Mon May 11 06:09:49 2026
  20. Mon May 11 06:09:49 2026 commencing relation filtering
  21. Mon May 11 06:09:49 2026 setting 3 target densities:Mon May 11 06:09:49 2026 80Mon May 11 06:09:49 2026 100Mon May 11 06:09:49 2026 120Mon May 11 06:09:49 2026
  22. Mon May 11 06:09:49 2026 estimated available RAM is 78540.1 MB
  23. Mon May 11 06:09:49 2026 commencing duplicate removal, pass 1
  24. Mon May 11 06:10:19 2026 error -5 reading relation 33735889
  25. Mon May 11 06:10:20 2026 error -1 reading relation 35570152
  26. Mon May 11 06:11:22 2026 error -1 reading relation 73143991
  27. Mon May 11 06:11:24 2026 error -1 reading relation 74384840
  28. Mon May 11 06:12:35 2026 error -1 reading relation 112585872
  29. Mon May 11 06:12:51 2026 error -1 reading relation 120254945
  30. Mon May 11 06:13:04 2026 error -1 reading relation 128018054
  31. Mon May 11 06:13:20 2026 error -1 reading relation 135981924
  32. Mon May 11 06:13:23 2026 error -1 reading relation 137565298
  33. Mon May 11 06:13:24 2026 error -1 reading relation 137779900
  34. Mon May 11 06:13:25 2026 error -1 reading relation 138280316
  35. Mon May 11 06:13:47 2026 error -1 reading relation 151012557
  36. Mon May 11 06:13:51 2026 error -1 reading relation 152681657
  37. Mon May 11 06:13:54 2026 error -1 reading relation 154162637
  38. Mon May 11 06:13:59 2026 error -1 reading relation 158151754
  39. Mon May 11 06:14:03 2026 error -1 reading relation 159851063
  40. Mon May 11 06:15:26 2026 error -1 reading relation 202431705
  41. Mon May 11 06:15:28 2026 error -1 reading relation 203433247
  42. Mon May 11 06:15:31 2026 error -1 reading relation 206051493
  43. Mon May 11 06:15:54 2026 error -1 reading relation 217959464
  44. Mon May 11 06:15:56 2026 error -1 reading relation 218851409
  45. Mon May 11 06:16:00 2026 error -1 reading relation 221765847
  46. Mon May 11 06:16:03 2026 error -1 reading relation 223508251
  47. Mon May 11 06:16:05 2026 error -1 reading relation 224567302
  48. Mon May 11 06:16:08 2026 error -1 reading relation 225679686
  49. Mon May 11 06:16:13 2026 error -1 reading relation 228263244
  50. Mon May 11 06:16:28 2026 error -1 reading relation 235541803
  51. Mon May 11 06:16:29 2026 error -15 reading relation 236041235
  52. Mon May 11 06:16:28 2026 error -1 reading relation 236889843
  53. Mon May 11 06:16:46 2026 error -1 reading relation 246059683
  54. Mon May 11 06:17:33 2026 error -1 reading relation 271655857
  55. Mon May 11 06:17:48 2026 error -1 reading relation 279549469
  56. Mon May 11 06:18:30 2026 error -1 reading relation 302179382
  57. Mon May 11 06:18:59 2026 error -1 reading relation 316702551
  58. Mon May 11 06:19:02 2026 error -1 reading relation 319587329
  59. Mon May 11 06:19:06 2026 error -1 reading relation 321499163
  60. Mon May 11 06:19:33 2026 error -1 reading relation 336211425
  61. Mon May 11 06:19:59 2026 error -1 reading relation 349918721
  62. Mon May 11 06:20:01 2026 error -1 reading relation 351092103
  63. Mon May 11 06:20:07 2026 error -1 reading relation 353498872
  64. Mon May 11 06:20:16 2026 error -15 reading relation 357547112
  65. Mon May 11 06:20:20 2026 error -1 reading relation 359331712
  66. Mon May 11 06:20:22 2026 error -1 reading relation 360350440
  67. Mon May 11 06:20:22 2026 error -1 reading relation 360416127
  68. Mon May 11 06:20:22 2026 error -1 reading relation 360682501
  69. Mon May 11 06:20:24 2026 error -1 reading relation 361405228
  70. Mon May 11 06:20:32 2026 error -1 reading relation 366747971
  71. Mon May 11 06:21:07 2026 error -1 reading relation 384665043
  72. Mon May 11 06:21:18 2026 error -1 reading relation 390109889
  73. Mon May 11 06:21:23 2026 error -1 reading relation 392788588
  74. Mon May 11 06:21:26 2026 error -1 reading relation 394562080
  75. Mon May 11 06:21:29 2026 error -11 reading relation 397136613
