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  1. Tue Jan 6 13:39:30 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Tue Jan 6 13:39:30 2026 random seeds: 89fe3342 d3361662
  3. Tue Jan 6 13:39:30 2026 Using 32 OpenMP threads
  4. Tue Jan 6 13:39:30 2026 factoring 3771362456355181751667965279024746753562207273361466906825993485873229485653947705414426471220510643063407060298236647885669005659423698483489717540581469756896827106937915414942234153588949336561505051210826115440284311 (220 digits)
  5. Tue Jan 6 13:39:30 2026 no P-1/P+1/ECM available, skipping
  6. Tue Jan 6 13:39:30 2026 commencing number field sieve (220-digit input)
  7. Tue Jan 6 13:39:30 2026 R0: 102221194389905859962894078900730367375382128682
  8. Tue Jan 6 13:39:30 2026 R1: -319720494166241804842291
  9. Tue Jan 6 13:39:30 2026 A0: -1
  10. Tue Jan 6 13:39:30 2026 A1: 3
  11. Tue Jan 6 13:39:30 2026 A2: 6
  12. Tue Jan 6 13:39:30 2026 A3: -4
  13. Tue Jan 6 13:39:30 2026 A4: -5
  14. Tue Jan 6 13:39:30 2026 A5: 1
  15. Tue Jan 6 13:39:30 2026 A6: 1
  16. Tue Jan 6 13:39:30 2026 skew 1.39, size 8.346e-14, alpha 3.126, combined = 1.700e-14 rroots = 6
  17. Tue Jan 6 13:39:30 2026
  18. Tue Jan 6 13:39:30 2026 commencing relation filtering
  19. Tue Jan 6 13:39:30 2026 setting target matrix density to 120.0
  20. Tue Jan 6 13:39:30 2026 estimated available RAM is 128740.1 MB
  21. Tue Jan 6 13:39:30 2026 commencing duplicate removal, pass 1
  22. Tue Jan 6 13:42:26 2026 error -1 reading relation 296281375
  23. Tue Jan 6 13:42:44 2026 error -11 reading relation 324627217
  24. Tue Jan 6 13:44:16 2026 error -1 reading relation 477822650
  25. Tue Jan 6 13:45:11 2026 error -5 reading relation 564611376
  26. Tue Jan 6 13:45:22 2026 error -15 reading relation 581871910
  27. Tue Jan 6 13:45:39 2026 skipped 7167 relations with b > 2^32
  28. Tue Jan 6 13:45:39 2026 skipped 7 malformed relations
  29. Tue Jan 6 13:45:39 2026 found 20530725 hash collisions in 607965703 relations
  30. Tue Jan 6 13:45:42 2026 added 2438358 free relations
  31. Tue Jan 6 13:45:42 2026 commencing duplicate removal, pass 2
  32. Tue Jan 6 13:47:28 2026 found 0 duplicates and 610404061 unique relations
  33. Tue Jan 6 13:47:28 2026 memory use: 2089.5 MB
  34. Tue Jan 6 13:47:29 2026 reading ideals above 474939392
  35. Tue Jan 6 13:47:29 2026 commencing singleton removal, initial pass
  36. Tue Jan 6 13:55:51 2026 memory use: 11024.0 MB
  37. Tue Jan 6 13:55:51 2026 reading all ideals from disk
  38. Tue Jan 6 13:55:54 2026 memory use: 15311.0 MB
  39. Tue Jan 6 13:56:08 2026 commencing in-memory singleton removal
  40. Tue Jan 6 13:56:12 2026 begin with 610404061 relations and 480976377 unique ideals
  41. Tue Jan 6 13:56:44 2026 reduce to 452580497 relations and 315302017 ideals in 16 passes
  42. Tue Jan 6 13:56:44 2026 max relations containing the same ideal: 42
  43. Tue Jan 6 13:56:51 2026 reading ideals above 720000
  44. Tue Jan 6 13:56:52 2026 commencing singleton removal, initial pass
  45. Tue Jan 6 14:11:05 2026 memory use: 11024.0 MB
  46. Tue Jan 6 14:11:06 2026 reading all ideals from disk
  47. Tue Jan 6 14:11:13 2026 memory use: 23066.6 MB
  48. Tue Jan 6 14:11:33 2026 keeping 363154069 ideals with weight <= 200, target excess is 2351855
  49. Tue Jan 6 14:12:01 2026 commencing in-memory singleton removal
  50. Tue Jan 6 14:12:08 2026 begin with 452580497 relations and 363154069 unique ideals
  51. Tue Jan 6 14:12:43 2026 reduce to 452563375 relations and 363136947 ideals in 9 passes
  52. Tue Jan 6 14:12:43 2026 max relations containing the same ideal: 200
  53. Tue Jan 6 14:14:04 2026 removing 15246295 relations and 13246295 ideals in 2000000 cliques
  54. Tue Jan 6 14:14:10 2026 commencing in-memory singleton removal
  55. Tue Jan 6 14:14:18 2026 begin with 437317080 relations and 363136947 unique ideals
