kyleaskine

C189_1920_i2634 msieve.log

Sep 26th, 2026
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  1. Fri Sep 25 10:39:23 2026
  2. Fri Sep 25 10:39:23 2026
  3. Fri Sep 25 10:39:23 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Sep 25 10:39:23 2026 random seeds: 1e267424 aff91b75
  5. Fri Sep 25 10:39:23 2026 Using 14 OpenMP threads
  6. Fri Sep 25 10:39:23 2026 factoring 131238716231605133010349694231762077455482255942534861516330996097002720834648908487832681838581219194343741495392314868617231288498826148720044389950939120588884608990498761947503203263669 (189 digits)
  7. Fri Sep 25 10:39:23 2026 no P-1/P+1/ECM available, skipping
  8. Fri Sep 25 10:39:23 2026 commencing number field sieve (189-digit input)
  9. Fri Sep 25 10:39:23 2026 R0: -2611203458200298742257585245816481793
  10. Fri Sep 25 10:39:23 2026 R1: 105667823379094950963359
  11. Fri Sep 25 10:39:23 2026 A0: 6109809780234513803384396556438779098235740
  12. Fri Sep 25 10:39:23 2026 A1: 2518345618494521530500000236024927155
  13. Fri Sep 25 10:39:23 2026 A2: -564050545601099211399672031531
  14. Fri Sep 25 10:39:23 2026 A3: -122894040466719411686752
  15. Fri Sep 25 10:39:23 2026 A4: 8481464588917068
  16. Fri Sep 25 10:39:23 2026 A5: 257297040
  17. Fri Sep 25 10:39:23 2026 skew 9408167.73, size 2.518e-18, alpha -8.777, combined = 3.177e-14 rroots = 5
  18. Fri Sep 25 10:39:23 2026
  19. Fri Sep 25 10:39:23 2026 commencing relation filtering
  20. Fri Sep 25 10:39:23 2026 setting 3 target densities:Fri Sep 25 10:39:23 2026 90Fri Sep 25 10:39:23 2026 110Fri Sep 25 10:39:23 2026 130Fri Sep 25 10:39:23 2026
  21. Fri Sep 25 10:39:23 2026 estimated available RAM is 78540.1 MB
  22. Fri Sep 25 10:39:23 2026 commencing duplicate removal, pass 1
  23. Fri Sep 25 10:39:31 2026 error -1 reading relation 5667231
  24. Fri Sep 25 10:39:32 2026 error -1 reading relation 6124006
  25. Fri Sep 25 10:39:47 2026 error -1 reading relation 19095967
  26. Fri Sep 25 10:40:30 2026 error -1 reading relation 53993583
  27. Fri Sep 25 10:40:43 2026 error -1 reading relation 64284814
  28. Fri Sep 25 10:41:00 2026 error -1 reading relation 79400740
  29. Fri Sep 25 10:41:13 2026 error -1 reading relation 88266790
  30. Fri Sep 25 10:41:19 2026 error -1 reading relation 92582193
  31. Fri Sep 25 10:41:41 2026 error -1 reading relation 108946527
  32. Fri Sep 25 10:41:50 2026 error -15 reading relation 115111019
  33. Fri Sep 25 10:41:51 2026 error -1 reading relation 116221026
  34. Fri Sep 25 10:41:53 2026 error -1 reading relation 117367208
  35. Fri Sep 25 10:42:03 2026 error -1 reading relation 123703944
  36. Fri Sep 25 10:42:11 2026 error -1 reading relation 127979041
  37. Fri Sep 25 10:42:22 2026 error -1 reading relation 135496274
  38. Fri Sep 25 10:42:23 2026 error -1 reading relation 136530922
  39. Fri Sep 25 10:42:31 2026 error -1 reading relation 140673127
  40. Fri Sep 25 10:42:38 2026 error -1 reading relation 144817565
  41. Fri Sep 25 10:42:47 2026 error -1 reading relation 149809514
  42. Fri Sep 25 10:42:47 2026 error -1 reading relation 149819341
  43. Fri Sep 25 10:42:52 2026 error -1 reading relation 154180960
  44. Fri Sep 25 10:42:56 2026 error -1 reading relation 157176974
  45. Fri Sep 25 10:42:58 2026 error -1 reading relation 158342319
  46. Fri Sep 25 10:43:01 2026 error -1 reading relation 160540032
  47. Fri Sep 25 10:44:48 2026 error -1 reading relation 236038527
  48. Fri Sep 25 10:44:56 2026 error -1 reading relation 241081015
  49. Fri Sep 25 10:45:16 2026 error -1 reading relation 254621819
  50. Fri Sep 25 10:45:32 2026 error -1 reading relation 267339846
  51. Fri Sep 25 10:45:52 2026 error -1 reading relation 282767966
  52. Fri Sep 25 10:45:52 2026 error -1 reading relation 283374406
  53. Fri Sep 25 10:45:55 2026 error -1 reading relation 286396451
  54. Fri Sep 25 10:46:07 2026 error -15 reading relation 294848041
  55. Fri Sep 25 10:46:07 2026 error -1 reading relation 294848042
  56. Fri Sep 25 10:46:16 2026 error -1 reading relation 298429865
  57. Fri Sep 25 10:46:22 2026 error -1 reading relation 300106806
  58. Fri Sep 25 10:46:22 2026 error -6 reading relation 300159044
  59. Fri Sep 25 10:46:25 2026 error -1 reading relation 302588617
  60. Fri Sep 25 10:46:55 2026 error -1 reading relation 309993293
  61. Fri Sep 25 10:47:04 2026 error -1 reading relation 314453001
  62. Fri Sep 25 10:47:04 2026 error -1 reading relation 314547089
  63. Fri Sep 25 10:47:04 2026 error -1 reading relation 314548637
  64. Fri Sep 25 10:47:05 2026 error -1 reading relation 315522441
  65. Fri Sep 25 10:47:06 2026 error -1 reading relation 316066907
  66. Fri Sep 25 10:47:12 2026 error -1 reading relation 319981414
  67. Fri Sep 25 10:47:25 2026 error -1 reading relation 328527406
  68. Fri Sep 25 10:47:41 2026 error -1 reading relation 341440227
  69. Fri Sep 25 10:47:55 2026 error -1 reading relation 351952301
  70. Fri Sep 25 10:49:02 2026 error -1 reading relation 387366942
  71. Fri Sep 25 10:49:09 2026 error -1 reading relation 390402977
  72. Fri Sep 25 10:49:30 2026 error -1 reading relation 398771201
  73. Fri Sep 25 10:49:30 2026 error -1 reading relation 398804171
  74. Fri Sep 25 10:49:49 2026 error -1 reading relation 405286802
  75. Fri Sep 25 10:50:08 2026 error -1 reading relation 412869315
  76. Fri Sep 25 10:50:24 2026 error -1 reading relation 417166667
  77. Fri Sep 25 10:50:54 2026 error -1 reading relation 424276673
  78. Fri Sep 25 10:50:58 2026 error -1 reading relation 425005377
  79. Fri Sep 25 10:51:00 2026 error -1 reading relation 425805305
  80. Fri Sep 25 10:51:01 2026 error -1 reading relation 425967958
  81. Fri Sep 25 10:51:19 2026 error -1 reading relation 430125858