  76. Mon May 11 06:21:38 2026 error -1 reading relation 400988011
  77. Mon May 11 06:21:45 2026 error -1 reading relation 404038584
  78. Mon May 11 06:21:55 2026 error -5 reading relation 408297276
  79. Mon May 11 06:21:59 2026 error -1 reading relation 411338562
  80. Mon May 11 06:22:02 2026 error -1 reading relation 412916382
  81. Mon May 11 06:22:07 2026 error -1 reading relation 415405922
  82. Mon May 11 06:22:08 2026 error -1 reading relation 415834466
  83. Mon May 11 06:22:18 2026 error -1 reading relation 420832016
  84. Mon May 11 06:22:19 2026 error -1 reading relation 421644752
  85. Mon May 11 06:22:25 2026 error -1 reading relation 424579602
  86. Mon May 11 06:22:48 2026 error -1 reading relation 437093157
  87. Mon May 11 06:22:56 2026 error -1 reading relation 442358378
  88. Mon May 11 06:23:03 2026 error -1 reading relation 445754703
  89. Mon May 11 06:23:05 2026 error -1 reading relation 446659366
  90. Mon May 11 06:23:08 2026 error -1 reading relation 448163847
  91. Mon May 11 06:23:14 2026 error -1 reading relation 451250602
  92. Mon May 11 06:23:17 2026 error -1 reading relation 452448451
  93. Mon May 11 06:23:26 2026 error -1 reading relation 457275976
  94. Mon May 11 06:23:27 2026 error -1 reading relation 457774337
  95. Mon May 11 06:23:25 2026 error -1 reading relation 458133696
  96. Mon May 11 06:23:27 2026 error -1 reading relation 458920354
  97. Mon May 11 06:23:28 2026 error -1 reading relation 459443342
  98. Mon May 11 06:23:34 2026 error -1 reading relation 461950256
  99. Mon May 11 06:24:07 2026 error -1 reading relation 479316231
  100. Mon May 11 06:25:21 2026 error -1 reading relation 517220078
  101. Mon May 11 06:26:16 2026 error -1 reading relation 543603211
  102. Mon May 11 06:26:22 2026 error -1 reading relation 546280181
  103. Mon May 11 06:26:40 2026 error -1 reading relation 554908613
  104. Mon May 11 06:26:54 2026 error -1 reading relation 561400946
  105. Mon May 11 06:27:44 2026 error -1 reading relation 587061496
  106. Mon May 11 06:27:54 2026 error -15 reading relation 591804296
  107. Mon May 11 06:28:22 2026 error -1 reading relation 605580972
  108. Mon May 11 06:28:24 2026 error -1 reading relation 606632822
  109. Mon May 11 06:29:22 2026 error -1 reading relation 635561605
  110. Mon May 11 06:29:23 2026 error -1 reading relation 636191309
  111. Mon May 11 06:29:24 2026 error -1 reading relation 636784856
  112. Mon May 11 06:29:33 2026 error -1 reading relation 642222126
  113. Mon May 11 06:29:56 2026 error -1 reading relation 654536283
  114. Mon May 11 06:30:08 2026 error -1 reading relation 659556819
  115. Mon May 11 06:30:25 2026 error -1 reading relation 665752293
  116. Mon May 11 06:31:15 2026 error -1 reading relation 683923639
  117. Mon May 11 06:31:41 2026 error -1 reading relation 695928272
  118. Mon May 11 06:31:41 2026 error -1 reading relation 696233436
  119. Mon May 11 06:32:08 2026 error -1 reading relation 708846158
  120. Mon May 11 06:32:22 2026 error -1 reading relation 714979485
  121. Mon May 11 06:32:27 2026 error -1 reading relation 717931492
  122. Mon May 11 06:32:38 2026 error -1 reading relation 722762324
  123. Mon May 11 06:32:49 2026 error -1 reading relation 727590751
  124. Mon May 11 06:32:55 2026 error -1 reading relation 730909813
  125. Mon May 11 06:32:59 2026 error -1 reading relation 732493715
  126. Mon May 11 06:33:02 2026 error -1 reading relation 733780143
  127. Mon May 11 06:33:21 2026 error -1 reading relation 741844439
  128. Mon May 11 06:33:32 2026 error -1 reading relation 747974887
  129. Mon May 11 06:33:46 2026 error -1 reading relation 754016048
  130. Mon May 11 06:33:52 2026 error -1 reading relation 756913380
  131. Mon May 11 06:34:09 2026 error -1 reading relation 764537984
  132. Mon May 11 06:34:13 2026 error -1 reading relation 765864237
