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  1. Mon Jan 19 23:59:25 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Mon Jan 19 23:59:25 2026 random seeds: 54482f4f 5f1eea3c
  3. Mon Jan 19 23:59:25 2026 Using 32 OpenMP threads
  4. Mon Jan 19 23:59:25 2026 factoring 3147683480675025237998610393029079856474880914803199425301823637674773840304903735065677868758631715394529889896290505006405156033627125551498159215651368422527592728296966001014612995610874859703610219159051008475098991265773916140181977 (238 digits)
  5. Mon Jan 19 23:59:25 2026 no P-1/P+1/ECM available, skipping
  6. Mon Jan 19 23:59:25 2026 commencing number field sieve (238-digit input)
  7. Mon Jan 19 23:59:25 2026 R0: 20232717473185771980494506187498569488525390625
  8. Mon Jan 19 23:59:25 2026 R1: -1648446623609512543951043690496
  9. Mon Jan 19 23:59:25 2026 A0: 144
  10. Mon Jan 19 23:59:25 2026 A1: 0
  11. Mon Jan 19 23:59:25 2026 A2: 0
  12. Mon Jan 19 23:59:25 2026 A3: 0
  13. Mon Jan 19 23:59:25 2026 A4: 0
  14. Mon Jan 19 23:59:25 2026 A5: 0
  15. Mon Jan 19 23:59:25 2026 A6: 1
  16. Mon Jan 19 23:59:25 2026 skew 2.29, size 1.260e-13, alpha 0.090, combined = 2.399e-14 rroots = 0
  17. Mon Jan 19 23:59:25 2026
  18. Mon Jan 19 23:59:25 2026 commencing relation filtering
  19. Mon Jan 19 23:59:25 2026 setting target matrix density to 110.0
  20. Mon Jan 19 23:59:25 2026 estimated available RAM is 128740.1 MB
  21. Mon Jan 19 23:59:25 2026 commencing duplicate removal, pass 1
  22. Tue Jan 20 00:01:18 2026 error -11 reading relation 221741947
  23. Tue Jan 20 00:02:38 2026 error -15 reading relation 375778789
  24. Tue Jan 20 00:03:53 2026 error -11 reading relation 518764965
  25. Tue Jan 20 00:04:33 2026 skipped 1911 relations with b > 2^32
  26. Tue Jan 20 00:04:33 2026 skipped 5 malformed relations
  27. Tue Jan 20 00:04:33 2026 found 19646252 hash collisions in 594285602 relations
  28. Tue Jan 20 00:04:40 2026 added 1219066 free relations
  29. Tue Jan 20 00:04:40 2026 commencing duplicate removal, pass 2
  30. Tue Jan 20 00:06:09 2026 found 0 duplicates and 595504668 unique relations
  31. Tue Jan 20 00:06:09 2026 memory use: 1620.8 MB
  32. Tue Jan 20 00:06:09 2026 reading ideals above 369950720
  33. Tue Jan 20 00:06:09 2026 commencing singleton removal, initial pass
  34. Tue Jan 20 00:14:07 2026 memory use: 11024.0 MB
  35. Tue Jan 20 00:14:07 2026 reading all ideals from disk
  36. Tue Jan 20 00:14:08 2026 memory use: 15203.2 MB
  37. Tue Jan 20 00:14:20 2026 commencing in-memory singleton removal
  38. Tue Jan 20 00:14:25 2026 begin with 595504668 relations and 452795912 unique ideals
  39. Tue Jan 20 00:14:55 2026 reduce to 468394999 relations and 321360298 ideals in 14 passes
  40. Tue Jan 20 00:14:55 2026 max relations containing the same ideal: 54
  41. Tue Jan 20 00:15:02 2026 reading ideals above 720000
  42. Tue Jan 20 00:15:02 2026 commencing singleton removal, initial pass
  43. Tue Jan 20 00:28:28 2026 memory use: 11024.0 MB
  44. Tue Jan 20 00:28:29 2026 reading all ideals from disk
  45. Tue Jan 20 00:28:31 2026 memory use: 23692.5 MB
  46. Tue Jan 20 00:28:53 2026 keeping 358558542 ideals with weight <= 200, target excess is 2430039
  47. Tue Jan 20 00:29:23 2026 commencing in-memory singleton removal
  48. Tue Jan 20 00:29:30 2026 begin with 468394999 relations and 358558542 unique ideals
  49. Tue Jan 20 00:29:50 2026 reduce to 468393892 relations and 358557435 ideals in 5 passes
  50. Tue Jan 20 00:29:50 2026 max relations containing the same ideal: 200
  51. Tue Jan 20 00:31:03 2026 removing 13355176 relations and 11355176 ideals in 2000000 cliques
  52. Tue Jan 20 00:31:09 2026 commencing in-memory singleton removal
  53. Tue Jan 20 00:31:16 2026 begin with 455038716 relations and 358557435 unique ideals
  54. Tue Jan 20 00:31:43 2026 reduce to 454774596 relations and 346936517 ideals in 7 passes
  55. Tue Jan 20 00:31:43 2026 max relations containing the same ideal: 200
  56. Tue Jan 20 00:32:54 2026 removing 10148619 relations and 8148619 ideals in 2000000 cliques
  57. Tue Jan 20 00:32:59 2026 commencing in-memory singleton removal
  58. Tue Jan 20 00:33:07 2026 begin with 444625977 relations and 346936517 unique ideals
  59. Tue Jan 20 00:33:33 2026 reduce to 444453491 relations and 338614568 ideals in 7 passes
  60. Tue Jan 20 00:33:33 2026 max relations containing the same ideal: 200
  61. Tue Jan 20 00:34:42 2026 removing 9125493 relations and 7125493 ideals in 2000000 cliques
  62. Tue Jan 20 00:34:47 2026 commencing in-memory singleton removal
