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  1. Tue Jan 13 14:58:14 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Tue Jan 13 14:58:14 2026 random seeds: 52c135d3 adba2d5c
  3. Tue Jan 13 14:58:14 2026 Using 32 OpenMP threads
  4. Tue Jan 13 14:58:14 2026 factoring 13503145974973896378640773767130144537760996773941337468912093071897450407545820004447182308737720249037301974212712236718397557727811073367767053633538046444495930296991885358502765353133852801018939481584907412779511485771948775719613 (236 digits)
  5. Tue Jan 13 14:58:15 2026 no P-1/P+1/ECM available, skipping
  6. Tue Jan 13 14:58:15 2026 commencing number field sieve (236-digit input)
  7. Tue Jan 13 14:58:15 2026 R0: 98079714615438570978383919826299936807616702653979054889
  8. Tue Jan 13 14:58:15 2026 R1: -46116860184273879040000000000000000000000000000000
  9. Tue Jan 13 14:58:15 2026 A0: -1
  10. Tue Jan 13 14:58:15 2026 A1: 3
  11. Tue Jan 13 14:58:15 2026 A2: 3
  12. Tue Jan 13 14:58:15 2026 A3: -4
  13. Tue Jan 13 14:58:15 2026 A4: -1
  14. Tue Jan 13 14:58:15 2026 A5: 1
  15. Tue Jan 13 14:58:15 2026 skew 1.00, size 5.516e-19, alpha 2.379, combined = 5.649e-15 rroots = 5
  16. Tue Jan 13 14:58:15 2026
  17. Tue Jan 13 14:58:15 2026 commencing relation filtering
  18. Tue Jan 13 14:58:15 2026 setting target matrix density to 120.0
  19. Tue Jan 13 14:58:15 2026 estimated available RAM is 128740.1 MB
  20. Tue Jan 13 14:58:15 2026 commencing duplicate removal, pass 1
  21. Tue Jan 13 15:05:41 2026 error -1 reading relation 644300066
  22. Tue Jan 13 15:06:00 2026 skipped 86643 relations with b > 2^32
  23. Tue Jan 13 15:06:00 2026 skipped 7 malformed relations
  24. Tue Jan 13 15:06:00 2026 found 25421351 hash collisions in 678321137 relations
  25. Tue Jan 13 15:06:03 2026 added 2926300 free relations
  26. Tue Jan 13 15:06:03 2026 commencing duplicate removal, pass 2
  27. Tue Jan 13 15:07:54 2026 found 0 duplicates and 681247437 unique relations
  28. Tue Jan 13 15:07:54 2026 memory use: 2089.5 MB
  29. Tue Jan 13 15:07:54 2026 reading ideals above 315949056
  30. Tue Jan 13 15:07:54 2026 commencing singleton removal, initial pass
  31. Tue Jan 13 15:19:04 2026 memory use: 11024.0 MB
  32. Tue Jan 13 15:19:05 2026 reading all ideals from disk
  33. Tue Jan 13 15:19:10 2026 memory use: 18292.2 MB
  34. Tue Jan 13 15:19:28 2026 commencing in-memory singleton removal
  35. Tue Jan 13 15:19:34 2026 begin with 681247437 relations and 521991670 unique ideals
  36. Tue Jan 13 15:20:08 2026 reduce to 540524706 relations and 376947887 ideals in 12 passes
  37. Tue Jan 13 15:20:08 2026 max relations containing the same ideal: 42
  38. Tue Jan 13 15:20:16 2026 reading ideals above 720000
  39. Tue Jan 13 15:20:17 2026 commencing singleton removal, initial pass
  40. Tue Jan 13 15:38:06 2026 memory use: 11024.0 MB
  41. Tue Jan 13 15:38:07 2026 reading all ideals from disk
  42. Tue Jan 13 15:38:18 2026 memory use: 27996.2 MB
  43. Tue Jan 13 15:38:48 2026 keeping 408182897 ideals with weight <= 200, target excess is 2900286
  44. Tue Jan 13 15:39:25 2026 commencing in-memory singleton removal
  45. Tue Jan 13 15:39:34 2026 begin with 540524706 relations and 408182897 unique ideals
  46. Tue Jan 13 15:39:45 2026 reduce to 540524703 relations and 408182894 ideals in 2 passes
  47. Tue Jan 13 15:39:45 2026 max relations containing the same ideal: 200
  48. Tue Jan 13 15:41:19 2026 removing 12821088 relations and 10821088 ideals in 2000000 cliques
  49. Tue Jan 13 15:41:26 2026 commencing in-memory singleton removal
  50. Tue Jan 13 15:41:34 2026 begin with 527703615 relations and 408182894 unique ideals
  51. Tue Jan 13 15:42:06 2026 reduce to 527480900 relations and 397137902 ideals in 7 passes
  52. Tue Jan 13 15:42:06 2026 max relations containing the same ideal: 200
  53. Tue Jan 13 15:43:35 2026 removing 9809153 relations and 7809153 ideals in 2000000 cliques
  54. Tue Jan 13 15:43:42 2026 commencing in-memory singleton removal
  55. Tue Jan 13 15:43:50 2026 begin with 517671747 relations and 397137902 unique ideals
  56. Tue Jan 13 15:44:20 2026 reduce to 517527087 relations and 389183451 ideals in 7 passes
  57. Tue Jan 13 15:44:20 2026 max relations containing the same ideal: 200
  58. Tue Jan 13 15:45:47 2026 removing 8842916 relations and 6842916 ideals in 2000000 cliques
  59. Tue Jan 13 15:45:54 2026 commencing in-memory singleton removal
  60. Tue Jan 13 15:46:02 2026 begin with 508684171 relations and 389183451 unique ideals
  61. Tue Jan 13 15:46:28 2026 reduce to 508559154 relations and 382214993 ideals in 6 passes
  62. Tue Jan 13 15:46:28 2026 max relations containing the same ideal: 199
  63. Tue Jan 13 15:47:52 2026 removing 8272084 relations and 6272084 ideals in 2000000 cliques
  64. Tue Jan 13 15:47:59 2026 commencing in-memory singleton removal
  65. Tue Jan 13 15:48:07 2026 begin with 500287070 relations and 382214993 unique ideals
  66. Tue Jan 13 15:48:32 2026 reduce to 500174533 relations and 375829913 ideals in 6 passes
