kyleaskine

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Mar 18th, 2026
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  1. Tue Feb 24 21:26:18 2026
  2. Tue Feb 24 21:26:18 2026
  3. Tue Feb 24 21:26:18 2026 Msieve v. 1.54 (SVN 1018)
  4. Tue Feb 24 21:26:18 2026 random seeds: 333e6f20 ca67c7b5
  5. Tue Feb 24 21:26:18 2026 factoring 1183862697534914475257274124612751199968040538993298666581573897004033730751611690601001227397203413962765706313315194593041811184091011719170763627719094054797200672536521702260852490376631288431 (196 digits)
  6. Tue Feb 24 21:26:18 2026 searching for 15-digit factors
  7. Tue Feb 24 21:26:19 2026 commencing number field sieve (196-digit input)
  8. Tue Feb 24 21:26:19 2026 R0: -45417495344131457107228863797190861234
  9. Tue Feb 24 21:26:19 2026 R1: 54090948967851431067739
  10. Tue Feb 24 21:26:19 2026 A0: -3577624461610698154626562550238557426696480973
  11. Tue Feb 24 21:26:19 2026 A1: 430075912537991854749606242920122763847
  12. Tue Feb 24 21:26:19 2026 A2: 28839674017101760703822727628275
  13. Tue Feb 24 21:26:19 2026 A3: -337717774667958703420223
  14. Tue Feb 24 21:26:19 2026 A4: -16114812568763622
  15. Tue Feb 24 21:26:19 2026 A5: 128648520
  16. Tue Feb 24 21:26:19 2026 skew 1.00, size 4.244e-019, alpha -8.240, combined = 3.557e-017 rroots = 5
  17. Tue Feb 24 21:26:19 2026
  18. Tue Feb 24 21:26:19 2026 commencing relation filtering
  19. Tue Feb 24 21:26:19 2026 setting target matrix density to 126.0
  20. Tue Feb 24 21:26:19 2026 estimated available RAM is 130978.7 MB
  21. Tue Feb 24 21:26:19 2026 commencing duplicate removal, pass 1
  22. Tue Feb 24 21:27:20 2026 error -15 reading relation 6776954
  23. Tue Feb 24 21:28:11 2026 error -5 reading relation 12344293
  24. Tue Feb 24 21:29:51 2026 error -15 reading relation 23404999
  25. Tue Feb 24 21:30:01 2026 error -6 reading relation 24554377
  26. Tue Feb 24 23:50:02 2026 error -15 reading relation 1036297340
  27. Tue Feb 24 23:50:02 2026 error -9 reading relation 1036303153
  28. Tue Feb 24 23:50:03 2026 error -15 reading relation 1036343417
  29. Tue Feb 24 23:50:05 2026 error -9 reading relation 1036681488
  30. Tue Feb 24 23:50:06 2026 error -15 reading relation 1036724726
  31. Tue Feb 24 23:50:06 2026 error -15 reading relation 1036732891
  32. Tue Feb 24 23:50:06 2026 error -15 reading relation 1036770674
  33. Tue Feb 24 23:50:06 2026 error -9 reading relation 1036794501
  34. Tue Feb 24 23:50:12 2026 skipped 1 relations with b > 2^32
  35. Tue Feb 24 23:50:12 2026 skipped 924 relations with composite factors
  36. Tue Feb 24 23:50:12 2026 found 325797816 hash collisions in 1037409503 relations
  37. Tue Feb 24 23:50:44 2026 commencing duplicate removal, pass 2
  38. Wed Feb 25 00:12:50 2026 found 363017190 duplicates and 674392313 unique relations
  39. Wed Feb 25 00:12:50 2026 memory use: 8780.0 MB
  40. Wed Feb 25 00:12:51 2026 reading ideals above 534970368
  41. Wed Feb 25 00:12:51 2026 commencing singleton removal, initial pass
  42. Wed Feb 25 01:31:20 2026 memory use: 11024.0 MB
  43. Wed Feb 25 01:31:21 2026 reading all ideals from disk
  44. Wed Feb 25 01:31:27 2026 memory use: 11829.7 MB
  45. Wed Feb 25 01:32:30 2026 commencing in-memory singleton removal
  46. Wed Feb 25 01:33:33 2026 begin with 674392313 relations and 569241744 unique ideals
  47. Wed Feb 25 01:44:11 2026 reduce to 424210525 relations and 294253985 ideals in 15 passes
  48. Wed Feb 25 01:44:12 2026 max relations containing the same ideal: 34
  49. Wed Feb 25 01:45:16 2026 reading ideals above 720000
