kyleaskine

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May 13th, 2026
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  1. Tue May 12 14:22:37 2026
  2. Tue May 12 14:22:37 2026
  3. Tue May 12 14:22:37 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue May 12 14:22:37 2026 random seeds: b11814e8 2b72b08e
  5. Tue May 12 14:22:37 2026 Using 14 OpenMP threads
  6. Tue May 12 14:22:37 2026 factoring 18937595770677596419621532775733567010917496398617083185103007659396482236477386247630371621644489507666744151577358121098502129904739575743670144829800502606434109540855070425020323288023 (188 digits)
  7. Tue May 12 14:22:38 2026 no P-1/P+1/ECM available, skipping
  8. Tue May 12 14:22:38 2026 commencing number field sieve (188-digit input)
  9. Tue May 12 14:22:38 2026 R0: 1922702808685887112972393367573106069
  10. Tue May 12 14:22:38 2026 R1: -91942965725243150385971
  11. Tue May 12 14:22:38 2026 A0: 23352352321474319627845861510818313872013440
  12. Tue May 12 14:22:38 2026 A1: 8341865982994090958702607573543565348
  13. Tue May 12 14:22:38 2026 A2: 59945215556028600169619277363
  14. Tue May 12 14:22:38 2026 A3: -11408454022916216103781
  15. Tue May 12 14:22:38 2026 A4: -527917664855118
  16. Tue May 12 14:22:38 2026 A5: 4324320
  17. Tue May 12 14:22:38 2026 skew 1.00, size 3.304e-18, alpha -8.014, combined = 1.492e-16 rroots = 3
  18. Tue May 12 14:22:38 2026
  19. Tue May 12 14:22:38 2026 commencing relation filtering
  20. Tue May 12 14:22:38 2026 setting 3 target densities:Tue May 12 14:22:38 2026 80Tue May 12 14:22:38 2026 100Tue May 12 14:22:38 2026 120Tue May 12 14:22:38 2026
  21. Tue May 12 14:22:38 2026 estimated available RAM is 78540.1 MB
  22. Tue May 12 14:22:38 2026 commencing duplicate removal, pass 1
  23. Tue May 12 14:22:46 2026 error -1 reading relation 8015654
  24. Tue May 12 14:23:27 2026 error -1 reading relation 44669666
  25. Tue May 12 14:23:38 2026 error -1 reading relation 55822980
  26. Tue May 12 14:24:07 2026 error -1 reading relation 78779037
  27. Tue May 12 14:24:16 2026 error -1 reading relation 87465249
  28. Tue May 12 14:24:41 2026 error -1 reading relation 111187449
  29. Tue May 12 14:24:55 2026 error -1 reading relation 125332957
  30. Tue May 12 14:24:57 2026 error -1 reading relation 127432026
  31. Tue May 12 14:25:34 2026 error -1 reading relation 160374591
  32. Tue May 12 14:25:52 2026 error -1 reading relation 177925970
  33. Tue May 12 14:26:03 2026 error -1 reading relation 191248902
  34. Tue May 12 14:26:11 2026 error -1 reading relation 200254822
  35. Tue May 12 14:26:12 2026 error -1 reading relation 200834277
  36. Tue May 12 14:26:31 2026 error -1 reading relation 220080597
  37. Tue May 12 14:26:47 2026 error -1 reading relation 236464820
  38. Tue May 12 14:27:01 2026 error -1 reading relation 252289395
  39. Tue May 12 14:27:06 2026 error -1 reading relation 258330651
  40. Tue May 12 14:27:15 2026 error -15 reading relation 267220182
  41. Tue May 12 14:27:25 2026 error -1 reading relation 277950713
  42. Tue May 12 14:27:27 2026 error -1 reading relation 279365928
  43. Tue May 12 14:27:57 2026 error -1 reading relation 310529946
  44. Tue May 12 14:28:13 2026 error -1 reading relation 329451628
  45. Tue May 12 14:28:18 2026 error -1 reading relation 334809438
  46. Tue May 12 14:28:18 2026 error -1 reading relation 334809929
  47. Tue May 12 14:28:41 2026 error -1 reading relation 358787833
  48. Tue May 12 14:28:48 2026 error -1 reading relation 365591542
  49. Tue May 12 14:29:21 2026 error -1 reading relation 388752969
  50. Tue May 12 14:29:24 2026 error -1 reading relation 390695842
  51. Tue May 12 14:29:33 2026 error -1 reading relation 400230545
  52. Tue May 12 14:29:45 2026 error -1 reading relation 414229724
  53. Tue May 12 14:29:48 2026 error -1 reading relation 417493722
  54. Tue May 12 14:30:02 2026 error -1 reading relation 429051198
  55. Tue May 12 14:30:03 2026 error -1 reading relation 429541778
  56. Tue May 12 14:30:21 2026 error -1 reading relation 446024217
  57. Tue May 12 14:30:37 2026 error -1 reading relation 460436252
  58. Tue May 12 14:30:37 2026 error -1 reading relation 460658591
  59. Tue May 12 14:30:46 2026 error -11 reading relation 468525911
  60. Tue May 12 14:31:03 2026 error -1 reading relation 483119836
  61. Tue May 12 14:31:05 2026 error -1 reading relation 484899527
  62. Tue May 12 14:31:05 2026 error -15 reading relation 485411009
  63. Tue May 12 14:31:09 2026 error -1 reading relation 488445789
  64. Tue May 12 14:31:14 2026 error -1 reading relation 493124204
  65. Tue May 12 14:31:17 2026 error -1 reading relation 496082112