  67. Tue Jan 13 15:48:32 2026 max relations containing the same ideal: 198
  68. Tue Jan 13 15:49:55 2026 removing 7886448 relations and 5886448 ideals in 2000000 cliques
  69. Tue Jan 13 15:50:02 2026 commencing in-memory singleton removal
  70. Tue Jan 13 15:50:10 2026 begin with 492288085 relations and 375829913 unique ideals
  71. Tue Jan 13 15:50:35 2026 reduce to 492182955 relations and 369837866 ideals in 6 passes
  72. Tue Jan 13 15:50:35 2026 max relations containing the same ideal: 196
  73. Tue Jan 13 15:51:57 2026 removing 7603358 relations and 5603358 ideals in 2000000 cliques
  74. Tue Jan 13 15:52:02 2026 commencing in-memory singleton removal
  75. Tue Jan 13 15:52:10 2026 begin with 484579597 relations and 369837866 unique ideals
  76. Tue Jan 13 15:52:35 2026 reduce to 484479205 relations and 364133710 ideals in 6 passes
  77. Tue Jan 13 15:52:35 2026 max relations containing the same ideal: 195
  78. Tue Jan 13 15:53:57 2026 removing 7382046 relations and 5382046 ideals in 2000000 cliques
  79. Tue Jan 13 15:54:02 2026 commencing in-memory singleton removal
  80. Tue Jan 13 15:54:10 2026 begin with 477097159 relations and 364133710 unique ideals
  81. Tue Jan 13 15:54:34 2026 reduce to 476999683 relations and 358653774 ideals in 6 passes
  82. Tue Jan 13 15:54:34 2026 max relations containing the same ideal: 194
  83. Tue Jan 13 15:55:50 2026 removing 7204858 relations and 5204858 ideals in 2000000 cliques
  84. Tue Jan 13 15:55:56 2026 commencing in-memory singleton removal
  85. Tue Jan 13 15:56:04 2026 begin with 469794825 relations and 358653774 unique ideals
  86. Tue Jan 13 15:56:27 2026 reduce to 469701436 relations and 353355117 ideals in 6 passes
  87. Tue Jan 13 15:56:27 2026 max relations containing the same ideal: 193
  88. Tue Jan 13 15:57:42 2026 removing 7061158 relations and 5061158 ideals in 2000000 cliques
  89. Tue Jan 13 15:57:48 2026 commencing in-memory singleton removal
  90. Tue Jan 13 15:57:55 2026 begin with 462640278 relations and 353355117 unique ideals
  91. Tue Jan 13 15:58:19 2026 reduce to 462548373 relations and 348201647 ideals in 6 passes
  92. Tue Jan 13 15:58:19 2026 max relations containing the same ideal: 192
  93. Tue Jan 13 15:59:33 2026 removing 6942843 relations and 4942843 ideals in 2000000 cliques
  94. Tue Jan 13 15:59:39 2026 commencing in-memory singleton removal
  95. Tue Jan 13 15:59:46 2026 begin with 455605530 relations and 348201647 unique ideals
  96. Tue Jan 13 16:00:09 2026 reduce to 455515588 relations and 343168449 ideals in 6 passes
  97. Tue Jan 13 16:00:09 2026 max relations containing the same ideal: 190
  98. Tue Jan 13 16:01:22 2026 removing 6840800 relations and 4840800 ideals in 2000000 cliques
  99. Tue Jan 13 16:01:28 2026 commencing in-memory singleton removal
  100. Tue Jan 13 16:01:35 2026 begin with 448674788 relations and 343168449 unique ideals
  101. Tue Jan 13 16:01:57 2026 reduce to 448585481 relations and 338237896 ideals in 6 passes
  102. Tue Jan 13 16:01:57 2026 max relations containing the same ideal: 188
  103. Tue Jan 13 16:03:10 2026 removing 6754847 relations and 4754847 ideals in 2000000 cliques
  104. Tue Jan 13 16:03:15 2026 commencing in-memory singleton removal
  105. Tue Jan 13 16:03:22 2026 begin with 441830634 relations and 338237896 unique ideals
  106. Tue Jan 13 16:03:44 2026 reduce to 441742001 relations and 333393990 ideals in 6 passes
  107. Tue Jan 13 16:03:44 2026 max relations containing the same ideal: 186
  108. Tue Jan 13 16:04:56 2026 removing 6681390 relations and 4681390 ideals in 2000000 cliques
  109. Tue Jan 13 16:05:01 2026 commencing in-memory singleton removal
  110. Tue Jan 13 16:05:08 2026 begin with 435060611 relations and 333393990 unique ideals
  111. Tue Jan 13 16:05:30 2026 reduce to 434973543 relations and 328625110 ideals in 6 passes
  112. Tue Jan 13 16:05:30 2026 max relations containing the same ideal: 184
  113. Tue Jan 13 16:06:43 2026 removing 6614408 relations and 4614408 ideals in 2000000 cliques
  114. Tue Jan 13 16:06:49 2026 commencing in-memory singleton removal
  115. Tue Jan 13 16:06:56 2026 begin with 428359135 relations and 328625110 unique ideals
  116. Tue Jan 13 16:07:18 2026 reduce to 428271950 relations and 323923027 ideals in 6 passes
  117. Tue Jan 13 16:07:18 2026 max relations containing the same ideal: 184
  118. Tue Jan 13 16:08:27 2026 removing 6554567 relations and 4554567 ideals in 2000000 cliques
  119. Tue Jan 13 16:08:33 2026 commencing in-memory singleton removal
  120. Tue Jan 13 16:08:40 2026 begin with 421717383 relations and 323923027 unique ideals
  121. Tue Jan 13 16:09:26 2026 reduce to 421630788 relations and 319281393 ideals in 6 passes
  122. Tue Jan 13 16:09:26 2026 max relations containing the same ideal: 183
  123. Tue Jan 13 16:18:20 2026 removing 6503392 relations and 4503392 ideals in 2000000 cliques
  124. Tue Jan 13 16:18:48 2026 commencing in-memory singleton removal
