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  1. Fri Jan 23 10:30:56 2026
  2. Fri Jan 23 10:30:56 2026
  3. Fri Jan 23 10:30:56 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jan 23 10:30:56 2026 random seeds: e2cafaa6 ddc271ee
  5. Fri Jan 23 10:30:56 2026 MPI process 0 of 1
  6. Fri Jan 23 10:30:56 2026 Using 46 OpenMP threads
  7. Fri Jan 23 10:30:56 2026 factoring 105775914947023378931893642231702226465883813690412740789394377716819699830897409306933364027787269198607785123637957955849826082894543847078624422656548412424596404194786903174205227552447680348686242685585538540516727966438539379129388297906522942975763145157594923388609547195407659987701142747223562017454064827464569 (321 digits)
  8. Fri Jan 23 10:30:57 2026 no P-1/P+1/ECM available, skipping
  9. Fri Jan 23 10:30:57 2026 commencing number field sieve (321-digit input)
  10. Fri Jan 23 10:30:57 2026 R0: -106387358923716524807713475752456393740167855629859291136
  11. Fri Jan 23 10:30:57 2026 R1: 1
  12. Fri Jan 23 10:30:57 2026 A0: -6
  13. Fri Jan 23 10:30:57 2026 A1: 0
  14. Fri Jan 23 10:30:57 2026 A2: 0
  15. Fri Jan 23 10:30:57 2026 A3: 0
  16. Fri Jan 23 10:30:57 2026 A4: 0
  17. Fri Jan 23 10:30:57 2026 A5: 0
  18. Fri Jan 23 10:30:57 2026 A6: 1
  19. Fri Jan 23 10:30:57 2026 skew 1.79, size 2.043e-16, alpha 1.872, combined = 1.443e-16 rroots = 2
  20. Fri Jan 23 10:30:57 2026
  21. Fri Jan 23 10:30:57 2026 commencing relation filtering
  22. Fri Jan 23 10:30:57 2026 setting target matrix density to 110.0
  23. Fri Jan 23 10:30:57 2026 estimated available RAM is 773418.9 MB
  24. Fri Jan 23 10:30:57 2026 commencing duplicate removal, pass 1
  25. Fri Jan 23 11:04:19 2026 skipped 4591761 relations with b > 2^32
  26. Fri Jan 23 11:04:19 2026 skipped 1 relations with composite factors
  27. Fri Jan 23 11:04:19 2026 skipped 8791 malformed relations
  28. Fri Jan 23 11:04:19 2026 found 137523525 hash collisions in 3168974404 relations
  29. Fri Jan 23 11:04:27 2026 commencing duplicate removal, pass 2
  30. Fri Jan 23 11:17:47 2026 found 0 duplicates and 3168974404 unique relations
  31. Fri Jan 23 11:17:47 2026 memory use: 8870.0 MB
  32. Fri Jan 23 11:17:48 2026 reading ideals above 1959460864
  33. Fri Jan 23 11:17:48 2026 commencing singleton removal, initial pass
  34. Fri Jan 23 14:00:16 2026 memory use: 66560.0 MB
  35. Fri Jan 23 14:00:17 2026 reading all ideals from disk
  36. Fri Jan 23 14:00:50 2026 memory use: 86262.2 MB
  37. Fri Jan 23 14:02:36 2026 commencing in-memory singleton removal
  38. Fri Jan 23 14:02:50 2026 begin with 3168974404 relations and 3114760774 unique ideals
  39. Fri Jan 23 14:04:40 2026 reduce to 1443953555 relations and 1132249111 ideals in 24 passes
  40. Fri Jan 23 14:04:40 2026 max relations containing the same ideal: 36
  41. Fri Jan 23 14:05:19 2026 reading ideals above 720000
  42. Fri Jan 23 14:05:19 2026 commencing singleton removal, initial pass
  43. Fri Jan 23 15:59:18 2026 memory use: 41024.0 MB
  44. Fri Jan 23 15:59:19 2026 reading all ideals from disk
  45. Fri Jan 23 16:00:02 2026 memory use: 80759.3 MB
  46. Fri Jan 23 16:03:17 2026 keeping 1316344504 ideals with weight <= 200, target excess is 8507535
  47. Fri Jan 23 16:07:47 2026 commencing in-memory singleton removal
  48. Fri Jan 23 16:08:03 2026 begin with 1443953555 relations and 1316344504 unique ideals
  49. Fri Jan 23 16:10:05 2026 reduce to 1443286285 relations and 1315677183 ideals in 20 passes
  50. Fri Jan 23 16:10:05 2026 max relations containing the same ideal: 200
  51. Fri Jan 23 16:17:24 2026 removing 34288332 relations and 32288332 ideals in 2000000 cliques
  52. Fri Jan 23 16:18:03 2026 commencing in-memory singleton removal
  53. Fri Jan 23 16:18:10 2026 begin with 1408997953 relations and 1315677183 unique ideals
  54. Fri Jan 23 16:18:57 2026 reduce to 1408280188 relations and 1282669090 ideals in 11 passes
  55. Fri Jan 23 16:18:57 2026 max relations containing the same ideal: 200
  56. Fri Jan 23 16:25:46 2026 removing 24803822 relations and 22803822 ideals in 2000000 cliques
  57. Fri Jan 23 16:26:17 2026 commencing in-memory singleton removal
  58. Fri Jan 23 16:26:24 2026 begin with 1383476366 relations and 1282669090 unique ideals
  59. Fri Jan 23 16:27:09 2026 reduce to 1383083312 relations and 1259471339 ideals in 11 passes
  60. Fri Jan 23 16:27:09 2026 max relations containing the same ideal: 200
  61. Fri Jan 23 16:33:30 2026 removing 21741997 relations and 19741997 ideals in 2000000 cliques
  62. Fri Jan 23 16:34:01 2026 commencing in-memory singleton removal
  63. Fri Jan 23 16:34:09 2026 begin with 1361341315 relations and 1259471339 unique ideals
  64. Fri Jan 23 16:34:49 2026 reduce to 1361034389 relations and 1239421760 ideals in 9 passes
  65. Fri Jan 23 16:34:49 2026 max relations containing the same ideal: 199
  66. Fri Jan 23 16:40:55 2026 removing 19947263 relations and 17947263 ideals in 2000000 cliques