  56. Tue Jan 6 14:14:47 2026 reduce to 436936212 relations and 349507273 ideals in 8 passes
  57. Tue Jan 6 14:14:47 2026 max relations containing the same ideal: 200
  58. Tue Jan 6 14:16:05 2026 removing 11457856 relations and 9457856 ideals in 2000000 cliques
  59. Tue Jan 6 14:16:11 2026 commencing in-memory singleton removal
  60. Tue Jan 6 14:16:18 2026 begin with 425478356 relations and 349507273 unique ideals
  61. Tue Jan 6 14:16:43 2026 reduce to 425240011 relations and 339809796 ideals in 7 passes
  62. Tue Jan 6 14:16:43 2026 max relations containing the same ideal: 199
  63. Tue Jan 6 14:17:57 2026 removing 10245421 relations and 8245421 ideals in 2000000 cliques
  64. Tue Jan 6 14:18:03 2026 commencing in-memory singleton removal
  65. Tue Jan 6 14:18:10 2026 begin with 414994590 relations and 339809796 unique ideals
  66. Tue Jan 6 14:18:38 2026 reduce to 414794115 relations and 331362840 ideals in 8 passes
  67. Tue Jan 6 14:18:38 2026 max relations containing the same ideal: 197
  68. Tue Jan 6 14:19:50 2026 removing 9553667 relations and 7553667 ideals in 2000000 cliques
  69. Tue Jan 6 14:19:55 2026 commencing in-memory singleton removal
  70. Tue Jan 6 14:20:02 2026 begin with 405240448 relations and 331362840 unique ideals
  71. Tue Jan 6 14:20:26 2026 reduce to 405060270 relations and 323628084 ideals in 7 passes
  72. Tue Jan 6 14:20:26 2026 max relations containing the same ideal: 195
  73. Tue Jan 6 14:21:36 2026 removing 9079932 relations and 7079932 ideals in 2000000 cliques
  74. Tue Jan 6 14:21:42 2026 commencing in-memory singleton removal
  75. Tue Jan 6 14:21:48 2026 begin with 395980338 relations and 323628084 unique ideals
  76. Tue Jan 6 14:22:12 2026 reduce to 395811108 relations and 316378096 ideals in 7 passes
  77. Tue Jan 6 14:22:12 2026 max relations containing the same ideal: 194
  78. Tue Jan 6 14:23:21 2026 removing 8730170 relations and 6730170 ideals in 2000000 cliques
  79. Tue Jan 6 14:23:26 2026 commencing in-memory singleton removal
  80. Tue Jan 6 14:23:32 2026 begin with 387080938 relations and 316378096 unique ideals
  81. Tue Jan 6 14:23:52 2026 reduce to 386919609 relations and 309485763 ideals in 6 passes
  82. Tue Jan 6 14:23:52 2026 max relations containing the same ideal: 190
  83. Tue Jan 6 14:25:00 2026 removing 8463733 relations and 6463733 ideals in 2000000 cliques
  84. Tue Jan 6 14:25:05 2026 commencing in-memory singleton removal
  85. Tue Jan 6 14:25:11 2026 begin with 378455876 relations and 309485763 unique ideals
  86. Tue Jan 6 14:25:33 2026 reduce to 378300992 relations and 302866326 ideals in 7 passes
  87. Tue Jan 6 14:25:33 2026 max relations containing the same ideal: 189
  88. Tue Jan 6 14:26:39 2026 removing 8250645 relations and 6250645 ideals in 2000000 cliques
  89. Tue Jan 6 14:26:44 2026 commencing in-memory singleton removal
  90. Tue Jan 6 14:26:50 2026 begin with 370050347 relations and 302866326 unique ideals
  91. Tue Jan 6 14:27:12 2026 reduce to 369900599 relations and 296465122 ideals in 7 passes
  92. Tue Jan 6 14:27:12 2026 max relations containing the same ideal: 189
  93. Tue Jan 6 14:28:17 2026 removing 8079609 relations and 6079609 ideals in 2000000 cliques
  94. Tue Jan 6 14:28:22 2026 commencing in-memory singleton removal
  95. Tue Jan 6 14:28:28 2026 begin with 361820990 relations and 296465122 unique ideals
  96. Tue Jan 6 14:28:49 2026 reduce to 361672867 relations and 290236610 ideals in 7 passes
  97. Tue Jan 6 14:28:49 2026 max relations containing the same ideal: 183
  98. Tue Jan 6 14:29:52 2026 removing 7934569 relations and 5934569 ideals in 2000000 cliques
  99. Tue Jan 6 14:29:57 2026 commencing in-memory singleton removal
  100. Tue Jan 6 14:30:03 2026 begin with 353738298 relations and 290236610 unique ideals
  101. Tue Jan 6 14:30:23 2026 reduce to 353593303 relations and 284156263 ideals in 7 passes
  102. Tue Jan 6 14:30:23 2026 max relations containing the same ideal: 180