  63. Tue Jan 20 00:34:54 2026 begin with 435327998 relations and 338614568 unique ideals
  64. Tue Jan 20 00:35:19 2026 reduce to 435180885 relations and 331341251 ideals in 7 passes
  65. Tue Jan 20 00:35:19 2026 max relations containing the same ideal: 199
  66. Tue Jan 20 00:36:26 2026 removing 8524649 relations and 6524649 ideals in 2000000 cliques
  67. Tue Jan 20 00:36:32 2026 commencing in-memory singleton removal
  68. Tue Jan 20 00:36:39 2026 begin with 426656236 relations and 331341251 unique ideals
  69. Tue Jan 20 00:37:00 2026 reduce to 426522909 relations and 324682616 ideals in 6 passes
  70. Tue Jan 20 00:37:00 2026 max relations containing the same ideal: 196
  71. Tue Jan 20 00:38:06 2026 removing 8119331 relations and 6119331 ideals in 2000000 cliques
  72. Tue Jan 20 00:38:11 2026 commencing in-memory singleton removal
  73. Tue Jan 20 00:38:18 2026 begin with 418403578 relations and 324682616 unique ideals
  74. Tue Jan 20 00:38:39 2026 reduce to 418279088 relations and 318438213 ideals in 6 passes
  75. Tue Jan 20 00:38:39 2026 max relations containing the same ideal: 195
  76. Tue Jan 20 00:39:44 2026 removing 7819313 relations and 5819313 ideals in 2000000 cliques
  77. Tue Jan 20 00:39:49 2026 commencing in-memory singleton removal
  78. Tue Jan 20 00:39:55 2026 begin with 410459775 relations and 318438213 unique ideals
  79. Tue Jan 20 00:40:16 2026 reduce to 410340478 relations and 312499035 ideals in 6 passes
  80. Tue Jan 20 00:40:16 2026 max relations containing the same ideal: 193
  81. Tue Jan 20 00:41:20 2026 removing 7590147 relations and 5590147 ideals in 2000000 cliques
  82. Tue Jan 20 00:41:25 2026 commencing in-memory singleton removal
  83. Tue Jan 20 00:41:31 2026 begin with 402750331 relations and 312499035 unique ideals
  84. Tue Jan 20 00:41:52 2026 reduce to 402633924 relations and 306791883 ideals in 6 passes
  85. Tue Jan 20 00:41:52 2026 max relations containing the same ideal: 191
  86. Tue Jan 20 00:42:54 2026 removing 7407789 relations and 5407789 ideals in 2000000 cliques
  87. Tue Jan 20 00:42:59 2026 commencing in-memory singleton removal
  88. Tue Jan 20 00:43:05 2026 begin with 395226135 relations and 306791883 unique ideals
  89. Tue Jan 20 00:43:25 2026 reduce to 395114120 relations and 301271491 ideals in 6 passes
  90. Tue Jan 20 00:43:25 2026 max relations containing the same ideal: 189
  91. Tue Jan 20 00:44:26 2026 removing 7256802 relations and 5256802 ideals in 2000000 cliques
  92. Tue Jan 20 00:44:31 2026 commencing in-memory singleton removal
  93. Tue Jan 20 00:44:37 2026 begin with 387857318 relations and 301271491 unique ideals
  94. Tue Jan 20 00:44:57 2026 reduce to 387747440 relations and 295904273 ideals in 6 passes
  95. Tue Jan 20 00:44:57 2026 max relations containing the same ideal: 188
  96. Tue Jan 20 00:45:57 2026 removing 7133052 relations and 5133052 ideals in 2000000 cliques
  97. Tue Jan 20 00:46:02 2026 commencing in-memory singleton removal
  98. Tue Jan 20 00:46:08 2026 begin with 380614388 relations and 295904273 unique ideals
  99. Tue Jan 20 00:46:27 2026 reduce to 380506372 relations and 290662644 ideals in 6 passes
  100. Tue Jan 20 00:46:27 2026 max relations containing the same ideal: 186
  101. Tue Jan 20 00:47:27 2026 removing 7028204 relations and 5028204 ideals in 2000000 cliques
  102. Tue Jan 20 00:47:32 2026 commencing in-memory singleton removal
  103. Tue Jan 20 00:47:37 2026 begin with 373478168 relations and 290662644 unique ideals
  104. Tue Jan 20 00:47:59 2026 reduce to 373370982 relations and 285526658 ideals in 7 passes
  105. Tue Jan 20 00:47:59 2026 max relations containing the same ideal: 185
  106. Tue Jan 20 00:48:58 2026 removing 6939779 relations and 4939779 ideals in 2000000 cliques
  107. Tue Jan 20 00:49:02 2026 commencing in-memory singleton removal
  108. Tue Jan 20 00:49:08 2026 begin with 366431203 relations and 285526658 unique ideals
  109. Tue Jan 20 00:49:26 2026 reduce to 366324530 relations and 280479587 ideals in 6 passes
  110. Tue Jan 20 00:49:26 2026 max relations containing the same ideal: 182
  111. Tue Jan 20 00:50:24 2026 removing 6858963 relations and 4858963 ideals in 2000000 cliques
  112. Tue Jan 20 00:50:29 2026 commencing in-memory singleton removal
  113. Tue Jan 20 00:50:35 2026 begin with 359465567 relations and 280479587 unique ideals
  114. Tue Jan 20 00:50:53 2026 reduce to 359359733 relations and 275514181 ideals in 6 passes
  115. Tue Jan 20 00:50:53 2026 max relations containing the same ideal: 180