  67. Fri Jan 23 16:41:25 2026 commencing in-memory singleton removal
  68. Fri Jan 23 16:41:31 2026 begin with 1341087126 relations and 1239421760 unique ideals
  69. Fri Jan 23 16:42:17 2026 reduce to 1340823768 relations and 1221210620 ideals in 12 passes
  70. Fri Jan 23 16:42:17 2026 max relations containing the same ideal: 198
  71. Fri Jan 23 16:48:20 2026 removing 18711002 relations and 16711002 ideals in 2000000 cliques
  72. Fri Jan 23 16:48:49 2026 commencing in-memory singleton removal
  73. Fri Jan 23 16:48:56 2026 begin with 1322112766 relations and 1221210620 unique ideals
  74. Fri Jan 23 16:49:33 2026 reduce to 1321880532 relations and 1204266926 ideals in 9 passes
  75. Fri Jan 23 16:49:33 2026 max relations containing the same ideal: 197
  76. Fri Jan 23 16:55:30 2026 removing 17776089 relations and 15776089 ideals in 2000000 cliques
  77. Fri Jan 23 16:55:59 2026 commencing in-memory singleton removal
  78. Fri Jan 23 16:56:06 2026 begin with 1304104443 relations and 1204266926 unique ideals
  79. Fri Jan 23 16:56:43 2026 reduce to 1303890457 relations and 1188276466 ideals in 9 passes
  80. Fri Jan 23 16:56:43 2026 max relations containing the same ideal: 195
  81. Fri Jan 23 17:02:38 2026 removing 17037978 relations and 15037978 ideals in 2000000 cliques
  82. Fri Jan 23 17:03:06 2026 commencing in-memory singleton removal
  83. Fri Jan 23 17:03:13 2026 begin with 1286852479 relations and 1188276466 unique ideals
  84. Fri Jan 23 17:03:50 2026 reduce to 1286654708 relations and 1173040385 ideals in 10 passes
  85. Fri Jan 23 17:03:50 2026 max relations containing the same ideal: 194
  86. Fri Jan 23 17:09:38 2026 removing 16426113 relations and 14426113 ideals in 2000000 cliques
  87. Fri Jan 23 17:10:06 2026 commencing in-memory singleton removal
  88. Fri Jan 23 17:10:12 2026 begin with 1270228595 relations and 1173040385 unique ideals
  89. Fri Jan 23 17:10:53 2026 reduce to 1270044985 relations and 1158430360 ideals in 11 passes
  90. Fri Jan 23 17:10:53 2026 max relations containing the same ideal: 194
  91. Fri Jan 23 17:16:44 2026 removing 15909546 relations and 13909546 ideals in 2000000 cliques
  92. Fri Jan 23 17:17:11 2026 commencing in-memory singleton removal
  93. Fri Jan 23 17:17:17 2026 begin with 1254135439 relations and 1158430360 unique ideals
  94. Fri Jan 23 17:17:52 2026 reduce to 1253961108 relations and 1144346210 ideals in 9 passes
  95. Fri Jan 23 17:17:52 2026 max relations containing the same ideal: 192
  96. Fri Jan 23 17:23:32 2026 removing 15473685 relations and 13473685 ideals in 2000000 cliques
  97. Fri Jan 23 17:24:00 2026 commencing in-memory singleton removal
  98. Fri Jan 23 17:24:06 2026 begin with 1238487423 relations and 1144346210 unique ideals
  99. Fri Jan 23 17:24:38 2026 reduce to 1238320305 relations and 1130705112 ideals in 8 passes
  100. Fri Jan 23 17:24:38 2026 max relations containing the same ideal: 191
  101. Fri Jan 23 17:30:12 2026 removing 15088091 relations and 13088091 ideals in 2000000 cliques
  102. Fri Jan 23 17:30:38 2026 commencing in-memory singleton removal
  103. Fri Jan 23 17:30:44 2026 begin with 1223232214 relations and 1130705112 unique ideals
  104. Fri Jan 23 17:31:19 2026 reduce to 1223073116 relations and 1117457642 ideals in 9 passes
  105. Fri Jan 23 17:31:19 2026 max relations containing the same ideal: 189
  106. Fri Jan 23 17:36:52 2026 removing 14753724 relations and 12753724 ideals in 2000000 cliques
  107. Fri Jan 23 17:37:18 2026 commencing in-memory singleton removal
  108. Fri Jan 23 17:37:25 2026 begin with 1208319392 relations and 1117457642 unique ideals
  109. Fri Jan 23 17:37:56 2026 reduce to 1208164039 relations and 1104548297 ideals in 8 passes
  110. Fri Jan 23 17:37:56 2026 max relations containing the same ideal: 188
  111. Fri Jan 23 17:43:17 2026 removing 14453795 relations and 12453795 ideals in 2000000 cliques
  112. Fri Jan 23 17:43:43 2026 commencing in-memory singleton removal
  113. Fri Jan 23 17:43:49 2026 begin with 1193710244 relations and 1104548297 unique ideals
  114. Fri Jan 23 17:44:17 2026 reduce to 1193561300 relations and 1091945291 ideals in 7 passes
  115. Fri Jan 23 17:44:17 2026 max relations containing the same ideal: 187
  116. Fri Jan 23 17:49:38 2026 removing 14184180 relations and 12184180 ideals in 2000000 cliques
  117. Fri Jan 23 17:50:03 2026 commencing in-memory singleton removal
  118. Fri Jan 23 17:50:09 2026 begin with 1179377120 relations and 1091945291 unique ideals
  119. Fri Jan 23 17:50:40 2026 reduce to 1179231601 relations and 1079615334 ideals in 8 passes
  120. Fri Jan 23 17:50:40 2026 max relations containing the same ideal: 185
  121. Fri Jan 23 17:55:48 2026 removing 13935398 relations and 11935398 ideals in 2000000 cliques
  122. Fri Jan 23 17:56:14 2026 commencing in-memory singleton removal
  123. Fri Jan 23 17:56:20 2026 begin with 1165296203 relations and 1079615334 unique ideals
  124. Fri Jan 23 17:56:49 2026 reduce to 1165154591 relations and 1067538084 ideals in 8 passes