  50. Wed Feb 25 01:45:17 2026 commencing singleton removal, initial pass
  51. Wed Feb 25 02:56:22 2026 memory use: 11024.0 MB
  52. Wed Feb 25 02:56:24 2026 reading all ideals from disk
  53. Wed Feb 25 02:56:37 2026 memory use: 18363.6 MB
  54. Wed Feb 25 02:58:50 2026 keeping 348189784 ideals with weight <= 200, target excess is 2248769
  55. Wed Feb 25 03:01:08 2026 commencing in-memory singleton removal
  56. Wed Feb 25 03:02:59 2026 begin with 424210526 relations and 348189784 unique ideals
  57. Wed Feb 25 03:18:45 2026 reduce to 424109415 relations and 348088664 ideals in 9 passes
  58. Wed Feb 25 03:18:45 2026 max relations containing the same ideal: 200
  59. Wed Feb 25 03:26:16 2026 removing 14939190 relations and 12939190 ideals in 2000000 cliques
  60. Wed Feb 25 03:26:25 2026 commencing in-memory singleton removal
  61. Wed Feb 25 03:28:10 2026 begin with 409170225 relations and 348088664 unique ideals
  62. Wed Feb 25 03:40:03 2026 reduce to 408787343 relations and 334764061 ideals in 7 passes
  63. Wed Feb 25 03:40:04 2026 max relations containing the same ideal: 200
  64. Wed Feb 25 03:47:19 2026 removing 11268440 relations and 9268440 ideals in 2000000 cliques
  65. Wed Feb 25 03:47:27 2026 commencing in-memory singleton removal
  66. Wed Feb 25 03:49:09 2026 begin with 397518903 relations and 334764061 unique ideals
  67. Wed Feb 25 04:00:26 2026 reduce to 397276636 relations and 325252048 ideals in 7 passes
  68. Wed Feb 25 04:00:27 2026 max relations containing the same ideal: 199
  69. Wed Feb 25 04:07:41 2026 removing 10101889 relations and 8101889 ideals in 2000000 cliques
  70. Wed Feb 25 04:07:48 2026 commencing in-memory singleton removal
  71. Wed Feb 25 04:09:32 2026 begin with 387174747 relations and 325252048 unique ideals
  72. Wed Feb 25 04:21:14 2026 reduce to 386970730 relations and 316945073 ideals in 7 passes
  73. Wed Feb 25 04:21:14 2026 max relations containing the same ideal: 197
  74. Wed Feb 25 04:28:09 2026 removing 9434544 relations and 7434544 ideals in 2000000 cliques
  75. Wed Feb 25 04:28:16 2026 commencing in-memory singleton removal
  76. Wed Feb 25 04:29:57 2026 begin with 377536186 relations and 316945073 unique ideals
  77. Wed Feb 25 04:41:08 2026 reduce to 377352032 relations and 309325450 ideals in 7 passes
  78. Wed Feb 25 04:41:08 2026 max relations containing the same ideal: 195
  79. Wed Feb 25 04:47:49 2026 removing 8981927 relations and 6981927 ideals in 2000000 cliques
  80. Wed Feb 25 04:47:56 2026 commencing in-memory singleton removal
  81. Wed Feb 25 04:49:35 2026 begin with 368370105 relations and 309325450 unique ideals
  82. Wed Feb 25 05:00:31 2026 reduce to 368198085 relations and 302170603 ideals in 7 passes
  83. Wed Feb 25 05:00:31 2026 max relations containing the same ideal: 194
  84. Wed Feb 25 05:07:04 2026 removing 8653859 relations and 6653859 ideals in 2000000 cliques
  85. Wed Feb 25 05:07:11 2026 commencing in-memory singleton removal
  86. Wed Feb 25 05:08:41 2026 begin with 359544226 relations and 302170603 unique ideals
  87. Wed Feb 25 05:18:37 2026 reduce to 359380362 relations and 295352006 ideals in 7 passes
  88. Wed Feb 25 05:18:38 2026 max relations containing the same ideal: 189
  89. Wed Feb 25 05:24:59 2026 removing 8399056 relations and 6399056 ideals in 2000000 cliques
  90. Wed Feb 25 05:25:06 2026 commencing in-memory singleton removal
  91. Wed Feb 25 05:26:35 2026 begin with 350981306 relations and 295352006 unique ideals
  92. Wed Feb 25 05:36:30 2026 reduce to 350822213 relations and 288793009 ideals in 7 passes