  82. Fri Sep 25 10:51:22 2026 error -1 reading relation 432523178
  83. Fri Sep 25 10:51:26 2026 error -1 reading relation 434807215
  84. Fri Sep 25 10:51:29 2026 error -1 reading relation 436518774
  85. Fri Sep 25 10:51:35 2026 error -1 reading relation 440719881
  86. Fri Sep 25 10:51:38 2026 error -1 reading relation 441943322
  87. Fri Sep 25 10:51:40 2026 error -1 reading relation 442782717
  88. Fri Sep 25 10:51:40 2026 error -1 reading relation 442787425
  89. Fri Sep 25 10:52:30 2026 error -1 reading relation 467438121
  90. Fri Sep 25 10:52:34 2026 error -1 reading relation 470449517
  91. Fri Sep 25 10:52:34 2026 error -1 reading relation 470623722
  92. Fri Sep 25 10:52:46 2026 error -1 reading relation 479180026
  93. Fri Sep 25 10:52:47 2026 error -1 reading relation 479763681
  94. Fri Sep 25 10:52:47 2026 error -1 reading relation 480149110
  95. Fri Sep 25 10:53:24 2026 error -1 reading relation 495527501
  96. Fri Sep 25 10:54:04 2026 error -1 reading relation 523020011
  97. Fri Sep 25 10:54:07 2026 error -1 reading relation 525515751
  98. Fri Sep 25 10:54:12 2026 error -1 reading relation 528685154
  99. Fri Sep 25 10:54:14 2026 error -1 reading relation 529713302
  100. Fri Sep 25 10:54:16 2026 error -1 reading relation 531172477
  101. Fri Sep 25 10:54:22 2026 error -1 reading relation 534834679
  102. Fri Sep 25 10:54:23 2026 error -1 reading relation 535363662
  103. Fri Sep 25 10:54:26 2026 error -1 reading relation 537009934
  104. Fri Sep 25 10:54:33 2026 error -1 reading relation 541715320
  105. Fri Sep 25 10:54:51 2026 error -1 reading relation 548061456
  106. Fri Sep 25 10:55:00 2026 error -1 reading relation 550877745
  107. Fri Sep 25 10:55:07 2026 error -1 reading relation 554238361
  108. Fri Sep 25 10:55:17 2026 error -1 reading relation 559900416
  109. Fri Sep 25 10:55:21 2026 error -1 reading relation 562371553
  110. Fri Sep 25 10:55:23 2026 error -1 reading relation 564503567
  111. Fri Sep 25 10:55:29 2026 error -1 reading relation 568513734
  112. Fri Sep 25 10:55:33 2026 error -1 reading relation 572603036
  113. Fri Sep 25 10:55:37 2026 error -1 reading relation 575823581
  114. Fri Sep 25 10:55:43 2026 error -1 reading relation 579564578
  115. Fri Sep 25 10:55:44 2026 error -1 reading relation 580256362
  116. Fri Sep 25 10:55:52 2026 error -1 reading relation 585841204
  117. Fri Sep 25 10:55:53 2026 error -1 reading relation 586014014
  118. Fri Sep 25 10:55:58 2026 error -1 reading relation 589742035
  119. Fri Sep 25 10:56:01 2026 error -1 reading relation 591733970
  120. Fri Sep 25 10:56:11 2026 error -1 reading relation 598748219
  121. Fri Sep 25 10:56:36 2026 error -1 reading relation 613360569
  122. Fri Sep 25 10:56:40 2026 error -1 reading relation 615747444
  123. Fri Sep 25 10:56:42 2026 error -1 reading relation 616829216
  124. Fri Sep 25 10:56:42 2026 error -1 reading relation 617429499
  125. Fri Sep 25 10:56:44 2026 error -1 reading relation 618612457
  126. Fri Sep 25 10:56:49 2026 error -1 reading relation 622277701
  127. Fri Sep 25 10:56:51 2026 error -1 reading relation 623472772
  128. Fri Sep 25 10:56:51 2026 error -1 reading relation 623478071
  129. Fri Sep 25 10:56:52 2026 error -1 reading relation 623702937
  130. Fri Sep 25 10:56:52 2026 error -1 reading relation 623902992
  131. Fri Sep 25 10:56:53 2026 error -1 reading relation 624594450
  132. Fri Sep 25 10:57:01 2026 error -1 reading relation 629933877
  133. Fri Sep 25 10:57:02 2026 error -1 reading relation 630864206
  134. Fri Sep 25 10:57:03 2026 error -1 reading relation 631565060
  135. Fri Sep 25 10:57:04 2026 error -1 reading relation 633811631
  136. Fri Sep 25 10:57:06 2026 error -1 reading relation 635167897
  137. Fri Sep 25 10:57:09 2026 error -1 reading relation 637532050
  138. Fri Sep 25 10:57:09 2026 error -1 reading relation 637543052
  139. Fri Sep 25 10:57:10 2026 skipped 2 relations with composite factors
  140. Fri Sep 25 10:57:10 2026 skipped 882 malformed relations
  141. Fri Sep 25 10:57:10 2026 found 121308598 hash collisions in 637756407 relations
  142. Fri Sep 25 10:57:23 2026 added 122062 free relations
  143. Fri Sep 25 10:57:23 2026 commencing duplicate removal, pass 2
  144. Fri Sep 25 11:03:39 2026 found 126140329 duplicates and 511738140 unique relations
  145. Fri Sep 25 11:03:39 2026 memory use: 3411.0 MB
  146. Fri Sep 25 11:03:39 2026 reading ideals above 271646720
  147. Fri Sep 25 11:03:39 2026 commencing singleton removal, initial pass
  148. Fri Sep 25 11:24:41 2026 memory use: 11024.0 MB
  149. Fri Sep 25 11:24:42 2026 reading all ideals from disk
  150. Fri Sep 25 11:24:56 2026 memory use: 13392.1 MB
  151. Fri Sep 25 11:25:19 2026 commencing in-memory singleton removal
  152. Fri Sep 25 11:25:25 2026 begin with 511738140 relations and 446298181 unique ideals
  153. Fri Sep 25 11:26:07 2026 reduce to 315321094 relations and 229082651 ideals in 15 passes
  154. Fri Sep 25 11:26:07 2026 max relations containing the same ideal: 33
  155. Fri Sep 25 11:26:20 2026 reading ideals above 720000
  156. Fri Sep 25 11:26:21 2026 commencing singleton removal, initial pass
  157. Fri Sep 25 11:56:30 2026 memory use: 6024.0 MB
  158. Fri Sep 25 11:56:31 2026 reading all ideals from disk
  159. Fri Sep 25 11:57:45 2026 memory use: 15642.0 MB
  160. Fri Sep 25 11:58:21 2026 keeping 257067147 ideals with weight <= 200, target excess is 1605223
  161. Fri Sep 25 11:58:49 2026 commencing in-memory singleton removal
  162. Fri Sep 25 11:58:54 2026 begin with 315321094 relations and 257067147 unique ideals
  163. Fri Sep 25 11:59:17 2026 reduce to 315316220 relations and 257062273 ideals in 7 passes