  125. Fri Jan 23 17:56:49 2026 max relations containing the same ideal: 184
  126. Fri Jan 23 18:01:57 2026 removing 13714092 relations and 11714092 ideals in 2000000 cliques
  127. Fri Jan 23 18:02:22 2026 commencing in-memory singleton removal
  128. Fri Jan 23 18:02:27 2026 begin with 1151440499 relations and 1067538084 unique ideals
  129. Fri Jan 23 18:03:02 2026 reduce to 1151302800 relations and 1055686041 ideals in 10 passes
  130. Fri Jan 23 18:03:02 2026 max relations containing the same ideal: 183
  131. Fri Jan 23 18:08:02 2026 removing 13506016 relations and 11506016 ideals in 2000000 cliques
  132. Fri Jan 23 18:08:26 2026 commencing in-memory singleton removal
  133. Fri Jan 23 18:08:32 2026 begin with 1137796784 relations and 1055686041 unique ideals
  134. Fri Jan 23 18:08:58 2026 reduce to 1137660331 relations and 1044043329 ideals in 7 passes
  135. Fri Jan 23 18:08:58 2026 max relations containing the same ideal: 182
  136. Fri Jan 23 18:13:55 2026 removing 13324755 relations and 11324755 ideals in 2000000 cliques
  137. Fri Jan 23 18:14:20 2026 commencing in-memory singleton removal
  138. Fri Jan 23 18:14:26 2026 begin with 1124335576 relations and 1044043329 unique ideals
  139. Fri Jan 23 18:14:52 2026 reduce to 1124202183 relations and 1032584924 ideals in 7 passes
  140. Fri Jan 23 18:14:52 2026 max relations containing the same ideal: 180
  141. Fri Jan 23 18:19:56 2026 removing 13144795 relations and 11144795 ideals in 2000000 cliques
  142. Fri Jan 23 18:20:19 2026 commencing in-memory singleton removal
  143. Fri Jan 23 18:20:25 2026 begin with 1111057388 relations and 1032584924 unique ideals
  144. Fri Jan 23 18:20:50 2026 reduce to 1110926191 relations and 1021308725 ideals in 7 passes
  145. Fri Jan 23 18:20:50 2026 max relations containing the same ideal: 178
  146. Fri Jan 23 18:25:39 2026 removing 12987784 relations and 10987784 ideals in 2000000 cliques
  147. Fri Jan 23 18:26:04 2026 commencing in-memory singleton removal
  148. Fri Jan 23 18:26:09 2026 begin with 1097938407 relations and 1021308725 unique ideals
  149. Fri Jan 23 18:26:33 2026 reduce to 1097810250 relations and 1010192543 ideals in 7 passes
  150. Fri Jan 23 18:26:33 2026 max relations containing the same ideal: 177
  151. Fri Jan 23 18:31:30 2026 removing 12831827 relations and 10831827 ideals in 2000000 cliques
  152. Fri Jan 23 18:31:53 2026 commencing in-memory singleton removal
  153. Fri Jan 23 18:31:59 2026 begin with 1084978423 relations and 1010192543 unique ideals
  154. Fri Jan 23 18:32:23 2026 reduce to 1084849251 relations and 999231307 ideals in 7 passes
  155. Fri Jan 23 18:32:23 2026 max relations containing the same ideal: 177
  156. Fri Jan 23 18:37:11 2026 removing 12694066 relations and 10694066 ideals in 2000000 cliques
  157. Fri Jan 23 18:37:34 2026 commencing in-memory singleton removal
  158. Fri Jan 23 18:37:39 2026 begin with 1072155185 relations and 999231307 unique ideals
  159. Fri Jan 23 18:38:03 2026 reduce to 1072029894 relations and 988411699 ideals in 7 passes
  160. Fri Jan 23 18:38:03 2026 max relations containing the same ideal: 175
  161. Fri Jan 23 18:42:40 2026 removing 12560552 relations and 10560552 ideals in 2000000 cliques
  162. Fri Jan 23 18:43:04 2026 commencing in-memory singleton removal
  163. Fri Jan 23 18:43:09 2026 begin with 1059469342 relations and 988411699 unique ideals
  164. Fri Jan 23 18:43:34 2026 reduce to 1059344412 relations and 977725968 ideals in 7 passes
  165. Fri Jan 23 18:43:34 2026 max relations containing the same ideal: 175
  166. Fri Jan 23 18:48:20 2026 removing 12445107 relations and 10445107 ideals in 2000000 cliques
  167. Fri Jan 23 18:48:43 2026 commencing in-memory singleton removal
  168. Fri Jan 23 18:48:48 2026 begin with 1046899305 relations and 977725968 unique ideals
  169. Fri Jan 23 18:49:12 2026 reduce to 1046776646 relations and 967157969 ideals in 7 passes
  170. Fri Jan 23 18:49:12 2026 max relations containing the same ideal: 174
  171. Fri Jan 23 18:53:52 2026 removing 12323802 relations and 10323802 ideals in 2000000 cliques
  172. Fri Jan 23 18:54:14 2026 commencing in-memory singleton removal
  173. Fri Jan 23 18:54:19 2026 begin with 1034452844 relations and 967157969 unique ideals
  174. Fri Jan 23 18:54:45 2026 reduce to 1034330388 relations and 956711485 ideals in 7 passes
  175. Fri Jan 23 18:54:45 2026 max relations containing the same ideal: 172
  176. Fri Jan 23 18:59:13 2026 removing 12213416 relations and 10213416 ideals in 2000000 cliques
  177. Fri Jan 23 18:59:35 2026 commencing in-memory singleton removal
  178. Fri Jan 23 18:59:40 2026 begin with 1022116972 relations and 956711485 unique ideals
  179. Fri Jan 23 19:00:04 2026 reduce to 1021996036 relations and 946376930 ideals in 7 passes
  180. Fri Jan 23 19:00:04 2026 max relations containing the same ideal: 172