  103. Tue Jan 6 14:31:26 2026 removing 7813634 relations and 5813634 ideals in 2000000 cliques
  104. Tue Jan 6 14:31:30 2026 commencing in-memory singleton removal
  105. Tue Jan 6 14:31:36 2026 begin with 345779669 relations and 284156263 unique ideals
  106. Tue Jan 6 14:31:54 2026 reduce to 345634526 relations and 278196719 ideals in 6 passes
  107. Tue Jan 6 14:31:54 2026 max relations containing the same ideal: 178
  108. Tue Jan 6 14:32:55 2026 removing 7709660 relations and 5709660 ideals in 2000000 cliques
  109. Tue Jan 6 14:32:59 2026 commencing in-memory singleton removal
  110. Tue Jan 6 14:33:05 2026 begin with 337924866 relations and 278196719 unique ideals
  111. Tue Jan 6 14:33:22 2026 reduce to 337780950 relations and 272342316 ideals in 6 passes
  112. Tue Jan 6 14:33:22 2026 max relations containing the same ideal: 177
  113. Tue Jan 6 14:34:22 2026 removing 7621308 relations and 5621308 ideals in 2000000 cliques
  114. Tue Jan 6 14:34:27 2026 commencing in-memory singleton removal
  115. Tue Jan 6 14:34:32 2026 begin with 330159642 relations and 272342316 unique ideals
  116. Tue Jan 6 14:34:49 2026 reduce to 330015030 relations and 266575548 ideals in 6 passes
  117. Tue Jan 6 14:34:49 2026 max relations containing the same ideal: 174
  118. Tue Jan 6 14:35:48 2026 removing 7548165 relations and 5548165 ideals in 2000000 cliques
  119. Tue Jan 6 14:35:52 2026 commencing in-memory singleton removal
  120. Tue Jan 6 14:35:57 2026 begin with 322466865 relations and 266575548 unique ideals
  121. Tue Jan 6 14:36:13 2026 reduce to 322322130 relations and 260881804 ideals in 6 passes
  122. Tue Jan 6 14:36:13 2026 max relations containing the same ideal: 173
  123. Tue Jan 6 14:37:10 2026 removing 7483397 relations and 5483397 ideals in 2000000 cliques
  124. Tue Jan 6 14:37:14 2026 commencing in-memory singleton removal
  125. Tue Jan 6 14:37:19 2026 begin with 314838733 relations and 260881804 unique ideals
  126. Tue Jan 6 14:37:35 2026 reduce to 314694306 relations and 255253038 ideals in 6 passes
  127. Tue Jan 6 14:37:35 2026 max relations containing the same ideal: 171
  128. Tue Jan 6 14:38:31 2026 removing 7424771 relations and 5424771 ideals in 2000000 cliques
  129. Tue Jan 6 14:38:36 2026 commencing in-memory singleton removal
  130. Tue Jan 6 14:38:41 2026 begin with 307269535 relations and 255253038 unique ideals
  131. Tue Jan 6 14:38:56 2026 reduce to 307123073 relations and 249680839 ideals in 6 passes
  132. Tue Jan 6 14:38:56 2026 max relations containing the same ideal: 167
  133. Tue Jan 6 14:39:51 2026 removing 7382694 relations and 5382694 ideals in 2000000 cliques
  134. Tue Jan 6 14:39:55 2026 commencing in-memory singleton removal
  135. Tue Jan 6 14:40:00 2026 begin with 299740379 relations and 249680839 unique ideals
  136. Tue Jan 6 14:40:15 2026 reduce to 299593073 relations and 244149835 ideals in 6 passes
  137. Tue Jan 6 14:40:15 2026 max relations containing the same ideal: 165
  138. Tue Jan 6 14:41:09 2026 removing 7339788 relations and 5339788 ideals in 2000000 cliques
  139. Tue Jan 6 14:41:12 2026 commencing in-memory singleton removal
  140. Tue Jan 6 14:41:17 2026 begin with 292253285 relations and 244149835 unique ideals
  141. Tue Jan 6 14:41:32 2026 reduce to 292104838 relations and 238660627 ideals in 6 passes
  142. Tue Jan 6 14:41:32 2026 max relations containing the same ideal: 162
  143. Tue Jan 6 14:42:24 2026 removing 7305256 relations and 5305256 ideals in 2000000 cliques
  144. Tue Jan 6 14:42:28 2026 commencing in-memory singleton removal
  145. Tue Jan 6 14:42:33 2026 begin with 284799582 relations and 238660627 unique ideals
  146. Tue Jan 6 14:42:47 2026 reduce to 284650261 relations and 233204991 ideals in 6 passes
  147. Tue Jan 6 14:42:47 2026 max relations containing the same ideal: 159
