kyleaskine

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Feb 20th, 2026
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  1. Wed Feb 18 12:38:12 2026
  2. Wed Feb 18 12:38:12 2026
  3. Wed Feb 18 12:38:12 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Feb 18 12:38:12 2026 random seeds: 33202a8b 7b12a76c
  5. Wed Feb 18 12:38:12 2026 Using 8 OpenMP threads
  6. Wed Feb 18 12:38:12 2026 factoring 633489550820680527399954376182034981581923329265656660859327904385660494452378990427002506459773186139655323693073800035293025953162429683370915542500523933154310236750201652627169353347 (186 digits)
  7. Wed Feb 18 12:38:13 2026 no P-1/P+1/ECM available, skipping
  8. Wed Feb 18 12:38:13 2026 commencing number field sieve (186-digit input)
  9. Wed Feb 18 12:38:13 2026 R0: -838151919305802732310804217543480911
  10. Wed Feb 18 12:38:13 2026 R1: 1836594573325639713727
  11. Wed Feb 18 12:38:13 2026 A0: 2106404034966883077995872596484309366634360
  12. Wed Feb 18 12:38:13 2026 A1: 190141773896154616402561942019625218
  13. Wed Feb 18 12:38:13 2026 A2: -134830021013508968682485698047
  14. Wed Feb 18 12:38:13 2026 A3: -1914487940531541866373
  15. Wed Feb 18 12:38:13 2026 A4: 734470961188992
  16. Wed Feb 18 12:38:13 2026 A5: 3063060
  17. Wed Feb 18 12:38:13 2026 skew 1.00, size 4.134e-18, alpha -6.659, combined = 2.047e-16 rroots = 5
  18. Wed Feb 18 12:38:13 2026
  19. Wed Feb 18 12:38:13 2026 commencing relation filtering
  20. Wed Feb 18 12:38:13 2026 target densities:Wed Feb 18 12:38:13 2026 85Wed Feb 18 12:38:13 2026 100Wed Feb 18 12:38:13 2026 115Wed Feb 18 12:38:13 2026 130Wed Feb 18 12:38:13 2026
  21. Wed Feb 18 12:38:13 2026 estimated available RAM is 78540.1 MB
  22. Wed Feb 18 12:38:13 2026 commencing duplicate removal, pass 1
  23. Wed Feb 18 12:38:28 2026 error -1 reading relation 4079021
  24. Wed Feb 18 12:38:38 2026 error -1 reading relation 7034910
  25. Wed Feb 18 12:39:25 2026 error -1 reading relation 20559506
  26. Wed Feb 18 12:39:25 2026 error -1 reading relation 20644030
  27. Wed Feb 18 12:40:15 2026 error -15 reading relation 35748188
  28. Wed Feb 18 12:41:01 2026 error -1 reading relation 47058152
  29. Wed Feb 18 12:42:09 2026 error -1 reading relation 66296887
  30. Wed Feb 18 12:42:46 2026 error -15 reading relation 77058754
  31. Wed Feb 18 12:42:46 2026 error -1 reading relation 77058755
  32. Wed Feb 18 12:43:26 2026 error -1 reading relation 87621991
  33. Wed Feb 18 12:43:35 2026 error -1 reading relation 90395233
  34. Wed Feb 18 12:46:40 2026 error -1 reading relation 137007162
  35. Wed Feb 18 12:47:42 2026 error -1 reading relation 153626151
  36. Wed Feb 18 12:48:02 2026 error -1 reading relation 159056136
  37. Wed Feb 18 12:48:53 2026 error -1 reading relation 173970724
  38. Wed Feb 18 12:49:42 2026 error -1 reading relation 186442112
  39. Wed Feb 18 12:49:49 2026 error -1 reading relation 188480894
  40. Wed Feb 18 12:49:56 2026 error -15 reading relation 190214161
  41. Wed Feb 18 12:50:13 2026 error -1 reading relation 195127576
  42. Wed Feb 18 12:50:55 2026 error -1 reading relation 206565176
  43. Wed Feb 18 12:51:08 2026 error -1 reading relation 210131553
  44. Wed Feb 18 12:51:36 2026 error -1 reading relation 218001280
  45. Wed Feb 18 12:53:33 2026 error -1 reading relation 250654864
  46. Wed Feb 18 12:54:10 2026 error -1 reading relation 260916306
  47. Wed Feb 18 12:54:28 2026 error -1 reading relation 265996771
  48. Wed Feb 18 12:54:31 2026 error -1 reading relation 266697910
  49. Wed Feb 18 12:54:31 2026 error -1 reading relation 266793332
  50. Wed Feb 18 12:54:31 2026 error -1 reading relation 266905823
  51. Wed Feb 18 12:54:53 2026 error -1 reading relation 272543761
  52. Wed Feb 18 12:55:19 2026 error -6 reading relation 280221095
  53. Wed Feb 18 12:55:36 2026 error -1 reading relation 285999731
  54. Wed Feb 18 12:55:50 2026 error -1 reading relation 291933782
  55. Wed Feb 18 12:55:54 2026 error -15 reading relation 293364188
  56. Wed Feb 18 12:57:14 2026 error -1 reading relation 315532889
  57. Wed Feb 18 12:58:08 2026 error -1 reading relation 330831834
  58. Wed Feb 18 12:58:55 2026 error -1 reading relation 343422738
  59. Wed Feb 18 12:59:05 2026 error -1 reading relation 346327046
  60. Wed Feb 18 12:59:31 2026 error -15 reading relation 352312377
  61. Wed Feb 18 13:00:14 2026 error -1 reading relation 363306796
  62. Wed Feb 18 13:00:31 2026 error -1 reading relation 368120943
  63. Wed Feb 18 13:00:42 2026 error -1 reading relation 371112168
  64. Wed Feb 18 13:00:51 2026 error -1 reading relation 373660668
  65. Wed Feb 18 13:02:20 2026 error -1 reading relation 396760502
  66. Wed Feb 18 13:03:08 2026 error -1 reading relation 409727955
  67. Wed Feb 18 13:03:22 2026 error -1 reading relation 413426880
  68. Wed Feb 18 13:04:12 2026 error -1 reading relation 425843217
  69. Wed Feb 18 13:04:14 2026 error -1 reading relation 426271952
  70. Wed Feb 18 13:04:22 2026 error -1 reading relation 427851339
  71. Wed Feb 18 13:05:17 2026 error -1 reading relation 439470373
  72. Wed Feb 18 13:05:32 2026 error -1 reading relation 442873079
  73. Wed Feb 18 13:05:36 2026 error -1 reading relation 443684115
  74. Wed Feb 18 13:05:38 2026 error -1 reading relation 444102146
  75. Wed Feb 18 13:05:42 2026 error -1 reading relation 444932303
  76. Wed Feb 18 13:05:44 2026 error -1 reading relation 445277026
  77. Wed Feb 18 13:05:56 2026 error -1 reading relation 447783170
  78. Wed Feb 18 13:07:15 2026 error -1 reading relation 464402377
  79. Wed Feb 18 13:07:27 2026 error -1 reading relation 467474485
  80. Wed Feb 18 13:07:27 2026 error -1 reading relation 467477013