  93. Wed Feb 25 05:36:31 2026 max relations containing the same ideal: 187
  94. Wed Feb 25 05:42:37 2026 removing 8197108 relations and 6197108 ideals in 2000000 cliques
  95. Wed Feb 25 05:42:44 2026 commencing in-memory singleton removal
  96. Wed Feb 25 05:44:08 2026 begin with 342625105 relations and 288793009 unique ideals
  97. Wed Feb 25 05:53:26 2026 reduce to 342468327 relations and 282438255 ideals in 7 passes
  98. Wed Feb 25 05:53:26 2026 max relations containing the same ideal: 185
  99. Wed Feb 25 05:59:24 2026 removing 8034302 relations and 6034302 ideals in 2000000 cliques
  100. Wed Feb 25 05:59:30 2026 commencing in-memory singleton removal
  101. Wed Feb 25 06:00:50 2026 begin with 334434025 relations and 282438255 unique ideals
  102. Wed Feb 25 06:09:51 2026 reduce to 334280584 relations and 276249648 ideals in 7 passes
  103. Wed Feb 25 06:09:51 2026 max relations containing the same ideal: 183
  104. Wed Feb 25 06:15:35 2026 removing 7901909 relations and 5901909 ideals in 2000000 cliques
  105. Wed Feb 25 06:15:41 2026 commencing in-memory singleton removal
  106. Wed Feb 25 06:17:00 2026 begin with 326378675 relations and 276249648 unique ideals
  107. Wed Feb 25 06:25:47 2026 reduce to 326226276 relations and 270194495 ideals in 7 passes
  108. Wed Feb 25 06:25:48 2026 max relations containing the same ideal: 180
  109. Wed Feb 25 06:31:23 2026 removing 7785696 relations and 5785696 ideals in 2000000 cliques
  110. Wed Feb 25 06:31:29 2026 commencing in-memory singleton removal
  111. Wed Feb 25 06:32:46 2026 begin with 318440580 relations and 270194495 unique ideals
  112. Wed Feb 25 06:41:16 2026 reduce to 318288845 relations and 264256155 ideals in 7 passes
  113. Wed Feb 25 06:41:17 2026 max relations containing the same ideal: 175
  114. Wed Feb 25 06:46:43 2026 removing 7693836 relations and 5693836 ideals in 2000000 cliques
  115. Wed Feb 25 06:46:49 2026 commencing in-memory singleton removal
  116. Wed Feb 25 06:48:06 2026 begin with 310595009 relations and 264256155 unique ideals
  117. Wed Feb 25 06:56:43 2026 reduce to 310443507 relations and 258409932 ideals in 7 passes
  118. Wed Feb 25 06:56:44 2026 max relations containing the same ideal: 174
  119. Wed Feb 25 07:02:01 2026 removing 7616850 relations and 5616850 ideals in 2000000 cliques
  120. Wed Feb 25 07:02:07 2026 commencing in-memory singleton removal
  121. Wed Feb 25 07:03:19 2026 begin with 302826657 relations and 258409932 unique ideals
  122. Wed Feb 25 07:10:06 2026 reduce to 302673858 relations and 252639340 ideals in 6 passes
  123. Wed Feb 25 07:10:06 2026 max relations containing the same ideal: 172
  124. Wed Feb 25 07:15:11 2026 removing 7557063 relations and 5557063 ideals in 2000000 cliques
  125. Wed Feb 25 07:15:16 2026 commencing in-memory singleton removal
  126. Wed Feb 25 07:16:27 2026 begin with 295116795 relations and 252639340 unique ideals
  127. Wed Feb 25 07:23:05 2026 reduce to 294964575 relations and 246929069 ideals in 6 passes
  128. Wed Feb 25 07:23:06 2026 max relations containing the same ideal: 171
  129. Wed Feb 25 07:28:10 2026 removing 7499982 relations and 5499982 ideals in 2000000 cliques
  130. Wed Feb 25 07:28:16 2026 commencing in-memory singleton removal
  131. Wed Feb 25 07:29:23 2026 begin with 287464593 relations and 246929069 unique ideals
  132. Wed Feb 25 07:36:46 2026 reduce to 287310819 relations and 241274274 ideals in 7 passes
  133. Wed Feb 25 07:36:47 2026 max relations containing the same ideal: 166
  134. Wed Feb 25 07:41:39 2026 removing 7452679 relations and 5452679 ideals in 2000000 cliques