  148. Tue Jan 6 14:43:38 2026 removing 7278104 relations and 5278104 ideals in 2000000 cliques
  149. Tue Jan 6 14:43:41 2026 commencing in-memory singleton removal
  150. Tue Jan 6 14:43:46 2026 begin with 277372157 relations and 233204991 unique ideals
  151. Tue Jan 6 14:44:00 2026 reduce to 277219466 relations and 227772979 ideals in 6 passes
  152. Tue Jan 6 14:44:00 2026 max relations containing the same ideal: 157
  153. Tue Jan 6 14:44:50 2026 removing 7252078 relations and 5252078 ideals in 2000000 cliques
  154. Tue Jan 6 14:44:54 2026 commencing in-memory singleton removal
  155. Tue Jan 6 14:44:58 2026 begin with 269967388 relations and 227772979 unique ideals
  156. Tue Jan 6 14:45:12 2026 reduce to 269811657 relations and 222364059 ideals in 6 passes
  157. Tue Jan 6 14:45:12 2026 max relations containing the same ideal: 153
  158. Tue Jan 6 14:46:00 2026 removing 7235842 relations and 5235842 ideals in 2000000 cliques
  159. Tue Jan 6 14:46:03 2026 commencing in-memory singleton removal
  160. Tue Jan 6 14:46:08 2026 begin with 262575815 relations and 222364059 unique ideals
  161. Tue Jan 6 14:46:23 2026 reduce to 262417665 relations and 216968836 ideals in 7 passes
  162. Tue Jan 6 14:46:23 2026 max relations containing the same ideal: 152
  163. Tue Jan 6 14:47:09 2026 removing 7217814 relations and 5217814 ideals in 2000000 cliques
  164. Tue Jan 6 14:47:13 2026 commencing in-memory singleton removal
  165. Tue Jan 6 14:47:17 2026 begin with 255199851 relations and 216968836 unique ideals
  166. Tue Jan 6 14:47:30 2026 reduce to 255039089 relations and 211589014 ideals in 6 passes
  167. Tue Jan 6 14:47:30 2026 max relations containing the same ideal: 148
  168. Tue Jan 6 14:48:14 2026 removing 7207743 relations and 5207743 ideals in 2000000 cliques
  169. Tue Jan 6 14:48:18 2026 commencing in-memory singleton removal
  170. Tue Jan 6 14:48:22 2026 begin with 247831346 relations and 211589014 unique ideals
  171. Tue Jan 6 14:48:34 2026 reduce to 247666043 relations and 206214621 ideals in 6 passes
  172. Tue Jan 6 14:48:34 2026 max relations containing the same ideal: 146
  173. Tue Jan 6 14:49:19 2026 removing 7201910 relations and 5201910 ideals in 2000000 cliques
  174. Tue Jan 6 14:49:22 2026 commencing in-memory singleton removal
  175. Tue Jan 6 14:49:26 2026 begin with 240464133 relations and 206214621 unique ideals
  176. Tue Jan 6 14:49:38 2026 reduce to 240296309 relations and 200843438 ideals in 6 passes
  177. Tue Jan 6 14:49:38 2026 max relations containing the same ideal: 143
  178. Tue Jan 6 14:50:21 2026 removing 7197416 relations and 5197416 ideals in 2000000 cliques
  179. Tue Jan 6 14:50:25 2026 commencing in-memory singleton removal
  180. Tue Jan 6 14:50:28 2026 begin with 233098893 relations and 200843438 unique ideals
  181. Tue Jan 6 14:50:40 2026 reduce to 232926681 relations and 195472380 ideals in 6 passes
  182. Tue Jan 6 14:50:40 2026 max relations containing the same ideal: 137
  183. Tue Jan 6 14:51:21 2026 removing 7201607 relations and 5201607 ideals in 2000000 cliques
  184. Tue Jan 6 14:51:25 2026 commencing in-memory singleton removal
  185. Tue Jan 6 14:51:28 2026 begin with 225725074 relations and 195472380 unique ideals
  186. Tue Jan 6 14:51:39 2026 reduce to 225549113 relations and 190093275 ideals in 6 passes
  187. Tue Jan 6 14:51:39 2026 max relations containing the same ideal: 136
  188. Tue Jan 6 14:52:19 2026 removing 7200410 relations and 5200410 ideals in 2000000 cliques
  189. Tue Jan 6 14:52:23 2026 commencing in-memory singleton removal
  190. Tue Jan 6 14:52:26 2026 begin with 218348703 relations and 190093275 unique ideals
  191. Tue Jan 6 14:52:39 2026 reduce to 218166726 relations and 184709322 ideals in 7 passes
  192. Tue Jan 6 14:52:39 2026 max relations containing the same ideal: 134
  193. Tue Jan 6 14:53:18 2026 removing 7202716 relations and 5202716 ideals in 2000000 cliques