  181. Fri Jan 23 19:04:35 2026 removing 12110175 relations and 10110175 ideals in 2000000 cliques
  182. Fri Jan 23 19:04:57 2026 commencing in-memory singleton removal
  183. Fri Jan 23 19:05:02 2026 begin with 1009885861 relations and 946376930 unique ideals
  184. Fri Jan 23 19:05:27 2026 reduce to 1009764850 relations and 936145489 ideals in 7 passes
  185. Fri Jan 23 19:05:27 2026 max relations containing the same ideal: 170
  186. Fri Jan 23 19:09:51 2026 removing 12015785 relations and 10015785 ideals in 2000000 cliques
  187. Fri Jan 23 19:10:12 2026 commencing in-memory singleton removal
  188. Fri Jan 23 19:10:17 2026 begin with 997749065 relations and 936145489 unique ideals
  189. Fri Jan 23 19:10:41 2026 reduce to 997629275 relations and 926009667 ideals in 7 passes
  190. Fri Jan 23 19:10:41 2026 max relations containing the same ideal: 170
  191. Fri Jan 23 19:15:12 2026 removing 11920731 relations and 9920731 ideals in 2000000 cliques
  192. Fri Jan 23 19:15:33 2026 commencing in-memory singleton removal
  193. Fri Jan 23 19:15:38 2026 begin with 985708544 relations and 926009667 unique ideals
  194. Fri Jan 23 19:16:02 2026 reduce to 985588091 relations and 915968234 ideals in 7 passes
  195. Fri Jan 23 19:16:02 2026 max relations containing the same ideal: 170
  196. Fri Jan 23 19:20:21 2026 removing 11840324 relations and 9840324 ideals in 2000000 cliques
  197. Fri Jan 23 19:20:41 2026 commencing in-memory singleton removal
  198. Fri Jan 23 19:20:46 2026 begin with 973747767 relations and 915968234 unique ideals
  199. Fri Jan 23 19:21:10 2026 reduce to 973628911 relations and 906008788 ideals in 7 passes
  200. Fri Jan 23 19:21:10 2026 max relations containing the same ideal: 168
  201. Fri Jan 23 19:25:32 2026 removing 11760730 relations and 9760730 ideals in 2000000 cliques
  202. Fri Jan 23 19:25:53 2026 commencing in-memory singleton removal
  203. Fri Jan 23 19:25:58 2026 begin with 961868181 relations and 906008788 unique ideals
  204. Fri Jan 23 19:26:22 2026 reduce to 961749636 relations and 896129284 ideals in 7 passes
  205. Fri Jan 23 19:26:22 2026 max relations containing the same ideal: 166
  206. Fri Jan 23 19:30:36 2026 removing 11678968 relations and 9678968 ideals in 2000000 cliques
  207. Fri Jan 23 19:30:56 2026 commencing in-memory singleton removal
  208. Fri Jan 23 19:31:01 2026 begin with 950070668 relations and 896129284 unique ideals
  209. Fri Jan 23 19:31:24 2026 reduce to 949951903 relations and 886331340 ideals in 7 passes
  210. Fri Jan 23 19:31:24 2026 max relations containing the same ideal: 165
  211. Fri Jan 23 19:35:40 2026 removing 11603809 relations and 9603809 ideals in 2000000 cliques
  212. Fri Jan 23 19:36:00 2026 commencing in-memory singleton removal
  213. Fri Jan 23 19:36:05 2026 begin with 938348094 relations and 886331340 unique ideals
  214. Fri Jan 23 19:36:28 2026 reduce to 938229961 relations and 876609161 ideals in 7 passes
  215. Fri Jan 23 19:36:28 2026 max relations containing the same ideal: 163
  216. Fri Jan 23 19:40:31 2026 removing 11536303 relations and 9536303 ideals in 2000000 cliques
  217. Fri Jan 23 19:40:51 2026 commencing in-memory singleton removal
  218. Fri Jan 23 19:40:56 2026 begin with 926693658 relations and 876609161 unique ideals
  219. Fri Jan 23 19:41:19 2026 reduce to 926575044 relations and 866954018 ideals in 8 passes
  220. Fri Jan 23 19:41:19 2026 max relations containing the same ideal: 161
  221. Fri Jan 23 19:45:30 2026 removing 11470317 relations and 9470317 ideals in 2000000 cliques
  222. Fri Jan 23 19:45:50 2026 commencing in-memory singleton removal
  223. Fri Jan 23 19:45:55 2026 begin with 915104727 relations and 866954018 unique ideals
  224. Fri Jan 23 19:46:16 2026 reduce to 914987365 relations and 857366094 ideals in 7 passes
  225. Fri Jan 23 19:46:16 2026 max relations containing the same ideal: 161
  226. Fri Jan 23 19:50:24 2026 removing 11407116 relations and 9407116 ideals in 2000000 cliques
  227. Fri Jan 23 19:50:47 2026 commencing in-memory singleton removal
  228. Fri Jan 23 19:50:51 2026 begin with 903580249 relations and 857366094 unique ideals
  229. Fri Jan 23 19:51:12 2026 reduce to 903461939 relations and 847840438 ideals in 7 passes
  230. Fri Jan 23 19:51:12 2026 max relations containing the same ideal: 160
  231. Fri Jan 23 19:55:28 2026 removing 11349553 relations and 9349553 ideals in 2000000 cliques
  232. Fri Jan 23 19:55:48 2026 commencing in-memory singleton removal
  233. Fri Jan 23 19:55:53 2026 begin with 892112386 relations and 847840438 unique ideals
  234. Fri Jan 23 19:56:15 2026 reduce to 891994612 relations and 838372834 ideals in 8 passes
  235. Fri Jan 23 19:56:15 2026 max relations containing the same ideal: 159
  236. Fri Jan 23 20:00:22 2026 removing 11296489 relations and 9296489 ideals in 2000000 cliques
  237. Fri Jan 23 20:00:43 2026 commencing in-memory singleton removal
  238. Fri Jan 23 20:00:47 2026 begin with 880698123 relations and 838372834 unique ideals