  135. Wed Feb 25 07:41:44 2026 commencing in-memory singleton removal
  136. Wed Feb 25 07:42:50 2026 begin with 279858140 relations and 241274274 unique ideals
  137. Wed Feb 25 07:49:01 2026 reduce to 279701990 relations and 235664432 ideals in 6 passes
  138. Wed Feb 25 07:49:02 2026 max relations containing the same ideal: 164
  139. Wed Feb 25 07:53:49 2026 removing 7415772 relations and 5415772 ideals in 2000000 cliques
  140. Wed Feb 25 07:53:54 2026 commencing in-memory singleton removal
  141. Wed Feb 25 07:55:02 2026 begin with 272286218 relations and 235664432 unique ideals
  142. Wed Feb 25 08:01:25 2026 reduce to 272128039 relations and 230089343 ideals in 6 passes
  143. Wed Feb 25 08:01:26 2026 max relations containing the same ideal: 160
  144. Wed Feb 25 08:06:13 2026 removing 7383634 relations and 5383634 ideals in 2000000 cliques
  145. Wed Feb 25 08:06:19 2026 commencing in-memory singleton removal
  146. Wed Feb 25 08:07:20 2026 begin with 264744405 relations and 230089343 unique ideals
  147. Wed Feb 25 08:13:06 2026 reduce to 264582911 relations and 224543041 ideals in 6 passes
  148. Wed Feb 25 08:13:07 2026 max relations containing the same ideal: 157
  149. Wed Feb 25 08:17:44 2026 removing 7364060 relations and 5364060 ideals in 2000000 cliques
  150. Wed Feb 25 08:17:49 2026 commencing in-memory singleton removal
  151. Wed Feb 25 08:18:47 2026 begin with 257218851 relations and 224543041 unique ideals
  152. Wed Feb 25 08:24:18 2026 reduce to 257054181 relations and 219013040 ideals in 6 passes
  153. Wed Feb 25 08:24:19 2026 max relations containing the same ideal: 155
  154. Wed Feb 25 08:28:34 2026 removing 7343824 relations and 5343824 ideals in 2000000 cliques
  155. Wed Feb 25 08:28:39 2026 commencing in-memory singleton removal
  156. Wed Feb 25 08:29:36 2026 begin with 249710357 relations and 219013040 unique ideals
  157. Wed Feb 25 08:34:55 2026 reduce to 249542316 relations and 213499883 ideals in 6 passes
  158. Wed Feb 25 08:34:55 2026 max relations containing the same ideal: 150
  159. Wed Feb 25 08:39:10 2026 removing 7332179 relations and 5332179 ideals in 2000000 cliques
  160. Wed Feb 25 08:39:16 2026 commencing in-memory singleton removal
  161. Wed Feb 25 08:40:12 2026 begin with 242210137 relations and 213499883 unique ideals
  162. Wed Feb 25 08:46:29 2026 reduce to 242038121 relations and 207994393 ideals in 7 passes
  163. Wed Feb 25 08:46:30 2026 max relations containing the same ideal: 148
  164. Wed Feb 25 08:50:42 2026 removing 7325504 relations and 5325504 ideals in 2000000 cliques
  165. Wed Feb 25 08:50:47 2026 commencing in-memory singleton removal
  166. Wed Feb 25 08:51:39 2026 begin with 234712617 relations and 207994393 unique ideals
  167. Wed Feb 25 08:56:38 2026 reduce to 234535233 relations and 202490056 ideals in 6 passes
  168. Wed Feb 25 08:56:38 2026 max relations containing the same ideal: 147
  169. Wed Feb 25 09:00:32 2026 removing 7323427 relations and 5323427 ideals in 2000000 cliques
  170. Wed Feb 25 09:00:37 2026 commencing in-memory singleton removal
  171. Wed Feb 25 09:01:28 2026 begin with 227211806 relations and 202490056 unique ideals
  172. Wed Feb 25 09:06:16 2026 reduce to 227031674 relations and 196984973 ideals in 6 passes
  173. Wed Feb 25 09:06:16 2026 max relations containing the same ideal: 144
  174. Wed Feb 25 09:10:08 2026 removing 7321721 relations and 5321721 ideals in 2000000 cliques
  175. Wed Feb 25 09:10:13 2026 commencing in-memory singleton removal
  176. Wed Feb 25 09:11:04 2026 begin with 219709953 relations and 196984973 unique ideals