  194. Tue Jan 6 14:53:21 2026 commencing in-memory singleton removal
  195. Tue Jan 6 14:53:24 2026 begin with 210964010 relations and 184709322 unique ideals
  196. Tue Jan 6 14:53:35 2026 reduce to 210777735 relations and 179318632 ideals in 6 passes
  197. Tue Jan 6 14:53:35 2026 max relations containing the same ideal: 131
  198. Tue Jan 6 14:54:13 2026 removing 7214864 relations and 5214864 ideals in 2000000 cliques
  199. Tue Jan 6 14:54:16 2026 commencing in-memory singleton removal
  200. Tue Jan 6 14:54:19 2026 begin with 203562871 relations and 179318632 unique ideals
  201. Tue Jan 6 14:54:29 2026 reduce to 203370141 relations and 173909221 ideals in 6 passes
  202. Tue Jan 6 14:54:29 2026 max relations containing the same ideal: 128
  203. Tue Jan 6 14:55:06 2026 removing 7229993 relations and 5229993 ideals in 2000000 cliques
  204. Tue Jan 6 14:55:09 2026 commencing in-memory singleton removal
  205. Tue Jan 6 14:55:12 2026 begin with 196140148 relations and 173909221 unique ideals
  206. Tue Jan 6 14:55:23 2026 reduce to 195942446 relations and 168479644 ideals in 7 passes
  207. Tue Jan 6 14:55:23 2026 max relations containing the same ideal: 126
  208. Tue Jan 6 14:55:58 2026 removing 7242377 relations and 5242377 ideals in 2000000 cliques
  209. Tue Jan 6 14:56:01 2026 commencing in-memory singleton removal
  210. Tue Jan 6 14:56:04 2026 begin with 188700069 relations and 168479644 unique ideals
  211. Tue Jan 6 14:56:13 2026 reduce to 188493638 relations and 163028671 ideals in 6 passes
  212. Tue Jan 6 14:56:13 2026 max relations containing the same ideal: 122
  213. Tue Jan 6 14:56:48 2026 removing 7261381 relations and 5261381 ideals in 2000000 cliques
  214. Tue Jan 6 14:56:51 2026 commencing in-memory singleton removal
  215. Tue Jan 6 14:56:54 2026 begin with 181232257 relations and 163028671 unique ideals
  216. Tue Jan 6 14:57:04 2026 reduce to 181019849 relations and 157552736 ideals in 7 passes
  217. Tue Jan 6 14:57:04 2026 max relations containing the same ideal: 119
  218. Tue Jan 6 14:57:37 2026 removing 7284619 relations and 5284619 ideals in 2000000 cliques
  219. Tue Jan 6 14:57:40 2026 commencing in-memory singleton removal
  220. Tue Jan 6 14:57:43 2026 begin with 173735230 relations and 157552736 unique ideals
  221. Tue Jan 6 14:57:52 2026 reduce to 173514249 relations and 152044738 ideals in 7 passes
  222. Tue Jan 6 14:57:52 2026 max relations containing the same ideal: 116
  223. Tue Jan 6 14:58:24 2026 removing 7306814 relations and 5306814 ideals in 2000000 cliques
  224. Tue Jan 6 14:58:27 2026 commencing in-memory singleton removal
  225. Tue Jan 6 14:58:30 2026 begin with 166207435 relations and 152044738 unique ideals
  226. Tue Jan 6 14:58:39 2026 reduce to 165978067 relations and 146505944 ideals in 7 passes
  227. Tue Jan 6 14:58:39 2026 max relations containing the same ideal: 114
  228. Tue Jan 6 14:59:09 2026 removing 7332552 relations and 5332552 ideals in 2000000 cliques
  229. Tue Jan 6 14:59:12 2026 commencing in-memory singleton removal
  230. Tue Jan 6 14:59:14 2026 begin with 158645515 relations and 146505944 unique ideals
  231. Tue Jan 6 14:59:24 2026 reduce to 158406210 relations and 140931355 ideals in 7 passes
  232. Tue Jan 6 14:59:24 2026 max relations containing the same ideal: 110
  233. Tue Jan 6 14:59:53 2026 removing 7361621 relations and 5361621 ideals in 2000000 cliques
  234. Tue Jan 6 14:59:56 2026 commencing in-memory singleton removal
  235. Tue Jan 6 14:59:58 2026 begin with 151044589 relations and 140931355 unique ideals
  236. Tue Jan 6 15:00:05 2026 reduce to 150794587 relations and 135316868 ideals in 6 passes
  237. Tue Jan 6 15:00:05 2026 max relations containing the same ideal: 106
  238. Tue Jan 6 15:00:34 2026 removing 7392578 relations and 5392578 ideals in 2000000 cliques
  239. Tue Jan 6 15:00:36 2026 commencing in-memory singleton removal