  81. Wed Feb 18 13:08:26 2026 error -1 reading relation 483313799
  82. Wed Feb 18 13:08:27 2026 error -1 reading relation 483674735
  83. Wed Feb 18 13:08:34 2026 error -1 reading relation 485198225
  84. Wed Feb 18 13:08:44 2026 error -1 reading relation 487585951
  85. Wed Feb 18 13:09:24 2026 error -15 reading relation 499233949
  86. Wed Feb 18 13:11:13 2026 error -15 reading relation 524364225
  87. Wed Feb 18 13:12:04 2026 error -1 reading relation 538108025
  88. Wed Feb 18 13:12:36 2026 error -1 reading relation 544983678
  89. Wed Feb 18 13:12:49 2026 error -1 reading relation 548219647
  90. Wed Feb 18 13:12:58 2026 error -1 reading relation 550285094
  91. Wed Feb 18 13:14:16 2026 error -1 reading relation 568328791
  92. Wed Feb 18 13:14:33 2026 error -1 reading relation 572523667
  93. Wed Feb 18 13:14:41 2026 error -1 reading relation 574273129
  94. Wed Feb 18 13:15:09 2026 error -1 reading relation 580671248
  95. Wed Feb 18 13:15:22 2026 error -1 reading relation 584346482
  96. Wed Feb 18 13:15:28 2026 error -1 reading relation 586056035
  97. Wed Feb 18 13:15:28 2026 error -15 reading relation 586063361
  98. Wed Feb 18 13:15:47 2026 error -1 reading relation 591579325
  99. Wed Feb 18 13:16:13 2026 error -1 reading relation 598841805
  100. Wed Feb 18 13:16:18 2026 error -1 reading relation 600317566
  101. Wed Feb 18 13:16:48 2026 error -1 reading relation 607045319
  102. Wed Feb 18 13:17:38 2026 error -1 reading relation 618489560
  103. Wed Feb 18 13:17:45 2026 error -1 reading relation 620228630
  104. Wed Feb 18 13:18:10 2026 error -5 reading relation 626432256
  105. Wed Feb 18 13:18:58 2026 error -1 reading relation 638386371
  106. Wed Feb 18 13:19:05 2026 error -1 reading relation 640282735
  107. Wed Feb 18 13:19:06 2026 error -1 reading relation 640394850
  108. Wed Feb 18 13:19:24 2026 error -1 reading relation 645053247
  109. Wed Feb 18 13:19:31 2026 error -1 reading relation 646541407
  110. Wed Feb 18 13:19:38 2026 error -1 reading relation 648281425
  111. Wed Feb 18 13:19:38 2026 error -1 reading relation 648283779
  112. Wed Feb 18 13:19:39 2026 error -15 reading relation 648349493
  113. Wed Feb 18 13:19:55 2026 error -1 reading relation 651963764
  114. Wed Feb 18 13:19:55 2026 error -1 reading relation 651963937
  115. Wed Feb 18 13:19:55 2026 error -15 reading relation 651964093
  116. Wed Feb 18 13:19:55 2026 error -15 reading relation 651964791
  117. Wed Feb 18 13:19:55 2026 error -15 reading relation 651964908
  118. Wed Feb 18 13:19:55 2026 error -15 reading relation 651965928
  119. Wed Feb 18 13:19:55 2026 error -1 reading relation 651966462
  120. Wed Feb 18 13:19:55 2026 error -15 reading relation 651966686
  121. Wed Feb 18 13:19:55 2026 error -1 reading relation 651967049
  122. Wed Feb 18 13:19:55 2026 error -15 reading relation 651967395
  123. Wed Feb 18 13:19:55 2026 error -15 reading relation 651967637
  124. Wed Feb 18 13:19:55 2026 error -15 reading relation 651967976
  125. Wed Feb 18 13:19:55 2026 error -1 reading relation 651968131
  126. Wed Feb 18 13:19:55 2026 error -1 reading relation 651968502
  127. Wed Feb 18 13:19:55 2026 error -15 reading relation 651968615
  128. Wed Feb 18 13:19:55 2026 error -1 reading relation 651968826
  129. Wed Feb 18 13:19:55 2026 error -1 reading relation 651969265
  130. Wed Feb 18 13:19:55 2026 error -1 reading relation 651970488
  131. Wed Feb 18 13:19:55 2026 error -1 reading relation 651970579
  132. Wed Feb 18 13:19:56 2026 error -1 reading relation 652204978
  133. Wed Feb 18 13:19:58 2026 error -1 reading relation 652463812
  134. Wed Feb 18 13:19:58 2026 error -1 reading relation 652485174
  135. Wed Feb 18 13:19:58 2026 error -1 reading relation 652608045
  136. Wed Feb 18 13:19:58 2026 error -1 reading relation 652620346
  137. Wed Feb 18 13:19:59 2026 error -1 reading relation 652756530
  138. Wed Feb 18 13:20:03 2026 error -1 reading relation 653734717
  139. Wed Feb 18 13:20:05 2026 error -1 reading relation 654278755
  140. Wed Feb 18 13:20:06 2026 error -1 reading relation 654398887
  141. Wed Feb 18 13:20:11 2026 error -1 reading relation 655614378
  142. Wed Feb 18 13:20:28 2026 error -1 reading relation 659641182
  143. Wed Feb 18 13:20:48 2026 skipped 10 relations with composite factors
  144. Wed Feb 18 13:20:48 2026 skipped 799 malformed relations
  145. Wed Feb 18 13:20:48 2026 found 139607783 hash collisions in 664883884 relations
  146. Wed Feb 18 13:21:08 2026 added 121791 free relations
  147. Wed Feb 18 13:21:08 2026 commencing duplicate removal, pass 2
  148. Wed Feb 18 13:36:28 2026 found 151215056 duplicates and 513790619 unique relations
  149. Wed Feb 18 13:36:28 2026 memory use: 3411.0 MB
  150. Wed Feb 18 13:36:28 2026 reading ideals above 281083904
  151. Wed Feb 18 13:36:28 2026 commencing singleton removal, initial pass
  152. Wed Feb 18 14:23:45 2026 memory use: 11024.0 MB
  153. Wed Feb 18 14:23:45 2026 reading all ideals from disk
  154. Wed Feb 18 14:24:31 2026 memory use: 13305.9 MB
  155. Wed Feb 18 14:25:06 2026 commencing in-memory singleton removal
  156. Wed Feb 18 14:25:11 2026 begin with 513790619 relations and 443762706 unique ideals
  157. Wed Feb 18 14:26:00 2026 reduce to 317664574 relations and 226963024 ideals in 15 passes
  158. Wed Feb 18 14:26:00 2026 max relations containing the same ideal: 32
  159. Wed Feb 18 14:26:09 2026 reading ideals above 720000
  160. Wed Feb 18 14:26:10 2026 commencing singleton removal, initial pass
  161. Wed Feb 18 14:56:49 2026 memory use: 6024.0 MB
  162. Wed Feb 18 14:56:50 2026 reading all ideals from disk
  163. Wed Feb 18 14:57:51 2026 memory use: 15710.2 MB