  66. Tue May 12 14:31:24 2026 error -1 reading relation 502858368
  67. Tue May 12 14:31:31 2026 error -1 reading relation 509182118
  68. Tue May 12 14:31:52 2026 error -1 reading relation 529260201
  69. Tue May 12 14:32:17 2026 error -1 reading relation 552484017
  70. Tue May 12 14:32:19 2026 error -1 reading relation 554257728
  71. Tue May 12 14:32:26 2026 error -1 reading relation 560298318
  72. Tue May 12 14:32:34 2026 error -1 reading relation 567981083
  73. Tue May 12 14:32:34 2026 error -1 reading relation 567991994
  74. Tue May 12 14:32:39 2026 error -1 reading relation 572502379
  75. Tue May 12 14:32:53 2026 error -1 reading relation 585086043
  76. Tue May 12 14:32:53 2026 error -1 reading relation 585087145
  77. Tue May 12 14:32:55 2026 error -1 reading relation 587447556
  78. Tue May 12 14:32:56 2026 error -1 reading relation 588219934
  79. Tue May 12 14:32:58 2026 error -1 reading relation 589267655
  80. Tue May 12 14:33:04 2026 error -1 reading relation 595415188
  81. Tue May 12 14:33:19 2026 error -1 reading relation 610410309
  82. Tue May 12 14:33:20 2026 error -1 reading relation 611205790
  83. Tue May 12 14:33:21 2026 error -1 reading relation 611473823
  84. Tue May 12 14:33:37 2026 error -1 reading relation 627503347
  85. Tue May 12 14:33:47 2026 error -1 reading relation 638777020
  86. Tue May 12 14:33:55 2026 error -1 reading relation 646492781
  87. Tue May 12 14:33:58 2026 error -1 reading relation 649617885
  88. Tue May 12 14:34:14 2026 error -1 reading relation 665583557
  89. Tue May 12 14:34:15 2026 error -1 reading relation 667425375
  90. Tue May 12 14:34:19 2026 error -1 reading relation 671855109
  91. Tue May 12 14:34:26 2026 skipped 1 relations with b > 2^32
  92. Tue May 12 14:34:26 2026 skipped 562 malformed relations
  93. Tue May 12 14:34:26 2026 found 149762931 hash collisions in 679594965 relations
  94. Tue May 12 14:34:39 2026 added 122036 free relations
  95. Tue May 12 14:34:39 2026 commencing duplicate removal, pass 2
  96. Tue May 12 14:39:49 2026 found 164316715 duplicates and 515400286 unique relations
  97. Tue May 12 14:39:49 2026 memory use: 3411.0 MB
  98. Tue May 12 14:39:50 2026 reading ideals above 291962880
  99. Tue May 12 14:39:50 2026 commencing singleton removal, initial pass
  100. Tue May 12 15:01:44 2026 memory use: 11024.0 MB
  101. Tue May 12 15:01:44 2026 reading all ideals from disk
  102. Tue May 12 15:01:51 2026 memory use: 13403.7 MB
  103. Tue May 12 15:02:05 2026 commencing in-memory singleton removal
  104. Tue May 12 15:02:09 2026 begin with 515400286 relations and 446272886 unique ideals
  105. Tue May 12 15:02:33 2026 reduce to 320522974 relations and 231064360 ideals in 15 passes
  106. Tue May 12 15:02:33 2026 max relations containing the same ideal: 33
  107. Tue May 12 15:02:39 2026 reading ideals above 720000
  108. Tue May 12 15:02:40 2026 commencing singleton removal, initial pass
  109. Tue May 12 15:23:08 2026 memory use: 6024.0 MB
  110. Tue May 12 15:23:08 2026 reading all ideals from disk
  111. Tue May 12 15:23:25 2026 memory use: 15864.9 MB
  112. Tue May 12 15:23:42 2026 keeping 261112575 ideals with weight <= 200, target excess is 1638309
  113. Tue May 12 15:24:08 2026 commencing in-memory singleton removal
  114. Tue May 12 15:24:12 2026 begin with 320522974 relations and 261112575 unique ideals
  115. Tue May 12 15:24:31 2026 reduce to 320516465 relations and 261106066 ideals in 8 passes
  116. Tue May 12 15:24:31 2026 max relations containing the same ideal: 200
  117. Tue May 12 15:26:20 2026 removing 14008877 relations and 12008877 ideals in 2000000 cliques
  118. Tue May 12 15:26:26 2026 commencing in-memory singleton removal
  119. Tue May 12 15:26:30 2026 begin with 306507588 relations and 261106066 unique ideals
  120. Tue May 12 15:26:48 2026 reduce to 306053362 relations and 248638973 ideals in 8 passes
  121. Tue May 12 15:26:48 2026 max relations containing the same ideal: 200
  122. Tue May 12 15:28:05 2026 removing 10582069 relations and 8582069 ideals in 2000000 cliques
  123. Tue May 12 15:28:10 2026 commencing in-memory singleton removal
  124. Tue May 12 15:28:13 2026 begin with 295471293 relations and 248638973 unique ideals
  125. Tue May 12 15:28:28 2026 reduce to 295182197 relations and 239765701 ideals in 7 passes
  126. Tue May 12 15:28:28 2026 max relations containing the same ideal: 197
  127. Tue May 12 15:29:45 2026 removing 9505467 relations and 7505467 ideals in 2000000 cliques
  128. Tue May 12 15:29:50 2026 commencing in-memory singleton removal
  129. Tue May 12 15:29:53 2026 begin with 285676730 relations and 239765701 unique ideals