  133. Mon May 11 06:34:38 2026 error -1 reading relation 777754701
  134. Mon May 11 06:35:27 2026 error -1 reading relation 799349438
  135. Mon May 11 06:35:35 2026 error -1 reading relation 802578637
  136. Mon May 11 06:35:35 2026 error -1 reading relation 802583004
  137. Mon May 11 06:35:57 2026 error -1 reading relation 811885317
  138. Mon May 11 06:35:58 2026 error -1 reading relation 812446546
  139. Mon May 11 06:36:15 2026 error -1 reading relation 819855576
  140. Mon May 11 06:36:23 2026 error -1 reading relation 824186738
  141. Mon May 11 06:36:32 2026 error -1 reading relation 828524135
  142. Mon May 11 06:36:44 2026 error -1 reading relation 834144570
  143. Mon May 11 06:36:49 2026 error -1 reading relation 836620199
  144. Mon May 11 06:36:49 2026 error -1 reading relation 838003904
  145. Mon May 11 06:37:13 2026 error -1 reading relation 850505676
  146. Mon May 11 06:37:19 2026 error -1 reading relation 855583693
  147. Mon May 11 06:37:25 2026 error -1 reading relation 858521103
  148. Mon May 11 06:37:35 2026 error -1 reading relation 864375502
  149. Mon May 11 06:37:49 2026 error -1 reading relation 873063608
  150. Mon May 11 06:37:50 2026 error -1 reading relation 875035600
  151. Mon May 11 06:37:51 2026 error -1 reading relation 875659114
  152. Mon May 11 06:37:59 2026 error -1 reading relation 880671194
  153. Mon May 11 06:38:03 2026 error -1 reading relation 883090710
  154. Mon May 11 06:38:06 2026 error -1 reading relation 884740468
  155. Mon May 11 06:38:06 2026 error -1 reading relation 884945647
  156. Mon May 11 06:38:20 2026 error -1 reading relation 895512829
  157. Mon May 11 06:38:24 2026 error -1 reading relation 899002072
  158. Mon May 11 06:38:24 2026 error -1 reading relation 899221438
  159. Mon May 11 06:38:33 2026 error -1 reading relation 907431668
  160. Mon May 11 06:38:35 2026 error -1 reading relation 909394217
  161. Mon May 11 06:38:36 2026 error -1 reading relation 910311368
  162. Mon May 11 06:38:38 2026 error -1 reading relation 913054426
  163. Mon May 11 06:38:39 2026 error -1 reading relation 913918889
  164. Mon May 11 06:38:42 2026 error -1 reading relation 917815443
  165. Mon May 11 06:38:46 2026 error -1 reading relation 921044555
  166. Mon May 11 06:38:47 2026 error -1 reading relation 922193773
  167. Mon May 11 06:38:48 2026 error -1 reading relation 923603560
  168. Mon May 11 06:38:50 2026 error -1 reading relation 928141574
  169. Mon May 11 06:38:57 2026 error -1 reading relation 935470763
  170. Mon May 11 06:39:02 2026 error -1 reading relation 940492440
  171. Mon May 11 06:39:02 2026 skipped 429 relations with b > 2^32
  172. Mon May 11 06:39:02 2026 skipped 3 relations with composite factors
  173. Mon May 11 06:39:02 2026 skipped 1575 malformed relations
  174. Mon May 11 06:39:02 2026 found 278365192 hash collisions in 940523079 relations
  175. Mon May 11 06:39:09 2026 added 1219418 free relations
  176. Mon May 11 06:39:09 2026 commencing duplicate removal, pass 2
  177. Mon May 11 06:47:46 2026 found 357964492 duplicates and 583778005 unique relations
  178. Mon May 11 06:47:46 2026 memory use: 5798.0 MB
  179. Mon May 11 06:47:47 2026 reading ideals above 395247616
  180. Mon May 11 06:47:47 2026 commencing singleton removal, initial pass
  181. Mon May 11 07:13:51 2026 memory use: 11024.0 MB
  182. Mon May 11 07:13:51 2026 reading all ideals from disk
  183. Mon May 11 07:14:00 2026 memory use: 15015.3 MB
  184. Mon May 11 07:14:19 2026 commencing in-memory singleton removal
  185. Mon May 11 07:14:24 2026 begin with 583778005 relations and 560258699 unique ideals
  186. Mon May 11 07:15:09 2026 reduce to 284195814 relations and 219371115 ideals in 23 passes
  187. Mon May 11 07:15:09 2026 max relations containing the same ideal: 23
  188. Mon May 11 07:15:16 2026 reading ideals above 720000