  177. Wed Feb 25 09:15:55 2026 reduce to 219521807 relations and 191473480 ideals in 6 passes
  178. Wed Feb 25 09:15:55 2026 max relations containing the same ideal: 139
  179. Wed Feb 25 09:19:42 2026 removing 7335213 relations and 5335213 ideals in 2000000 cliques
  180. Wed Feb 25 09:19:46 2026 commencing in-memory singleton removal
  181. Wed Feb 25 09:20:32 2026 begin with 212186594 relations and 191473480 unique ideals
  182. Wed Feb 25 09:24:55 2026 reduce to 211993861 relations and 185943881 ideals in 6 passes
  183. Wed Feb 25 09:24:55 2026 max relations containing the same ideal: 138
  184. Wed Feb 25 09:28:23 2026 removing 7344457 relations and 5344457 ideals in 2000000 cliques
  185. Wed Feb 25 09:28:27 2026 commencing in-memory singleton removal
  186. Wed Feb 25 09:29:12 2026 begin with 204649404 relations and 185943881 unique ideals
  187. Wed Feb 25 09:33:22 2026 reduce to 204450388 relations and 180398676 ideals in 6 passes
  188. Wed Feb 25 09:33:23 2026 max relations containing the same ideal: 135
  189. Wed Feb 25 09:36:42 2026 removing 7359563 relations and 5359563 ideals in 2000000 cliques
  190. Wed Feb 25 09:36:46 2026 commencing in-memory singleton removal
  191. Wed Feb 25 09:37:29 2026 begin with 197090825 relations and 180398676 unique ideals
  192. Wed Feb 25 09:42:12 2026 reduce to 196883725 relations and 174830062 ideals in 7 passes
  193. Wed Feb 25 09:42:12 2026 max relations containing the same ideal: 129
  194. Wed Feb 25 09:45:31 2026 removing 7383088 relations and 5383088 ideals in 2000000 cliques
  195. Wed Feb 25 09:45:35 2026 commencing in-memory singleton removal
  196. Wed Feb 25 09:46:18 2026 begin with 189500637 relations and 174830062 unique ideals
  197. Wed Feb 25 09:51:04 2026 reduce to 189283984 relations and 169228238 ideals in 7 passes
  198. Wed Feb 25 09:51:04 2026 max relations containing the same ideal: 124
  199. Wed Feb 25 09:54:12 2026 removing 7411834 relations and 5411834 ideals in 2000000 cliques
  200. Wed Feb 25 09:54:17 2026 commencing in-memory singleton removal
  201. Wed Feb 25 09:54:57 2026 begin with 181872150 relations and 169228238 unique ideals
  202. Wed Feb 25 09:59:26 2026 reduce to 181647916 relations and 163589956 ideals in 7 passes
  203. Wed Feb 25 09:59:27 2026 max relations containing the same ideal: 121
  204. Wed Feb 25 10:02:34 2026 removing 7444918 relations and 5444918 ideals in 2000000 cliques
  205. Wed Feb 25 10:02:38 2026 commencing in-memory singleton removal
  206. Wed Feb 25 10:03:15 2026 begin with 174202998 relations and 163589956 unique ideals
  207. Wed Feb 25 10:07:22 2026 reduce to 173968125 relations and 157907842 ideals in 7 passes
  208. Wed Feb 25 10:07:22 2026 max relations containing the same ideal: 118
  209. Wed Feb 25 10:10:14 2026 removing 7481923 relations and 5481923 ideals in 2000000 cliques
  210. Wed Feb 25 10:10:18 2026 commencing in-memory singleton removal
  211. Wed Feb 25 10:10:54 2026 begin with 166486202 relations and 157907842 unique ideals
  212. Wed Feb 25 10:14:57 2026 reduce to 166238638 relations and 152175686 ideals in 7 passes
  213. Wed Feb 25 10:14:57 2026 max relations containing the same ideal: 114
  214. Wed Feb 25 10:17:45 2026 removing 7529984 relations and 5529984 ideals in 2000000 cliques
  215. Wed Feb 25 10:17:49 2026 commencing in-memory singleton removal
  216. Wed Feb 25 10:18:21 2026 begin with 158708654 relations and 152175686 unique ideals
  217. Wed Feb 25 10:22:03 2026 reduce to 158447987 relations and 146382241 ideals in 7 passes