  116. Tue Jan 20 00:51:50 2026 removing 6792860 relations and 4792860 ideals in 2000000 cliques
  117. Tue Jan 20 00:51:54 2026 commencing in-memory singleton removal
  118. Tue Jan 20 00:52:00 2026 begin with 352566873 relations and 275514181 unique ideals
  119. Tue Jan 20 00:52:17 2026 reduce to 352460555 relations and 270614331 ideals in 6 passes
  120. Tue Jan 20 00:52:17 2026 max relations containing the same ideal: 179
  121. Tue Jan 20 00:53:13 2026 removing 6737186 relations and 4737186 ideals in 2000000 cliques
  122. Tue Jan 20 00:53:17 2026 commencing in-memory singleton removal
  123. Tue Jan 20 00:53:23 2026 begin with 345723369 relations and 270614331 unique ideals
  124. Tue Jan 20 00:53:40 2026 reduce to 345617533 relations and 265770593 ideals in 6 passes
  125. Tue Jan 20 00:53:40 2026 max relations containing the same ideal: 177
  126. Tue Jan 20 00:54:35 2026 removing 6679312 relations and 4679312 ideals in 2000000 cliques
  127. Tue Jan 20 00:54:39 2026 commencing in-memory singleton removal
  128. Tue Jan 20 00:54:44 2026 begin with 338938221 relations and 265770593 unique ideals
  129. Tue Jan 20 00:54:58 2026 reduce to 338832134 relations and 260984540 ideals in 5 passes
  130. Tue Jan 20 00:54:58 2026 max relations containing the same ideal: 173
  131. Tue Jan 20 00:55:53 2026 removing 6640225 relations and 4640225 ideals in 2000000 cliques
  132. Tue Jan 20 00:55:57 2026 commencing in-memory singleton removal
  133. Tue Jan 20 00:56:02 2026 begin with 332191909 relations and 260984540 unique ideals
  134. Tue Jan 20 00:56:19 2026 reduce to 332084718 relations and 256236448 ideals in 6 passes
  135. Tue Jan 20 00:56:19 2026 max relations containing the same ideal: 172
  136. Tue Jan 20 00:57:12 2026 removing 6599112 relations and 4599112 ideals in 2000000 cliques
  137. Tue Jan 20 00:57:16 2026 commencing in-memory singleton removal
  138. Tue Jan 20 00:57:21 2026 begin with 325485606 relations and 256236448 unique ideals
  139. Tue Jan 20 00:57:37 2026 reduce to 325378889 relations and 251529854 ideals in 6 passes
  140. Tue Jan 20 00:57:37 2026 max relations containing the same ideal: 171
  141. Tue Jan 20 00:58:29 2026 removing 6566824 relations and 4566824 ideals in 2000000 cliques
  142. Tue Jan 20 00:58:34 2026 commencing in-memory singleton removal
  143. Tue Jan 20 00:58:39 2026 begin with 318812065 relations and 251529854 unique ideals
  144. Tue Jan 20 00:58:54 2026 reduce to 318704720 relations and 246854876 ideals in 6 passes
  145. Tue Jan 20 00:58:54 2026 max relations containing the same ideal: 169
  146. Tue Jan 20 00:59:45 2026 removing 6531524 relations and 4531524 ideals in 2000000 cliques
  147. Tue Jan 20 00:59:49 2026 commencing in-memory singleton removal
  148. Tue Jan 20 00:59:54 2026 begin with 312173196 relations and 246854876 unique ideals
  149. Tue Jan 20 01:00:10 2026 reduce to 312063309 relations and 242212619 ideals in 6 passes
  150. Tue Jan 20 01:00:10 2026 max relations containing the same ideal: 166
  151. Tue Jan 20 01:01:00 2026 removing 6509668 relations and 4509668 ideals in 2000000 cliques
  152. Tue Jan 20 01:01:04 2026 commencing in-memory singleton removal
  153. Tue Jan 20 01:01:09 2026 begin with 305553641 relations and 242212619 unique ideals
  154. Tue Jan 20 01:01:24 2026 reduce to 305442591 relations and 237591055 ideals in 6 passes
  155. Tue Jan 20 01:01:24 2026 max relations containing the same ideal: 163
  156. Tue Jan 20 01:02:14 2026 removing 6482933 relations and 4482933 ideals in 2000000 cliques
  157. Tue Jan 20 01:02:18 2026 commencing in-memory singleton removal
  158. Tue Jan 20 01:02:23 2026 begin with 298959658 relations and 237591055 unique ideals
  159. Tue Jan 20 01:02:37 2026 reduce to 298846986 relations and 232994558 ideals in 6 passes
  160. Tue Jan 20 01:02:37 2026 max relations containing the same ideal: 161
  161. Tue Jan 20 01:03:26 2026 removing 6464442 relations and 4464442 ideals in 2000000 cliques
  162. Tue Jan 20 01:03:30 2026 commencing in-memory singleton removal
  163. Tue Jan 20 01:03:34 2026 begin with 292382544 relations and 232994558 unique ideals
  164. Tue Jan 20 01:03:49 2026 reduce to 292269049 relations and 228415655 ideals in 6 passes
  165. Tue Jan 20 01:03:49 2026 max relations containing the same ideal: 158
  166. Tue Jan 20 01:04:37 2026 removing 6447986 relations and 4447986 ideals in 2000000 cliques
  167. Tue Jan 20 01:04:41 2026 commencing in-memory singleton removal
  168. Tue Jan 20 01:04:45 2026 begin with 285821063 relations and 228415655 unique ideals