  189. Mon May 11 07:15:17 2026 commencing singleton removal, initial pass
  190. Mon May 11 07:37:08 2026 memory use: 6024.0 MB
  191. Mon May 11 07:37:08 2026 reading all ideals from disk
  192. Mon May 11 07:37:16 2026 memory use: 14261.8 MB
  193. Mon May 11 07:37:35 2026 keeping 260056197 ideals with weight <= 200, target excess is 1498410
  194. Mon May 11 07:38:05 2026 commencing in-memory singleton removal
  195. Mon May 11 07:38:07 2026 begin with 284195814 relations and 260056197 unique ideals
  196. Mon May 11 07:38:50 2026 reduce to 284030872 relations and 259891250 ideals in 13 passes
  197. Mon May 11 07:38:50 2026 max relations containing the same ideal: 200
  198. Mon May 11 07:40:41 2026 removing 20368811 relations and 18368811 ideals in 2000000 cliques
  199. Mon May 11 07:40:47 2026 commencing in-memory singleton removal
  200. Mon May 11 07:40:52 2026 begin with 263662061 relations and 259891250 unique ideals
  201. Mon May 11 07:41:27 2026 reduce to 262381286 relations and 240228095 ideals in 12 passes
  202. Mon May 11 07:41:27 2026 max relations containing the same ideal: 198
  203. Mon May 11 07:43:10 2026 removing 15034418 relations and 13034418 ideals in 2000000 cliques
  204. Mon May 11 07:43:16 2026 commencing in-memory singleton removal
  205. Mon May 11 07:43:20 2026 begin with 247346868 relations and 240228095 unique ideals
  206. Mon May 11 07:43:48 2026 reduce to 246569702 relations and 226409518 ideals in 10 passes
  207. Mon May 11 07:43:48 2026 max relations containing the same ideal: 194
  208. Mon May 11 07:45:31 2026 removing 13360990 relations and 11360990 ideals in 2000000 cliques
  209. Mon May 11 07:45:37 2026 commencing in-memory singleton removal
  210. Mon May 11 07:45:41 2026 begin with 233208712 relations and 226409518 unique ideals
  211. Mon May 11 07:46:12 2026 reduce to 232553632 relations and 214387743 ideals in 11 passes
  212. Mon May 11 07:46:12 2026 max relations containing the same ideal: 186
  213. Mon May 11 07:47:46 2026 removing 12467009 relations and 10467009 ideals in 2000000 cliques
  214. Mon May 11 07:47:51 2026 commencing in-memory singleton removal
  215. Mon May 11 07:47:55 2026 begin with 220086623 relations and 214387743 unique ideals
  216. Mon May 11 07:48:21 2026 reduce to 219482382 relations and 203311297 ideals in 11 passes
  217. Mon May 11 07:48:21 2026 max relations containing the same ideal: 179
  218. Mon May 11 07:49:46 2026 removing 11904150 relations and 9904150 ideals in 2000000 cliques
  219. Mon May 11 07:49:51 2026 commencing in-memory singleton removal
  220. Mon May 11 07:49:55 2026 begin with 207578232 relations and 203311297 unique ideals
  221. Mon May 11 07:50:15 2026 reduce to 206991537 relations and 192815371 ideals in 9 passes
  222. Mon May 11 07:50:15 2026 max relations containing the same ideal: 173
  223. Mon May 11 07:51:29 2026 removing 11526503 relations and 9526503 ideals in 2000000 cliques
  224. Mon May 11 07:51:34 2026 commencing in-memory singleton removal
  225. Mon May 11 07:51:38 2026 begin with 195465034 relations and 192815371 unique ideals
  226. Mon May 11 07:51:57 2026 reduce to 194882454 relations and 182700926 ideals in 8 passes
  227. Mon May 11 07:51:57 2026 max relations containing the same ideal: 165
  228. Mon May 11 07:53:08 2026 removing 11271775 relations and 9271775 ideals in 2000000 cliques
  229. Mon May 11 07:53:12 2026 commencing in-memory singleton removal
  230. Mon May 11 07:53:15 2026 begin with 183610679 relations and 182700926 unique ideals
  231. Mon May 11 07:53:32 2026 reduce to 183019912 relations and 172832660 ideals in 9 passes
  232. Mon May 11 07:53:32 2026 max relations containing the same ideal: 159
  233. Mon May 11 07:54:39 2026 removing 11092189 relations and 9092189 ideals in 2000000 cliques
  234. Mon May 11 07:54:43 2026 commencing in-memory singleton removal