  164. Wed Feb 18 14:58:20 2026 keeping 255880559 ideals with weight <= 200, target excess is 1641063
  165. Wed Feb 18 14:58:54 2026 commencing in-memory singleton removal
  166. Wed Feb 18 14:59:00 2026 begin with 317664574 relations and 255880559 unique ideals
  167. Wed Feb 18 14:59:31 2026 reduce to 317657083 relations and 255873068 ideals in 7 passes
  168. Wed Feb 18 14:59:31 2026 max relations containing the same ideal: 200
  169. Wed Feb 18 15:01:39 2026 removing 13944995 relations and 11944995 ideals in 2000000 cliques
  170. Wed Feb 18 15:01:46 2026 commencing in-memory singleton removal
  171. Wed Feb 18 15:01:52 2026 begin with 303712088 relations and 255873068 unique ideals
  172. Wed Feb 18 15:02:28 2026 reduce to 303264106 relations and 243476196 ideals in 8 passes
  173. Wed Feb 18 15:02:28 2026 max relations containing the same ideal: 200
  174. Wed Feb 18 15:04:26 2026 removing 10511673 relations and 8511673 ideals in 2000000 cliques
  175. Wed Feb 18 15:04:32 2026 commencing in-memory singleton removal
  176. Wed Feb 18 15:04:37 2026 begin with 292752433 relations and 243476196 unique ideals
  177. Wed Feb 18 15:05:05 2026 reduce to 292468508 relations and 234678514 ideals in 7 passes
  178. Wed Feb 18 15:05:05 2026 max relations containing the same ideal: 199
  179. Wed Feb 18 15:06:57 2026 removing 9419629 relations and 7419629 ideals in 2000000 cliques
  180. Wed Feb 18 15:07:03 2026 commencing in-memory singleton removal
  181. Wed Feb 18 15:07:08 2026 begin with 283048879 relations and 234678514 unique ideals
  182. Wed Feb 18 15:07:37 2026 reduce to 282807528 relations and 227015766 ideals in 7 passes
  183. Wed Feb 18 15:07:37 2026 max relations containing the same ideal: 195
  184. Wed Feb 18 15:09:25 2026 removing 8804142 relations and 6804142 ideals in 2000000 cliques
  185. Wed Feb 18 15:09:30 2026 commencing in-memory singleton removal
  186. Wed Feb 18 15:09:35 2026 begin with 274003386 relations and 227015766 unique ideals
  187. Wed Feb 18 15:10:07 2026 reduce to 273783232 relations and 219989913 ideals in 8 passes
  188. Wed Feb 18 15:10:07 2026 max relations containing the same ideal: 192
  189. Wed Feb 18 15:11:55 2026 removing 8399014 relations and 6399014 ideals in 2000000 cliques
  190. Wed Feb 18 15:12:00 2026 commencing in-memory singleton removal
  191. Wed Feb 18 15:12:04 2026 begin with 265384218 relations and 219989913 unique ideals
  192. Wed Feb 18 15:12:31 2026 reduce to 265174218 relations and 213379460 ideals in 7 passes
  193. Wed Feb 18 15:12:31 2026 max relations containing the same ideal: 188
  194. Wed Feb 18 15:14:11 2026 removing 8099966 relations and 6099966 ideals in 2000000 cliques
  195. Wed Feb 18 15:14:16 2026 commencing in-memory singleton removal
  196. Wed Feb 18 15:14:20 2026 begin with 257074252 relations and 213379460 unique ideals
  197. Wed Feb 18 15:14:42 2026 reduce to 256873799 relations and 207077582 ideals in 6 passes
  198. Wed Feb 18 15:14:42 2026 max relations containing the same ideal: 184
  199. Wed Feb 18 15:16:23 2026 removing 7878399 relations and 5878399 ideals in 2000000 cliques
  200. Wed Feb 18 15:16:27 2026 commencing in-memory singleton removal
  201. Wed Feb 18 15:16:32 2026 begin with 248995400 relations and 207077582 unique ideals
  202. Wed Feb 18 15:16:57 2026 reduce to 248800560 relations and 201002850 ideals in 7 passes
  203. Wed Feb 18 15:16:57 2026 max relations containing the same ideal: 181
  204. Wed Feb 18 15:18:32 2026 removing 7707525 relations and 5707525 ideals in 2000000 cliques
  205. Wed Feb 18 15:18:37 2026 commencing in-memory singleton removal
  206. Wed Feb 18 15:18:41 2026 begin with 241093035 relations and 201002850 unique ideals
  207. Wed Feb 18 15:19:04 2026 reduce to 240900859 relations and 195101686 ideals in 7 passes
  208. Wed Feb 18 15:19:04 2026 max relations containing the same ideal: 180
  209. Wed Feb 18 15:20:40 2026 removing 7567797 relations and 5567797 ideals in 2000000 cliques
  210. Wed Feb 18 15:20:45 2026 commencing in-memory singleton removal
  211. Wed Feb 18 15:20:49 2026 begin with 233333062 relations and 195101686 unique ideals
  212. Wed Feb 18 15:21:11 2026 reduce to 233141703 relations and 189341059 ideals in 6 passes
  213. Wed Feb 18 15:21:11 2026 max relations containing the same ideal: 177
  214. Wed Feb 18 15:22:53 2026 removing 7459303 relations and 5459303 ideals in 2000000 cliques
  215. Wed Feb 18 15:22:57 2026 commencing in-memory singleton removal
  216. Wed Feb 18 15:23:02 2026 begin with 225682400 relations and 189341059 unique ideals
  217. Wed Feb 18 15:23:23 2026 reduce to 225490026 relations and 183687859 ideals in 6 passes
  218. Wed Feb 18 15:23:23 2026 max relations containing the same ideal: 173
  219. Wed Feb 18 15:24:54 2026 removing 7373362 relations and 5373362 ideals in 2000000 cliques
  220. Wed Feb 18 15:24:58 2026 commencing in-memory singleton removal
  221. Wed Feb 18 15:25:03 2026 begin with 218116664 relations and 183687859 unique ideals
  222. Wed Feb 18 15:25:25 2026 reduce to 217922850 relations and 178119069 ideals in 7 passes
  223. Wed Feb 18 15:25:25 2026 max relations containing the same ideal: 170
  224. Wed Feb 18 15:27:00 2026 removing 7301170 relations and 5301170 ideals in 2000000 cliques
  225. Wed Feb 18 15:27:05 2026 commencing in-memory singleton removal
  226. Wed Feb 18 15:27:08 2026 begin with 210621680 relations and 178119069 unique ideals
  227. Wed Feb 18 15:27:27 2026 reduce to 210426229 relations and 172620754 ideals in 6 passes
  228. Wed Feb 18 15:27:27 2026 max relations containing the same ideal: 165