  164. Fri Sep 25 11:59:17 2026 max relations containing the same ideal: 200
  165. Fri Sep 25 12:01:03 2026 removing 14129403 relations and 12129403 ideals in 2000000 cliques
  166. Fri Sep 25 12:01:09 2026 commencing in-memory singleton removal
  167. Fri Sep 25 12:01:15 2026 begin with 301186817 relations and 257062273 unique ideals
  168. Fri Sep 25 12:01:42 2026 reduce to 300715289 relations and 244457209 ideals in 9 passes
  169. Fri Sep 25 12:01:42 2026 max relations containing the same ideal: 200
  170. Fri Sep 25 12:03:14 2026 removing 10659749 relations and 8659749 ideals in 2000000 cliques
  171. Fri Sep 25 12:03:20 2026 commencing in-memory singleton removal
  172. Fri Sep 25 12:03:24 2026 begin with 290055540 relations and 244457209 unique ideals
  173. Fri Sep 25 12:03:42 2026 reduce to 289755131 relations and 235494868 ideals in 7 passes
  174. Fri Sep 25 12:03:42 2026 max relations containing the same ideal: 198
  175. Fri Sep 25 12:04:57 2026 removing 9563742 relations and 7563742 ideals in 2000000 cliques
  176. Fri Sep 25 12:05:02 2026 commencing in-memory singleton removal
  177. Fri Sep 25 12:05:04 2026 begin with 280191389 relations and 235494868 unique ideals
  178. Fri Sep 25 12:05:22 2026 reduce to 279936058 relations and 227673955 ideals in 7 passes
  179. Fri Sep 25 12:05:22 2026 max relations containing the same ideal: 194
  180. Fri Sep 25 12:06:34 2026 removing 8957783 relations and 6957783 ideals in 2000000 cliques
  181. Fri Sep 25 12:06:39 2026 commencing in-memory singleton removal
  182. Fri Sep 25 12:06:42 2026 begin with 270978275 relations and 227673955 unique ideals
  183. Fri Sep 25 12:06:57 2026 reduce to 270745452 relations and 220481766 ideals in 6 passes
  184. Fri Sep 25 12:06:57 2026 max relations containing the same ideal: 191
  185. Fri Sep 25 12:08:05 2026 removing 8546167 relations and 6546167 ideals in 2000000 cliques
  186. Fri Sep 25 12:08:09 2026 commencing in-memory singleton removal
  187. Fri Sep 25 12:08:13 2026 begin with 262199285 relations and 220481766 unique ideals
  188. Fri Sep 25 12:08:32 2026 reduce to 261978507 relations and 213713234 ideals in 7 passes
  189. Fri Sep 25 12:08:32 2026 max relations containing the same ideal: 189
  190. Fri Sep 25 12:09:39 2026 removing 8253230 relations and 6253230 ideals in 2000000 cliques
  191. Fri Sep 25 12:09:43 2026 commencing in-memory singleton removal
  192. Fri Sep 25 12:09:47 2026 begin with 253725277 relations and 213713234 unique ideals
  193. Fri Sep 25 12:10:05 2026 reduce to 253511668 relations and 207244882 ideals in 7 passes
  194. Fri Sep 25 12:10:05 2026 max relations containing the same ideal: 184
  195. Fri Sep 25 12:11:14 2026 removing 8038670 relations and 6038670 ideals in 2000000 cliques
  196. Fri Sep 25 12:11:18 2026 commencing in-memory singleton removal
  197. Fri Sep 25 12:11:21 2026 begin with 245472998 relations and 207244882 unique ideals
  198. Fri Sep 25 12:11:36 2026 reduce to 245263748 relations and 200995356 ideals in 7 passes
  199. Fri Sep 25 12:11:36 2026 max relations containing the same ideal: 180
  200. Fri Sep 25 12:12:42 2026 removing 7868177 relations and 5868177 ideals in 2000000 cliques
  201. Fri Sep 25 12:12:46 2026 commencing in-memory singleton removal
  202. Fri Sep 25 12:12:49 2026 begin with 237395571 relations and 200995356 unique ideals
  203. Fri Sep 25 12:13:04 2026 reduce to 237189004 relations and 194919017 ideals in 7 passes
  204. Fri Sep 25 12:13:04 2026 max relations containing the same ideal: 178
  205. Fri Sep 25 12:14:08 2026 removing 7732600 relations and 5732600 ideals in 2000000 cliques
  206. Fri Sep 25 12:14:12 2026 commencing in-memory singleton removal
  207. Fri Sep 25 12:14:16 2026 begin with 229456404 relations and 194919017 unique ideals
  208. Fri Sep 25 12:14:31 2026 reduce to 229249183 relations and 188977603 ideals in 7 passes
  209. Fri Sep 25 12:14:31 2026 max relations containing the same ideal: 173
  210. Fri Sep 25 12:15:33 2026 removing 7629217 relations and 5629217 ideals in 2000000 cliques
  211. Fri Sep 25 12:15:37 2026 commencing in-memory singleton removal
  212. Fri Sep 25 12:15:38 2026 begin with 221619966 relations and 188977603 unique ideals
  213. Fri Sep 25 12:15:52 2026 reduce to 221412752 relations and 183139468 ideals in 7 passes
  214. Fri Sep 25 12:15:52 2026 max relations containing the same ideal: 170
  215. Fri Sep 25 12:16:54 2026 removing 7546017 relations and 5546017 ideals in 2000000 cliques
  216. Fri Sep 25 12:16:58 2026 commencing in-memory singleton removal
  217. Fri Sep 25 12:17:01 2026 begin with 213866735 relations and 183139468 unique ideals
  218. Fri Sep 25 12:17:10 2026 reduce to 213657258 relations and 177382244 ideals in 6 passes
  219. Fri Sep 25 12:17:10 2026 max relations containing the same ideal: 167
  220. Fri Sep 25 12:18:11 2026 removing 7480032 relations and 5480032 ideals in 2000000 cliques
  221. Fri Sep 25 12:18:14 2026 commencing in-memory singleton removal
  222. Fri Sep 25 12:18:17 2026 begin with 206177226 relations and 177382244 unique ideals
  223. Fri Sep 25 12:18:32 2026 reduce to 205964069 relations and 171687082 ideals in 8 passes
  224. Fri Sep 25 12:18:32 2026 max relations containing the same ideal: 165
  225. Fri Sep 25 12:19:32 2026 removing 7428453 relations and 5428453 ideals in 2000000 cliques
  226. Fri Sep 25 12:19:36 2026 commencing in-memory singleton removal
  227. Fri Sep 25 12:19:38 2026 begin with 198535616 relations and 171687082 unique ideals
  228. Fri Sep 25 12:19:47 2026 reduce to 198319229 relations and 166040288 ideals in 6 passes
  229. Fri Sep 25 12:19:47 2026 max relations containing the same ideal: 160