  235. Mon May 11 07:54:46 2026 begin with 171927723 relations and 172832660 unique ideals
  236. Mon May 11 07:54:59 2026 reduce to 171315856 relations and 163122433 ideals in 8 passes
  237. Mon May 11 07:54:59 2026 max relations containing the same ideal: 153
  238. Mon May 11 07:56:04 2026 removing 10986247 relations and 8986247 ideals in 2000000 cliques
  239. Mon May 11 07:56:08 2026 commencing in-memory singleton removal
  240. Mon May 11 07:56:10 2026 begin with 160329609 relations and 163122433 unique ideals
  241. Mon May 11 07:56:27 2026 reduce to 159684933 relations and 153484705 ideals in 9 passes
  242. Mon May 11 07:56:27 2026 max relations containing the same ideal: 146
  243. Mon May 11 07:57:26 2026 removing 10948435 relations and 8948435 ideals in 2000000 cliques
  244. Mon May 11 07:57:27 2026 commencing in-memory singleton removal
  245. Mon May 11 07:57:29 2026 begin with 148736498 relations and 153484705 unique ideals
  246. Mon May 11 07:57:45 2026 reduce to 148042288 relations and 143834208 ideals in 9 passes
  247. Mon May 11 07:57:45 2026 max relations containing the same ideal: 140
  248. Mon May 11 07:58:40 2026 removing 10959584 relations and 8959584 ideals in 2000000 cliques
  249. Mon May 11 07:58:44 2026 commencing in-memory singleton removal
  250. Mon May 11 07:58:46 2026 begin with 137082704 relations and 143834208 unique ideals
  251. Mon May 11 07:58:59 2026 reduce to 136327789 relations and 134110670 ideals in 10 passes
  252. Mon May 11 07:58:59 2026 max relations containing the same ideal: 129
  253. Mon May 11 07:59:53 2026 removing 3500655 relations and 3021692 ideals in 478963 cliques
  254. Mon May 11 07:59:56 2026 commencing in-memory singleton removal
  255. Mon May 11 07:59:55 2026 begin with 132827134 relations and 134110670 unique ideals
  256. Mon May 11 08:00:08 2026 reduce to 132751638 relations and 131013230 ideals in 8 passes
  257. Mon May 11 08:00:08 2026 max relations containing the same ideal: 126
  258. Mon May 11 08:01:00 2026 trying target density 80
  259. Mon May 11 08:01:13 2026 relations with 0 large ideals: 57206
  260. Mon May 11 08:01:13 2026 relations with 1 large ideals: 19774
  261. Mon May 11 08:01:13 2026 relations with 2 large ideals: 308286
  262. Mon May 11 08:01:13 2026 relations with 3 large ideals: 2264685
  263. Mon May 11 08:01:13 2026 relations with 4 large ideals: 9185423
  264. Mon May 11 08:01:13 2026 relations with 5 large ideals: 22441702
  265. Mon May 11 08:01:13 2026 relations with 6 large ideals: 34315972
  266. Mon May 11 08:01:13 2026 relations with 7+ large ideals: 64158590
  267. Mon May 11 08:01:13 2026 commencing 2-way merge
  268. Mon May 11 08:02:47 2026 reduce to 78315882 relation sets and 76577474 unique ideals
  269. Mon May 11 08:02:47 2026 commencing full merge
  270. Mon May 11 08:20:31 2026 memory use: 8790.6 MB
  271. Mon May 11 08:20:43 2026 found 40263057 cycles, need 40027674
  272. Mon May 11 08:20:55 2026 weight of 40027674 cycles is about 3202247872 (80.00/cycle)
  273. Mon May 11 08:20:55 2026 distribution of cycle lengths:
  274. Mon May 11 08:20:55 2026 1 relations: 5101334
  275. Mon May 11 08:20:55 2026 2 relations: 4615781
  276. Mon May 11 08:20:55 2026 3 relations: 4593343
  277. Mon May 11 08:20:55 2026 4 relations: 4214194
  278. Mon May 11 08:20:55 2026 5 relations: 3700471
  279. Mon May 11 08:20:55 2026 6 relations: 3349991
  280. Mon May 11 08:20:55 2026 7 relations: 2936613
  281. Mon May 11 08:20:55 2026 8 relations: 2516106
  282. Mon May 11 08:20:55 2026 9 relations: 2121600
  283. Mon May 11 08:20:55 2026 10+ relations: 6878241
  284. Mon May 11 08:20:55 2026 heaviest cycle: 22 relations
  285. Mon May 11 08:21:04 2026 commencing cycle optimization
  286. Mon May 11 08:22:11 2026 start with 227454575 relations
  287. Mon May 11 08:26:57 2026 pruned 4192091 relations