  229. Wed Feb 18 15:28:51 2026 removing 7244954 relations and 5244954 ideals in 2000000 cliques
  230. Wed Feb 18 15:28:55 2026 commencing in-memory singleton removal
  231. Wed Feb 18 15:28:59 2026 begin with 203181275 relations and 172620754 unique ideals
  232. Wed Feb 18 15:29:20 2026 reduce to 202983658 relations and 167176312 ideals in 7 passes
  233. Wed Feb 18 15:29:20 2026 max relations containing the same ideal: 164
  234. Wed Feb 18 15:30:42 2026 removing 7200734 relations and 5200734 ideals in 2000000 cliques
  235. Wed Feb 18 15:30:46 2026 commencing in-memory singleton removal
  236. Wed Feb 18 15:30:50 2026 begin with 195782924 relations and 167176312 unique ideals
  237. Wed Feb 18 15:31:13 2026 reduce to 195580286 relations and 161770938 ideals in 7 passes
  238. Wed Feb 18 15:31:13 2026 max relations containing the same ideal: 161
  239. Wed Feb 18 15:32:35 2026 removing 7165781 relations and 5165781 ideals in 2000000 cliques
  240. Wed Feb 18 15:32:39 2026 commencing in-memory singleton removal
  241. Wed Feb 18 15:32:42 2026 begin with 188414505 relations and 161770938 unique ideals
  242. Wed Feb 18 15:33:01 2026 reduce to 188205900 relations and 156394521 ideals in 7 passes
  243. Wed Feb 18 15:33:01 2026 max relations containing the same ideal: 155
  244. Wed Feb 18 15:34:18 2026 removing 7139849 relations and 5139849 ideals in 2000000 cliques
  245. Wed Feb 18 15:34:22 2026 commencing in-memory singleton removal
  246. Wed Feb 18 15:34:25 2026 begin with 181066051 relations and 156394521 unique ideals
  247. Wed Feb 18 15:34:45 2026 reduce to 180850699 relations and 151037151 ideals in 7 passes
  248. Wed Feb 18 15:34:45 2026 max relations containing the same ideal: 149
  249. Wed Feb 18 15:36:03 2026 removing 7130525 relations and 5130525 ideals in 2000000 cliques
  250. Wed Feb 18 15:36:07 2026 commencing in-memory singleton removal
  251. Wed Feb 18 15:36:11 2026 begin with 173720174 relations and 151037151 unique ideals
  252. Wed Feb 18 15:36:30 2026 reduce to 173498695 relations and 145682761 ideals in 7 passes
  253. Wed Feb 18 15:36:30 2026 max relations containing the same ideal: 145
  254. Wed Feb 18 15:37:44 2026 removing 7123270 relations and 5123270 ideals in 2000000 cliques
  255. Wed Feb 18 15:37:47 2026 commencing in-memory singleton removal
  256. Wed Feb 18 15:37:50 2026 begin with 166375425 relations and 145682761 unique ideals
  257. Wed Feb 18 15:38:05 2026 reduce to 166146472 relations and 140328012 ideals in 6 passes
  258. Wed Feb 18 15:38:05 2026 max relations containing the same ideal: 140
  259. Wed Feb 18 15:39:14 2026 removing 7123847 relations and 5123847 ideals in 2000000 cliques
  260. Wed Feb 18 15:39:17 2026 commencing in-memory singleton removal
  261. Wed Feb 18 15:39:20 2026 begin with 159022625 relations and 140328012 unique ideals
  262. Wed Feb 18 15:39:36 2026 reduce to 158783378 relations and 134962135 ideals in 7 passes
  263. Wed Feb 18 15:39:36 2026 max relations containing the same ideal: 135
  264. Wed Feb 18 15:40:44 2026 removing 7135533 relations and 5135533 ideals in 2000000 cliques
  265. Wed Feb 18 15:40:47 2026 commencing in-memory singleton removal
  266. Wed Feb 18 15:40:50 2026 begin with 151647845 relations and 134962135 unique ideals
  267. Wed Feb 18 15:41:06 2026 reduce to 151397788 relations and 129573576 ideals in 7 passes
  268. Wed Feb 18 15:41:06 2026 max relations containing the same ideal: 131
  269. Wed Feb 18 15:42:12 2026 removing 7157587 relations and 5157587 ideals in 2000000 cliques
  270. Wed Feb 18 15:42:15 2026 commencing in-memory singleton removal
  271. Wed Feb 18 15:42:18 2026 begin with 144240201 relations and 129573576 unique ideals
  272. Wed Feb 18 15:42:33 2026 reduce to 143975711 relations and 124148254 ideals in 7 passes
  273. Wed Feb 18 15:42:33 2026 max relations containing the same ideal: 128
  274. Wed Feb 18 15:43:37 2026 removing 7189333 relations and 5189333 ideals in 2000000 cliques
  275. Wed Feb 18 15:43:40 2026 commencing in-memory singleton removal
  276. Wed Feb 18 15:43:42 2026 begin with 136786378 relations and 124148254 unique ideals
  277. Wed Feb 18 15:43:57 2026 reduce to 136508304 relations and 118677271 ideals in 7 passes
  278. Wed Feb 18 15:43:57 2026 max relations containing the same ideal: 123
  279. Wed Feb 18 15:44:58 2026 removing 7226854 relations and 5226854 ideals in 2000000 cliques
  280. Wed Feb 18 15:45:01 2026 commencing in-memory singleton removal
  281. Wed Feb 18 15:45:03 2026 begin with 129281450 relations and 118677271 unique ideals
  282. Wed Feb 18 15:45:17 2026 reduce to 128985276 relations and 113150318 ideals in 7 passes
  283. Wed Feb 18 15:45:17 2026 max relations containing the same ideal: 119
  284. Wed Feb 18 15:46:16 2026 removing 7278050 relations and 5278050 ideals in 2000000 cliques
  285. Wed Feb 18 15:46:19 2026 commencing in-memory singleton removal
  286. Wed Feb 18 15:46:21 2026 begin with 121707226 relations and 113150318 unique ideals
  287. Wed Feb 18 15:46:37 2026 reduce to 121390189 relations and 107550765 ideals in 8 passes
  288. Wed Feb 18 15:46:37 2026 max relations containing the same ideal: 116
  289. Wed Feb 18 15:47:32 2026 removing 7342116 relations and 5342116 ideals in 2000000 cliques
  290. Wed Feb 18 15:47:35 2026 commencing in-memory singleton removal
  291. Wed Feb 18 15:47:37 2026 begin with 114048073 relations and 107550765 unique ideals
  292. Wed Feb 18 15:47:48 2026 reduce to 113704796 relations and 101860218 ideals in 7 passes
  293. Wed Feb 18 15:47:48 2026 max relations containing the same ideal: 110
  294. Wed Feb 18 15:48:35 2026 removing 7421749 relations and 5421749 ideals in 2000000 cliques