  218. Wed Feb 25 10:22:04 2026 max relations containing the same ideal: 112
  219. Wed Feb 25 10:24:39 2026 removing 7583968 relations and 5583968 ideals in 2000000 cliques
  220. Wed Feb 25 10:24:43 2026 commencing in-memory singleton removal
  221. Wed Feb 25 10:25:16 2026 begin with 150864019 relations and 146382241 unique ideals
  222. Wed Feb 25 10:28:57 2026 reduce to 150587033 relations and 140518090 ideals in 7 passes
  223. Wed Feb 25 10:28:57 2026 max relations containing the same ideal: 108
  224. Wed Feb 25 10:31:26 2026 removing 7646644 relations and 5646644 ideals in 2000000 cliques
  225. Wed Feb 25 10:31:30 2026 commencing in-memory singleton removal
  226. Wed Feb 25 10:32:00 2026 begin with 142940389 relations and 140518090 unique ideals
  227. Wed Feb 25 10:35:17 2026 reduce to 142643786 relations and 134571356 ideals in 7 passes
  228. Wed Feb 25 10:35:17 2026 max relations containing the same ideal: 104
  229. Wed Feb 25 10:37:37 2026 removing 7722343 relations and 5722343 ideals in 2000000 cliques
  230. Wed Feb 25 10:37:40 2026 commencing in-memory singleton removal
  231. Wed Feb 25 10:38:08 2026 begin with 134921443 relations and 134571356 unique ideals
  232. Wed Feb 25 10:41:39 2026 reduce to 134603390 relations and 128527094 ideals in 8 passes
  233. Wed Feb 25 10:41:40 2026 max relations containing the same ideal: 100
  234. Wed Feb 25 10:43:52 2026 removing 7805215 relations and 5805215 ideals in 2000000 cliques
  235. Wed Feb 25 10:43:55 2026 commencing in-memory singleton removal
  236. Wed Feb 25 10:44:21 2026 begin with 126798175 relations and 128527094 unique ideals
  237. Wed Feb 25 10:47:15 2026 reduce to 126451021 relations and 122370356 ideals in 7 passes
  238. Wed Feb 25 10:47:16 2026 max relations containing the same ideal: 95
  239. Wed Feb 25 10:49:20 2026 removing 6151265 relations and 4679173 ideals in 1472092 cliques
  240. Wed Feb 25 10:49:24 2026 commencing in-memory singleton removal
  241. Wed Feb 25 10:49:48 2026 begin with 120299756 relations and 122370356 unique ideals
  242. Wed Feb 25 10:52:33 2026 reduce to 120073025 relations and 117462204 ideals in 7 passes
  243. Wed Feb 25 10:52:34 2026 max relations containing the same ideal: 93
  244. Wed Feb 25 10:54:46 2026 relations with 0 large ideals: 7738
  245. Wed Feb 25 10:54:46 2026 relations with 1 large ideals: 45775
  246. Wed Feb 25 10:54:46 2026 relations with 2 large ideals: 640954
  247. Wed Feb 25 10:54:46 2026 relations with 3 large ideals: 3906588
  248. Wed Feb 25 10:54:46 2026 relations with 4 large ideals: 12939821
  249. Wed Feb 25 10:54:46 2026 relations with 5 large ideals: 25865922
  250. Wed Feb 25 10:54:46 2026 relations with 6 large ideals: 32666340
  251. Wed Feb 25 10:54:46 2026 relations with 7+ large ideals: 43999887
  252. Wed Feb 25 10:54:46 2026 commencing 2-way merge
  253. Wed Feb 25 10:57:26 2026 reduce to 76811806 relation sets and 74200985 unique ideals
  254. Wed Feb 25 10:57:26 2026 commencing full merge
  255. Wed Feb 25 11:44:33 2026 memory use: 8777.7 MB
  256. Wed Feb 25 11:44:57 2026 found 34438051 cycles, need 34199185
  257. Wed Feb 25 11:44:59 2026 weight of 34199185 cycles is about 4309359180 (126.01/cycle)
  258. Wed Feb 25 11:44:59 2026 distribution of cycle lengths:
  259. Wed Feb 25 11:44:59 2026 1 relations: 1645876
  260. Wed Feb 25 11:44:59 2026 2 relations: 2166108
  261. Wed Feb 25 11:44:59 2026 3 relations: 2508031
  262. Wed Feb 25 11:44:59 2026 4 relations: 2566043
  263. Wed Feb 25 11:44:59 2026 5 relations: 2639111
  264. Wed Feb 25 11:44:59 2026 6 relations: 2591945