  230. Fri Sep 25 12:20:43 2026 removing 7387883 relations and 5387883 ideals in 2000000 cliques
  231. Fri Sep 25 12:20:44 2026 commencing in-memory singleton removal
  232. Fri Sep 25 12:20:46 2026 begin with 190931346 relations and 166040288 unique ideals
  233. Fri Sep 25 12:20:58 2026 reduce to 190708509 relations and 160427551 ideals in 7 passes
  234. Fri Sep 25 12:20:58 2026 max relations containing the same ideal: 155
  235. Fri Sep 25 12:21:50 2026 removing 7368703 relations and 5368703 ideals in 2000000 cliques
  236. Fri Sep 25 12:21:54 2026 commencing in-memory singleton removal
  237. Fri Sep 25 12:21:56 2026 begin with 183339806 relations and 160427551 unique ideals
  238. Fri Sep 25 12:22:07 2026 reduce to 183110282 relations and 154827056 ideals in 7 passes
  239. Fri Sep 25 12:22:07 2026 max relations containing the same ideal: 148
  240. Fri Sep 25 12:22:57 2026 removing 7348878 relations and 5348878 ideals in 2000000 cliques
  241. Fri Sep 25 12:23:00 2026 commencing in-memory singleton removal
  242. Fri Sep 25 12:23:03 2026 begin with 175761404 relations and 154827056 unique ideals
  243. Fri Sep 25 12:23:12 2026 reduce to 175524535 relations and 149238922 ideals in 6 passes
  244. Fri Sep 25 12:23:12 2026 max relations containing the same ideal: 145
  245. Fri Sep 25 12:24:00 2026 removing 7342793 relations and 5342793 ideals in 2000000 cliques
  246. Fri Sep 25 12:24:03 2026 commencing in-memory singleton removal
  247. Fri Sep 25 12:24:05 2026 begin with 168181742 relations and 149238922 unique ideals
  248. Fri Sep 25 12:24:15 2026 reduce to 167934793 relations and 143646588 ideals in 7 passes
  249. Fri Sep 25 12:24:15 2026 max relations containing the same ideal: 142
  250. Fri Sep 25 12:25:00 2026 removing 7349952 relations and 5349952 ideals in 2000000 cliques
  251. Fri Sep 25 12:25:03 2026 commencing in-memory singleton removal
  252. Fri Sep 25 12:25:05 2026 begin with 160584841 relations and 143646588 unique ideals
  253. Fri Sep 25 12:25:14 2026 reduce to 160327440 relations and 138036373 ideals in 7 passes
  254. Fri Sep 25 12:25:14 2026 max relations containing the same ideal: 138
  255. Fri Sep 25 12:25:59 2026 removing 7362005 relations and 5362005 ideals in 2000000 cliques
  256. Fri Sep 25 12:26:02 2026 commencing in-memory singleton removal
  257. Fri Sep 25 12:26:04 2026 begin with 152965435 relations and 138036373 unique ideals
  258. Fri Sep 25 12:26:13 2026 reduce to 152697144 relations and 132402926 ideals in 7 passes
  259. Fri Sep 25 12:26:13 2026 max relations containing the same ideal: 135
  260. Fri Sep 25 12:26:55 2026 removing 7387252 relations and 5387252 ideals in 2000000 cliques
  261. Fri Sep 25 12:26:58 2026 commencing in-memory singleton removal
  262. Fri Sep 25 12:27:00 2026 begin with 145309892 relations and 132402926 unique ideals
  263. Fri Sep 25 12:27:11 2026 reduce to 145026493 relations and 126728869 ideals in 8 passes
  264. Fri Sep 25 12:27:11 2026 max relations containing the same ideal: 128
  265. Fri Sep 25 12:27:50 2026 removing 7419504 relations and 5419504 ideals in 2000000 cliques
  266. Fri Sep 25 12:27:53 2026 commencing in-memory singleton removal
  267. Fri Sep 25 12:27:54 2026 begin with 137606989 relations and 126728869 unique ideals
  268. Fri Sep 25 12:28:04 2026 reduce to 137306640 relations and 121005209 ideals in 8 passes
  269. Fri Sep 25 12:28:04 2026 max relations containing the same ideal: 124
  270. Fri Sep 25 12:28:46 2026 removing 7465256 relations and 5465256 ideals in 2000000 cliques
  271. Fri Sep 25 12:28:47 2026 commencing in-memory singleton removal
  272. Fri Sep 25 12:28:48 2026 begin with 129841384 relations and 121005209 unique ideals
  273. Fri Sep 25 12:28:57 2026 reduce to 129520424 relations and 115214880 ideals in 8 passes
  274. Fri Sep 25 12:28:57 2026 max relations containing the same ideal: 118
  275. Fri Sep 25 12:29:34 2026 removing 7523216 relations and 5523216 ideals in 2000000 cliques
  276. Fri Sep 25 12:29:37 2026 commencing in-memory singleton removal
  277. Fri Sep 25 12:29:39 2026 begin with 121997208 relations and 115214880 unique ideals
  278. Fri Sep 25 12:29:47 2026 reduce to 121652082 relations and 109341775 ideals in 8 passes
  279. Fri Sep 25 12:29:47 2026 max relations containing the same ideal: 112
  280. Fri Sep 25 12:30:19 2026 removing 7592235 relations and 5592235 ideals in 2000000 cliques
  281. Fri Sep 25 12:30:22 2026 commencing in-memory singleton removal
  282. Fri Sep 25 12:30:23 2026 begin with 114059847 relations and 109341775 unique ideals
  283. Fri Sep 25 12:30:30 2026 reduce to 113686951 relations and 103371295 ideals in 8 passes
  284. Fri Sep 25 12:30:30 2026 max relations containing the same ideal: 108
  285. Fri Sep 25 12:31:03 2026 removing 7685378 relations and 5685378 ideals in 2000000 cliques
  286. Fri Sep 25 12:31:06 2026 commencing in-memory singleton removal
  287. Fri Sep 25 12:31:07 2026 begin with 106001573 relations and 103371295 unique ideals
  288. Fri Sep 25 12:31:13 2026 reduce to 105595153 relations and 97273131 ideals in 8 passes
  289. Fri Sep 25 12:31:13 2026 max relations containing the same ideal: 107
  290. Fri Sep 25 12:31:44 2026 removing 7786955 relations and 5786955 ideals in 2000000 cliques
  291. Fri Sep 25 12:31:46 2026 commencing in-memory singleton removal
  292. Fri Sep 25 12:31:48 2026 begin with 97808198 relations and 97273131 unique ideals
  293. Fri Sep 25 12:31:51 2026 reduce to 97356508 relations and 91027252 ideals in 7 passes
  294. Fri Sep 25 12:31:51 2026 max relations containing the same ideal: 103
  295. Fri Sep 25 12:32:20 2026 removing 7907459 relations and 5907459 ideals in 2000000 cliques