  295. Wed Feb 18 15:48:37 2026 commencing in-memory singleton removal
  296. Wed Feb 18 15:48:39 2026 begin with 106283047 relations and 101860218 unique ideals
  297. Wed Feb 18 15:48:50 2026 reduce to 105907052 relations and 96056693 ideals in 8 passes
  298. Wed Feb 18 15:48:50 2026 max relations containing the same ideal: 108
  299. Wed Feb 18 15:49:35 2026 removing 7519671 relations and 5519671 ideals in 2000000 cliques
  300. Wed Feb 18 15:49:38 2026 commencing in-memory singleton removal
  301. Wed Feb 18 15:49:40 2026 begin with 98387381 relations and 96056693 unique ideals
  302. Wed Feb 18 15:49:50 2026 reduce to 97972149 relations and 90115078 ideals in 8 passes
  303. Wed Feb 18 15:49:50 2026 max relations containing the same ideal: 104
  304. Wed Feb 18 15:50:32 2026 removing 7635334 relations and 5635334 ideals in 2000000 cliques
  305. Wed Feb 18 15:50:34 2026 commencing in-memory singleton removal
  306. Wed Feb 18 15:50:36 2026 begin with 90336815 relations and 90115078 unique ideals
  307. Wed Feb 18 15:50:46 2026 reduce to 89876110 relations and 84011012 ideals in 8 passes
  308. Wed Feb 18 15:50:46 2026 max relations containing the same ideal: 93
  309. Wed Feb 18 15:51:28 2026 removing 7774803 relations and 5774803 ideals in 2000000 cliques
  310. Wed Feb 18 15:51:30 2026 commencing in-memory singleton removal
  311. Wed Feb 18 15:51:32 2026 begin with 82101307 relations and 84011012 unique ideals
  312. Wed Feb 18 15:51:41 2026 reduce to 81572417 relations and 77697493 ideals in 8 passes
  313. Wed Feb 18 15:51:41 2026 max relations containing the same ideal: 87
  314. Wed Feb 18 15:52:19 2026 removing 7856617 relations and 5885327 ideals in 1971290 cliques
  315. Wed Feb 18 15:52:21 2026 commencing in-memory singleton removal
  316. Wed Feb 18 15:52:23 2026 begin with 73715800 relations and 77697493 unique ideals
  317. Wed Feb 18 15:52:31 2026 reduce to 73117634 relations and 71201988 ideals in 8 passes
  318. Wed Feb 18 15:52:31 2026 max relations containing the same ideal: 81
  319. Wed Feb 18 15:53:04 2026 removing 106841 relations and 94829 ideals in 12012 cliques
  320. Wed Feb 18 15:53:06 2026 commencing in-memory singleton removal
  321. Wed Feb 18 15:53:07 2026 begin with 73010793 relations and 71201988 unique ideals
  322. Wed Feb 18 15:53:11 2026 reduce to 73010723 relations and 71107089 ideals in 4 passes
  323. Wed Feb 18 15:53:11 2026 max relations containing the same ideal: 81
  324. Wed Feb 18 15:53:18 2026 relations with 0 large ideals: 5839
  325. Wed Feb 18 15:53:18 2026 relations with 1 large ideals: 30027
  326. Wed Feb 18 15:53:18 2026 relations with 2 large ideals: 436499
  327. Wed Feb 18 15:53:18 2026 relations with 3 large ideals: 2664729
  328. Wed Feb 18 15:53:18 2026 relations with 4 large ideals: 8673662
  329. Wed Feb 18 15:53:18 2026 relations with 5 large ideals: 16721709
  330. Wed Feb 18 15:53:18 2026 relations with 6 large ideals: 20058539
  331. Wed Feb 18 15:53:18 2026 relations with 7+ large ideals: 24419719
  332. Wed Feb 18 15:53:18 2026 commencing 2-way merge
  333. Wed Feb 18 15:54:06 2026 reduce to 44875815 relation sets and 42972181 unique ideals
  334. Wed Feb 18 15:54:11 2026
  335. trying target density 85
  336. Wed Feb 18 15:54:11 2026 commencing full merge
  337. Wed Feb 18 16:06:22 2026 memory use: 5040.0 MB
  338. Wed Feb 18 16:06:28 2026 found 22942339 cycles, need 22682381
  339. Wed Feb 18 16:06:36 2026 weight of 22682381 cycles is about 1928238442 (85.01/cycle)
  340. Wed Feb 18 16:06:36 2026 distribution of cycle lengths:
  341. Wed Feb 18 16:06:36 2026 1 relations: 2441427
  342. Wed Feb 18 16:06:36 2026 2 relations: 2308295
  343. Wed Feb 18 16:06:36 2026 3 relations: 2394548
  344. Wed Feb 18 16:06:36 2026 4 relations: 2326588
  345. Wed Feb 18 16:06:36 2026 5 relations: 2295712
  346. Wed Feb 18 16:06:36 2026 6 relations: 2111309
  347. Wed Feb 18 16:06:36 2026 7 relations: 1911875
  348. Wed Feb 18 16:06:36 2026 8 relations: 1654882
  349. Wed Feb 18 16:06:36 2026 9 relations: 1377570
  350. Wed Feb 18 16:06:36 2026 10+ relations: 3860175
  351. Wed Feb 18 16:06:36 2026 heaviest cycle: 20 relations
  352. Wed Feb 18 16:06:43 2026 target density 85 succeeded, avg weight 85.01
  353. Wed Feb 18 16:06:44 2026 commencing cycle optimization
  354. Wed Feb 18 16:07:23 2026 start with 132981856 relations
  355. Wed Feb 18 16:10:48 2026 pruned 3543358 relations
  356. Wed Feb 18 16:10:51 2026 memory use: 4347.4 MB
  357. Wed Feb 18 16:10:51 2026 distribution of cycle lengths:
  358. Wed Feb 18 16:10:51 2026 1 relations: 2441427
  359. Wed Feb 18 16:10:51 2026 2 relations: 2361309
  360. Wed Feb 18 16:10:51 2026 3 relations: 2478370
  361. Wed Feb 18 16:10:51 2026 4 relations: 2394437
  362. Wed Feb 18 16:10:51 2026 5 relations: 2367769
  363. Wed Feb 18 16:10:51 2026 6 relations: 2165427
  364. Wed Feb 18 16:10:51 2026 7 relations: 1954912
  365. Wed Feb 18 16:10:51 2026 8 relations: 1668159
  366. Wed Feb 18 16:10:51 2026 9 relations: 1371366
  367. Wed Feb 18 16:10:51 2026 10+ relations: 3479205
  368. Wed Feb 18 16:10:51 2026 heaviest cycle: 20 relations
  369. Wed Feb 18 16:11:45 2026
  370. trying target density 100
  371. Wed Feb 18 16:11:45 2026 commencing full merge
  372. Wed Feb 18 16:25:17 2026 memory use: 5154.1 MB
  373. Wed Feb 18 16:25:24 2026 found 21644994 cycles, need 21400381
  374. Wed Feb 18 16:25:33 2026 weight of 21400381 cycles is about 2140137871 (100.00/cycle)
  375. Wed Feb 18 16:25:33 2026 distribution of cycle lengths:
  376. Wed Feb 18 16:25:33 2026 1 relations: 1890086