  265. Wed Feb 25 11:44:59 2026 7 relations: 2528776
  266. Wed Feb 25 11:44:59 2026 8 relations: 2414125
  267. Wed Feb 25 11:44:59 2026 9 relations: 2273254
  268. Wed Feb 25 11:44:59 2026 10+ relations: 12865916
  269. Wed Feb 25 11:44:59 2026 heaviest cycle: 28 relations
  270. Wed Feb 25 11:47:52 2026 commencing cycle optimization
  271. Wed Feb 25 11:49:32 2026 start with 289055497 relations
  272. Wed Feb 25 12:10:22 2026 pruned 12084605 relations
  273. Wed Feb 25 12:10:23 2026 memory use: 7937.8 MB
  274. Wed Feb 25 12:10:24 2026 distribution of cycle lengths:
  275. Wed Feb 25 12:10:24 2026 1 relations: 1645876
  276. Wed Feb 25 12:10:24 2026 2 relations: 2224971
  277. Wed Feb 25 12:10:24 2026 3 relations: 2615966
  278. Wed Feb 25 12:10:24 2026 4 relations: 2670913
  279. Wed Feb 25 12:10:24 2026 5 relations: 2761107
  280. Wed Feb 25 12:10:24 2026 6 relations: 2706950
  281. Wed Feb 25 12:10:24 2026 7 relations: 2646666
  282. Wed Feb 25 12:10:24 2026 8 relations: 2518015
  283. Wed Feb 25 12:10:24 2026 9 relations: 2363027
  284. Wed Feb 25 12:10:24 2026 10+ relations: 12045694
  285. Wed Feb 25 12:10:24 2026 heaviest cycle: 28 relations
  286. Wed Feb 25 12:14:21 2026 RelProcTime: 53282
  287. Wed Feb 25 12:14:21 2026
  288. Wed Feb 25 12:14:21 2026 commencing linear algebra
  289. Wed Feb 25 12:14:36 2026 read 34199185 cycles
  290. Wed Feb 25 12:16:30 2026 cycles contain 118676461 unique relations
  291. Wed Feb 25 12:37:39 2026 read 118676461 relations
  292. Wed Feb 25 12:43:53 2026 using 20 quadratic characters above 4294917295
  293. Wed Feb 25 12:52:13 2026 building initial matrix
  294. Wed Feb 25 13:24:21 2026 memory use: 16815.3 MB
  295. Wed Feb 25 13:25:59 2026 read 34199185 cycles
  296. Wed Feb 25 13:26:07 2026 matrix is 34199008 x 34199185 (16920.5 MB) with weight 5138816195 (150.26/col)
  297. Wed Feb 25 13:26:07 2026 sparse part has weight 4025217284 (117.70/col)
  298. Wed Feb 25 13:44:11 2026 filtering completed in 2 passes
  299. Wed Feb 25 13:44:20 2026 matrix is 34197648 x 34197825 (16920.4 MB) with weight 5138753196 (150.27/col)
  300. Wed Feb 25 13:44:20 2026 sparse part has weight 4025200084 (117.70/col)
  301. Wed Feb 25 13:51:41 2026 matrix starts at (0, 0)
  302. Wed Feb 25 13:51:49 2026 matrix is 34197648 x 34197825 (16920.4 MB) with weight 5138753196 (150.27/col)
  303. Wed Feb 25 13:51:49 2026 sparse part has weight 4025200084 (117.70/col)
  304. Wed Feb 25 13:51:49 2026 saving the first 48 matrix rows for later
  305. Wed Feb 25 13:52:01 2026 matrix includes 64 packed rows
  306. Wed Feb 25 13:52:07 2026 matrix is 34197600 x 34197825 (16461.8 MB) with weight 4419191401 (129.22/col)
  307. Wed Feb 25 13:52:07 2026 sparse part has weight 3973376021 (116.19/col)
  308. Wed Feb 25 13:52:07 2026 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  309. Wed Feb 25 13:58:02 2026 commencing Lanczos iteration (24 threads)
  310. Wed Feb 25 13:58:03 2026 memory use: 14175.6 MB
  311. Wed Feb 25 13:59:33 2026 linear algebra at 0.0%, ETA 537h26m
  312. Wed Feb 25 14:00:03 2026 checkpointing every 70000 dimensions
  313. Thu Feb 26 19:30:02 2026
  314. Thu Feb 26 19:30:02 2026
  315. Thu Feb 26 19:30:02 2026 Msieve v. 1.54 (SVN 1018)
  316. Thu Feb 26 19:30:02 2026 random seeds: aea72f80 efeac938
  317. Thu Feb 26 19:30:02 2026 factoring 1183862697534914475257274124612751199968040538993298666581573897004033730751611690601001227397203413962765706313315194593041811184091011719170763627719094054797200672536521702260852490376631288431 (196 digits)
  318. Thu Feb 26 19:30:03 2026 searching for 15-digit factors