  130. Tue May 12 15:30:10 2026 reduce to 285430451 relations and 232012215 ideals in 7 passes
  131. Tue May 12 15:30:10 2026 max relations containing the same ideal: 194
  132. Tue May 12 15:31:22 2026 removing 8896468 relations and 6896468 ideals in 2000000 cliques
  133. Tue May 12 15:31:26 2026 commencing in-memory singleton removal
  134. Tue May 12 15:31:29 2026 begin with 276533983 relations and 232012215 unique ideals
  135. Tue May 12 15:31:44 2026 reduce to 276308822 relations and 224889053 ideals in 7 passes
  136. Tue May 12 15:31:44 2026 max relations containing the same ideal: 190
  137. Tue May 12 15:32:52 2026 removing 8495521 relations and 6495521 ideals in 2000000 cliques
  138. Tue May 12 15:32:56 2026 commencing in-memory singleton removal
  139. Tue May 12 15:33:00 2026 begin with 267813301 relations and 224889053 unique ideals
  140. Tue May 12 15:33:11 2026 reduce to 267600504 relations and 218179184 ideals in 6 passes
  141. Tue May 12 15:33:11 2026 max relations containing the same ideal: 188
  142. Tue May 12 15:34:17 2026 removing 8203027 relations and 6203027 ideals in 2000000 cliques
  143. Tue May 12 15:34:21 2026 commencing in-memory singleton removal
  144. Tue May 12 15:34:24 2026 begin with 259397477 relations and 218179184 unique ideals
  145. Tue May 12 15:34:37 2026 reduce to 259191314 relations and 211768559 ideals in 7 passes
  146. Tue May 12 15:34:37 2026 max relations containing the same ideal: 184
  147. Tue May 12 15:35:41 2026 removing 7981586 relations and 5981586 ideals in 2000000 cliques
  148. Tue May 12 15:35:44 2026 commencing in-memory singleton removal
  149. Tue May 12 15:35:48 2026 begin with 251209728 relations and 211768559 unique ideals
  150. Tue May 12 15:36:02 2026 reduce to 251007676 relations and 205583431 ideals in 8 passes
  151. Tue May 12 15:36:02 2026 max relations containing the same ideal: 181
  152. Tue May 12 15:37:05 2026 removing 7816033 relations and 5816033 ideals in 2000000 cliques
  153. Tue May 12 15:37:09 2026 commencing in-memory singleton removal
  154. Tue May 12 15:37:12 2026 begin with 243191643 relations and 205583431 unique ideals
  155. Tue May 12 15:37:23 2026 reduce to 242993106 relations and 199567374 ideals in 7 passes
  156. Tue May 12 15:37:23 2026 max relations containing the same ideal: 178
  157. Tue May 12 15:38:24 2026 removing 7685801 relations and 5685801 ideals in 2000000 cliques
  158. Tue May 12 15:38:27 2026 commencing in-memory singleton removal
  159. Tue May 12 15:38:30 2026 begin with 235307305 relations and 199567374 unique ideals
  160. Tue May 12 15:38:42 2026 reduce to 235107976 relations and 193680677 ideals in 7 passes
  161. Tue May 12 15:38:42 2026 max relations containing the same ideal: 173
  162. Tue May 12 15:39:42 2026 removing 7575623 relations and 5575623 ideals in 2000000 cliques
  163. Tue May 12 15:39:45 2026 commencing in-memory singleton removal
  164. Tue May 12 15:39:48 2026 begin with 227532353 relations and 193680677 unique ideals
  165. Tue May 12 15:39:58 2026 reduce to 227332349 relations and 187903453 ideals in 7 passes
  166. Tue May 12 15:39:58 2026 max relations containing the same ideal: 171
  167. Tue May 12 15:40:57 2026 removing 7490780 relations and 5490780 ideals in 2000000 cliques
  168. Tue May 12 15:40:59 2026 commencing in-memory singleton removal
  169. Tue May 12 15:41:02 2026 begin with 219841569 relations and 187903453 unique ideals
  170. Tue May 12 15:41:13 2026 reduce to 219639654 relations and 182209077 ideals in 7 passes
  171. Tue May 12 15:41:13 2026 max relations containing the same ideal: 168
  172. Tue May 12 15:42:09 2026 removing 7430675 relations and 5430675 ideals in 2000000 cliques
  173. Tue May 12 15:42:12 2026 commencing in-memory singleton removal
  174. Tue May 12 15:42:15 2026 begin with 212208979 relations and 182209077 unique ideals
  175. Tue May 12 15:42:25 2026 reduce to 212005450 relations and 176573121 ideals in 6 passes
  176. Tue May 12 15:42:25 2026 max relations containing the same ideal: 165
  177. Tue May 12 15:43:20 2026 removing 7375138 relations and 5375138 ideals in 2000000 cliques
  178. Tue May 12 15:43:23 2026 commencing in-memory singleton removal
  179. Tue May 12 15:43:25 2026 begin with 204630312 relations and 176573121 unique ideals
  180. Tue May 12 15:43:35 2026 reduce to 204422847 relations and 170988665 ideals in 7 passes
  181. Tue May 12 15:43:35 2026 max relations containing the same ideal: 159
  182. Tue May 12 15:44:27 2026 removing 7333546 relations and 5333546 ideals in 2000000 cliques
  183. Tue May 12 15:44:30 2026 commencing in-memory singleton removal