  169. Tue Jan 20 01:04:59 2026 reduce to 285705309 relations and 223850986 ideals in 6 passes
  170. Tue Jan 20 01:04:59 2026 max relations containing the same ideal: 157
  171. Tue Jan 20 01:05:46 2026 removing 6430644 relations and 4430644 ideals in 2000000 cliques
  172. Tue Jan 20 01:05:49 2026 commencing in-memory singleton removal
  173. Tue Jan 20 01:05:54 2026 begin with 279274665 relations and 223850986 unique ideals
  174. Tue Jan 20 01:06:07 2026 reduce to 279157255 relations and 219301917 ideals in 6 passes
  175. Tue Jan 20 01:06:07 2026 max relations containing the same ideal: 153
  176. Tue Jan 20 01:06:53 2026 removing 6422256 relations and 4422256 ideals in 2000000 cliques
  177. Tue Jan 20 01:06:56 2026 commencing in-memory singleton removal
  178. Tue Jan 20 01:07:01 2026 begin with 272734999 relations and 219301917 unique ideals
  179. Tue Jan 20 01:07:14 2026 reduce to 272614266 relations and 214757811 ideals in 6 passes
  180. Tue Jan 20 01:07:14 2026 max relations containing the same ideal: 149
  181. Tue Jan 20 01:07:59 2026 removing 6415886 relations and 4415886 ideals in 2000000 cliques
  182. Tue Jan 20 01:08:02 2026 commencing in-memory singleton removal
  183. Tue Jan 20 01:08:06 2026 begin with 266198380 relations and 214757811 unique ideals
  184. Tue Jan 20 01:08:19 2026 reduce to 266076808 relations and 210219284 ideals in 6 passes
  185. Tue Jan 20 01:08:19 2026 max relations containing the same ideal: 149
  186. Tue Jan 20 01:09:02 2026 removing 6410646 relations and 4410646 ideals in 2000000 cliques
  187. Tue Jan 20 01:09:06 2026 commencing in-memory singleton removal
  188. Tue Jan 20 01:09:10 2026 begin with 259666162 relations and 210219284 unique ideals
  189. Tue Jan 20 01:09:25 2026 reduce to 259541068 relations and 205682401 ideals in 7 passes
  190. Tue Jan 20 01:09:25 2026 max relations containing the same ideal: 147
  191. Tue Jan 20 01:10:08 2026 removing 6406291 relations and 4406291 ideals in 2000000 cliques
  192. Tue Jan 20 01:10:11 2026 commencing in-memory singleton removal
  193. Tue Jan 20 01:10:15 2026 begin with 253134777 relations and 205682401 unique ideals
  194. Tue Jan 20 01:10:27 2026 reduce to 253007202 relations and 201147294 ideals in 6 passes
  195. Tue Jan 20 01:10:27 2026 max relations containing the same ideal: 144
  196. Tue Jan 20 01:11:09 2026 removing 6402919 relations and 4402919 ideals in 2000000 cliques
  197. Tue Jan 20 01:11:12 2026 commencing in-memory singleton removal
  198. Tue Jan 20 01:11:16 2026 begin with 246604283 relations and 201147294 unique ideals
  199. Tue Jan 20 01:11:28 2026 reduce to 246475166 relations and 196613917 ideals in 6 passes
  200. Tue Jan 20 01:11:28 2026 max relations containing the same ideal: 140
  201. Tue Jan 20 01:12:09 2026 removing 6405226 relations and 4405226 ideals in 2000000 cliques
  202. Tue Jan 20 01:12:12 2026 commencing in-memory singleton removal
  203. Tue Jan 20 01:12:16 2026 begin with 240069940 relations and 196613917 unique ideals
  204. Tue Jan 20 01:12:28 2026 reduce to 239937041 relations and 192074457 ideals in 6 passes
  205. Tue Jan 20 01:12:28 2026 max relations containing the same ideal: 138
  206. Tue Jan 20 01:13:07 2026 removing 6407201 relations and 4407201 ideals in 2000000 cliques
  207. Tue Jan 20 01:13:11 2026 commencing in-memory singleton removal
  208. Tue Jan 20 01:13:14 2026 begin with 233529840 relations and 192074457 unique ideals
  209. Tue Jan 20 01:13:26 2026 reduce to 233393558 relations and 187529596 ideals in 6 passes
  210. Tue Jan 20 01:13:26 2026 max relations containing the same ideal: 134
  211. Tue Jan 20 01:14:04 2026 removing 6412663 relations and 4412663 ideals in 2000000 cliques
  212. Tue Jan 20 01:14:07 2026 commencing in-memory singleton removal
  213. Tue Jan 20 01:14:11 2026 begin with 226980895 relations and 187529596 unique ideals
  214. Tue Jan 20 01:14:22 2026 reduce to 226841727 relations and 182976309 ideals in 6 passes
  215. Tue Jan 20 01:14:22 2026 max relations containing the same ideal: 133
  216. Tue Jan 20 01:15:00 2026 removing 6423004 relations and 4423004 ideals in 2000000 cliques
  217. Tue Jan 20 01:15:03 2026 commencing in-memory singleton removal
  218. Tue Jan 20 01:15:07 2026 begin with 220418723 relations and 182976309 unique ideals
  219. Tue Jan 20 01:15:17 2026 reduce to 220275689 relations and 178408815 ideals in 6 passes
  220. Tue Jan 20 01:15:17 2026 max relations containing the same ideal: 129
  221. Tue Jan 20 01:15:54 2026 removing 6430145 relations and 4430145 ideals in 2000000 cliques