  125. Tue Jan 13 16:18:57 2026 begin with 415127396 relations and 319281393 unique ideals
  126. Tue Jan 13 16:19:50 2026 reduce to 415039738 relations and 314689867 ideals in 6 passes
  127. Tue Jan 13 16:19:50 2026 max relations containing the same ideal: 183
  128. Tue Jan 13 16:27:03 2026 removing 6457770 relations and 4457770 ideals in 2000000 cliques
  129. Tue Jan 13 16:27:28 2026 commencing in-memory singleton removal
  130. Tue Jan 13 16:27:38 2026 begin with 408581968 relations and 314689867 unique ideals
  131. Tue Jan 13 16:28:13 2026 reduce to 408495806 relations and 310145439 ideals in 5 passes
  132. Tue Jan 13 16:28:13 2026 max relations containing the same ideal: 178
  133. Tue Jan 13 16:35:14 2026 removing 6416673 relations and 4416673 ideals in 2000000 cliques
  134. Tue Jan 13 16:35:39 2026 commencing in-memory singleton removal
  135. Tue Jan 13 16:35:50 2026 begin with 402079133 relations and 310145439 unique ideals
  136. Tue Jan 13 16:36:24 2026 reduce to 401991091 relations and 305640141 ideals in 5 passes
  137. Tue Jan 13 16:36:24 2026 max relations containing the same ideal: 177
  138. Tue Jan 13 16:43:18 2026 removing 6384311 relations and 4384311 ideals in 2000000 cliques
  139. Tue Jan 13 16:43:41 2026 commencing in-memory singleton removal
  140. Tue Jan 13 16:43:50 2026 begin with 395606780 relations and 305640141 unique ideals
  141. Tue Jan 13 16:44:37 2026 reduce to 395518954 relations and 301167436 ideals in 6 passes
  142. Tue Jan 13 16:44:37 2026 max relations containing the same ideal: 175
  143. Tue Jan 13 16:51:08 2026 removing 6349294 relations and 4349294 ideals in 2000000 cliques
  144. Tue Jan 13 16:51:33 2026 commencing in-memory singleton removal
  145. Tue Jan 13 16:51:42 2026 begin with 389169660 relations and 301167436 unique ideals
  146. Tue Jan 13 16:52:26 2026 reduce to 389081724 relations and 296729639 ideals in 6 passes
  147. Tue Jan 13 16:52:26 2026 max relations containing the same ideal: 175
  148. Tue Jan 13 16:59:13 2026 removing 6323587 relations and 4323587 ideals in 2000000 cliques
  149. Tue Jan 13 16:59:37 2026 commencing in-memory singleton removal
  150. Tue Jan 13 16:59:47 2026 begin with 382758137 relations and 296729639 unique ideals
  151. Tue Jan 13 17:00:34 2026 reduce to 382668761 relations and 292316040 ideals in 6 passes
  152. Tue Jan 13 17:00:34 2026 max relations containing the same ideal: 175
  153. Tue Jan 13 17:07:31 2026 removing 6295107 relations and 4295107 ideals in 2000000 cliques
  154. Tue Jan 13 17:07:48 2026 commencing in-memory singleton removal
  155. Tue Jan 13 17:07:58 2026 begin with 376373654 relations and 292316040 unique ideals
  156. Tue Jan 13 17:08:46 2026 reduce to 376283737 relations and 287930383 ideals in 6 passes
  157. Tue Jan 13 17:08:46 2026 max relations containing the same ideal: 171
  158. Tue Jan 13 17:15:12 2026 removing 6275562 relations and 4275562 ideals in 2000000 cliques
  159. Tue Jan 13 17:15:35 2026 commencing in-memory singleton removal
  160. Tue Jan 13 17:15:43 2026 begin with 370008175 relations and 287930383 unique ideals
  161. Tue Jan 13 17:16:27 2026 reduce to 369917562 relations and 283563566 ideals in 6 passes
  162. Tue Jan 13 17:16:27 2026 max relations containing the same ideal: 169
  163. Tue Jan 13 17:21:34 2026 removing 6254467 relations and 4254467 ideals in 2000000 cliques
  164. Tue Jan 13 17:21:38 2026 commencing in-memory singleton removal
  165. Tue Jan 13 17:21:44 2026 begin with 363663095 relations and 283563566 unique ideals
  166. Tue Jan 13 17:22:03 2026 reduce to 363570841 relations and 279216157 ideals in 6 passes
  167. Tue Jan 13 17:22:03 2026 max relations containing the same ideal: 166
  168. Tue Jan 13 17:23:03 2026 removing 6236764 relations and 4236764 ideals in 2000000 cliques
  169. Tue Jan 13 17:23:07 2026 commencing in-memory singleton removal
  170. Tue Jan 13 17:23:13 2026 begin with 357334077 relations and 279216157 unique ideals
  171. Tue Jan 13 17:23:31 2026 reduce to 357240983 relations and 274885582 ideals in 6 passes
  172. Tue Jan 13 17:23:31 2026 max relations containing the same ideal: 163
  173. Tue Jan 13 17:24:38 2026 removing 6227162 relations and 4227162 ideals in 2000000 cliques
  174. Tue Jan 13 17:24:46 2026 commencing in-memory singleton removal
  175. Tue Jan 13 17:24:54 2026 begin with 351013821 relations and 274885582 unique ideals
  176. Tue Jan 13 17:25:19 2026 reduce to 350920541 relations and 270564415 ideals in 6 passes
  177. Tue Jan 13 17:25:19 2026 max relations containing the same ideal: 162
  178. Tue Jan 13 17:26:39 2026 removing 6210007 relations and 4210007 ideals in 2000000 cliques
  179. Tue Jan 13 17:26:43 2026 commencing in-memory singleton removal
  180. Tue Jan 13 17:26:49 2026 begin with 344710534 relations and 270564415 unique ideals
  181. Tue Jan 13 17:27:03 2026 reduce to 344615108 relations and 266258256 ideals in 5 passes