  296. Fri Sep 25 12:32:22 2026 commencing in-memory singleton removal
  297. Fri Sep 25 12:32:23 2026 begin with 89449049 relations and 91027252 unique ideals
  298. Fri Sep 25 12:32:28 2026 reduce to 88943334 relations and 84605397 ideals in 8 passes
  299. Fri Sep 25 12:32:28 2026 max relations containing the same ideal: 93
  300. Fri Sep 25 12:32:55 2026 removing 8058722 relations and 6058722 ideals in 2000000 cliques
  301. Fri Sep 25 12:32:57 2026 commencing in-memory singleton removal
  302. Fri Sep 25 12:32:58 2026 begin with 80884612 relations and 84605397 unique ideals
  303. Fri Sep 25 12:33:03 2026 reduce to 80307665 relations and 77958713 ideals in 8 passes
  304. Fri Sep 25 12:33:03 2026 max relations containing the same ideal: 88
  305. Fri Sep 25 12:33:26 2026 removing 2630685 relations and 2143792 ideals in 486893 cliques
  306. Fri Sep 25 12:33:28 2026 commencing in-memory singleton removal
  307. Fri Sep 25 12:33:29 2026 begin with 77676980 relations and 77958713 unique ideals
  308. Fri Sep 25 12:33:33 2026 reduce to 77616873 relations and 75754498 ideals in 7 passes
  309. Fri Sep 25 12:33:33 2026 max relations containing the same ideal: 88
  310. Fri Sep 25 12:33:59 2026 trying target density 90
  311. Fri Sep 25 12:34:05 2026 relations with 0 large ideals: 6037
  312. Fri Sep 25 12:34:05 2026 relations with 1 large ideals: 25107
  313. Fri Sep 25 12:34:05 2026 relations with 2 large ideals: 381999
  314. Fri Sep 25 12:34:05 2026 relations with 3 large ideals: 2420258
  315. Fri Sep 25 12:34:05 2026 relations with 4 large ideals: 8263937
  316. Fri Sep 25 12:34:05 2026 relations with 5 large ideals: 16784956
  317. Fri Sep 25 12:34:05 2026 relations with 6 large ideals: 21300454
  318. Fri Sep 25 12:34:05 2026 relations with 7+ large ideals: 28434125
  319. Fri Sep 25 12:34:05 2026 commencing 2-way merge
  320. Fri Sep 25 12:34:43 2026 reduce to 48008355 relation sets and 46145980 unique ideals
  321. Fri Sep 25 12:34:43 2026 commencing full merge
  322. Fri Sep 25 12:44:12 2026 memory use: 5565.9 MB
  323. Fri Sep 25 12:44:16 2026 found 24171754 cycles, need 23918180
  324. Fri Sep 25 12:44:22 2026 weight of 23918180 cycles is about 2152819638 (90.01/cycle)
  325. Fri Sep 25 12:44:22 2026 distribution of cycle lengths:
  326. Fri Sep 25 12:44:22 2026 1 relations: 2510021
  327. Fri Sep 25 12:44:22 2026 2 relations: 2335379
  328. Fri Sep 25 12:44:22 2026 3 relations: 2378126
  329. Fri Sep 25 12:44:22 2026 4 relations: 2324735
  330. Fri Sep 25 12:44:22 2026 5 relations: 2224016
  331. Fri Sep 25 12:44:22 2026 6 relations: 2123894
  332. Fri Sep 25 12:44:22 2026 7 relations: 1945071
  333. Fri Sep 25 12:44:22 2026 8 relations: 1732794
  334. Fri Sep 25 12:44:22 2026 9 relations: 1492435
  335. Fri Sep 25 12:44:22 2026 10+ relations: 4851709
  336. Fri Sep 25 12:44:22 2026 heaviest cycle: 21 relations
  337. Fri Sep 25 12:44:26 2026 commencing cycle optimization
  338. Fri Sep 25 12:44:58 2026 start with 147790810 relations
  339. Fri Sep 25 12:47:43 2026 pruned 4210645 relations
  340. Fri Sep 25 12:47:46 2026 memory use: 4697.4 MB
  341. Fri Sep 25 12:47:46 2026 distribution of cycle lengths:
  342. Fri Sep 25 12:47:46 2026 1 relations: 2510021
  343. Fri Sep 25 12:47:46 2026 2 relations: 2389299
  344. Fri Sep 25 12:47:46 2026 3 relations: 2463354
  345. Fri Sep 25 12:47:46 2026 4 relations: 2391652
  346. Fri Sep 25 12:47:46 2026 5 relations: 2301348
  347. Fri Sep 25 12:47:46 2026 6 relations: 2181245
  348. Fri Sep 25 12:47:46 2026 7 relations: 1997731
  349. Fri Sep 25 12:47:46 2026 8 relations: 1760201
  350. Fri Sep 25 12:47:46 2026 9 relations: 1501842
  351. Fri Sep 25 12:47:46 2026 10+ relations: 4421487
  352. Fri Sep 25 12:47:46 2026 heaviest cycle: 21 relations
  353. Fri Sep 25 12:48:21 2026 trying target density 110
  354. Fri Sep 25 12:48:27 2026 relations with 0 large ideals: 6037
  355. Fri Sep 25 12:48:27 2026 relations with 1 large ideals: 25107
  356. Fri Sep 25 12:48:27 2026 relations with 2 large ideals: 381999
  357. Fri Sep 25 12:48:27 2026 relations with 3 large ideals: 2420258
  358. Fri Sep 25 12:48:27 2026 relations with 4 large ideals: 8263937
  359. Fri Sep 25 12:48:27 2026 relations with 5 large ideals: 16784956
  360. Fri Sep 25 12:48:27 2026 relations with 6 large ideals: 21300454
  361. Fri Sep 25 12:48:27 2026 relations with 7+ large ideals: 28434125
  362. Fri Sep 25 12:48:27 2026 commencing 2-way merge
  363. Fri Sep 25 12:48:59 2026 reduce to 48008355 relation sets and 46145980 unique ideals
  364. Fri Sep 25 12:48:59 2026 commencing full merge
  365. Fri Sep 25 13:00:38 2026 memory use: 5735.2 MB
  366. Fri Sep 25 13:00:42 2026 found 22562985 cycles, need 22338180
  367. Fri Sep 25 13:00:48 2026 weight of 22338180 cycles is about 2457310437 (110.00/cycle)
  368. Fri Sep 25 13:00:48 2026 distribution of cycle lengths:
  369. Fri Sep 25 13:00:48 2026 1 relations: 1702906
  370. Fri Sep 25 13:00:48 2026 2 relations: 1779087
  371. Fri Sep 25 13:00:48 2026 3 relations: 1841352
  372. Fri Sep 25 13:00:48 2026 4 relations: 1803582
  373. Fri Sep 25 13:00:48 2026 5 relations: 1780522
  374. Fri Sep 25 13:00:48 2026 6 relations: 1731652
  375. Fri Sep 25 13:00:48 2026 7 relations: 1673163
  376. Fri Sep 25 13:00:48 2026 8 relations: 1570466
  377. Fri Sep 25 13:00:48 2026 9 relations: 1439500
  378. Fri Sep 25 13:00:48 2026 10+ relations: 7015950
  379. Fri Sep 25 13:00:48 2026 heaviest cycle: 25 relations
  380. Fri Sep 25 13:00:52 2026 commencing cycle optimization
  381. Fri Sep 25 13:01:26 2026 start with 168186903 relations
  382. Fri Sep 25 13:05:22 2026 pruned 6026613 relations