  239. Fri Jan 23 20:01:08 2026 reduce to 880578793 relations and 828956751 ideals in 7 passes
  240. Fri Jan 23 20:01:08 2026 max relations containing the same ideal: 158
  241. Fri Jan 23 20:05:08 2026 removing 11237758 relations and 9237758 ideals in 2000000 cliques
  242. Fri Jan 23 20:05:29 2026 commencing in-memory singleton removal
  243. Fri Jan 23 20:05:33 2026 begin with 869341035 relations and 828956751 unique ideals
  244. Fri Jan 23 20:05:54 2026 reduce to 869221863 relations and 819599535 ideals in 7 passes
  245. Fri Jan 23 20:05:54 2026 max relations containing the same ideal: 158
  246. Fri Jan 23 20:09:47 2026 removing 11184650 relations and 9184650 ideals in 2000000 cliques
  247. Fri Jan 23 20:10:05 2026 commencing in-memory singleton removal
  248. Fri Jan 23 20:10:09 2026 begin with 858037213 relations and 819599535 unique ideals
  249. Fri Jan 23 20:10:30 2026 reduce to 857916904 relations and 810294314 ideals in 7 passes
  250. Fri Jan 23 20:10:30 2026 max relations containing the same ideal: 155
  251. Fri Jan 23 20:14:00 2026 removing 11137385 relations and 9137385 ideals in 2000000 cliques
  252. Fri Jan 23 20:14:20 2026 commencing in-memory singleton removal
  253. Fri Jan 23 20:14:24 2026 begin with 846779519 relations and 810294314 unique ideals
  254. Fri Jan 23 20:14:44 2026 reduce to 846658965 relations and 801036111 ideals in 7 passes
  255. Fri Jan 23 20:14:44 2026 max relations containing the same ideal: 155
  256. Fri Jan 23 20:18:13 2026 removing 11093973 relations and 9093973 ideals in 2000000 cliques
  257. Fri Jan 23 20:18:31 2026 commencing in-memory singleton removal
  258. Fri Jan 23 20:18:35 2026 begin with 835564992 relations and 801036111 unique ideals
  259. Fri Jan 23 20:18:54 2026 reduce to 835444095 relations and 791820935 ideals in 7 passes
  260. Fri Jan 23 20:18:54 2026 max relations containing the same ideal: 154
  261. Fri Jan 23 20:22:21 2026 removing 11047393 relations and 9047393 ideals in 2000000 cliques
  262. Fri Jan 23 20:22:40 2026 commencing in-memory singleton removal
  263. Fri Jan 23 20:22:44 2026 begin with 824396702 relations and 791820935 unique ideals
  264. Fri Jan 23 20:23:02 2026 reduce to 824274747 relations and 782651300 ideals in 7 passes
  265. Fri Jan 23 20:23:02 2026 max relations containing the same ideal: 153
  266. Fri Jan 23 20:26:23 2026 removing 11013211 relations and 9013211 ideals in 2000000 cliques
  267. Fri Jan 23 20:26:42 2026 commencing in-memory singleton removal
  268. Fri Jan 23 20:26:46 2026 begin with 813261536 relations and 782651300 unique ideals
  269. Fri Jan 23 20:27:05 2026 reduce to 813138581 relations and 773514822 ideals in 7 passes
  270. Fri Jan 23 20:27:05 2026 max relations containing the same ideal: 151
  271. Fri Jan 23 20:30:21 2026 removing 10969863 relations and 8969863 ideals in 2000000 cliques
  272. Fri Jan 23 20:30:38 2026 commencing in-memory singleton removal
  273. Fri Jan 23 20:30:42 2026 begin with 802168718 relations and 773514822 unique ideals
  274. Fri Jan 23 20:31:03 2026 reduce to 802044764 relations and 764420694 ideals in 8 passes
  275. Fri Jan 23 20:31:03 2026 max relations containing the same ideal: 151
  276. Fri Jan 23 20:34:13 2026 removing 10939193 relations and 8939193 ideals in 2000000 cliques
  277. Fri Jan 23 20:34:29 2026 commencing in-memory singleton removal
  278. Fri Jan 23 20:34:33 2026 begin with 791105571 relations and 764420694 unique ideals
  279. Fri Jan 23 20:34:51 2026 reduce to 790980121 relations and 755355741 ideals in 7 passes
  280. Fri Jan 23 20:34:51 2026 max relations containing the same ideal: 148
  281. Fri Jan 23 20:38:03 2026 removing 10900607 relations and 8900607 ideals in 2000000 cliques
  282. Fri Jan 23 20:38:20 2026 commencing in-memory singleton removal
  283. Fri Jan 23 20:38:24 2026 begin with 780079514 relations and 755355741 unique ideals
  284. Fri Jan 23 20:38:42 2026 reduce to 779954235 relations and 746329574 ideals in 7 passes
  285. Fri Jan 23 20:38:42 2026 max relations containing the same ideal: 148
  286. Fri Jan 23 20:41:49 2026 removing 10873114 relations and 8873114 ideals in 2000000 cliques
  287. Fri Jan 23 20:42:05 2026 commencing in-memory singleton removal
  288. Fri Jan 23 20:42:09 2026 begin with 769081121 relations and 746329574 unique ideals
  289. Fri Jan 23 20:42:26 2026 reduce to 768954931 relations and 737329942 ideals in 7 passes
  290. Fri Jan 23 20:42:26 2026 max relations containing the same ideal: 147
  291. Fri Jan 23 20:45:29 2026 removing 10852432 relations and 8852432 ideals in 2000000 cliques
  292. Fri Jan 23 20:45:46 2026 commencing in-memory singleton removal
  293. Fri Jan 23 20:45:49 2026 begin with 758102499 relations and 737329942 unique ideals
  294. Fri Jan 23 20:46:09 2026 reduce to 757973934 relations and 728348626 ideals in 8 passes
  295. Fri Jan 23 20:46:09 2026 max relations containing the same ideal: 145