  240. Tue Jan 6 15:00:38 2026 begin with 143402009 relations and 135316868 unique ideals
  241. Tue Jan 6 15:00:45 2026 reduce to 143137309 relations and 129656434 ideals in 6 passes
  242. Tue Jan 6 15:00:45 2026 max relations containing the same ideal: 102
  243. Tue Jan 6 15:01:12 2026 removing 7430885 relations and 5430885 ideals in 2000000 cliques
  244. Tue Jan 6 15:01:15 2026 commencing in-memory singleton removal
  245. Tue Jan 6 15:01:17 2026 begin with 135706424 relations and 129656434 unique ideals
  246. Tue Jan 6 15:01:23 2026 reduce to 135429291 relations and 123944959 ideals in 6 passes
  247. Tue Jan 6 15:01:23 2026 max relations containing the same ideal: 99
  248. Tue Jan 6 15:01:49 2026 removing 7469902 relations and 5469902 ideals in 2000000 cliques
  249. Tue Jan 6 15:01:51 2026 commencing in-memory singleton removal
  250. Tue Jan 6 15:01:53 2026 begin with 127959389 relations and 123944959 unique ideals
  251. Tue Jan 6 15:02:00 2026 reduce to 127665227 relations and 118177098 ideals in 7 passes
  252. Tue Jan 6 15:02:00 2026 max relations containing the same ideal: 95
  253. Tue Jan 6 15:02:25 2026 removing 7514400 relations and 5514400 ideals in 2000000 cliques
  254. Tue Jan 6 15:02:27 2026 commencing in-memory singleton removal
  255. Tue Jan 6 15:02:29 2026 begin with 120150827 relations and 118177098 unique ideals
  256. Tue Jan 6 15:02:35 2026 reduce to 119836946 relations and 112344477 ideals in 7 passes
  257. Tue Jan 6 15:02:35 2026 max relations containing the same ideal: 91
  258. Tue Jan 6 15:02:59 2026 removing 7567507 relations and 5567507 ideals in 2000000 cliques
  259. Tue Jan 6 15:03:01 2026 commencing in-memory singleton removal
  260. Tue Jan 6 15:03:03 2026 begin with 112269439 relations and 112344477 unique ideals
  261. Tue Jan 6 15:03:09 2026 reduce to 111931232 relations and 106433869 ideals in 7 passes
  262. Tue Jan 6 15:03:09 2026 max relations containing the same ideal: 85
  263. Tue Jan 6 15:03:31 2026 removing 7626296 relations and 5626296 ideals in 2000000 cliques
  264. Tue Jan 6 15:03:33 2026 commencing in-memory singleton removal
  265. Tue Jan 6 15:03:34 2026 begin with 104304936 relations and 106433869 unique ideals
  266. Tue Jan 6 15:03:42 2026 reduce to 103936915 relations and 100433969 ideals in 9 passes
  267. Tue Jan 6 15:03:42 2026 max relations containing the same ideal: 80
  268. Tue Jan 6 15:04:02 2026 removing 3544389 relations and 2769595 ideals in 774794 cliques
  269. Tue Jan 6 15:04:03 2026 commencing in-memory singleton removal
  270. Tue Jan 6 15:04:05 2026 begin with 100392526 relations and 100433969 unique ideals
  271. Tue Jan 6 15:04:10 2026 reduce to 100314437 relations and 97585763 ideals in 7 passes
  272. Tue Jan 6 15:04:10 2026 max relations containing the same ideal: 79
  273. Tue Jan 6 15:04:37 2026 relations with 0 large ideals: 179843
  274. Tue Jan 6 15:04:37 2026 relations with 1 large ideals: 51929
  275. Tue Jan 6 15:04:37 2026 relations with 2 large ideals: 597661
  276. Tue Jan 6 15:04:37 2026 relations with 3 large ideals: 3533326
  277. Tue Jan 6 15:04:37 2026 relations with 4 large ideals: 11352898
  278. Tue Jan 6 15:04:37 2026 relations with 5 large ideals: 21860771
  279. Tue Jan 6 15:04:37 2026 relations with 6 large ideals: 26446932
  280. Tue Jan 6 15:04:37 2026 relations with 7+ large ideals: 36291077
  281. Tue Jan 6 15:04:37 2026 commencing 2-way merge
  282. Tue Jan 6 15:05:08 2026 reduce to 64779173 relation sets and 62050499 unique ideals
  283. Tue Jan 6 15:05:08 2026 commencing full merge
  284. Tue Jan 6 15:21:23 2026 memory use: 8544.9 MB
  285. Tue Jan 6 15:21:28 2026 found 29813674 cycles, need 29570699
  286. Tue Jan 6 15:21:34 2026 weight of 29570699 cycles is about 3549190463 (120.02/cycle)
  287. Tue Jan 6 15:21:34 2026 distribution of cycle lengths:
  288. Tue Jan 6 15:21:34 2026 1 relations: 1484327