  182. Tue Jan 13 17:27:03 2026 max relations containing the same ideal: 161
  183. Tue Jan 13 17:28:01 2026 removing 6200849 relations and 4200849 ideals in 2000000 cliques
  184. Tue Jan 13 17:28:05 2026 commencing in-memory singleton removal
  185. Tue Jan 13 17:28:10 2026 begin with 338414259 relations and 266258256 unique ideals
  186. Tue Jan 13 17:28:28 2026 reduce to 338317812 relations and 261960153 ideals in 6 passes
  187. Tue Jan 13 17:28:28 2026 max relations containing the same ideal: 161
  188. Tue Jan 13 17:29:24 2026 removing 6188695 relations and 4188695 ideals in 2000000 cliques
  189. Tue Jan 13 17:29:28 2026 commencing in-memory singleton removal
  190. Tue Jan 13 17:29:34 2026 begin with 332129117 relations and 261960153 unique ideals
  191. Tue Jan 13 17:29:50 2026 reduce to 332031062 relations and 257672610 ideals in 6 passes
  192. Tue Jan 13 17:29:50 2026 max relations containing the same ideal: 161
  193. Tue Jan 13 17:30:46 2026 removing 6184688 relations and 4184688 ideals in 2000000 cliques
  194. Tue Jan 13 17:30:50 2026 commencing in-memory singleton removal
  195. Tue Jan 13 17:30:55 2026 begin with 325846374 relations and 257672610 unique ideals
  196. Tue Jan 13 17:31:12 2026 reduce to 325746825 relations and 253387595 ideals in 6 passes
  197. Tue Jan 13 17:31:12 2026 max relations containing the same ideal: 160
  198. Tue Jan 13 17:32:07 2026 removing 6180634 relations and 4180634 ideals in 2000000 cliques
  199. Tue Jan 13 17:32:11 2026 commencing in-memory singleton removal
  200. Tue Jan 13 17:32:16 2026 begin with 319566191 relations and 253387595 unique ideals
  201. Tue Jan 13 17:32:32 2026 reduce to 319465209 relations and 249105105 ideals in 6 passes
  202. Tue Jan 13 17:32:32 2026 max relations containing the same ideal: 160
  203. Tue Jan 13 17:33:25 2026 removing 6172812 relations and 4172812 ideals in 2000000 cliques
  204. Tue Jan 13 17:33:29 2026 commencing in-memory singleton removal
  205. Tue Jan 13 17:33:34 2026 begin with 313292397 relations and 249105105 unique ideals
  206. Tue Jan 13 17:33:50 2026 reduce to 313189267 relations and 244828285 ideals in 6 passes
  207. Tue Jan 13 17:33:50 2026 max relations containing the same ideal: 156
  208. Tue Jan 13 17:34:43 2026 removing 6177144 relations and 4177144 ideals in 2000000 cliques
  209. Tue Jan 13 17:34:47 2026 commencing in-memory singleton removal
  210. Tue Jan 13 17:34:51 2026 begin with 307012123 relations and 244828285 unique ideals
  211. Tue Jan 13 17:35:07 2026 reduce to 306907218 relations and 240545360 ideals in 6 passes
  212. Tue Jan 13 17:35:07 2026 max relations containing the same ideal: 155
  213. Tue Jan 13 17:35:58 2026 removing 6173917 relations and 4173917 ideals in 2000000 cliques
  214. Tue Jan 13 17:36:02 2026 commencing in-memory singleton removal
  215. Tue Jan 13 17:36:07 2026 begin with 300733301 relations and 240545360 unique ideals
  216. Tue Jan 13 17:36:22 2026 reduce to 300626915 relations and 236264090 ideals in 6 passes
  217. Tue Jan 13 17:36:22 2026 max relations containing the same ideal: 152
  218. Tue Jan 13 17:37:12 2026 removing 6176560 relations and 4176560 ideals in 2000000 cliques
  219. Tue Jan 13 17:37:16 2026 commencing in-memory singleton removal
  220. Tue Jan 13 17:37:20 2026 begin with 294450355 relations and 236264090 unique ideals
  221. Tue Jan 13 17:37:35 2026 reduce to 294341476 relations and 231977620 ideals in 6 passes
  222. Tue Jan 13 17:37:35 2026 max relations containing the same ideal: 150
  223. Tue Jan 13 17:38:24 2026 removing 6179670 relations and 4179670 ideals in 2000000 cliques
  224. Tue Jan 13 17:38:28 2026 commencing in-memory singleton removal
  225. Tue Jan 13 17:38:32 2026 begin with 288161806 relations and 231977620 unique ideals
  226. Tue Jan 13 17:38:44 2026 reduce to 288050688 relations and 227685792 ideals in 5 passes
  227. Tue Jan 13 17:38:44 2026 max relations containing the same ideal: 148
  228. Tue Jan 13 17:39:33 2026 removing 6187071 relations and 4187071 ideals in 2000000 cliques
  229. Tue Jan 13 17:39:37 2026 commencing in-memory singleton removal
  230. Tue Jan 13 17:39:41 2026 begin with 281863617 relations and 227685792 unique ideals
  231. Tue Jan 13 17:39:53 2026 reduce to 281750169 relations and 223384194 ideals in 5 passes
  232. Tue Jan 13 17:39:53 2026 max relations containing the same ideal: 145
  233. Tue Jan 13 17:40:40 2026 removing 6194592 relations and 4194592 ideals in 2000000 cliques
  234. Tue Jan 13 17:40:44 2026 commencing in-memory singleton removal
  235. Tue Jan 13 17:40:48 2026 begin with 275555577 relations and 223384194 unique ideals
  236. Tue Jan 13 17:41:02 2026 reduce to 275438951 relations and 219071850 ideals in 6 passes
  237. Tue Jan 13 17:41:02 2026 max relations containing the same ideal: 142
  238. Tue Jan 13 17:41:48 2026 removing 6201304 relations and 4201304 ideals in 2000000 cliques
  239. Tue Jan 13 17:41:52 2026 commencing in-memory singleton removal