  296. Fri Jan 23 20:49:08 2026 removing 10825696 relations and 8825696 ideals in 2000000 cliques
  297. Fri Jan 23 20:49:25 2026 commencing in-memory singleton removal
  298. Fri Jan 23 20:49:29 2026 begin with 747148238 relations and 728348626 unique ideals
  299. Fri Jan 23 20:49:46 2026 reduce to 747017443 relations and 719391787 ideals in 7 passes
  300. Fri Jan 23 20:49:46 2026 max relations containing the same ideal: 142
  301. Fri Jan 23 20:52:41 2026 removing 10798869 relations and 8798869 ideals in 2000000 cliques
  302. Fri Jan 23 20:52:58 2026 commencing in-memory singleton removal
  303. Fri Jan 23 20:53:02 2026 begin with 736218574 relations and 719391787 unique ideals
  304. Fri Jan 23 20:53:20 2026 reduce to 736086533 relations and 710460538 ideals in 8 passes
  305. Fri Jan 23 20:53:20 2026 max relations containing the same ideal: 139
  306. Fri Jan 23 20:56:18 2026 removing 10775363 relations and 8775363 ideals in 2000000 cliques
  307. Fri Jan 23 20:56:34 2026 commencing in-memory singleton removal
  308. Fri Jan 23 20:56:38 2026 begin with 725311170 relations and 710460538 unique ideals
  309. Fri Jan 23 20:56:56 2026 reduce to 725178986 relations and 701552651 ideals in 7 passes
  310. Fri Jan 23 20:56:56 2026 max relations containing the same ideal: 137
  311. Fri Jan 23 20:59:44 2026 removing 10760711 relations and 8760711 ideals in 2000000 cliques
  312. Fri Jan 23 21:00:00 2026 commencing in-memory singleton removal
  313. Fri Jan 23 21:00:03 2026 begin with 714418275 relations and 701552651 unique ideals
  314. Fri Jan 23 21:00:20 2026 reduce to 714282665 relations and 692655972 ideals in 7 passes
  315. Fri Jan 23 21:00:20 2026 max relations containing the same ideal: 137
  316. Fri Jan 23 21:03:04 2026 removing 10745527 relations and 8745527 ideals in 2000000 cliques
  317. Fri Jan 23 21:03:19 2026 commencing in-memory singleton removal
  318. Fri Jan 23 21:03:23 2026 begin with 703537138 relations and 692655972 unique ideals
  319. Fri Jan 23 21:03:39 2026 reduce to 703400403 relations and 683773341 ideals in 7 passes
  320. Fri Jan 23 21:03:39 2026 max relations containing the same ideal: 137
  321. Fri Jan 23 21:06:23 2026 removing 10734651 relations and 8734651 ideals in 2000000 cliques
  322. Fri Jan 23 21:06:39 2026 commencing in-memory singleton removal
  323. Fri Jan 23 21:06:42 2026 begin with 692665752 relations and 683773341 unique ideals
  324. Fri Jan 23 21:06:59 2026 reduce to 692527503 relations and 674900055 ideals in 7 passes
  325. Fri Jan 23 21:06:59 2026 max relations containing the same ideal: 134
  326. Fri Jan 23 21:10:01 2026 removing 10719629 relations and 8719629 ideals in 2000000 cliques
  327. Fri Jan 23 21:10:16 2026 commencing in-memory singleton removal
  328. Fri Jan 23 21:10:20 2026 begin with 681807874 relations and 674900055 unique ideals
  329. Fri Jan 23 21:10:36 2026 reduce to 681666319 relations and 666038458 ideals in 7 passes
  330. Fri Jan 23 21:10:36 2026 max relations containing the same ideal: 132
  331. Fri Jan 23 21:13:13 2026 removing 10716545 relations and 8716545 ideals in 2000000 cliques
  332. Fri Jan 23 21:13:28 2026 commencing in-memory singleton removal
  333. Fri Jan 23 21:13:31 2026 begin with 670949774 relations and 666038458 unique ideals
  334. Fri Jan 23 21:13:49 2026 reduce to 670805903 relations and 657177624 ideals in 8 passes
  335. Fri Jan 23 21:13:49 2026 max relations containing the same ideal: 131
  336. Fri Jan 23 21:16:44 2026 removing 10713334 relations and 8713334 ideals in 2000000 cliques
  337. Fri Jan 23 21:17:00 2026 commencing in-memory singleton removal
  338. Fri Jan 23 21:17:03 2026 begin with 660092569 relations and 657177624 unique ideals
  339. Fri Jan 23 21:17:18 2026 reduce to 659947289 relations and 648318566 ideals in 7 passes
  340. Fri Jan 23 21:17:18 2026 max relations containing the same ideal: 130
  341. Fri Jan 23 21:19:50 2026 removing 9585252 relations and 7825270 ideals in 1759982 cliques
  342. Fri Jan 23 21:20:05 2026 commencing in-memory singleton removal
  343. Fri Jan 23 21:20:08 2026 begin with 650362037 relations and 648318566 unique ideals
  344. Fri Jan 23 21:20:23 2026 reduce to 650244033 relations and 640374984 ideals in 7 passes
  345. Fri Jan 23 21:20:23 2026 max relations containing the same ideal: 129
  346. Fri Jan 23 21:24:28 2026 relations with 0 large ideals: 332881
  347. Fri Jan 23 21:24:28 2026 relations with 1 large ideals: 268341
  348. Fri Jan 23 21:24:28 2026 relations with 2 large ideals: 3067950
  349. Fri Jan 23 21:24:28 2026 relations with 3 large ideals: 18706021
  350. Fri Jan 23 21:24:28 2026 relations with 4 large ideals: 65920955
  351. Fri Jan 23 21:24:28 2026 relations with 5 large ideals: 141152817
  352. Fri Jan 23 21:24:28 2026 relations with 6 large ideals: 185151483
  353. Fri Jan 23 21:24:28 2026 relations with 7+ large ideals: 235643585
  354. Fri Jan 23 21:24:28 2026 commencing 2-way merge