  289. Tue Jan 6 15:21:34 2026 2 relations: 1836442
  290. Tue Jan 6 15:21:34 2026 3 relations: 2073262
  291. Tue Jan 6 15:21:34 2026 4 relations: 2135572
  292. Tue Jan 6 15:21:34 2026 5 relations: 2177367
  293. Tue Jan 6 15:21:34 2026 6 relations: 2146245
  294. Tue Jan 6 15:21:34 2026 7 relations: 2107400
  295. Tue Jan 6 15:21:34 2026 8 relations: 2022810
  296. Tue Jan 6 15:21:34 2026 9 relations: 1916618
  297. Tue Jan 6 15:21:34 2026 10+ relations: 11670656
  298. Tue Jan 6 15:21:34 2026 heaviest cycle: 28 relations
  299. Tue Jan 6 15:21:40 2026 commencing cycle optimization
  300. Tue Jan 6 15:22:22 2026 start with 256628461 relations
  301. Tue Jan 6 15:28:43 2026 pruned 10661343 relations
  302. Tue Jan 6 15:28:43 2026 memory use: 6807.7 MB
  303. Tue Jan 6 15:28:43 2026 distribution of cycle lengths:
  304. Tue Jan 6 15:28:43 2026 1 relations: 1484327
  305. Tue Jan 6 15:28:43 2026 2 relations: 1875009
  306. Tue Jan 6 15:28:43 2026 3 relations: 2153063
  307. Tue Jan 6 15:28:43 2026 4 relations: 2217627
  308. Tue Jan 6 15:28:43 2026 5 relations: 2277870
  309. Tue Jan 6 15:28:43 2026 6 relations: 2241108
  310. Tue Jan 6 15:28:43 2026 7 relations: 2208994
  311. Tue Jan 6 15:28:43 2026 8 relations: 2113204
  312. Tue Jan 6 15:28:43 2026 9 relations: 2002226
  313. Tue Jan 6 15:28:43 2026 10+ relations: 10997271
  314. Tue Jan 6 15:28:43 2026 heaviest cycle: 28 relations
  315. Tue Jan 6 15:29:18 2026 RelProcTime: 6588
  316. Tue Jan 6 15:29:18 2026 elapsed time 01:49:48
  317. Wed Jan 7 23:05:35 2026
  318. Wed Jan 7 23:05:35 2026
  319. Wed Jan 7 23:05:35 2026 Msieve v. 1.54 (SVN 573b9ef)
  320. Wed Jan 7 23:05:35 2026 random seeds: 2a729779 96101308
  321. Wed Jan 7 23:05:35 2026 MPI process 0 of 2
  322. Wed Jan 7 23:05:35 2026 Using 8 OpenMP threads
  323. Wed Jan 7 23:05:35 2026 factoring 3771362456355181751667965279024746753562207273361466906825993485873229485653947705414426471220510643063407060298236647885669005659423698483489717540581469756896827106937915414942234153588949336561505051210826115440284311 (220 digits)
  324. Wed Jan 7 23:05:35 2026 no P-1/P+1/ECM available, skipping
  325. Wed Jan 7 23:05:35 2026 commencing number field sieve (220-digit input)
  326. Wed Jan 7 23:05:35 2026 R0: 102221194389905859962894078900730367375382128682
  327. Wed Jan 7 23:05:35 2026 R1: -319720494166241804842291
  328. Wed Jan 7 23:05:35 2026 A0: -1
  329. Wed Jan 7 23:05:35 2026 A1: 3
  330. Wed Jan 7 23:05:35 2026 A2: 6
  331. Wed Jan 7 23:05:35 2026 A3: -4
  332. Wed Jan 7 23:05:35 2026 A4: -5
  333. Wed Jan 7 23:05:35 2026 A5: 1
  334. Wed Jan 7 23:05:35 2026 A6: 1
  335. Wed Jan 7 23:05:35 2026 skew 1.39, size 8.346e-14, alpha 3.126, combined = 1.700e-14 rroots = 6
  336. Wed Jan 7 23:05:35 2026
  337. Wed Jan 7 23:05:35 2026 commencing linear algebra
  338. Wed Jan 7 23:05:35 2026 using VBITS=256
  339. Wed Jan 7 23:05:35 2026 initialized process (0,0) of 1 x 2 grid
  340. Wed Jan 7 23:05:40 2026 read 29570699 cycles
  341. Wed Jan 7 23:08:52 2026 cycles contain 98986760 unique relations
  342. Wed Jan 7 23:13:00 2026 read 98986760 relations
  343. Wed Jan 7 23:14:54 2026 using 20 quadratic characters above 4294917295
  344. Wed Jan 7 23:15:26 2026 building initial matrix
  345. Wed Jan 7 23:32:28 2026 memory use: 12445.3 MB
  346. Wed Jan 7 23:32:42 2026 read 29570699 cycles
  347. Wed Jan 7 23:32:45 2026 matrix is 29570522 x 29570699 (13873.1 MB) with weight 3907782575 (132.15/col)
  348. Wed Jan 7 23:32:45 2026 sparse part has weight 3341052793 (112.99/col)
  349. Wed Jan 7 23:35:43 2026 filtering completed in 2 passes
  350. Wed Jan 7 23:35:47 2026 matrix is 29569606 x 29569768 (13873.1 MB) with weight 3907752707 (132.15/col)
  351. Wed Jan 7 23:35:47 2026 sparse part has weight 3341040614 (112.99/col)
  352. Wed Jan 7 23:36:32 2026 matrix starts at (0, 0)