  240. Tue Jan 13 17:41:57 2026 begin with 269237647 relations and 219071850 unique ideals
  241. Tue Jan 13 17:42:10 2026 reduce to 269118601 relations and 214750318 ideals in 6 passes
  242. Tue Jan 13 17:42:10 2026 max relations containing the same ideal: 140
  243. Tue Jan 13 17:42:55 2026 removing 6211425 relations and 4211425 ideals in 2000000 cliques
  244. Tue Jan 13 17:42:58 2026 commencing in-memory singleton removal
  245. Tue Jan 13 17:43:02 2026 begin with 262907176 relations and 214750318 unique ideals
  246. Tue Jan 13 17:43:15 2026 reduce to 262784752 relations and 210415237 ideals in 6 passes
  247. Tue Jan 13 17:43:15 2026 max relations containing the same ideal: 136
  248. Tue Jan 13 17:43:59 2026 removing 6222415 relations and 4222415 ideals in 2000000 cliques
  249. Tue Jan 13 17:44:03 2026 commencing in-memory singleton removal
  250. Tue Jan 13 17:44:07 2026 begin with 256562337 relations and 210415237 unique ideals
  251. Tue Jan 13 17:44:20 2026 reduce to 256436553 relations and 206065800 ideals in 6 passes
  252. Tue Jan 13 17:44:20 2026 max relations containing the same ideal: 134
  253. Tue Jan 13 17:45:02 2026 removing 6237603 relations and 4237603 ideals in 2000000 cliques
  254. Tue Jan 13 17:45:05 2026 commencing in-memory singleton removal
  255. Tue Jan 13 17:45:09 2026 begin with 250198950 relations and 206065800 unique ideals
  256. Tue Jan 13 17:45:22 2026 reduce to 250069743 relations and 201697634 ideals in 6 passes
  257. Tue Jan 13 17:45:22 2026 max relations containing the same ideal: 131
  258. Tue Jan 13 17:46:04 2026 removing 6257069 relations and 4257069 ideals in 2000000 cliques
  259. Tue Jan 13 17:46:07 2026 commencing in-memory singleton removal
  260. Tue Jan 13 17:46:11 2026 begin with 243812674 relations and 201697634 unique ideals
  261. Tue Jan 13 17:46:23 2026 reduce to 243680649 relations and 197307148 ideals in 6 passes
  262. Tue Jan 13 17:46:23 2026 max relations containing the same ideal: 130
  263. Tue Jan 13 17:47:04 2026 removing 6274971 relations and 4274971 ideals in 2000000 cliques
  264. Tue Jan 13 17:47:07 2026 commencing in-memory singleton removal
  265. Tue Jan 13 17:47:11 2026 begin with 237405678 relations and 197307148 unique ideals
  266. Tue Jan 13 17:47:22 2026 reduce to 237269481 relations and 192894458 ideals in 6 passes
  267. Tue Jan 13 17:47:22 2026 max relations containing the same ideal: 125
  268. Tue Jan 13 17:48:02 2026 removing 6294082 relations and 4294082 ideals in 2000000 cliques
  269. Tue Jan 13 17:48:05 2026 commencing in-memory singleton removal
  270. Tue Jan 13 17:48:09 2026 begin with 230975399 relations and 192894458 unique ideals
  271. Tue Jan 13 17:48:20 2026 reduce to 230834385 relations and 188457780 ideals in 6 passes
  272. Tue Jan 13 17:48:20 2026 max relations containing the same ideal: 123
  273. Tue Jan 13 17:49:00 2026 removing 6316221 relations and 4316221 ideals in 2000000 cliques
  274. Tue Jan 13 17:49:03 2026 commencing in-memory singleton removal
  275. Tue Jan 13 17:49:06 2026 begin with 224518164 relations and 188457780 unique ideals
  276. Tue Jan 13 17:49:17 2026 reduce to 224373052 relations and 183994754 ideals in 6 passes
  277. Tue Jan 13 17:49:17 2026 max relations containing the same ideal: 122
  278. Tue Jan 13 17:49:56 2026 removing 6343443 relations and 4343443 ideals in 2000000 cliques
  279. Tue Jan 13 17:49:59 2026 commencing in-memory singleton removal
  280. Tue Jan 13 17:50:02 2026 begin with 218029609 relations and 183994754 unique ideals
  281. Tue Jan 13 17:50:13 2026 reduce to 217879464 relations and 179499542 ideals in 6 passes
  282. Tue Jan 13 17:50:13 2026 max relations containing the same ideal: 120
  283. Tue Jan 13 17:50:50 2026 removing 6374263 relations and 4374263 ideals in 2000000 cliques
  284. Tue Jan 13 17:50:53 2026 commencing in-memory singleton removal
  285. Tue Jan 13 17:50:56 2026 begin with 211505201 relations and 179499542 unique ideals
  286. Tue Jan 13 17:51:06 2026 reduce to 211349718 relations and 174967998 ideals in 6 passes
  287. Tue Jan 13 17:51:06 2026 max relations containing the same ideal: 117
  288. Tue Jan 13 17:51:42 2026 removing 6410781 relations and 4410781 ideals in 2000000 cliques
  289. Tue Jan 13 17:51:45 2026 commencing in-memory singleton removal
  290. Tue Jan 13 17:51:48 2026 begin with 204938937 relations and 174967998 unique ideals
  291. Tue Jan 13 17:51:58 2026 reduce to 204777845 relations and 170394355 ideals in 6 passes
  292. Tue Jan 13 17:51:58 2026 max relations containing the same ideal: 114
  293. Tue Jan 13 17:52:33 2026 removing 6443473 relations and 4443473 ideals in 2000000 cliques
  294. Tue Jan 13 17:52:36 2026 commencing in-memory singleton removal
  295. Tue Jan 13 17:52:39 2026 begin with 198334372 relations and 170394355 unique ideals
  296. Tue Jan 13 17:52:49 2026 reduce to 198166680 relations and 165781248 ideals in 6 passes
  297. Tue Jan 13 17:52:49 2026 max relations containing the same ideal: 111