  222. Tue Jan 20 01:15:57 2026 commencing in-memory singleton removal
  223. Tue Jan 20 01:16:00 2026 begin with 213845544 relations and 178408815 unique ideals
  224. Tue Jan 20 01:16:11 2026 reduce to 213698627 relations and 173830169 ideals in 6 passes
  225. Tue Jan 20 01:16:11 2026 max relations containing the same ideal: 127
  226. Tue Jan 20 01:16:47 2026 removing 6444711 relations and 4444711 ideals in 2000000 cliques
  227. Tue Jan 20 01:16:50 2026 commencing in-memory singleton removal
  228. Tue Jan 20 01:16:53 2026 begin with 207253916 relations and 173830169 unique ideals
  229. Tue Jan 20 01:17:06 2026 reduce to 207102515 relations and 169232458 ideals in 8 passes
  230. Tue Jan 20 01:17:06 2026 max relations containing the same ideal: 126
  231. Tue Jan 20 01:17:42 2026 removing 6455758 relations and 4455758 ideals in 2000000 cliques
  232. Tue Jan 20 01:17:44 2026 commencing in-memory singleton removal
  233. Tue Jan 20 01:17:47 2026 begin with 200646757 relations and 169232458 unique ideals
  234. Tue Jan 20 01:17:56 2026 reduce to 200490423 relations and 164618610 ideals in 5 passes
  235. Tue Jan 20 01:17:56 2026 max relations containing the same ideal: 123
  236. Tue Jan 20 01:18:30 2026 removing 6476718 relations and 4476718 ideals in 2000000 cliques
  237. Tue Jan 20 01:18:33 2026 commencing in-memory singleton removal
  238. Tue Jan 20 01:18:36 2026 begin with 194013705 relations and 164618610 unique ideals
  239. Tue Jan 20 01:18:45 2026 reduce to 193853036 relations and 159979401 ideals in 6 passes
  240. Tue Jan 20 01:18:45 2026 max relations containing the same ideal: 121
  241. Tue Jan 20 01:19:19 2026 removing 6493962 relations and 4493962 ideals in 2000000 cliques
  242. Tue Jan 20 01:19:21 2026 commencing in-memory singleton removal
  243. Tue Jan 20 01:19:24 2026 begin with 187359074 relations and 159979401 unique ideals
  244. Tue Jan 20 01:19:33 2026 reduce to 187191946 relations and 155316403 ideals in 6 passes
  245. Tue Jan 20 01:19:33 2026 max relations containing the same ideal: 119
  246. Tue Jan 20 01:20:05 2026 removing 6512156 relations and 4512156 ideals in 2000000 cliques
  247. Tue Jan 20 01:20:08 2026 commencing in-memory singleton removal
  248. Tue Jan 20 01:20:11 2026 begin with 180679790 relations and 155316403 unique ideals
  249. Tue Jan 20 01:20:18 2026 reduce to 180507452 relations and 150629852 ideals in 5 passes
  250. Tue Jan 20 01:20:18 2026 max relations containing the same ideal: 115
  251. Tue Jan 20 01:20:49 2026 removing 6540118 relations and 4540118 ideals in 2000000 cliques
  252. Tue Jan 20 01:20:52 2026 commencing in-memory singleton removal
  253. Tue Jan 20 01:20:55 2026 begin with 173967334 relations and 150629852 unique ideals
  254. Tue Jan 20 01:21:04 2026 reduce to 173789171 relations and 145909365 ideals in 7 passes
  255. Tue Jan 20 01:21:04 2026 max relations containing the same ideal: 114
  256. Tue Jan 20 01:21:35 2026 removing 6567554 relations and 4567554 ideals in 2000000 cliques
  257. Tue Jan 20 01:21:37 2026 commencing in-memory singleton removal
  258. Tue Jan 20 01:21:40 2026 begin with 167221617 relations and 145909365 unique ideals
  259. Tue Jan 20 01:21:49 2026 reduce to 167036649 relations and 141154537 ideals in 7 passes
  260. Tue Jan 20 01:21:49 2026 max relations containing the same ideal: 112
  261. Tue Jan 20 01:22:18 2026 removing 6601572 relations and 4601572 ideals in 2000000 cliques
  262. Tue Jan 20 01:22:21 2026 commencing in-memory singleton removal
  263. Tue Jan 20 01:22:23 2026 begin with 160435077 relations and 141154537 unique ideals
  264. Tue Jan 20 01:22:31 2026 reduce to 160242655 relations and 136358017 ideals in 6 passes
  265. Tue Jan 20 01:22:31 2026 max relations containing the same ideal: 108
  266. Tue Jan 20 01:22:59 2026 removing 6632710 relations and 4632710 ideals in 2000000 cliques
  267. Tue Jan 20 01:23:02 2026 commencing in-memory singleton removal
  268. Tue Jan 20 01:23:04 2026 begin with 153609945 relations and 136358017 unique ideals
  269. Tue Jan 20 01:23:13 2026 reduce to 153408047 relations and 131520793 ideals in 7 passes
  270. Tue Jan 20 01:23:13 2026 max relations containing the same ideal: 105
  271. Tue Jan 20 01:23:40 2026 removing 6671783 relations and 4671783 ideals in 2000000 cliques
  272. Tue Jan 20 01:23:43 2026 commencing in-memory singleton removal
  273. Tue Jan 20 01:23:45 2026 begin with 146736264 relations and 131520793 unique ideals
  274. Tue Jan 20 01:23:52 2026 reduce to 146523986 relations and 126633871 ideals in 6 passes