  383. Fri Sep 25 13:05:22 2026 memory use: 4914.4 MB
  384. Fri Sep 25 13:05:22 2026 distribution of cycle lengths:
  385. Fri Sep 25 13:05:22 2026 1 relations: 1702906
  386. Fri Sep 25 13:05:22 2026 2 relations: 1822120
  387. Fri Sep 25 13:05:22 2026 3 relations: 1911913
  388. Fri Sep 25 13:05:22 2026 4 relations: 1865159
  389. Fri Sep 25 13:05:22 2026 5 relations: 1852562
  390. Fri Sep 25 13:05:22 2026 6 relations: 1796330
  391. Fri Sep 25 13:05:22 2026 7 relations: 1738614
  392. Fri Sep 25 13:05:22 2026 8 relations: 1622933
  393. Fri Sep 25 13:05:22 2026 9 relations: 1481292
  394. Fri Sep 25 13:05:22 2026 10+ relations: 6544351
  395. Fri Sep 25 13:05:22 2026 heaviest cycle: 25 relations
  396. Fri Sep 25 13:05:57 2026 trying target density 130
  397. Fri Sep 25 13:06:02 2026 relations with 0 large ideals: 6037
  398. Fri Sep 25 13:06:02 2026 relations with 1 large ideals: 25107
  399. Fri Sep 25 13:06:02 2026 relations with 2 large ideals: 381999
  400. Fri Sep 25 13:06:02 2026 relations with 3 large ideals: 2420258
  401. Fri Sep 25 13:06:02 2026 relations with 4 large ideals: 8263937
  402. Fri Sep 25 13:06:02 2026 relations with 5 large ideals: 16784956
  403. Fri Sep 25 13:06:02 2026 relations with 6 large ideals: 21300454
  404. Fri Sep 25 13:06:02 2026 relations with 7+ large ideals: 28434125
  405. Fri Sep 25 13:06:02 2026 commencing 2-way merge
  406. Fri Sep 25 13:06:36 2026 reduce to 48008355 relation sets and 46145980 unique ideals
  407. Fri Sep 25 13:06:36 2026 commencing full merge
  408. Fri Sep 25 13:21:05 2026 memory use: 5856.5 MB
  409. Fri Sep 25 13:21:09 2026 found 21291621 cycles, need 21180180
  410. Fri Sep 25 13:21:15 2026 weight of 21180180 cycles is about 2753945579 (130.02/cycle)
  411. Fri Sep 25 13:21:15 2026 distribution of cycle lengths:
  412. Fri Sep 25 13:21:15 2026 1 relations: 1230118
  413. Fri Sep 25 13:21:15 2026 2 relations: 1394857
  414. Fri Sep 25 13:21:15 2026 3 relations: 1482120
  415. Fri Sep 25 13:21:15 2026 4 relations: 1460164
  416. Fri Sep 25 13:21:15 2026 5 relations: 1468611
  417. Fri Sep 25 13:21:15 2026 6 relations: 1436940
  418. Fri Sep 25 13:21:15 2026 7 relations: 1424315
  419. Fri Sep 25 13:21:15 2026 8 relations: 1358607
  420. Fri Sep 25 13:21:15 2026 9 relations: 1303441
  421. Fri Sep 25 13:21:15 2026 10+ relations: 8621007
  422. Fri Sep 25 13:21:15 2026 heaviest cycle: 28 relations
  423. Fri Sep 25 13:21:16 2026 commencing cycle optimization
  424. Fri Sep 25 13:21:55 2026 start with 187828771 relations
  425. Fri Sep 25 13:27:48 2026 pruned 7946913 relations
  426. Fri Sep 25 13:27:48 2026 memory use: 5114.4 MB
  427. Fri Sep 25 13:27:48 2026 distribution of cycle lengths:
  428. Fri Sep 25 13:27:48 2026 1 relations: 1230118
  429. Fri Sep 25 13:27:48 2026 2 relations: 1429523
  430. Fri Sep 25 13:27:48 2026 3 relations: 1541202
  431. Fri Sep 25 13:27:48 2026 4 relations: 1514287
  432. Fri Sep 25 13:27:48 2026 5 relations: 1533144
  433. Fri Sep 25 13:27:48 2026 6 relations: 1499205
  434. Fri Sep 25 13:27:48 2026 7 relations: 1489276
  435. Fri Sep 25 13:27:48 2026 8 relations: 1420045
  436. Fri Sep 25 13:27:48 2026 9 relations: 1359625
  437. Fri Sep 25 13:27:48 2026 10+ relations: 8163755
  438. Fri Sep 25 13:27:48 2026 heaviest cycle: 28 relations
  439. Fri Sep 25 13:28:28 2026 RelProcTime: 10145
  440. Fri Sep 25 13:28:28 2026
  441. Fri Sep 25 13:28:28 2026 commencing linear algebra
  442. Fri Sep 25 13:28:28 2026 using VBITS=256
  443. Fri Sep 25 13:28:28 2026 building matrices for all densities
  444. Fri Sep 25 13:28:28 2026 found 3 density files
  445. Fri Sep 25 13:28:28 2026 building matrix for density 90
  446. Fri Sep 25 13:28:34 2026 read 23918180 cycles
  447. Fri Sep 25 13:29:08 2026 cycles contain 76564527 unique relations
  448. Fri Sep 25 13:47:49 2026 read 76564527 relations
  449. Fri Sep 25 13:48:08 2026 using 20 quadratic characters above 4294917295
  450. Fri Sep 25 13:48:27 2026 building initial matrix
  451. Fri Sep 25 14:01:31 2026 memory use: 10948.0 MB
  452. Fri Sep 25 14:01:49 2026 read 23918180 cycles
  453. Fri Sep 25 14:01:53 2026 matrix is 23918000 x 23918180 (8957.8 MB) with weight 2783207339 (116.36/col)
  454. Fri Sep 25 14:01:53 2026 sparse part has weight 2061227933 (86.18/col)
  455. Fri Sep 25 14:04:27 2026 filtering completed in 2 passes
  456. Fri Sep 25 14:04:32 2026 matrix is 23913842 x 23914021 (8957.5 MB) with weight 2783049144 (116.38/col)
  457. Fri Sep 25 14:04:32 2026 sparse part has weight 2061192188 (86.19/col)
  458. Fri Sep 25 14:05:26 2026 building matrix for density 110
  459. Fri Sep 25 14:05:28 2026 read 22338180 cycles
  460. Fri Sep 25 14:05:55 2026 cycles contain 76578671 unique relations
  461. Fri Sep 25 14:28:28 2026 read 76578671 relations
  462. Fri Sep 25 14:32:04 2026 using 20 quadratic characters above 4294917295
  463. Fri Sep 25 14:33:26 2026 building initial matrix
  464. Fri Sep 25 14:54:58 2026 memory use: 10972.4 MB
  465. Fri Sep 25 14:56:18 2026 read 22338180 cycles
  466. Fri Sep 25 14:56:22 2026 matrix is 22338003 x 22338180 (9872.7 MB) with weight 3038496674 (136.02/col)
  467. Fri Sep 25 14:56:22 2026 sparse part has weight 2320000491 (103.86/col)
  468. Fri Sep 25 14:59:27 2026 filtering completed in 2 passes
  469. Fri Sep 25 14:59:33 2026 matrix is 22336004 x 22336180 (9872.5 MB) with weight 3038409377 (136.03/col)
  470. Fri Sep 25 14:59:33 2026 sparse part has weight 2319978479 (103.87/col)
  471. Fri Sep 25 15:01:39 2026 building matrix for density 130
  472. Fri Sep 25 15:01:41 2026 read 21180180 cycles
  473. Fri Sep 25 15:02:13 2026 cycles contain 76577898 unique relations
  474. Fri Sep 25 15:06:42 2026 read 76577898 relations