  298. Tue Jan 13 17:53:24 2026 removing 6482948 relations and 4482948 ideals in 2000000 cliques
  299. Tue Jan 13 17:53:27 2026 commencing in-memory singleton removal
  300. Tue Jan 13 17:53:30 2026 begin with 191683732 relations and 165781248 unique ideals
  301. Tue Jan 13 17:53:41 2026 reduce to 191509825 relations and 161122305 ideals in 7 passes
  302. Tue Jan 13 17:53:41 2026 max relations containing the same ideal: 109
  303. Tue Jan 13 17:54:14 2026 removing 6530681 relations and 4530681 ideals in 2000000 cliques
  304. Tue Jan 13 17:54:17 2026 commencing in-memory singleton removal
  305. Tue Jan 13 17:54:20 2026 begin with 184979144 relations and 161122305 unique ideals
  306. Tue Jan 13 17:54:29 2026 reduce to 184796980 relations and 156407330 ideals in 6 passes
  307. Tue Jan 13 17:54:29 2026 max relations containing the same ideal: 106
  308. Tue Jan 13 17:55:01 2026 removing 6577714 relations and 4577714 ideals in 2000000 cliques
  309. Tue Jan 13 17:55:04 2026 commencing in-memory singleton removal
  310. Tue Jan 13 17:55:07 2026 begin with 178219266 relations and 156407330 unique ideals
  311. Tue Jan 13 17:55:17 2026 reduce to 178027933 relations and 151636003 ideals in 7 passes
  312. Tue Jan 13 17:55:17 2026 max relations containing the same ideal: 101
  313. Tue Jan 13 17:55:48 2026 removing 6629930 relations and 4629930 ideals in 2000000 cliques
  314. Tue Jan 13 17:55:51 2026 commencing in-memory singleton removal
  315. Tue Jan 13 17:55:53 2026 begin with 171398003 relations and 151636003 unique ideals
  316. Tue Jan 13 17:56:03 2026 reduce to 171198109 relations and 146803689 ideals in 7 passes
  317. Tue Jan 13 17:56:03 2026 max relations containing the same ideal: 100
  318. Tue Jan 13 17:56:33 2026 removing 6688931 relations and 4688931 ideals in 2000000 cliques
  319. Tue Jan 13 17:56:36 2026 commencing in-memory singleton removal
  320. Tue Jan 13 17:56:38 2026 begin with 164509178 relations and 146803689 unique ideals
  321. Tue Jan 13 17:56:46 2026 reduce to 164298413 relations and 141901482 ideals in 6 passes
  322. Tue Jan 13 17:56:46 2026 max relations containing the same ideal: 97
  323. Tue Jan 13 17:57:16 2026 removing 6755528 relations and 4755528 ideals in 2000000 cliques
  324. Tue Jan 13 17:57:18 2026 commencing in-memory singleton removal
  325. Tue Jan 13 17:57:21 2026 begin with 157542885 relations and 141901482 unique ideals
  326. Tue Jan 13 17:57:28 2026 reduce to 157322879 relations and 136923201 ideals in 6 passes
  327. Tue Jan 13 17:57:28 2026 max relations containing the same ideal: 94
  328. Tue Jan 13 17:57:57 2026 removing 6828885 relations and 4828885 ideals in 2000000 cliques
  329. Tue Jan 13 17:57:59 2026 commencing in-memory singleton removal
  330. Tue Jan 13 17:58:01 2026 begin with 150493994 relations and 136923201 unique ideals
  331. Tue Jan 13 17:58:09 2026 reduce to 150257959 relations and 131855276 ideals in 6 passes
  332. Tue Jan 13 17:58:09 2026 max relations containing the same ideal: 92
  333. Tue Jan 13 17:58:36 2026 removing 6899470 relations and 4899470 ideals in 2000000 cliques
  334. Tue Jan 13 17:58:38 2026 commencing in-memory singleton removal
  335. Tue Jan 13 17:58:40 2026 begin with 143358489 relations and 131855276 unique ideals
  336. Tue Jan 13 17:58:48 2026 reduce to 143107900 relations and 126701937 ideals in 7 passes
  337. Tue Jan 13 17:58:48 2026 max relations containing the same ideal: 90
  338. Tue Jan 13 17:59:14 2026 removing 6989774 relations and 4989774 ideals in 2000000 cliques
  339. Tue Jan 13 17:59:16 2026 commencing in-memory singleton removal
  340. Tue Jan 13 17:59:19 2026 begin with 136118126 relations and 126701937 unique ideals
  341. Tue Jan 13 17:59:26 2026 reduce to 135847936 relations and 121438375 ideals in 7 passes
  342. Tue Jan 13 17:59:26 2026 max relations containing the same ideal: 88
  343. Tue Jan 13 17:59:51 2026 removing 7088374 relations and 5088374 ideals in 2000000 cliques
  344. Tue Jan 13 17:59:53 2026 commencing in-memory singleton removal
  345. Tue Jan 13 17:59:55 2026 begin with 128759562 relations and 121438375 unique ideals
  346. Tue Jan 13 18:00:01 2026 reduce to 128468905 relations and 116055286 ideals in 6 passes
  347. Tue Jan 13 18:00:01 2026 max relations containing the same ideal: 85
  348. Tue Jan 13 18:00:26 2026 removing 7193932 relations and 5193932 ideals in 2000000 cliques
  349. Tue Jan 13 18:00:28 2026 commencing in-memory singleton removal
  350. Tue Jan 13 18:00:30 2026 begin with 121274973 relations and 116055286 unique ideals
  351. Tue Jan 13 18:00:35 2026 reduce to 120959194 relations and 110541046 ideals in 6 passes
  352. Tue Jan 13 18:00:35 2026 max relations containing the same ideal: 81
  353. Tue Jan 13 18:00:58 2026 removing 7317147 relations and 5317147 ideals in 2000000 cliques
  354. Tue Jan 13 18:01:00 2026 commencing in-memory singleton removal
  355. Tue Jan 13 18:01:02 2026 begin with 113642047 relations and 110541046 unique ideals