  288. Mon May 11 08:27:00 2026 memory use: 7756.1 MB
  289. Mon May 11 08:27:00 2026 distribution of cycle lengths:
  290. Mon May 11 08:27:00 2026 1 relations: 5101334
  291. Mon May 11 08:27:00 2026 2 relations: 4705650
  292. Mon May 11 08:27:00 2026 3 relations: 4726919
  293. Mon May 11 08:27:00 2026 4 relations: 4286213
  294. Mon May 11 08:27:00 2026 5 relations: 3770567
  295. Mon May 11 08:27:00 2026 6 relations: 3379745
  296. Mon May 11 08:27:00 2026 7 relations: 2951944
  297. Mon May 11 08:27:00 2026 8 relations: 2511237
  298. Mon May 11 08:27:00 2026 9 relations: 2105976
  299. Mon May 11 08:27:00 2026 10+ relations: 6488089
  300. Mon May 11 08:27:00 2026 heaviest cycle: 22 relations
  301. Mon May 11 08:28:08 2026 trying target density 100
  302. Mon May 11 08:28:22 2026 relations with 0 large ideals: 57206
  303. Mon May 11 08:28:22 2026 relations with 1 large ideals: 19774
  304. Mon May 11 08:28:22 2026 relations with 2 large ideals: 308286
  305. Mon May 11 08:28:22 2026 relations with 3 large ideals: 2264685
  306. Mon May 11 08:28:22 2026 relations with 4 large ideals: 9185423
  307. Mon May 11 08:28:22 2026 relations with 5 large ideals: 22441702
  308. Mon May 11 08:28:22 2026 relations with 6 large ideals: 34315972
  309. Mon May 11 08:28:22 2026 relations with 7+ large ideals: 64158590
  310. Mon May 11 08:28:22 2026 commencing 2-way merge
  311. Mon May 11 08:29:37 2026 reduce to 78315882 relation sets and 76577474 unique ideals
  312. Mon May 11 08:29:37 2026 commencing full merge
  313. Mon May 11 08:53:32 2026 memory use: 8999.1 MB
  314. Mon May 11 08:53:44 2026 found 36726715 cycles, need 36537674
  315. Mon May 11 08:53:52 2026 weight of 36537674 cycles is about 3653994537 (100.01/cycle)
  316. Mon May 11 08:53:52 2026 distribution of cycle lengths:
  317. Mon May 11 08:53:52 2026 1 relations: 3799248
  318. Mon May 11 08:53:52 2026 2 relations: 3333090
  319. Mon May 11 08:53:52 2026 3 relations: 3304101
  320. Mon May 11 08:53:52 2026 4 relations: 3171970
  321. Mon May 11 08:53:52 2026 5 relations: 2939632
  322. Mon May 11 08:53:52 2026 6 relations: 2749431
  323. Mon May 11 08:53:52 2026 7 relations: 2477272
  324. Mon May 11 08:53:52 2026 8 relations: 2261123
  325. Mon May 11 08:53:52 2026 9 relations: 2049249
  326. Mon May 11 08:53:52 2026 10+ relations: 10452558
  327. Mon May 11 08:53:52 2026 heaviest cycle: 28 relations
  328. Mon May 11 08:54:02 2026 commencing cycle optimization
  329. Mon May 11 08:55:08 2026 start with 260436446 relations
  330. Mon May 11 09:02:14 2026 pruned 6548669 relations
  331. Mon May 11 09:02:18 2026 memory use: 8093.2 MB
  332. Mon May 11 09:02:18 2026 distribution of cycle lengths:
  333. Mon May 11 09:02:18 2026 1 relations: 3799248
  334. Mon May 11 09:02:18 2026 2 relations: 3405165
  335. Mon May 11 09:02:18 2026 3 relations: 3415188
  336. Mon May 11 09:02:18 2026 4 relations: 3249640
  337. Mon May 11 09:02:18 2026 5 relations: 3022176
  338. Mon May 11 09:02:18 2026 6 relations: 2801689
  339. Mon May 11 09:02:18 2026 7 relations: 2524838
  340. Mon May 11 09:02:18 2026 8 relations: 2289916
  341. Mon May 11 09:02:18 2026 9 relations: 2068306
  342. Mon May 11 09:02:18 2026 10+ relations: 9961508
  343. Mon May 11 09:02:18 2026 heaviest cycle: 28 relations
  344. Mon May 11 09:03:20 2026 trying target density 120
  345. Mon May 11 09:03:32 2026 relations with 0 large ideals: 57206
  346. Mon May 11 09:03:32 2026 relations with 1 large ideals: 19774
  347. Mon May 11 09:03:32 2026 relations with 2 large ideals: 308286
  348. Mon May 11 09:03:32 2026 relations with 3 large ideals: 2264685
  349. Mon May 11 09:03:32 2026 relations with 4 large ideals: 9185423
  350. Mon May 11 09:03:32 2026 relations with 5 large ideals: 22441702
  351. Mon May 11 09:03:32 2026 relations with 6 large ideals: 34315972