  475. Fri Sep 25 15:06:56 2026 using 20 quadratic characters above 4294917295
  476. Fri Sep 25 15:07:13 2026 building initial matrix
  477. Fri Sep 25 15:21:35 2026 memory use: 11004.6 MB
  478. Fri Sep 25 15:21:50 2026 read 21180180 cycles
  479. Fri Sep 25 15:21:51 2026 matrix is 21180003 x 21180180 (10759.9 MB) with weight 3282968942 (155.00/col)
  480. Fri Sep 25 15:21:51 2026 sparse part has weight 2566479814 (121.17/col)
  481. Fri Sep 25 15:25:20 2026 filtering completed in 2 passes
  482. Fri Sep 25 15:25:26 2026 matrix is 21179392 x 21179568 (10759.8 MB) with weight 3282938514 (155.00/col)
  483. Fri Sep 25 15:25:26 2026 sparse part has weight 2566471011 (121.18/col)
  484. Fri Sep 25 15:26:35 2026 BLanczosTime: 7087
  485. Fri Sep 25 15:26:35 2026 elapsed time 04:47:12
  486. Fri Sep 25 20:32:25 2026
  487. Fri Sep 25 20:32:25 2026
  488. Fri Sep 25 20:32:25 2026 Msieve v. 1.54 (SVN unknown)
  489. Fri Sep 25 20:32:25 2026 random seeds: 6203961e 20ff030a
  490. Fri Sep 25 20:32:25 2026 Using 8 OpenMP threads
  491. Fri Sep 25 20:32:25 2026 factoring 131238716231605133010349694231762077455482255942534861516330996097002720834648908487832681838581219194343741495392314868617231288498826148720044389950939120588884608990498761947503203263669 (189 digits)
  492. Fri Sep 25 20:32:25 2026 no P-1/P+1/ECM available, skipping
  493. Fri Sep 25 20:32:25 2026 commencing number field sieve (189-digit input)
  494. Fri Sep 25 20:32:25 2026 R0: -2611203458200298742257585245816481793
  495. Fri Sep 25 20:32:25 2026 R1: 105667823379094950963359
  496. Fri Sep 25 20:32:25 2026 A0: 6109809780234513803384396556438779098235740
  497. Fri Sep 25 20:32:25 2026 A1: 2518345618494521530500000236024927155
  498. Fri Sep 25 20:32:25 2026 A2: -564050545601099211399672031531
  499. Fri Sep 25 20:32:25 2026 A3: -122894040466719411686752
  500. Fri Sep 25 20:32:25 2026 A4: 8481464588917068
  501. Fri Sep 25 20:32:25 2026 A5: 257297040
  502. Fri Sep 25 20:32:25 2026 skew 9408167.73, size 2.518e-18, alpha -8.777, combined = 3.177e-14 rroots = 5
  503. Fri Sep 25 20:32:25 2026
  504. Fri Sep 25 20:32:25 2026 commencing linear algebra
  505. Fri Sep 25 20:32:25 2026 using VBITS=128
  506. Fri Sep 25 20:32:25 2026 skipping matrix build
  507. Fri Sep 25 20:32:53 2026 matrix starts at (0, 0)
  508. Fri Sep 25 20:32:54 2026 matrix is 21179392 x 21179568 (10759.8 MB) with weight 3282938514 (155.00/col)
  509. Fri Sep 25 20:32:54 2026 sparse part has weight 2566471011 (121.18/col)
  510. Fri Sep 25 20:32:54 2026 saving the first 112 matrix rows for later
  511. Fri Sep 25 20:32:54 2026 matrix includes 128 packed rows
  512. Fri Sep 25 20:32:58 2026 matrix is 21179280 x 21179568 (9992.7 MB) with weight 2550376623 (120.42/col)
  513. Fri Sep 25 20:32:58 2026 sparse part has weight 2365360633 (111.68/col)
  514. Fri Sep 25 20:32:59 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  515. Fri Sep 25 20:32:59 2026 selected card has CUDA arch 12.0
  516. Fri Sep 25 20:33:00 2026 storing a single copy of the matrix (no transpose) on the GPU
  517. Fri Sep 25 20:33:00 2026 computed block_nnz 117106278 (L2 cache 50331648 bytes, average column weight 111.7)
  518. Fri Sep 25 20:33:00 2026 nonzeros per matrix block: 117106278
  519. Fri Sep 25 20:33:00 2026 SpMV kernel: auto (by nonzeros per row)
  520. Fri Sep 25 20:33:00 2026 GPU memory: 11015 MB free, 2262 MB for vectors, 8174 MB for sparse matrix blocks (10804 MB needed)
  521. Fri Sep 25 20:33:58 2026 streaming 8 of 21 matrix blocks (4220 MB) from pinned host memory through 3 528 MB buffers
  522. Fri Sep 25 20:33:58 2026 commencing Lanczos iteration
  523. Fri Sep 25 20:34:00 2026 memory use: 10667.6 MB
  524. Fri Sep 25 20:34:45 2026 linear algebra at 0.1%, ETA 8h16m
  525. Fri Sep 25 20:34:53 2026 checking every 40000 dimensions, checkpointing every 2720000 dimensions
  526. Sat Sep 26 07:03:20 2026
  527. Sat Sep 26 07:03:20 2026
  528. Sat Sep 26 07:03:20 2026 Msieve v. 1.54 (SVN unknown)
  529. Sat Sep 26 07:03:20 2026 random seeds: 18a3830f 254002d5
  530. Sat Sep 26 07:03:20 2026 Using 8 OpenMP threads
  531. Sat Sep 26 07:03:20 2026 factoring 131238716231605133010349694231762077455482255942534861516330996097002720834648908487832681838581219194343741495392314868617231288498826148720044389950939120588884608990498761947503203263669 (189 digits)
  532. Sat Sep 26 07:03:20 2026 no P-1/P+1/ECM available, skipping
  533. Sat Sep 26 07:03:20 2026 commencing number field sieve (189-digit input)
  534. Sat Sep 26 07:03:20 2026 R0: -2611203458200298742257585245816481793
  535. Sat Sep 26 07:03:20 2026 R1: 105667823379094950963359
  536. Sat Sep 26 07:03:20 2026 A0: 6109809780234513803384396556438779098235740
  537. Sat Sep 26 07:03:20 2026 A1: 2518345618494521530500000236024927155
  538. Sat Sep 26 07:03:20 2026 A2: -564050545601099211399672031531
  539. Sat Sep 26 07:03:20 2026 A3: -122894040466719411686752
  540. Sat Sep 26 07:03:20 2026 A4: 8481464588917068
  541. Sat Sep 26 07:03:20 2026 A5: 257297040
  542. Sat Sep 26 07:03:20 2026 skew 9408167.73, size 2.518e-18, alpha -8.777, combined = 3.177e-14 rroots = 5
  543. Sat Sep 26 07:03:20 2026
  544. Sat Sep 26 07:03:20 2026 commencing linear algebra
  545. Sat Sep 26 07:03:20 2026 using VBITS=128
  546. Sat Sep 26 07:03:35 2026 matrix starts at (0, 0)
  547. Sat Sep 26 07:03:37 2026 matrix is 21179392 x 21179568 (10759.8 MB) with weight 3282938514 (155.00/col)
  548. Sat Sep 26 07:03:37 2026 sparse part has weight 2566471011 (121.18/col)
  549. Sat Sep 26 07:03:37 2026 saving the first 112 matrix rows for later
  550. Sat Sep 26 07:03:38 2026 matrix includes 128 packed rows