  355. Fri Jan 23 21:28:57 2026 reduce to 399678697 relation sets and 389809648 unique ideals
  356. Fri Jan 23 21:28:57 2026 commencing full merge
  357. Fri Jan 23 23:00:11 2026 memory use: 42976.0 MB
  358. Fri Jan 23 23:00:53 2026 found 190489238 cycles, need 189203848
  359. Fri Jan 23 23:02:01 2026 weight of 189203848 cycles is about 20812996803 (110.00/cycle)
  360. Fri Jan 23 23:02:02 2026 distribution of cycle lengths:
  361. Fri Jan 23 23:02:02 2026 1 relations: 13717108
  362. Fri Jan 23 23:02:02 2026 2 relations: 17680799
  363. Fri Jan 23 23:02:02 2026 3 relations: 19480298
  364. Fri Jan 23 23:02:02 2026 4 relations: 18592511
  365. Fri Jan 23 23:02:02 2026 5 relations: 17036408
  366. Fri Jan 23 23:02:02 2026 6 relations: 15561656
  367. Fri Jan 23 23:02:02 2026 7 relations: 13859653
  368. Fri Jan 23 23:02:02 2026 8 relations: 12494708
  369. Fri Jan 23 23:02:02 2026 9 relations: 11103627
  370. Fri Jan 23 23:02:02 2026 10+ relations: 49677080
  371. Fri Jan 23 23:02:02 2026 heaviest cycle: 23 relations
  372. Fri Jan 23 23:02:43 2026 commencing cycle optimization
  373. Fri Jan 23 23:07:53 2026 start with 1307202557 relations
  374. Fri Jan 23 23:39:57 2026 pruned 33169147 relations
  375. Fri Jan 23 23:40:16 2026 memory use: 40409.9 MB
  376. Fri Jan 23 23:40:17 2026 distribution of cycle lengths:
  377. Fri Jan 23 23:40:17 2026 1 relations: 13717108
  378. Fri Jan 23 23:40:17 2026 2 relations: 18085011
  379. Fri Jan 23 23:40:17 2026 3 relations: 20195129
  380. Fri Jan 23 23:40:17 2026 4 relations: 19058794
  381. Fri Jan 23 23:40:17 2026 5 relations: 17492044
  382. Fri Jan 23 23:40:17 2026 6 relations: 15829050
  383. Fri Jan 23 23:40:17 2026 7 relations: 14090971
  384. Fri Jan 23 23:40:17 2026 8 relations: 12609462
  385. Fri Jan 23 23:40:17 2026 9 relations: 11163942
  386. Fri Jan 23 23:40:17 2026 10+ relations: 46962337
  387. Fri Jan 23 23:40:17 2026 heaviest cycle: 23 relations
  388. Fri Jan 23 23:44:25 2026 RelProcTime: 47608
  389. Fri Jan 23 23:45:10 2026 elapsed time 13:14:14
  390. Fri Jan 23 23:45:13 2026
  391. Fri Jan 23 23:45:13 2026
  392. Fri Jan 23 23:45:13 2026 Msieve v. 1.54 (SVN Unversioned directory)
  393. Fri Jan 23 23:45:13 2026 random seeds: 92d8821b 71f6dff3
  394. Fri Jan 23 23:45:13 2026 MPI process 0 of 1
  395. Fri Jan 23 23:45:13 2026 Using 46 OpenMP threads
  396. Fri Jan 23 23:45:13 2026 factoring 105775914947023378931893642231702226465883813690412740789394377716819699830897409306933364027787269198607785123637957955849826082894543847078624422656548412424596404194786903174205227552447680348686242685585538540516727966438539379129388297906522942975763145157594923388609547195407659987701142747223562017454064827464569 (321 digits)
  397. Fri Jan 23 23:45:14 2026 no P-1/P+1/ECM available, skipping
  398. Fri Jan 23 23:45:14 2026 commencing number field sieve (321-digit input)
  399. Fri Jan 23 23:45:14 2026 R0: -106387358923716524807713475752456393740167855629859291136
  400. Fri Jan 23 23:45:14 2026 R1: 1
  401. Fri Jan 23 23:45:14 2026 A0: -6
  402. Fri Jan 23 23:45:14 2026 A1: 0
  403. Fri Jan 23 23:45:14 2026 A2: 0
  404. Fri Jan 23 23:45:14 2026 A3: 0
  405. Fri Jan 23 23:45:14 2026 A4: 0
  406. Fri Jan 23 23:45:14 2026 A5: 0
  407. Fri Jan 23 23:45:14 2026 A6: 1
  408. Fri Jan 23 23:45:14 2026 skew 1.79, size 2.043e-16, alpha 1.872, combined = 1.443e-16 rroots = 2
  409. Fri Jan 23 23:45:14 2026
  410. Fri Jan 23 23:45:14 2026 commencing linear algebra
  411. Fri Jan 23 23:45:14 2026 using VBITS=256
  412. Fri Jan 23 23:45:14 2026 stopping after matrix build
  413. Fri Jan 23 23:45:14 2026 initialized process (0,0) of 1 x 1 grid
  414. Fri Jan 23 23:45:32 2026 read 189203848 cycles
  415. Fri Jan 23 23:50:16 2026 cycles contain 644200429 unique relations
  416. Fri Jan 23 23:55:08 2026 read 644200429 relations
  417. Fri Jan 23 23:56:43 2026 using 20 quadratic characters above 4294917295
  418. Fri Jan 23 23:57:47 2026 building initial matrix
  419. Sat Jan 24 01:38:53 2026 memory use: 88998.6 MB
  420. Sat Jan 24 01:40:45 2026 read 189203848 cycles
  421. Sat Jan 24 01:41:02 2026 matrix is 189203668 x 189203848 (83481.3 MB) with weight 23856353007 (126.09/col)
  422. Sat Jan 24 01:41:02 2026 sparse part has weight 19992093148 (105.66/col)
  423. Sat Jan 24 02:15:08 2026 filtering completed in 2 passes
  424. Sat Jan 24 02:15:39 2026 matrix is 189152257 x 189152427 (83477.9 MB) with weight 23854919048 (126.11/col)
  425. Sat Jan 24 02:15:39 2026 sparse part has weight 19991697612 (105.69/col)
  426. Sat Jan 24 02:20:47 2026 BLanczosTime: 9333
  427. Sat Jan 24 02:20:47 2026 elapsed time 02:35:34
  428. Sat Jan 24 10:59:35 2026
  429. Sat Jan 24 10:59:35 2026
  430. Sat Jan 24 10:59:35 2026 Msieve v. 1.54 (SVN Unversioned directory)
  431. Sat Jan 24 10:59:35 2026 random seeds: e803f9a2 d7923fc5
  432. Sat Jan 24 10:59:35 2026 MPI process 0 of 4
  433. Sat Jan 24 10:59:35 2026 Using 15 OpenMP threads