  275. Tue Jan 20 01:23:52 2026 max relations containing the same ideal: 102
  276. Tue Jan 20 01:24:18 2026 removing 6710430 relations and 4710430 ideals in 2000000 cliques
  277. Tue Jan 20 01:24:21 2026 commencing in-memory singleton removal
  278. Tue Jan 20 01:24:23 2026 begin with 139813556 relations and 126633871 unique ideals
  279. Tue Jan 20 01:24:31 2026 reduce to 139592160 relations and 121698991 ideals in 7 passes
  280. Tue Jan 20 01:24:31 2026 max relations containing the same ideal: 97
  281. Tue Jan 20 01:24:56 2026 removing 6754552 relations and 4754552 ideals in 2000000 cliques
  282. Tue Jan 20 01:24:58 2026 commencing in-memory singleton removal
  283. Tue Jan 20 01:25:00 2026 begin with 132837608 relations and 121698991 unique ideals
  284. Tue Jan 20 01:25:06 2026 reduce to 132604841 relations and 116708400 ideals in 6 passes
  285. Tue Jan 20 01:25:06 2026 max relations containing the same ideal: 95
  286. Tue Jan 20 01:25:31 2026 removing 6803071 relations and 4803071 ideals in 2000000 cliques
  287. Tue Jan 20 01:25:33 2026 commencing in-memory singleton removal
  288. Tue Jan 20 01:25:35 2026 begin with 125801770 relations and 116708400 unique ideals
  289. Tue Jan 20 01:25:42 2026 reduce to 125555464 relations and 111655606 ideals in 8 passes
  290. Tue Jan 20 01:25:42 2026 max relations containing the same ideal: 91
  291. Tue Jan 20 01:26:06 2026 removing 6854120 relations and 4854120 ideals in 2000000 cliques
  292. Tue Jan 20 01:26:08 2026 commencing in-memory singleton removal
  293. Tue Jan 20 01:26:09 2026 begin with 118701344 relations and 111655606 unique ideals
  294. Tue Jan 20 01:26:16 2026 reduce to 118439577 relations and 106535785 ideals in 7 passes
  295. Tue Jan 20 01:26:16 2026 max relations containing the same ideal: 88
  296. Tue Jan 20 01:26:38 2026 removing 6912314 relations and 4912314 ideals in 2000000 cliques
  297. Tue Jan 20 01:26:40 2026 commencing in-memory singleton removal
  298. Tue Jan 20 01:26:42 2026 begin with 111527263 relations and 106535785 unique ideals
  299. Tue Jan 20 01:26:47 2026 reduce to 111246566 relations and 101338464 ideals in 6 passes
  300. Tue Jan 20 01:26:47 2026 max relations containing the same ideal: 86
  301. Tue Jan 20 01:27:08 2026 removing 6975594 relations and 4975594 ideals in 2000000 cliques
  302. Tue Jan 20 01:27:10 2026 commencing in-memory singleton removal
  303. Tue Jan 20 01:27:11 2026 begin with 104270972 relations and 101338464 unique ideals
  304. Tue Jan 20 01:27:16 2026 reduce to 103967768 relations and 96054644 ideals in 6 passes
  305. Tue Jan 20 01:27:16 2026 max relations containing the same ideal: 83
  306. Tue Jan 20 01:27:35 2026 removing 7048363 relations and 5048363 ideals in 2000000 cliques
  307. Tue Jan 20 01:27:37 2026 commencing in-memory singleton removal
  308. Tue Jan 20 01:27:39 2026 begin with 96919405 relations and 96054644 unique ideals
  309. Tue Jan 20 01:27:44 2026 reduce to 96588777 relations and 90670173 ideals in 7 passes
  310. Tue Jan 20 01:27:44 2026 max relations containing the same ideal: 78
  311. Tue Jan 20 01:28:02 2026 removing 7132453 relations and 5132453 ideals in 2000000 cliques
  312. Tue Jan 20 01:28:04 2026 commencing in-memory singleton removal
  313. Tue Jan 20 01:28:05 2026 begin with 89456324 relations and 90670173 unique ideals
  314. Tue Jan 20 01:28:11 2026 reduce to 89091097 relations and 85166016 ideals in 8 passes
  315. Tue Jan 20 01:28:11 2026 max relations containing the same ideal: 74
  316. Tue Jan 20 01:28:28 2026 removing 4446199 relations and 3339964 ideals in 1106235 cliques
  317. Tue Jan 20 01:28:30 2026 commencing in-memory singleton removal
  318. Tue Jan 20 01:28:31 2026 begin with 84644898 relations and 85166016 unique ideals
  319. Tue Jan 20 01:28:36 2026 reduce to 84496415 relations and 81676009 ideals in 8 passes
  320. Tue Jan 20 01:28:36 2026 max relations containing the same ideal: 74
  321. Tue Jan 20 01:28:58 2026 relations with 0 large ideals: 92837
  322. Tue Jan 20 01:28:58 2026 relations with 1 large ideals: 61149
  323. Tue Jan 20 01:28:58 2026 relations with 2 large ideals: 753031
  324. Tue Jan 20 01:28:58 2026 relations with 3 large ideals: 4099626
  325. Tue Jan 20 01:28:58 2026 relations with 4 large ideals: 11885622
  326. Tue Jan 20 01:28:58 2026 relations with 5 large ideals: 20506006
  327. Tue Jan 20 01:28:58 2026 relations with 6 large ideals: 22123484
  328. Tue Jan 20 01:28:58 2026 relations with 7+ large ideals: 24974660