  551. Sat Sep 26 07:03:41 2026 matrix is 21179280 x 21179568 (9992.7 MB) with weight 2550376623 (120.42/col)
  552. Sat Sep 26 07:03:41 2026 sparse part has weight 2365360633 (111.68/col)
  553. Sat Sep 26 07:03:42 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  554. Sat Sep 26 07:03:42 2026 selected card has CUDA arch 12.0
  555. Sat Sep 26 07:03:43 2026 storing a single copy of the matrix (no transpose) on the GPU
  556. Sat Sep 26 07:03:43 2026 computed block_nnz 117106278 (L2 cache 50331648 bytes, average column weight 111.7)
  557. Sat Sep 26 07:03:43 2026 nonzeros per matrix block: 117106278
  558. Sat Sep 26 07:03:43 2026 SpMV kernel: auto (by nonzeros per row)
  559. Sat Sep 26 07:03:43 2026 GPU memory: 11015 MB free, 2262 MB for vectors, 6915 MB for sparse matrix blocks (10804 MB needed)
  560. Sat Sep 26 07:04:29 2026 streaming 11 of 21 matrix blocks (5445 MB) from pinned host memory through 3 528 MB buffers
  561. Sat Sep 26 07:04:29 2026 commencing Lanczos iteration
  562. Sat Sep 26 07:04:30 2026 memory use: 9443.1 MB
  563. Sat Sep 26 07:04:31 2026 restarting at iteration 85511 (dim = 10880073)
  564. Sat Sep 26 07:05:11 2026 checking every 30000 dimensions, checkpointing every 2310000 dimensions
  565. Sat Sep 26 07:05:19 2026 linear algebra at 51.5%, ETA 4h29m
  566. Sat Sep 26 07:49:01 2026
  567. Sat Sep 26 07:49:01 2026
  568. Sat Sep 26 07:49:01 2026 Msieve v. 1.54 (SVN unknown)
  569. Sat Sep 26 07:49:01 2026 random seeds: b9600e65 d07168fc
  570. Sat Sep 26 07:49:01 2026 Using 8 OpenMP threads
  571. Sat Sep 26 07:49:01 2026 factoring 131238716231605133010349694231762077455482255942534861516330996097002720834648908487832681838581219194343741495392314868617231288498826148720044389950939120588884608990498761947503203263669 (189 digits)
  572. Sat Sep 26 07:49:02 2026 no P-1/P+1/ECM available, skipping
  573. Sat Sep 26 07:49:02 2026 commencing number field sieve (189-digit input)
  574. Sat Sep 26 07:49:02 2026 R0: -2611203458200298742257585245816481793
  575. Sat Sep 26 07:49:02 2026 R1: 105667823379094950963359
  576. Sat Sep 26 07:49:02 2026 A0: 6109809780234513803384396556438779098235740
  577. Sat Sep 26 07:49:02 2026 A1: 2518345618494521530500000236024927155
  578. Sat Sep 26 07:49:02 2026 A2: -564050545601099211399672031531
  579. Sat Sep 26 07:49:02 2026 A3: -122894040466719411686752
  580. Sat Sep 26 07:49:02 2026 A4: 8481464588917068
  581. Sat Sep 26 07:49:02 2026 A5: 257297040
  582. Sat Sep 26 07:49:02 2026 skew 9408167.73, size 2.518e-18, alpha -8.777, combined = 3.177e-14 rroots = 5
  583. Sat Sep 26 07:49:02 2026
  584. Sat Sep 26 07:49:02 2026 commencing linear algebra
  585. Sat Sep 26 07:49:02 2026 using VBITS=128
  586. Sat Sep 26 07:49:16 2026 matrix starts at (0, 0)
  587. Sat Sep 26 07:49:18 2026 matrix is 21179392 x 21179568 (10759.8 MB) with weight 3282938514 (155.00/col)
  588. Sat Sep 26 07:49:18 2026 sparse part has weight 2566471011 (121.18/col)
  589. Sat Sep 26 07:49:18 2026 saving the first 112 matrix rows for later
  590. Sat Sep 26 07:49:20 2026 matrix includes 128 packed rows
  591. Sat Sep 26 07:49:23 2026 matrix is 21179280 x 21179568 (9992.7 MB) with weight 2550376623 (120.42/col)
  592. Sat Sep 26 07:49:23 2026 sparse part has weight 2365360633 (111.68/col)
  593. Sat Sep 26 07:49:24 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  594. Sat Sep 26 07:49:24 2026 selected card has CUDA arch 12.0
  595. Sat Sep 26 07:49:25 2026 storing a single copy of the matrix (no transpose) on the GPU
  596. Sat Sep 26 07:49:25 2026 computed block_nnz 117106278 (L2 cache 50331648 bytes, average column weight 111.7)
  597. Sat Sep 26 07:49:25 2026 nonzeros per matrix block: 117106278
  598. Sat Sep 26 07:49:25 2026 SpMV kernel: auto (by nonzeros per row)
  599. Sat Sep 26 07:49:25 2026 GPU memory: 11015 MB free, 2262 MB for vectors, 5915 MB for sparse matrix blocks (10804 MB needed)
  600. Sat Sep 26 07:50:13 2026 streaming 13 of 21 matrix blocks (6500 MB) from pinned host memory through 3 528 MB buffers
  601. Sat Sep 26 07:50:13 2026 commencing Lanczos iteration
  602. Sat Sep 26 07:50:14 2026 memory use: 8388.1 MB
  603. Sat Sep 26 07:50:15 2026 restarting at iteration 85511 (dim = 10880073)
  604. Sat Sep 26 07:51:06 2026 checking every 30000 dimensions, checkpointing every 1830000 dimensions
  605. Sat Sep 26 07:51:15 2026 linear algebra at 51.5%, ETA 5h36m
  606. Sat Sep 26 13:53:29 2026 lanczos halted after 166461 iterations (dim = 21179280)
  607. Sat Sep 26 13:53:54 2026 recovered 28 nontrivial dependencies
  608. Sat Sep 26 13:54:02 2026 BLanczosTime: 21900
  609. Sat Sep 26 13:54:02 2026
  610. Sat Sep 26 13:54:02 2026 commencing square root phase
  611. Sat Sep 26 13:54:02 2026 handling dependencies 1 to 64
  612. Sat Sep 26 13:54:02 2026 reading relations for dependency 1
  613. Sat Sep 26 13:55:00 2026 read 10587355 cycles
  614. Sat Sep 26 13:55:18 2026 cycles contain 38278784 unique relations
  615. Sat Sep 26 13:58:07 2026 read 38278784 relations
  616. Sat Sep 26 14:00:38 2026 multiplying 38278784 relations
  617. Sat Sep 26 14:06:59 2026 multiply complete, coefficients have about 2572.78 million bits
  618. Sat Sep 26 14:07:04 2026 initial square root is modulo 589357
  619. Sat Sep 26 14:16:01 2026 sqrtTime: 1319
  620. Sat Sep 26 14:16:01 2026 p69 factor: 542988238278364963292033560609378791363338909172394349441286919229251
  621. Sat Sep 26 14:16:01 2026 p120 factor: 241697162074300974751037272587450467373205974563683945983209575404411811224882941606056111751571809076960904769883082919
  622. Sat Sep 26 14:16:01 2026 elapsed time 06:27:00
  623.  
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