  184. Tue May 12 15:44:32 2026 begin with 197089301 relations and 170988665 unique ideals
  185. Tue May 12 15:44:41 2026 reduce to 196877323 relations and 165441148 ideals in 7 passes
  186. Tue May 12 15:44:41 2026 max relations containing the same ideal: 156
  187. Tue May 12 15:45:31 2026 removing 7308769 relations and 5308769 ideals in 2000000 cliques
  188. Tue May 12 15:45:34 2026 commencing in-memory singleton removal
  189. Tue May 12 15:45:36 2026 begin with 189568554 relations and 165441148 unique ideals
  190. Tue May 12 15:45:44 2026 reduce to 189349414 relations and 159911117 ideals in 6 passes
  191. Tue May 12 15:45:44 2026 max relations containing the same ideal: 152
  192. Tue May 12 15:46:34 2026 removing 7292019 relations and 5292019 ideals in 2000000 cliques
  193. Tue May 12 15:46:37 2026 commencing in-memory singleton removal
  194. Tue May 12 15:46:39 2026 begin with 182057395 relations and 159911117 unique ideals
  195. Tue May 12 15:46:46 2026 reduce to 181832855 relations and 154392244 ideals in 6 passes
  196. Tue May 12 15:46:46 2026 max relations containing the same ideal: 148
  197. Tue May 12 15:47:34 2026 removing 7284633 relations and 5284633 ideals in 2000000 cliques
  198. Tue May 12 15:47:36 2026 commencing in-memory singleton removal
  199. Tue May 12 15:47:38 2026 begin with 174548222 relations and 154392244 unique ideals
  200. Tue May 12 15:47:48 2026 reduce to 174314251 relations and 148871198 ideals in 8 passes
  201. Tue May 12 15:47:48 2026 max relations containing the same ideal: 143
  202. Tue May 12 15:48:33 2026 removing 7288114 relations and 5288114 ideals in 2000000 cliques
  203. Tue May 12 15:48:36 2026 commencing in-memory singleton removal
  204. Tue May 12 15:48:38 2026 begin with 167026137 relations and 148871198 unique ideals
  205. Tue May 12 15:48:46 2026 reduce to 166783985 relations and 143338296 ideals in 7 passes
  206. Tue May 12 15:48:46 2026 max relations containing the same ideal: 140
  207. Tue May 12 15:49:29 2026 removing 7299255 relations and 5299255 ideals in 2000000 cliques
  208. Tue May 12 15:49:32 2026 commencing in-memory singleton removal
  209. Tue May 12 15:49:33 2026 begin with 159484730 relations and 143338296 unique ideals
  210. Tue May 12 15:49:40 2026 reduce to 159230004 relations and 137781490 ideals in 6 passes
  211. Tue May 12 15:49:40 2026 max relations containing the same ideal: 137
  212. Tue May 12 15:50:22 2026 removing 7323411 relations and 5323411 ideals in 2000000 cliques
  213. Tue May 12 15:50:24 2026 commencing in-memory singleton removal
  214. Tue May 12 15:50:26 2026 begin with 151906593 relations and 137781490 unique ideals
  215. Tue May 12 15:50:34 2026 reduce to 151637184 relations and 132185520 ideals in 8 passes
  216. Tue May 12 15:50:34 2026 max relations containing the same ideal: 132
  217. Tue May 12 15:51:14 2026 removing 7354143 relations and 5354143 ideals in 2000000 cliques
  218. Tue May 12 15:51:17 2026 commencing in-memory singleton removal
  219. Tue May 12 15:51:18 2026 begin with 144283041 relations and 132185520 unique ideals
  220. Tue May 12 15:51:25 2026 reduce to 143999515 relations and 126544389 ideals in 7 passes
  221. Tue May 12 15:51:25 2026 max relations containing the same ideal: 128
  222. Tue May 12 15:52:03 2026 removing 7395457 relations and 5395457 ideals in 2000000 cliques
  223. Tue May 12 15:52:06 2026 commencing in-memory singleton removal
  224. Tue May 12 15:52:07 2026 begin with 136604058 relations and 126544389 unique ideals
  225. Tue May 12 15:52:13 2026 reduce to 136302354 relations and 120843511 ideals in 7 passes
  226. Tue May 12 15:52:13 2026 max relations containing the same ideal: 124
  227. Tue May 12 15:52:50 2026 removing 7446268 relations and 5446268 ideals in 2000000 cliques
  228. Tue May 12 15:52:52 2026 commencing in-memory singleton removal
  229. Tue May 12 15:52:53 2026 begin with 128856086 relations and 120843511 unique ideals
  230. Tue May 12 15:53:00 2026 reduce to 128531381 relations and 115068220 ideals in 7 passes
  231. Tue May 12 15:53:00 2026 max relations containing the same ideal: 119
  232. Tue May 12 15:53:37 2026 removing 7513635 relations and 5513635 ideals in 2000000 cliques
  233. Tue May 12 15:53:40 2026 commencing in-memory singleton removal
  234. Tue May 12 15:53:41 2026 begin with 121017746 relations and 115068220 unique ideals
  235. Tue May 12 15:53:48 2026 reduce to 120667399 relations and 109199384 ideals in 8 passes
  236. Tue May 12 15:53:48 2026 max relations containing the same ideal: 113
  237. Tue May 12 15:54:25 2026 removing 7601303 relations and 5601303 ideals in 2000000 cliques