  329. Tue Jan 20 01:28:58 2026 commencing 2-way merge
  330. Tue Jan 20 01:29:23 2026 reduce to 54521408 relation sets and 51701002 unique ideals
  331. Tue Jan 20 01:29:23 2026 commencing full merge
  332. Tue Jan 20 01:40:08 2026 memory use: 6665.1 MB
  333. Tue Jan 20 01:40:12 2026 found 25822806 cycles, need 25473202
  334. Tue Jan 20 01:40:18 2026 weight of 25473202 cycles is about 2802678101 (110.02/cycle)
  335. Tue Jan 20 01:40:18 2026 distribution of cycle lengths:
  336. Tue Jan 20 01:40:18 2026 1 relations: 1344259
  337. Tue Jan 20 01:40:18 2026 2 relations: 1711116
  338. Tue Jan 20 01:40:18 2026 3 relations: 1965957
  339. Tue Jan 20 01:40:18 2026 4 relations: 2038200
  340. Tue Jan 20 01:40:18 2026 5 relations: 2093864
  341. Tue Jan 20 01:40:18 2026 6 relations: 2092187
  342. Tue Jan 20 01:40:18 2026 7 relations: 2034637
  343. Tue Jan 20 01:40:18 2026 8 relations: 1932128
  344. Tue Jan 20 01:40:18 2026 9 relations: 1786273
  345. Tue Jan 20 01:40:18 2026 10+ relations: 8474581
  346. Tue Jan 20 01:40:18 2026 heaviest cycle: 26 relations
  347. Tue Jan 20 01:40:24 2026 commencing cycle optimization
  348. Tue Jan 20 01:40:55 2026 start with 199657475 relations
  349. Tue Jan 20 01:44:35 2026 pruned 8049999 relations
  350. Tue Jan 20 01:44:35 2026 memory use: 5555.5 MB
  351. Tue Jan 20 01:44:35 2026 distribution of cycle lengths:
  352. Tue Jan 20 01:44:35 2026 1 relations: 1344259
  353. Tue Jan 20 01:44:35 2026 2 relations: 1751754
  354. Tue Jan 20 01:44:35 2026 3 relations: 2045071
  355. Tue Jan 20 01:44:35 2026 4 relations: 2118853
  356. Tue Jan 20 01:44:35 2026 5 relations: 2195074
  357. Tue Jan 20 01:44:35 2026 6 relations: 2188491
  358. Tue Jan 20 01:44:35 2026 7 relations: 2136075
  359. Tue Jan 20 01:44:35 2026 8 relations: 2016633
  360. Tue Jan 20 01:44:35 2026 9 relations: 1857765
  361. Tue Jan 20 01:44:35 2026 10+ relations: 7819227
  362. Tue Jan 20 01:44:35 2026 heaviest cycle: 25 relations
  363. Tue Jan 20 01:44:58 2026 RelProcTime: 6333
  364. Tue Jan 20 01:44:58 2026 elapsed time 01:45:33
  365. Tue Jan 20 11:11:58 2026
  366. Tue Jan 20 11:11:58 2026
  367. Tue Jan 20 11:11:58 2026 Msieve v. 1.54 (SVN 573b9ef)
  368. Tue Jan 20 11:11:58 2026 random seeds: 36bf9654 4e9a487a
  369. Tue Jan 20 11:11:58 2026 MPI process 0 of 2
  370. Tue Jan 20 11:11:58 2026 Using 8 OpenMP threads
  371. Tue Jan 20 11:11:58 2026 factoring 3147683480675025237998610393029079856474880914803199425301823637674773840304903735065677868758631715394529889896290505006405156033627125551498159215651368422527592728296966001014612995610874859703610219159051008475098991265773916140181977 (238 digits)
  372. Tue Jan 20 11:11:59 2026 no P-1/P+1/ECM available, skipping
  373. Tue Jan 20 11:11:59 2026 commencing number field sieve (238-digit input)
  374. Tue Jan 20 11:11:59 2026 R0: 20232717473185771980494506187498569488525390625
  375. Tue Jan 20 11:11:59 2026 R1: -1648446623609512543951043690496
  376. Tue Jan 20 11:11:59 2026 A0: 144
  377. Tue Jan 20 11:11:59 2026 A1: 0
  378. Tue Jan 20 11:11:59 2026 A2: 0
  379. Tue Jan 20 11:11:59 2026 A3: 0
  380. Tue Jan 20 11:11:59 2026 A4: 0
  381. Tue Jan 20 11:11:59 2026 A5: 0
  382. Tue Jan 20 11:11:59 2026 A6: 1
  383. Tue Jan 20 11:11:59 2026 skew 2.29, size 1.260e-13, alpha 0.090, combined = 2.399e-14 rroots = 0
  384. Tue Jan 20 11:11:59 2026
  385. Tue Jan 20 11:11:59 2026 commencing linear algebra
  386. Tue Jan 20 11:11:59 2026 using VBITS=256
  387. Tue Jan 20 11:11:59 2026 initialized process (0,0) of 1 x 2 grid
  388. Tue Jan 20 11:12:03 2026 read 25473202 cycles
  389. Tue Jan 20 11:13:45 2026 cycles contain 83153799 unique relations
  390. Tue Jan 20 11:16:17 2026 read 83153799 relations
  391. Tue Jan 20 11:16:46 2026 using 20 quadratic characters above 4294917295
  392. Tue Jan 20 11:17:12 2026 building initial matrix
  393. Tue Jan 20 11:27:20 2026 memory use: 10679.0 MB
  394. Tue Jan 20 11:27:31 2026 read 25473202 cycles
  395. Tue Jan 20 11:27:33 2026 matrix is 25473025 x 25473202 (11218.9 MB) with weight 3208707637 (125.96/col)
  396. Tue Jan 20 11:27:33 2026 sparse part has weight 2660751062 (104.45/col)
  397. Tue Jan 20 11:29:53 2026 filtering completed in 2 passes
  398. Tue Jan 20 11:29:57 2026 matrix is 25471700 x 25471875 (11218.7 MB) with weight 3208665031 (125.97/col)
  399. Tue Jan 20 11:29:57 2026 sparse part has weight 2660736376 (104.46/col)
  400. Tue Jan 20 11:30:33 2026 matrix starts at (0, 0)
  401. Tue Jan 20 11:30:34 2026 matrix is 25471700 x 12735930 (5609.4 MB) with weight 1604337147 (125.97/col)