  377. Wed Feb 18 16:25:33 2026 2 relations: 1818730
  378. Wed Feb 18 16:25:33 2026 3 relations: 1901977
  379. Wed Feb 18 16:25:33 2026 4 relations: 1872130
  380. Wed Feb 18 16:25:33 2026 5 relations: 1884185
  381. Wed Feb 18 16:25:33 2026 6 relations: 1806919
  382. Wed Feb 18 16:25:33 2026 7 relations: 1716523
  383. Wed Feb 18 16:25:33 2026 8 relations: 1562851
  384. Wed Feb 18 16:25:33 2026 9 relations: 1393599
  385. Wed Feb 18 16:25:33 2026 10+ relations: 5553381
  386. Wed Feb 18 16:25:33 2026 heaviest cycle: 23 relations
  387. Wed Feb 18 16:25:38 2026 target density 100 succeeded, avg weight 100.00
  388. Wed Feb 18 16:25:39 2026 commencing cycle optimization
  389. Wed Feb 18 16:26:21 2026 start with 147283580 relations
  390. Wed Feb 18 16:30:46 2026 pruned 4798802 relations
  391. Wed Feb 18 16:30:48 2026 memory use: 4495.8 MB
  392. Wed Feb 18 16:30:49 2026 distribution of cycle lengths:
  393. Wed Feb 18 16:30:49 2026 1 relations: 1890086
  394. Wed Feb 18 16:30:49 2026 2 relations: 1862397
  395. Wed Feb 18 16:30:49 2026 3 relations: 1972250
  396. Wed Feb 18 16:30:49 2026 4 relations: 1935034
  397. Wed Feb 18 16:30:49 2026 5 relations: 1956111
  398. Wed Feb 18 16:30:49 2026 6 relations: 1869569
  399. Wed Feb 18 16:30:49 2026 7 relations: 1775403
  400. Wed Feb 18 16:30:49 2026 8 relations: 1604309
  401. Wed Feb 18 16:30:49 2026 9 relations: 1419641
  402. Wed Feb 18 16:30:49 2026 10+ relations: 5115581
  403. Wed Feb 18 16:30:49 2026 heaviest cycle: 23 relations
  404. Wed Feb 18 16:31:38 2026
  405. trying target density 115
  406. Wed Feb 18 16:31:38 2026 commencing full merge
  407. Wed Feb 18 16:47:19 2026 memory use: 5244.5 MB
  408. Wed Feb 18 16:47:25 2026 found 20619484 cycles, need 20422381
  409. Wed Feb 18 16:47:32 2026 weight of 20422381 cycles is about 2349159884 (115.03/cycle)
  410. Wed Feb 18 16:47:32 2026 distribution of cycle lengths:
  411. Wed Feb 18 16:47:32 2026 1 relations: 1442124
  412. Wed Feb 18 16:47:32 2026 2 relations: 1501254
  413. Wed Feb 18 16:47:32 2026 3 relations: 1587581
  414. Wed Feb 18 16:47:32 2026 4 relations: 1568909
  415. Wed Feb 18 16:47:32 2026 5 relations: 1575985
  416. Wed Feb 18 16:47:32 2026 6 relations: 1565990
  417. Wed Feb 18 16:47:32 2026 7 relations: 1504258
  418. Wed Feb 18 16:47:32 2026 8 relations: 1430243
  419. Wed Feb 18 16:47:32 2026 9 relations: 1325843
  420. Wed Feb 18 16:47:32 2026 10+ relations: 6920194
  421. Wed Feb 18 16:47:32 2026 heaviest cycle: 27 relations
  422. Wed Feb 18 16:47:38 2026 target density 115 succeeded, avg weight 115.03
  423. Wed Feb 18 16:47:38 2026 commencing cycle optimization
  424. Wed Feb 18 16:48:31 2026 start with 161223770 relations
  425. Wed Feb 18 16:56:22 2026 pruned 6108606 relations
  426. Wed Feb 18 16:56:22 2026 memory use: 4640.7 MB
  427. Wed Feb 18 16:56:23 2026 distribution of cycle lengths:
  428. Wed Feb 18 16:56:23 2026 1 relations: 1442124
  429. Wed Feb 18 16:56:23 2026 2 relations: 1538276
  430. Wed Feb 18 16:56:23 2026 3 relations: 1648289
  431. Wed Feb 18 16:56:23 2026 4 relations: 1625721
  432. Wed Feb 18 16:56:23 2026 5 relations: 1644478
  433. Wed Feb 18 16:56:23 2026 6 relations: 1627158
  434. Wed Feb 18 16:56:23 2026 7 relations: 1569054
  435. Wed Feb 18 16:56:23 2026 8 relations: 1484257
  436. Wed Feb 18 16:56:23 2026 9 relations: 1370874
  437. Wed Feb 18 16:56:23 2026 10+ relations: 6472150
  438. Wed Feb 18 16:56:23 2026 heaviest cycle: 26 relations
  439. Wed Feb 18 16:57:33 2026
  440. trying target density 130
  441. Wed Feb 18 16:57:33 2026 commencing full merge
  442. Wed Feb 18 17:20:33 2026 memory use: 5308.9 MB
  443. Wed Feb 18 17:20:39 2026 found 19737940 cycles, need 19642381
  444. Wed Feb 18 17:20:45 2026 weight of 19642381 cycles is about 2554187987 (130.03/cycle)
  445. Wed Feb 18 17:20:45 2026 distribution of cycle lengths:
  446. Wed Feb 18 17:20:45 2026 1 relations: 1144792
  447. Wed Feb 18 17:20:45 2026 2 relations: 1252715
  448. Wed Feb 18 17:20:45 2026 3 relations: 1338356
  449. Wed Feb 18 17:20:45 2026 4 relations: 1338521
  450. Wed Feb 18 17:20:45 2026 5 relations: 1364029
  451. Wed Feb 18 17:20:45 2026 6 relations: 1343907
  452. Wed Feb 18 17:20:45 2026 7 relations: 1343478
  453. Wed Feb 18 17:20:45 2026 8 relations: 1282864
  454. Wed Feb 18 17:20:45 2026 9 relations: 1229716
  455. Wed Feb 18 17:20:45 2026 10+ relations: 8004003
  456. Wed Feb 18 17:20:45 2026 heaviest cycle: 28 relations
  457. Wed Feb 18 17:20:50 2026 target density 130 succeeded, avg weight 130.03
  458. Wed Feb 18 17:20:51 2026 commencing cycle optimization
  459. Wed Feb 18 17:21:35 2026 start with 174820233 relations
  460. Wed Feb 18 17:28:19 2026 pruned 7490494 relations
  461. Wed Feb 18 17:28:19 2026 memory use: 4777.8 MB
  462. Wed Feb 18 17:28:19 2026 distribution of cycle lengths:
  463. Wed Feb 18 17:28:19 2026 1 relations: 1144792
  464. Wed Feb 18 17:28:19 2026 2 relations: 1284232
  465. Wed Feb 18 17:28:19 2026 3 relations: 1390642
  466. Wed Feb 18 17:28:19 2026 4 relations: 1390131
  467. Wed Feb 18 17:28:19 2026 5 relations: 1426317
  468. Wed Feb 18 17:28:19 2026 6 relations: 1404254
  469. Wed Feb 18 17:28:19 2026 7 relations: 1407345
  470. Wed Feb 18 17:28:19 2026 8 relations: 1342798
  471. Wed Feb 18 17:28:19 2026 9 relations: 1283523
  472. Wed Feb 18 17:28:19 2026 10+ relations: 7568347
  473. Wed Feb 18 17:28:19 2026 heaviest cycle: 28 relations
  474. Wed Feb 18 17:29:05 2026 RelProcTime: 17452
  475. Wed Feb 18 17:29:05 2026 elapsed time 04:50:53
  476. Wed Feb 18 19:05:48 2026
  477. Wed Feb 18 19:05:48 2026
  478. Wed Feb 18 19:05:48 2026 Msieve v. 1.54 (SVN Unversioned directory)