  238. Tue May 12 15:54:26 2026 commencing in-memory singleton removal
  239. Tue May 12 15:54:28 2026 begin with 113066096 relations and 109199384 unique ideals
  240. Tue May 12 15:54:33 2026 reduce to 112684295 relations and 103210695 ideals in 7 passes
  241. Tue May 12 15:54:33 2026 max relations containing the same ideal: 108
  242. Tue May 12 15:55:11 2026 removing 7708699 relations and 5708699 ideals in 2000000 cliques
  243. Tue May 12 15:55:15 2026 commencing in-memory singleton removal
  244. Tue May 12 15:55:17 2026 begin with 104975596 relations and 103210695 unique ideals
  245. Tue May 12 15:55:31 2026 reduce to 104553447 relations and 97073367 ideals in 8 passes
  246. Tue May 12 15:55:31 2026 max relations containing the same ideal: 103
  247. Tue May 12 15:56:40 2026 removing 7833696 relations and 5833696 ideals in 2000000 cliques
  248. Tue May 12 15:56:44 2026 commencing in-memory singleton removal
  249. Tue May 12 15:56:46 2026 begin with 96719751 relations and 97073367 unique ideals
  250. Tue May 12 15:56:59 2026 reduce to 96245834 relations and 90758193 ideals in 8 passes
  251. Tue May 12 15:56:59 2026 max relations containing the same ideal: 98
  252. Tue May 12 15:58:06 2026 removing 7991313 relations and 5991313 ideals in 2000000 cliques
  253. Tue May 12 15:58:09 2026 commencing in-memory singleton removal
  254. Tue May 12 15:58:11 2026 begin with 88254521 relations and 90758193 unique ideals
  255. Tue May 12 15:58:22 2026 reduce to 87714199 relations and 84217143 ideals in 8 passes
  256. Tue May 12 15:58:22 2026 max relations containing the same ideal: 92
  257. Tue May 12 15:59:28 2026 removing 6829546 relations and 5232929 ideals in 1596617 cliques
  258. Tue May 12 15:59:31 2026 commencing in-memory singleton removal
  259. Tue May 12 15:59:33 2026 begin with 80884653 relations and 84217143 unique ideals
  260. Tue May 12 15:59:42 2026 reduce to 80455876 relations and 78548816 ideals in 8 passes
  261. Tue May 12 15:59:42 2026 max relations containing the same ideal: 87
  262. Tue May 12 16:00:42 2026 trying target density 80
  263. Tue May 12 16:00:50 2026 relations with 0 large ideals: 6061
  264. Tue May 12 16:00:50 2026 relations with 1 large ideals: 28992
  265. Tue May 12 16:00:50 2026 relations with 2 large ideals: 429263
  266. Tue May 12 16:00:50 2026 relations with 3 large ideals: 2679156
  267. Tue May 12 16:00:50 2026 relations with 4 large ideals: 8969163
  268. Tue May 12 16:00:50 2026 relations with 5 large ideals: 17842464
  269. Tue May 12 16:00:50 2026 relations with 6 large ideals: 22130650
  270. Tue May 12 16:00:50 2026 relations with 7+ large ideals: 28370127
  271. Tue May 12 16:00:50 2026 commencing 2-way merge
  272. Tue May 12 16:02:08 2026 reduce to 49525339 relation sets and 47618279 unique ideals
  273. Tue May 12 16:02:08 2026 commencing full merge
  274. Tue May 12 16:22:50 2026 memory use: 5454.1 MB
  275. Tue May 12 16:23:02 2026 found 25682553 cycles, need 25416479
  276. Tue May 12 16:23:15 2026 weight of 25416479 cycles is about 2033689743 (80.01/cycle)
  277. Tue May 12 16:23:15 2026 distribution of cycle lengths:
  278. Tue May 12 16:23:15 2026 1 relations: 3058583
  279. Tue May 12 16:23:15 2026 2 relations: 2766925
  280. Tue May 12 16:23:15 2026 3 relations: 2832550
  281. Tue May 12 16:23:15 2026 4 relations: 2696200
  282. Tue May 12 16:23:15 2026 5 relations: 2621961
  283. Tue May 12 16:23:15 2026 6 relations: 2373355
  284. Tue May 12 16:23:15 2026 7 relations: 2124367
  285. Tue May 12 16:23:15 2026 8 relations: 1797443
  286. Tue May 12 16:23:15 2026 9 relations: 1461026
  287. Tue May 12 16:23:15 2026 10+ relations: 3684069
  288. Tue May 12 16:23:15 2026 heaviest cycle: 19 relations
  289. Tue May 12 16:23:23 2026 commencing cycle optimization
  290. Tue May 12 16:24:28 2026 start with 140973609 relations
  291. Tue May 12 16:29:20 2026 pruned 3384715 relations
  292. Tue May 12 16:29:25 2026 memory use: 4726.3 MB
  293. Tue May 12 16:29:25 2026 distribution of cycle lengths:
  294. Tue May 12 16:29:25 2026 1 relations: 3058583
  295. Tue May 12 16:29:25 2026 2 relations: 2827691
  296. Tue May 12 16:29:25 2026 3 relations: 2926365
  297. Tue May 12 16:29:25 2026 4 relations: 2767028
  298. Tue May 12 16:29:25 2026 5 relations: 2693411
  299. Tue May 12 16:29:25 2026 6 relations: 2423632
  300. Tue May 12 16:29:25 2026 7 relations: 2158950
  301. Tue May 12 16:29:25 2026 8 relations: 1802040
  302. Tue May 12 16:29:25 2026 9 relations: 1442249
  303. Tue May 12 16:29:25 2026 10+ relations: 3316530