  402. Tue Jan 20 11:30:34 2026 sparse part has weight 1330368345 (104.46/col)
  403. Tue Jan 20 11:30:34 2026 saving the first 240 matrix rows for later
  404. Tue Jan 20 11:30:35 2026 matrix includes 256 packed rows
  405. Tue Jan 20 11:30:40 2026 matrix is 25471460 x 12735930 (5223.7 MB) with weight 1221749177 (95.93/col)
  406. Tue Jan 20 11:30:40 2026 sparse part has weight 1165583169 (91.52/col)
  407. Tue Jan 20 11:30:40 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  408. Tue Jan 20 11:30:40 2026 selected card has CUDA arch 8.6
  409. Tue Jan 20 11:31:29 2026 commencing Lanczos iteration
  410. Tue Jan 20 11:31:30 2026 memory use: 13313.8 MB
  411. Tue Jan 20 11:32:23 2026 linear algebra at 0.1%, ETA 11h45m
  412. Tue Jan 20 11:33:41 2026 checking every 30000 dimensions, checkpointing every 2160000 dimensions
  413. Tue Jan 20 23:35:20 2026 lanczos halted after 99798 iterations (dim = 25471459)
  414. Tue Jan 20 23:42:25 2026 recovered 41 nontrivial dependencies
  415. Tue Jan 20 23:42:26 2026 BLanczosTime: 45027
  416. Tue Jan 20 23:42:26 2026 elapsed time 12:30:28
  417. Wed Jan 21 00:26:12 2026
  418. Wed Jan 21 00:26:12 2026
  419. Wed Jan 21 00:26:12 2026 Msieve v. 1.54 (SVN 573b9ef)
  420. Wed Jan 21 00:26:12 2026 random seeds: 3d5eddf3 779cb33c
  421. Wed Jan 21 00:26:12 2026 Using 32 OpenMP threads
  422. Wed Jan 21 00:26:12 2026 factoring 3147683480675025237998610393029079856474880914803199425301823637674773840304903735065677868758631715394529889896290505006405156033627125551498159215651368422527592728296966001014612995610874859703610219159051008475098991265773916140181977 (238 digits)
  423. Wed Jan 21 00:26:13 2026 no P-1/P+1/ECM available, skipping
  424. Wed Jan 21 00:26:13 2026 commencing number field sieve (238-digit input)
  425. Wed Jan 21 00:26:13 2026 R0: 20232717473185771980494506187498569488525390625
  426. Wed Jan 21 00:26:13 2026 R1: -1648446623609512543951043690496
  427. Wed Jan 21 00:26:13 2026 A0: 144
  428. Wed Jan 21 00:26:13 2026 A1: 0
  429. Wed Jan 21 00:26:13 2026 A2: 0
  430. Wed Jan 21 00:26:13 2026 A3: 0
  431. Wed Jan 21 00:26:13 2026 A4: 0
  432. Wed Jan 21 00:26:13 2026 A5: 0
  433. Wed Jan 21 00:26:13 2026 A6: 1
  434. Wed Jan 21 00:26:13 2026 skew 2.29, size 1.260e-13, alpha 0.090, combined = 2.399e-14 rroots = 0
  435. Wed Jan 21 00:26:13 2026
  436. Wed Jan 21 00:26:13 2026 commencing square root phase
  437. Wed Jan 21 00:26:13 2026 reading relations for dependency 1
  438. Wed Jan 21 00:26:17 2026 read 12734003 cycles
  439. Wed Jan 21 00:26:57 2026 cycles contain 41571306 unique relations
  440. Wed Jan 21 00:28:32 2026 read 41571306 relations
  441. Wed Jan 21 00:30:20 2026 multiplying 41571306 relations
  442. Wed Jan 21 00:32:15 2026 multiply complete, coefficients have about 1130.64 million bits
  443. Wed Jan 21 00:32:16 2026 initial square root is modulo 118147
  444. Wed Jan 21 00:36:33 2026 GCD is N, no factor found
  445. Wed Jan 21 00:36:33 2026 reading relations for dependency 2
  446. Wed Jan 21 00:36:34 2026 read 12739813 cycles
  447. Wed Jan 21 00:36:49 2026 cycles contain 41586908 unique relations
  448. Wed Jan 21 00:37:18 2026 read 41586908 relations
  449. Wed Jan 21 00:38:55 2026 multiplying 41586908 relations
  450. Wed Jan 21 00:40:49 2026 multiply complete, coefficients have about 1131.07 million bits
  451. Wed Jan 21 00:40:50 2026 initial square root is modulo 118543
  452. Wed Jan 21 00:45:09 2026 found factor: 455015545487400576132899271107461585955293735683328422446316319641423658475392581139297
  453. Wed Jan 21 00:45:09 2026 reading relations for dependency 3
  454. Wed Jan 21 00:45:10 2026 read 12735291 cycles
  455. Wed Jan 21 00:45:26 2026 cycles contain 41572316 unique relations
  456. Wed Jan 21 00:45:55 2026 read 41572316 relations
  457. Wed Jan 21 00:47:35 2026 multiplying 41572316 relations
  458. Wed Jan 21 00:49:29 2026 multiply complete, coefficients have about 1130.67 million bits
  459. Wed Jan 21 00:49:30 2026 initial square root is modulo 118147
  460. Wed Jan 21 00:53:47 2026 sqrtTime: 1654
  461. Wed Jan 21 00:53:47 2026 p65 factor: 10507342089124602243101098871676001633784419425520738614402676853
  462. Wed Jan 21 00:53:47 2026 p87 factor: 455015545487400576132899271107461585955293735683328422446316319641423658475392581139297
  463. Wed Jan 21 00:53:47 2026 p87 factor: 658372903628758370639084956032825499312673205710386538316715627703908743630897762298997
  464. Wed Jan 21 00:53:47 2026 elapsed time 00:27:35
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