  479. Wed Feb 18 19:05:48 2026 random seeds: 31db7b2e a2d10bd1
  480. Wed Feb 18 19:05:48 2026 Using 8 OpenMP threads
  481. Wed Feb 18 19:05:48 2026 factoring 633489550820680527399954376182034981581923329265656660859327904385660494452378990427002506459773186139655323693073800035293025953162429683370915542500523933154310236750201652627169353347 (186 digits)
  482. Wed Feb 18 19:05:48 2026 no P-1/P+1/ECM available, skipping
  483. Wed Feb 18 19:05:48 2026 commencing number field sieve (186-digit input)
  484. Wed Feb 18 19:05:49 2026 R0: -838151919305802732310804217543480911
  485. Wed Feb 18 19:05:49 2026 R1: 1836594573325639713727
  486. Wed Feb 18 19:05:49 2026 A0: 2106404034966883077995872596484309366634360
  487. Wed Feb 18 19:05:49 2026 A1: 190141773896154616402561942019625218
  488. Wed Feb 18 19:05:49 2026 A2: -134830021013508968682485698047
  489. Wed Feb 18 19:05:49 2026 A3: -1914487940531541866373
  490. Wed Feb 18 19:05:49 2026 A4: 734470961188992
  491. Wed Feb 18 19:05:49 2026 A5: 3063060
  492. Wed Feb 18 19:05:49 2026 skew 1.00, size 4.134e-18, alpha -6.659, combined = 2.047e-16 rroots = 5
  493. Wed Feb 18 19:05:49 2026
  494. Wed Feb 18 19:05:49 2026 commencing linear algebra
  495. Wed Feb 18 19:05:49 2026 using VBITS=256
  496. Wed Feb 18 19:05:49 2026 building matrices for all .cyc.## files
  497. Wed Feb 18 19:05:49 2026
  498. building matrix for density 100
  499. Wed Feb 18 19:05:54 2026 read 21400381 cycles
  500. Wed Feb 18 19:06:24 2026 cycles contain 71810674 unique relations
  501. Wed Feb 18 19:19:25 2026 read 71810674 relations
  502. Wed Feb 18 19:19:50 2026 using 20 quadratic characters above 4294917295
  503. Wed Feb 18 19:20:22 2026 building initial matrix
  504. Wed Feb 18 19:36:31 2026 memory use: 10081.9 MB
  505. Wed Feb 18 19:36:48 2026 read 21400381 cycles
  506. Wed Feb 18 19:36:52 2026 matrix is 21400201 x 21400381 (8668.6 MB) with weight 2642975780 (123.50/col)
  507. Wed Feb 18 19:36:52 2026 sparse part has weight 2037027738 (95.19/col)
  508. Wed Feb 18 19:44:49 2026 filtering completed in 2 passes
  509. Wed Feb 18 19:44:58 2026 matrix is 21396412 x 21396592 (8668.3 MB) with weight 2642819577 (123.52/col)
  510. Wed Feb 18 19:44:58 2026 sparse part has weight 2036979743 (95.20/col)
  511. Wed Feb 18 19:46:24 2026
  512. building matrix for density 115
  513. Wed Feb 18 19:46:27 2026 read 20422381 cycles
  514. Wed Feb 18 19:47:26 2026 cycles contain 71823509 unique relations
  515. Wed Feb 18 20:00:25 2026 read 71823509 relations
  516. Wed Feb 18 20:00:57 2026 using 20 quadratic characters above 4294917295
  517. Wed Feb 18 20:01:27 2026 building initial matrix
  518. Wed Feb 18 20:18:17 2026 memory use: 9789.2 MB
  519. Wed Feb 18 20:18:57 2026 read 20422381 cycles
  520. Wed Feb 18 20:19:03 2026 matrix is 20422203 x 20422381 (9297.8 MB) with weight 2815079377 (137.84/col)
  521. Wed Feb 18 20:19:03 2026 sparse part has weight 2212716128 (108.35/col)
  522. Wed Feb 18 20:23:35 2026 filtering completed in 2 passes
  523. Wed Feb 18 20:23:44 2026 matrix is 20420208 x 20420386 (9297.6 MB) with weight 2814985433 (137.85/col)
  524. Wed Feb 18 20:23:44 2026 sparse part has weight 2212682752 (108.36/col)
  525. Wed Feb 18 20:24:52 2026
  526. building matrix for density 130
  527. Wed Feb 18 20:24:56 2026 read 19642381 cycles
  528. Wed Feb 18 20:25:44 2026 cycles contain 71826931 unique relations
  529. Wed Feb 18 20:40:57 2026 read 71826931 relations
  530. Wed Feb 18 20:41:45 2026 using 20 quadratic characters above 4294917295
  531. Wed Feb 18 20:42:29 2026 building initial matrix
  532. Wed Feb 18 21:04:34 2026 memory use: 9812.5 MB
  533. Wed Feb 18 21:05:16 2026 read 19642381 cycles
  534. Wed Feb 18 21:05:20 2026 matrix is 19642202 x 19642381 (9910.4 MB) with weight 2981876277 (151.81/col)
  535. Wed Feb 18 21:05:20 2026 sparse part has weight 2381897666 (121.26/col)
  536. Wed Feb 18 21:10:50 2026 filtering completed in 2 passes
  537. Wed Feb 18 21:10:57 2026 matrix is 19641482 x 19641660 (9910.4 MB) with weight 2981841953 (151.81/col)
  538. Wed Feb 18 21:10:57 2026 sparse part has weight 2381886686 (121.27/col)
  539. Wed Feb 18 21:12:03 2026
  540. building matrix for density 85
  541. Wed Feb 18 21:12:07 2026 read 22682381 cycles
  542. Wed Feb 18 21:12:50 2026 cycles contain 71783467 unique relations
  543. Wed Feb 18 21:24:19 2026 read 71783467 relations
  544. Wed Feb 18 21:24:56 2026 using 20 quadratic characters above 4294917295
  545. Wed Feb 18 21:25:45 2026 building initial matrix
  546. Wed Feb 18 21:39:25 2026 memory use: 10068.1 MB
  547. Wed Feb 18 21:39:53 2026 read 22682381 cycles
  548. Wed Feb 18 21:39:56 2026 matrix is 22682200 x 22682381 (8036.6 MB) with weight 2469130450 (108.86/col)
  549. Wed Feb 18 21:39:56 2026 sparse part has weight 1857238885 (81.88/col)
  550. Wed Feb 18 21:43:07 2026 filtering completed in 2 passes
  551. Wed Feb 18 21:43:12 2026 matrix is 22675132 x 22675312 (8036.0 MB) with weight 2468872758 (108.88/col)
  552. Wed Feb 18 21:43:12 2026 sparse part has weight 1857167950 (81.90/col)
  553. Wed Feb 18 21:43:56 2026 BLanczosTime: 9487
  554. Wed Feb 18 21:43:56 2026 elapsed time 02:38:08
  555. Wed Feb 18 21:47:13 2026
  556. Wed Feb 18 21:47:13 2026
  557. Wed Feb 18 21:47:13 2026 Msieve v. 1.54 (SVN Unversioned directory)
  558. Wed Feb 18 21:47:13 2026 random seeds: 3363f842 6d0c3745
  559. Wed Feb 18 21:47:13 2026 Using 8 OpenMP threads
  560. Wed Feb 18 21:47:13 2026 factoring 633489550820680527399954376182034981581923329265656660859327904385660494452378990427002506459773186139655323693073800035293025953162429683370915542500523933154310236750201652627169353347 (186 digits)