  353. Wed Jan 7 23:36:33 2026 matrix is 29569606 x 14784891 (6936.5 MB) with weight 1953870178 (132.15/col)
  354. Wed Jan 7 23:36:33 2026 sparse part has weight 1670520468 (112.99/col)
  355. Wed Jan 7 23:36:33 2026 saving the first 240 matrix rows for later
  356. Wed Jan 7 23:36:35 2026 matrix includes 256 packed rows
  357. Wed Jan 7 23:36:41 2026 matrix is 29569366 x 14784891 (6473.7 MB) with weight 1530200081 (103.50/col)
  358. Wed Jan 7 23:36:41 2026 sparse part has weight 1460494619 (98.78/col)
  359. Wed Jan 7 23:36:41 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  360. Wed Jan 7 23:36:41 2026 selected card has CUDA arch 8.6
  361. Wed Jan 7 23:38:17 2026 commencing Lanczos iteration
  362. Wed Jan 7 23:38:19 2026 memory use: 16275.1 MB
  363. Wed Jan 7 23:39:41 2026 linear algebra at 0.1%, ETA 17h 8m
  364. Wed Jan 7 23:41:18 2026 checking every 20000 dimensions, checkpointing every 1720000 dimensions
  365. Thu Jan 8 16:53:32 2026 lanczos halted after 115852 iterations (dim = 29569366)
  366. Thu Jan 8 16:59:51 2026 recovered 36 nontrivial dependencies
  367. Thu Jan 8 16:59:52 2026 BLanczosTime: 64457
  368. Thu Jan 8 16:59:52 2026 elapsed time 17:54:17
  369. Thu Jan 8 19:30:22 2026
  370. Thu Jan 8 19:30:22 2026
  371. Thu Jan 8 19:30:22 2026 Msieve v. 1.54 (SVN 573b9ef)
  372. Thu Jan 8 19:30:22 2026 random seeds: 4e120791 0f43c15c
  373. Thu Jan 8 19:30:22 2026 Using 32 OpenMP threads
  374. Thu Jan 8 19:30:22 2026 factoring 3771362456355181751667965279024746753562207273361466906825993485873229485653947705414426471220510643063407060298236647885669005659423698483489717540581469756896827106937915414942234153588949336561505051210826115440284311 (220 digits)
  375. Thu Jan 8 19:30:23 2026 no P-1/P+1/ECM available, skipping
  376. Thu Jan 8 19:30:23 2026 commencing number field sieve (220-digit input)
  377. Thu Jan 8 19:30:23 2026 R0: 102221194389905859962894078900730367375382128682
  378. Thu Jan 8 19:30:23 2026 R1: -319720494166241804842291
  379. Thu Jan 8 19:30:23 2026 A0: -1
  380. Thu Jan 8 19:30:23 2026 A1: 3
  381. Thu Jan 8 19:30:23 2026 A2: 6
  382. Thu Jan 8 19:30:23 2026 A3: -4
  383. Thu Jan 8 19:30:23 2026 A4: -5
  384. Thu Jan 8 19:30:23 2026 A5: 1
  385. Thu Jan 8 19:30:23 2026 A6: 1
  386. Thu Jan 8 19:30:23 2026 skew 1.39, size 8.346e-14, alpha 3.126, combined = 1.700e-14 rroots = 6
  387. Thu Jan 8 19:30:23 2026
  388. Thu Jan 8 19:30:23 2026 commencing square root phase
  389. Thu Jan 8 19:30:23 2026 reading relations for dependency 1
  390. Thu Jan 8 19:30:26 2026 read 14781948 cycles
  391. Thu Jan 8 19:31:57 2026 cycles contain 49479548 unique relations
  392. Thu Jan 8 19:34:27 2026 read 49479548 relations
  393. Thu Jan 8 19:45:43 2026 multiplying 49479548 relations
  394. Thu Jan 8 19:52:38 2026 multiply complete, coefficients have about 1321.59 million bits
  395. Thu Jan 8 19:52:45 2026 initial square root is modulo 847853
  396. Thu Jan 8 20:09:59 2026 GCD is N, no factor found
  397. Thu Jan 8 20:09:59 2026 reading relations for dependency 2
  398. Thu Jan 8 20:10:04 2026 read 14780306 cycles
  399. Thu Jan 8 20:12:05 2026 cycles contain 49476990 unique relations
  400. Thu Jan 8 20:14:44 2026 read 49476990 relations
  401. Thu Jan 8 20:27:27 2026 multiplying 49476990 relations
  402. Thu Jan 8 20:34:03 2026 multiply complete, coefficients have about 1321.54 million bits
  403. Thu Jan 8 20:34:10 2026 initial square root is modulo 847477
  404. Thu Jan 8 20:51:08 2026 sqrtTime: 4845
  405. Thu Jan 8 20:51:08 2026 p101 factor: 75222845512006430832200929523659226232491383079480878601430357873402473137903044362038207026439020119
  406. Thu Jan 8 20:51:08 2026 p119 factor: 50135865383518746997256445382368924567835184511109971610765001457361435976702824672069756699092793246649889238221931969
  407. Thu Jan 8 20:51:08 2026 elapsed time 01:20:46
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