  356. Tue Jan 13 18:01:08 2026 reduce to 113294732 relations and 104871528 ideals in 7 passes
  357. Tue Jan 13 18:01:08 2026 max relations containing the same ideal: 76
  358. Tue Jan 13 18:01:30 2026 removing 7454181 relations and 5454181 ideals in 2000000 cliques
  359. Tue Jan 13 18:01:32 2026 commencing in-memory singleton removal
  360. Tue Jan 13 18:01:33 2026 begin with 105840551 relations and 104871528 unique ideals
  361. Tue Jan 13 18:01:39 2026 reduce to 105455214 relations and 99026113 ideals in 7 passes
  362. Tue Jan 13 18:01:39 2026 max relations containing the same ideal: 71
  363. Tue Jan 13 18:01:59 2026 removing 7610625 relations and 5610625 ideals in 2000000 cliques
  364. Tue Jan 13 18:02:01 2026 commencing in-memory singleton removal
  365. Tue Jan 13 18:02:03 2026 begin with 97844589 relations and 99026113 unique ideals
  366. Tue Jan 13 18:02:08 2026 reduce to 97411763 relations and 92975698 ideals in 7 passes
  367. Tue Jan 13 18:02:08 2026 max relations containing the same ideal: 68
  368. Tue Jan 13 18:02:27 2026 removing 4700775 relations and 3629042 ideals in 1071733 cliques
  369. Tue Jan 13 18:02:28 2026 commencing in-memory singleton removal
  370. Tue Jan 13 18:02:30 2026 begin with 92710988 relations and 92975698 unique ideals
  371. Tue Jan 13 18:02:35 2026 reduce to 92545558 relations and 89179801 ideals in 7 passes
  372. Tue Jan 13 18:02:35 2026 max relations containing the same ideal: 66
  373. Tue Jan 13 18:02:59 2026 relations with 0 large ideals: 217902
  374. Tue Jan 13 18:02:59 2026 relations with 1 large ideals: 60284
  375. Tue Jan 13 18:02:59 2026 relations with 2 large ideals: 710729
  376. Tue Jan 13 18:02:59 2026 relations with 3 large ideals: 3999342
  377. Tue Jan 13 18:02:59 2026 relations with 4 large ideals: 12100360
  378. Tue Jan 13 18:02:59 2026 relations with 5 large ideals: 21823784
  379. Tue Jan 13 18:02:59 2026 relations with 6 large ideals: 26573857
  380. Tue Jan 13 18:02:59 2026 relations with 7+ large ideals: 27059300
  381. Tue Jan 13 18:02:59 2026 commencing 2-way merge
  382. Tue Jan 13 18:03:27 2026 reduce to 58461978 relation sets and 55096221 unique ideals
  383. Tue Jan 13 18:03:27 2026 commencing full merge
  384. Tue Jan 13 18:16:47 2026 memory use: 7183.5 MB
  385. Tue Jan 13 18:16:51 2026 found 26512921 cycles, need 26214421
  386. Tue Jan 13 18:16:56 2026 weight of 26214421 cycles is about 3146038733 (120.01/cycle)
  387. Tue Jan 13 18:16:56 2026 distribution of cycle lengths:
  388. Tue Jan 13 18:16:56 2026 1 relations: 1836343
  389. Tue Jan 13 18:16:56 2026 2 relations: 1732265
  390. Tue Jan 13 18:16:56 2026 3 relations: 1723693
  391. Tue Jan 13 18:16:56 2026 4 relations: 1728271
  392. Tue Jan 13 18:16:56 2026 5 relations: 1765456
  393. Tue Jan 13 18:16:56 2026 6 relations: 1769319
  394. Tue Jan 13 18:16:56 2026 7 relations: 1761861
  395. Tue Jan 13 18:16:56 2026 8 relations: 1713729
  396. Tue Jan 13 18:16:56 2026 9 relations: 1645404
  397. Tue Jan 13 18:16:56 2026 10+ relations: 10538080
  398. Tue Jan 13 18:16:56 2026 heaviest cycle: 28 relations
  399. Tue Jan 13 18:17:00 2026 commencing cycle optimization
  400. Tue Jan 13 18:17:36 2026 start with 227751243 relations
  401. Tue Jan 13 18:22:18 2026 pruned 10002331 relations
  402. Tue Jan 13 18:22:18 2026 memory use: 6116.2 MB
  403. Tue Jan 13 18:22:18 2026 distribution of cycle lengths:
  404. Tue Jan 13 18:22:18 2026 1 relations: 1836343
  405. Tue Jan 13 18:22:18 2026 2 relations: 1765479
  406. Tue Jan 13 18:22:18 2026 3 relations: 1785882
  407. Tue Jan 13 18:22:18 2026 4 relations: 1794099
  408. Tue Jan 13 18:22:18 2026 5 relations: 1850001
  409. Tue Jan 13 18:22:18 2026 6 relations: 1854797
  410. Tue Jan 13 18:22:18 2026 7 relations: 1857076
  411. Tue Jan 13 18:22:18 2026 8 relations: 1803414
  412. Tue Jan 13 18:22:18 2026 9 relations: 1731148
  413. Tue Jan 13 18:22:18 2026 10+ relations: 9936182
  414. Tue Jan 13 18:22:18 2026 heaviest cycle: 28 relations
  415. Tue Jan 13 18:22:43 2026 RelProcTime: 12268
  416. Tue Jan 13 18:22:43 2026 elapsed time 03:24:29
  417. Wed Jan 14 10:38:26 2026
  418. Wed Jan 14 10:38:26 2026
  419. Wed Jan 14 10:38:26 2026 Msieve v. 1.54 (SVN 573b9ef)
  420. Wed Jan 14 10:38:26 2026 random seeds: f3c18544 a94c2419
  421. Wed Jan 14 10:38:26 2026 MPI process 0 of 2
  422. Wed Jan 14 10:38:26 2026 Using 8 OpenMP threads
  423. Wed Jan 14 10:38:26 2026 factoring 13503145974973896378640773767130144537760996773941337468912093071897450407545820004447182308737720249037301974212712236718397557727811073367767053633538046444495930296991885358502765353133852801018939481584907412779511485771948775719613 (236 digits)
  424. Wed Jan 14 10:38:27 2026 no P-1/P+1/ECM available, skipping
  425. Wed Jan 14 10:38:27 2026 commencing number field sieve (236-digit input)
  426. Wed Jan 14 10:38:27 2026 R0: 98079714615438570978383919826299936807616702653979054889