  352. Mon May 11 09:03:32 2026 relations with 7+ large ideals: 64158590
  353. Mon May 11 09:03:32 2026 commencing 2-way merge
  354. Mon May 11 09:04:33 2026 reduce to 78315882 relation sets and 76577474 unique ideals
  355. Mon May 11 09:04:34 2026 commencing full merge
  356. Mon May 11 09:51:45 2026 memory use: 3598.2 MB
  357. Mon May 11 09:51:45 2026 found 1528003 cycles, need 16513110
  358. Mon May 11 09:51:45 2026 too few cycles, matrix probably cannot build
  359. Mon May 11 09:51:46 2026 RelProcTime: 13317
  360. Mon May 11 09:51:46 2026
  361. Mon May 11 09:51:46 2026 commencing linear algebra
  362. Mon May 11 09:51:46 2026 using VBITS=256
  363. Mon May 11 09:51:46 2026 building matrices for all densities
  364. Mon May 11 09:51:46 2026 found 2 density files
  365. Mon May 11 09:51:46 2026 building matrix for density 80
  366. Mon May 11 09:51:51 2026 read 40027674 cycles
  367. Mon May 11 09:52:45 2026 cycles contain 131314780 unique relations
  368. Mon May 11 09:55:59 2026 read 131314780 relations
  369. Mon May 11 09:56:27 2026 using 20 quadratic characters above 4294917295
  370. Mon May 11 09:56:57 2026 building initial matrix
  371. Mon May 11 10:13:08 2026 memory use: 16902.5 MB
  372. Mon May 11 10:13:29 2026 read 40027674 cycles
  373. Mon May 11 10:13:34 2026 matrix is 40027497 x 40027674 (13556.1 MB) with weight 3947110883 (98.61/col)
  374. Mon May 11 10:13:34 2026 sparse part has weight 3113349102 (77.78/col)
  375. Mon May 11 10:18:28 2026 filtering completed in 2 passes
  376. Mon May 11 10:18:37 2026 matrix is 39999293 x 39999458 (13554.3 MB) with weight 3946361338 (98.66/col)
  377. Mon May 11 10:18:37 2026 sparse part has weight 3113174120 (77.83/col)
  378. Mon May 11 10:19:36 2026 building matrix for density 100
  379. Mon May 11 10:19:36 2026 read 36537674 cycles
  380. Mon May 11 10:20:22 2026 cycles contain 131376136 unique relations
  381. Mon May 11 10:23:00 2026 read 131376136 relations
  382. Mon May 11 10:23:29 2026 using 20 quadratic characters above 4294917295
  383. Mon May 11 10:23:56 2026 building initial matrix
  384. Mon May 11 10:41:51 2026 memory use: 16919.6 MB
  385. Mon May 11 10:42:14 2026 read 36537674 cycles
  386. Mon May 11 10:42:18 2026 matrix is 36537497 x 36537674 (14898.2 MB) with weight 4300930033 (117.71/col)
  387. Mon May 11 10:42:18 2026 sparse part has weight 3503570428 (95.89/col)
  388. Mon May 11 10:47:21 2026 filtering completed in 2 passes
  389. Mon May 11 10:47:29 2026 matrix is 36524799 x 36524967 (14897.3 MB) with weight 4300546058 (117.74/col)
  390. Mon May 11 10:47:29 2026 sparse part has weight 3503467377 (95.92/col)
  391. Mon May 11 10:48:32 2026 BLanczosTime: 3406
  392. Mon May 11 10:48:32 2026 elapsed time 04:38:44
  393. Tue May 12 01:44:31 2026
  394. Tue May 12 01:44:31 2026
  395. Tue May 12 01:44:31 2026 Msieve v. 1.54 (SVN unknown)
  396. Tue May 12 01:44:31 2026 random seeds: 920cab62 6de277a4
  397. Tue May 12 01:44:31 2026 Using 20 OpenMP threads
  398. Tue May 12 01:44:31 2026 factoring 531638996128731892773930112854135770527923352148708725852133334339824219854666564309359722310338356244557710038785388429958235498997237853720798276000401355939907145674135262962086389341104694013596874857106986102341242609301294371925375691648036496012067851116168566877 (270 digits)
  399. Tue May 12 01:44:32 2026 no P-1/P+1/ECM available, skipping
  400. Tue May 12 01:44:32 2026 commencing number field sieve (270-digit input)
  401. Tue May 12 01:44:32 2026 R0: 1
  402. Tue May 12 01:44:32 2026 R1: -900043590835720627746651124794301028277324811
  403. Tue May 12 01:44:32 2026 A0: -12211
  404. Tue May 12 01:44:32 2026 A1: 0
  405. Tue May 12 01:44:32 2026 A2: 0
  406. Tue May 12 01:44:32 2026 A3: 0
  407. Tue May 12 01:44:32 2026 A4: 0
  408. Tue May 12 01:44:32 2026 A5: 0
  409. Tue May 12 01:44:32 2026 A6: 1