  304. Tue May 12 16:29:25 2026 heaviest cycle: 18 relations
  305. Tue May 12 16:30:48 2026 trying target density 100
  306. Tue May 12 16:31:03 2026 relations with 0 large ideals: 6061
  307. Tue May 12 16:31:03 2026 relations with 1 large ideals: 28992
  308. Tue May 12 16:31:03 2026 relations with 2 large ideals: 429263
  309. Tue May 12 16:31:03 2026 relations with 3 large ideals: 2679156
  310. Tue May 12 16:31:03 2026 relations with 4 large ideals: 8969163
  311. Tue May 12 16:31:03 2026 relations with 5 large ideals: 17842464
  312. Tue May 12 16:31:03 2026 relations with 6 large ideals: 22130650
  313. Tue May 12 16:31:03 2026 relations with 7+ large ideals: 28370127
  314. Tue May 12 16:31:03 2026 commencing 2-way merge
  315. Tue May 12 16:33:19 2026 reduce to 49525339 relation sets and 47618279 unique ideals
  316. Tue May 12 16:33:20 2026 commencing full merge
  317. Tue May 12 16:58:40 2026 memory use: 5605.1 MB
  318. Tue May 12 16:58:52 2026 found 23658177 cycles, need 23412479
  319. Tue May 12 16:59:04 2026 weight of 23412479 cycles is about 2341627040 (100.02/cycle)
  320. Tue May 12 16:59:04 2026 distribution of cycle lengths:
  321. Tue May 12 16:59:04 2026 1 relations: 2132160
  322. Tue May 12 16:59:04 2026 2 relations: 1989201
  323. Tue May 12 16:59:04 2026 3 relations: 2068866
  324. Tue May 12 16:59:04 2026 4 relations: 2014970
  325. Tue May 12 16:59:04 2026 5 relations: 2025133
  326. Tue May 12 16:59:04 2026 6 relations: 1949401
  327. Tue May 12 16:59:04 2026 7 relations: 1848255
  328. Tue May 12 16:59:04 2026 8 relations: 1685345
  329. Tue May 12 16:59:04 2026 9 relations: 1516966
  330. Tue May 12 16:59:04 2026 10+ relations: 6182182
  331. Tue May 12 16:59:04 2026 heaviest cycle: 23 relations
  332. Tue May 12 16:59:13 2026 commencing cycle optimization
  333. Tue May 12 17:00:24 2026 start with 161884286 relations
  334. Tue May 12 17:07:48 2026 pruned 5214136 relations
  335. Tue May 12 17:07:53 2026 memory use: 4946.2 MB
  336. Tue May 12 17:07:53 2026 distribution of cycle lengths:
  337. Tue May 12 17:07:53 2026 1 relations: 2132160
  338. Tue May 12 17:07:53 2026 2 relations: 2037891
  339. Tue May 12 17:07:53 2026 3 relations: 2145512
  340. Tue May 12 17:07:53 2026 4 relations: 2082402
  341. Tue May 12 17:07:53 2026 5 relations: 2100963
  342. Tue May 12 17:07:53 2026 6 relations: 2014382
  343. Tue May 12 17:07:53 2026 7 relations: 1908341
  344. Tue May 12 17:07:53 2026 8 relations: 1730037
  345. Tue May 12 17:07:53 2026 9 relations: 1545803
  346. Tue May 12 17:07:53 2026 10+ relations: 5714988
  347. Tue May 12 17:07:53 2026 heaviest cycle: 23 relations
  348. Tue May 12 17:09:09 2026 trying target density 120
  349. Tue May 12 17:09:18 2026 relations with 0 large ideals: 6061
  350. Tue May 12 17:09:18 2026 relations with 1 large ideals: 28992
  351. Tue May 12 17:09:18 2026 relations with 2 large ideals: 429263
  352. Tue May 12 17:09:18 2026 relations with 3 large ideals: 2679156
  353. Tue May 12 17:09:18 2026 relations with 4 large ideals: 8969163
  354. Tue May 12 17:09:18 2026 relations with 5 large ideals: 17842464
  355. Tue May 12 17:09:18 2026 relations with 6 large ideals: 22130650
  356. Tue May 12 17:09:18 2026 relations with 7+ large ideals: 28370127
  357. Tue May 12 17:09:18 2026 commencing 2-way merge
  358. Tue May 12 17:10:40 2026 reduce to 49525339 relation sets and 47618279 unique ideals
  359. Tue May 12 17:10:40 2026 commencing full merge
  360. Tue May 12 17:38:43 2026 memory use: 5723.8 MB
  361. Tue May 12 17:38:54 2026 found 22182311 cycles, need 22020479
  362. Tue May 12 17:39:03 2026 weight of 22020479 cycles is about 2642764218 (120.01/cycle)
  363. Tue May 12 17:39:03 2026 distribution of cycle lengths:
  364. Tue May 12 17:39:03 2026 1 relations: 1564306
  365. Tue May 12 17:39:03 2026 2 relations: 1527944
  366. Tue May 12 17:39:03 2026 3 relations: 1600565
  367. Tue May 12 17:39:03 2026 4 relations: 1598969
  368. Tue May 12 17:39:03 2026 5 relations: 1614764
  369. Tue May 12 17:39:03 2026 6 relations: 1603249
  370. Tue May 12 17:39:03 2026 7 relations: 1549728
  371. Tue May 12 17:39:03 2026 8 relations: 1489303
  372. Tue May 12 17:39:03 2026 9 relations: 1399538
  373. Tue May 12 17:39:03 2026 10+ relations: 8072113
  374. Tue May 12 17:39:03 2026 heaviest cycle: 28 relations
  375. Tue May 12 17:39:11 2026 commencing cycle optimization
  376. Tue May 12 17:40:28 2026 start with 182042791 relations
  377. Tue May 12 17:50:44 2026 pruned 7142127 relations
  378. Tue May 12 17:50:44 2026 memory use: 5151.9 MB
  379. Tue May 12 17:50:44 2026 distribution of cycle lengths:
  380. Tue May 12 17:50:44 2026 1 relations: 1564306