  427. Wed Jan 14 10:38:27 2026 R1: -46116860184273879040000000000000000000000000000000
  428. Wed Jan 14 10:38:27 2026 A0: -1
  429. Wed Jan 14 10:38:27 2026 A1: 3
  430. Wed Jan 14 10:38:27 2026 A2: 3
  431. Wed Jan 14 10:38:27 2026 A3: -4
  432. Wed Jan 14 10:38:27 2026 A4: -1
  433. Wed Jan 14 10:38:27 2026 A5: 1
  434. Wed Jan 14 10:38:27 2026 skew 1.00, size 5.516e-19, alpha 2.379, combined = 5.649e-15 rroots = 5
  435. Wed Jan 14 10:38:27 2026
  436. Wed Jan 14 10:38:27 2026 commencing linear algebra
  437. Wed Jan 14 10:38:27 2026 using VBITS=256
  438. Wed Jan 14 10:38:27 2026 initialized process (0,0) of 1 x 2 grid
  439. Wed Jan 14 10:38:31 2026 read 26214421 cycles
  440. Wed Jan 14 10:41:10 2026 cycles contain 90793473 unique relations
  441. Wed Jan 14 10:45:19 2026 read 90793473 relations
  442. Wed Jan 14 10:47:03 2026 using 20 quadratic characters above 4294917295
  443. Wed Jan 14 10:47:32 2026 building initial matrix
  444. Wed Jan 14 11:44:16 2026 memory use: 11584.0 MB
  445. Wed Jan 14 11:45:03 2026 read 26214421 cycles
  446. Wed Jan 14 11:45:10 2026 matrix is 26214243 x 26214421 (12365.5 MB) with weight 3503742657 (133.66/col)
  447. Wed Jan 14 11:45:10 2026 sparse part has weight 2953189658 (112.66/col)
  448. Wed Jan 14 11:56:53 2026 filtering completed in 2 passes
  449. Wed Jan 14 11:56:56 2026 matrix is 26212678 x 26212841 (12365.4 MB) with weight 3503686329 (133.66/col)
  450. Wed Jan 14 11:56:56 2026 sparse part has weight 2953165931 (112.66/col)
  451. Wed Jan 14 11:57:33 2026 matrix starts at (0, 0)
  452. Wed Jan 14 11:57:34 2026 matrix is 26212678 x 13106432 (6182.7 MB) with weight 1751835105 (133.66/col)
  453. Wed Jan 14 11:57:34 2026 sparse part has weight 1476583122 (112.66/col)
  454. Wed Jan 14 11:57:34 2026 saving the first 240 matrix rows for later
  455. Wed Jan 14 11:57:36 2026 matrix includes 256 packed rows
  456. Wed Jan 14 11:57:41 2026 matrix is 26212438 x 13106432 (5744.6 MB) with weight 1359267152 (103.71/col)
  457. Wed Jan 14 11:57:41 2026 sparse part has weight 1296202542 (98.90/col)
  458. Wed Jan 14 11:57:41 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  459. Wed Jan 14 11:57:41 2026 selected card has CUDA arch 8.6
  460. Wed Jan 14 11:58:54 2026 commencing Lanczos iteration
  461. Wed Jan 14 11:58:56 2026 memory use: 14439.0 MB
  462. Wed Jan 14 12:00:01 2026 linear algebra at 0.1%, ETA 13h32m
  463. Wed Jan 14 12:01:27 2026 checking every 30000 dimensions, checkpointing every 1950000 dimensions
  464. Thu Jan 15 01:41:42 2026 lanczos halted after 102701 iterations (dim = 26212434)
  465. Thu Jan 15 01:49:26 2026 recovered 33 nontrivial dependencies
  466. Thu Jan 15 01:49:28 2026 BLanczosTime: 54661
  467. Thu Jan 15 01:49:28 2026 elapsed time 15:11:02
  468. Thu Jan 15 08:07:32 2026
  469. Thu Jan 15 08:07:32 2026
  470. Thu Jan 15 08:07:32 2026 Msieve v. 1.54 (SVN 573b9ef)
  471. Thu Jan 15 08:07:32 2026 random seeds: 2581599d bf93e523
  472. Thu Jan 15 08:07:32 2026 Using 32 OpenMP threads
  473. Thu Jan 15 08:07:32 2026 factoring 13503145974973896378640773767130144537760996773941337468912093071897450407545820004447182308737720249037301974212712236718397557727811073367767053633538046444495930296991885358502765353133852801018939481584907412779511485771948775719613 (236 digits)
  474. Thu Jan 15 08:07:33 2026 no P-1/P+1/ECM available, skipping
  475. Thu Jan 15 08:07:33 2026 commencing number field sieve (236-digit input)
  476. Thu Jan 15 08:07:33 2026 R0: 98079714615438570978383919826299936807616702653979054889
  477. Thu Jan 15 08:07:33 2026 R1: -46116860184273879040000000000000000000000000000000
  478. Thu Jan 15 08:07:33 2026 A0: -1
  479. Thu Jan 15 08:07:33 2026 A1: 3
  480. Thu Jan 15 08:07:33 2026 A2: 3
  481. Thu Jan 15 08:07:33 2026 A3: -4
  482. Thu Jan 15 08:07:33 2026 A4: -1
  483. Thu Jan 15 08:07:33 2026 A5: 1
  484. Thu Jan 15 08:07:33 2026 skew 1.00, size 5.516e-19, alpha 2.379, combined = 5.649e-15 rroots = 5
  485. Thu Jan 15 08:07:33 2026
  486. Thu Jan 15 08:07:33 2026 commencing square root phase
  487. Thu Jan 15 08:07:33 2026 reading relations for dependency 1
  488. Thu Jan 15 08:07:34 2026 read 13106386 cycles
  489. Thu Jan 15 08:07:51 2026 cycles contain 45399812 unique relations
  490. Thu Jan 15 08:08:57 2026 read 45399812 relations
  491. Thu Jan 15 08:10:41 2026 multiplying 45399812 relations
  492. Thu Jan 15 08:12:18 2026 multiply complete, coefficients have about 1254.57 million bits
  493. Thu Jan 15 08:12:20 2026 initial square root is modulo 424331
  494. Thu Jan 15 08:16:22 2026 sqrtTime: 529
  495. Thu Jan 15 08:16:22 2026 p101 factor: 48127368799089343851109531405551240792465441527021423632256853115825472602177514073258615683200209943
  496. Thu Jan 15 08:16:22 2026 p135 factor: 280571041216560339415963158583217487063944534688032184983846980115564451347500445258840322374373991668754176709699954691859440501743691
  497. Thu Jan 15 08:16:22 2026 elapsed time 00:08:50
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