  561. Wed Feb 18 21:47:13 2026 no P-1/P+1/ECM available, skipping
  562. Wed Feb 18 21:47:13 2026 commencing number field sieve (186-digit input)
  563. Wed Feb 18 21:47:13 2026 R0: -838151919305802732310804217543480911
  564. Wed Feb 18 21:47:13 2026 R1: 1836594573325639713727
  565. Wed Feb 18 21:47:13 2026 A0: 2106404034966883077995872596484309366634360
  566. Wed Feb 18 21:47:13 2026 A1: 190141773896154616402561942019625218
  567. Wed Feb 18 21:47:13 2026 A2: -134830021013508968682485698047
  568. Wed Feb 18 21:47:13 2026 A3: -1914487940531541866373
  569. Wed Feb 18 21:47:13 2026 A4: 734470961188992
  570. Wed Feb 18 21:47:13 2026 A5: 3063060
  571. Wed Feb 18 21:47:13 2026 skew 1.00, size 4.134e-18, alpha -6.659, combined = 2.047e-16 rroots = 5
  572. Wed Feb 18 21:47:13 2026
  573. Wed Feb 18 21:47:13 2026 commencing linear algebra
  574. Wed Feb 18 21:47:13 2026 using VBITS=256
  575. Wed Feb 18 21:47:13 2026 selected density 130 for linear algebra
  576. Wed Feb 18 21:47:56 2026 matrix starts at (0, 0)
  577. Wed Feb 18 21:47:58 2026 matrix is 19641482 x 19641660 (9910.4 MB) with weight 2981841953 (151.81/col)
  578. Wed Feb 18 21:47:58 2026 sparse part has weight 2381886686 (121.27/col)
  579. Wed Feb 18 21:47:58 2026 saving the first 240 matrix rows for later
  580. Wed Feb 18 21:48:04 2026 matrix includes 256 packed rows
  581. Wed Feb 18 21:48:09 2026 matrix is 19641242 x 19641660 (9025.6 MB) with weight 2179126129 (110.94/col)
  582. Wed Feb 18 21:48:09 2026 sparse part has weight 2051749169 (104.46/col)
  583. Wed Feb 18 21:48:09 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  584. Wed Feb 18 21:48:09 2026 selected card has CUDA arch 12.0
  585. Wed Feb 18 21:53:40 2026 commencing Lanczos iteration
  586. Wed Feb 18 21:54:14 2026 memory use: 20748.6 MB
  587. Wed Feb 18 21:57:56 2026 linear algebra at 0.2%, ETA 39h29m
  588. Wed Feb 18 22:03:26 2026 checking every 10000 dimensions, checkpointing every 510000 dimensions
  589. Fri Feb 20 14:00:43 2026 lanczos halted after 76957 iterations (dim = 19641242)
  590. Fri Feb 20 14:02:27 2026 recovered 29 nontrivial dependencies
  591. Fri Feb 20 14:02:36 2026 BLanczosTime: 144923
  592. Fri Feb 20 14:02:36 2026 elapsed time 40:15:23
  593. Fri Feb 20 14:02:45 2026
  594. Fri Feb 20 14:02:45 2026
  595. Fri Feb 20 14:02:45 2026 Msieve v. 1.54 (SVN Unversioned directory)
  596. Fri Feb 20 14:02:45 2026 random seeds: 21173df7 0ca4d6ed
  597. Fri Feb 20 14:02:45 2026 Using 8 OpenMP threads
  598. Fri Feb 20 14:02:45 2026 factoring 633489550820680527399954376182034981581923329265656660859327904385660494452378990427002506459773186139655323693073800035293025953162429683370915542500523933154310236750201652627169353347 (186 digits)
  599. Fri Feb 20 14:02:45 2026 no P-1/P+1/ECM available, skipping
  600. Fri Feb 20 14:02:45 2026 commencing number field sieve (186-digit input)
  601. Fri Feb 20 14:02:45 2026 R0: -838151919305802732310804217543480911
  602. Fri Feb 20 14:02:45 2026 R1: 1836594573325639713727
  603. Fri Feb 20 14:02:45 2026 A0: 2106404034966883077995872596484309366634360
  604. Fri Feb 20 14:02:45 2026 A1: 190141773896154616402561942019625218
  605. Fri Feb 20 14:02:45 2026 A2: -134830021013508968682485698047
  606. Fri Feb 20 14:02:45 2026 A3: -1914487940531541866373
  607. Fri Feb 20 14:02:45 2026 A4: 734470961188992
  608. Fri Feb 20 14:02:45 2026 A5: 3063060
  609. Fri Feb 20 14:02:45 2026 skew 1.00, size 4.134e-18, alpha -6.659, combined = 2.047e-16 rroots = 5
  610. Fri Feb 20 14:02:45 2026
  611. Fri Feb 20 14:02:45 2026 commencing square root phase
  612. Fri Feb 20 14:02:45 2026 reading relations for dependency 1
  613. Fri Feb 20 14:02:51 2026 read 9823094 cycles
  614. Fri Feb 20 14:03:13 2026 cycles contain 35911090 unique relations
  615. Fri Feb 20 14:09:28 2026 read 35911090 relations
  616. Fri Feb 20 14:11:48 2026 multiplying 35911090 relations
  617. Fri Feb 20 14:18:54 2026 multiply complete, coefficients have about 2257.08 million bits
  618. Fri Feb 20 14:19:02 2026 initial square root is modulo 115429
  619. Fri Feb 20 14:35:01 2026 GCD is 1, no factor found
  620. Fri Feb 20 14:35:01 2026 reading relations for dependency 2
  621. Fri Feb 20 14:35:04 2026 read 9821926 cycles
  622. Fri Feb 20 14:35:24 2026 cycles contain 35912268 unique relations
  623. Fri Feb 20 14:45:11 2026 read 35912268 relations
  624. Fri Feb 20 14:48:32 2026 multiplying 35912268 relations
  625. Fri Feb 20 14:55:41 2026 multiply complete, coefficients have about 2257.16 million bits
  626. Fri Feb 20 14:55:48 2026 initial square root is modulo 115637
  627. Fri Feb 20 15:11:59 2026 GCD is 1, no factor found
  628. Fri Feb 20 15:11:59 2026 reading relations for dependency 3
  629. Fri Feb 20 15:12:02 2026 read 9823437 cycles
  630. Fri Feb 20 15:12:27 2026 cycles contain 35912856 unique relations
  631. Fri Feb 20 15:24:49 2026 read 35912856 relations
  632. Fri Feb 20 15:27:49 2026 multiplying 35912856 relations
  633. Fri Feb 20 15:34:37 2026 multiply complete, coefficients have about 2257.19 million bits
  634. Fri Feb 20 15:34:43 2026 initial square root is modulo 115637
  635. Fri Feb 20 15:50:05 2026 sqrtTime: 6440
  636. Fri Feb 20 15:50:05 2026 p67 factor: 4026672612558064138191731860841207645558183863325260775222783220371
  637. Fri Feb 20 15:50:05 2026 p120 factor: 157323331637393126588827469665800652427614093576363813489224584318030027225817029297820104401499757504314594142806258257
  638. Fri Feb 20 15:50:05 2026 elapsed time 01:47:20
  639.  
Tags: math
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