  381. Tue May 12 17:50:44 2026 2 relations: 1566705
  382. Tue May 12 17:50:44 2026 3 relations: 1663450
  383. Tue May 12 17:50:44 2026 4 relations: 1657829
  384. Tue May 12 17:50:44 2026 5 relations: 1685829
  385. Tue May 12 17:50:44 2026 6 relations: 1667288
  386. Tue May 12 17:50:44 2026 7 relations: 1619039
  387. Tue May 12 17:50:44 2026 8 relations: 1549036
  388. Tue May 12 17:50:44 2026 9 relations: 1450503
  389. Tue May 12 17:50:44 2026 10+ relations: 7596494
  390. Tue May 12 17:50:44 2026 heaviest cycle: 28 relations
  391. Tue May 12 17:52:01 2026 RelProcTime: 12563
  392. Tue May 12 17:52:01 2026
  393. Tue May 12 17:52:01 2026 commencing linear algebra
  394. Tue May 12 17:52:01 2026 using VBITS=256
  395. Tue May 12 17:52:01 2026 building matrices for all densities
  396. Tue May 12 17:52:01 2026 found 3 density files
  397. Tue May 12 17:52:01 2026 building matrix for density 80
  398. Tue May 12 17:52:22 2026 read 25416479 cycles
  399. Tue May 12 17:53:52 2026 cycles contain 79160087 unique relations
  400. Tue May 12 18:12:27 2026 read 79160087 relations
  401. Tue May 12 18:13:07 2026 using 20 quadratic characters above 4294917295
  402. Tue May 12 18:13:39 2026 building initial matrix
  403. Tue May 12 18:33:34 2026 memory use: 11020.1 MB
  404. Tue May 12 18:33:50 2026 read 25416479 cycles
  405. Tue May 12 18:33:54 2026 matrix is 25416302 x 25416479 (8650.6 MB) with weight 2710035129 (106.63/col)
  406. Tue May 12 18:33:54 2026 sparse part has weight 1962698318 (77.22/col)
  407. Tue May 12 18:39:19 2026 filtering completed in 2 passes
  408. Tue May 12 18:39:26 2026 matrix is 25405876 x 25406053 (8649.8 MB) with weight 2709652135 (106.65/col)
  409. Tue May 12 18:39:26 2026 sparse part has weight 1962610271 (77.25/col)
  410. Tue May 12 18:40:36 2026 building matrix for density 100
  411. Tue May 12 18:40:38 2026 read 23412479 cycles
  412. Tue May 12 18:41:35 2026 cycles contain 79197059 unique relations
  413. Tue May 12 18:50:30 2026 read 79197059 relations
  414. Tue May 12 18:51:08 2026 using 20 quadratic characters above 4294917295
  415. Tue May 12 18:51:39 2026 building initial matrix
  416. Tue May 12 19:13:04 2026 memory use: 11036.0 MB
  417. Tue May 12 19:13:27 2026 read 23412479 cycles
  418. Tue May 12 19:13:32 2026 matrix is 23412301 x 23412479 (9557.1 MB) with weight 2965225607 (126.65/col)
  419. Tue May 12 19:13:32 2026 sparse part has weight 2224385470 (95.01/col)
  420. Tue May 12 19:19:15 2026 filtering completed in 2 passes
  421. Tue May 12 19:19:22 2026 matrix is 23407805 x 23407983 (9556.7 MB) with weight 2965025094 (126.67/col)
  422. Tue May 12 19:19:22 2026 sparse part has weight 2224328189 (95.02/col)
  423. Tue May 12 19:20:36 2026 building matrix for density 120
  424. Tue May 12 19:20:38 2026 read 22020479 cycles
  425. Tue May 12 19:21:37 2026 cycles contain 79210784 unique relations
  426. Tue May 12 19:26:26 2026 read 79210784 relations
  427. Tue May 12 19:27:01 2026 using 20 quadratic characters above 4294917295
  428. Tue May 12 19:27:33 2026 building initial matrix
  429. Tue May 12 19:53:32 2026 memory use: 11064.7 MB
  430. Tue May 12 19:54:16 2026 read 22020479 cycles
  431. Tue May 12 19:54:19 2026 matrix is 22020300 x 22020479 (10449.9 MB) with weight 3213008873 (145.91/col)
  432. Tue May 12 19:54:19 2026 sparse part has weight 2475134883 (112.40/col)
  433. Tue May 12 19:59:46 2026 filtering completed in 2 passes
  434. Tue May 12 19:59:55 2026 matrix is 22018692 x 22018871 (10449.7 MB) with weight 3212929946 (145.92/col)
  435. Tue May 12 19:59:55 2026 sparse part has weight 2475112710 (112.41/col)
  436. Tue May 12 20:01:20 2026 BLanczosTime: 7759
  437. Tue May 12 20:01:20 2026 elapsed time 05:38:43
  438. Wed May 13 11:47:25 2026
  439. Wed May 13 11:47:26 2026
  440. Wed May 13 11:47:26 2026 Msieve v. 1.54 (SVN unknown)
  441. Wed May 13 11:47:26 2026 random seeds: cfd05800 76b3741d
  442. Wed May 13 11:47:26 2026 Using 20 OpenMP threads
  443. Wed May 13 11:47:26 2026 factoring 18937595770677596419621532775733567010917496398617083185103007659396482236477386247630371621644489507666744151577358121098502129904739575743670144829800502606434109540855070425020323288023 (188 digits)
  444. Wed May 13 11:47:26 2026 no P-1/P+1/ECM available, skipping
  445. Wed May 13 11:47:26 2026 commencing number field sieve (188-digit input)
  446. Wed May 13 11:47:26 2026 R0: 1922702808685887112972393367573106069
  447. Wed May 13 11:47:26 2026 R1: -91942965725243150385971
  448. Wed May 13 11:47:26 2026 A0: 23352352321474319627845861510818313872013440