  319. Thu Feb 26 19:30:03 2026 commencing number field sieve (196-digit input)
  320. Thu Feb 26 19:30:03 2026 R0: -45417495344131457107228863797190861234
  321. Thu Feb 26 19:30:03 2026 R1: 54090948967851431067739
  322. Thu Feb 26 19:30:03 2026 A0: -3577624461610698154626562550238557426696480973
  323. Thu Feb 26 19:30:03 2026 A1: 430075912537991854749606242920122763847
  324. Thu Feb 26 19:30:03 2026 A2: 28839674017101760703822727628275
  325. Thu Feb 26 19:30:03 2026 A3: -337717774667958703420223
  326. Thu Feb 26 19:30:03 2026 A4: -16114812568763622
  327. Thu Feb 26 19:30:03 2026 A5: 128648520
  328. Thu Feb 26 19:30:03 2026 skew 1.00, size 4.244e-019, alpha -8.240, combined = 3.557e-017 rroots = 5
  329. Thu Feb 26 19:30:03 2026
  330. Thu Feb 26 19:30:03 2026 commencing linear algebra
  331. Thu Feb 26 19:37:08 2026 matrix starts at (0, 0)
  332. Thu Feb 26 19:37:16 2026 matrix is 34197648 x 34197825 (16920.4 MB) with weight 5138753196 (150.27/col)
  333. Thu Feb 26 19:37:16 2026 sparse part has weight 4025200084 (117.70/col)
  334. Thu Feb 26 19:37:16 2026 saving the first 48 matrix rows for later
  335. Thu Feb 26 19:37:26 2026 matrix includes 64 packed rows
  336. Thu Feb 26 19:37:31 2026 matrix is 34197600 x 34197825 (16461.8 MB) with weight 4419191401 (129.22/col)
  337. Thu Feb 26 19:37:31 2026 sparse part has weight 3973376021 (116.19/col)
  338. Thu Feb 26 19:37:31 2026 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  339. Thu Feb 26 19:42:32 2026 commencing Lanczos iteration (24 threads)
  340. Thu Feb 26 19:42:32 2026 memory use: 14175.6 MB
  341. Thu Feb 26 19:43:06 2026 restarting at iteration 27676 (dim = 1750058)
  342. Thu Feb 26 19:44:19 2026 linear algebra at 5.1%, ETA 433h 8m
  343. Thu Feb 26 19:44:41 2026 checkpointing every 80000 dimensions
  344. Wed Mar 18 00:38:11 2026 lanczos halted after 540805 iterations (dim = 34197600)
  345. Wed Mar 18 00:38:47 2026 recovered 30 nontrivial dependencies
  346. Wed Mar 18 00:40:06 2026 BLanczosTime: 1656603
  347. Wed Mar 18 00:40:07 2026
  348. Wed Mar 18 00:40:07 2026 commencing square root phase
  349. Wed Mar 18 00:40:07 2026 reading relations for dependency 1
  350. Wed Mar 18 00:41:31 2026 read 17103431 cycles
  351. Wed Mar 18 00:42:13 2026 cycles contain 59345176 unique relations
  352. Wed Mar 18 01:43:41 2026 read 59345176 relations
  353. Wed Mar 18 01:49:45 2026 multiplying 59345176 relations
  354. Wed Mar 18 03:15:55 2026 multiply complete, coefficients have about 3981.82 million bits
  355. Wed Mar 18 03:16:20 2026 initial square root is modulo 852417103
  356. Wed Mar 18 04:49:55 2026 GCD is 1, no factor found
  357. Wed Mar 18 04:49:55 2026 reading relations for dependency 2
  358. Wed Mar 18 04:50:04 2026 read 17098809 cycles
  359. Wed Mar 18 04:50:46 2026 cycles contain 59334570 unique relations
  360. Wed Mar 18 05:52:19 2026 read 59334570 relations
  361. Wed Mar 18 05:58:22 2026 multiplying 59334570 relations
  362. Wed Mar 18 07:24:31 2026 multiply complete, coefficients have about 3981.12 million bits
  363. Wed Mar 18 07:25:00 2026 initial square root is modulo 849325651
  364. Wed Mar 18 08:57:46 2026 sqrtTime: 29859
  365. Wed Mar 18 08:57:46 2026 p88 factor: 5116008459151371232255438617726429713068087414517747799713263833917804400658061495564567
  366. Wed Mar 18 08:57:46 2026 p108 factor: 231403584843034097389724060818566260521572904291256367685716034265247091373539442399758401972349544632281193
  367. Wed Mar 18 08:57:46 2026 elapsed time 468:27:44
  368.  
Tags: math
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