  410. Tue May 12 01:44:32 2026 skew 3.70, size 9.311e-14, alpha 1.198, combined = 2.007e-14 rroots = 2
  411. Tue May 12 01:44:32 2026
  412. Tue May 12 01:44:32 2026 commencing linear algebra
  413. Tue May 12 01:44:32 2026 using VBITS=64
  414. Tue May 12 01:44:32 2026 skipping matrix build
  415. Tue May 12 01:44:42 2026 matrix starts at (0, 0)
  416. Tue May 12 01:44:46 2026 matrix is 39999293 x 39999458 (13554.3 MB) with weight 3946361338 (98.66/col)
  417. Tue May 12 01:44:46 2026 sparse part has weight 3113174120 (77.83/col)
  418. Tue May 12 01:44:46 2026 saving the first 48 matrix rows for later
  419. Tue May 12 01:44:49 2026 matrix includes 64 packed rows
  420. Tue May 12 01:44:54 2026 matrix is 39999245 x 39999458 (12953.2 MB) with weight 3199185049 (79.98/col)
  421. Tue May 12 01:44:54 2026 sparse part has weight 2995599135 (74.89/col)
  422. Tue May 12 01:44:54 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  423. Tue May 12 01:44:54 2026 selected card has CUDA arch 12.0
  424. Tue May 12 01:47:58 2026 commencing Lanczos iteration
  425. Tue May 12 01:47:59 2026 memory use: 25906.3 MB
  426. Tue May 12 01:48:56 2026 checking every 20000 dimensions, checkpointing every 1240000 dimensions
  427. Tue May 12 01:49:29 2026 linear algebra at 0.1%, ETA 32h35m
  428. Wed May 13 10:24:27 2026 lanczos halted after 632545 iterations (dim = 39999244)
  429. Wed May 13 10:25:08 2026 recovered 34 nontrivial dependencies
  430. Wed May 13 10:25:09 2026 BLanczosTime: 117637
  431. Wed May 13 10:25:09 2026 elapsed time 32:40:38
  432. Wed May 13 06:32:38 2026
  433. Wed May 13 06:32:38 2026
  434. Wed May 13 06:32:38 2026 Msieve v. 1.54 (SVN unknown)
  435. Wed May 13 06:32:38 2026 random seeds: f68dfd56 fcdcb08c
  436. Wed May 13 06:32:38 2026 Using 14 OpenMP threads
  437. Wed May 13 06:32:38 2026 factoring 531638996128731892773930112854135770527923352148708725852133334339824219854666564309359722310338356244557710038785388429958235498997237853720798276000401355939907145674135262962086389341104694013596874857106986102341242609301294371925375691648036496012067851116168566877 (270 digits)
  438. Wed May 13 06:32:39 2026 no P-1/P+1/ECM available, skipping
  439. Wed May 13 06:32:39 2026 commencing number field sieve (270-digit input)
  440. Wed May 13 06:32:39 2026 R0: 1
  441. Wed May 13 06:32:39 2026 R1: -900043590835720627746651124794301028277324811
  442. Wed May 13 06:32:39 2026 A0: -12211
  443. Wed May 13 06:32:39 2026 A1: 0
  444. Wed May 13 06:32:39 2026 A2: 0
  445. Wed May 13 06:32:39 2026 A3: 0
  446. Wed May 13 06:32:39 2026 A4: 0
  447. Wed May 13 06:32:39 2026 A5: 0
  448. Wed May 13 06:32:39 2026 A6: 1
  449. Wed May 13 06:32:39 2026 skew 3.70, size 9.311e-14, alpha 1.198, combined = 2.007e-14 rroots = 2
  450. Wed May 13 06:32:39 2026
  451. Wed May 13 06:32:39 2026 commencing square root phase
  452. Wed May 13 06:32:39 2026 reading relations for dependency 1
  453. Wed May 13 06:32:41 2026 read 20004654 cycles
  454. Wed May 13 06:33:10 2026 cycles contain 65667912 unique relations
  455. Wed May 13 06:37:13 2026 read 65667912 relations
  456. Wed May 13 06:41:10 2026 multiplying 65667912 relations
  457. Wed May 13 06:45:23 2026 multiply complete, coefficients have about 1797.23 million bits
  458. Wed May 13 06:45:25 2026 initial square root is modulo 115316527
  459. Wed May 13 06:52:35 2026 sqrtTime: 1196
  460. Wed May 13 06:52:35 2026 p133 factor: 3548978618857185279125563151064616518936851622686216781958368488807111980441585496921320771843476331263336210029404360665710428253477
  461. Wed May 13 06:52:35 2026 p138 factor: 149800563267390487032910440563769143654745098506729018782938852848896447137193350931542312600667296693903998878264592130611749156488234201
  462. Wed May 13 06:52:35 2026 elapsed time 00:19:57
  463.  
Tags: math
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