  449. Wed May 13 11:47:26 2026 A1: 8341865982994090958702607573543565348
  450. Wed May 13 11:47:26 2026 A2: 59945215556028600169619277363
  451. Wed May 13 11:47:26 2026 A3: -11408454022916216103781
  452. Wed May 13 11:47:26 2026 A4: -527917664855118
  453. Wed May 13 11:47:26 2026 A5: 4324320
  454. Wed May 13 11:47:26 2026 skew 1.00, size 3.304e-18, alpha -8.014, combined = 1.492e-16 rroots = 3
  455. Wed May 13 11:47:26 2026
  456. Wed May 13 11:47:26 2026 commencing linear algebra
  457. Wed May 13 11:47:26 2026 using VBITS=64
  458. Wed May 13 11:47:26 2026 skipping matrix build
  459. Wed May 13 11:47:33 2026 matrix starts at (0, 0)
  460. Wed May 13 11:47:35 2026 matrix is 23407805 x 23407983 (9556.7 MB) with weight 2965025094 (126.67/col)
  461. Wed May 13 11:47:35 2026 sparse part has weight 2224328189 (95.02/col)
  462. Wed May 13 11:47:35 2026 saving the first 48 matrix rows for later
  463. Wed May 13 11:47:37 2026 matrix includes 64 packed rows
  464. Wed May 13 11:47:41 2026 matrix is 23407757 x 23407983 (9349.2 MB) with weight 2491709858 (106.45/col)
  465. Wed May 13 11:47:41 2026 sparse part has weight 2216756588 (94.70/col)
  466. Wed May 13 11:47:41 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  467. Wed May 13 11:47:41 2026 selected card has CUDA arch 12.0
  468. Wed May 13 11:49:32 2026 commencing Lanczos iteration
  469. Wed May 13 11:49:33 2026 memory use: 18698.4 MB
  470. Wed May 13 11:50:06 2026 checking every 30000 dimensions, checkpointing every 2100000 dimensions
  471. Wed May 13 11:50:25 2026 linear algebra at 0.1%, ETA 11h 7m
  472. Wed May 13 22:48:37 2026 lanczos halted after 370170 iterations (dim = 23407757)
  473. Wed May 13 22:48:46 2026 recovered 32 nontrivial dependencies
  474. Wed May 13 22:48:46 2026 BLanczosTime: 39680
  475. Wed May 13 22:48:46 2026 elapsed time 11:01:20
  476. Wed May 13 19:38:16 2026
  477. Wed May 13 19:38:16 2026
  478. Wed May 13 19:38:16 2026 Msieve v. 1.54 (SVN unknown)
  479. Wed May 13 19:38:16 2026 random seeds: 8ddf5675 b08b8cda
  480. Wed May 13 19:38:16 2026 Using 14 OpenMP threads
  481. Wed May 13 19:38:16 2026 factoring 18937595770677596419621532775733567010917496398617083185103007659396482236477386247630371621644489507666744151577358121098502129904739575743670144829800502606434109540855070425020323288023 (188 digits)
  482. Wed May 13 19:38:16 2026 no P-1/P+1/ECM available, skipping
  483. Wed May 13 19:38:16 2026 commencing number field sieve (188-digit input)
  484. Wed May 13 19:38:16 2026 R0: 1922702808685887112972393367573106069
  485. Wed May 13 19:38:16 2026 R1: -91942965725243150385971
  486. Wed May 13 19:38:16 2026 A0: 23352352321474319627845861510818313872013440
  487. Wed May 13 19:38:16 2026 A1: 8341865982994090958702607573543565348
  488. Wed May 13 19:38:16 2026 A2: 59945215556028600169619277363
  489. Wed May 13 19:38:16 2026 A3: -11408454022916216103781
  490. Wed May 13 19:38:16 2026 A4: -527917664855118
  491. Wed May 13 19:38:16 2026 A5: 4324320
  492. Wed May 13 19:38:16 2026 skew 1.00, size 3.304e-18, alpha -8.014, combined = 1.492e-16 rroots = 3
  493. Wed May 13 19:38:16 2026
  494. Wed May 13 19:38:16 2026 commencing square root phase
  495. Wed May 13 19:38:16 2026 reading relations for dependency 1
  496. Wed May 13 19:38:18 2026 read 11705994 cycles
  497. Wed May 13 19:38:31 2026 cycles contain 39609376 unique relations
  498. Wed May 13 19:42:35 2026 read 39609376 relations
  499. Wed May 13 19:44:24 2026 multiplying 39609376 relations
  500. Wed May 13 19:48:13 2026 multiply complete, coefficients have about 2451.07 million bits
  501. Wed May 13 19:48:18 2026 initial square root is modulo 314351
  502. Wed May 13 19:56:05 2026 GCD is N, no factor found
  503. Wed May 13 19:56:05 2026 reading relations for dependency 2
  504. Wed May 13 19:56:07 2026 read 11699007 cycles
  505. Wed May 13 19:56:20 2026 cycles contain 39582304 unique relations
  506. Wed May 13 20:02:30 2026 read 39582304 relations
  507. Wed May 13 20:04:16 2026 multiplying 39582304 relations
  508. Wed May 13 20:08:10 2026 multiply complete, coefficients have about 2449.39 million bits
  509. Wed May 13 20:08:15 2026 initial square root is modulo 311653
  510. Wed May 13 20:15:56 2026 sqrtTime: 2260
  511. Wed May 13 20:15:56 2026 p62 factor: 46633351645192027202252142039707532072292169337641741523699049
  512. Wed May 13 20:15:56 2026 p126 factor: 406095532544251356494150324988279464813879113984664956405993520884207657582715598815425241491555470363171283424487717167851327
  513. Wed May 13 20:15:56 2026 elapsed time 00:37:40
  514.  
Tags: math
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