  434. Sat Jan 24 10:59:35 2026 factoring 105775914947023378931893642231702226465883813690412740789394377716819699830897409306933364027787269198607785123637957955849826082894543847078624422656548412424596404194786903174205227552447680348686242685585538540516727966438539379129388297906522942975763145157594923388609547195407659987701142747223562017454064827464569 (321 digits)
  435. Sat Jan 24 10:59:36 2026 no P-1/P+1/ECM available, skipping
  436. Sat Jan 24 10:59:36 2026 commencing number field sieve (321-digit input)
  437. Sat Jan 24 10:59:36 2026 R0: -106387358923716524807713475752456393740167855629859291136
  438. Sat Jan 24 10:59:36 2026 R1: 1
  439. Sat Jan 24 10:59:36 2026 A0: -6
  440. Sat Jan 24 10:59:36 2026 A1: 0
  441. Sat Jan 24 10:59:36 2026 A2: 0
  442. Sat Jan 24 10:59:36 2026 A3: 0
  443. Sat Jan 24 10:59:36 2026 A4: 0
  444. Sat Jan 24 10:59:36 2026 A5: 0
  445. Sat Jan 24 10:59:36 2026 A6: 1
  446. Sat Jan 24 10:59:36 2026 skew 1.79, size 2.043e-16, alpha 1.872, combined = 1.443e-16 rroots = 2
  447. Sat Jan 24 10:59:36 2026
  448. Sat Jan 24 10:59:36 2026 commencing linear algebra
  449. Sat Jan 24 10:59:36 2026 using VBITS=256
  450. Sat Jan 24 10:59:36 2026 skipping matrix build
  451. Sat Jan 24 10:59:36 2026 initialized process (0,0) of 2 x 2 grid
  452. Sat Jan 24 11:01:14 2026 matrix starts at (0, 0)
  453. Sat Jan 24 11:01:19 2026 matrix is 94576249 x 94576048 (24223.2 MB) with weight 7335807516 (77.57/col)
  454. Sat Jan 24 11:01:19 2026 sparse part has weight 5404204126 (57.14/col)
  455. Sat Jan 24 11:01:19 2026 saving the first 240 matrix rows for later
  456. Sat Jan 24 11:01:38 2026 matrix includes 256 packed rows
  457. Sat Jan 24 11:01:50 2026 matrix is 94576009 x 94576048 (22111.0 MB) with weight 4595443123 (48.59/col)
  458. Sat Jan 24 11:01:50 2026 sparse part has weight 4283054751 (45.29/col)
  459. Sat Jan 24 11:01:50 2026 using GPU 0 (NVIDIA H200)
  460. Sat Jan 24 11:01:50 2026 selected card has CUDA arch 9.0
  461. Sat Jan 24 11:08:51 2026 commencing Lanczos iteration
  462. Sat Jan 24 11:08:55 2026 memory use: 52159.2 MB
  463. Sat Jan 24 11:09:50 2026 linear algebra at 0.0%, ETA 89h11m
  464. Sat Jan 24 11:11:09 2026 checking every 30000 dimensions, checkpointing every 2130000 dimensions
  465. Wed Jan 28 05:20:48 2026 lanczos halted after 741093 iterations (dim = 189152017)
  466. Wed Jan 28 05:29:13 2026 recovered 38 nontrivial dependencies
  467. Wed Jan 28 05:29:16 2026 BLanczosTime: 325780
  468. Wed Jan 28 05:29:16 2026 elapsed time 90:29:41
  469. Wed Jan 28 08:43:58 2026
  470. Wed Jan 28 08:43:58 2026
  471. Wed Jan 28 08:43:58 2026 Msieve v. 1.54 (SVN Unversioned directory)
  472. Wed Jan 28 08:43:58 2026 random seeds: 3a8f98f1 4434adec
  473. Wed Jan 28 08:43:58 2026 MPI process 0 of 1
  474. Wed Jan 28 08:43:58 2026 Using 32 OpenMP threads
  475. Wed Jan 28 08:43:58 2026 factoring 105775914947023378931893642231702226465883813690412740789394377716819699830897409306933364027787269198607785123637957955849826082894543847078624422656548412424596404194786903174205227552447680348686242685585538540516727966438539379129388297906522942975763145157594923388609547195407659987701142747223562017454064827464569 (321 digits)
  476. Wed Jan 28 08:44:00 2026 no P-1/P+1/ECM available, skipping
  477. Wed Jan 28 08:44:00 2026 commencing number field sieve (321-digit input)
  478. Wed Jan 28 08:44:00 2026 R0: -106387358923716524807713475752456393740167855629859291136
  479. Wed Jan 28 08:44:00 2026 R1: 1
  480. Wed Jan 28 08:44:00 2026 A0: -6
  481. Wed Jan 28 08:44:00 2026 A1: 0
  482. Wed Jan 28 08:44:00 2026 A2: 0
  483. Wed Jan 28 08:44:00 2026 A3: 0
  484. Wed Jan 28 08:44:00 2026 A4: 0
  485. Wed Jan 28 08:44:00 2026 A5: 0
  486. Wed Jan 28 08:44:00 2026 A6: 1
  487. Wed Jan 28 08:44:00 2026 skew 1.79, size 2.043e-16, alpha 1.872, combined = 1.443e-16 rroots = 2
  488. Wed Jan 28 08:44:00 2026
  489. Wed Jan 28 08:44:00 2026 commencing square root phase
  490. Wed Jan 28 08:44:00 2026 reading relations for dependency 1
  491. Wed Jan 28 08:44:31 2026 read 94568284 cycles
  492. Wed Jan 28 08:48:10 2026 cycles contain 322088026 unique relations
  493. Wed Jan 28 08:59:13 2026 read 322088026 relations
  494. Wed Jan 28 09:32:23 2026 multiplying 322088026 relations
  495. Wed Jan 28 10:04:24 2026 multiply complete, coefficients have about 9486.47 million bits
  496. Wed Jan 28 10:05:04 2026 initial square root is modulo 208591
  497. Wed Jan 28 11:44:47 2026 sqrtTime: 10847
  498. Wed Jan 28 11:44:47 2026 p79 factor: 3858255754737427565423769616977324199836994365849715046455315935362036578007059
  499. Wed Jan 28 11:44:47 2026 p242 factor: 27415475196828139507146038242662342421889046823853721543936995196707958401226309073297909228777676854749729101526847535182394078405332821821965132338744683083144615110726690926052726527069397550654304759504564191287336973626275870615331325891
  500. Wed Jan 28 11:44:47 2026 elapsed time 03:00:49
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